Input buildinfo: https://buildinfos.debian.net/buildinfo-pool/g/giac/giac_1.6.0.41+dfsg1-1_all.buildinfo Use metasnap for getting required timestamps New buildinfo file: /tmp/giac-1.6.0.41+dfsg1-1z9ofnt3h/giac_1.6.0.41+dfsg1-1_all.buildinfo Get source package info: giac=1.6.0.41+dfsg1-1 Source URL: http://snapshot.notset.fr/mr/package/giac/1.6.0.41+dfsg1-1/srcfiles?fileinfo=1 env -i PATH=/usr/sbin:/usr/bin:/sbin:/bin TMPDIR=/tmp mmdebstrap --arch=amd64 --include=autoconf=2.69-12 automake=1:1.16.3-1 autopoint=0.19.8.1-10 autotools-dev=20180224.1 base-files=11 base-passwd=3.5.48 bash=5.1-1 binutils=2.35.1-4 binutils-common=2.35.1-4 binutils-x86-64-linux-gnu=2.35.1-4 bison=2:3.7.4+dfsg-1 bsdextrautils=2.36.1-3 bsdutils=1:2.36.1-2 build-essential=12.8 bzip2=1.0.8-4 ca-certificates=20200601 coreutils=8.32-4+b1 cpp=4:10.2.0-1 cpp-10=10.2.1-1 dash=0.5.11+git20200708+dd9ef66-5 debconf=1.5.74 debhelper=13.3 debianutils=4.11.2 dh-autoreconf=19 dh-strip-nondeterminism=1.9.0-1 diffutils=1:3.7-3 dpkg=1.20.5 dpkg-dev=1.20.5 dwz=0.13+20201015-2 file=1:5.39-3 findutils=4.7.0+git20201010-2 flex=2.6.4-8 fontconfig-config=2.13.1-4.2 fonts-arphic-bkai00mp=2.10-21 fonts-arphic-bsmi00lp=2.10-18 fonts-arphic-gbsn00lp=2.11-16 fonts-arphic-gkai00mp=2.11-16 fonts-baekmuk=2.2-13 fonts-dejavu-core=2.37-2 fonts-gfs-baskerville=1.1-6 fonts-gfs-porson=1.1-7 fonts-hosny-amiri=0.113-1 fonts-ipaexfont-gothic=00401-3 fonts-ipaexfont-mincho=00401-3 fonts-ipafont-gothic=00303-21 fonts-ipafont-mincho=00303-21 fonts-lmodern=2.004.5-6 fonts-mathjax=2.7.9+dfsg-1 fonts-sil-padauk=4.000-1 fonts-tlwg-garuda-otf=1:0.7.2-1 fonts-tlwg-kinnari-otf=1:0.7.2-1 fonts-tlwg-laksaman-otf=1:0.7.2-1 fonts-tlwg-loma-otf=1:0.7.2-1 fonts-tlwg-mono-otf=1:0.7.2-1 fonts-tlwg-norasi-otf=1:0.7.2-1 fonts-tlwg-purisa-otf=1:0.7.2-1 fonts-tlwg-sawasdee-otf=1:0.7.2-1 fonts-tlwg-typewriter-otf=1:0.7.2-1 fonts-tlwg-typist-otf=1:0.7.2-1 fonts-tlwg-typo-otf=1:0.7.2-1 fonts-tlwg-umpush-otf=1:0.7.2-1 fonts-tlwg-waree-otf=1:0.7.2-1 fonts-unfonts-core=1:1.0.2-080608-16 fonts-unfonts-extra=1:1.0.2-080608+dfsg-9 fonts-urw-base35=20200910-1 g++=4:10.2.0-1 g++-10=10.2.1-1 gcc=4:10.2.0-1 gcc-10=10.2.1-1 gcc-10-base=10.2.1-1 gettext=0.19.8.1-10 gettext-base=0.19.8.1-10 ghostscript=9.53.3~dfsg-5 ghostscript-x=9.53.3~dfsg-5 grep=3.6-1 groff-base=1.22.4-5 gzip=1.10-2 hevea=2.34-2+b1 hicolor-icon-theme=0.17-2 hostname=3.23 imagemagick=8:6.9.11.24+dfsg-1+b2 imagemagick-6-common=8:6.9.11.24+dfsg-1 imagemagick-6.q16=8:6.9.11.24+dfsg-1+b2 init-system-helpers=1.60 intltool-debian=0.35.0+20060710.5 latex2html=2020.2-debian1-1 libacl1=2.2.53-8 libaom0=1.0.0.errata1-3 libapache-pom-java=18-1 libarchive-zip-perl=1.68-1 libasan6=10.2.1-1 libatomic1=10.2.1-1 libattr1=1:2.4.48-5 libaudit-common=1:2.8.5-3.1 libaudit1=1:2.8.5-3.1+b1 libavahi-client3=0.8-3 libavahi-common-data=0.8-3 libavahi-common3=0.8-3 libbinutils=2.35.1-4 libblkid1=2.36.1-2 libbrotli-dev=1.0.9-2+b2 libbrotli1=1.0.9-2+b2 libbsd0=0.10.0-1 libbz2-1.0=1.0.8-4 libc-bin=2.31-5 libc-dev-bin=2.31-5 libc6=2.31-5 libc6-dev=2.31-5 libcairo2=1.16.0-4 libcap-ng0=0.7.9-2.2+b1 libcc1-0=10.2.1-1 libcom-err2=1.45.6-1 libcommons-logging-java=1.2-2 libcommons-parent-java=43-1 libcroco3=0.6.13-1 libcrypt-dev=1:4.4.17-1 libcrypt1=1:4.4.17-1 libctf-nobfd0=2.35.1-4 libctf0=2.35.1-4 libcups2=2.3.3op1-3 libdav1d4=0.7.1-3 libdb5.3=5.3.28+dfsg1-0.6 libdbus-1-3=1.12.20-1 libde265-0=1.0.8-1 libdebconfclient0=0.255 libdebhelper-perl=13.3 libdeflate0=1.6-1 libdpkg-perl=1.20.5 libdrm-amdgpu1=2.4.103-2 libdrm-common=2.4.103-2 libdrm-intel1=2.4.103-2 libdrm-nouveau2=2.4.103-2 libdrm-radeon1=2.4.103-2 libdrm2=2.4.103-2 libedit2=3.1-20191231-2 libegl-dev=1.3.2-1 libegl-mesa0=20.2.6-1 libegl1=1.3.2-1 libelf1=0.182-1 libexpat1=2.2.10-1 libexpat1-dev=2.2.10-1 libffi7=3.3-5 libfftw3-double3=3.3.8-2 libfile-stripnondeterminism-perl=1.9.0-1 libfltk-cairo1.3=1.3.5-2 libfltk-forms1.3=1.3.5-2 libfltk-gl1.3=1.3.5-2 libfltk-images1.3=1.3.5-2 libfltk1.3=1.3.5-2 libfltk1.3-dev=1.3.5-2 libfontbox-java=1:1.8.16-2 libfontconfig-dev=2.13.1-4.2 libfontconfig1=2.13.1-4.2 libfontconfig1-dev=2.13.1-4.2 libfontenc1=1:1.1.4-1 libfreetype-dev=2.10.4+dfsg-1 libfreetype6=2.10.4+dfsg-1 libfreetype6-dev=2.10.4+dfsg-1 libgbm1=20.2.6-1 libgcc-10-dev=10.2.1-1 libgcc-s1=10.2.1-1 libgcrypt20=1.8.7-2 libgdbm-compat4=1.18.1-5.1 libgdbm6=1.18.1-5.1 libgf2x3=1.3.0-1+b1 libgl-dev=1.3.2-1 libgl1=1.3.2-1 libgl1-mesa-dev=20.2.6-1 libgl1-mesa-dri=20.2.6-1 libgl2ps-dev=1.4.2+dfsg1-1 libgl2ps1.4=1.4.2+dfsg1-1 libglapi-mesa=20.2.6-1 libgles-dev=1.3.2-1 libgles1=1.3.2-1 libgles2=1.3.2-1 libglib2.0-0=2.66.4-1 libglu1-mesa=9.0.1-1 libglu1-mesa-dev=9.0.1-1 libglvnd-dev=1.3.2-1 libglvnd0=1.3.2-1 libglx-dev=1.3.2-1 libglx-mesa0=20.2.6-1 libglx0=1.3.2-1 libgmp-dev=2:6.2.1+dfsg-1 libgmp10=2:6.2.1+dfsg-1 libgmp3-dev=2:6.2.1+dfsg-1 libgmpxx4ldbl=2:6.2.1+dfsg-1 libgnutls30=3.7.0-3 libgomp1=10.2.1-1 libgpg-error0=1.38-2 libgraphite2-3=1.3.14-1 libgs9=9.53.3~dfsg-5 libgs9-common=9.53.3~dfsg-5 libgsl-dev=2.6+dfsg-2 libgsl25=2.6+dfsg-2 libgslcblas0=2.6+dfsg-2 libgssapi-krb5-2=1.18.3-4 libharfbuzz0b=2.6.7-1 libheif1=1.10.0-1 libhogweed6=3.6-2 libice6=2:1.0.10-1 libicu67=67.1-5 libidn11=1.33-2.4 libidn2-0=2.3.0-4 libijs-0.35=0.35-15 libisl23=0.23-1 libitm1=10.2.1-1 libjbig0=2.1-3.1+b2 libjbig2dec0=0.19-1 libjpeg-dev=1:2.0.5-1.1 libjpeg62-turbo=1:2.0.5-1.1 libjpeg62-turbo-dev=1:2.0.5-1.1 libjs-codemirror=5.58.2+~cs0.23.101-1 libjs-jquery=3.5.1+dfsg+~3.5.4-3 libjs-mathjax=2.7.9+dfsg-1 libk5crypto3=1.18.3-4 libkeyutils1=1.6.1-2 libkpathsea6=2020.20200327.54578-5 libkrb5-3=1.18.3-4 libkrb5support0=1.18.3-4 liblcms2-2=2.9-4+b1 libllvm11=1:11.0.1~+rc2-1 liblqr-1-0=0.4.2-2.1 liblsan0=10.2.1-1 libltdl7=2.4.6-14 liblz4-1=1.9.2-2 liblzma5=5.2.4-1+b1 libmagic-mgc=1:5.39-3 libmagic1=1:5.39-3 libmagickcore-6.q16-6=8:6.9.11.24+dfsg-1+b2 libmagickwand-6.q16-6=8:6.9.11.24+dfsg-1+b2 libmount1=2.36.1-2 libmpc3=1.2.0-1 libmpfi-dev=1.5.3+ds-5 libmpfi-dev-common=1.5.3+ds-5 libmpfi0=1.5.3+ds-5 libmpfr-dev=4.1.0-3 libmpfr6=4.1.0-3 libncurses-dev=6.2+20201114-1 libncurses6=6.2+20201114-1 libncursesw6=6.2+20201114-1 libnetpbm10=2:10.0-15.3+b2 libnettle8=3.6-2 libnsl-dev=1.3.0-2 libnsl2=1.3.0-2 libnspr4=2:4.29-1 libnss3=2:3.59-1 libntl-dev=11.4.3-1+b1 libntl43=11.4.3-1+b1 libnuma1=2.0.12-1+b1 libopengl-dev=1.3.2-1 libopengl0=1.3.2-1 libopenjp2-7=2.3.1-1 libp11-kit0=0.23.22-1 libpam-modules=1.3.1-5 libpam-modules-bin=1.3.1-5 libpam-runtime=1.3.1-5 libpam0g=1.3.1-5 libpaper-utils=1.1.28+b1 libpaper1=1.1.28+b1 libpari-dev=2.13.0-2 libpari-gmp-tls7=2.13.0-2 libpciaccess0=0.16-1 libpcre2-8-0=10.36-2 libpcre3=2:8.39-13 libpdfbox-java=1:1.8.16-2 libperl5.32=5.32.0-6 libpipeline1=1.5.3-1 libpixman-1-0=0.40.0-1 libpng-dev=1.6.37-3 libpng16-16=1.6.37-3 libpoppler102=20.09.0-3 libptexenc1=2020.20200327.54578-5 libpthread-stubs0-dev=0.4-1 libpython3-stdlib=3.9.0-4 libpython3.9-minimal=3.9.1-1 libpython3.9-stdlib=3.9.1-1 libquadmath0=10.2.1-1 libreadline-dev=8.1-1 libreadline8=8.1-1 libruby2.7=2.7.2-3 libseccomp2=2.5.0-3+b1 libselinux1=3.1-2+b2 libsensors-config=1:3.6.0-2 libsensors5=1:3.6.0-2 libsigsegv2=2.12-3 libsm6=2:1.2.3-1 libsmartcols1=2.36.1-2 libsqlite3-0=3.34.0-1 libssl1.1=1.1.1i-1 libstdc++-10-dev=10.2.1-1 libstdc++6=10.2.1-1 libsub-override-perl=0.09-2 libsynctex2=2020.20200327.54578-5 libsystemd0=247.1-4 libtasn1-6=4.16.0-2 libteckit0=2.5.10+ds1-3 libtexlua53=2020.20200327.54578-5 libtexluajit2=2020.20200327.54578-5 libtext-unidecode-perl=1.30-1 libtiff5=4.1.0+git201212-1 libtinfo6=6.2+20201114-1 libtirpc-common=1.2.6-3 libtirpc-dev=1.2.6-3 libtirpc3=1.2.6-3 libtool=2.4.6-14 libtsan0=10.2.1-1 libubsan1=10.2.1-1 libuchardet0=0.0.7-1 libudev1=247.1-4 libunistring2=0.9.10-4 libunwind8=1.3.2-2 libuuid1=2.36.1-3 libvulkan1=1.2.154.1-1 libwayland-client0=1.18.0-2~exp1.1 libwayland-server0=1.18.0-2~exp1.1 libwebp6=0.6.1-2+b1 libwebpdemux2=0.6.1-2+b1 libwebpmux3=0.6.1-2+b1 libx11-6=2:1.6.12-1 libx11-data=2:1.6.12-1 libx11-dev=2:1.6.12-1 libx11-xcb1=2:1.6.12-1 libx265-192=3.4-2 libxau-dev=1:1.0.8-1+b2 libxau6=1:1.0.8-1+b2 libxaw7=2:1.0.13-1.1 libxcb-dri2-0=1.14-2 libxcb-dri3-0=1.14-2 libxcb-glx0=1.14-2 libxcb-present0=1.14-2 libxcb-render0=1.14-2 libxcb-shm0=1.14-2 libxcb-sync1=1.14-2 libxcb-xfixes0=1.14-2 libxcb1=1.14-2 libxcb1-dev=1.14-2 libxcursor1=1:1.2.0-2 libxdamage1=1:1.1.5-2 libxdmcp-dev=1:1.1.2-3 libxdmcp6=1:1.1.2-3 libxext-dev=2:1.3.3-1.1 libxext6=2:1.3.3-1.1 libxfixes3=1:5.0.3-2 libxfont2=1:2.0.4-1 libxft-dev=2.3.2-2 libxft2=2.3.2-2 libxi6=2:1.7.10-1 libxinerama-dev=2:1.1.4-2 libxinerama1=2:1.1.4-2 libxkbfile1=1:1.1.0-1 libxml-libxml-perl=2.0134+dfsg-2+b1 libxml-namespacesupport-perl=1.12-1 libxml-sax-base-perl=1.09-1 libxml-sax-perl=1.02+dfsg-1 libxml2=2.9.10+dfsg-6.3+b1 libxmu6=2:1.1.2-2+b3 libxmuu1=2:1.1.2-2+b3 libxpm4=1:3.5.12-1 libxrender-dev=1:0.9.10-1 libxrender1=1:0.9.10-1 libxshmfence1=1.3-1 libxt6=1:1.2.0-1 libxxf86vm1=1:1.1.4-1+b2 libyaml-0-2=0.2.2-1 libz3-4=4.8.9-1 libzstd1=1.4.5+dfsg-4 libzzip-0-13=0.13.62-3.2 linux-libc-dev=5.9.11-1 lmodern=2.004.5-6 login=1:4.8.1-1 lsb-base=11.1.0 m4=1.4.18-4 mailcap=3.67 make=4.3-4 man-db=2.9.3-2 mawk=1.3.4.20200120-2 media-types=1.0.1 mime-support=3.66 ncurses-base=6.2+20201114-1 ncurses-bin=6.2+20201114-1 netpbm=2:10.0-15.3+b2 node-jquery=3.5.1+dfsg+~3.5.4-3 openssl=1.1.1i-1 patch=2.7.6-6 perl=5.32.0-6 perl-base=5.32.0-6 perl-doc=5.32.0-6 perl-modules-5.32=5.32.0-6 pkg-config=0.29.2-1 po-debconf=1.0.21 poppler-data=0.4.10-1 poppler-utils=20.09.0-3 preview-latex-style=12.2-1 python3=3.9.0-4 python3-minimal=3.9.0-4 python3.9=3.9.1-1 python3.9-minimal=3.9.1-1 rake=13.0.1-4 readline-common=8.1-1 ruby=1:2.7+2 ruby-minitest=5.13.0-1 ruby-net-telnet=0.1.1-2 ruby-power-assert=1.1.7-1 ruby-rubygems=3.2.0~rc.2-5 ruby-test-unit=3.3.5-1 ruby-xmlrpc=0.3.0-2 ruby2.7=2.7.2-3 rubygems-integration=1.17.3 sed=4.7-1 sensible-utils=0.0.12+nmu1 sysvinit-utils=2.96-5 t1utils=1.41-4 tar=1.32+dfsg-1 tex-common=6.15 texinfo=6.7.0.dfsg.2-5+b1 texlive-base=2020.20201203-2 texlive-binaries=2020.20200327.54578-5 texlive-font-utils=2020.20201129-2 texlive-fonts-recommended=2020.20201203-2 texlive-lang-all=2020.20201129-1 texlive-lang-arabic=2020.20201129-1 texlive-lang-chinese=2020.20201129-1 texlive-lang-cjk=2020.20201129-1 texlive-lang-cyrillic=2020.20201129-1 texlive-lang-czechslovak=2020.20201129-1 texlive-lang-english=2020.20201129-1 texlive-lang-european=2020.20201129-1 texlive-lang-french=2020.20201129-1 texlive-lang-german=2020.20201129-1 texlive-lang-greek=2020.20201129-1 texlive-lang-italian=2020.20201129-1 texlive-lang-japanese=2020.20201129-1 texlive-lang-korean=2020.20201129-1 texlive-lang-other=2020.20201129-1 texlive-lang-polish=2020.20201129-1 texlive-lang-portuguese=2020.20201129-1 texlive-lang-spanish=2020.20201129-1 texlive-latex-base=2020.20201203-2 texlive-latex-extra=2020.20201129-2 texlive-latex-recommended=2020.20201203-2 texlive-luatex=2020.20201203-2 texlive-pictures=2020.20201203-2 texlive-plain-generic=2020.20201129-2 texlive-pstricks=2020.20201129-2 texlive-science=2020.20201129-2 tzdata=2020d-1 ucf=3.0043 util-linux=2.36.1-2 uuid-dev=2.36.1-3 x11-common=1:7.7+21 x11-xkb-utils=7.7+5 x11proto-core-dev=2020.1-1 x11proto-dev=2020.1-1 x11proto-xext-dev=2020.1-1 x11proto-xinerama-dev=2020.1-1 xauth=1:1.0.10-1 xdg-utils=1.1.3-2 xfonts-encodings=1:1.0.4-2.1 xfonts-utils=1:7.7+6 xkb-data=2.29-2 xorg-sgml-doctools=1:1.11-1 xserver-common=2:1.20.10-1 xtrans-dev=1.4.0-1 xvfb=2:1.20.10-1 xz-utils=5.2.4-1+b1 zlib1g=1:1.2.11.dfsg-2 zlib1g-dev=1:1.2.11.dfsg-2 --variant=apt --aptopt=Acquire::Check-Valid-Until "false" --aptopt=Acquire::http::Dl-Limit "1000"; --aptopt=Acquire::https::Dl-Limit "1000"; --aptopt=Acquire::Retries "5"; --aptopt=APT::Get::allow-downgrades "true"; --keyring=/usr/share/keyrings/ --essential-hook=chroot "$1" sh -c "apt-get --yes install fakeroot util-linux" --essential-hook=copy-in /usr/share/keyrings/debian-archive-bullseye-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-security-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-stable.gpg /usr/share/keyrings/debian-archive-buster-automatic.gpg /usr/share/keyrings/debian-archive-buster-security-automatic.gpg /usr/share/keyrings/debian-archive-buster-stable.gpg /usr/share/keyrings/debian-archive-keyring.gpg /usr/share/keyrings/debian-archive-removed-keys.gpg /usr/share/keyrings/debian-archive-stretch-automatic.gpg /usr/share/keyrings/debian-archive-stretch-security-automatic.gpg /usr/share/keyrings/debian-archive-stretch-stable.gpg /usr/share/keyrings/debian-ports-archive-keyring-removed.gpg /usr/share/keyrings/debian-ports-archive-keyring.gpg /usr/share/keyrings/debian-keyring.gpg /etc/apt/trusted.gpg.d/ --essential-hook=chroot "$1" sh -c "rm /etc/apt/sources.list && echo 'deb http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb-src http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb http://snapshot.notset.fr/archive/debian/20201223T083715Z/ unstable main deb http://snapshot.notset.fr/archive/debian/20201216T205250Z/ unstable main' >> /etc/apt/sources.list && apt-get update" --customize-hook=chroot "$1" useradd --no-create-home -d /nonexistent -p "" builduser -s /bin/bash --customize-hook=chroot "$1" env sh -c "apt-get source --only-source -d giac=1.6.0.41+dfsg1-1 && mkdir -p /build/giac-ssilxB && dpkg-source --no-check -x /*.dsc /build/giac-ssilxB/giac-1.6.0.41+dfsg1 && chown -R builduser:builduser /build/giac-ssilxB" --customize-hook=chroot "$1" env --unset=TMPDIR runuser builduser -c "cd /build/giac-ssilxB/giac-1.6.0.41+dfsg1 && env DEB_BUILD_OPTIONS="parallel=4" LC_ALL="C.UTF-8" SOURCE_DATE_EPOCH="1608388927" dpkg-buildpackage -uc -a amd64 --build=all" --customize-hook=sync-out /build/giac-ssilxB /tmp/giac-1.6.0.41+dfsg1-1z9ofnt3h bullseye /dev/null deb http://snapshot.notset.fr/archive/debian/20201216T205250Z unstable main I: automatically chosen mode: root I: chroot architecture amd64 is equal to the host's architecture I: automatically chosen format: tar I: using /tmp/mmdebstrap.suMO1nfYOK as tempdir I: running apt-get update... I: downloading packages with apt... I: extracting archives... I: installing essential packages... I: running --essential-hook in shell: sh -c 'chroot "$1" sh -c "apt-get --yes install fakeroot util-linux"' exec /tmp/mmdebstrap.suMO1nfYOK Reading package lists... Building dependency tree... util-linux is already the newest version (2.36.1-2). The following NEW packages will be installed: fakeroot libfakeroot 0 upgraded, 2 newly installed, 0 to remove and 0 not upgraded. Need to get 134 kB of archives. After this operation, 397 kB of additional disk space will be used. Get:1 http://snapshot.notset.fr/archive/debian/20201216T205250Z unstable/main amd64 libfakeroot amd64 1.25.3-1.1 [47.0 kB] Get:2 http://snapshot.notset.fr/archive/debian/20201216T205250Z unstable/main amd64 fakeroot amd64 1.25.3-1.1 [87.0 kB] debconf: delaying package configuration, since apt-utils is not installed Fetched 134 kB in 0s (537 kB/s) Selecting previously unselected package libfakeroot:amd64. (Reading database ... (Reading database ... 5% (Reading database ... 10% (Reading database ... 15% (Reading database ... 20% (Reading database ... 25% (Reading database ... 30% (Reading database ... 35% (Reading database ... 40% (Reading database ... 45% (Reading database ... 50% (Reading database ... 55% (Reading database ... 60% (Reading database ... 65% (Reading database ... 70% (Reading database ... 75% (Reading database ... 80% (Reading database ... 85% (Reading database ... 90% (Reading database ... 95% (Reading database ... 100% (Reading database ... 4621 files and directories currently installed.) Preparing to unpack .../libfakeroot_1.25.3-1.1_amd64.deb ... Unpacking libfakeroot:amd64 (1.25.3-1.1) ... Selecting previously unselected package fakeroot. Preparing to unpack .../fakeroot_1.25.3-1.1_amd64.deb ... Unpacking fakeroot (1.25.3-1.1) ... Setting up libfakeroot:amd64 (1.25.3-1.1) ... Setting up fakeroot (1.25.3-1.1) ... update-alternatives: using /usr/bin/fakeroot-sysv to provide /usr/bin/fakeroot (fakeroot) in auto mode Processing triggers for libc-bin (2.31-5) ... I: running special hook: copy-in /usr/share/keyrings/debian-archive-bullseye-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-security-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-stable.gpg /usr/share/keyrings/debian-archive-buster-automatic.gpg /usr/share/keyrings/debian-archive-buster-security-automatic.gpg /usr/share/keyrings/debian-archive-buster-stable.gpg /usr/share/keyrings/debian-archive-keyring.gpg /usr/share/keyrings/debian-archive-removed-keys.gpg /usr/share/keyrings/debian-archive-stretch-automatic.gpg /usr/share/keyrings/debian-archive-stretch-security-automatic.gpg /usr/share/keyrings/debian-archive-stretch-stable.gpg /usr/share/keyrings/debian-ports-archive-keyring-removed.gpg /usr/share/keyrings/debian-ports-archive-keyring.gpg /usr/share/keyrings/debian-keyring.gpg /etc/apt/trusted.gpg.d/ I: running --essential-hook in shell: sh -c 'chroot "$1" sh -c "rm /etc/apt/sources.list && echo 'deb http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb-src http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb http://snapshot.notset.fr/archive/debian/20201223T083715Z/ unstable main deb http://snapshot.notset.fr/archive/debian/20201216T205250Z/ unstable main' >> /etc/apt/sources.list && apt-get update"' exec /tmp/mmdebstrap.suMO1nfYOK Get:1 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm InRelease [81.6 kB] Get:2 http://snapshot.notset.fr/archive/debian/20201223T083715Z unstable InRelease [153 kB] Hit:3 http://snapshot.notset.fr/archive/debian/20201216T205250Z unstable InRelease Ign:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources Ign:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages Ign:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources Ign:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages Ign:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources Ign:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages Get:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources [11.4 MB] Get:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages [11.1 MB] Ign:6 http://snapshot.notset.fr/archive/debian/20201223T083715Z unstable/main amd64 Packages Ign:6 http://snapshot.notset.fr/archive/debian/20201223T083715Z unstable/main amd64 Packages Ign:6 http://snapshot.notset.fr/archive/debian/20201223T083715Z unstable/main amd64 Packages Get:6 http://snapshot.notset.fr/archive/debian/20201223T083715Z unstable/main amd64 Packages [11.6 MB] Fetched 34.3 MB in 33s (1025 kB/s) Reading package lists... I: installing remaining packages inside the chroot... I: running --customize-hook in shell: sh -c 'chroot "$1" useradd --no-create-home -d /nonexistent -p "" builduser -s /bin/bash' exec /tmp/mmdebstrap.suMO1nfYOK I: running --customize-hook in shell: sh -c 'chroot "$1" env sh -c "apt-get source --only-source -d giac=1.6.0.41+dfsg1-1 && mkdir -p /build/giac-ssilxB && dpkg-source --no-check -x /*.dsc /build/giac-ssilxB/giac-1.6.0.41+dfsg1 && chown -R builduser:builduser /build/giac-ssilxB"' exec /tmp/mmdebstrap.suMO1nfYOK Reading package lists... NOTICE: 'giac' packaging is maintained in the 'Git' version control system at: https://salsa.debian.org/science-team/giac.git Please use: git clone https://salsa.debian.org/science-team/giac.git to retrieve the latest (possibly unreleased) updates to the package. Need to get 13.8 MB of source archives. Get:1 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main giac 1.6.0.41+dfsg1-1 (dsc) [3020 B] Get:2 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main giac 1.6.0.41+dfsg1-1 (tar) [13.5 MB] Get:3 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main giac 1.6.0.41+dfsg1-1 (diff) [294 kB] Fetched 13.8 MB in 11s (1250 kB/s) Download complete and in download only mode W: Download is performed unsandboxed as root as file 'giac_1.6.0.41+dfsg1-1.dsc' couldn't be accessed by user '_apt'. - pkgAcquire::Run (13: Permission denied) dpkg-source: info: extracting giac in /build/giac-ssilxB/giac-1.6.0.41+dfsg1 dpkg-source: info: unpacking giac_1.6.0.41+dfsg1.orig.tar.xz dpkg-source: info: unpacking giac_1.6.0.41+dfsg1-1.debian.tar.xz dpkg-source: info: using patch list from debian/patches/series dpkg-source: info: applying system-gl2ps.patch dpkg-source: info: applying version-bison-3.patch dpkg-source: info: applying dont-bg-hevea.patch dpkg-source: info: applying u-version-pari-2.11.patch dpkg-source: info: applying missing-build-rules.patch dpkg-source: info: applying split-build-install.patch dpkg-source: info: applying d-dont-build-files-excluded.patch dpkg-source: info: applying d-find-doc-files-at-buildtime.patch dpkg-source: info: applying d-dont-include-remote-scripts.patch I: running --customize-hook in shell: sh -c 'chroot "$1" env --unset=TMPDIR runuser builduser -c "cd /build/giac-ssilxB/giac-1.6.0.41+dfsg1 && env DEB_BUILD_OPTIONS="parallel=4" LC_ALL="C.UTF-8" SOURCE_DATE_EPOCH="1608388927" dpkg-buildpackage -uc -a amd64 --build=all"' exec /tmp/mmdebstrap.suMO1nfYOK dpkg-buildpackage: info: source package giac dpkg-buildpackage: info: source version 1.6.0.41+dfsg1-1 dpkg-buildpackage: info: source distribution unstable dpkg-buildpackage: info: source changed by Julien Puydt dpkg-source --before-build . debian/rules clean dh "clean" --with autoreconf dh_clean debian/rules binary-indep dh "binary-indep" --with autoreconf dh_update_autotools_config -i debian/rules override_dh_autoreconf make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' find doc/ -maxdepth 1 -type d -exec ln -sf /usr/share/texmf/tex/texinfo/texinfo.tex '{}/' \; cp debian/giac.js doc/giac.js cp -a debian/upstream-doc-fr doc/fr cp doc/fr/Makefile.am.Debian doc/fr/Makefile.am dh_autoreconf Creating directory config Copying file config/config.rpath Creating directory intl Copying file intl/ChangeLog Copying file intl/Makefile.in Copying file intl/VERSION Copying file intl/bindtextdom.c Copying file intl/config.charset Copying file intl/dcgettext.c Copying file intl/dcigettext.c Copying file intl/dcngettext.c Copying file intl/dgettext.c Copying file intl/dngettext.c Copying file intl/eval-plural.h Copying file intl/explodename.c Copying file intl/finddomain.c Copying file intl/gettext.c Copying file intl/gettextP.h Copying file intl/gmo.h Copying file intl/hash-string.h Copying file intl/intl-compat.c Copying file intl/l10nflist.c Copying file intl/langprefs.c Copying file intl/libgnuintl.h.in Copying file intl/loadinfo.h Copying file intl/loadmsgcat.c Copying file intl/localcharset.c Copying file intl/localcharset.h Copying file intl/locale.alias Copying file intl/localealias.c Copying file intl/localename.c Copying file intl/log.c Copying file intl/ngettext.c Copying file intl/os2compat.c Copying file intl/os2compat.h Copying file intl/osdep.c Copying file intl/plural-exp.c Copying file intl/plural-exp.h Copying file intl/plural.c Copying file intl/plural.y Copying file intl/printf-args.c Copying file intl/printf-args.h Copying file intl/printf-parse.c Copying file intl/printf-parse.h Copying file intl/printf.c Copying file intl/ref-add.sin Copying file intl/ref-del.sin Copying file intl/relocatable.c Copying file intl/relocatable.h Copying file intl/textdomain.c Copying file intl/vasnprintf.c Copying file intl/vasnprintf.h Copying file intl/vasnwprintf.h Copying file intl/wprintf-parse.h Copying file intl/xsize.h Creating directory m4 Copying file m4/codeset.m4 Copying file m4/gettext.m4 Copying file m4/glibc2.m4 Copying file m4/glibc21.m4 Copying file m4/iconv.m4 Copying file m4/intdiv0.m4 Copying file m4/intmax.m4 Copying file m4/inttypes-pri.m4 Copying file m4/inttypes.m4 Copying file m4/inttypes_h.m4 Copying file m4/isc-posix.m4 Copying file m4/lcmessage.m4 Copying file m4/lib-ld.m4 Copying file m4/lib-link.m4 Copying file m4/lib-prefix.m4 Copying file m4/longdouble.m4 Copying file m4/longlong.m4 Copying file m4/nls.m4 Copying file m4/po.m4 Copying file m4/printf-posix.m4 Copying file m4/progtest.m4 Copying file m4/signed.m4 Copying file m4/size_max.m4 Copying file m4/stdint_h.m4 Copying file m4/uintmax_t.m4 Copying file m4/ulonglong.m4 Copying file m4/wchar_t.m4 Copying file m4/wint_t.m4 Copying file m4/xsize.m4 Copying file config/mkinstalldirs Copying file po/Makefile.in.in Copying file po/Makevars.template libtoolize: putting auxiliary files in AC_CONFIG_AUX_DIR, 'config'. libtoolize: copying file 'config/ltmain.sh' libtoolize: putting macros in AC_CONFIG_MACRO_DIRS, 'm4'. libtoolize: copying file 'm4/libtool.m4' libtoolize: copying file 'm4/ltoptions.m4' libtoolize: copying file 'm4/ltsugar.m4' libtoolize: copying file 'm4/ltversion.m4' libtoolize: copying file 'm4/lt~obsolete.m4' configure.ac:32: installing 'config/compile' configure.ac:38: installing 'config/config.guess' configure.ac:38: installing 'config/config.sub' configure.ac:27: installing 'config/install-sh' configure.ac:27: installing 'config/missing' parallel-tests: installing 'config/test-driver' doc/el/Makefile.am:1: warning: suffix '.texinfo' for Texinfo files is discouraged; use '.texi' instead doc/el/Makefile.am:1: installing 'config/texinfo.tex' doc/en/Makefile.am:13: warning: suffix '.texinfo' for Texinfo files is discouraged; use '.texi' instead doc/es/Makefile.am:1: warning: suffix '.texinfo' for Texinfo files is discouraged; use '.texi' instead doc/fr/Makefile.am:36: warning: '%'-style pattern rules are a GNU make extension doc/fr/Makefile.am:40: warning: '%'-style pattern rules are a GNU make extension src/Makefile.am: installing 'config/depcomp' configure.ac: installing 'config/ylwrap' make[1]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' dh_auto_configure -i ./configure --build=x86_64-linux-gnu --prefix=/usr --includedir=\${prefix}/include --mandir=\${prefix}/share/man --infodir=\${prefix}/share/info --sysconfdir=/etc --localstatedir=/var --disable-option-checking --disable-silent-rules --libdir=\${prefix}/lib/x86_64-linux-gnu --runstatedir=/run --disable-maintainer-mode --disable-dependency-tracking checking for a BSD-compatible install... /usr/bin/install -c checking whether build environment is sane... yes checking for a thread-safe mkdir -p... /bin/mkdir -p checking for gawk... no checking for mawk... mawk checking whether make sets $(MAKE)... yes checking whether make supports nested variables... yes checking for gcc... gcc checking whether the C compiler works... yes checking for C compiler default output file name... a.out checking for suffix of executables... checking whether we are cross compiling... no checking for suffix of object files... o checking whether we are using the GNU C compiler... yes checking whether gcc accepts -g... yes checking for gcc option to accept ISO C89... none needed checking whether gcc understands -c and -o together... yes checking whether make supports the include directive... yes (GNU style) checking dependency style of gcc... none checking whether ln -s works... yes checking for g++... g++ checking whether we are using the GNU C++ compiler... yes checking whether g++ accepts -g... yes checking dependency style of g++... none checking how to run the C++ preprocessor... g++ -E checking build system type... x86_64-pc-linux-gnu checking host system type... x86_64-pc-linux-gnu checking how to print strings... printf checking for a sed that does not truncate output... /bin/sed checking for grep that handles long lines and -e... /bin/grep checking for egrep... /bin/grep -E checking for fgrep... /bin/grep -F checking for ld used by gcc... /usr/bin/ld checking if the linker (/usr/bin/ld) is GNU ld... yes checking for BSD- or MS-compatible name lister (nm)... /usr/bin/nm -B checking the name lister (/usr/bin/nm -B) interface... BSD nm checking the maximum length of command line arguments... 1572864 checking how to convert x86_64-pc-linux-gnu file names to x86_64-pc-linux-gnu format... func_convert_file_noop checking how to convert x86_64-pc-linux-gnu file names to toolchain format... func_convert_file_noop checking for /usr/bin/ld option to reload object files... -r checking for objdump... objdump checking how to recognize dependent libraries... pass_all checking for dlltool... no checking how to associate runtime and link libraries... printf %s\n checking for ar... ar checking for archiver @FILE support... @ checking for strip... strip checking for ranlib... ranlib checking command to parse /usr/bin/nm -B output from gcc object... ok checking for sysroot... no checking for a working dd... /bin/dd checking how to truncate binary pipes... /bin/dd bs=4096 count=1 checking for mt... no checking if : is a manifest tool... no checking how to run the C preprocessor... gcc -E checking for ANSI C header files... yes checking for sys/types.h... yes checking for sys/stat.h... yes checking for stdlib.h... yes checking for string.h... yes checking for memory.h... yes checking for strings.h... yes checking for inttypes.h... yes checking for stdint.h... yes checking for unistd.h... yes checking for dlfcn.h... yes checking for objdir... .libs checking if gcc supports -fno-rtti -fno-exceptions... no checking for gcc option to produce PIC... -fPIC -DPIC checking if gcc PIC flag -fPIC -DPIC works... yes checking if gcc static flag -static works... yes checking if gcc supports -c -o file.o... yes checking if gcc supports -c -o file.o... (cached) yes checking whether the gcc linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes checking whether -lc should be explicitly linked in... no checking dynamic linker characteristics... GNU/Linux ld.so checking how to hardcode library paths into programs... immediate checking whether stripping libraries is possible... yes checking if libtool supports shared libraries... yes checking whether to build shared libraries... yes checking whether to build static libraries... yes checking how to run the C++ preprocessor... g++ -E checking for ld used by g++... /usr/bin/ld -m elf_x86_64 checking if the linker (/usr/bin/ld -m elf_x86_64) is GNU ld... yes checking whether the g++ linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes checking for g++ option to produce PIC... -fPIC -DPIC checking if g++ PIC flag -fPIC -DPIC works... yes checking if g++ static flag -static works... yes checking if g++ supports -c -o file.o... yes checking if g++ supports -c -o file.o... (cached) yes checking whether the g++ linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes checking dynamic linker characteristics... (cached) GNU/Linux ld.so checking how to hardcode library paths into programs... immediate checking for bison... bison -y checking for flex... flex checking lex output file root... lex.yy checking lex library... none needed checking whether yytext is a pointer... no checking whether byte ordering is bigendian... no checking for standard C++ header files... yes checking gmp.h usability... yes checking gmp.h presence... yes checking for gmp.h... yes checking for main in -lgmp... yes checking mpfr.h usability... yes checking mpfr.h presence... yes checking for mpfr.h... yes checking for main in -lmpfr... yes checking for mpfr_set_str_raw... no checking mpfi.h usability... yes checking mpfi.h presence... yes checking for mpfi.h... yes checking for main in -lmpfi... yes checking ecm.h usability... no checking ecm.h presence... no checking for ecm.h... no checking bern_rat.h usability... no checking bern_rat.h presence... no checking for bern_rat.h... no checking for main in -lm... yes checking png.h usability... yes checking png.h presence... yes checking for png.h... yes checking for library containing png_sig_cmp... -lpng16 checking for dlopen in -ldl... yes checking size of void *... 8 checking size of int... 4 checking size of long... 8 checking size of long long... 8 checking gsl/gsl_blas.h usability... yes checking gsl/gsl_blas.h presence... yes checking for gsl/gsl_blas.h... yes checking gsl/gsl_eigen.h usability... yes checking gsl/gsl_eigen.h presence... yes checking for gsl/gsl_eigen.h... yes checking for main in -lgslcblas... yes checking for gsl_sf_gamma in -lgsl... yes checking for main in -lgfortran... no checking for main in -lblas... no checking for main in -llapack... no checking pari/pari.h usability... yes checking pari/pari.h presence... yes checking for pari/pari.h... yes checking for main in -lpari... yes checking NTL/ZZ.h usability... yes checking NTL/ZZ.h presence... yes checking for NTL/ZZ.h... yes checking for main in -lntl... yes checking gmpxx.h usability... yes checking gmpxx.h presence... yes checking for gmpxx.h... yes checking for main in -lgmpxx... yes checking CoCoA/io.H usability... no checking CoCoA/io.H presence... no checking for CoCoA/io.H... no checking ao/ao.h usability... no checking ao/ao.h presence... no checking for ao/ao.h... no checking glpk.h usability... no checking glpk.h presence... no checking for glpk.h... no checking samplerate.h usability... no checking samplerate.h presence... no checking for samplerate.h... no checking curl/curl.h usability... no checking curl/curl.h presence... no checking for curl/curl.h... no checking for tgetent... no checking for tgetent in -lncurses... yes checking readline/readline.h usability... yes checking readline/readline.h presence... yes checking for readline/readline.h... yes checking readline/history.h usability... yes checking readline/history.h presence... yes checking for readline/history.h... yes checking for version of libreadline... yes checking for readline in -lreadline... yes checking for X... libraries , headers checking for gethostbyname... yes checking for connect... yes checking for remove... yes checking for shmat... yes checking for IceConnectionNumber in -lICE... no checking for main in -lGL... yes checking for main in -lX11... yes checking for main in -lXinerama... yes checking for main in -lfontconfig... yes checking for main in -lXft... yes checking for main in -lXext... yes checking for main in -lfltk_gl... yes checking for main in -lfltk... yes checking for main in -lz... yes checking for png.h... (cached) yes checking for main in -lpng... yes checking for main in -ljpeg... yes checking for main in -lfltk_images... yes checking for main in -lcliquer... no checking for main in -lnauty... no checking nauty/naututil.h usability... no checking nauty/naututil.h presence... no checking for nauty/naututil.h... no checking vcl1/vectorclass.h usability... no checking vcl1/vectorclass.h presence... no checking for vcl1/vectorclass.h... no checking for main in -lpthread... yes checking pthread.h usability... yes checking pthread.h presence... yes checking for pthread.h... yes checking malloc.h usability... yes checking malloc.h presence... yes checking for malloc.h... yes checking for sysconf... yes checking for clock_gettime in -lrt... yes checking unordered_map usability... yes checking unordered_map presence... yes checking for unordered_map... yes checking ext/hash_map usability... yes checking ext/hash_map presence... yes checking for ext/hash_map... yes checking tr1/unordered_map usability... yes checking tr1/unordered_map presence... yes checking for tr1/unordered_map... yes checking hash_map usability... yes checking hash_map presence... yes checking for hash_map... yes checking pwd.h usability... yes checking pwd.h presence... yes checking for pwd.h... yes checking locale.h usability... yes checking locale.h presence... yes checking for locale.h... yes checking for unistd.h... (cached) yes checking sys/time.h usability... yes checking sys/time.h presence... yes checking for sys/time.h... yes checking sys/times.h usability... yes checking sys/times.h presence... yes checking for sys/times.h... yes checking sys/resource.h usability... yes checking sys/resource.h presence... yes checking for sys/resource.h... yes checking for sys/types.h... (cached) yes checking signal.h usability... yes checking signal.h presence... yes checking for signal.h... yes checking for getpid... yes checking for getcwd... yes checking for getpwuid... yes checking for system... yes checking whether NLS is requested... yes checking for msgfmt... /usr/bin/msgfmt checking for gmsgfmt... /usr/bin/msgfmt checking for xgettext... /usr/bin/xgettext checking for msgmerge... /usr/bin/msgmerge checking whether we are using the GNU C Library 2 or newer... yes checking for ranlib... (cached) ranlib checking for strerror in -lcposix... no checking for an ANSI C-conforming const... yes checking for signed... yes checking for inline... inline checking for off_t... yes checking for size_t... yes checking for long long... yes checking for long double... yes checking for wchar_t... yes checking for wint_t... yes checking for inttypes.h... yes checking for stdint.h... yes checking for intmax_t... yes checking whether printf() supports POSIX/XSI format strings... yes checking for working alloca.h... yes checking for alloca... yes checking for stdlib.h... (cached) yes checking for unistd.h... (cached) yes checking for sys/param.h... yes checking for getpagesize... yes checking for working mmap... yes checking whether we are using the GNU C Library 2.1 or newer... yes checking whether integer division by zero raises SIGFPE... yes checking for unsigned long long... yes checking for inttypes.h... yes checking whether the inttypes.h PRIxNN macros are broken... no checking for stdint.h... (cached) yes checking for SIZE_MAX... yes checking for stdint.h... (cached) yes checking for CFPreferencesCopyAppValue... no checking for CFLocaleCopyCurrent... no checking for ld used by GCC... /usr/bin/ld -m elf_x86_64 checking if the linker (/usr/bin/ld -m elf_x86_64) is GNU ld... yes checking for shared library run path origin... done checking for ptrdiff_t... yes checking argz.h usability... yes checking argz.h presence... yes checking for argz.h... yes checking limits.h usability... yes checking limits.h presence... yes checking for limits.h... yes checking for locale.h... (cached) yes checking nl_types.h usability... yes checking nl_types.h presence... yes checking for nl_types.h... yes checking for malloc.h... (cached) yes checking stddef.h usability... yes checking stddef.h presence... yes checking for stddef.h... yes checking for stdlib.h... (cached) yes checking for string.h... (cached) yes checking for unistd.h... (cached) yes checking for sys/param.h... (cached) yes checking for asprintf... yes checking for fwprintf... yes checking for getcwd... (cached) yes checking for getegid... yes checking for geteuid... yes checking for getgid... yes checking for getuid... yes checking for mempcpy... yes checking for munmap... yes checking for putenv... yes checking for setenv... yes checking for setlocale... yes checking for snprintf... yes checking for stpcpy... yes checking for strcasecmp... yes checking for strdup... yes checking for strtoul... yes checking for tsearch... yes checking for wcslen... yes checking for __argz_count... yes checking for __argz_stringify... yes checking for __argz_next... yes checking for __fsetlocking... yes checking whether _snprintf is declared... no checking whether _snwprintf is declared... no checking whether feof_unlocked is declared... yes checking whether fgets_unlocked is declared... yes checking whether getc_unlocked is declared... yes checking for iconv... yes checking for iconv declaration... extern size_t iconv (iconv_t cd, char * *inbuf, size_t *inbytesleft, char * *outbuf, size_t *outbytesleft); checking for nl_langinfo and CODESET... yes checking for LC_MESSAGES... yes checking for bison... bison checking version of bison... 3.7.4, ok checking for CFPreferencesCopyAppValue... (cached) no checking for CFLocaleCopyCurrent... (cached) no checking whether NLS is requested... yes checking whether included gettext is requested... no checking for GNU gettext in libc... yes checking whether to use NLS... yes checking where the gettext function comes from... libc checking for main in -lintl... no checking for egrep... (cached) /bin/grep -E checking for latex... /usr/bin/latex checking for makeindex... /usr/bin/makeindex checking for pdflatex... /usr/bin/pdflatex checking for dvips... /usr/bin/dvips checking sstream usability... yes checking sstream presence... yes checking for sstream... yes checking that generated files are newer than configure... done configure: creating ./config.status config.status: creating Makefile config.status: creating src/Makefile config.status: creating check/Makefile config.status: creating doc/Makefile config.status: creating doc/en/Makefile config.status: creating doc/es/Makefile config.status: creating doc/fr/Makefile config.status: creating doc/el/Makefile config.status: creating doc/local/Makefile config.status: creating doc/pt/Makefile config.status: creating doc/zh/Makefile config.status: creating doc/de/Makefile config.status: creating intl/Makefile config.status: WARNING: 'intl/Makefile.in' seems to ignore the --datarootdir setting config.status: creating po/Makefile.in config.status: WARNING: 'po/Makefile.in.in' seems to ignore the --datarootdir setting config.status: creating examples/Makefile config.status: creating micropython-1.12/Makefile config.status: creating micropython-1.12/docs/Makefile config.status: creating micropython-1.12/drivers/Makefile config.status: creating micropython-1.12/examples/Makefile config.status: creating micropython-1.12/extmod/Makefile config.status: creating micropython-1.12/lib/Makefile config.status: creating micropython-1.12/logo/Makefile config.status: creating micropython-1.12/nspire/Makefile config.status: creating micropython-1.12/numworks/Makefile config.status: creating micropython-1.12/ports/Makefile config.status: creating micropython-1.12/py/Makefile config.status: creating micropython-1.12/tests/Makefile config.status: creating micropython-1.12/tools/Makefile config.status: creating micropython-1.12/unix/Makefile config.status: creating config.h config.status: executing depfiles commands config.status: executing libtool commands config.status: executing default-1 commands config.status: creating po/POTFILES config.status: creating po/Makefile Adding link . to giac in src dh_auto_build -i make -j4 make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' make all-recursive make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' Making all in micropython-1.12 make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' Making all in xcas make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12/xcas' Use make V=1 or set BUILD_VERBOSE in your environment to increase build verbosity. mkdir -p build/genhdr mkdir -p build/extmod/ mkdir -p build/lib/embed/ mkdir -p build/lib/utils/ mkdir -p build/py/ GEN build/genhdr/mpversion.h GEN build/genhdr/moduledefs.h GEN build/genhdr/qstr.i.last GEN build/genhdr/qstr.split GEN build/genhdr/qstrdefs.collected.h QSTR updated GEN build/genhdr/qstrdefs.generated.h CC ../py/mpstate.c CC ../py/nlr.c CC ../py/nlrx86.c CC ../py/nlrx64.c CC ../py/nlrthumb.c CC ../py/nlrpowerpc.c CC ../py/nlrxtensa.c CC ../py/nlrsetjmp.c CC ../py/malloc.c CC ../py/gc.c CC ../py/pystack.c CC ../py/qstr.c CC ../py/vstr.c CC ../py/mpprint.c CC ../py/unicode.c CC ../py/mpz.c CC ../py/reader.c CC ../py/lexer.c CC ../py/parse.c CC ../py/scope.c CC ../py/compile.c CC ../py/emitcommon.c CC ../py/emitbc.c CC ../py/asmbase.c CC ../py/asmx64.c CC ../py/emitnx64.c CC ../py/asmx86.c CC ../py/emitnx86.c CC ../py/asmthumb.c CC ../py/emitnthumb.c CC ../py/emitinlinethumb.c CC ../py/asmarm.c CC ../py/emitnarm.c CC ../py/asmxtensa.c CC ../py/emitnxtensa.c CC ../py/emitinlinextensa.c CC ../py/emitnxtensawin.c CC ../py/formatfloat.c CC ../py/parsenumbase.c CC ../py/parsenum.c CC ../py/emitglue.c CC ../py/persistentcode.c CC ../py/runtime.c CC ../py/runtime_utils.c CC ../py/scheduler.c CC ../py/nativeglue.c CC ../py/ringbuf.c CC ../py/stackctrl.c CC ../py/argcheck.c CC ../py/warning.c CC ../py/profile.c CC ../py/map.c CC ../py/obj.c CC ../py/objarray.c CC ../py/objattrtuple.c CC ../py/objbool.c CC ../py/objboundmeth.c CC ../py/objcell.c CC ../py/objclosure.c CC ../py/objcomplex.c CC ../py/objdeque.c CC ../py/objdict.c CC ../py/objenumerate.c CC ../py/objexcept.c CC ../py/objfilter.c CC ../py/objfloat.c CC ../py/objfun.c CC ../py/objgenerator.c CC ../py/objgetitemiter.c CC ../py/objint.c CC ../py/objint_longlong.c CC ../py/objint_mpz.c CC ../py/objlist.c CC ../py/objmap.c CC ../py/objmodule.c CC ../py/objobject.c CC ../py/objpolyiter.c CC ../py/objproperty.c CC ../py/objnone.c CC ../py/objnamedtuple.c CC ../py/objrange.c CC ../py/objreversed.c CC ../py/objset.c CC ../py/objsingleton.c CC ../py/objslice.c CC ../py/objstr.c CC ../py/objstrunicode.c CC ../py/objstringio.c CC ../py/objtuple.c CC ../py/objtype.c CC ../py/objzip.c CC ../py/opmethods.c CC ../py/sequence.c CC ../py/stream.c CC ../py/binary.c CC ../py/builtinimport.c CC ../py/builtinevex.c CC ../py/builtinhelp.c CC ../py/modarray.c CC ../py/modbuiltins.c CC ../py/modcollections.c CC ../py/modgc.c CC ../py/modio.c CC ../py/modmath.c CC ../py/modcmath.c CC ../py/modmicropython.c CC ../py/modstruct.c CC ../py/modsys.c CC ../py/moduerrno.c CC ../py/modthread.c CC ../py/vm.c CC ../py/bc.c CC ../py/showbc.c CC ../py/repl.c CC ../py/smallint.c CC ../py/frozenmod.c CC ../extmod/moductypes.c CC ../extmod/modujson.c CC ../extmod/modure.c CC ../extmod/moduzlib.c CC ../extmod/moduheapq.c CC ../extmod/modutimeq.c CC ../extmod/moduhashlib.c CC ../extmod/moducryptolib.c CC ../extmod/modubinascii.c CC ../extmod/virtpin.c CC ../extmod/machine_mem.c CC ../extmod/machine_pinbase.c CC ../extmod/machine_signal.c CC ../extmod/machine_pulse.c CC ../extmod/machine_i2c.c CC ../extmod/machine_spi.c CC ../extmod/modbluetooth.c CC ../extmod/modussl_axtls.c CC ../extmod/modussl_mbedtls.c CC ../extmod/modurandom.c CC ../extmod/moduselect.c CC ../extmod/moduwebsocket.c CC ../extmod/modwebrepl.c CC ../extmod/modframebuf.c CC ../extmod/vfs.c CC ../extmod/vfs_blockdev.c CC ../extmod/vfs_reader.c CC ../extmod/vfs_posix.c CC ../extmod/vfs_posix_file.c CC ../extmod/vfs_fat.c CC ../extmod/vfs_fat_diskio.c CC ../extmod/vfs_fat_file.c CC ../extmod/vfs_lfs.c CC ../extmod/utime_mphal.c CC ../extmod/uos_dupterm.c CC ../lib/embed/abort_.c CC ../lib/utils/printf.c CC main.c CC modos.c CC modtime.c main.c: In function ‘main_’: main.c:585:15: warning: unused variable ‘NOTHING_EXECUTED’ [-Wunused-variable] 585 | const int NOTHING_EXECUTED = -2; | ^~~~~~~~~~~~~~~~ At top level: main.c:484:13: warning: ‘set_sys_argv’ defined but not used [-Wunused-function] 484 | STATIC void set_sys_argv(char *argv[], int argc, int start_arg) { | ^~~~~~~~~~~~ CC unix_mphal.c CC file.c CC icas.c CC graphic.c CC input.c CC gccollect.c CC nop.c LINK micropython text data bss dec hex filename 583224 50200 264320 897744 db2d0 micropython ar cru libmicropython.a build/py/mpstate.o build/py/nlr.o build/py/nlrx86.o build/py/nlrx64.o build/py/nlrthumb.o build/py/nlrpowerpc.o build/py/nlrxtensa.o build/py/nlrsetjmp.o build/py/malloc.o build/py/gc.o build/py/pystack.o build/py/qstr.o build/py/vstr.o build/py/mpprint.o build/py/unicode.o build/py/mpz.o build/py/reader.o build/py/lexer.o build/py/parse.o build/py/scope.o build/py/compile.o build/py/emitcommon.o build/py/emitbc.o build/py/asmbase.o build/py/asmx64.o build/py/emitnx64.o build/py/asmx86.o build/py/emitnx86.o build/py/asmthumb.o build/py/emitnthumb.o build/py/emitinlinethumb.o build/py/asmarm.o build/py/emitnarm.o build/py/asmxtensa.o build/py/emitnxtensa.o build/py/emitinlinextensa.o build/py/emitnxtensawin.o build/py/formatfloat.o build/py/parsenumbase.o build/py/parsenum.o build/py/emitglue.o build/py/persistentcode.o build/py/runtime.o build/py/runtime_utils.o build/py/scheduler.o build/py/nativeglue.o build/py/ringbuf.o build/py/stackctrl.o build/py/argcheck.o build/py/warning.o build/py/profile.o build/py/map.o build/py/obj.o build/py/objarray.o build/py/objattrtuple.o build/py/objbool.o build/py/objboundmeth.o build/py/objcell.o build/py/objclosure.o build/py/objcomplex.o build/py/objdeque.o build/py/objdict.o build/py/objenumerate.o build/py/objexcept.o build/py/objfilter.o build/py/objfloat.o build/py/objfun.o build/py/objgenerator.o build/py/objgetitemiter.o build/py/objint.o build/py/objint_longlong.o build/py/objint_mpz.o build/py/objlist.o build/py/objmap.o build/py/objmodule.o build/py/objobject.o build/py/objpolyiter.o build/py/objproperty.o build/py/objnone.o build/py/objnamedtuple.o build/py/objrange.o build/py/objreversed.o build/py/objset.o build/py/objsingleton.o build/py/objslice.o build/py/objstr.o build/py/objstrunicode.o build/py/objstringio.o build/py/objtuple.o build/py/objtype.o build/py/objzip.o build/py/opmethods.o build/py/sequence.o build/py/stream.o build/py/binary.o build/py/builtinimport.o build/py/builtinevex.o build/py/builtinhelp.o build/py/modarray.o build/py/modbuiltins.o build/py/modcollections.o build/py/modgc.o build/py/modio.o build/py/modmath.o build/py/modcmath.o build/py/modmicropython.o build/py/modstruct.o build/py/modsys.o build/py/moduerrno.o build/py/modthread.o build/py/vm.o build/py/bc.o build/py/showbc.o build/py/repl.o build/py/smallint.o build/py/frozenmod.o build/extmod/moductypes.o build/extmod/modujson.o build/extmod/modure.o build/extmod/moduzlib.o build/extmod/moduheapq.o build/extmod/modutimeq.o build/extmod/moduhashlib.o build/extmod/moducryptolib.o build/extmod/modubinascii.o build/extmod/virtpin.o build/extmod/machine_mem.o build/extmod/machine_pinbase.o build/extmod/machine_signal.o build/extmod/machine_pulse.o build/extmod/machine_i2c.o build/extmod/machine_spi.o build/extmod/modbluetooth.o build/extmod/modussl_axtls.o build/extmod/modussl_mbedtls.o build/extmod/modurandom.o build/extmod/moduselect.o build/extmod/moduwebsocket.o build/extmod/modwebrepl.o build/extmod/modframebuf.o build/extmod/vfs.o build/extmod/vfs_blockdev.o build/extmod/vfs_reader.o build/extmod/vfs_posix.o build/extmod/vfs_posix_file.o build/extmod/vfs_fat.o build/extmod/vfs_fat_diskio.o build/extmod/vfs_fat_file.o build/extmod/vfs_lfs.o build/extmod/utime_mphal.o build/extmod/uos_dupterm.o build/lib/embed/abort_.o build/lib/utils/printf.o build/./unix_mphal.o build/./modos.o build/./gccollect.o build/./input.o build/./file.o build/./graphic.o build/./main.o build/./nop.o build/modtime.o ar: `u' modifier ignored since `D' is the default (see `U') /bin/cp libmicropython.a ../.. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12/xcas' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' make[4]: Nothing to be done for 'all-am'. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' Making all in src make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' bison -y -p giac_yy -d "input_parser.yy" -o "input_parser.cc" /bin/bash ../config/ylwrap input_lexer.ll lex.yy.c input_lexer.cc -- flex input_parser.yy:28.1-12: warning: POSIX Yacc does not support %pure-parser [-Wyacc] 28 | %pure-parser | ^~~~~~~~~~~~ input_parser.yy:28.1-12: warning: deprecated directive: ‘%pure-parser’, use ‘%define api.pure’ [-Wdeprecated] 28 | %pure-parser | ^~~~~~~~~~~~ | %define api.pure input_parser.yy: warning: 676 shift/reduce conflicts [-Wconflicts-sr] input_parser.yy: note: rerun with option '-Wcounterexamples' to generate conflict counterexamples updating input_lexer.cc updating lexer.h input_parser.yy: warning: fix-its can be applied. Rerun with option '--update'. [-Wother] cp "input_parser.hh" "input_parser.h" make all-am make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o icas.o icas.cc /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o History.lo History.cc /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Input.lo Input.cc /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Xcas1.lo Xcas1.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Input.cc -fPIC -DPIC -o .libs/Input.o libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c History.cc -fPIC -DPIC -o .libs/History.o libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Xcas1.cc -fPIC -DPIC -o .libs/Xcas1.o Input.cc: In member function ‘int xcas::Multiline_Input_tab::in_handle(int)’: Input.cc:1066:101: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 1066 | int ans=fl_ask("%s",((logs+'\n')+gettext("To get a newline, use shift-Enter. Reedit?")).c_str()); | ^ In file included from Input.cc:33: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Input.cc:1078:52: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 1078 | int ans=fl_ask("%s",(logs+"\nReedit?").c_str()); | ^ In file included from Input.cc:33: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Xcas1.cc: In function ‘bool xcas::fltk_view(const giac::gen&, giac::gen&, const string&, std::string&, int, const giac::context*)’: Xcas1.cc:3743:41: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 3743 | int i=fl_ask("Figure modified. Save?"); | ^ In file included from Xcas1.cc:32: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Xcas1.cc:3750:40: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 3750 | int i=fl_ask("Sheet modified. Save?"); | ^ In file included from Xcas1.cc:32: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ History.cc: In member function ‘bool xcas::History_Pack::save_as(const char*)’: History.cc:1769:66: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 1769 | int i=fl_ask("%s",("File "+s+" exists. Overwrite?").c_str()); | ^ In file included from History.cc:33: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ History.cc: In member function ‘bool xcas::History_Pack::insert_before(int, bool, int)’: History.cc:2046:60: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 2046 | int i=fl_ask("%s",gettext("Set compatibility mode to TI?")); | ^ In file included from History.cc:33: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ History.cc:2082:84: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 2082 | int i=fl_ask("%s",(gettext("File ")+xcasws+gettext(" exists. Overwrite?")).c_str()); | ^ In file included from History.cc:33: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ History.cc: In member function ‘bool xcas::History_Pack::save_as(const char*)’: History.cc:1763:12: warning: ignoring return value of ‘int chdir(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 1763 | chdir(sn.c_str()); | ~~~~~^~~~~~~~~~~~ History.cc: In member function ‘bool xcas::History_Pack::insert_url(const char*, int)’: History.cc:2112:12: warning: ignoring return value of ‘int chdir(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 2112 | chdir(sn.c_str()); | ~~~~~^~~~~~~~~~~~ /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Equation.lo Equation.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Equation.cc -fPIC -DPIC -o .libs/Equation.o libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Input.cc -o Input.o >/dev/null 2>&1 libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c History.cc -o History.o >/dev/null 2>&1 libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Xcas1.cc -o Xcas1.o >/dev/null 2>&1 /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Print.lo Print.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Print.cc -fPIC -DPIC -o .libs/Print.o libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Print.cc -o Print.o >/dev/null 2>&1 libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Equation.cc -o Equation.o >/dev/null 2>&1 /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Tableur.lo Tableur.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Tableur.cc -fPIC -DPIC -o .libs/Tableur.o /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Editeur.lo Editeur.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Editeur.cc -fPIC -DPIC -o .libs/Editeur.o Tableur.cc: In function ‘bool xcas::get_filename(std::string&, const string&)’: Tableur.cc:1283:75: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 1283 | int i=fl_ask("%s",(tmp+gettext(": file exists. Overwrite?")).c_str()); | ^ In file included from /usr/include/FL/fl_message.H:19, from Tableur.h:38, from Tableur.cc:28: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Tableur.cc: In function ‘void xcas::cb_Tableur_SetRows(Fl_Menu_*, void*)’: Tableur.cc:2467:50: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 2467 | int j=fl_ask("%s",gettext("Really delete rows?")); | ^ In file included from /usr/include/FL/fl_message.H:19, from Tableur.h:38, from Tableur.cc:28: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Tableur.cc: In function ‘void xcas::cb_Tableur_SetCols(Fl_Menu_*, void*)’: Tableur.cc:2483:53: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 2483 | int j=fl_ask("%s",gettext("Really delete columns?")); | ^ In file included from /usr/include/FL/fl_message.H:19, from Tableur.h:38, from Tableur.cc:28: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Tableur.cc: In function ‘void xcas::sheetsort(xcas::Flv_Table_Gen*, bool, bool)’: Tableur.cc:2667:20: warning: too many arguments for format [-Wformat-extra-args] 2667 | int i=fl_ask("%s",gettext("Sorting is not compatible with some cell references. Sort anyway"),gettext("Yes"),gettext("No")); | ^~~~ Tableur.cc:2667:129: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 2667 | int i=fl_ask("%s",gettext("Sorting is not compatible with some cell references. Sort anyway"),gettext("Yes"),gettext("No")); | ^ In file included from /usr/include/FL/fl_message.H:19, from Tableur.h:38, from Tableur.cc:28: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Tableur.cc: In function ‘bool xcas::csv_guess(const string&, char&, char&, char&)’: Tableur.cc:1092:10: warning: ignoring return value of ‘size_t fread(void*, size_t, size_t, FILE*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 1092 | fread(data,size,count,f); | ~~~~~^~~~~~~~~~~~~~~~~~~ Editeur.cc: In function ‘void xcas::cb_Editeur_Load(Fl_Widget*, void*)’: Editeur.cc:502:43: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 502 | int i=fl_ask("%s","Buffer changed. Save?"); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Editeur.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Editeur.cc: In function ‘void xcas::editeur_export(Fl_Text_Editor*, const string&, int)’: Editeur.cc:613:59: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 613 | int i=fl_ask("%s",gettext("File exists. Overwrite?")); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Editeur.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Editeur.cc: In function ‘void xcas::cb_Editeur_Save_as(Fl_Widget*, void*)’: Editeur.cc:765:70: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 765 | int i=fl_ask("%s",(tmp+gettext(": file exists. Overwrite?")).c_str()); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Editeur.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Editeur.cc: In function ‘void xcas::cb_Editeur_Next(Fl_Widget*, void*)’: Editeur.cc:1378:11: warning: too many arguments for format [-Wformat-extra-args] 1378 | fl_alert("%s","No more occurrences of '%s' found!", e->search.c_str()); | ^~~~ Editeur.cc: In function ‘void xcas::cb_Editeur_Search(Fl_Widget*, void*)’: Editeur.cc:1543:50: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 1543 | i=fl_ask("%s","Really replace by nothing?"); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Editeur.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Editeur.cc:1596:17: warning: too many arguments for format [-Wformat-extra-args] 1596 | fl_alert("%s","No occurrences of '%s' found!", e->search.c_str()); | ^~~~ /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Graph.lo Graph.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Graph.cc -fPIC -DPIC -o .libs/Graph.o libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Tableur.cc -o Tableur.o >/dev/null 2>&1 libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Editeur.cc -o Editeur.o >/dev/null 2>&1 Graph.cc: In function ‘const char* xcas::latexfilename(const char*)’: Graph.cc:2478:66: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 2478 | int i=fl_ask("%s",("File "+s+" exists. Overwrite?").c_str()); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Graph.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Graph.cc: In function ‘int xcas::chooseinvecteur(const vecteur&)’: Graph.cc:2687:24: warning: too many arguments for format [-Wformat-extra-args] 2687 | return fl_choice("Choose",v[0].print(giac::context0).c_str(),v[1].print(giac::context0).c_str(),v[2].print(giac::context0).c_str(),v[3].print(giac::context0).c_str()); | ^~~~~~~~ Graph.cc:2688:22: warning: too many arguments for format [-Wformat-extra-args] 2688 | return fl_choice("Choose",v[0].print(giac::context0).c_str(),v[1].print(giac::context0).c_str(),v[2].print(giac::context0).c_str(),v[3].print(giac::context0).c_str(),v[4].print(giac::context0).c_str()); | ^~~~~~~~ Graph.cc: In function ‘void xcas::cb_set_mode(Fl_Widget*, const giac::gen&, const giac::gen&, int, const string&)’: Graph.cc:4225:88: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 4225 | int i=fl_ask("%s","Dynamic geometry works faster in approx mode. Drag in approx mode?"); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Graph.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ Graph.cc: In member function ‘void xcas::Figure::save_figure_as(const string&)’: Graph.cc:5837:68: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 5837 | int i=fl_ask("%s",(s+gettext(": file exists. Overwrite?")).c_str()); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Graph.cc:2: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o Graph3d.lo Graph3d.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c Graph3d.cc -fPIC -DPIC -o .libs/Graph3d.o In file included from giacPCH.h:32, from Graph3d.h:10, from Graph3d.cc:2: Graph3d.cc: In member function ‘void xcas::Graph3d::indraw(const giac::gen&)’: gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](0))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:884:29: note: in expansion of macro ‘_DOUBLE_val’ 884 | GLfloat tab[4]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val,w[3]._DOUBLE_val}; | ^~~~~~~~~~~ gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](1))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:884:46: note: in expansion of macro ‘_DOUBLE_val’ 884 | GLfloat tab[4]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val,w[3]._DOUBLE_val}; | ^~~~~~~~~~~ gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](2))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:884:63: note: in expansion of macro ‘_DOUBLE_val’ 884 | GLfloat tab[4]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val,w[3]._DOUBLE_val}; | ^~~~~~~~~~~ gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](3))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:884:80: note: in expansion of macro ‘_DOUBLE_val’ 884 | GLfloat tab[4]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val,w[3]._DOUBLE_val}; | ^~~~~~~~~~~ gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](0))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:890:29: note: in expansion of macro ‘_DOUBLE_val’ 890 | GLfloat tab[3]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val}; | ^~~~~~~~~~~ gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](1))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:890:46: note: in expansion of macro ‘_DOUBLE_val’ 890 | GLfloat tab[3]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val}; | ^~~~~~~~~~~ gen.h:1591:31: warning: narrowing conversion of ‘(&(& w)->giac::dbgprint_vector::.std::imvector::operator[](2))->giac::gen::DOUBLE_val()’ from ‘double’ to ‘GLfloat’ {aka ‘float’} [-Wnarrowing] 1591 | #define _DOUBLE_val DOUBLE_val() Graph3d.cc:890:63: note: in expansion of macro ‘_DOUBLE_val’ 890 | GLfloat tab[3]={w[0]._DOUBLE_val,w[1]._DOUBLE_val,w[2]._DOUBLE_val}; | ^~~~~~~~~~~ /bin/bash ../libtool --tag=CXX --mode=compile g++ 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.libs/plot3d.o plot.cc: In function ‘giac::gen giac::unarchive_session(const string&, int, const giac::gen&, const giac::context*)’: plot.cc:11751:10: warning: ignoring return value of ‘size_t fread(void*, size_t, size_t, FILE*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 11751 | fread(buf,sizeof(char),12,f); | ~~~~~^~~~~~~~~~~~~~~~~~~~~~~ plot.cc:11754:12: warning: ignoring return value of ‘size_t fread(void*, size_t, size_t, FILE*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 11754 | fread(buf,sizeof(char),1,f); // FIXME 2 for windows? | ~~~~~^~~~~~~~~~~~~~~~~~~~~~ plot.cc: In function ‘giac::gen giac::_unarchive(const giac::gen&, const giac::context*)’: plot.cc:11838:10: warning: ignoring return value of ‘size_t fread(void*, size_t, size_t, FILE*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 11838 | fread(buf,sizeof(char),4,f); | ~~~~~^~~~~~~~~~~~~~~~~~~~~~ /bin/bash ../libtool --tag=CXX --mode=compile g++ -DHAVE_CONFIG_H -I. 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-fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o cocoa.lo cocoa.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c cocoa.cc -fPIC -DPIC -o .libs/cocoa.o pari.cc: In function ‘giac::gen giac::in_pari(const giac::gen&, const giac::context*)’: pari.cc:779:19: warning: cast to pointer from integer of different size [-Wint-to-pointer-cast] 779 | argvec[k]= (GEN) v[j].val; | ^~~~~~~~~~~~~~ pari.cc:797:19: warning: cast to pointer from integer of different size [-Wint-to-pointer-cast] 797 | argvec[k]=(long int*)(pos -1); | ^~~~~~~~~~~~~~~~~~~ pari.cc:805:17: warning: cast to pointer from integer of different size 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-fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o xcas.o xcas.cc libtool: compile: g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c markup.cc -o markup.o >/dev/null 2>&1 In file included from xcas.cc:3: hist.cxx: In function ‘void cb_Insert_Example(Fl_Widget*, void*)’: hist.cxx:664:85: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 664 | i=fl_ask("%s",("File "+std::string(m->text())+" exists. Overwrite?").c_str()); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Xcas1.h:23, from hist.h:7, from hist.cxx:4, from xcas.cc:3: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ In file included from xcas.cc:3: hist.cxx: In function ‘void load_autorecover_data()’: hist.cxx:852:60: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 852 | n=fl_ask("%s",gettext("Launch tutorial in browser?")); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Xcas1.h:23, from hist.h:7, from hist.cxx:4, from xcas.cc:3: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ In file included from xcas.cc:3: hist.cxx:873:22: warning: too many arguments for format [-Wformat-extra-args] 873 | int i=fl_ask("%s",gettext("Auto-recovery files found. Load ?"),gettext("Yes"),gettext("No")); | ^~~~ hist.cxx:873:100: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 873 | int i=fl_ask("%s",gettext("Auto-recovery files found. Load ?"),gettext("Yes"),gettext("No")); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Xcas1.h:23, from hist.h:7, from hist.cxx:4, from xcas.cc:3: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ In file included from xcas.cc:3: hist.cxx: In function ‘void cb_Xcas_help_load(Fl_Menu_*, void*)’: hist.cxx:1774:173: warning: ‘int fl_ask(const char*, ...)’ is deprecated [-Wdeprecated-declarations] 1774 | i=fl_ask("%s",("Check that you can write over "+path+",\ncheck that your Internet connection is ready\nand check that wget, tar and gzip are installed.\nProceed?").c_str()); | ^ In file included from /usr/include/FL/fl_message.H:19, from Editeur.h:42, from Graph.h:37, from Xcas1.h:23, from hist.h:7, from hist.cxx:4, from xcas.cc:3: /usr/include/FL/fl_ask.H:55:15: note: declared here 55 | FL_EXPORT int fl_ask(const char *,...) __fl_attr((__format__ (__printf__, 1, 2), __deprecated__)); | ^~~~~~ In file included from xcas.cc:3: hist.cxx:1777:11: warning: ignoring return value of ‘int system(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 1777 | system(("mkdir /tmp ; cd /tmp && wget http://www-fourier.univ-grenoble-alpes.fr/~parisse/giac/giacshare.tgz && cd "+path+" && tar xvfz /tmp/giacshare.tgz").c_str()); | ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ hist.cxx: In function ‘void cb_Xcas_CloneOffline(Fl_Menu_*, void*)’: hist.cxx:1040:146: warning: ignoring return value of ‘int system(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 1040 | std::string html5=giac::browser_command("doc/xcasfr.html#"+xcas::widget_html5(Xcas_current_session())); std::cout << html5 << std::endl; system(html5.c_str()); | ~~~~~~^~~~~~~~~~~~~~~ hist.cxx: In function ‘int main(int, char**)’: hist.cxx:5599:13: warning: ignoring return value of ‘int system(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 5599 | system("xterm -e 'sudo apt-get update ; sudo apt-get install giac'"); | ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ hist.cxx:5602:13: warning: ignoring return value of ‘int system(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 5602 | system("xterm -e 'rm -f giac64.rpm && wget http://www-fourier.univ-grenoble-alpes.fr/~parisse/giac/giac64.rpm && sudo rpm -e giac && sudo rpm -U gia64c.rpm'"); | ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ hist.cxx:5609:13: warning: ignoring return value of ‘int system(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 5609 | system("cd /tmp && wget http://www-fourier.univ-grenoble-alpes.fr/~parisse/giac/xcas.tgz && cd /usr/local && xterm -e 'sudo tar xvfz tmp/xcas.tgz' &"); | ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o aide.o aide.cc g++ -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -c -o hevea2mml.o hevea2mml.cc hevea2mml.cc: In function ‘int main(int, char**)’: hevea2mml.cc:388:13: warning: ignoring return value of ‘int system(const char*)’ declared with attribute ‘warn_unused_result’ [-Wunused-result] 388 | system(cmd.c_str()); | ~~~~~~^~~~~~~~~~~~~ gcc -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -c -o lex_yy.o lex_yy.c gcc -DHAVE_CONFIG_H -I. -I.. -DIN_GIAC -I. -I.. -I. -I.. -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -c -o y_tab.o y_tab.c /bin/bash ../libtool --tag=CXX --mode=link g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z,relro -L. -L.. -lmicropython -o hevea2mml hevea2mml.o lex_yy.o y_tab.o -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp libtool: link: g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z -Wl,relro -o hevea2mml hevea2mml.o lex_yy.o y_tab.o -L. -L.. -lmicropython -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp /bin/bash ../libtool --tag=CXX --mode=link g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z,relro -L. -L.. -lmicropython -o libgiac.la -rpath /usr/lib/x86_64-linux-gnu input_lexer.lo sym2poly.lo gausspol.lo threaded.lo moyal.lo maple.lo ti89.lo mathml.lo misc.lo permu.lo quater.lo desolve.lo input_parser.lo symbolic.lo index.lo modpoly.lo modfactor.lo ezgcd.lo derive.lo solve.lo intg.lo intgab.lo risch.lo lin.lo series.lo subst.lo vecteur.lo sparse.lo csturm.lo tex.lo global.lo ifactor.lo alg_ext.lo gauss.lo isom.lo plot.lo plot3d.lo rpn.lo prog.lo pari.lo cocoa.lo unary.lo usual.lo identificateur.lo gen.lo tinymt32.lo first.lo TmpLESystemSolver.lo TmpFGLM.lo help.lo lpsolve.lo optimization.lo signalprocessing.lo graphe.lo graphtheory.lo nautywrapper.lo markup.lo kdisplay.lo kadd.lo -lntl -lpari -lgsl -lgslcblas -lgl2ps -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp libtool: link: g++ -fPIC -DPIC -shared -nostdlib /usr/lib/gcc/x86_64-linux-gnu/10/../../../x86_64-linux-gnu/crti.o /usr/lib/gcc/x86_64-linux-gnu/10/crtbeginS.o .libs/input_lexer.o .libs/sym2poly.o .libs/gausspol.o .libs/threaded.o .libs/moyal.o .libs/maple.o .libs/ti89.o .libs/mathml.o .libs/misc.o .libs/permu.o .libs/quater.o .libs/desolve.o .libs/input_parser.o .libs/symbolic.o .libs/index.o .libs/modpoly.o .libs/modfactor.o .libs/ezgcd.o .libs/derive.o .libs/solve.o .libs/intg.o .libs/intgab.o .libs/risch.o .libs/lin.o .libs/series.o .libs/subst.o .libs/vecteur.o .libs/sparse.o .libs/csturm.o .libs/tex.o .libs/global.o .libs/ifactor.o .libs/alg_ext.o .libs/gauss.o .libs/isom.o .libs/plot.o .libs/plot3d.o .libs/rpn.o .libs/prog.o .libs/pari.o .libs/cocoa.o .libs/unary.o .libs/usual.o .libs/identificateur.o .libs/gen.o .libs/tinymt32.o .libs/first.o .libs/TmpLESystemSolver.o .libs/TmpFGLM.o .libs/help.o .libs/lpsolve.o .libs/optimization.o .libs/signalprocessing.o .libs/graphe.o .libs/graphtheory.o .libs/nautywrapper.o .libs/markup.o .libs/kdisplay.o .libs/kadd.o -L. -L.. -lmicropython -lntl -lpari -lgsl -lgslcblas -lgl2ps -lrt -lpthread -ldl -lpng16 -lmpfi -lmpfr -lgmp -L/usr/lib/gcc/x86_64-linux-gnu/10 -L/usr/lib/gcc/x86_64-linux-gnu/10/../../../x86_64-linux-gnu -L/usr/lib/gcc/x86_64-linux-gnu/10/../../../../lib -L/lib/x86_64-linux-gnu -L/lib/../lib -L/usr/lib/x86_64-linux-gnu -L/usr/lib/../lib -L/usr/lib/gcc/x86_64-linux-gnu/10/../../.. -lstdc++ -lm -lc -lgcc_s /usr/lib/gcc/x86_64-linux-gnu/10/crtendS.o /usr/lib/gcc/x86_64-linux-gnu/10/../../../x86_64-linux-gnu/crtn.o -g -O2 -fstack-protector-strong -Wl,-z -Wl,relro -Wl,-soname -Wl,libgiac.so.0 -o .libs/libgiac.so.0.0.0 libtool: link: (cd ".libs" && rm -f "libgiac.so.0" && ln -s "libgiac.so.0.0.0" "libgiac.so.0") libtool: link: (cd ".libs" && rm -f "libgiac.so" && ln -s "libgiac.so.0.0.0" "libgiac.so") libtool: link: ar cr .libs/libgiac.a input_lexer.o sym2poly.o gausspol.o threaded.o moyal.o maple.o ti89.o mathml.o misc.o permu.o quater.o desolve.o input_parser.o symbolic.o index.o modpoly.o modfactor.o ezgcd.o derive.o solve.o intg.o intgab.o risch.o lin.o series.o subst.o vecteur.o sparse.o csturm.o tex.o global.o ifactor.o alg_ext.o gauss.o isom.o plot.o plot3d.o rpn.o prog.o pari.o cocoa.o unary.o usual.o identificateur.o gen.o tinymt32.o first.o TmpLESystemSolver.o TmpFGLM.o help.o lpsolve.o optimization.o signalprocessing.o graphe.o graphtheory.o nautywrapper.o markup.o kdisplay.o kadd.o libtool: link: ranlib .libs/libgiac.a libtool: link: ( cd ".libs" && rm -f "libgiac.la" && ln -s "../libgiac.la" "libgiac.la" ) /bin/bash ../libtool --tag=CXX --mode=link g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z,relro -L. -L.. -lmicropython -o libxcas.la History.lo Input.lo Xcas1.lo Equation.lo Print.lo Tableur.lo Editeur.lo Graph.lo Graph3d.lo Help1.lo Cfg.lo Flv_CStyle.lo Flve_Check_Button.lo Flve_Input.lo Flv_Style.lo Flv_Data_Source.lo Flve_Combo.lo Flv_List.lo Flv_Table.lo Python.lo libgiac.la -lfltk_images -ljpeg -lpng -lz -lfltk -lfltk_gl -lXext -lXft -lfontconfig -lXinerama -lX11 -lGL -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp /bin/bash ../libtool --tag=CXX --mode=link g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z,relro -L. -L.. -lmicropython -o aide aide.o libgiac.la -lreadline -lncurses -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp -lgsl -lgslcblas -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp libtool: link: g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z -Wl,relro -o .libs/aide aide.o -L. -L.. -lmicropython ./.libs/libgiac.so -lreadline -lncurses -lgsl -lgslcblas -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp libtool: link: ar cr .libs/libxcas.a .libs/History.o .libs/Input.o .libs/Xcas1.o .libs/Equation.o .libs/Print.o .libs/Tableur.o .libs/Editeur.o .libs/Graph.o .libs/Graph3d.o .libs/Help1.o .libs/Cfg.o .libs/Flv_CStyle.o .libs/Flve_Check_Button.o .libs/Flve_Input.o .libs/Flv_Style.o .libs/Flv_Data_Source.o .libs/Flve_Combo.o .libs/Flv_List.o .libs/Flv_Table.o .libs/Python.o libtool: link: ranlib .libs/libxcas.a libtool: link: ( cd ".libs" && rm -f "libxcas.la" && ln -s "../libxcas.la" "libxcas.la" ) /bin/bash ../libtool --tag=CXX --mode=link g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z,relro -L. -L.. -lmicropython -o icas icas.o libxcas.la -lreadline -lncurses -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp -lgsl -lgslcblas -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp /bin/bash ../libtool --tag=CXX --mode=link g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z,relro -L. -L.. -lmicropython -o xcas xcas.o libxcas.la -lgsl -lgslcblas -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp libtool: link: g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z -Wl,relro -o .libs/xcas xcas.o -L. -L.. ./.libs/libxcas.a /build/giac-ssilxB/giac-1.6.0.41+dfsg1/src/.libs/libgiac.so -lmicropython -lntl -lpari -lgl2ps -lfltk_images -ljpeg -lpng -lz -lfltk -lfltk_gl -lXext -lXft -lfontconfig -lXinerama -lX11 -lGL -lgsl -lgslcblas -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp libtool: link: g++ -g -O2 -fdebug-prefix-map=/build/giac-ssilxB/giac-1.6.0.41+dfsg1=. -fstack-protector-strong -Wformat -Werror=format-security -fno-strict-aliasing -DGIAC_GENERIC_CONSTANTS -DHAVE_LIBMICROPYTHON -fpermissive -Wl,-z -Wl,relro -o .libs/icas icas.o -L. -L.. ./.libs/libxcas.a /build/giac-ssilxB/giac-1.6.0.41+dfsg1/src/.libs/libgiac.so -lmicropython -lntl -lpari -lgl2ps -lfltk_images -ljpeg -lpng -lz -lfltk -lfltk_gl -lXext -lXft -lfontconfig -lXinerama -lX11 -lGL -lreadline -lncurses -lgsl -lgslcblas -lrt -lpthread -ldl -lpng16 -lm -lmpfi -lmpfr -lgmp /usr/bin/ld: icas.o: in function `texmacs_graph_output(giac::gen const&, giac::gen&, std::__cxx11::basic_string, std::allocator >&, int, giac::context const*)': ./src/icas.cc:259: warning: the use of `tmpnam' is dangerous, better use `mkstemp' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' Making all in check make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/check' make[3]: Nothing to be done for 'all'. make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/check' Making all in intl make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/intl' make[3]: Nothing to be done for 'all'. make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/intl' Making all in po make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' make giac.pot-update make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' sed -e '/^#/d' remove-potcdate.sin > t-remove-potcdate.sed mv t-remove-potcdate.sed remove-potcdate.sed if test -n '' || test '' = '@'PACKAGE_BUGREPORT'@'; then \ msgid_bugs_address=''; \ else \ msgid_bugs_address=''; \ fi; \ /usr/bin/xgettext --default-domain=giac --directory=.. \ --add-comments=TRANSLATORS: --keyword=_ --keyword=N_ --from-code=UTF-8 \ --files-from=./POTFILES.in \ --copyright-holder='Bernard Parisse' \ --msgid-bugs-address="$msgid_bugs_address" /usr/bin/xgettext: warning: The option --msgid-bugs-address was not specified. If you are using a 'Makevars' file, please specify the MSGID_BUGS_ADDRESS variable there; otherwise please specify an --msgid-bugs-address command line option. /usr/bin/xgettext: warning: file 'src/hist.menus' extension 'menus' is unknown; will try C src/ifactor.cc:3767: warning: internationalized messages should not contain the '\f' escape sequence test ! -f giac.po || { \ if test -f ./giac.pot; then \ sed -f remove-potcdate.sed < ./giac.pot > giac.1po && \ sed -f remove-potcdate.sed < giac.po > giac.2po && \ if cmp giac.1po giac.2po >/dev/null 2>&1; then \ rm -f giac.1po giac.2po giac.po; \ else \ rm -f giac.1po giac.2po ./giac.pot && \ mv giac.po ./giac.pot; \ fi; \ else \ mv giac.po ./giac.pot; \ fi; \ } make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' test ! -f ./giac.pot || \ test -z "es.gmo fr.gmo el.gmo pt.gmo it.gmo en.gmo zh.gmo de.gmo" || make es.gmo fr.gmo el.gmo pt.gmo it.gmo en.gmo zh.gmo de.gmo make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' /usr/bin/msgmerge --update el.po giac.pot /usr/bin/msgmerge --update es.po giac.pot /usr/bin/msgmerge --update pt.po giac.pot /usr/bin/msgmerge --update fr.po giac.pot .................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... done. pt.po:2551: warning: internationalized messages should not contain the '\f' escape sequence pt.po:2551: warning: internationalized messages should not contain the '\f' escape sequence done. ...............................................................................................................................................................................................................................................................es.po:2566: warning: internationalized messages should not contain the '\f' escape sequence es.po:2566: ....warning: internationalized messages should not contain the '\f' escape sequence ./usr/bin/msgmerge --update it.po giac.pot done. .................................................................................................................................................................................................................................................................................................................................................................... done. el.po:2418: warning: internationalized messages should not contain the '\f' escape sequence fr.po:2554: warning: internationalized messages should not contain the '\f' escape sequence fr.po:2554: warning: internationalized messages should not contain the '\f' escape sequence /usr/bin/msgmerge --update en.po giac.pot ....................................................................................................................................................................................................................................................................../usr/bin/msgmerge --update zh.po giac.pot ......./usr/bin/msgmerge --update de.po giac.pot done. ...............................................................................................................................................................................................................................................it.po:2398: warning: internationalized messages should not contain the '\f' escape sequence .....................rm -f es.gmo && /usr/bin/msgfmt -c --statistics -o es.gmo es.po ......................................................................................................................................................................................................................................... done. done. .....................................................................................................................................................................................................................................................................en.po:2504: warning: internationalized messages should not contain the '\f' escape sequence done. zh.po:2460: warning: internationalized messages should not contain the '\f' escape sequence zh.po:2460: warning: internationalized messages should not contain the '\f' escape sequence /usr/bin/msgfmt: es.po: warning: PO file header fuzzy warning: older versions of msgfmt will give an error on this es.po:8: warning: header field 'Project-Id-Version' still has the initial default value es.po:8: warning: header field 'PO-Revision-Date' still has the initial default value es.po:8: warning: header field 'Last-Translator' still has the initial default value es.po:8: warning: header field 'Language-Team' still has the initial default value es.po:8: warning: header field 'Language' still has the initial default value 1040 translated messages, 566 fuzzy translations, 717 untranslated messages. de.po:2562: warning: internationalized messages should not contain the '\f' escape sequence de.po:2562: warning: internationalized messages should not contain the '\f' escape sequence rm -f fr.gmo && /usr/bin/msgfmt -c --statistics -o fr.gmo fr.po rm -f pt.gmo && /usr/bin/msgfmt -c --statistics -o pt.gmo pt.po rm -f el.gmo && /usr/bin/msgfmt -c --statistics -o el.gmo el.po /usr/bin/msgfmt: fr.po: warning: PO file header fuzzy warning: older versions of msgfmt will give an error on this fr.po:7: warning: header field 'Project-Id-Version' still has the initial default value fr.po:7: warning: header field 'Last-Translator' still has the initial default value fr.po:7: warning: header field 'Language-Team' still has the initial default value fr.po:7: warning: header field 'Language' still has the initial default value 2189 translated messages, 29 fuzzy translations, 105 untranslated messages. rm -f it.gmo && /usr/bin/msgfmt -c --statistics -o it.gmo it.po /usr/bin/msgfmt: pt.po: warning: PO file header fuzzy warning: older versions of msgfmt will give an error on this pt.po:8: warning: header field 'Project-Id-Version' still has the initial default value pt.po:8: warning: header field 'PO-Revision-Date' still has the initial default value pt.po:8: warning: header field 'Last-Translator' still has the initial default value pt.po:8: warning: header field 'Language-Team' still has the initial default value pt.po:8: warning: header field 'Language' still has the initial default value 934 translated messages, 224 fuzzy translations, 1165 untranslated messages. el.po:6: warning: header field 'Project-Id-Version' still has the initial default value el.po:6: warning: header field 'Language-Team' still has the initial default value el.po:6: warning: header field 'Language' still has the initial default value 1157 translated messages, 130 fuzzy translations, 1036 untranslated messages. rm -f en.gmo && /usr/bin/msgfmt -c --statistics -o en.gmo en.po rm -f zh.gmo && /usr/bin/msgfmt -c --statistics -o zh.gmo zh.po rm -f de.gmo && /usr/bin/msgfmt -c --statistics -o de.gmo de.po /usr/bin/msgfmt: it.po: warning: PO file header fuzzy warning: older versions of msgfmt will give an error on this it.po:7: warning: header field 'Project-Id-Version' still has the initial default value it.po:7: warning: header field 'Last-Translator' still has the initial default value it.po:7: warning: header field 'Language-Team' still has the initial default value it.po:7: warning: header field 'Content-Transfer-Encoding' still has the initial default value it.po:7: warning: header field 'Language' still has the initial default value 0 translated messages, 2323 untranslated messages. /usr/bin/msgfmt: zh.po: warning: PO file header fuzzy warning: older versions of msgfmt will give an error on this zh.po:8: warning: header field 'Project-Id-Version' still has the initial default value zh.po:8: warning: header field 'PO-Revision-Date' still has the initial default value zh.po:8: warning: header field 'Last-Translator' still has the initial default value zh.po:8: warning: header field 'Language-Team' still has the initial default value zh.po:8: warning: header field 'Language' still has the initial default value 934 translated messages, 224 fuzzy translations, 1165 untranslated messages. en.po:7: warning: header field 'Language' still has the initial default value 1080 translated messages, 392 fuzzy translations, 851 untranslated messages. /usr/bin/msgfmt: de.po: warning: PO file header fuzzy warning: older versions of msgfmt will give an error on this de.po:7: warning: header field 'Project-Id-Version' still has the initial default value de.po:7: warning: header field 'PO-Revision-Date' still has the initial default value de.po:7: warning: header field 'Last-Translator' still has the initial default value de.po:7: warning: header field 'Language-Team' still has the initial default value de.po:7: warning: header field 'Language' still has the initial default value 1091 translated messages, 220 fuzzy translations, 1012 untranslated messages. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' touch stamp-po make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' Making all in doc make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' Making all in en make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/en' restore=: && backupdir=".am$$" && \ am__cwd=`pwd` && CDPATH="${ZSH_VERSION+.}:" && cd . && \ rm -rf $backupdir && mkdir $backupdir && \ if (/bin/bash '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/missing' makeinfo --version) >/dev/null 2>&1; then \ for f in giac_us.info giac_us.info-[0-9] giac_us.info-[0-9][0-9] giac_us.i[0-9] giac_us.i[0-9][0-9]; do \ if test -f $f; then mv $f $backupdir; restore=mv; else :; fi; \ done; \ else :; fi && \ cd "$am__cwd"; \ if /bin/bash '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/missing' makeinfo -I . \ -o giac_us.info giac_us.texinfo; \ then \ rc=0; \ CDPATH="${ZSH_VERSION+.}:" && cd .; \ else \ rc=$?; \ CDPATH="${ZSH_VERSION+.}:" && cd . && \ $restore $backupdir/* `echo "./giac_us.info" | sed 's|[^/]*$||'`; \ fi; \ rm -rf $backupdir; exit $rc TEXINPUTS=.:$TEXINPUTS hevea -fix casinter.tex TEXINPUTS=.:$TEXINPUTS hevea -fix cascmd_en.tex TEXINPUTS=.:$TEXINPUTS hevea -fix tutoriel.tex ./cascmd_en.tex:4: Warning: Command not found: \textheight ./casinter.tex:4: Warning: Command not found: \textheight Exclude comment 'comment' 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./cascmd_en.tex:1221: Warning: Undefined label: 'ssec:conffile' ./casinter.tex:665: Warning: framebox ./casinter.tex:665: Warning: framebox HeVeA Warning: Label(s) may have changed. Rerun me to get cross-references right. Run, run, again... ./casinter.tex:4: Warning: Command not found: \textheight ./cascmd_en.tex:1542: Warning: Undefined label: 'ssec:confgraph' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' ./casinter.tex:134: Warning: framebox ./casinter.tex:210: Warning: framebox ./cascmd_en.tex:2332: Warning: Undefined label: 'sec:seq' ./casinter.tex:665: Warning: framebox ./casinter.tex:665: Warning: framebox Fixpoint reached in 2 step(s) tdir=`echo casinter.tex | sed -e 's/\.tex//'`; \ /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d $tdir ; \ hacha $tdir.html -o $tdir/index.html ; \ touch $tdir.png ; \ /bin/cp -f $tdir*.png $tdir touch casinter.stamp TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cascmd_en.tex This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. ./cascmd_en.tex:3475: Warning: Undefined label: 'sec:gcd' ./cascmd_en.tex:3526: Warning: Undefined label: 'sec:gcd' ./cascmd_en.tex:3549: Warning: Undefined label: 'sec:lcm' ./cascmd_en.tex:3692: Warning: Undefined label: 'sec:modulaire' entering extended mode (./cascmd_en.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls Document Class: book 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty./cascmd_en.tex:4121: Warning: Undefined label: 'ssec:rand' (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg) (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvipdfmx.def))) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/bmpsize.sty (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)./cascmd_en.tex:4233: Warning: \displaystyle ignored ./cascmd_en.tex:4235: Warning: Undefined label: 'sec:propfrac' (/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty./cascmd_en.tex:4248: Warning: Undefined label: 'sec:numer' ./cascmd_en.tex:4256: Warning: Undefined label: 'sec:getnum' (/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty)./cascmd_en.tex:4268: Warning: Undefined label: 'sec:denom' ./cascmd_en.tex:4276: Warning: Undefined label: 'sec:getdenom' ./cascmd_en.tex:4287: Warning: Undefined label: 'sec:fxnd' ./cascmd_en.tex:4295: Warning: Undefined label: 'sec:simp2' ./cascmd_en.tex:4324: Warning: Undefined label: 'sec:convert' (/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty)) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/bmpsize-base.sty./cascmd_en.tex:4567: Warning: Command not found: \* (/usr/share/texlive/texmf-dist/tex/latex/fp/fp-basic.sty `Basic Fixed Point Arithmetic', Version 1.2d (C) Michael Mehlich ) (/usr/share/texlive/texmf-dist/tex/latex/fp/fp-snap.sty `Fixed Point Snap Off', Version 1.0a (C) Michael Mehlich ) ) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/bmpsize-dvipdfmx.def)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty./cascmd_en.tex:4860: Warning: Command not found: \* )./cascmd_en.tex:4865: Warning: Command not found: \* (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)./cascmd_en.tex:4888: Warning: Command not found: \* ) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty) (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty) (./hevea.sty (/usr/share/texlive/texmf-dist/tex/latex/comment/comment.sty Excluding comment 'comment')TEXINPUTS=.:$TEXINPUTS /usr/bin/latex casinter.tex Excluding comment 'rawhtml' Excluding comment 'htmlonly')./cascmd_en.tex:5579: Warning: Undefined label: 'ssec:confcomp' (/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.styThis is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. 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(/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari thmetics.code.tex))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex No file cas.aux. [1]))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex Overfull \hbox (0.2488pt too wide) in paragraph at lines 80--84 []\OT1/cmr/m/n/10 more ad-vanced arith-metic: \OT1/cmtt/m/n/10 cyclotomic\OT1/c mr/m/n/10 , \OT1/cmtt/m/n/10 egcd\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 gcd\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 ichinrem\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 iquo\OT1/ cmr/m/n/10 , \OT1/cmtt/m/n/10 irem\OT1/cmr/m/n/10 , [2]./cascmd_en.tex:8862: Warning: \displaystyle ignored ))./cascmd_en.tex:8872: Warning: \displaystyle ignored ))))./cascmd_en.tex:8883: Warning: \displaystyle ignored LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 113. [3] `PSTricks' v3.01 <2020/09/18> (tvz,hv) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con) `PSTricks' v3.01 <2020/09/18> (tvz,hv) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con) [4]./cascmd_en.tex:8893: Warning: \displaystyle ignored ./cascmd_en.tex:8903: Warning: \displaystyle ignored Overfull \hbox (2.5556pt too wide) in paragraph at lines 209--211 [][][]\OT1/cmtt/m/n/10 unary.cc/.h[]\OT1/cmr/m/n/10 : unary op-er-a-tors class in-clud-ing non unary op-er-a-tions viewed Overfull \hbox (0.51657pt too wide) in paragraph at lines 214--217 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : Cal-cu-lus. De-rive Overfull \hbox (18.47073pt too wide) in paragraph at lines 235--242 \OT1/cmr/m/n/10 am-ples of pro-grams are pro-vided: \OT1/cmtt/m/n/10 src/factor .cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT1/cmr/m/n/10 , \OT1/cm tt/m/n/10 src/cas.cc\OT1/cmr/m/n/10 , [5] (./cas.aux)./cascmd_en.tex:8913: Warning: \displaystyle ignored LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas.dvi (5 pages, 14240 bytes). Transcript written on cas.log. TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas.tex ./cascmd_en.tex:8944: Warning: \displaystyle ignored ./cascmd_en.tex:8990: Warning: \displaystyle ignored ./cascmd_en.tex:9000: Warning: \displaystyle ignored ) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex)) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex)./cascmd_en.tex:9070: Warning: \displaystyle ignored ./cascmd_en.tex:9081: Warning: \displaystyle ignored This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. ./cascmd_en.tex:9092: Warning: \displaystyle ignored )./cascmd_en.tex:9127: Warning: Undefined label: 'sec:convertpoly' ./cascmd_en.tex:9129: Warning: Undefined label: 'sec:convertparf' ./cascmd_en.tex:9134: Warning: Undefined label: 'sec:convertunit' ./cascmd_en.tex:9140: Warning: Undefined label: 'sec:convertdfc' (/usr/share/texlive/texmf-dist/tex/latex/xkeyval/pst-xkey.sty))./cascmd_en.tex:9152: Warning: Undefined label: 'sec:convertbase' (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty (/usr/share/texlive/texmf-dist/tex/latex/multido/multido.sty (/usr/share/texlive/texmf-dist/tex/generic/multido/multido.tex./cascmd_en.tex:9171: Warning: '_' occurring outside math mode (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty./cascmd_en.tex:9194: Warning: '_' occurring outside math mode v1.42, 2010/05/14 )) (/usr/share/texlive/texmf-dist/tex/generic/pst-plot/pst-plot.tex (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty./cascmd_en.tex:9221: Warning: '_' occurring outside math mode ) (/usr/share/texlive/texmf-dist/tex/generic/pst-tools/pst-tools.tex `PST-tools' v0.10, 2020/03/24 (hv) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg))) (/usr/share/texlive/texmf-dist/tex/generic/pstricks-add/pstricks-add.tex) (/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex v1.42a, 2020/04/01./cascmd_en.tex:9277: Warning: \displaystyle ignored ./cascmd_en.tex:9284: Warning: \displaystyle ignored (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty)entering extended mode (./cas.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03>./cascmd_en.tex:9338: Warning: Undefined label: 'eq:fourier-def' ) (/usr/share/texlive/texmf-dist/tex/generic/pst-arrow/pst-arrow.tex `pst-arrow' v0.01, 2016/09/01 (dr,hv)) (/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty (/usr/share/texlive/texmf-dist/tex/generic/pst-3d/pst-3d.tex `PST-3d' v1.11, 2010/02/14 (tvz) (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls) (/usr/share/texlive/texmf-dist/tex/generic/pst-math/pst-math.tex `pst-math' v0.64 , (CJ,hv)) `pstricks-add' v3.89a, 2020/02/12 (dr,hv) Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo))./cascmd_en.tex:9635: Warning: \displaystyle ignored ./cascmd_en.tex:9635: Warning: \displaystyle ignored (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1ptm.fd)) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)) (./cas.aux)./cascmd_en.tex:9733: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9736: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9745: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9745: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9745: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9749: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9750: Warning: Application of '\~' on 'c' failed [1]./cascmd_en.tex:9759: Warning: Application of '\~' on 'c' failed ) v1.92, 2019/05/16 (tvz,hv) Overfull \hbox (0.2488pt too wide) in paragraph at lines 80--84 []\OT1/cmr/m/n/10 more ad-vanced arith-metic: \OT1/cmtt/m/n/10 cyclotomic\OT1/c mr/m/n/10 , \OT1/cmtt/m/n/10 egcd\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 gcd\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 ichinrem\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 iquo\OT1/ cmr/m/n/10 , \OT1/cmtt/m/n/10 irem\OT1/cmr/m/n/10 , [2]./cascmd_en.tex:9765: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9766: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9773: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9774: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9776: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9786: Warning: Application of '\~' on 'c_n' failed Writing index file casinter.idx (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def)./cascmd_en.tex:9791: Warning: Application of '\~' on 'c_n' failed LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 113. [3] No file casinter.aux. (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1pcr.fd)) [4]) Overfull \hbox (2.5556pt too wide) in paragraph at lines 209--211 [][][]\OT1/cmtt/m/n/10 unary.cc/.h[]\OT1/cmr/m/n/10 : unary op-er-a-tors class in-clud-ing non unary op-er-a-tions viewed Overfull \hbox (0.51657pt too wide) in paragraph at lines 214--217 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : Cal-cu-lus. De-rive Overfull \hbox (18.47073pt too wide) in paragraph at lines 235--242 \OT1/cmr/m/n/10 am-ples of pro-grams are pro-vided: \OT1/cmtt/m/n/10 src/factor .cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT1/cmr/m/n/10 , \OT1/cm tt/m/n/10 src/cas.cc\OT1/cmr/m/n/10 , [5] (./cas.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas.dvi (5 pages, 14240 bytes). Transcript written on cas.log. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)if /bin/grep -E -q -e '\\makeindex' cas.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo cas.dvi | sed -e s/\.dvi/\.idx/` ; \ fi (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd)./cascmd_en.tex:9936: Warning: \displaystyle ignored (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty)TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas.tex (/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1ptm.fd))) (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd Writing index file cascmd_en.idx (./cutting.sty)) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ts1ptm.fd) [1] Overfull \hbox (4.24826pt too wide) in paragraph at lines 166--170 \T1/ptm/m/n/10 If no com-mand line is avail-able, you can get a new one by the [][]\T1/pcr/m/n/10 Toolbox->New entry [2]This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def) [3./cascmd_en.tex:10132: Warning: Undefined label: 'sec:boxcar' ]./cascmd_en.tex:10151: Warning: Undefined label: 'sec:tri' [4] [5]./cascmd_en.tex:10156: Warning: Undefined label: 'sec:rect' [6] Overfull \hbox (0.9199pt too wide) in paragraph at lines 489--500 [][]\T1/pcr/m/n/10 mini:=solve(diff(f(x),x)) []\T1/ptm/m/n/10 and [][]\T1/pcr/m /n/10 M:=point(mini[0],f(mini[0])) []\T1/ptm/m/n/10 to [7] No file cascmd_en.aux. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty [8] [9] Overfull \hbox (22.11685pt too wide) in paragraph at lines 650--667 \T1/ptm/m/n/10 You will see a small con-fig-u-ra-tion screen where you can chan ge the num-ber of rows/columns, [10] [11] [12] (/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty (./casinter.aux) LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information) Output written on casinter.dvi (12 pages, 54468 bytes). Transcript written on casinter.log. )TEXINPUTS=.:$TEXINPUTS /usr/bin/latex casinter.tex ./cascmd_en.tex:10237: Warning: Undefined label: 'sec:crosscorr' (/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty))This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. Package hyperref Warning: Rerun to get /PageLabels entry. (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1pcr.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)entering extended mode (./cas.tex (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27>) xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo) (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)) [1] (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ts1ptm.fd) Underfull \hbox (badness 10000) in paragraph at lines 71--74 [2]entering extended mode (./casinter.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> [3] [4] (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def) (./cas.aux) (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Chapter 1. No file cascmd_en.ind. [5] [6] Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo) [1]) Overfull \hbox (0.2488pt too wide) in paragraph at lines 80--84 []\OT1/cmr/m/n/10 more ad-vanced arith-metic: \OT1/cmtt/m/n/10 cyclotomic\OT1/c mr/m/n/10 , \OT1/cmtt/m/n/10 egcd\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 gcd\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 ichinrem\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 iquo\OT1/ cmr/m/n/10 , \OT1/cmtt/m/n/10 irem\OT1/cmr/m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 113. [3] (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty [4] Overfull \hbox (2.5556pt too wide) in paragraph at lines 209--211 [][][]\OT1/cmtt/m/n/10 unary.cc/.h[]\OT1/cmr/m/n/10 : unary op-er-a-tors class in-clud-ing non unary op-er-a-tions viewed Overfull \hbox (0.51657pt too wide) in paragraph at lines 214--217 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : Cal-cu-lus. De-rive Overfull \hbox (18.47073pt too wide) in paragraph at lines 235--242 \OT1/cmr/m/n/10 am-ples of pro-grams are pro-vided: \OT1/cmtt/m/n/10 src/factor .cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT1/cmr/m/n/10 , \OT1/cm tt/m/n/10 src/cas.cc\OT1/cmr/m/n/10 , [5] For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (./cas.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas.dvi (5 pages, 14240 bytes). Transcript written on cas.log. Chapter 2. [7]/usr/bin/dvips -o cas.ps cas.dvi (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty) Overfull \hbox (27.46349pt too wide) in paragraph at lines 183--187 []\T1/ptm/m/n/10.95 If you are run-ning Mac OS, you can use the Finder to go to the \T1/pcr/m/n/10.95 xcas_image.dmg [8]) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty) Overfull \hbox (282.10446pt too wide) in paragraph at lines 254--260 []\T1/ptm/m/n/10.95 To run \T1/pcr/m/n/10.95 giac \T1/ptm/m/n/10.95 through Fir e-fox, you can open the url [][][]$\T1/pcr/m/n/10.95 https : / / www-[]fourier . ujf-[]grenoble . fr / ~parisse / giac / xcasen . html$[][][][]\T1/ptm/m/n/10. 95 . Overfull \hbox (0.75586pt too wide) in paragraph at lines 263--267 \T1/ptm/m/n/10.95 TeXmacs ([][][]$\T1/pcr/m/n/10.95 http : / / www . texmacs . org$[][][][]\T1/ptm/m/n/10.95 ) is a so-phis-ti-cated word pro-ces-sor with [9] Overfull \hbox (13.79454pt too wide) in paragraph at lines 275--280 \T1/ptm/m/n/10.95 text. To en-ter nor-mal text within a \T1/pcr/m/n/10.95 giac \T1/ptm/m/n/10.95 ses-sion, use the menu item \T1/pcr/m/n/10.95 Focus$\U/msa/m/ n/10.95 I$\T1/pcr/m/n/10.95 Insert [10./cascmd_en.tex:10792: Warning: Command not found: \talloblong ./cascmd_en.tex:10792: Warning: Command not found: \talloblong ] (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty Chapter 3. [11]./cascmd_en.tex:10867: Warning: Command not found: \talloblong ./cascmd_en.tex:10867: Warning: Command not found: \talloblong )This is dvips(k) 2020.1 Copyright 2020 Radical Eye Software (www.radicaleye.com) ' TeX output 2021.10.19:1509' -> cas.ps ( FP-DIV (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty ) ( FP-DIV kpathsea: Running mktexpk --mfmode ljfour --bdpi 600 --mag 1+0/600 --dpi 600 tcrm1000 ) ) LaTeX Warning: Reference `sssec:helpind' on page 12 undefined on input line 408 . Overfull \hbox (7.2471pt too wide) in paragraph at lines 404--410 []\T1/ptm/m/n/10.95 The first but-ton, [], will open the help in-dex. (The same as the \T1/pcr/m/n/10.95 Help$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Index [12] (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty) LaTeX Warning: Reference `sec:config' on page 13 undefined on input line 422. Overfull \hbox (1.69905pt too wide) in paragraph at lines 419--427 []\T1/ptm/m/n/10.95 , is a sta-tus line LaTeX Warning: Reference `ssec:approx' on page 13 undefined on input line 429. LaTeX Warning: Reference `ssec:complex' on page 13 undefined on input line 435. LaTeX Warning: Reference `ssec:cvars' on page 13 undefined on input line 435. LaTeX Warning: Reference `ssec:angles' on page 13 undefined on input line 444. LaTeX Warning: Reference `ssec:sigdig' on page 13 undefined on input line 449. LaTeX Warning: Reference `ssec:lang' on page 13 undefined on input line 453. LaTeX Warning: Reference `ssec:confcomp' on page 13 undefined on input line 463 . ( FP-DIV (/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty./cascmd_en.tex:11134: Warning: Undefined label: 'sec:factore' ) ( FP-DIV (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)) ) [13] (/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty LaTeX Warning: Reference `ssec:CST' on page 14 undefined on input line 496. LaTeX Warning: Reference `ssec:helpmenu' on page 14 undefined on input line 516 . [14]./cascmd_en.tex:11246: Warning: \displaystyle ignored [15] Overfull \hbox (99.91336pt too wide) in paragraph at lines 636--641 \T1/ptm/m/n/10.95 ing the server at [][][]$\T1/pcr/m/n/10.95 http : / / www-[]f ourier . ujf-[]grenoble . fr / ~parisse / xcasen . html$[][][][] [16] (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty [17] Overfull \hbox (17.21321pt too wide) in paragraph at lines 769--773 \T1/ptm/m/n/10.95 This will open a win-dow that you can use to con-fig-ure var- i-ous non-computational [18] (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg) LaTeX Warning: Reference `sssec:helpind' on page 19 undefined on input line 836 . [19] (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvips.def) [20])./cascmd_en.tex:11373: Warning: Undefined label: 'sec:ranm2' LaTeX Warning: Reference `sssec:helpind' on page 21 undefined on input line 983 . [21 (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex] (/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/keyval.tex))))) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex LaTeX Warning: Reference `ssec:confcomp' on page 22 undefined on input line 107 7. LaTeX Warning: Reference `ssec:conffile' on page 22 undefined on input line 108 2. LaTeX Warning: Reference `ssec:confcomp' on page 22 undefined on input line 109 2. [22] (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex `pst-fp' v0.05, 2010/01/17 (hv)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t ex)) LaTeX Warning: Reference `ssec:conffile' on page 23 undefined on input line 110 4. LaTeX Warning: Reference `ssec:confcomp' on page 23 undefined on input line 111 5. LaTeX Warning: Reference `ssec:conffile' on page 23 undefined on input line 112 2. LaTeX Warning: Reference `ssec:conffile' on page 23 undefined on input line 113 9. Overfull \hbox (2.24474pt too wide) in paragraph at lines 1146--1148 \T1/ptm/m/n/10.95 When fac-tor-ing poly-no-mi-als, \T1/pcr/m/n/10.95 Xcas \T1/p tm/m/n/10.95 won't in-tro-duce com-plex num-bers if they aren't [23 (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex] (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.t ex LaTeX Warning: Reference `ssec:conffile' on page 24 undefined on input line 118 8. LaTeX Warning: Reference `ssec:conffile' on page 24 undefined on input line 122 1. Overfull \hbox (55.70105pt too wide) in paragraph at lines 1226--1230 \T1/ptm/m/n/10.95 You can con-fig-ure how \T1/pcr/m/n/10.95 Xcas \T1/ptm/m/n/10 .95 com-putes by us-ing the menu item \T1/pcr/m/n/10.95 Cfg$\U/msa/m/n/10.95 I$ \T1/pcr/m/n/10.95 Cas configuration [24])) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex Loading pgffor.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) Overfull \hbox (5.18015pt too wide) in paragraph at lines 1265--1269 \T1/ptm/m/n/10.95 num-ber be-tween 1 and 10 times a power of ten; for ex-am-ple , \T1/pcr/m/n/10.95 15000.12 [25] (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code .tex Overfull \hbox (11.0607pt too wide) in paragraph at lines 1333--1340 \T1/ptm/m/n/10.95 checked, then the so-lu-tions of \T1/pcr/m/n/10.95 cos(x)=0 \ T1/ptm/m/n/10.95 will be \T1/pcr/m/n/10.95 [(2*n_0*pi + pi)/2]\T1/ptm/m/n/10.95 , [26)] (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet ric.code.tex Overfull \hbox (3.78696pt too wide) in paragraph at lines 1357--1364 \T1/ptm/m/n/10.95 graph-i-cal con-fig-u-ra-tion us-ing the the menu item \T1/pc r/m/n/10.95 Cfg$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Graph configuration\T1/ptm /m/n/10.95 . [27]) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod e.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison .code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code. tex Overfull \hbox (21.13075pt too wide) in paragraph at lines 1464--1464 []\T1/ptm/b/n/12 The con-fig-u-ra-tion file: \T1/pcr/b/n/12 widget_size cas_set up xcas_mode [28]) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code .tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code. tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari thmetics.code.tex)) [29]) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex Overfull \hbox (4.51189pt too wide) in paragraph at lines 1531--1533 []\T1/pcr/m/n/10.95 increasing_power\T1/ptm/m/n/10.95 . This is 0 to dis-play p oly-no-mi-als in in-creas-ing power, LaTeX Warning: Reference `ssec:confgraph' on page 30 undefined on input line 15 42. [30]))./cascmd_en.tex:11605: Warning: Command not found: \pi* Overfull \hbox (43.94365pt too wide) in paragraph at lines 1628--1637 []\T1/ptm/m/n/10.95 If you pre-fer to save the printed form as a file, you can use the \T1/pcr/m/n/10.95 File$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Print$\U/ms a/m/n/10.95 I$\T1/pcr/m/n/10.95 preview [31]) Overfull \hbox (24.30562pt too wide) in paragraph at lines 1663--1663 []\T1/ptm/b/n/12 Translating graph-i-cal out-put to L[]T[]X: \T1/pcr/b/n/12 gra ph2tex graph3d2tex Overfull \hbox (67.04948pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 (tvz,hv) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con) Overfull \hbox (60.47949pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 [] Overfull \hbox (40.76952pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 12[] [33] [34] Overfull \hbox (60.47949pt too wide) in paragraph at lines 1836--1836 []\T1/pcr/m/n/10.95 [] Overfull \hbox (24.34128pt too wide) in paragraph at lines 1840--1842 \T1/ptm/m/n/10.95 You can trans-late a file of Maple com-mands to the Xcas lan- guage with the \T1/pcr/m/n/10.95 maple2xcas [35] [36] Chapter 4. Overfull \hbox (3.61932pt too wide) in paragraph at lines 1899--1903 []\T1/ptm/m/n/10.95 To add a com-ment to a pro-gram, rather than a ses-sion, yo u can use the \T1/pcr/m/n/10.95 comment[] [37] [38] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV) ) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:11770: Warning: Undefined label: 'sec:igcd' ) [39])./cascmd_en.tex:11859: Warning: Undefined label: 'sec:ilcm' ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty ) ./cascmd_en.tex:11945: Warning: \displaystyle ignored ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty [40] [41] (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) Overfull \hbox (6.98224pt too wide) in paragraph at lines 2165--2168 \T1/ptm/m/n/10.95 The con-fig-u-ra-tion screen can be re-opened with the \T1/pc r/m/n/10.95 Edit$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Configuration$\U/msa/m/n/ 10.95 I$\T1/pcr/m/n/10.95 Cfg ( FP-DIV ) ( FP-DIV ) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg) [42]) [43)]./cascmd_en.tex:12233: Warning: \overrightarrow outside display mode ./cascmd_en.tex:12233: Warning: \overrightarrow outside display mode ./cascmd_en.tex:12233: Warning: \overrightarrow outside display mode LaTeX Warning: Reference `sec:seq' on page 44 undefined on input line 2332. [44] [45] (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) Overfull \hbox (43.6654pt too wide) in paragraph at lines 2419--2419 []\T1/ptm/b/n/12 Storing and re-call-ing vari-ables and their val-ues: \T1/pcr/ b/n/12 archive unarchive [46] [47] [48] (/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1ptm.fd)) Overfull \hbox (9.67053pt too wide) in paragraph at lines 2620--2620 []\T1/ptm/b/n/12 Unassigning vari-ables: \T1/pcr/b/n/12 VARS purge DelVar del r estart [49] (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty) Overfull \hbox (44.97061pt too wide) in paragraph at lines 2670--2674 \T1/ptm/m/n/10.95 vari-ables with sin-gle low-er-case let-ter names. If you hav e vari-ables names \T1/pcr/m/n/10.95 A,B,a,b,myvar\T1/ptm/m/n/10.95 , [50]./cascmd_en.tex:12499: Warning: Undefined label: 'sec:gbasis' [51]./cascmd_en.tex:12518: Warning: Undefined label: 'sec:gbasis' [52] Writing index file casinter.idx (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def Overfull \hbox (5.08661pt too wide) in paragraph at lines 2881--2881 []\T1/ptm/b/n/12 Internal di-rec-to-ries: \T1/pcr/b/n/12 NewFold SetFold GetFol d DelFold [53] [54]) (./casinter.aux) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1pcr.fd)./cascmd_en.tex:12618: Warning: Undefined label: 'sec:inumer' (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) Chapter 5. Overfull \hbox (68.94576pt too wide) in paragraph at lines 2915--2915 []\T1/ptm/b/n/14.4 Symbolic con-stants : \T1/pcr/m/n/14.4 e pi infinity inf i e uler_gamma Overfull \hbox (99.73698pt too wide) in paragraph at lines 2920--2928 \T1/pcr/m/n/10.95 euler_gamma \T1/ptm/m/n/10.95 is Eu-ler's con-stant $\OML/cmm /m/it/10.95 ^^M$\T1/ptm/m/n/10.95 ; namely, \T1/pcr/m/n/10.95 limit(sum(1/k,k,1 ,n)-ln(n),n,+infinity) Overfull \hbox (0.75572pt too wide) in paragraph at lines 2939--2955 \T1/ptm/m/n/10.95 To write an al-ge-braic func-tion hav-ing the same re-sult as an \T1/pcr/m/n/10.95 if...then...else\T1/ptm/m/n/10.95 , Overfull \hbox (32.13776pt too wide) in paragraph at lines 2956--2959 \T1/ptm/m/n/10.95 defines the boolean func-tion $\OML/cmm/m/it/10.95 f$ \T1/ptm /m/n/10.95 such that \T1/pcr/m/n/10.95 f(x)= true \T1/ptm/m/n/10.95 if $\OML/cm m/m/it/10.95 x \OMS/cmsy/m/n/10.95 2 \OT1/cmr/m/n/10.95 (0; +\OMS/cmsy/m/n/10.9 5 1\OT1/cmr/m/n/10.95 [$ \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 f(x)=false [55] (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd./cascmd_en.tex:12645: Warning: Undefined label: 'sec:idenom' ) Underfull \hbox (badness 10000) in paragraph at lines 2962--2965 Overfull \hbox (11.70648pt too wide) in paragraph at lines 3000--3005 \T1/pcr/m/n/10.95 exp2list \T1/ptm/m/n/10.95 re-turns the list \T1/pcr/m/n/10.9 5 [expr0,expr1] \T1/ptm/m/n/10.95 when the ar-gu-ment is \T1/pcr/m/n/10.95 (var =expr0) [56./cascmd_en.tex:12658: Warning: Undefined label: 'sec:ifxnd' ]./cascmd_en.tex:12670: Warning: Undefined label: 'sec:isimp2' Overfull \hbox (18.61649pt too wide) in paragraph at lines 3018--3025 \T1/pcr/m/n/10.95 list2exp \T1/ptm/m/n/10.95 re-turns the boolean ex-pres-sion \T1/pcr/m/n/10.95 ((var = val1) or (var = val2) [57] (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) Underfull \hbox (badness 10000) in paragraph at lines 3090--3095 [58]./cascmd_en.tex:12710: Warning: Undefined label: 'sec:convert' (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ts1ptm.fd Underfull \hbox (badness 10000) in paragraph at lines 3103--3108 Underfull \hbox (badness 10000) in paragraph at lines 3138--3146 [59]) [1] Overfull \hbox (4.24826pt too wide) in paragraph at lines 166--170 \T1/ptm/m/n/10 If no com-mand line is avail-able, you can get a new one by the [][]\T1/pcr/m/n/10 Toolbox->New entry [2] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\char' on input line 3166. [60] Underfull \hbox (badness 10000) in paragraph at lines 3211--3214 [61 [3]] [4 [62]] [63] [5] [6] Overfull \hbox (0.9199pt too wide) in paragraph at lines 489--500 [][]\T1/pcr/m/n/10 mini:=solve(diff(f(x),x)) []\T1/ptm/m/n/10 and [][]\T1/pcr/m /n/10 M:=point(mini[0],f(mini[0])) []\T1/ptm/m/n/10 to [7] [64] [65 [8] [66]] [9] Overfull \hbox (22.11685pt too wide) in paragraph at lines 650--667 \T1/ptm/m/n/10 You will see a small con-fig-u-ra-tion screen where you can chan ge the num-ber of rows/columns, [10] [11] [12] (./casinter.aux) Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3418. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3418. Overfull \hbox (19.50386pt too wide) in paragraph at lines 3434--3438 \T1/ptm/m/n/10.95 To check the an-swer, in-put \T1/pcr/m/n/10.95 expr("0173") \ T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 horner(revlist([3,7,1]),8) [67] ) (see the transcript file for additional information) Output written on casinter.dvi (12 pages, 54468 bytes). Transcript written on casinter.log. ./cascmd_en.tex:13026: Warning: \displaystyle ignored if /bin/grep -E -q -e '\\makeindex' casinter.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo casinter.dvi | sed -e s/\.dvi/\.idx/` ; \ fi Overfull \hbox (1.34956pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 9332621544394415268169923885626670049071596826438162[] Overfull \hbox (1.34956pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 1468592963895217599993229915608941463976156518286253[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 697920827223758251185210916864000000000000000000000000[] LaTeX Warning: Reference `sec:gcd' on page 68 undefined on input line 3475. [68] Underfull \hbox (badness 10000) in paragraph at lines 3498--3501 Underfull \hbox (badness 10000) in paragraph at lines 3502--3503 Underfull \hbox (badness 10000) in paragraph at lines 3516--3517 LaTeX Warning: Reference `sec:gcd' on page 69 undefined on input line 3526. [69] LaTeX Warning: Reference `sec:lcm' on page 70 undefined on input line 3549. [70] [71] Overfull \hbox (10.78601pt too wide) in paragraph at lines 3648--3648 []\T1/ptm/b/n/12 The in-te-ger Eu-clidean re-main-der : \T1/pcr/m/n/12 irem rem ain smod mods [72] Overfull \hbox (14.48955pt too wide) in paragraph at lines 3663--3663 \T1/pcr/m/n/10.95 111615339728229933018338917803008301992120942047239639312 LaTeX Warning: Reference `sec:modulaire' on page 73 undefined on input line 369 2. [73]./cascmd_en.tex:13163: Warning: \displaystyle ignored ./cascmd_en.tex:13179: Warning: \displaystyle ignored ./cascmd_en.tex:13189: Warning: Undefined label: 'sec:iquorem' ./cascmd_en.tex:13189: Warning: Undefined label: 'sec:quorem' ./cascmd_en.tex:13197: Warning: \displaystyle ignored [74] [75] [76]This is makeindex, version 2.15 [TeX Live 2020] (kpathsea + Thai support). Scanning input file casinter.idx...done (0 entries accepted, 0 rejected). Nothing written in casinter.ind. Transcript written in casinter.ilg. Overfull \hbox (1.34956pt too wide) in paragraph at lines 3829--3829 \T1/pcr/m/n/10.95 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71 Overfull \hbox (4.14935pt too wide) in paragraph at lines 3831--3831 []\T1/ptm/b/n/12 The num-ber of pseudo-primes less than or equal to \T1/pcr/m/n /12 n\T1/ptm/b/n/12 : \T1/pcr/m/n/12 nprimes [77]TEXINPUTS=.:$TEXINPUTS /usr/bin/latex casinter.tex ./cascmd_en.tex:13277: Warning: Undefined label: 'sec:gcd' Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3858. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3858. Overfull \hbox (51.90477pt too wide) in paragraph at lines 3868--3871 \T1/pcr/m/n/10.95 ichinrem([a,p],[b,q]) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 ichrem([a,p],[b,q]) \T1/ptm/m/n/10.95 re-turns a list \T1/pcr/m/n/10.95 [c,lcm( p,q)] [78] Underfull \hbox (badness 10000) in paragraph at lines 3907--3909 Overfull \hbox (1.5333pt too wide) in paragraph at lines 3913--3917 \T1/pcr/m/n/10.95 ichrem \T1/ptm/m/n/10.95 (or\T1/pcr/m/n/10.95 ichinrem\T1/ptm /m/n/10.95 )may be used to find the co-ef-fi-cients of a poly-no-mial whose [79] Overfull \hbox (1.03072pt too wide) in paragraph at lines 3931--3943 \T1/ptm/m/n/10.95 For ex-am-ple, \T1/pcr/m/n/10.95 chrem([a,b,c],[p,q,r]) \T1/p tm/m/n/10.95 re-turns the list \T1/pcr/m/n/10.95 [x,lcm(p,q,r)] [80] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Underfull \hbox (badness 10000) in paragraph at lines 4002--4004 [81] [82]./cascmd_en.tex:13339: Warning: Undefined label: 'sec:rref' Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4064. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4064. [83] LaTeX Warning: Reference `ssec:rand' on page 84 undefined on input line 4121. [84] Overfull \hbox (73.61948pt too wide) in paragraph at lines 4179--4180 \T1/pcr/m/n/10.95 wz_certificate((-1)^^Bk*comb(n,k)*comb(2k,k)*4^^B(n-k),comb( 2n,n),n,k) [85]This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. Overfull \hbox (79.08981pt too wide) in paragraph at lines 4197--4197 []\T1/ptm/b/n/12 Transform a float-ing point num-ber into a ra-tio-nal : \T1/pc r/m/n/12 exact float2rational Overfull \hbox (0.65764pt too wide) in paragraph at lines 4198--4205 \T1/ptm/m/n/10.95 re-turns a ra-tio-nal num-ber \T1/pcr/m/n/10.95 q \T1/ptm/m/n /10.95 close to \T1/pcr/m/n/10.95 d \T1/ptm/m/n/10.95 such that \T1/pcr/m/n/10. 95 abs(d-q) patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> [97]./cascmd_en.tex:13680: Warning: \displaystyle ignored (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls [98] Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo) [99] [100]) Underfull \hbox (badness 10000) in paragraph at lines 4858--4860 [101]./cascmd_en.tex:13716: Warning: \displaystyle ignored (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4893. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\Gamma' on input line 4893. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4893. Overfull \hbox (20.08481pt too wide) in paragraph at lines 4923--4924 \T1/ptm/m/n/10.95 Indeed \T1/pcr/m/n/10.95 Gamma(0.7)=-0.3*Gamma(-0.3)=(-0.3)*( -1.3)*Gamma(-1.3) Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4926. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\gamma' on input line 4926. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4926. [102] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4955. 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[140 [54]] [55] [56] [57]) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txrsuper.mf Ok [185] [178] [179]) [170] [186]) (/usr/share/texlive/texmf-dist/fonts/source/jknappen/ec/txrfract.mf [141 Ok [188]] [189] [190]) ) ) ) (some charht values had to be adjusted by as much as 0.06943pt) Font metrics written on tcrm1000.tfm. Output written on tcrm1000.600gf (128 characters, 23548 bytes). Transcript written on tcrm1000.log. [142] (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty Overfull \hbox (4.66565pt too wide) in paragraph at lines 6902--6904 []\T1/ptm/m/n/10.95 input [10,2,3]*[4,1] or [10,2,3]*[4,1,0] or '*'([10,2,3],[4 ,1]), out-put 42 (scalar [143]./cascmd_en.tex:16085: Warning: Undefined label: 'sec:ranm1' ./cascmd_en.tex:16085: Warning: Undefined label: 'sec:ranm4' (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty LaTeX Warning: Reference `sec:trigo' on page 144 undefined on input line 6989. 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[152] (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1pcr.fd) [153] [154] LaTeX Warning: Reference `sec:plotfunc' on page 155 undefined on input line 745 7. LaTeX Warning: Reference `sec:plusvar' on page 155 undefined on input line 7469 . [155 (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)] (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd [156]) Overfull \hbox (0.60257pt too wide) in paragraph at lines 7568--7569 \T1/ptm/m/n/10.95 list such that de-pen-dent vari-ables come last, e.g. \T1/pcr /m/n/10.95 [x1,..,xn,y1,..,ym] Overfull \hbox (5.45894pt too wide) in paragraph at lines 7571--7572 \T1/pcr/m/n/10.95 constr\T1/ptm/m/n/10.95 . By im-plicit func-tion the-o-rem, t he Ja-co-bian ma-trix of $\OT1/cmr/bx/n/10.95 g \OT1/cmr/m/n/10.95 = (\OML/cmm/ m/it/10.95 g[]; g[]; [] ; g[]\OT1/cmr/m/n/10.95 )$ [157] (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) [158] (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)mktexpk: /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/.debhelper/generated/_source/home/.texlive2020/texmf-var/fonts/pk/ljfour/jknappen/ec/tcrm1000.600pk: successfully generated. (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ts1ptm.fd) Overfull \hbox (6.38956pt too wide) in paragraph at lines 7669--7670 []\T1/ptm/m/n/10.95 Optionally, a se-quence of val-ues of the pa-ram-e-ter $\OM L/cmm/m/it/10.95 m$ \T1/ptm/m/n/10.95 may be passed to \T1/pcr/m/n/10.95 numdif f\T1/ptm/m/n/10.95 . [159] . [1] [160] [1 [161] Overfull \hbox (4.24826pt too wide) in paragraph at lines 166--170 \T1/ptm/m/n/10 If no com-mand line is avail-able, you can get a new one by the [][]\T1/pcr/m/n/10 Toolbox->New entry [2]] [2] [3] [4] [5] [162] [3] [163] [164] [4] [165] [5] [6] Overfull \hbox (18.3649pt too wide) in paragraph at lines 7926--7928 []\T1/ptm/m/n/10.95 if $\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 6\OT1/cmr/m/n/10.95 = 0$\T1/ptm /m/n/10.95 , the list $\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 u\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 v\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OMS/cms y/m/n/10.95 ^^@\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\O T1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.9 5 x\OT1/cmr/m/n/10.95 )]$ \T1/ptm/m/n/10.95 (or $\OT1/cmr/m/n/10.95 [\OML/cmm/m /it/10.95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) + \OML /cmm/m/it/10.95 u\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\ OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 v\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 u[]\OT1/c mr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )]$\T1/ptm/m/n/10.95 ), Overfull \hbox (24.67255pt too wide) in paragraph at lines 7928--7932 \T1/pcr/m/n/10.95 ibpdv([F(x),g(x)],0) \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/1 0.95 F(x)+G(x) \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.95 diff(G(x))=g(x)\T1/ptm /m/n/10.95 . [166] Overfull \hbox (0.9199pt too wide) in paragraph at lines 489--500 [][]\T1/pcr/m/n/10 mini:=solve(diff(f(x),x)) []\T1/ptm/m/n/10 and [][]\T1/pcr/m /n/10 M:=point(mini[0],f(mini[0])) []\T1/ptm/m/n/10 to [7] Overfull \hbox (18.10255pt too wide) in paragraph at lines 7979--7983 \T1/pcr/m/n/10.95 ibpu([F(x),g(x)],0) \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10 .95 F(x)+G(x) \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.95 diff(G(x))=g(x)\T1/ptm/ m/n/10.95 . [167] LaTeX Warning: Reference `sec:subst' on page 168 undefined on input line 8020. [168] [8] [169] [9 [170]] Overfull \hbox (22.11685pt too wide) in paragraph at lines 650--667 \T1/ptm/m/n/10 You will see a small con-fig-u-ra-tion screen where you can chan ge the num-ber of rows/columns, [10 [171]] [11 LaTeX Warning: Reference `eq:euler-lagrange' on page 172 undefined on input lin e 8167. LaTeX Warning: Reference `eq:hamiltonian' on page 172 undefined on input line 8 167. [172]] [12] (./casinter.aux) ) (see the transcript file for additional information) Output written on casinter.dvi (12 pages, 54468 bytes). Transcript written on casinter.log. /usr/bin/dvips -o casinter.ps casinter.dvi [173] [174] Overfull \hbox (0.30856pt too wide) in paragraph at lines 8297--8298 []\T1/ptm/m/n/10.95 In the next ex-am-ple we min-i-mize the func-tional $\OML/c mm/m/it/10.95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 ) = [][](\OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m /n/10.95 )[] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 4 \OML/cmm/m/it/10.95 y \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )) d\OML/cmm/m/it/1 0.95 x$ [175] LaTeX Warning: Reference `eq:jacobi-equation' on page 176 undefined on input li ne 8340. LaTeX Warning: Reference `eq:jacobi-equation' on page 176 undefined on input li ne 8340. [176] [177] Overfull \hbox (1.68819pt too wide) in paragraph at lines 8416--8418 \T1/ptm/m/n/10.95 We set $\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/i t/10.95 y; y[]; x\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) []$ \T1/ptm/m/n/10.95 and com-pute the as-so-ci-ated Euler-Lagrange Overfull \hbox (1.34956pt too wide) in paragraph at lines 8431--8432 \T1/pcr/m/n/10.95 [-K_0,K_0*(-exp((x-c_1)/K_0)[][]^[]2-1)/(2*exp((x-c_1)/K_0)) ] ( FP-DIV ) ( FP-DIV ) This is dvips(k) 2020.1 Copyright 2020 Radical Eye Software (www.radicaleye.com) ' TeX output 2021.10.19:1509' -> casinter.ps [178] [179] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ./cascmd_en.tex:17930: Warning: Undefined label: 'eq:lpexample' ) ( FP-DIV . ) [180] [181 ] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10 Overfull \hbox (41.86461pt too wide) in paragraph at lines 8560--8560 \T1/pcr/m/n/10.95 limit((sqrt(1+x+x[][]^[]2/2)-exp(x/2))/((1-cos(x))*sin(x)),x ,0) Underfull \hbox (badness 10000) in paragraph at lines 8575--8576 [182] ][11] [12] Overfull \hbox (19.22124pt too wide) in paragraph at lines 8593--8593 []\T1/ptm/b/n/12 Expand a tran-scen-den-tal and trigono-met-ric ex-pres-sion : \T1/pcr/m/n/12 texpand Overfull \hbox (27.45184pt too wide) in paragraph at lines 8594--8601 \T1/pcr/m/n/10.95 texpand \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 tExpand \T1/pt m/m/n/10.95 ex-pands these func-tions, like si-mul-ta-ne-ous call-ing \T1/pcr/m /n/10.95 expexpand\T1/ptm/m/n/10.95 , Underfull \hbox (badness 10000) in paragraph at lines 8594--8601 Overfull \hbox (40.64427pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.23. REWRITING TRANSCENDENTAL AND TRIGONOMETRIC EXPRESSION S \T1/ptm/m/n/10.95 183 [183] Overfull \hbox (19.96469pt too wide) in paragraph at lines 8640--8640 \T1/pcr/m/n/10.95 texpand(log(e[][]^[]2)+exp(2*log(2))+exp(log(3)+log(2))) [184] Overfull \hbox (35.57925pt too wide) in paragraph at lines 8666--8668 []\T1/pcr/m/n/10.95 combine(expr,trig) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 c ombine(expr,sin) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 combine(expr,cos) Overfull \hbox (40.64427pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.23. REWRITING TRANSCENDENTAL AND TRIGONOMETRIC EXPRESSION S \T1/ptm/m/n/10.95 185 [185] [186] Overfull \hbox (47.187pt too wide) in paragraph at lines 8754--8754 []\T1/ptm/b/n/12 Increase the phase by $\OML/cmm/m/it/12 ^^Y=\OT1/cmr/m/n/12 2$ \T1/ptm/b/n/12 in a trigono-met-ric ex-pres-sion: \T1/pcr/b/n/12 shift_phase Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 8754. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\pi' on input line 8754. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 8754. [187] [188] [189] [190] Overfull \hbox (1.34956pt too wide) in paragraph at lines 8934--8934 \T1/pcr/m/n/10.95 simplify(sincos(((i)*(exp((i)*x))[][]^[]2-i)/(2*exp((i)*x))) ) Overfull \hbox (14.48955pt too wide) in paragraph at lines 8936--8936 \T1/pcr/m/n/10.95 simplify(exp2trig(((i)*(exp((i)*x))[][]^[]2-i)/(2*exp((i)*x) ))) [191] [192] Overfull \hbox (11.91388pt too wide) in paragraph at lines 9028--9028 \T1/ptm/b/n/12 hy-per-bolic func-tions as func-tion of exp(x): \T1/pcr/m/n/12 h alftan_hyp2exp Overfull \hbox (97.8606pt too wide) in paragraph at lines 9029--9035 \T1/pcr/m/n/10.95 halftan_hyp2exp \T1/ptm/m/n/10.95 rewrites $[]\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\OT1/cmr /m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\O T1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 in terms of $[]\OT1/cmr/m/n/10.95 ([])$ \T1/ptm/m/n/10.95 and $[]\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\ OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ Overfull \hbox (0.93056pt too wide) in paragraph at lines 9044--9048 \T1/pcr/m/n/10.95 atrig2ln \T1/ptm/m/n/10.95 takes as ar-gu-ment an ex-pres-sio n con-tain-ing in-verse trigono-met-ric func- [193] Overfull \hbox (3.02141pt too wide) in paragraph at lines 9053--9058 \T1/pcr/m/n/10.95 trig2exp \T1/ptm/m/n/10.95 rewrites the trigono-met-ric func- tions with com-plex ex-po-nen-tials (\T1/ptm/m/sc/10.95 with- [194] Overfull \hbox (42.9815pt too wide) in paragraph at lines 9102--9102 []\T1/ptm/b/n/12 Rewrite an ex-pres-sion with dif-fer-ent op-tions : \T1/pcr/m/ n/12 convert convertir [195]./cascmd_en.tex:18620: Warning: Undefined label: 'ssec:vectornorms' ./cascmd_en.tex:18649: Warning: Undefined label: 'sec:l2normv' ./cascmd_en.tex:18651: Warning: \displaystyle ignored LaTeX Warning: Reference `sec:convertpoly' on page 196 undefined on input line 9127. LaTeX Warning: Reference `sec:convertparf' on page 196 undefined on input line 9129. LaTeX Warning: Reference `sec:convertunit' on page 196 undefined on input line 9134. LaTeX Warning: Reference `sec:convertdfc' on page 196 undefined on input line 9 140. Overfull \hbox (3.0008pt too wide) in paragraph at lines 9135--9141 []\T1/ptm/m/n/10.95 write a real as a con-tin-ued frac-tion : \T1/pcr/m/n/10.95 convert(a,confrac,'fc') \T1/ptm/m/n/10.95 writes Overfull \hbox (1.743pt too wide) in paragraph at lines 9135--9141 \T1/ptm/m/n/10.95 For ex-am-ple, \T1/pcr/m/n/10.95 convert(1.2,confrac,'fc')=[1 ,5] \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 fc \T1/ptm/m/n/10.95 con-tains LaTeX Warning: Reference `sec:convertbase' on page 196 undefined on input line 9152. Overfull \hbox (45.38257pt too wide) in paragraph at lines 9157--9157 []\T1/ptm/b/n/12 Fourier co-ef-fi-cients : \T1/pcr/m/n/12 fourier_an \T1/ptm/b/ n/12 and \T1/pcr/m/n/12 fourier_bn \T1/ptm/b/n/12 or \T1/pcr/m/n/12 fourier_cn [196]./cascmd_en.tex:18660: Warning: Undefined label: 'sec:maxnormv' [197] Overfull \hbox (3.54485pt too wide) in paragraph at lines 9222--9228 \T1/pcr/m/n/10.95 fourier_cn(expr,x,T,n,a) \T1/ptm/m/n/10.95 re-turns the Fouri er co-ef-fi-cient $\OML/cmm/m/it/10.95 c[]$ \T1/ptm/m/n/10.95 of a function$\OM L/cmm/m/it/10.95 f$ [198] Overfull \hbox (41.86461pt too wide) in paragraph at lines 9267--9267 \T1/pcr/m/n/10.95 ((2*i)*pi[][]^[]2*n[][]^[]2*exp((-i)*n*2*pi)+2*pi*n*exp((-i) *n*2*pi)+ [199] Overfull \hbox (106.46944pt too wide) in paragraph at lines 9312--9313 \T1/pcr/m/n/10.95 pi*(5*i*exp(5*i*s)+(-21*i)*exp((-3*i)*s)+16*i*exp((-2*i)*s)) *sign(s)/56 [200] LaTeX Warning: Reference `eq:fourier-def' on page 201 undefined on input line 9 338. [201] [202] Overfull \hbox (21.05954pt too wide) in paragraph at lines 9505--9506 \T1/pcr/m/n/10.95 x*Heaviside(x)*exp(-x)-x*Heaviside(-x)*exp(x)+exp(-abs(x)) [203] Overfull \hbox (14.48955pt too wide) in paragraph at lines 9528--9529 \T1/pcr/m/n/10.95 Heaviside(x+1)-Heaviside(x-1)+Heaviside(x-1)*exp(-2*x+2)+ [204]./cascmd_en.tex:18925: Warning: Undefined label: 'sec:compagne' [205] [206] Overfull \hbox (7.24951pt too wide) in paragraph at lines 9683--9692 \T1/ptm/m/n/10.95 Hence, the co-ef-fi-cients of $\OML/cmm/m/it/10.95 P$ \T1/ptm /m/n/10.95 are [0,1,1,0], $\OML/cmm/m/it/10.95 N \OT1/cmr/m/n/10.95 = 4$ \T1/pt m/m/n/10.95 and $\OML/cmm/m/it/10.95 ! \OT1/cmr/m/n/10.95 = [](2\OML/cmm/m/it/1 0.95 i^^Y=\OT1/cmr/m/n/10.95 4) = [207] [208] Underfull \hbox (badness 10000) in paragraph at lines 9766--9768 [209] Overfull \hbox (21.59802pt too wide) in paragraph at lines 9780--9785 \T1/ptm/m/n/10.95 Therefore, if $\OML/cmm/m/it/10.95 m \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 is a mul-ti-ple of $\OML/cmm/m/it/10.9 5 N$ \T1/ptm/m/n/10.95 ($\OML/cmm/m/it/10.95 m \OT1/cmr/m/n/10.95 = \OML/cmm/m/ it/10.95 n \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 l \OMS/cmsy/m/n/10.95 ^^A \ OML/cmm/m/it/10.95 N$\T1/ptm/m/n/10.95 ) then $[][] \OML/cmm/m/it/10.95 ![] \OT 1/cmr/m/n/10.95 = Underfull \hbox (badness 10000) in paragraph at lines 9795--9797 Overfull \hbox (48.4346pt too wide) in paragraph at lines 9803--9803 \T1/pcr/m/n/10.95 x={2,sqrt(2)/2,-1,(-sqrt(2)/2,0,(-sqrt(2))/2,-1,sqrt(2)/2} [210] [211] Overfull \hbox (7.91956pt too wide) in paragraph at lines 9874--9883 \T1/pcr/m/n/10.95 q:=[20.25,-4.48115530061+1.72227182413*i,-0.375+0.875*i, Overfull \hbox (34.19952pt too wide) in paragraph at lines 9919--9920 \T1/pcr/m/n/10.95 2.0*re(q[0]/2+q[1]*t0(1)+q[2]*t0(2)+q[3]*t0(3)+q[4]/2*t0(4)) [212] [213] [214] Overfull \hbox (6.2986pt too wide) in paragraph at lines 10017--10017 []\T1/ptm/b/n/12 Audio clip prop-er-ties : \T1/pcr/m/n/12 channels[]\T1/ptm/b/n /12 , \T1/pcr/m/n/12 bit_depth[]\T1/ptm/b/n/12 , \T1/pcr/m/n/12 samplerate[]\T1 /ptm/b/n/12 , Overfull \hbox (26.70123pt too wide) in paragraph at lines 10030--10031 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains a WAV file \T1/pcr/m/n/10.95 example.wav [215] Overfull \hbox (29.43872pt too wide) in paragraph at lines 10041--10042 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains a WAV file \T1/pcr/m/n/10.95 example.wav\ T1/ptm/m/n/10.95 . Overfull \hbox (26.41708pt too wide) in paragraph at lines 10061--10062 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains two files, \T1/pcr/m/n/10.95 example1.wav ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [216] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [217] LaTeX Warning: Reference `sec:boxcar' on page 218 undefined on input line 10132 . [218] LaTeX Warning: Reference `sec:tri' on page 219 undefined on input line 10151. LaTeX Warning: Reference `sec:rect' on page 219 undefined on input line 10156. [219]./cascmd_en.tex:19388: Warning: \displaystyle ignored Overfull \hbox (0.93288pt too wide) detected at line 10213 \OT1/cmr/bx/n/10.95 v[] \OT1/cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 v[]; v[]; [] ; v[]; []\OT1/cmr/m/n/10.95 ] [] \OT1/cmr/bx/n/10.95 w[] \OT1/cmr/m/n/10.95 = [ []\OML/cmm/m/it/10.95 ; w[]; w[]; [] ; w[]\OT1/cmr/m/n/10.95 ]\OML/cmm/m/it/10. 95 : LaTeX Warning: Reference `sec:crosscorr' on page 220 undefined on input line 10 237. [220] Overfull \hbox (93.32945pt too wide) in paragraph at lines 10278--10279 \T1/pcr/m/n/10.95 2*Heaviside(t)*((t+1)*ln(abs(sqrt(t)-sqrt(t+1))/(sqrt(t)+sqr t(t+1)))+ [221] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [222] ( FP-DIV ) ( FP-DIV ) [223] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10348--10348 []\T1/pcr/m/n/10.95 data:=0.5*threshold(3*sin(2*pi*220*snd),[-1.0,1.0])+noise: ; ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.76451pt too wide) in paragraph at lines 10373--10374 \T1/ptm/m/n/10.95 Bound spec-i-fi-ca-tion may be ei-ther a sin-gle real num-ber $\OML/cmm/m/it/10.95 b$ \T1/ptm/m/n/10.95 (or an equa-tion \T1/pcr/m/n/10.95 b =value\T1/ptm/m/n/10.95 ) [224] [225] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10436--10437 \T1/pcr/m/n/10.95 threshold([-120,-11,-3,0,7,27,111,234],[-100=-inf,100=inf]) Overfull \hbox (14.48955pt too wide) in paragraph at lines 10445--10445 \T1/pcr/m/n/10.95 data:=threshold(3*sin(2*pi*440*soundsec(2)),[-1.0,1.0]):; ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.41428pt too wide) in paragraph at lines 10460--10460 []\T1/ptm/b/n/12 Bartlett-Hann win-dow func-tion : \T1/pcr/m/n/12 bartlett_hann _window[] [226] Overfull \hbox (33.15404pt too wide) in paragraph at lines 10469--10469 []\T1/ptm/b/n/12 Blackman-Harris win-dow func-tion : \T1/pcr/m/n/12 blackman_ha rris_window[] [227] [228] [229] [230] [231] [232] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [233] [234] [235] Underfull \hbox (badness 10000) in paragraph at lines 10763--10770 [236] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10844--10844 \T1/pcr/m/n/10.95 r2e(%%%{1,[2,0]%%%}+%%%{-1,[1,1]%%%}+%%%{2,[0,1]%%%},[x,y]) [237]./cascmd_en.tex:20085: Warning: \displaystyle ignored ./cascmd_en.tex:20097: Warning: \displaystyle ignored ./cascmd_en.tex:20107: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20110: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20110: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20111: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20120: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20123: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20123: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20128: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20131: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20132: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20132: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20132: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20133: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20143: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20147: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20147: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20148: Warning: \overrightarrow outside display mode ./cascmd_en.tex:20148: Warning: \overrightarrow outside display mode Overfull \hbox (67.04948pt too wide) in paragraph at lines 10846--10846 \T1/pcr/m/n/10.95 poly2symb(%%%{1,[2,0]%%%}+%%%{-1,[1,1]%%%}+%%%{2,[0,1]%%%},[ x,y]) [238] [239] [240] [241] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11042. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 11042. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11042. [242] [243] Overfull \hbox (35.29462pt too wide) in paragraph at lines 11121--11122 []\T1/pcr/m/n/10.95 13*sqrt(5)-15)*(-x+1)*((sqrt(5)+15)*x+7*sqrt(5)-5))/6820 LaTeX Warning: Reference `sec:factore' on page 244 undefined on input line 1113 4. [244] Overfull \hbox (7.91956pt too wide) in paragraph at lines 11155--11156 []\T1/pcr/m/n/10.95 7*sqrt(5)-5)*(-x+1)*((sqrt(5)+25)*x-13*sqrt(5)-15))/6820 [245] [246] Overfull \hbox (31.75977pt too wide) in paragraph at lines 11233--11241 \T1/ptm/m/n/10.95 Let $\OML/cmm/m/it/10.95 P$ \T1/ptm/m/n/10.95 and $\OML/cmm/m /it/10.95 Q$ \T1/ptm/m/n/10.95 be two poly-no-mi-als given by the list of their co-ef-fi-cients then \T1/pcr/m/n/10.95 rootof(P,Q) Overfull \hbox (25.26865pt too wide) in paragraph at lines 11248--11251 $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10. 95 ) = \OML/cmm/m/it/10.95 x$ \T1/ptm/m/n/10.95 is rep-re-sented by [1,0] and $ \OML/cmm/m/it/10.95 $ \T1/ptm/m/n/10.95 by \T1/pcr/m/n/10.95 rootof([1,0],[1,0 ,10,0,1])\T1/ptm/m/n/10.95 . [247]./cascmd_en.tex:20365: Warning: Undefined label: 'sec:rrefm' Overfull \hbox (15.58464pt too wide) in paragraph at lines 11285--11285 \T1/pcr/m/n/10.95 [[(-1+(i)*sqrt(3))/2,1],[(-1-(i)*sqrt(3))/2,1],[1,1]] [248] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11300. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11300. Overfull \hbox (44.45795pt too wide) in paragraph at lines 11317--11317 []\T1/ptm/b/n/12 Convert a se-ries ex-pan-sion into a poly-no-mial : \T1/pcr/m/ n/12 convert convertir [249]./cascmd_en.tex:20416: Warning: Undefined label: 'sec:rrefm' LaTeX Warning: Reference `sec:ranm2' on page 250 undefined on input line 11373. [250] [251] Overfull \hbox (1.34956pt too wide) in paragraph at lines 11457--11457 []\T1/pcr/m/n/10.95 -8.96*cos(0.262*x)-0.445*sin(0.785*x)-1.75*sin(0.524*x) [252] [253] [254] [255] Overfull \hbox (7.91956pt too wide) in paragraph at lines 11642--11642 []\T1/pcr/m/n/10.95 +9.40462512097)/(x[][]^[]6-1.24295718965*x[][]^[]5-1.33526 268624*x[][]^[]4 [256] [257] [258] LaTeX Warning: Reference `sec:igcd' on page 259 undefined on input line 11770. [259] Overfull \hbox (23.60124pt too wide) in paragraph at lines 11810--11810 []\T1/ptm/b/n/12 Choosing the GCD al-go-rithm of two poly-no-mi-als : \T1/pcr/m /n/12 ezgcd heugcd [260] [261] LaTeX Warning: Reference `sec:ilcm' on page 262 undefined on input line 11859. Overfull \hbox (4.5433pt too wide) in paragraph at lines 11872--11876 \T1/ptm/m/n/10.95 This func-tion com-putes the poly-no-mial co-ef-fi-cients of Bé-zout's Iden-tity (also known [262] [263] [264] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. [265] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12020. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12020. [266./cascmd_en.tex:21179: Warning: Undefined label: 'kovacic-ode' ./cascmd_en.tex:21183: Warning: Undefined label: 'kovacic-ode' ]./cascmd_en.tex:21185: Warning: Undefined label: 'kovacic-ode' ./cascmd_en.tex:21185: Warning: Undefined label: 'kovacic-ode' ./cascmd_en.tex:21189: Warning: Undefined label: 'kovacic-ode' ./cascmd_en.tex:21189: Warning: Undefined label: 'kovacic-ode' [267] Overfull \hbox (5.11366pt too wide) in paragraph at lines 12095--12106 \T1/ptm/m/n/10.95 the sec-ond term gives the Sturm se-quence of the nu-mer-a-to r (here \T1/pcr/m/n/10.95 3x[][]^[]3+1, 9x[][]^[]2, Overfull \hbox (45.35365pt too wide) in paragraph at lines 12115--12122 \T1/ptm/m/n/10.95 ma-trix $\OML/cmm/m/it/10.95 S$ \T1/ptm/m/n/10.95 is a square ma-trix of size \T1/pcr/m/n/10.95 m+n \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.9 5 m=degree(B(x)) \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 n=degree(A(x))\T1/ptm/ m/n/10.95 . Overfull \hbox (10.21689pt too wide) detected at line 12127 [] Overfull \hbox (16.61528pt too wide) detected at line 12134 [] [268]./cascmd_en.tex:21259: Warning: Undefined label: 'kovacic-reduction' ./cascmd_en.tex:21279: Warning: Undefined label: 'kovacic-reduction' Overfull \hbox (10.21689pt too wide) detected at line 12158 [] Overfull \hbox (16.61528pt too wide) detected at line 12165 [] Overfull \hbox (27.27675pt too wide) in paragraph at lines 12169--12172 \T1/ptm/m/n/10.95 has a unique so-lu-tion $\OML/cmm/m/it/10.95 U; V$ \T1/ptm/m/ n/10.95 such that degree$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 U\OT1/cmr/m/n/ 10.95 ) \OML/cmm/m/it/10.95 <$\T1/ptm/m/n/10.95 degree$\OT1/cmr/m/n/10.95 (\OML /cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 and degree$\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 V\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 <$\T1/pt m/m/n/10.95 degree$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 )$\T1/ptm/m/n/10.95 , [269] Underfull \hbox (badness 10000) in paragraph at lines 12221--12222 Overfull \hbox (11.34956pt too wide) in paragraph at lines 12223--12224 []$ [270] Underfull \hbox (badness 10000) in paragraph at lines 12263--12265 [271] [272] Overfull \hbox (130.49303pt too wide) detected at line 12344 \OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (0\OML/cmm/m/it/10.95 ; a; x\OT1/cmr/m/ n/10.95 ) = 1\OML/cmm/m/it/10.95 ; L\OT1/cmr/m/n/10.95 (1\OML/cmm/m/it/10.95 ; a; x\OT1/cmr/m/n/10.95 ) = 1 + \OML/cmm/m/it/10.95 a \OMS/cmsy/m/n/10.95 ^^@ \ OML/cmm/m/it/10.95 x; L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n; a; x\OT1/cmr /m/n/10.95 ) = []\OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; a; x\OT1/cmr /m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 2\OML/cmm/m/i t/10.95 ; a; x\OT1/cmr/m/n/10.95 ) [273] [274] [275] [276] Underfull \hbox (badness 10000) in paragraph at lines 12490--12498 LaTeX Warning: Reference `sec:gbasis' on page 277 undefined on input line 12499 . LaTeX Warning: Reference `sec:gbasis' on page 277 undefined on input line 12518 . [277] [278]./cascmd_en.tex:22146: Warning: Undefined label: 'sec:plotfunc3' ./cascmd_en.tex:22163: Warning: Undefined label: 'sec:plotfunc3d' ./cascmd_en.tex:22166: Warning: Undefined label: 'sec:plotfunc3' LaTeX Warning: Reference `sec:inumer' on page 279 undefined on input line 12618 . LaTeX Warning: Reference `sec:idenom' on page 279 undefined on input line 12645 . [279] LaTeX Warning: Reference `sec:ifxnd' on page 280 undefined on input line 12658. LaTeX Warning: Reference `sec:isimp2' on page 280 undefined on input line 12670 . [280] LaTeX Warning: Reference `sec:convert' on page 281 undefined on input line 1271 0. Overfull \hbox (2.48633pt too wide) in paragraph at lines 12705--12713 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 partfrac \T1/ptm/m/n/10.95 com-mand is equiv-a-lent to the \T1/pcr/m/n/10.95 convert \T1/ptm/m/n/10.95 com-mand with \ T1/pcr/m/n/10.95 parfrac Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12723. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12723. [281] Overfull \hbox (10.2822pt too wide) in paragraph at lines 12743--12743 []\T1/ptm/b/n/12 Exact bounds for com-plex roots of a poly-no-mial : \T1/pcr/m/ n/12 complexroot Underfull \hbox (badness 10000) in paragraph at lines 12761--12765 Overfull \hbox (60.47949pt too wide) in paragraph at lines 12769--12769 \T1/pcr/m/n/10.95 [[-1,1],[[(4-7*i)/8,(8-13*i)/16],1],[[(8+13*i)/16,(4+7*i)/8] ,1]] [282] [283./cascmd_en.tex:22518: Warning: Undefined label: 'sec:plotfunc3' ]./cascmd_en.tex:22626: Warning: Undefined label: 'ssec:confgraph' Overfull \hbox (33.69386pt too wide) in paragraph at lines 12853--12853 []\T1/ptm/b/n/12 Exact bounds for pos-i-tive real roots of a poly-no-mial: \T1/ pcr/m/n/12 VAS_positive Underfull \hbox (badness 10000) in paragraph at lines 12854--12859 [284] Overfull \hbox (35.85301pt too wide) in paragraph at lines 12929--12929 []\T1/ptm/b/n/12 A lower bound for the pos-i-tive real roots of a poly-no-mial: \T1/pcr/m/n/12 poslbdLMQ Overfull \hbox (4.99028pt too wide) in paragraph at lines 12966--12966 []\T1/ptm/b/n/12 Exact val-ues of ra-tio-nal roots of a poly-no-mial : \T1/pcr/ m/n/12 rationalroot [285] [286]./cascmd_en.tex:22829: Warning: Undefined label: 'ssec:odesolve' [287]./cascmd_en.tex:22873: Warning: Undefined label: 'sec:plot2d' ./cascmd_en.tex:22889: Warning: Undefined label: 'sec:plotfunc3' Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13055. 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Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13214. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13214. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13214. Overfull \hbox (21.05954pt too wide) in paragraph at lines 13226--13226 \T1/pcr/m/n/10.95 (6%13)*x[][]^[]5+(2%13)*x[][]^[]4+(2%13)*x[][]^[]3+(1%13)*x[ ][]^[]2+(-3%13)*x+1%13 Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\nonscript' on input line 13230. 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[292] Overfull \hbox (31.98335pt too wide) in paragraph at lines 13252--13252 []\T1/ptm/b/n/12 Rebuild a frac-tion from its value mod-ulo $\OML/cmm/m/it/12 p $ \T1/ptm/b/n/12 : \T1/pcr/m/n/12 fracmod iratrecon Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13252. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13252. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13272. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13272. LaTeX Warning: Reference `sec:gcd' on page 293 undefined on input line 13277. [293] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13292. 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LaTeX Warning: Reference `sec:rref' on page 295 undefined on input line 13339. [295] Overfull \hbox (8.43124pt too wide) in paragraph at lines 13370--13373 []\T1/ptm/m/n/10.95 an ir-re-ducible prim-i-tive min-i-mal poly-no-mial gen-er- at-ing an ideal $\OML/cmm/m/it/10.95 I$ \T1/ptm/m/n/10.95 in $\U/msb/m/n/10.95 Z\OML/cmm/m/it/10.95 =p\U/msb/m/n/10.95 Z\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.9 5 X\OT1/cmr/m/n/10.95 ]$\T1/ptm/m/n/10.95 , [296] Underfull \hbox (badness 10000) in paragraph at lines 13434--13437 Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13446. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13446. [297] [298] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13491. 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[301] [302] [303] Overfull \hbox (2.44466pt too wide) in paragraph at lines 13702--13702 \T1/pcr/m/n/10.95 1/4+(-(4*sqrt(3)))/4*(x-pi/6)+(4*3-4)/4*(x-pi/6)[][]^[]2+ Overfull \hbox (9.01465pt too wide) in paragraph at lines 13702--13702 \T1/pcr/m/n/10.95 32*sqrt(3)/3/4*(x-pi/6)[][]^[]3+(-16*3+16)/3/4*(x-pi/6)[][]^ []4+ Overfull \hbox (1.43379pt too wide) in paragraph at lines 13707--13710 []\T1/ptm/m/n/10.95 Find a 5th-order se-ries ex-pan-sion of $[]\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 in the vicin-i ty of \T1/pcr/m/n/10.95 x=+$\OMS/cmsy/m/n/10.95 1$\T1/ptm/m/n/10.95 . Overfull \hbox (1.15045pt too wide) in paragraph at lines 13714--13718 \T1/ptm/m/n/10.95 Note that the ex-pan-sion vari-able and the ar-gu-ment of the \T1/pcr/m/n/10.95 order_size [304] [305] [306] Overfull \hbox (7.91956pt too wide) in paragraph at lines 13829--13829 \T1/pcr/m/n/10.95 1+x+1/2*x[][]^[]2+1/6*x[][]^[]3+1/24*x[][]^[]4+1/120*x[][]^[ ]5+x[][]^[]6*order_size(x) [307] [308] [309] Overfull \hbox (53.0119pt too wide) in paragraph at lines 13970--13973 \T1/ptm/m/n/10.95 If $\OML/cmm/m/it/10.95 a > b$\T1/ptm/m/n/10.95 , then \T1/pc r/m/n/10.95 i[a,b] \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10.95 i[evalf(b,15)-e psilon,evalf(a,15)+epsilon]\T1/ptm/m/n/10.95 . [310] [311] [312]./cascmd_en.tex:24327: Warning: Undefined label: 'sec:ranm1' ./cascmd_en.tex:24327: Warning: Undefined label: 'sec:ranm2' [313] [314] LaTeX Warning: Reference `sec:seq' on page 315 undefined on input line 14300. [315] [316] [317] [318] [319] [320] [321] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14588. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14588. Overfull \hbox (7.91956pt too wide) in paragraph at lines 14596--14597 \T1/pcr/m/n/10.95 set[tuple[1,3,4],tuple[1,3,5],tuple[2,3,4],tuple[2,3,5]] Overfull \hbox (7.91956pt too wide) in paragraph at lines 14621--14623 \T1/pcr/m/n/10.95 set[tuple[1,3,5],tuple[1,3,6],tuple[1,4,5],tuple[1,4,6], [322] LaTeX Warning: Reference `ssec:makelist' on page 323 undefined on input line 14 702. [323] LaTeX Warning: Reference `ssec:subsop' on page 324 undefined on input line 1472 0. [324] LaTeX Warning: Reference `ssec:mat2list' on page 325 undefined on input line 14 830. LaTeX Warning: Reference `sec:mid' on page 325 undefined on input line 14854. [325] Overfull \hbox (61.73636pt too wide) in paragraph at lines 14861--14864 \T1/pcr/m/n/10.95 at \T1/ptm/m/n/10.95 can not be used for se-quences, in-dex n o-ta-tion must be used, as in \T1/pcr/m/n/10.95 (0,1,2,3,4,5)[2..3]\T1/ptm/m/n/ 10.95 . LaTeX Warning: Reference `sec:at' on page 326 undefined on input line 14867. [326] Overfull \hbox (16.01051pt too wide) in paragraph at lines 14947--14949 \T1/pcr/m/n/10.95 l:=tail([0,1,2,3]) \T1/ptm/m/n/10.95 does the same thing as \ T1/pcr/m/n/10.95 l:=suppress([0,1,2,3],0) Underfull \hbox (badness 10000) in paragraph at lines 14947--14949 [327] [328] [329] LaTeX Warning: Reference `sec:op' on page 330 undefined on input line 15069. [330] Overfull \hbox (23.86581pt too wide) in paragraph at lines 15117--15117 []\T1/ptm/b/n/12 Concatenate two lists or a list and an el-e-ment : \T1/pcr/m/n /12 concat augment [331] [332] [333] [334] [335] [336] [337] [338] LaTeX Warning: Reference `sec:product' on page 339 undefined on input line 1541 8. LaTeX Warning: Reference `sec:product1' on page 339 undefined on input line 154 18. LaTeX Warning: Reference `sec:product2' on page 339 undefined on input line 154 19. Overfull \hbox (2.9695pt too wide) in paragraph at lines 15422--15427 \T1/pcr/m/n/10.95 product(expr,var,a,b,p) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.9 5 mul(expr,var,a,b,p) \T1/ptm/m/n/10.95 re-turns the prod- [339] LaTeX Warning: Reference `sec:product0' on page 340 undefined on input line 154 44. LaTeX Warning: Reference `sec:product1' on page 340 undefined on input line 154 44. LaTeX Warning: Reference `sec:product2' on page 340 undefined on input line 154 44. [340] [341] Overfull \hbox (95.50632pt too wide) in paragraph at lines 15514--15517 \T1/ptm/m/n/10.95 Note that if \T1/pcr/m/n/10.95 l1,l2,l3 \T1/ptm/m/n/10.95 are lists \T1/pcr/m/n/10.95 sizes([l1,l2,l3]) \T1/ptm/m/n/10.95 is equiv-a-lent to \T1/pcr/m/n/10.95 map(size,[l1,l2,l3])\T1/ptm/m/n/10.95 . [342] [343] [344] LaTeX Warning: Reference `sec:ranm1' on page 345 undefined on input line 15693. [345] [346] [347] [348] [349]./cascmd_en.tex:26072: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26074: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26080: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26082: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26082: Warning: Undefined label: 'eq:kde1' ./cascmd_en.tex:26083: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26084: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26084: Warning: Application of '\^' on 'f' failed Overfull \hbox (4.6312pt too wide) in paragraph at lines 15878--15878 []\T1/ptm/b/n/12 Scalar prod-uct : \T1/pcr/m/n/12 scalar_product * dotprod dot dotP [350]./cascmd_en.tex:26096: Warning: Application of '\^' on 'f' failed Overfull \hbox (59.75995pt too wide) in paragraph at lines 15916--15916 \T1/pcr/m/n/14.4 stddevp,median,quantile,quartiles,boxwhisker LaTeX Warning: Reference `sec:statmat' on page 351 undefined on input line 1592 0. Overfull \hbox (246.52844pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.45. STATISTICS FUNCTIONS : \T1/pcr/m/n/10.95 MEAN,VARIANC E,STDDEV, STDDEVP,MEDIAN,QUANTILE,QUARTILES,BOXWHISKER \T1/ptm/m/n/10.95 351 [351] [352] Overfull \hbox (52.2863pt too wide) in paragraph at lines 16016--16029 \T1/pcr/m/n/10.95 table \T1/ptm/m/n/10.95 takes as ar-gu-ment a list or a se-qu ence of equal-i-ties \T1/pcr/m/n/10.95 index_name=element_value\T1/ptm/m/n/10.9 5 . Overfull \hbox (246.52844pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.45. STATISTICS FUNCTIONS : \T1/pcr/m/n/10.95 MEAN,VARIANC E,STDDEV, STDDEVP,MEDIAN,QUANTILE,QUARTILES,BOXWHISKER \T1/ptm/m/n/10.95 353 [353] [354] LaTeX Warning: Reference `sec:ranm1' on page 355 undefined on input line 16085. LaTeX Warning: Reference `sec:ranm4' on page 355 undefined on input line 16085. [355] Overfull \hbox (53.9095pt too wide) in paragraph at lines 16107--16107 \T1/pcr/m/n/10.95 [[1.83785427742,0.793007112053,-0.978388964902,-1.8860202385 7], Overfull \hbox (60.47949pt too wide) in paragraph at lines 16107--16107 \T1/pcr/m/n/10.95 [-1.50900874199,-0.241173369698,0.311373795585,-0.5327524314 54]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 16111--16112 \T1/pcr/m/n/10.95 [[2.00549363438,3.03381264955,2.06539073586,2.04844321217], Overfull \hbox (21.05954pt too wide) in paragraph at lines 16111--16112 \T1/pcr/m/n/10.95 [3.88383254968,3.28664474655,3.76909781061,2.39113253355]] Overfull \hbox (6.13066pt too wide) in paragraph at lines 16115--16115 []\T1/ptm/b/n/12 Diagonal of a ma-trix or ma-trix of a di-ag-o-nal : \T1/pcr/m/ n/12 BlockDiagonal [356] [357]./cascmd_en.tex:26597: Warning: Command not found: \alpha* [358] [359] [360] [361] Overfull \hbox (51.9962pt too wide) in paragraph at lines 16458--16462 []\T1/ptm/m/n/10.95 Larger parts of a ma-trix can be changed si-mul-ta-ne-ously . Let-ting \T1/pcr/m/n/10.95 A := [[4,5],[2,6]] [362] [363] Overfull \hbox (10.65373pt too wide) in paragraph at lines 16578--16578 []\T1/ptm/b/n/12 Cumulated sum of el-e-ments of each col-umn of a ma-trix : \T1 /pcr/m/n/12 cumSum Overfull \hbox (10.24542pt too wide) in paragraph at lines 16588--16588 []\T1/ptm/b/n/12 Multiplication of el-e-ments of each col-umn of a ma-trix : \T 1/pcr/m/n/12 product LaTeX Warning: Reference `sec:product' on page 364 undefined on input line 1659 1. LaTeX Warning: Reference `sec:product2' on page 364 undefined on input line 165 92. [364] LaTeX Warning: Reference `sec:product' on page 365 undefined on input line 1661 7. LaTeX Warning: Reference `sec:product1' on page 365 undefined on input line 166 17. [365]./cascmd_en.tex:26961: Warning: Undefined label: 'tab:bvp' [366] [367] [368] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16778--16782 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [369] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16794--16798 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16808--16812 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16824--16828 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16837--16841 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [370]./cascmd_en.tex:27209: Warning: Undefined label: 'sec:factormatrice' Overfull \hbox (4.4025pt too wide) in paragraph at lines 16851--16855 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [371] [372] [373] [374] Overfull \hbox (9.29686pt too wide) in paragraph at lines 17084--17084 []\T1/ptm/b/n/12 Add $\OML/cmm/m/it/12 k$ \T1/ptm/b/n/12 times a row to an an-o ther row : \T1/pcr/m/n/12 mRowAdd, scaleadd, Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 17084. 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[375] [376] [377] [378] Overfull \hbox (14.48955pt too wide) in paragraph at lines 17234--17235 \T1/pcr/m/n/10.95 border(A,b)=tran([op(tran(A)),b])=tran(append(tran(A),b)) Overfull \hbox (30.02687pt too wide) in paragraph at lines 17246--17255 \T1/pcr/m/n/10.95 count \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10.95 f(A[0,0])+ ..f(A[p-1,q-1]) \T1/ptm/m/n/10.95 (resp. \T1/pcr/m/n/10.95 f(l[0])+..f(l[n-1])\ T1/ptm/m/n/10.95 ) [379]./cascmd_en.tex:27609: Warning: Undefined label: 'sec:debug' [380] Overfull \hbox (8.78134pt too wide) in paragraph at lines 17294--17294 []\T1/ptm/b/n/12 Statistics func-tions act-ing on col-umn ma-tri-ces : \T1/pcr/ m/n/12 mean\T1/ptm/b/n/12 , \T1/pcr/m/n/12 stddev\T1/ptm/b/n/12 , Overfull \hbox (4.89598pt too wide) in paragraph at lines 17294--17294 \T1/pcr/m/n/12 variance\T1/ptm/b/n/12 , \T1/pcr/m/n/12 median\T1/ptm/b/n/12 , \ T1/pcr/m/n/12 quantile\T1/ptm/b/n/12 , \T1/pcr/m/n/12 quartiles\T1/ptm/b/n/12 , \T1/pcr/m/n/12 boxwhisker Overfull \hbox (35.29462pt too wide) in paragraph at lines 17325--17325 \T1/pcr/m/n/10.95 median([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], [381] Overfull \hbox (48.4346pt too wide) in paragraph at lines 17331--17331 \T1/pcr/m/n/10.95 quantile([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], Overfull \hbox (22.15463pt too wide) in paragraph at lines 17331--17331 \T1/pcr/m/n/10.95 [3,4,2,5,6,0,1],[4,2,5,6,0,1,3],[2,5,6,0,1,3,4]],0.25) Overfull \hbox (48.4346pt too wide) in paragraph at lines 17335--17335 \T1/pcr/m/n/10.95 quantile([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], Overfull \hbox (22.15463pt too wide) in paragraph at lines 17335--17335 \T1/pcr/m/n/10.95 [3,4,2,5,6,0,1],[4,2,5,6,0,1,3],[2,5,6,0,1,3,4]],0.75) Overfull \hbox (55.0046pt too wide) in paragraph at lines 17343--17343 \T1/pcr/m/n/10.95 quartiles([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], [382] [383]./cascmd_en.tex:27764: Warning: Undefined label: 'sec:polynomials' Overfull \hbox (40.76952pt too wide) in paragraph at lines 17434--17435 \T1/pcr/m/n/10.95 [[1,0,0,0,0],[0,2,0,0,0],[0,0,3,0,0],[0,0,0,4,0],[0,0,0,0,5] ] [384]./cascmd_en.tex:27898: Warning: Undefined label: 'ssec:assignmentdiffs' [385] [386] [387]./cascmd_en.tex:28105: Warning: Undefined label: 'subsec:piecewise' [388]./cascmd_en.tex:28108: Warning: Undefined label: 'sec:boolean' [389] [390] [391] [392] [393] Overfull \hbox (8.6376pt too wide) in paragraph at lines 17899--17900 \T1/ptm/m/n/10.95 max-i-mized or min-i-mized sub-ject to lin-ear (in)equality c on-straints), as well as (mixed) Overfull \hbox (30.99112pt too wide) in paragraph at lines 17908--17909 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_nonnegative\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_integer \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 integer\T1 /ptm/m/n/10.95 ), \T1/pcr/m/n/10.95 lp_binary Overfull \hbox (28.33032pt too wide) in paragraph at lines 17912--17913 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 exact\T1/ptm/m/n/10.95 , \T1/pc r/m/n/10.95 float\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_simplex \T1/ptm/m/n/1 0.95 or \T1/pcr/m/n/10.95 lp_interiorpoint [394] Overfull \hbox (47.89798pt too wide) in paragraph at lines 17919--17920 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_depthfirst\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_breadthfirst\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_hyb rid Overfull \hbox (25.97609pt too wide) in paragraph at lines 17920--17921 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_firstfractional\T1/ptm/m/n/1 0.95 , \T1/pcr/m/n/10.95 lp_lastfractional\T1/ptm/m/n/10.95 , Overfull \hbox (3.2868pt too wide) in paragraph at lines 17920--17921 \T1/pcr/m/n/10.95 lp_mostfractional \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 lp_p seudocost \T1/ptm/m/n/10.95 (branch-ing vari-able se- Overfull \hbox (0.5381pt too wide) in paragraph at lines 17927--17928 \T1/ptm/m/n/10.95 the op-tion \T1/pcr/m/n/10.95 lp_maximize=true \T1/ptm/m/n/10 .95 or \T1/pcr/m/n/10.95 lp_maximize \T1/ptm/m/n/10.95 or sim-ply \T1/pcr/m/n/1 0.95 maximize\T1/ptm/m/n/10.95 . Also LaTeX Warning: Reference `eq:lpexample' on page 395 undefined on input line 179 30. [395] [396] Overfull \hbox (8.43135pt too wide) in paragraph at lines 18012--18013 \T1/ptm/m/n/10.95 called (\T1/ptm/m/it/10.95 mixed\T1/ptm/m/n/10.95 ) \T1/ptm/m /it/10.95 in-te-ger pro-gram-ming prob-lems\T1/ptm/m/n/10.95 , are solved by ap -ply-ing branch&bound [397] Overfull \hbox (34.536pt too wide) in paragraph at lines 18078--18079 \T1/ptm/m/n/10.95 to stop pre-ma-turely when the ex-e-cu-tion takes too much ti me. One can set \T1/pcr/m/n/10.95 lp_timelimit Overfull \hbox (17.59721pt too wide) in paragraph at lines 18078--18079 \T1/ptm/m/n/10.95 find an op-ti-mal so-lu-tion. Other ways are to set \T1/pcr/m /n/10.95 lp_nodelimit \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 lp_depthlimit [398] Overfull \hbox (37.48225pt too wide) in paragraph at lines 18092--18093 \T1/ptm/m/n/10.95 egy is \T1/pcr/m/n/10.95 lp_hybrid \T1/ptm/m/n/10.95 : be-for e an in-cum-bent so-lu-tion is found, solver uses \T1/pcr/m/n/10.95 lp_depthfir st [399] Overfull \hbox (34.38353pt too wide) in paragraph at lines 18114--18116 \T1/ptm/m/n/10.95 fore an op-ti-mal so-lu-tion is found. When \T1/pcr/m/n/10.95 lp_nodeselect \T1/ptm/m/n/10.95 is set to \T1/pcr/m/n/10.95 lp_breadthfirst Overfull \hbox (24.72533pt too wide) in paragraph at lines 18114--18116 \T1/ptm/m/n/10.95 the solver needs to ex-am-ine only about 20000 sub-prob-lems, but when set to \T1/pcr/m/n/10.95 lp_hybrid Overfull \hbox (30.24437pt too wide) in paragraph at lines 18121--18122 []\T1/ptm/b/n/10.95 Displaying de-tailed out-put.[] \T1/ptm/m/n/10.95 By typ-i ng \T1/pcr/m/n/10.95 lp_verbose=true \T1/ptm/m/n/10.95 or sim-ply \T1/pcr/m/n/1 0.95 lp_verbose Overfull \hbox (60.47949pt too wide) in paragraph at lines 18124--18124 []\T1/pcr/m/n/10.95 : nodes active, lower bound: [, integrality gap: ][] [400] Overfull \hbox (73.61948pt too wide) in paragraph at lines 18143--18143 []\T1/pcr/m/n/10.95 Applying branch&bound method to find integer feasible solut ions...[] Overfull \hbox (1.76942pt too wide) in paragraph at lines 18155--18156 []\T1/ptm/m/n/10.95 Specifying \T1/pcr/m/n/10.95 lp_method=float \T1/ptm/m/n/10 .95 forces \T1/pcr/m/n/10.95 lpsolve \T1/ptm/m/n/10.95 to use floating-point so lver. Overfull \hbox (42.39888pt too wide) in paragraph at lines 18155--18156 \T1/ptm/m/n/10.95 plex solver pa-ram-e-ters can be con-trolled by set-ting \T1/ pcr/m/n/10.95 lp_timelimit\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_gaptolerance Overfull \hbox (1.40776pt too wide) in paragraph at lines 18157--18158 []\T1/ptm/m/n/10.95 Setting \T1/pcr/m/n/10.95 lp_method \T1/ptm/m/n/10.95 to \T 1/pcr/m/n/10.95 lp_interiorpoint \T1/ptm/m/n/10.95 uses primal-dual interior-po int [401] Overfull \hbox (40.76952pt too wide) in paragraph at lines 18178--18179 \T1/pcr/m/n/10.95 [2255937.4968,[x1=688490.254009,x2=2716245.85277,x3=1680.05] ] Overfull \hbox (34.61482pt too wide) in paragraph at lines 18184--18185 \T1/ptm/m/n/10.95 by in-clud-ing \T1/pcr/m/n/10.95 lp_method=lp_interiorpoint \ T1/ptm/m/n/10.95 af-ter \T1/pcr/m/n/10.95 assume=lp_nonnegative \T1/ptm/m/n/10. 95 : Overfull \hbox (35.10065pt too wide) in paragraph at lines 18193--18194 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that \T1/pcr/m/n/10.95 somefile.lp \ T1/ptm/m/n/10.95 file is stored in di-rec-tory \T1/pcr/m/n/10.95 /path/to/file Overfull \hbox (7.91956pt too wide) in paragraph at lines 18215--18215 []\T1/pcr/m/n/10.95 Reading problem data from '/path/to/file/somefile.lp'...[] [402]./cascmd_en.tex:28472: Warning: Undefined label: 'subsec:refassign' Overfull \hbox (1.34956pt too wide) in paragraph at lines 18224--18224 \T1/pcr/m/n/10.95 lpsolve("/path/to/file/somefile.lp",x2=1..8,x3=-10..10, Underfull \hbox (badness 2582) in paragraph at lines 18234--18234 [][][][][][][]\T1/ptm/m/n/9 See \T1/pcr/m/n/9 https://www.gnu.org/software/glpk / \T1/ptm/m/n/9 for in-stalling GLPK in Linux or [403] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18263--18263 []\T1/pcr/m/n/10.95 C:=[[36,40,32,43,29],[28,27,29,40,38],[34,35,41,29,31], [404] [405] [406] Overfull \hbox (77.12352pt too wide) in paragraph at lines 18448--18449 \T1/pcr/m/n/10.95 +infinity \T1/ptm/m/n/10.95 for $\OML/cmm/m/it/10.95 b$\T1/pt m/m/n/10.95 . Also, pa-ram-e-ter \T1/pcr/m/n/10.95 vars \T1/ptm/m/n/10.95 may b e en-tered as e.g. \T1/pcr/m/n/10.95 [x1=a1,x2=a2,...,xn=an]\T1/ptm/m/n/10.95 , [407] [408] Overfull \hbox (5.18549pt too wide) in paragraph at lines 18537--18538 []\T1/ptm/m/n/10.95 The ob-jec-tive is min-i-mized by de-fault, un-less \T1/pcr /m/n/10.95 maximize \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 maximize=true [409] Overfull \hbox (14.48955pt too wide) in paragraph at lines 18551--18552 \T1/pcr/m/n/10.95 [-1.73205080757,[x1=-4.77142305945e-08,x2=1.73205080757]] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18581--18583 \T1/pcr/m/n/10.95 [x1<=1,x2<=2,x3<=3,x4<=4,x5<=5],assume=nlp_nonnegative) [410] LaTeX Warning: Reference `ssec:vectornorms' on page 411 undefined on input line 18620. Overfull \hbox (29.65047pt too wide) in paragraph at lines 18625--18630 \T1/pcr/m/n/10.95 frobenius_norm \T1/ptm/m/n/10.95 re-turns the Frobe-nius norm of the ma-trix; namely $[]$. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 18647. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 18647. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 18647. LaTeX Warning: Reference `sec:l2normv' on page 411 undefined on input line 1864 9. [411]./cascmd_en.tex:29055: Warning: Undefined label: 'sec:2dpoint' Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 18659. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 18659. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\infty' on input line 18659. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 18659. LaTeX Warning: Reference `sec:maxnormv' on page 412 undefined on input line 186 60. [412] Underfull \hbox (badness 10000) in paragraph at lines 18695--18704 Overfull \hbox (9.02397pt too wide) in paragraph at lines 18712--18714 []\T1/pcr/m/n/10.95 matrix_norm(A,inf) \T1/ptm/m/n/10.95 is the same as \T1/pcr /m/n/10.95 linfnorm(A) \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 rownorm(A)\T1/pt m/m/n/10.95 . [413] [414] [415] Overfull \hbox (47.33951pt too wide) in paragraph at lines 18863--18863 \T1/pcr/m/n/10.95 [[0.324869129433,0,0],[0,4.21431974338,0],[0,0,1.46081112719 ]] Overfull \hbox (6.28636pt too wide) in paragraph at lines 18867--18874 \T1/ptm/m/n/10.95 If $\OML/cmm/m/it/10.95 A$ \T1/ptm/m/n/10.95 is a di-ag-o-nal -iz-able ma-trix, \T1/pcr/m/n/10.95 egv \T1/ptm/m/n/10.95 (or \T1/pcr/m/n/10.95 eigenvectors eigenvects eigVc\T1/ptm/m/n/10.95 ) [416] Overfull \hbox (22.15463pt too wide) in paragraph at lines 18923--18923 \T1/pcr/m/n/10.95 [[1,1,2],[0,0,-1],[0,1,2]],[[0,0,-1],[1,0,-3],[0,1,4]] LaTeX Warning: Reference `sec:compagne' on page 417 undefined on input line 189 25. Overfull \hbox (9.01465pt too wide) in paragraph at lines 18932--18932 \T1/pcr/m/n/10.95 [[-1,0,0],[1,1,1],[0,0,1]],[[1,0,0],[0,0,2],[0,1,0]] [417] Overfull \hbox (9.37367pt too wide) in paragraph at lines 18944--18948 \T1/ptm/m/n/10.95 turns or-thog-o-nal eigen-vec-tors (not al-ways of norm equal to 1) i.e. \T1/pcr/m/n/10.95 tran(P)*P Overfull \hbox (41.86461pt too wide) in paragraph at lines 18951--18952 \T1/pcr/m/n/10.95 [[1,-1,1/2],[1,0,-1],[1,1,1/2]],[[6,0,0],[0,3,0],[0,0,3]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 18965--18965 \T1/pcr/m/n/10.95 [[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]] [418] Overfull \hbox (9.37367pt too wide) in paragraph at lines 19003--19007 \T1/ptm/m/n/10.95 turns or-thog-o-nal eigen-vec-tors (not al-ways of norm equal to 1) i.e. \T1/pcr/m/n/10.95 tran(P)*P Overfull \hbox (41.86461pt too wide) in paragraph at lines 19010--19011 \T1/pcr/m/n/10.95 [[1,-1,1/2],[1,0,-1],[1,1,1/2]],[[6,0,0],[0,3,0],[0,0,3]] [419] Overfull \hbox (369.26912pt too wide) in paragraph at lines 19016--19016 \T1/pcr/m/n/10.95 [[1,0,0],[0,1,1],[1,1,-1]],[[-1,0,0],[1,1,1],[0,-sqrt(2)-1,s qrt(2)-1]],[[1,0,0],[0,-(sqrt(2)),0],[0,0,sqrt(2)]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 19032--19032 \T1/pcr/m/n/10.95 [[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]] Overfull \hbox (67.04948pt too wide) in paragraph at lines 19048--19049 \T1/pcr/m/n/10.95 [[(3^^Bn+(-1)^^Bn)/2,(3^^Bn-(-1)^^Bn)/2],[(3^^Bn-(-1)^^Bn)/2 ,(3^^Bn+(-1)^^Bn)/2]] Overfull \hbox (55.58382pt too wide) in paragraph at lines 19051--19053 \T1/ptm/m/n/10.95 Notice that \T1/pcr/m/n/10.95 jordan([[1,2],[2,1]]) \T1/ptm/m /n/10.95 re-turns \T1/pcr/m/n/10.95 [[1,-1],[1,1]],[[3,0],[0,-1]]\T1/ptm/m/n/10 .95 . [420] Overfull \hbox (76.62883pt too wide) in paragraph at lines 19079--19079 []\T1/ptm/b/n/12 Characteristic poly-no-mial us-ing Hes-sen-berg al-go-rithm : \T1/pcr/m/n/12 pcar_hessenberg [421] [422] Overfull \hbox (1.16068pt too wide) in paragraph at lines 19186--19194 \T1/ptm/m/n/10.95 size $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/ m/n/10.95 1$ \T1/ptm/m/n/10.95 bor-dered with $\OT1/cmr/m/n/10.95 [0\OML/cmm/m/ it/10.95 ; \OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 ::; \OT1/cmr/m/n/10.95 0\OML /cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10 .95 ]$ \T1/ptm/m/n/10.95 as first row, and with $\OT1/cmr/m/n/10.95 [\OMS/cmsy/ m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.9 5 a[]; ::::; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 ] $ [423] [424] Overfull \hbox (21.05954pt too wide) in paragraph at lines 19235--19235 \T1/pcr/m/n/10.95 [[13,9,7],[6,4,3],[20,15,12]],[[3,0,30],[0,12,0],[0,0,60]] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 19263. 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[425] [426] Overfull \hbox (47.33951pt too wide) in paragraph at lines 19354--19354 \T1/pcr/m/n/10.95 B:=[[x^^B2+x-1,1,0,1],[-1,x,0,-1],[0,x^^B2+1,x,0],[1,0,1,x^^ B2+x+1]] [427] [428] [429] [430] Overfull \hbox (323.27917pt too wide) in paragraph at lines 19519--19520 \T1/pcr/m/n/10.95 [[[4.0,0.0,0.0],[8.0,5.0,0.0]],[[1.0,0.0,0.0],[0.0,-0.8,0.6] ,[0.0,-0.6,-0.8]],[[1,0,0],[0,1,0],[0,0,1]]] Overfull \hbox (80.18947pt too wide) in paragraph at lines 19530--19531 \T1/pcr/m/n/10.95 [[[-30.0,0.0],[-38.4,-1.2]],[[-0.8,-0.6],[0.6,-0.8]],[[1,0], [0,1]]] Overfull \hbox (31.61588pt too wide) detected at line 19545 \OML/cmm/m/it/10.95 L \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 U \OMS/cmsy/m /n/10.95 ^^C \OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 P \ OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 B \OT1/cmr/m/n/10.95 = \OML/cmm/m/it /10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 )[]\OML/cmm /m/it/10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 ) = [\ OML/cmm/m/it/10.95 b[]; b[]::b[]\OT1/cmr/m/n/10.95 ]\OML/cmm/m/it/10.95 ; B \O T1/cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 b[]; b[]::b[]\OT1/cmr/m/n/10.95 ] [431] [432]./cascmd_en.tex:29540: Warning: Undefined label: 'sec:localfeatures' [433] [434]./cascmd_en.tex:29763: Warning: Undefined label: 'sec:3dpoint' ./cascmd_en.tex:29794: Warning: Undefined label: 'sec:localfeatures' [435] [436]./cascmd_en.tex:29908: Warning: Undefined label: 'sec:3dsingleintersection' Overfull \hbox (14.48955pt too wide) in paragraph at lines 19797--19798 \T1/pcr/m/n/10.95 conjugate_gradient([[2,1],[1,5]],[1,0],[0.55,-0.11],1e-2) Overfull \hbox (21.05954pt too wide) in paragraph at lines 19807--19808 \T1/pcr/m/n/10.95 conjugate_gradient([[2,1],[1,5]],[1,0],[0.55,-0.11],1e-10) Overfull \hbox (1.34956pt too wide) in paragraph at lines 19832--19832 \T1/pcr/m/n/10.95 [[(sqrt(3))/3,(sqrt(3))/3,(sqrt(3))/3],[(-(sqrt(6)))/6, Overfull \hbox (27.62953pt too wide) in paragraph at lines 19833--19833 []\T1/pcr/m/n/10.95 (-(sqrt(6)))/6,(sqrt(6))/3],[(-(sqrt(2)))/2,(sqrt(2))/2,0] ] [437]./cascmd_en.tex:29951: Warning: Undefined label: 'sec:3dintersection' ( FP-DIV ) ( FP-DIV./cascmd_en.tex:30005: Warning: Undefined label: 'sec:3dmidpt' ./cascmd_en.tex:30014: Warning: Undefined label: 'sec:3dbarycenter' ) [438]./cascmd_en.tex:30059: Warning: Undefined label: 'sec:3disobarycenter' [439] ( FP-DIV ) ( FP-DIV./cascmd_en.tex:30188: Warning: Undefined label: 'sec:3dlines' ) ./cascmd_en.tex:30243: Warning: Undefined label: 'sec:3dhalflines' [440]./cascmd_en.tex:30263: Warning: Undefined label: 'sec:3dsegments' ./cascmd_en.tex:30267: Warning: Undefined label: 'sec:2dvectors' Overfull \hbox (43.45985pt too wide) detected at line 19990 [] [441]./cascmd_en.tex:30304: Warning: Undefined label: 'sec:3dvectors' ./cascmd_en.tex:30308: Warning: Undefined label: 'sec:2dsegments' [442]./cascmd_en.tex:30357: Warning: Undefined label: 'sec:3dparallel' ./cascmd_en.tex:30376: Warning: Undefined label: 'sec:3dperp' [443]./cascmd_en.tex:30401: Warning: Undefined label: 'sec:3dtangents' ./cascmd_en.tex:30404: Warning: Undefined label: 'sec:element' ./cascmd_en.tex:30470: Warning: Undefined label: 'sec:3dperpbis' ./cascmd_en.tex:30536: Warning: Undefined label: 'sec:3dtriangles' [444]./cascmd_en.tex:30541: Warning: Undefined label: 'sec:3dtricommand' ./cascmd_en.tex:30562: Warning: Undefined label: 'sec:3disotriangles' [445]./cascmd_en.tex:30606: Warning: Undefined label: 'sec:3dright' ./cascmd_en.tex:30661: Warning: Undefined label: 'sec:3dequi' ./cascmd_en.tex:30704: Warning: Undefined label: 'sec:3dquad' ./cascmd_en.tex:30709: Warning: Undefined label: 'sec:3dsquares' ./cascmd_en.tex:30753: Warning: Undefined label: 'sec:3drhombuses' [446]./cascmd_en.tex:30798: Warning: Undefined label: 'sec:3drect' [447]./cascmd_en.tex:30868: Warning: Undefined label: 'sec:3dparallelograms' [448]./cascmd_en.tex:30932: Warning: Undefined label: 'sec:3dpolygons' ./cascmd_en.tex:30937: Warning: Undefined label: 'sec:3dhex' ./cascmd_en.tex:30982: Warning: Undefined label: 'sec:3dregpoly' Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 20286. 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[452] Underfull \hbox (badness 10000) in paragraph at lines 20464--20466 [453] Overfull \hbox (21.05954pt too wide) in paragraph at lines 20529--20529 [] \T1/pcr/m/n/10.95 End reduction [[-4,0,0, -2], [0, -4,0,10], [0,0, -4, -2]][ ] Overfull \hbox (83.4212pt too wide) in paragraph at lines 20545--20545 []\T1/ptm/b/n/12 Solving a lin-ear sys-tem us-ing the Ja-cobi it-er-a-tion meth od: \T1/pcr/b/n/12 jacobi_linsolve [454]./cascmd_en.tex:31333: Warning: Undefined label: 'sec:3dellipse' ./cascmd_en.tex:31386: Warning: Undefined label: 'sec:3dhyperbola' Overfull \hbox (4.91638pt too wide) in paragraph at lines 20578--20578 []\T1/ptm/b/n/12 Solving a lin-ear sys-tem us-ing the Gauss-Seidel it-er-a-tion method: [455]./cascmd_en.tex:31439: Warning: Undefined label: 'sec:3dparabola' [456] [457]./cascmd_en.tex:31538: Warning: Undefined label: 'sec:3dabscissa' ./cascmd_en.tex:31587: Warning: Undefined label: 'sec:3dordinate' [458]./cascmd_en.tex:31636: Warning: Undefined label: 'sec:3dcoordinates' Underfull \hbox (badness 10000) in paragraph at lines 20795--20803 Overfull \hbox (20.92664pt too wide) in paragraph at lines 20830--20833 \T1/pcr/m/n/10.95 c_0, c_1 \T1/ptm/m/n/10.95 are the con-stants of in-te-gra-ti on : \T1/pcr/m/n/10.95 y(0)=c_0 \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y'(0)=c _1\T1/ptm/m/n/10.95 . Overfull \hbox (13.3947pt too wide) in paragraph at lines 20834--20835 \T1/pcr/m/n/10.95 desolve(derive(derive(y(t),t),t)+y(t)=cos(t),t,y) [459]./cascmd_en.tex:31820: Warning: Undefined label: 'sec:3dcarteq' ./cascmd_en.tex:31842: Warning: Undefined label: 'sec:3dparam' Overfull \hbox (20.92664pt too wide) in paragraph at lines 20838--20841 \T1/pcr/m/n/10.95 c_0, c_1 \T1/ptm/m/n/10.95 are the con-stants of in-te-gra-ti on : \T1/pcr/m/n/10.95 y(0)=c_0 \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y'(0)=c _1\T1/ptm/m/n/10.95 . Overfull \hbox (46.24466pt too wide) in paragraph at lines 20855--20855 \T1/pcr/m/n/10.95 [-cos(x)+(x+2*c_1)/2*sin(x),cos(x)+(x+2*c_1)/2*sin(x)] Overfull \hbox (21.37506pt too wide) in paragraph at lines 20876--20879 \T1/ptm/m/n/10.95 the so-lu-tion de-pends of 2 con-stants of in-te-gra-tion : \ T1/pcr/m/n/10.95 c_0, c_1 \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 y(0)=c_0 [460] Overfull \hbox (23.20375pt too wide) in paragraph at lines 20885--20887 \T1/ptm/m/n/10.95 the so-lu-tion de-pends on 2 con-stants of in-te-gra-tion : \ T1/pcr/m/n/10.95 c_0, c_1 \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 y(0)=c_0 [461./cascmd_en.tex:31910: Warning: Undefined label: 'sec:2ddist' ./cascmd_en.tex:31913: Warning: Undefined label: 'sec:2dangle' ./cascmd_en.tex:31917: Warning: Undefined label: 'sec:area' ./cascmd_en.tex:31921: Warning: Undefined label: 'sec:perim' ./cascmd_en.tex:31926: Warning: Undefined label: 'sec:slope' ]./cascmd_en.tex:31985: Warning: Undefined label: 'sec:3ddist' Overfull \hbox (13.3947pt too wide) in paragraph at lines 20924--20924 \T1/pcr/m/n/10.95 desolve(t*(t[][]^[]2-1)*diff(y(t),t)+2*y(t)=(t[][]^[]2),y(t) ) [462]./cascmd_en.tex:32058: Warning: Undefined label: 'sec:measdisplay' ./cascmd_en.tex:32063: Warning: Undefined label: 'sec:3ddist2' [463./cascmd_en.tex:32084: Warning: Undefined label: 'sec:3dangle' ] [464]./cascmd_en.tex:32146: Warning: Undefined label: 'sec:measdisplay' ./cascmd_en.tex:32179: Warning: Undefined label: 'sec:localfeatures' ./cascmd_en.tex:32180: Warning: Undefined label: 'sec:addlegend' Overfull \hbox (5.09773pt too wide) in paragraph at lines 21105--21108 []\T1/ptm/m/n/10.95 The Laplace trans-form (\T1/pcr/m/n/10.95 laplace\T1/ptm/m/ n/10.95 ) and in-verse Laplace trans-form (\T1/pcr/m/n/10.95 ilaplace\T1/ptm/m/ n/10.95 ) [465]./cascmd_en.tex:32222: Warning: Undefined label: 'sec:measdisplay' [466]./cascmd_en.tex:32227: Warning: Undefined label: 'sec:arclen' ./cascmd_en.tex:32285: Warning: Undefined label: 'sec:measdisplay' LaTeX Warning: Reference `kovacic-ode' on page 467 undefined on input line 2117 9. [467]./cascmd_en.tex:32341: Warning: Undefined label: 'sec:measdisplay' LaTeX Warning: Reference `kovacic-ode' on page 468 undefined on input line 2118 3. LaTeX Warning: Reference `kovacic-ode' on page 468 undefined on input line 2118 5. LaTeX Warning: Reference `kovacic-ode' on page 468 undefined on input line 2118 5. LaTeX Warning: Reference `kovacic-ode' on page 468 undefined on input line 2118 9. LaTeX Warning: Reference `kovacic-ode' on page 468 undefined on input line 2118 9. [468] [469] LaTeX Warning: Reference `kovacic-reduction' on page 470 undefined on input lin e 21259. LaTeX Warning: Reference `kovacic-reduction' on page 470 undefined on input lin e 21279. [470] [471] [472]./cascmd_en.tex:32431: Warning: Undefined label: 'sec:3dtranslations' [473]./cascmd_en.tex:32471: Warning: Undefined label: 'sec:3dreflections' Overfull \hbox (25.57994pt too wide) in paragraph at lines 21470--21477 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 epsilon[] \T1/ptm/m/n/10.95 value is de -fined in the \T1/pcr/m/n/10.95 cas \T1/ptm/m/n/10.95 con-fig-u-ra-tion (by de- fault \T1/pcr/m/n/10.95 epsilon=1e-10\T1/ptm/m/n/10.95 ). [474]./cascmd_en.tex:32518: Warning: Undefined label: 'sec:3drotations' ./cascmd_en.tex:32565: Warning: Undefined label: 'sec:3dhomothety' [475]./cascmd_en.tex:32617: Warning: Undefined label: 'sec:3dsimilarity' Overfull \hbox (13.53424pt too wide) in paragraph at lines 21570--21578 \T1/ptm/m/n/10.95 where $\OML/cmm/m/it/10.95 ^^O$ \T1/ptm/m/n/10.95 is de-fined by \T1/pcr/m/n/10.95 epsilon \T1/ptm/m/n/10.95 in the \T1/pcr/m/n/10.95 cas \T 1/ptm/m/n/10.95 con-fig-u-ra-tion (\T1/pcr/m/n/10.95 Cfg \T1/ptm/m/n/10.95 menu , or \T1/pcr/m/n/10.95 cas_setup [476] [477] [478]./cascmd_en.tex:32679: Warning: Undefined label: 'sec:3dinversion' ./cascmd_en.tex:32683: Warning: \overrightarrow outside display mode Chapter 6. Overfull \hbox (34.74464pt too wide) in paragraph at lines 21669--21669 []\T1/ptm/b/n/14.4 Computing the cur-va-ture and re-lated val-ues: \T1/pcr/b/n/ 14.4 curvature, [479] ( FP-DIV./cascmd_en.tex:32741: Warning: Undefined label: 'sec:3dprojection' ) ( FP-DIV ) ./cascmd_en.tex:32805: Warning: Undefined label: 'sec:3diselem' ./cascmd_en.tex:32837: Warning: Undefined label: 'sec:3dcheckcollinear' ( FP-DIV ) ( FP-DIV./cascmd_en.tex:32869: Warning: Undefined label: 'sec:3dcheckconcycle' ) [480] Overfull \hbox (200.52504pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 6.2. COMPUTING THE CURVATURE AND RELATED VALUES: \T1/pcr/m/ sl/10.95 CURVATURE, OSCULATING_CIRCLE, EVOLUTE \T1/ptm/m/n/10.95 481 [481] [482]./cascmd_en.tex:32940: Warning: Undefined label: 'sec:3dcheckequilateral' Chapter 7. Underfull \hbox (badness 10000) in paragraph at lines 21793--21794 [483]./cascmd_en.tex:32991: Warning: Undefined label: 'sec:3dcheckisosceles' Overfull \hbox (44.09721pt too wide) in paragraph at lines 21839--21845 \T1/ptm/m/n/10.95 duces an er-ror in \T1/pcr/m/n/10.95 g(x)\T1/ptm/m/n/10.95 , but the line [][]\T1/pcr/m/n/10.95 if (type(x)!=DOM_FLOAT) return 'f'(x); Overfull \hbox (1.9817pt too wide) in paragraph at lines 21858--21861 \T1/ptm/m/n/10.95 screen, and mov-ing the im-age in the $\OML/cmm/m/it/10.95 z$ \T1/ptm/m/n/10.95 di-rec-tion in a three-dimensional screen. [484]./cascmd_en.tex:33070: Warning: Undefined label: 'sec:3dcheckrect' Overfull \hbox (68.14458pt too wide) in paragraph at lines 21961--21964 \T1/pcr/m/n/10.95 plus_point square_point cross_point triangle_point star_point Overfull \hbox (25.33948pt too wide) in paragraph at lines 21970--21973 []\T1/ptm/m/n/10.95 Line shape: \T1/pcr/m/n/10.95 display= \T1/ptm/m/n/10.95 on e of the fol-low-ing val-ues \T1/pcr/m/n/10.95 dash_line solid_line Overfull \hbox (48.4346pt too wide) in paragraph at lines 21970--21973 \T1/pcr/m/n/10.95 dashdot_line dashdotdot_line cap_flat_line cap_square_line Overfull \hbox (5.49915pt too wide) in paragraph at lines 21973--21980 \T1/pcr/m/n/10.95 quandrant1 quadrant2 quadrant3 quadrant4 \T1/ptm/m/n/10.95 co r-re-spond-ing to Overfull \hbox (21.02454pt too wide) in paragraph at lines 21973--21980 \T1/ptm/m/n/10.95 ven-tions). The leg-end is not dis-played if the at-tribute \ T1/pcr/m/n/10.95 display=hidden_name [485]./cascmd_en.tex:33126: Warning: Undefined label: 'sec:3dchecksquare' ./cascmd_en.tex:33187: Warning: Undefined label: 'sec:3dcheckrhombus' Overfull \hbox (47.33951pt too wide) in paragraph at lines 21992--21992 \T1/pcr/m/n/10.95 A:=point(1+i);B:=point(-1);display(D:=droite(A,B),hidden_nam e) Overfull \hbox (81.08737pt too wide) in paragraph at lines 22025--22028 []\T1/pcr/m/n/10.95 gl_x_axis_name="xname"\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gl_y_axis_name="yname"\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gl_z_axis_name=""\ T1/ptm/m/n/10.95 : Overfull \hbox (81.08737pt too wide) in paragraph at lines 22030--22033 []\T1/pcr/m/n/10.95 gl_x_axis_unit="xunit"\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gl_y_axis_unit="yunit"\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gl_z_axis_unit=""\ T1/ptm/m/n/10.95 : Overfull \hbox (375.83911pt too wide) in paragraph at lines 22053--22053 \T1/pcr/m/n/10.95 title="median_line";triangle(-1-i,1,1+i);median_line(-1-i,1, 1+i);median_line(1,-1-i,1+i);median_line(1+i,1,-1-i) [486]./cascmd_en.tex:33254: Warning: Undefined label: 'sec:3dcheckparallelogram' Overfull \hbox (28.0212pt too wide) in paragraph at lines 22057--22057 []\T1/ptm/b/n/14.4 Graph of a func-tion : \T1/pcr/m/n/14.4 plotfunc funcplot Dr awFunc Overfull \hbox (16.15044pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.4. GRAPH OF A FUNCTION : \T1/pcr/m/n/10.95 PLOTFUNC FUNCP LOT DRAWFUNC GRAPH \T1/ptm/m/n/10.95 487 [487] Overfull \hbox (1.34956pt too wide) in paragraph at lines 22113--22113 \T1/pcr/m/n/10.95 plotfunc(x*sin(y),[x=0..2,y=-pi..pi],xstep=1,ystep=0.5) [488]./cascmd_en.tex:33323: Warning: Undefined label: 'sec:3dcheckparallel' LaTeX Warning: Reference `sec:plotfunc3' on page 489 undefined on input line 22 146. LaTeX Warning: Reference `sec:plotfunc3d' on page 489 undefined on input line 2 2163. LaTeX Warning: Reference `sec:plotfunc3' on page 489 undefined on input line 22 166. Overfull \hbox (16.15044pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.4. GRAPH OF A FUNCTION : \T1/pcr/m/n/10.95 PLOTFUNC FUNCP LOT DRAWFUNC GRAPH \T1/ptm/m/n/10.95 489 [489]./cascmd_en.tex:33355: Warning: Undefined label: 'sec:3dcheckperp' Overfull \hbox (15.1681pt too wide) in paragraph at lines 22209--22221 \T1/pcr/m/n/10.95 plot3d(f(x,y),x,y) \T1/ptm/m/n/10.95 (resp. \T1/pcr/m/n/10.95 plot3d([f(u,v),g(u,v),h(u,v)],u,v)\T1/ptm/m/n/10.95 ) Overfull \hbox (45.30249pt too wide) in paragraph at lines 22209--22221 \T1/ptm/m/n/10.95 syn-tax \T1/pcr/m/n/10.95 plot3d(f(x,y),x=x0..x1,y=y0..y1) \T 1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 plot3d(f,x0..x1,y0..y1) [490]./cascmd_en.tex:33387: Warning: Undefined label: 'sec:3dcheckorth' [491] [492] [493] ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:33722: Warning: Undefined label: 'sec:2dinversion' Overfull \hbox (32.08035pt too wide) in paragraph at lines 22378--22378 []\T1/ptm/b/n/14.4 Graph of in-equal-i-ties with 2 vari-ables : \T1/pcr/m/n/14. 4 plotinequation Overfull \hbox (47.33951pt too wide) in paragraph at lines 22382--22385 \T1/pcr/m/n/10.95 plotinequation([f1(x,y) [501./cascmd_en.tex:34400: Warning: Undefined label: 'sec:2disobarycenter' ]./cascmd_en.tex:34424: Warning: Undefined label: 'sec:2dbarycenter' ( FP-DIV./cascmd_en.tex:34470: Warning: Undefined label: 'sec:2dlines' ) ( FP-DIV./cascmd_en.tex:34518: Warning: Undefined label: 'sec:2dhalflines' ./cascmd_en.tex:34537: Warning: Undefined label: 'sec:2dsegments' ./cascmd_en.tex:34557: Warning: Undefined label: 'sec:2dvectors' ) ./cascmd_en.tex:34610: Warning: Undefined label: 'sec:2dparallel' Overfull \hbox (40.76952pt too wide) in paragraph at lines 22722--22723 \T1/pcr/m/n/10.95 parameq(bezier(point([0,0,0]),point([1,1,0]),point([0,1,1])) ) [502] Overfull \hbox (5.55646pt too wide) in paragraph at lines 22749--22749 []\T1/ptm/b/n/14.4 Graph of a re-cur-rent se-quence : \T1/pcr/m/n/14.4 plotseq seqplot Overfull \hbox (64.24176pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.17. GRAPH OF A RECURRENT SEQUENCE : \T1/pcr/m/n/10.95 PLO TSEQ SEQPLOT GRAPHE_SUITE \T1/ptm/m/n/10.95 503 [503]./cascmd_en.tex:34671: Warning: Undefined label: 'sec:2dperp' Overfull \hbox (14.20987pt too wide) in paragraph at lines 22794--22794 []\T1/ptm/b/n/14.4 Plotting a so-lu-tion of a dif-fer-en-tial equa-tion : \T1/p cr/m/n/14.4 plotode LaTeX Warning: Reference `ssec:odesolve' on page 504 undefined on input line 22 829. Overfull \hbox (2.18507pt too wide) in paragraph at lines 22831--22831 []\T1/ptm/b/n/14.4 Interactive plot-ting of so-lu-tions of a dif-fer-en-tial eq ua- Overfull \hbox (52.12758pt too wide) in paragraph at lines 22831--22831 \T1/ptm/b/n/14.4 tion : \T1/pcr/m/n/14.4 interactive_plotode interactive_odeplo t Overfull \hbox (0.75694pt too wide) in paragraph at lines 22832--22842 \T1/pcr/m/n/10.95 interactive_plotode(f(t,y),[t,y]) \T1/ptm/m/n/10.95 draws the tan-gent field of the dif- [504]./cascmd_en.tex:34762: Warning: Undefined label: 'sec:3dperp' ./cascmd_en.tex:34762: Warning: Undefined label: 'sec:3dorthogonal' LaTeX Warning: Reference `sec:plot2d' on page 505 undefined on input line 22873 . LaTeX Warning: Reference `sec:plot2d' on page 505 undefined on input line 22873 . Overfull \hbox (1.34956pt too wide) in paragraph at lines 22876--22877 \T1/pcr/m/n/10.95 animate(sin(a*x),x=-pi..pi,a=-2..2,frames=10,color=red) LaTeX Warning: Reference `sec:plotfunc3' on page 505 undefined on input line 22 889. LaTeX Warning: Reference `sec:plotfunc3' on page 505 undefined on input line 22 889. Overfull \hbox (315.36624pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.20. INTERACTIVE PLOTTING OF SOLUTIONS OF A DIFFERENTIAL E QUATION : \T1/pcr/m/n/10.95 INTERACTIVE_PLOTODE INTERACTIVE_ODEPLOT \T1/ptm/m/n /10.95 505 [505]./cascmd_en.tex:34797: Warning: Undefined label: 'sec:2dperpbis' Overfull \hbox (7.91956pt too wide) in paragraph at lines 22925--22925 \T1/pcr/m/n/10.95 animation(seq(plotfunc([cos(a*x),sin(a*x)],x=0..2*pi/a), [506]./cascmd_en.tex:34825: Warning: Undefined label: 'sec:2dtangents' ./cascmd_en.tex:34878: Warning: Undefined label: 'sec:2dtricommand' Overfull \hbox (7.91956pt too wide) in paragraph at lines 22941--22941 \T1/pcr/m/n/10.95 animation(seq(plotode(sin(x*y),[x,y],[0,a]),a,-4,4,0.5)) [507] [508./cascmd_en.tex:34905: Warning: Undefined label: 'sec:2disotriangles' ] [509] [510]./cascmd_en.tex:34971: Warning: Undefined label: 'sec:2dright' Chapter 8. LaTeX Warning: Reference `sec:statmat' on page 511 undefined on input line 2300 5. [511]./cascmd_en.tex:35053: Warning: Undefined label: 'sec:2dequi' [512]./cascmd_en.tex:35099: Warning: Undefined label: 'sec:2dquad' Overfull \hbox (4.02478pt too wide) in paragraph at lines 23167--23169 []\T1/ptm/m/n/10.95 Like \T1/pcr/m/n/10.95 stddev\T1/ptm/m/n/10.95 , the \T1/pc r/m/n/10.95 stddevp \T1/ptm/m/n/10.95 com-mand can take a sec-ond ar-gu-ment fo r weights. [513]./cascmd_en.tex:35104: Warning: Undefined label: 'sec:2dsquares' ./cascmd_en.tex:35150: Warning: Undefined label: 'sec:2drhombuses' [514] Overfull \hbox (10.28056pt too wide) in paragraph at lines 23295--23302 \T1/ptm/m/n/10.95 A boxwhisker is a graph-i-cal view of the quar-tiles of a lis t of num-bers. The boxwhisker ( FP-DIV./cascmd_en.tex:35217: Warning: Undefined label: 'sec:2drect' ) ( FP-DIV ) [515]./cascmd_en.tex:35288: Warning: Undefined label: 'sec:2dparallelograms' Overfull \hbox (7.91956pt too wide) in paragraph at lines 23388--23389 \T1/pcr/m/n/10.95 histogram([[1.5..1.65,50],[1.65..1.7,20],[1.7..1.8,30]]) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:35332: Warning: Undefined label: 'sec:2dquads' ) ./cascmd_en.tex:35350: Warning: Undefined label: 'sec:2dpolygons' [516]./cascmd_en.tex:35355: Warning: Undefined label: 'sec:2dhex' ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:35401: Warning: Undefined label: 'sec:2dregpoly' [517]./cascmd_en.tex:35442: Warning: Undefined label: 'sec:2dgenpolygon' Overfull \hbox (100.11449pt too wide) in paragraph at lines 23468--23468 []\T1/ptm/b/n/12 Cumulative fre-quen-cies: \T1/pcr/b/n/12 cumulated_frequencies [] frequences_cumulees[] ( FP-DIV./cascmd_en.tex:35470: Warning: Undefined label: 'sec:2dpolylines' ) ( FP-DIV ) ./cascmd_en.tex:35492: Warning: Undefined label: 'sec:2dcircles' Overfull \hbox (7.91956pt too wide) in paragraph at lines 23508--23509 \T1/pcr/m/n/10.95 cumulated_frequencies([[1..2,03],[2..4,0.4],[4..5,0.3]]) ( FP-DIV ) ( FP-DIV ) [518]./cascmd_en.tex:35534: Warning: Undefined label: 'sec:2dellipse' Overfull \hbox (9.56572pt too wide) in paragraph at lines 23515--23519 []\T1/ptm/m/n/10.95 If the ma-trix given to \T1/pcr/m/n/10.95 cumulated_frequen cies \T1/ptm/m/n/10.95 has more than two columns, ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:35556: Warning: Undefined label: 'sec:2dhyperbola' ( FP-DIV ) ( FP-DIV./cascmd_en.tex:35578: Warning: Undefined label: 'sec:2dparabola' ) [519]./cascmd_en.tex:35602: Warning: Undefined label: 'sec:2dabscissa' Overfull \hbox (14.48955pt too wide) in paragraph at lines 23553--23554 \T1/pcr/m/n/10.95 bar_plot([[2,"xyz","abc"],["A",2,5],["B",5,6],["C",6,6]]) ( FP-DIV./cascmd_en.tex:35623: Warning: Undefined label: 'sec:2dordinate' ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:35662: Warning: Undefined label: 'sec:2dcoordinates' Overfull \hbox (21.05954pt too wide) in paragraph at lines 23575--23576 \T1/pcr/m/n/10.95 camembert([[2,"xyz","abc"],["A",2,5],["B",5,6],["C",6,6]]) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:35748: Warning: Undefined label: 'sec:2dcarteq' ) ./cascmd_en.tex:35785: Warning: Undefined label: 'sec:2dparam' Overfull \hbox (136.27075pt too wide) in paragraph at lines 23584--23584 []\T1/ptm/b/n/12 Covariance and cor-re-la-tion: \T1/pcr/b/n/12 covariance[] cor relation[] covariance_correlation[] Overfull \hbox (1.8058pt too wide) in paragraph at lines 23586--23592 \T1/ptm/m/n/10.95 The co-vari-ance of two ran-dom vari-ables mea-sures their co n-nect-ed-ness; i.e., whether [520] Overfull \hbox (47.33951pt too wide) in paragraph at lines 23661--23662 \T1/pcr/m/n/10.95 1,4,9,16],[1,3,0,5,0],[2,0,1,0,0],[3,0,0,5,0],[4,0,0,0,2]],- 1) [521]./cascmd_en.tex:35835: Warning: Undefined label: 'sec:2ddist' ./cascmd_en.tex:35863: Warning: Undefined label: 'sec:2ddist2' ( FP-DIV ) ( FP-DIV./cascmd_en.tex:35891: Warning: Undefined label: 'sec:2dangle' ) ( FP-DIV./cascmd_en.tex:35941: Warning: Undefined label: 'sec:2diselem' ) ( FP-DIV ) [522]./cascmd_en.tex:36041: Warning: Undefined label: 'sec:2dcheckparallel' ./cascmd_en.tex:36104: Warning: Undefined label: 'sec:2dcheckperp' Overfull \hbox (92.63928pt too wide) in paragraph at lines 23737--23737 []\T1/ptm/b/n/12 Polygonal paths: \T1/pcr/b/n/12 polygonplot[] ligne_polygonale [] linear_interpolate[] ( FP-DIV ) ( FP-DIV./cascmd_en.tex:36162: Warning: Undefined label: 'sec:2dcheckorth' ) Overfull \hbox (71.11533pt too wide) in paragraph at lines 23775--23787 []\T1/ptm/m/n/10.95 If you want to get co-or-di-nates on the polyg-o-nal path, you can use the \T1/pcr/m/n/10.95 linear_interpolate [523]./cascmd_en.tex:36220: Warning: Undefined label: 'sec:2dcheckcollinear' ( FP-DIV./cascmd_en.tex:36254: Warning: Undefined label: 'sec:2dcheckconcycle' ) ( FP-DIV ) ./cascmd_en.tex:36323: Warning: Undefined label: 'sec:2dcheckequilateral' Overfull \hbox (55.60684pt too wide) in paragraph at lines 23823--23823 []\T1/ptm/b/n/12 Linear re-gres-sion: \T1/pcr/b/n/12 linear_regression[] linear _regression_plot[] [524] ( FP-DIV./cascmd_en.tex:36375: Warning: Undefined label: 'sec:2dcheckisosceles' ) ( FP-DIV ) ./cascmd_en.tex:36437: Warning: Undefined label: 'sec:2dcheckrect' Overfull \hbox (154.95456pt too wide) in paragraph at lines 23866--23866 []\T1/ptm/b/n/12 Exponential re-gres-sion: \T1/pcr/b/n/12 exponential_regressio n[] exponential_regression_plot[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23876--23877 \T1/pcr/m/n/10.95 evalf(exponential_regression([[1,1],[2,4],[3,9],[4,16]])) Overfull \hbox (27.67761pt too wide) in paragraph at lines 23891--23893 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 exponential_regression_plot\T1/ptm/m/n/10.95 ; [525]./cascmd_en.tex:36480: Warning: Undefined label: 'sec:2dchecksquare' ( FP-DIV./cascmd_en.tex:36534: Warning: Undefined label: 'sec:2dcheckrhombus' ) ( FP-DIV./cascmd_en.tex:36588: Warning: Undefined label: 'sec:2dcheckparallelogram' ) ./cascmd_en.tex:36699: Warning: Undefined label: 'sec:2dtranslations' ./cascmd_en.tex:36740: Warning: Undefined label: 'sec:2dreflections' Overfull \hbox (156.9346pt too wide) in paragraph at lines 23904--23904 []\T1/ptm/b/n/12 Logarithmic re-gres-sion: \T1/pcr/b/n/12 logarithmic_regressio n[] logarithmic_regression_plot[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23914--23915 \T1/pcr/m/n/10.95 evalf(logarithmic_regression([[1,1],[2,4],[3,9],[4,16]])) Overfull \hbox (9.28842pt too wide) in paragraph at lines 23927--23929 \T1/ptm/m/n/10.95 so the best fit ex-po-nen-tial curve will be $\OML/cmm/m/it/1 0.95 y \OT1/cmr/m/n/10.95 = 10\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 150645000 2 [](\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr /m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 564824055818$\T1/ptm/m/n/10 .95 . Overfull \hbox (27.67761pt too wide) in paragraph at lines 23930--23932 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 exponential_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV./cascmd_en.tex:36782: Warning: Undefined label: 'sec:2drotations' ) ( FP-DIV./cascmd_en.tex:36841: Warning: Undefined label: 'sec:2dhomothety' ) [526]./cascmd_en.tex:36895: Warning: Undefined label: 'sec:2dsimilarity' ./cascmd_en.tex:36959: Warning: Undefined label: 'sec:2dinversion' ./cascmd_en.tex:36962: Warning: \overrightarrow outside display mode ./cascmd_en.tex:37037: Warning: Undefined label: 'sec:2dprojection' Overfull \hbox (38.83116pt too wide) in paragraph at lines 23943--23943 []\T1/ptm/b/n/12 Power re-gres-sion: \T1/pcr/b/n/12 power_regression[] power_re gression_plot[] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (136.30681pt too wide) in paragraph at lines 23982--23982 []\T1/ptm/b/n/12 Polynomial re-gres-sion: \T1/pcr/b/n/12 polynomial_regression[ ] polynomial_regression_plot[] Overfull \hbox (61.30038pt too wide) in paragraph at lines 23984--23992 \T1/ptm/m/n/10.95 coordinates, or sim-ply by a list of points, as well as a pow er $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/10.95 , the \T1/pcr/m/n/10.95 polynomial_ regression [527] Overfull \hbox (21.10762pt too wide) in paragraph at lines 24009--24011 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 polynomial_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV ) Overfull \hbox (90.4067pt too wide) in paragraph at lines 24020--24020 []\T1/ptm/b/n/12 Logistic re-gres-sion: \T1/pcr/b/n/12 logistic_regression[] lo gistic_regression_plot[] [528] Overfull \hbox (60.47949pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 Correlation 0.780548607383, Estimated total P=-0.1559139 78495[] Overfull \hbox (93.32945pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 Returning estimated Pcumul, Pinstant, Ptotal, Pinstantma x, tmax, R[] Overfull \hbox (159.02937pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 [-0.155913978495/(1+exp(-0.0554152581707*x+0.14008851334 4+3.14159265359*i)),[] Overfull \hbox (218.1593pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 -0.00161022271237/(1+cos((-i)*(-0.0554152581707*x+0.140 088513344+3.14159265359*i))),[] Overfull \hbox (191.87933pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 -0.155913978495,-0.000805111356186,2.52797727501+56.691 8346552*i,0.780548607383][] Overfull \hbox (45.71123pt too wide) in paragraph at lines 24065--24067 []\T1/ptm/m/n/10.95 You can plot the lo-gis-tic equa-tion with the com-mand \T1 /pcr/m/n/10.95 logistic_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV ) Overfull \hbox (13.35335pt too wide) in paragraph at lines 24078--24078 []\T1/ptm/b/n/12 Producing uni-formly dis-tributed ran-dom num-bers: \T1/pcr/b/ n/12 rand[] random[] [529] [530]./cascmd_en.tex:37832: Warning: Undefined label: 'sec:imagestruct' ./cascmd_en.tex:37860: Warning: Undefined label: 'sec:imagestruct' Overfull \hbox (67.01683pt too wide) in paragraph at lines 24222--24222 []\T1/ptm/b/n/12 Producing ran-dom num-bers with the bi-no-mial dis-tri-bu-tion : \T1/pcr/b/n/12 randbinomial[] Overfull \hbox (35.0507pt too wide) in paragraph at lines 24241--24246 \T1/ptm/m/n/10.95 prob-a-bil-ity that one of sev-eral mu-tu-ally ex-clu-sive ev ents oc-curs), the \T1/pcr/m/n/10.95 randmultinomial [531]HeVeA Warning: Label(s) may have changed. Rerun me to get cross-references right. Overfull \hbox (42.9092pt too wide) in paragraph at lines 24268--24268 []\T1/ptm/b/n/12 Producing ran-dom num-bers with a Pois-son dis-tri-bu-tion: \T 1/pcr/b/n/12 randpoisson[] Overfull \hbox (20.20529pt too wide) in paragraph at lines 24288--24288 []\T1/ptm/b/n/12 Producing ran-dom num-bers with a nor-mal dis-tri-bu-tion: \T1 /pcr/b/n/12 randnorm[] [532]HeVeA Warning: Index(es) may have changed. Rerun me to get them right. HeVeA Warning: images may have changed, run 'imagen -pdf cascmd_en' Run, run, again... ./cascmd_en.tex:4: Warning: Command not found: \textheight LaTeX Warning: Reference `sec:ranm1' on page 533 undefined on input line 24327. LaTeX Warning: Reference `sec:ranm2' on page 533 undefined on input line 24327. Overfull \hbox (8.8468pt too wide) in paragraph at lines 24357--24360 []\T1/ptm/m/n/10.95 Given three in-te-gers $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/1 0.95 , $\OML/cmm/m/it/10.95 p$ \T1/ptm/m/n/10.95 and $\OML/cmm/m/it/10.95 a$\T1 /ptm/m/n/10.95 , \T1/pcr/m/n/10.95 randmatrix($\OML/cmm/m/it/10.95 n$\T1/pcr/m/ n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 a$\T1/p cr/m/n/10.95 ) [533] Overfull \hbox (284.95432pt too wide) in paragraph at lines 24381--24382 \T1/pcr/m/n/10.95 [[0.90923402831,0.594602484722,0.250897713937],[0.3326116949 32,0.145975249354,0.543010003399]] Overfull \hbox (62.51622pt too wide) in paragraph at lines 24385--24396 [] Overfull \hbox (30.94113pt too wide) in paragraph at lines 24385--24396 \T1/ptm/m/n/10.95 In this case, the third ar-gu-ment must be one of \T1/pcr/m/n /10.95 'rand($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1 /pcr/m/n/10.95 'binomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/ it/10.95 p$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (18.45857pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'binomial,$\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm /m/it/10.95 p$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'randbin omial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/ m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'multinomial($\OML/cmm/m/it/1 0.95 P$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 K$\T1/pcr/m/n/10.95 )'\T1/ptm/m/ n/10.95 , Overfull \hbox (25.8865pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'multinomial,$\OML/cmm/m/it/10.95 P$\T1/pcr/m/n/10.95 ,$\OML/ cmm/m/it/10.95 K$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'rand multinomial($\OML/cmm/m/it/10.95 P$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 K$\T 1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'poisson($\OML/cmm/m/it /10.95 ^^U$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (46.1609pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'poisson, $\OML/cmm/m/it/10.95 ^^U$\T1/pcr/m/n/10.95 '\T1/ptm /m/n/10.95 , \T1/pcr/m/n/10.95 'randpoisson($\OML/cmm/m/it/10.95 ^^U$\T1/pcr/m/ n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'normald($\OML/cmm/m/it/10.95 ^ ^V$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/ 10.95 , \T1/pcr/m/n/10.95 'normald,$\OML/cmm/m/it/10.95 ^^V$\T1/pcr/m/n/10.95 , $\OML/cmm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , Overfull \hbox (52.06851pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'randnorm($\OML/cmm/m/it/10.95 ^^V$\T1/pcr/m/n/10.95 ,$\OML/c mm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'ex p($\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10 .95 'exp,$\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/ m/n/10.95 'randexp($\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'fisher($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cm m/m/it/10.95 m$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (231.29929pt too wide) in paragraph at lines 24408--24409 \T1/pcr/m/n/10.95 [[2.6324726358,0.539273367446,0.793750476229],[2.24729803442 ,1.28189228187,2.25750809791]] [534] [535] [536]Exclude comment 'comment' [537]/usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'colorlinks' ./cascmd_en.tex:53: Warning: Bad index arg syntax in file: cascmd_en.hidx, index entry is '|' ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [538] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (4.66519pt too wide) in paragraph at lines 24636--24637 \T1/ptm/m/n/10.95 needed to pre-vent its eval-u-a-tion when pass-ing it to \T1/ pcr/m/n/10.95 randvector \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 randmatrix\T1/p tm/m/n/10.95 . [539] Overfull \hbox (24.48555pt too wide) in paragraph at lines 24648--24649 \T1/ptm/m/n/10.95 To save typ-ing, one can de-fine Z with \T1/pcr/m/n/10.95 eva l$\OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 ^^C\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n /10.95 0)$ \T1/ptm/m/n/10.95 and pass \T1/pcr/m/n/10.95 eval$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Z; \OT1/cmr/m/n/10.95 1)$ \T1/ptm/m/n/10.95 to \T1/pcr/m/ n/10.95 randvector Overfull \hbox (28.7865pt too wide) in paragraph at lines 24710--24710 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the bi-no -mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 binomial_cdf[] Overfull \hbox (36.52168pt too wide) in paragraph at lines 24712--24718 \T1/ptm/m/n/10.95 com-mand; \T1/pcr/m/n/10.95 binomial_cdf($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/ 10.95 x$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/10.95 , which in this case will equal \T 1/pcr/m/n/10.95 binomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OT1/cmr/m/ n/10.95 0$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) [540]./cascmd_en.tex:68: Warning: Command not found: \vfill Overfull \hbox (19.02208pt too wide) in paragraph at lines 24727--24732 \T1/ptm/m/n/10.95 You can give \T1/pcr/m/n/10.95 binomial_cdf \T1/ptm/m/n/10.95 an ad-di-tional ar-gu-ment; \T1/pcr/m/n/10.95 binomial_cdf($\OML/cmm/m/it/10.9 5 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it /10.95 x$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) Overfull \hbox (5.29236pt too wide) in paragraph at lines 24727--24732 \T1/pcr/m/n/10.95 = Prob($\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cm m/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/10.95 , which in this case would be \T1/pcr/m/n/10.95 binomial($\O ML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,ceil($\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/ 10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) Overfull \hbox (16.77452pt too wide) in paragraph at lines 24743--24743 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 binomial_icdf[] Overfull \hbox (100.98831pt too wide) in paragraph at lines 24759--24762 \T1/ptm/m/n/10.95 Note that \T1/pcr/m/n/10.95 binomial_cdf(4,0.5,3) \T1/ptm/m/n /10.95 is $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 9375$\T1 /ptm/m/n/10.95 , big-ger than $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cm r/m/n/10.95 9$\T1/ptm/m/n/10.95 , while \T1/pcr/m/n/10.95 binomial_cdf(4,0.5,2) Overfull \hbox (41.9593pt too wide) in paragraph at lines 24766--24766 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the neg-a-tive bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 negbinomial[] Overfull \hbox (63.05519pt too wide) in paragraph at lines 24767--24773 \T1/ptm/m/n/10.95 given by the neg-a-tive bi-no-mial dis-tri-bu-tion, and can b e com-puted with \T1/pcr/m/n/10.95 negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m /n/10.95 ,$\OML/cmm/m/it/10.95 k$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/ pcr/m/n/10.95 )\T1/ptm/m/n/10.95 . Overfull \hbox (73.06837pt too wide) in paragraph at lines 24787--24796 \T1/ptm/m/n/10.95 The sec-ond for-mula makes sense even if $\OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 is neg-a-tive, and you can write \T1/pcr/m/n/10.95 negbin omial$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n; k; p\OT1/cmr/m/n/10.95 ) = [541] Overfull \hbox (8.90561pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 negbinomial_cdf($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\O ML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ) = Prob($\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 x$ \T1/pcr/m/n/10.95 ) = negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\O T1/cmr/m/n/10.95 0$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) Overfull \hbox (27.21269pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 + ...+ negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 , floor($\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr /m/n/10.95 )\T1/ptm/m/n/10.95 , and \T1/pcr/m/n/10.95 negbinomial_cdf($\OML/cmm /m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OM L/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) Overfull \hbox (138.8707pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 = Prob($\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cm m/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) = negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,ceil($\OML/cmm/m/it/1 0.95 x$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) + $[] $ + negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,floor($\OML/cmm/m/it/10. 95 y$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/ 10.95 . Overfull \hbox (77.27287pt too wide) in paragraph at lines 24820--24820 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the neg-a-tive bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 negbinomial_icdf[] [542] Overfull \hbox (15.90944pt too wide) in paragraph at lines 24883--24883 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Pois- son dis-tri-bu-tion: \T1/pcr/b/n/10.95 poisson_cdf[] Overfull \hbox (3.89746pt too wide) in paragraph at lines 24913--24913 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Pois-son d is-tri-bu-tion: \T1/pcr/b/n/10.95 poisson_icdf[] Overfull \hbox (26.23586pt too wide) in paragraph at lines 24932--24932 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for a nor-mal dis-t ri-bu-tion: \T1/pcr/b/n/10.95 normald[] loi_normal[] [543] Overfull \hbox (5.93495pt too wide) in paragraph at lines 24982--24985 \T1/ptm/m/n/10.95 You can also leave off the mean and stan-dard de-vi-a-tion, i n which case \T1/pcr/m/n/10.95 normal_cdf Overfull \hbox (4.28337pt too wide) in paragraph at lines 25012--25018 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with Prob($\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T [544] Overfull \hbox (8.22661pt too wide) in paragraph at lines 25042--25046 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 UTPN \T1/ptm/m/n/10.95 (the Up-per Tail Prob-a-bil-ity - Nor-mal dis-tri-bu-tion) will com-pute $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X > Overfull \hbox (15.48264pt too wide) in paragraph at lines 25071--25071 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for Stu-dent's dis- tri-bu-tion: \T1/pcr/b/n/10.95 student[] studentd[] [545] Overfull \hbox (8.16774pt too wide) in paragraph at lines 25104--25104 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for Stu-dent' s dis-tri-bu-tion: \T1/pcr/b/n/10.95 student_cdf[] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\chi' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 25169. [546] Overfull \hbox (5.57837pt too wide) in paragraph at lines 25202--25202 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the $\OML /cmm/m/it/10.95 ^^_[]$ \T1/ptm/b/n/10.95 dis-tri-bu-tion: \T1/pcr/b/n/10.95 chi square_cdf[] [547] Overfull \hbox (3.17429pt too wide) in paragraph at lines 25268--25268 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Fisher-Snéd écor dis-tri-bu-tion: \T1/pcr/b/n/10.95 fisher[] Overfull \hbox (55.32018pt too wide) in paragraph at lines 25293--25297 \T1/ptm/m/n/10.95 and $\OML/cmm/m/it/10.95 n[]$ \T1/ptm/m/n/10.95 de-grees of f ree-dom at a value $\OML/cmm/m/it/10.95 x$ \T1/ptm/m/n/10.95 is $[]\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 n[]; n[]; x\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/ 10.95 n[]; n[]; x\OT1/cmr/m/n/10.95 ) = Overfull \hbox (38.48785pt too wide) in paragraph at lines 25317--25317 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Fisher-Sné décor dis-tri-bu-tion: \T1/pcr/b/n/10.95 fisher_icdf[] [548] Overfull \hbox (1.20322pt too wide) in paragraph at lines 25334--25334 [][]\T1/ptm/b/n/10.95 The up-per tail cu-mu-la-tive func-tion for the Fisher-Sn édécor dis-tri-bu-tion: \T1/pcr/b/n/10.95 UTPF[] Overfull \hbox (8.9346pt too wide) in paragraph at lines 25366--25366 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the gamma dis-tri-bu-tion: \T1/pcr/b/n/10.95 gammad_cdf[] [549] Overfull \hbox (45.51863pt too wide) in paragraph at lines 25455--25460 \T1/ptm/m/n/10.95 prob-a-bil-ity that the ran-dom vari-able lies be-tween the t wo val-ues; $[] \OT1/cmr/m/n/10.95 = [550] Overfull \hbox (35.5975pt too wide) in paragraph at lines 25508--25508 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion of the ge-o-m et-ric dis-tri-bu-tion: \T1/pcr/b/n/10.95 geometric_cdf[] Overfull \hbox (28.1735pt too wide) in paragraph at lines 25542--25542 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the ge-o-met-r ic dis-tri-bu-tion: \T1/pcr/b/n/10.95 geometric_icdf[] Overfull \hbox (10.74156pt too wide) in paragraph at lines 25561--25561 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Cauchy dis- tri-bu-tion: \T1/pcr/b/n/10.95 cauchy[] cauchyd[] [551] Overfull \hbox (9.99666pt too wide) in paragraph at lines 25594--25594 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Cauch y dis-tri-bu-tion: \T1/pcr/b/n/10.95 cauchy_cdf[] Overfull \hbox (10.49098pt too wide) in paragraph at lines 25641--25647 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/ n/10.95 ^^T [552] Overfull \hbox (26.2027pt too wide) in paragraph at lines 25659--25659 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the uni-form di s-tri-bu-tion: \T1/pcr/b/n/10.95 uniform[] uniformd[] Overfull \hbox (18.8878pt too wide) in paragraph at lines 25676--25676 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the uni-f orm dis-tri-bu-tion: \T1/pcr/b/n/10.95 uniform_cdf[] Overfull \hbox (67.5466pt too wide) in paragraph at lines 25692--25695 []\T1/ptm/m/n/10.95 With an ex-tra ar-gu-ment $\OML/cmm/m/it/10.95 y$ \T1/ptm/m /n/10.95 in $\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 a; b\OT1/cmr/m/n/10.95 ]$\ T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 uniform_cdf \T1/ptm/m/n/10.95 will com-put e $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 a; b; x; y\OT1/cmr/m/n/10.95 ) = Overfull \hbox (6.87582pt too wide) in paragraph at lines 25706--25706 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the uni-form d is-tri-bu-tion: \T1/pcr/b/n/10.95 uniform_icdf[] [553] Overfull \hbox (13.93849pt too wide) in paragraph at lines 25724--25724 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the ex-po-nen-t ial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential[] Overfull \hbox (61.26404pt too wide) in paragraph at lines 25740--25740 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the ex-po -nen-tial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential_cdf[] Overfull \hbox (74.26868pt too wide) in paragraph at lines 25756--25761 \T1/ptm/m/n/10.95 prob-a-bil-ity that the ran-dom vari-able lies be-tween the t wo val-ues; $[] \OT1/cmr/m/n/10.95 = Overfull \hbox (49.25206pt too wide) in paragraph at lines 25771--25771 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the ex-po-nen- tial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential_icdf[] [554] Overfull \hbox (24.34123pt too wide) in paragraph at lines 25790--25790 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Weibull dis -tri-bu-tion: \T1/pcr/b/n/10.95 weibull[] weibulld[] Overfull \hbox (17.02634pt too wide) in paragraph at lines 25814--25814 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Weibu ll dis-tri-bu-tion: \T1/pcr/b/n/10.95 weibull_cdf[] [555] Overfull \hbox (5.01436pt too wide) in paragraph at lines 25865--25865 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Weibull di s-tri-bu-tion: \T1/pcr/b/n/10.95 weibull_icdf[] Overfull \hbox (10.49098pt too wide) in paragraph at lines 25867--25874 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/ n/10.95 ^^T Overfull \hbox (7.91956pt too wide) in paragraph at lines 25915--25916 \T1/pcr/m/n/10.95 poly1[1/16,1/16,1/16,1/8,1/8,1/8,1/8,1/8,1/16,1/16,1/16] Overfull \hbox (99.89944pt too wide) in paragraph at lines 25925--25926 \T1/pcr/m/n/10.95 poly1[1/35,1/35,2/35,3/35,4/35,4/35,1/7,4/35,4/35,3/35,2/35, 1/35,1/35] [556] Overfull \hbox (67.04948pt too wide) in paragraph at lines 25945--25946 \T1/pcr/m/n/10.95 wilcoxons([1,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18,19 ,20]) Overfull \hbox (80.18947pt too wide) in paragraph at lines 25963--25964 \T1/pcr/m/n/10.95 wilcoxont([1,2,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18, 19,20]) Overfull \hbox (86.75946pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 P-value 9055/176358 (0.0513444244094), alpha=0.05 H0 not rejected[] Overfull \hbox (106.46944pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 wilcoxont([1,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18 ,19,20],0.3)[] [557] Overfull \hbox (34.19952pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 P-value 316/4199 (0.0752560133365), alpha=0.3 H0 rejecte d[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 25998--25998 [] \T1/pcr/m/n/10.95 Wilcoxon statistic: 18, p-value: 0.375, confidence level : 0.05[] Overfull \hbox (4.94077pt too wide) in paragraph at lines 26000--26000 []\T1/ptm/b/n/12 Moment gen-er-at-ing func-tions for prob-a-bil-ity dis-tri-bu- tions: \T1/pcr/b/n/12 mgf[] [558] Overfull \hbox (1.07176pt too wide) in paragraph at lines 26072--26073 \T1/ptm/m/n/10.95 and op-tion-ally a se-quence of op-tions. It per-forms ker-ne l den-sity es-ti-ma-tion[][][][][][] (KDE), LaTeX Warning: Reference `eq:kde1' on page 559 undefined on input line 26082. [559] Overfull \hbox (31.22046pt too wide) in paragraph at lines 26095--26096 []\T1/pcr/m/n/10.95 spline= \T1/ptm/m/n/10.95 : sets \T1/pcr/m/n/10.95 option \T1/ptm/m/n/10.95 to \T1/pcr/m/n/10.95 piecewise \T1/ptm/m/n/10.95 and \ T1/pcr/m/n/10.95 interp \T1/ptm/m/n/10.95 to \T1/pcr/m/n/10.95 \T1/ptm/ m/n/10.95 . Overfull \hbox (1.34956pt too wide) in paragraph at lines 26109--26110 \T1/pcr/m/n/10.95 0.4*(exp(-8*(x-3)[][]^[]2)+2*exp(-8*(x-2)[][]^[]2)+exp(-8*(x -1)[][]^[]2)) ( FP-DIV ) ( FP-DIV ) [560] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (4.97383pt too wide) in paragraph at lines 26161--26162 \T1/pcr/m/n/10.95 geometric\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gammad\T1/ptm/ m/n/10.95 , \T1/pcr/m/n/10.95 betad\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 cauchy \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 cauchyd\T1/ptm/m/n/10.95 ) or \T1/pcr/m/n /10.95 weibull \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 weibulld\T1/ptm/m/n/10.95 ) , [561] ( FP-DIV ) ( FP-DIV ) [562] Overfull \hbox (16.31805pt too wide) in paragraph at lines 26213--26221 \T1/ptm/m/n/10.95 pute char-ac-ter-is-tic fea-tures of the chain. If $\OML/cmm/ m/it/10.95 M$ \T1/ptm/m/n/10.95 is a tran-si-tion ma-trix, then \T1/pcr/m/n/10. 95 markov($\OML/cmm/m/it/10.95 M$\T1/pcr/m/n/10.95 ) Overfull \hbox (198.44933pt too wide) in paragraph at lines 26223--26224 \T1/pcr/m/n/10.95 markov([[0,0,1/2,0,1/2],[0,0,1,0,0],[1/4,1/4,0,1/4,1/4],[0,0 ,1/2,0,1/2],[0,0,0,0,1]]) Overfull \hbox (126.17941pt too wide) in paragraph at lines 26240--26241 \T1/pcr/m/n/10.95 randmarkov([[0,1/2,0,1/2],[0,1,0,0],[1/4,1/4,1/4,1/4],[0,0,1 /2,1/2]],2,10) Overfull \hbox (19.47916pt too wide) in paragraph at lines 26248--26252 []\T1/ptm/m/n/10.95 Alternatively, given a vec-tor $\OML/cmm/m/it/10.95 v \OT1/ cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 n[]; [] ; n[]\OT1/cmr/m/n/10.95 ]$\T1/ptm/ m/n/10.95 , the com-mand \T1/pcr/m/n/10.95 randmatrix($\OML/cmm/m/it/10.95 v$\T 1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 i[]$\T1/pcr/m/n/10.95 ) Overfull \hbox (145.88939pt too wide) in paragraph at lines 26259--26264 \T1/pcr/m/n/10.95 [0.259262238137,0.149948861946,0.143448150524,0.242132758802 ,0.205207990592], Overfull \hbox (145.88939pt too wide) in paragraph at lines 26259--26264 \T1/pcr/m/n/10.95 [0.231568633749,0.145429586345,0.155664673778,0.282556511895 ,0.184780594232]] [563] Overfull \hbox (86.75946pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Summary Z-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1!=mu2.[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Test returns 0 if probability to observe data is less th an 0.1[] Overfull \hbox (99.89944pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 (null hyp. mu1=mu2 rejected with less than alpha probabi lity error)[] [564] Overfull \hbox (34.19952pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Test returns 1 otherwise (can not reject null hypothesis )[] Overfull \hbox (145.88939pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 alpha level 0.1, multiplier*stddev/sqrt(sample size)= 1. 64485*0.02/5.47723[] Overfull \hbox (80.18947pt too wide) in paragraph at lines 26344--26344 [] \T1/pcr/m/n/10.95 Summary Z-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1 [617] Overfull \hbox (0.54688pt too wide) in paragraph at lines 29120--29123 \T1/ptm/m/n/10.95 toggles whether or not the co-or-di-nate axes are shown in su b-se-quent graphic screens. Overfull \hbox (87.7064pt too wide) in paragraph at lines 29143--29143 []\T1/ptm/b/n/12 Draw unit vec-tors in the plane: \T1/pcr/b/n/12 Ox_2d_unit_vec tor[] Oy_2d_unit_vector[] ( FP-DIV ) ( FP-DIV ) [618] Overfull \hbox (0.83241pt too wide) in paragraph at lines 29163--29174 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 dot_paper \T1/ptm/m/n/10.95 com-mand dr aws dot-ted pa-per. This com-mand takes three manda- ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [619] Overfull \hbox (7.63406pt too wide) in paragraph at lines 29208--29217 \T1/ptm/m/n/10.95 spac-ing in the $\OML/cmm/m/it/10.95 y$ \T1/ptm/m/n/10.95 di- rec-tion. The op-tional fourth and fifth ar-gu-ments, \T1/pcr/m/n/10.95 x=xmin. .xmax ( FP-DIV ) ( FP-DIV ) Overfull \hbox (31.2302pt too wide) in paragraph at lines 29231--29240 \T1/ptm/m/n/10.95 rec-tion. The op-tional fourth and fifth ar-gu-ments, \T1/pcr /m/n/10.95 x=xmin..xmax \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y=ymin..ymax\T1 /ptm/m/n/10.95 , ( FP-DIV ) ( FP-DIV ) [620] ( FP-DIV ) ( FP-DIV ) [621] Overfull \hbox (40.44118pt too wide) in paragraph at lines 29320--29320 [] \T1/pcr/m/n/10.95 C := append(C,square(j,j+1,color=j+filled));[] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 4954) has occurred while \output is active [622] Overfull \hbox (1.65459pt too wide) in paragraph at lines 29385--29388 []\T1/ptm/m/n/10.95 The val-ues \T1/pcr/m/n/10.95 line_width_1\T1/ptm/m/n/10.95 ,...,\T1/pcr/m/n/10.95 line_width_8 \T1/ptm/m/n/10.95 change the [623] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.8445pt too wide) in paragraph at lines 29453--29458 \T1/pcr/m/sl/10.95 units\T1/pcr/m/n/10.95 ","\T1/pcr/m/sl/10.95 y units\T1/pcr/ m/n/10.95 "] \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 ["\T1/pcr/m/sl/10.95 x unit s\T1/pcr/m/n/10.95 ","\T1/pcr/m/sl/10.95 y units\T1/pcr/m/n/10.95 ","z units"]\ T1/ptm/m/n/10.95 . [624] Overfull \hbox (12.80217pt too wide) in paragraph at lines 29469--29470 []\T1/ptm/m/n/10.95 These set the names Overfull \hbox (6.12271pt too wide) in paragraph at lines 29471--29472 []\T1/ptm/m/n/10.95 These set the units Overfull \hbox (2.45479pt too wide) in paragraph at lines 29473--29476 []\T1/ptm/m/n/10.95 These set the ( FP-DIV ) ( FP-DIV ) [625] LaTeX Warning: Reference `sec:localfeatures' on page 626 undefined on input lin e 29540. ( FP-DIV ) ( FP-DIV ) ./cascmd_en.hind:2: Warning: Command not found: \bigparallel ( FP-DIV ) ( FP-DIV ) [626] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (26.69461pt too wide) in paragraph at lines 29618--29618 []\T1/ptm/b/n/14.4 Define ge-o-met-ric ob-jects with-out draw-ing them: \T1/pcr /b/n/14.4 nodisp[] [627] ( FP-DIV ) ( FP-DIV ) [628] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (11.23666pt too wide) in paragraph at lines 29727--29746 \T1/ptm/m/n/10.95 to the com-mands \T1/pcr/m/n/10.95 assume(Ax=[2.1,-8.16901408 451,8.16901408451]) ( FP-DIV ) ( FP-DIV ) [629] LaTeX Warning: Reference `sec:3dpoint' on page 630 undefined on input line 2976 3. ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:localfeatures' on page 630 undefined on input lin e 29794. [630] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.33821pt too wide) in paragraph at lines 29835--29839 []\T1/ptm/m/n/10.95 The sum \T1/pcr/m/n/10.95 B+A \T1/ptm/m/n/10.95 re-turns th e af-fix $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 + \OML /cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 i\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 a[]\OT1/cm r/m/n/10.95 )$\T1/ptm/m/n/10.95 . If \T1/pcr/m/n/10.95 D := point(B+A)\T1/ptm/m /n/10.95 , ( FP-DIV ) ( FP-DIV ) [631] Overfull \hbox (43.76132pt too wide) in paragraph at lines 29905--29905 []\T1/ptm/b/n/12 Find a point of in-ter-sec-tion of two ob-jects in the plane: \T1/pcr/b/n/12 single_inter[] LaTeX Warning: Reference `sec:3dsingleintersection' on page 632 undefined on in put line 29908. [632] LaTeX Warning: Reference `sec:3dintersection' on page 633 undefined on input li ne 29951. [633] LaTeX Warning: Reference `sec:3dmidpt' on page 634 undefined on input line 3000 5. LaTeX Warning: Reference `sec:3dbarycenter' on page 634 undefined on input line 30014. ( FP-DIV ) ( FP-DIV ) [634] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 30056. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 30056. LaTeX Warning: Reference `sec:3disobarycenter' on page 635 undefined on input l ine 30059. Overfull \hbox (0.38922pt too wide) in paragraph at lines 30062--30065 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 isobarycenter \T1/ptm/m/n/10.95 com-m and takes a list (or se-quence) of points and draws ( FP-DIV ) ( FP-DIV ) Overfull \hbox (30.62222pt too wide) in paragraph at lines 30081--30081 []\T1/ptm/b/n/12 The ver-tices of a poly-gon in the plane: \T1/pcr/b/n/12 verti ces[]\T1/ptm/b/n/12 , \T1/pcr/b/n/12 vertices_abc[] ( FP-DIV ) ( FP-DIV ) [635] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (11.55377pt too wide) in paragraph at lines 30107--30107 []\T1/ptm/b/n/12 The ver-tices of a poly-gon in the plane, closed: \T1/pcr/b/n/ 12 vertices_abca[] [636] LaTeX Warning: Reference `sec:3dlines' on page 637 undefined on input line 3018 8. ( FP-DIV ) ( FP-DIV ) [637] LaTeX Warning: Reference `sec:3dhalflines' on page 638 undefined on input line 30243. ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dsegments' on page 638 undefined on input line 3 0263. LaTeX Warning: Reference `sec:2dvectors' on page 638 undefined on input line 30 267. [638] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dvectors' on page 639 undefined on input line 30 304. LaTeX Warning: Reference `sec:2dsegments' on page 639 undefined on input line 3 0308. Overfull \hbox (9.13919pt too wide) in paragraph at lines 30306--30309 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 segment \T1/ptm/m/n/10.95 and \T1/pcr /m/n/10.95 vector \T1/ptm/m/n/10.95 com-mands re-turn and draw vec-tors. (The \ T1/pcr/m/n/10.95 segment ( FP-DIV ) ( FP-DIV ) [639] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dparallel' on page 640 undefined on input line 3 0357. ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dperp' on page 640 undefined on input line 30376 . [640] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dtangents' on page 641 undefined on input line 3 0401. LaTeX Warning: Reference `sec:element' on page 641 undefined on input line 3040 4. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [641] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (66.80107pt too wide) in paragraph at lines 30467--30467 []\T1/ptm/b/n/12 The per-pen-dic-u-lar bi-sec-tor of a seg-ment in the plane: \ T1/pcr/b/n/12 perpen_bisector[] LaTeX Warning: Reference `sec:3dperpbis' on page 642 undefined on input line 30 470. [642] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [643] LaTeX Warning: Reference `sec:3dtriangles' on page 644 undefined on input line 30536. LaTeX Warning: Reference `sec:3dtricommand' on page 644 undefined on input line 30541. ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3disotriangles' on page 644 undefined on input li ne 30562. ( FP-DIV ) ( FP-DIV ) [644] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dright' on page 645 undefined on input line 3060 6. Overfull \hbox (9.16031pt too wide) in paragraph at lines 30608--30611 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 right_triangle \T1/ptm/m/n/10.95 com- mand takes three ar-gu-ments and an op-tional fourth. ( FP-DIV ) ( FP-DIV ) [645] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dequi' on page 646 undefined on input line 30661 . [646] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dquad' on page 647 undefined on input line 30704 . LaTeX Warning: Reference `sec:3dsquares' on page 647 undefined on input line 30 709. [647] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3drhombuses' on page 648 undefined on input line 30753. [648] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3drect' on page 649 undefined on input line 30798 . ( FP-DIV ) ( FP-DIV ) [649] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (15.49039pt too wide) in paragraph at lines 30850--30856 []\T1/ptm/m/n/10.95 Given \T1/pcr/m/n/10.95 rectangle(A,B,k)\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 Xcas \T1/ptm/m/n/10.95 com-putes \T1/pcr/m/n/10.95 D \T1/ptm /m/n/10.95 by $[]\OT1/cmr/m/n/10.95 ) = [] + [650] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dparallelograms' on page 651 undefined on input line 30868. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [651] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dpolygons' on page 652 undefined on input line 3 0932. LaTeX Warning: Reference `sec:3dhex' on page 652 undefined on input line 30937. ( FP-DIV ) ( FP-DIV ) [652] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dregpoly' on page 653 undefined on input line 30 982. ( FP-DIV ) ( FP-DIV ) [653] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dgenpolygon' on page 654 undefined on input line 31013. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [654] LaTeX Warning: Reference `sec:3dpolylines' on page 655 undefined on input line 31040. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [655] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2darcs' on page 656 undefined on input line 31099 . LaTeX Warning: Reference `sec:3dcircles' on page 656 undefined on input line 31 101. ( FP-DIV ) ( FP-DIV ) [656] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [657] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dcircles' on page 658 undefined on input line 31 187. ( FP-DIV ) ( FP-DIV ) [658] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [659] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [660] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dellipse' on page 661 undefined on input line 31 333. [661] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [662] LaTeX Warning: Reference `sec:3dhyperbola' on page 663 undefined on input line 31386. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [663] LaTeX Warning: Reference `sec:3dparabola' on page 664 undefined on input line 3 1439. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [664] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [665] LaTeX Warning: Reference `sec:3dabscissa' on page 666 undefined on input line 3 1538. LaTeX Warning: Reference `sec:3dordinate' on page 666 undefined on input line 3 1587. [666] Overfull \hbox (38.37344pt too wide) in paragraph at lines 31633--31633 []\T1/ptm/b/n/12 The co-or-di-nates of a point, vec-tor or line in the plane: \ T1/pcr/b/n/12 coordinates[] LaTeX Warning: Reference `sec:3dcoordinates' on page 667 undefined on input lin e 31636. [667] [668] Overfull \hbox (54.13019pt too wide) in paragraph at lines 31766--31766 []\T1/ptm/b/n/12 The rect-an-gu-lar co-or-di-nates of a point: \T1/pcr/b/n/12 r ectangular_coordinates[] LaTeX Warning: Reference `sec:3dcarteq' on page 669 undefined on input line 318 20. [669] LaTeX Warning: Reference `sec:3dparam' on page 670 undefined on input line 3184 2. Overfull \hbox (6.71999pt too wide) in paragraph at lines 31890--31890 \T1/pcr/b/n/12 angleat[] angleatraw[] areaat[] areaatraw[] perimeterat[] Overfull \hbox (26.03995pt too wide) in paragraph at lines 31890--31890 \T1/pcr/b/n/12 perimeteratraw[] slopeat[] slopeatraw[] extract_measure[] Overfull \hbox (12.31754pt too wide) in paragraph at lines 31893--31905 \T1/ptm/m/n/10.95 are used to in-ter-ac-tively find and dis-play the ap-pro-pri -ate mea-sure in a two-dimensional [670] LaTeX Warning: Reference `sec:2ddist' on page 671 undefined on input line 31910 . LaTeX Warning: Reference `sec:2dangle' on page 671 undefined on input line 3191 3. LaTeX Warning: Reference `sec:area' on page 671 undefined on input line 31917. LaTeX Warning: Reference `sec:perim' on page 671 undefined on input line 31921. LaTeX Warning: Reference `sec:slope' on page 671 undefined on input line 31926. ( FP-DIV ) ( FP-DIV ) [671] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3ddist' on page 672 undefined on input line 31985 . [672] LaTeX Warning: Reference `sec:measdisplay' on page 673 undefined on input line 32058. LaTeX Warning: Reference `sec:3ddist2' on page 673 undefined on input line 3206 3. LaTeX Warning: Reference `sec:3dangle' on page 673 undefined on input line 3208 4. [673] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [674] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:measdisplay' on page 675 undefined on input line 32146. Overfull \hbox (76.7979pt too wide) in paragraph at lines 32152--32152 []\T1/ptm/b/n/12 The graph-i-cal rep-re-sen-ta-tion of the area of a poly-gon: \T1/pcr/b/n/12 plotarea[]areaplot[] ( FP-DIV ) ( FP-DIV ) [675] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:localfeatures' on page 676 undefined on input lin e 32179. LaTeX Warning: Reference `sec:addlegend' on page 676 undefined on input line 32 180. ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:measdisplay' on page 676 undefined on input line 32222. LaTeX Warning: Reference `sec:arclen' on page 676 undefined on input line 32227 . [676] LaTeX Warning: Reference `sec:measdisplay' on page 677 undefined on input line 32285. Overfull \hbox (2.81087pt too wide) in paragraph at lines 32284--32286 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 perimeter \T1/ptm/m/n/10.95 com-mand has \T1/pcr/m/n/10.95 perimeterat \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 perim eteratraw \T1/ptm/m/n/10.95 ver- [677] LaTeX Warning: Reference `sec:measdisplay' on page 678 undefined on input line 32341. [678] LaTeX Warning: Reference `sec:3dtranslations' on page 679 undefined on input li ne 32431. [679] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dreflections' on page 680 undefined on input lin e 32471. Overfull \hbox (34.02747pt too wide) in paragraph at lines 32475--32479 []\T1/ptm/m/n/10.95 If \T1/pcr/m/n/10.95 reflection \T1/ptm/m/n/10.95 has a sin -gle ar-gu-ment, that ar-gu-ment is a point or line. \T1/pcr/m/n/10.95 reflecti on [680] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3drotations' on page 681 undefined on input line 32518. [681]./cascmd_en.tex:404: Warning: framebox ( FP-DIV./cascmd_en.tex:411: Warning: framebox ./cascmd_en.tex:420: Warning: framebox ) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:465: Warning: framebox ./cascmd_en.tex:468: Warning: framebox ./cascmd_en.tex:477: Warning: framebox ./cascmd_en.tex:496: Warning: Undefined label: 'ssec:CST' ) ( FP-DIV./cascmd_en.tex:509: Warning: framebox ) ( FP-DIV./cascmd_en.tex:548: Warning: framebox ./cascmd_en.tex:571: Warning: framebox ./cascmd_en.tex:574: Warning: framebox ) ( FP-DIV ) [682] LaTeX Warning: Reference `sec:3dhomothety' on page 683 undefined on input line 32565. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [683] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dsimilarity' on page 684 undefined on input line 32617. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [684] Overfull \hbox (6.165pt too wide) in paragraph at lines 32650--32654 \T1/ptm/m/n/10.95 two num-bers as above, and the fourth ar-gu-ment is a ge-o-me t-ric ob-ject. \T1/pcr/m/n/10.95 similarity ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.0701pt too wide) in paragraph at lines 32672--32675 []\T1/ptm/m/n/10.95 Note that for a point \T1/pcr/m/n/10.95 A \T1/ptm/m/n/10.95 and num-bers \T1/pcr/m/n/10.95 k \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 a\T1/ ptm/m/n/10.95 , the com-mand \T1/pcr/m/n/10.95 similarity(A,k,a) LaTeX Warning: Reference `sec:3dinversion' on page 685 undefined on input line 32679. [685] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [686] ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dprojection' on page 687 undefined on input line 32741. ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [687] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3diselem' on page 688 undefined on input line 328 05. [688] Overfull \hbox (12.8854pt too wide) in paragraph at lines 32834--32834 []\T1/ptm/b/n/12 Check if three points are collinear in the plane: \T1/pcr/b/n/ 12 is_collinear[] LaTeX Warning: Reference `sec:3dcheckcollinear' on page 689 undefined on input line 32837. Overfull \hbox (10.13753pt too wide) in paragraph at lines 32866--32866 []\T1/ptm/b/n/12 Check if four points are con-cyclic in the plane: \T1/pcr/b/n/ 12 is_concyclic[] LaTeX Warning: Reference `sec:3dcheckconcycle' on page 689 undefined on input l ine 32869. [689] Overfull \hbox (72.9569pt too wide) in paragraph at lines 32937--32937 []\T1/ptm/b/n/12 Check if an ob-ject is an equi-lat-eral tri-an-gle in the plan e: \T1/pcr/b/n/12 is_equilateral[] LaTeX Warning: Reference `sec:3dcheckequilateral' on page 690 undefined on inpu t line 32940. Overfull \hbox (45.88486pt too wide) in paragraph at lines 32988--32988 []\T1/ptm/b/n/12 Check if an ob-ject in the plane is an isosce-les tri-an-gle: \T1/pcr/b/n/12 is_isosceles[] LaTeX Warning: Reference `sec:3dcheckisosceles' on page 690 undefined on input line 32991. [690] LaTeX Warning: Reference `sec:3dcheckrect' on page 691 undefined on input line 33070. [691] LaTeX Warning: Reference `sec:3dchecksquare' on page 692 undefined on input lin e 33126. [692] LaTeX Warning: Reference `sec:3dcheckrhombus' on page 693 undefined on input li ne 33187. [693] Overfull \hbox (61.73753pt too wide) in paragraph at lines 33251--33251 []\T1/ptm/b/n/12 Check if an ob-ject in the plane is a par-al-lel-o-gram: \T1/p cr/b/n/12 is_parallelogram[] LaTeX Warning: Reference `sec:3dcheckparallelogram' on page 694 undefined on in put line 33254. [694] Underfull \hbox (badness 10000) in paragraph at lines 33316--33319 LaTeX Warning: Reference `sec:3dcheckparallel' on page 695 undefined on input l ine 33323. Overfull \hbox (59.6732pt too wide) in paragraph at lines 33352--33352 []\T1/ptm/b/n/12 Check if two lines in the plane are per-pen-dic-u-lar: \T1/pcr /b/n/12 is_perpendicular[] LaTeX Warning: Reference `sec:3dcheckperp' on page 695 undefined on input line 33355. [695] Overfull \hbox (30.62173pt too wide) in paragraph at lines 33384--33384 []\T1/ptm/b/n/12 Check if two cir-cles in the plane are or-thog-o-nal: \T1/pcr/ b/n/12 is_orthogonal[] LaTeX Warning: Reference `sec:3dcheckorth' on page 696 undefined on input line 33387. [696] Overfull \hbox (41.86461pt too wide) in paragraph at lines 33485--33486 \T1/pcr/m/n/10.95 is_conjugate(point(1+i),point(3+i),point(i),point(3/2+i)) Overfull \hbox (94.42455pt too wide) in paragraph at lines 33495--33496 \T1/pcr/m/n/10.95 is_conjugate(line(0,1+i),line(2,3+i),line(3,4+i),line(3/2,5/ 2+i)) Overfull \hbox (9.80168pt too wide) in paragraph at lines 33504--33504 []\T1/ptm/b/n/12 Check if four points form a har-monic di-vi-sion: \T1/pcr/b/n/ 12 is_harmonic[] [697] Overfull \hbox (11.53027pt too wide) in paragraph at lines 33532--33532 []\T1/ptm/b/n/12 Check if lines are in a bun-dle: \T1/pcr/b/n/12 is_harmonic_li ne_bundle[] Overfull \hbox (113.03943pt too wide) in paragraph at lines 33547--33548 \T1/pcr/m/n/10.95 is_harmonic_line_bundle([line(0,1+i),line(0,2+i),line(0,3+i) ,line(0,1)]) Overfull \hbox (35.0262pt too wide) in paragraph at lines 33555--33555 []\T1/ptm/b/n/12 Check if cir-cles are in a bun-dle: \T1/pcr/b/n/12 is_harmonic _circle_bundle[] Overfull \hbox (73.61948pt too wide) in paragraph at lines 33570--33571 \T1/pcr/m/n/10.95 is_harmonic_circle_bundle([circle(0,i),circle(4,i),circle(0, 1/2)]) [698] Overfull \hbox (69.37915pt too wide) in paragraph at lines 33580--33580 []\T1/ptm/b/n/12 Find a point di-vid-ing a seg-ment in the harminic ra-tio $\OM L/cmm/m/it/12 k$\T1/ptm/b/n/12 : \T1/pcr/b/n/12 division_point[] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 33580. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 33580. ( FP-DIV ) ( FP-DIV ) Overfull \hbox (8.16049pt too wide) in paragraph at lines 33637--33640 \T1/ptm/m/n/10.95 Four collinear points $\OML/cmm/m/it/10.95 A$\T1/ptm/m/n/10.9 5 ,$\OML/cmm/m/it/10.95 B$\T1/ptm/m/n/10.95 ,$\OML/cmm/m/it/10.95 C$ \T1/ptm/m/ n/10.95 and $\OML/cmm/m/it/10.95 D$ \T1/ptm/m/n/10.95 are in har-monic di-vi-si on if $[]\OML/cmm/m/it/10.95 =[] \OT1/cmr/m/n/10.95 = []\OML/cmm/m/it/10.95 =[] $\T1/ptm/m/n/10.95 . [699] Overfull \hbox (5.19618pt too wide) in paragraph at lines 33647--33649 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 harmonic_division \T1/ptm/m/n/10.95 c om-mand takes as ar-gu-ment three collinear points ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.76309pt too wide) in paragraph at lines 33684--33686 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 harmonic_conjugate \T1/ptm/m/n/10.95 co m-mand takes as ar-gu-ments three collinear points, [700] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dinversion' on page 701 undefined on input line 33722. ( FP-DIV ) ( FP-DIV ) [701] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.91956pt too wide) in paragraph at lines 33775--33776 \T1/pcr/m/n/10.95 reciprocation(circle(0,1),[point((1+i)/2),line(1,-1+i)]) ( FP-DIV ) ( FP-DIV ) [702] LaTeX Warning: Reference `sec:element' on page 703 undefined on input line 3380 6. [703] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:element' on page 704 undefined on input line 3387 5. [704] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [705] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [706] [707] [708] Chapter 13. ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.01744pt too wide) in paragraph at lines 34043--34045 \T1/ptm/m/n/10.95 This screen also au-to-mat-i-cally ap-pears when-ever there i s a three-dimensional graphic LaTeX Warning: Reference `sec:dispfeat' on page 709 undefined on input line 340 68. [709] LaTeX Warning: Reference `sec:globpar' on page 710 undefined on input line 3409 4. Overfull \hbox (26.85507pt too wide) in paragraph at lines 34102--34102 []\T1/ptm/b/n/12 Draw unit vec-tors: \T1/pcr/b/n/12 Ox_3d_unit_vector[] Oy_3d_u nit_vector[] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [710] LaTeX Warning: Reference `sec:2dpoint' on page 711 undefined on input line 3413 8. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:localfeatures' on page 711 undefined on input lin e 34165. [711] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (19.86943pt too wide) in paragraph at lines 34188--34188 []\T1/ptm/b/n/12 Find an in-ter-sec-tion point of two ob-jects in space: \T1/pc r/b/n/12 single_inter[] LaTeX Warning: Reference `sec:single2dintersection' on page 712 undefined on in put line 34191. Overfull \hbox (27.62953pt too wide) in paragraph at lines 34210--34210 \T1/pcr/m/n/10.95 single_inter(plane(point(0,1,1),point(1,0,1),point(1,1,0)), [712]./cascmd_en.tex:4233: Warning: \displaystyle ignored LaTeX Warning: Reference `sec:2dintersection' on page 713 undefined on input li ne 34299. Overfull \hbox (7.91956pt too wide) in paragraph at lines 34315--34315 \T1/pcr/m/n/10.95 LA:=inter(plane(point(0,1,1),point(1,0,1),point(1,1,0)), [713] Overfull \hbox (67.04948pt too wide) in paragraph at lines 34333--34334 \T1/pcr/m/n/10.95 LB:=inter(sphere(point(0,0,0),1),line(point(0,0,0),point(1,1 ,1))) Overfull \hbox (86.75946pt too wide) in paragraph at lines 34343--34344 \T1/pcr/m/n/10.95 [[1/sqrt(3),1/sqrt(3),1/sqrt(3)],[-1/sqrt(3),-1/sqrt(3),-1/s qrt(3)]] LaTeX Warning: Reference `sec:2dmidpt' on page 714 undefined on input line 3437 7. [714] Overfull \hbox (22.79753pt too wide) in paragraph at lines 34397--34397 []\T1/ptm/b/n/12 Find the iso-barycen-ter of a set of points in space: \T1/pcr/ b/n/12 isobarycenter[] LaTeX Warning: Reference `sec:2disobarycenter' on page 715 undefined on input l ine 34400. LaTeX Warning: Reference `sec:2dbarycenter' on page 715 undefined on input line 34424. [715] LaTeX Warning: Reference `sec:2dlines' on page 716 undefined on input line 3447 0. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [716] ( FP-DIV./cascmd_en.tex:4567: Warning: Command not found: \* ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dhalflines' on page 717 undefined on input line 34518. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [717]./cascmd_en.tex:4860: Warning: Command not found: \* LaTeX Warning: Reference `sec:2dsegments' on page 718 undefined on input line 3 4537. ( FP-DIV ) ( FP-MUL./cascmd_en.tex:4865: Warning: Command not found: \* ) ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:4888: Warning: Command not found: \* LaTeX Warning: Reference `sec:2dvectors' on page 718 undefined on input line 34 557. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [718] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [719] LaTeX Warning: Reference `sec:2dparallel' on page 720 undefined on input line 3 4610. Overfull \hbox (22.15463pt too wide) in paragraph at lines 34621--34622 \T1/pcr/m/n/10.95 parallel(point(1,1,1),line(point(0,0,0),point(0,0,1))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [720] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (114.13452pt too wide) in paragraph at lines 34646--34647 \T1/pcr/m/n/10.95 parallel(point(0,0,0),plane(point(1,0,0),point(0,1,0),point( 0,0,1))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.15463pt too wide) in paragraph at lines 34659--34659 \T1/pcr/m/n/10.95 parallel(point(1,1,1),line(point(0,0,0),point(0,0,1)), [721] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dperp' on page 722 undefined on input line 34671 . Overfull \hbox (55.0046pt too wide) in paragraph at lines 34682--34683 \T1/pcr/m/n/10.95 perpendicular(point(0,0,0),line(point(1,0,0),point(0,1,0))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [722] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (35.29462pt too wide) in paragraph at lines 34715--34716 \T1/pcr/m/n/10.95 orthogonal(point(0,0,0),line(point(1,0,0),point(0,1,0))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:6059: Warning: Bad index syntax: '|' ) Underfull \vbox (badness 5133) has occurred while \output is active [723] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (40.64159pt too wide) in paragraph at lines 34736--34736 []\T1/ptm/b/n/12 Common per-pen-dic-u-lars to lines in space: \T1/pcr/b/n/12 co mmon_perpendicular[] [724] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:3dperp' on page 725 undefined on input line 34762 . LaTeX Warning: Reference `sec:3dorthogonal' on page 725 undefined on input line 34762. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [725] LaTeX Warning: Reference `sec:2dperpbis' on page 726 undefined on input line 34 797. Overfull \hbox (5.38258pt too wide) in paragraph at lines 34800--34802 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 perpen_bisector \T1/ptm/m/n/10.95 com -mand takes as ar-gu-ment a seg-ment or two points. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dtangents' on page 726 undefined on input line 3 4825. [726] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dtricommand' on page 727 undefined on input line 34878. [727] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2disotriangles' on page 728 undefined on input li ne 34905. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [728] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [729] LaTeX Warning: Reference `sec:2dright' on page 730 undefined on input line 3497 1. Overfull \hbox (0.88669pt too wide) in paragraph at lines 34976--34985 \T1/pcr/m/n/10.95 right_triangle(A,B,P) \T1/ptm/m/n/10.95 re-turns and draws th e right tri-an-gle \T1/pcr/m/n/10.95 BAC \T1/ptm/m/n/10.95 with ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [730] ( FP-DIV ) ( FP-MUL ) ( FP-DIV./cascmd_en.tex:7539: Warning: \displaystyle ignored ./cascmd_en.tex:7541: Warning: \displaystyle ignored ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dequi' on page 731 undefined on input line 35053 . [731] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dquad' on page 732 undefined on input line 35099 . LaTeX Warning: Reference `sec:2dsquares' on page 732 undefined on input line 35 104. [732] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2drhombuses' on page 733 undefined on input line 35150. [733]./cascmd_en.tex:7851: Warning: \displaystyle ignored ./cascmd_en.tex:7852: Warning: \displaystyle ignored ( FP-DIV./cascmd_en.tex:7853: Warning: \displaystyle ignored ./cascmd_en.tex:7855: Warning: \displaystyle ignored ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:7884: Warning: \displaystyle ignored ./cascmd_en.tex:7885: Warning: \displaystyle ignored ./cascmd_en.tex:7891: Warning: \displaystyle ignored ./cascmd_en.tex:7892: Warning: \displaystyle ignored ./cascmd_en.tex:7899: Warning: \displaystyle ignored ./cascmd_en.tex:7905: Warning: \displaystyle ignored ( FP-DIV./cascmd_en.tex:7906: Warning: \displaystyle ignored ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 2662) has occurred while \output is active [734] LaTeX Warning: Reference `sec:2drect' on page 735 undefined on input line 35217 . ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [735] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dparallelograms' on page 736 undefined on input line 35288. [736] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dquads' on page 737 undefined on input line 3533 2. Overfull \hbox (73.61948pt too wide) in paragraph at lines 35340--35341 \T1/pcr/m/n/10.95 quadrilateral(point(0,0,0),point(0,1,0),point(0,2,2),point(1 ,0,2)) ( FP-DIV ) ( FP-DIV ) [737] LaTeX Warning: Reference `sec:2dpolygons' on page 738 undefined on input line 3 5350. LaTeX Warning: Reference `sec:2dhex' on page 738 undefined on input line 35355. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [738] LaTeX Warning: Reference `sec:2dregpoly' on page 739 undefined on input line 35 401. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [739] LaTeX Warning: Reference `sec:2dgenpolygon' on page 740 undefined on input line 35442. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dpolylines' on page 740 undefined on input line 35470. [740] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dcircles' on page 741 undefined on input line 35 492. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:8614: Warning: \displaystyle ignored ) [741] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) LaTeX Warning: Reference `sec:2dellipse' on page 742 undefined on input line 35 534. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 3965) has occurred while \output is active [742] LaTeX Warning: Reference `sec:2dhyperbola' on page 743 undefined on input line 35556. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:8862: Warning: \displaystyle ignored LaTeX Warning: Reference `sec:2dparabola' on page 743 undefined on input line 3 5578. [743./cascmd_en.tex:8872: Warning: \displaystyle ignored ]./cascmd_en.tex:8883: Warning: \displaystyle ignored ./cascmd_en.tex:8893: Warning: \displaystyle ignored ( FP-DIV./cascmd_en.tex:8903: Warning: \displaystyle ignored ./cascmd_en.tex:8913: Warning: \displaystyle ignored ) ( FP-MUL ) ( FP-DIV./cascmd_en.tex:8944: Warning: \displaystyle ignored ) ( FP-DIV./cascmd_en.tex:8990: Warning: \displaystyle ignored ./cascmd_en.tex:9000: Warning: \displaystyle ignored ) ./cascmd_en.tex:9070: Warning: \displaystyle ignored LaTeX Warning: Reference `sec:2dabscissa' on page 744 undefined on input line 3 5602. LaTeX Warning: Reference `sec:2dordinate' on page 744 undefined on input line 3 5623. [744]./cascmd_en.tex:9081: Warning: \displaystyle ignored ./cascmd_en.tex:9092: Warning: \displaystyle ignored Overfull \hbox (20.08562pt too wide) in paragraph at lines 35659--35659 []\T1/ptm/b/n/12 The co-or-di-nates of a point, vec-tor or line in space: \T1/p cr/b/n/12 coordinates[] LaTeX Warning: Reference `sec:2dcoordinates' on page 745 undefined on input lin e 35662. Overfull \hbox (23.37273pt too wide) in paragraph at lines 35681--35685 []\T1/ptm/m/n/10.95 If the ar-gu-ment is a vec-tor, for ex-am-ple from point \T 1/pcr/m/n/10.95 A \T1/ptm/m/n/10.95 to point \T1/pcr/m/n/10.95 B\T1/ptm/m/n/10. 95 , then \T1/pcr/m/n/10.95 coordinates [745] LaTeX Warning: Reference `sec:2dcarteq' on page 746 undefined on input line 357 48. LaTeX Warning: Reference `sec:2dparam' on page 746 undefined on input line 3578 5. Overfull \hbox (67.04948pt too wide) in paragraph at lines 35824--35825 \T1/pcr/m/n/10.95 normal(parameq(ellipse(point(-1,1,1),point(1,1,1),point(0,1, 2)))) [746]./cascmd_en.tex:9171: Warning: '_' occurring outside math mode LaTeX Warning: Reference `sec:2ddist' on page 747 undefined on input line 35835 . LaTeX Warning: Reference `sec:2ddist2' on page 747 undefined on input line 3586 3. LaTeX Warning: Reference `sec:2dangle' on page 747 undefined on input line 3589 1. Underfull \hbox (badness 10000) in paragraph at lines 35894--35895 [747]./cascmd_en.tex:9194: Warning: '_' occurring outside math mode Overfull \hbox (1.85773pt too wide) in paragraph at lines 35938--35938 []\T1/ptm/b/n/12 Check if an ob-ject in space is on an-other ob-ject: \T1/pcr/b /n/12 is_element[] LaTeX Warning: Reference `sec:2diselem' on page 748 undefined on input line 359 41. [748] Overfull \hbox (21.26125pt too wide) in paragraph at lines 35985--35985 []\T1/ptm/b/n/12 Check if points and/or lines in space are copla-nar: \T1/pcr/b /n/12 is_coplanar[] Overfull \hbox (34.19952pt too wide) in paragraph at lines 36029--36030 \T1/pcr/m/n/10.95 is_coplanar(line([-1,2,0],[1,2,-3]),line([1,1,-2],[2,1,-3])) Overfull \hbox (16.59305pt too wide) in paragraph at lines 36038--36038 []\T1/ptm/b/n/12 Check if lines and/or planes in space are par-al-lel: \T1/pcr/ b/n/12 is_parallel[] LaTeX Warning: Reference `sec:2dcheckparallel' on page 749 undefined on input l ine 36041. [749] Overfull \hbox (85.80864pt too wide) in paragraph at lines 36101--36101 []\T1/ptm/b/n/12 Check if lines and/or planes in space are per-pen-dic-u-lar: \ T1/pcr/b/n/12 is_perpendicular[] LaTeX Warning: Reference `sec:2dcheckperp' on page 750 undefined on input line 36104. Overfull \hbox (2.15216pt too wide) in paragraph at lines 36107--36109 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 is_perpendicular \T1/ptm/m/n/10.95 co m-mand takes as ar-gu-ments two lines, two planes Overfull \hbox (67.04948pt too wide) in paragraph at lines 36118--36119 \T1/pcr/m/n/10.95 is_perpendicular(line([2,3,-2],[-1,-1,-1]),line([1,0,0],[1,2 ,8])) [750]./cascmd_en.tex:9221: Warning: '_' occurring outside math mode LaTeX Warning: Reference `sec:2dcheckorth' on page 751 undefined on input line 36162. Overfull \hbox (47.33951pt too wide) in paragraph at lines 36176--36177 \T1/pcr/m/n/10.95 is_orthogonal(line([2,3,-2],[-1,-1,-1]),line([1,0,0],[1,2,8] )) Overfull \hbox (47.33951pt too wide) in paragraph at lines 36208--36209 \T1/pcr/m/n/10.95 is_orthogonal(sphere([0,0,0],sqrt(2)),sphere([2,0,0],sqrt(2) )) [751] LaTeX Warning: Reference `sec:2dcheckcollinear' on page 752 undefined on input line 36220. LaTeX Warning: Reference `sec:2dcheckconcycle' on page 752 undefined on input l ine 36254. Overfull \hbox (13.65358pt too wide) in paragraph at lines 36287--36287 []\T1/ptm/b/n/12 Check if five points in space are co-spher-i-cal: \T1/pcr/b/n/ 12 is_cospherical[] [752]./cascmd_en.tex:9277: Warning: \displaystyle ignored Overfull \hbox (1.34956pt too wide) in paragraph at lines 36312--36313 \T1/pcr/m/n/10.95 is_cospherical([2,0,0],[0,2,0],[1,1,0],[0,0,2],[1,1,1]) Overfull \hbox (54.66907pt too wide) in paragraph at lines 36320--36320 []\T1/ptm/b/n/12 Check if an ob-ject in space is an equi-lat-eral tri-an-gle: \ T1/pcr/b/n/12 is_equilateral[] LaTeX Warning: Reference `sec:2dcheckequilateral' on page 753 undefined on inpu t line 36323. Overfull \hbox (33.59703pt too wide) in paragraph at lines 36372--36372 []\T1/ptm/b/n/12 Check if an ob-ject in space is an isosce-les tri-an-gle: \T1/ pcr/b/n/12 is_isosceles[] LaTeX Warning: Reference `sec:2dcheckisosceles' on page 753 undefined on input line 36375. [753]./cascmd_en.tex:9284: Warning: \displaystyle ignored LaTeX Warning: Reference `sec:2dcheckrect' on page 754 undefined on input line 36437. [754] LaTeX Warning: Reference `sec:2dchecksquare' on page 755 undefined on input lin e 36480. LaTeX Warning: Reference `sec:2dcheckrhombus' on page 755 undefined on input li ne 36534. [755] Overfull \hbox (43.4497pt too wide) in paragraph at lines 36585--36585 []\T1/ptm/b/n/12 Check if an ob-ject in space is a par-al-lel-o-gram: \T1/pcr/b /n/12 is_parallelogram[] LaTeX Warning: Reference `sec:2dcheckparallelogram' on page 756 undefined on in put line 36588. [756] LaTeX Warning: Reference `sec:2dtranslations' on page 757 undefined on input li ne 36699. [757] Overfull \hbox (42.4051pt too wide) in paragraph at lines 36737--36737 []\T1/ptm/b/n/12 Reflection in space with re-spect to a plane, line or point: \ T1/pcr/b/n/12 reflection[] LaTeX Warning: Reference `sec:2dreflections' on page 758 undefined on input lin e 36740. LaTeX Warning: Reference `sec:2drotations' on page 758 undefined on input line 36782. [758] LaTeX Warning: Reference `sec:2dhomothety' on page 759 undefined on input line 36841. [759] LaTeX Warning: Reference `sec:2dsimilarity' on page 760 undefined on input line 36895. LaTeX Warning: Reference `sec:2dinversion' on page 760 undefined on input line 36959. [760./cascmd_en.tex:9635: Warning: \displaystyle ignored ]./cascmd_en.tex:9635: Warning: \displaystyle ignored Underfull \hbox (badness 10000) in paragraph at lines 37007--37010 LaTeX Warning: Reference `sec:2dprojection' on page 761 undefined on input line 37037. Overfull \hbox (7.91956pt too wide) in paragraph at lines 37067--37068 \T1/pcr/m/n/10.95 projection(plane(point(1,0,0),point(0,0,0),point(1,1,1)) [761] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL./cascmd_en.tex:9733: Warning: Application of '\~' on 'c_n' failed ) ( FP-DIV./cascmd_en.tex:9736: Warning: Application of '\~' on 'c_n' failed ) ( FP-DIV./cascmd_en.tex:9745: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9745: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9745: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9749: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9750: Warning: Application of '\~' on 'c' failed ) [762]./cascmd_en.tex:9759: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9765: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9766: Warning: Application of '\~' on 'c' failed ./cascmd_en.tex:9773: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9774: Warning: Application of '\~' on 'c_n' failed ./cascmd_en.tex:9776: Warning: Application of '\~' on 'c_n' failed ( FP-DIV./cascmd_en.tex:9786: Warning: Application of '\~' on 'c_n' failed ) ( FP-MUL ) ( FP-DIV./cascmd_en.tex:9791: Warning: Application of '\~' on 'c_n' failed ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV./cascmd_en.tex:9936: Warning: \displaystyle ignored ) ( FP-DIV ) [763] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (230.02115pt too wide) in paragraph at lines 37235--37240 []\T1/pcr/m/n/10.95 paramplot \T1/ptm/m/n/10.95 re-turns and draws the pa-ram-e -ter-ized sur-face; the com-mand \T1/pcr/m/n/10.95 paramplot([f(u,v),g(u,v),h(u ,v)],[u,v]) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [764] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [765] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [766] Underfull \hbox (badness 10000) in paragraph at lines 37323--37326 ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [767] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [768] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [769] Overfull \hbox (47.33951pt too wide) in paragraph at lines 37436--37437 \T1/pcr/m/n/10.95 vertices(polyhedron([0,0,0],[-2,0,0],[2,0,0],[0,2,0],[0,0,2] )) Overfull \hbox (106.46944pt too wide) in paragraph at lines 37461--37462 \T1/pcr/m/n/10.95 faces(polyhedron([1,-1,0],[1,1,0],[0,0,2],[0,0,-2],[-1,1,0], [-1,-1,0])) Overfull \hbox (7.91956pt too wide) in paragraph at lines 37466--37466 \T1/pcr/m/n/10.95 [[[1,-1,0],[1,1,0],[0,0,2]],[[1,-1,0],[1,1,0],[0,0,-2]], Overfull \hbox (27.62953pt too wide) in paragraph at lines 37467--37467 []\T1/pcr/m/n/10.95 [[1,-1,0],[0,0,2],[-1,-1,0]],[[1,-1,0],[0,0,-2],[-1,-1,0]] , Overfull \hbox (1.34956pt too wide) in paragraph at lines 37468--37468 []\T1/pcr/m/n/10.95 [[1,1,0],[0,0,2],[-1,1,0]],[[1,1,0],[0,0,-2],[-1,1,0]], Overfull \hbox (27.62953pt too wide) in paragraph at lines 37469--37470 []\T1/pcr/m/n/10.95 [[0,0,2],[-1,1,0],[-1,-1,0]],[[0,0,-2],[-1,1,0],[-1,-1,0]] ] Overfull \hbox (80.18947pt too wide) in paragraph at lines 37484--37485 \T1/pcr/m/n/10.95 line_segments(polyhedron([0,0,0],[-2,0,0],[2,0,0],[0,2,0],[0 ,0,2])) [770] Overfull \hbox (99.89944pt too wide) in paragraph at lines 37493--37494 \T1/pcr/m/n/10.95 line_segments(polyhedron([0,0,0],[-2,0,0],[2,0,0],[0,2,0],[0 ,0,2]))[1] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [771] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [772] ( FP-DIV./cascmd_en.tex:10792: Warning: Command not found: \talloblong ./cascmd_en.tex:10792: Warning: Command not found: \talloblong ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ./cascmd_en.tex:10867: Warning: Command not found: \talloblong ./cascmd_en.tex:10867: Warning: Command not found: \talloblong ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [773] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [774] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV./cascmd_en.tex:11246: Warning: \displaystyle ignored ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [775] [776] Chapter 14. [777] [778] LaTeX Warning: Reference `sec:imagestruct' on page 779 undefined on input line 37832. Overfull \hbox (7.91956pt too wide) in paragraph at lines 37847--37848 \T1/pcr/m/n/10.95 sphere([0,0,0],1,gl_material=[gl_texture,"picture.jpg"]) [779] LaTeX Warning: Reference `sec:imagestruct' on page 780 undefined on input line 37860. Overfull \hbox (4.64848pt too wide) in paragraph at lines 37864--37866 []\T1/ptm/m/n/10.95 As an ex-am-ple, sup-pose the fol-low-ing im-age is stored in file \T1/pcr/m/n/10.95 image1234.jpg\T1/ptm/m/n/10.95 . 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win-dow func-tion : \T1/pcr/m/n/1 0.95 blackman_harris_window[][][] [][] Overfull \hbox (3.7465pt too wide) in paragraph at lines 374--374 [][] [][][]\T1/ptm/m/n/10.95 Hann-Poisson win-dow func-tion : \T1/pcr/m/n/10.9 5 hann_poisson_window[][][] [][] [11] Overfull \hbox (1.80536pt too wide) in paragraph at lines 445--445 [][] [][][]\T1/ptm/m/n/10.95 Sturm se-quences and num-ber of sign changes of $ \OML/cmm/m/it/10.95 P$ \T1/ptm/m/n/10.95 on $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 a; b\OT1/cmr/m/n/10.95 ]$ [12] Overfull \hbox (21.29884pt too wide) in paragraph at lines 473--473 [][] [][][]\T1/ptm/m/n/10.95 Exact bounds for com-plex roots of a poly-no-mial : \T1/pcr/m/n/10.95 complexroot[][][] [][] Overfull \hbox (40.97552pt too wide) in paragraph at lines 476--476 [][] [][][]\T1/ptm/m/n/10.95 Exact bounds for pos-i-tive real roots of a poly- no-mial: \T1/pcr/m/n/10.95 VAS_positive[][][] [][] Overfull \hbox (16.19571pt too wide) in paragraph at lines 479--479 [][] [][][]\T1/ptm/m/n/10.95 Exact val-ues of ra-tio-nal roots of a poly-no-mi al : \T1/pcr/m/n/10.95 rationalroot[][][] [][] Overfull \hbox (6.61986pt too wide) in paragraph at lines 500--500 [][] [][][]\T1/ptm/m/n/10.95 Inverse of a ma-trix with co-ef-fi-cients in $\U/ msb/m/n/10.95 Z\OML/cmm/m/it/10.95 =p\U/msb/m/n/10.95 Z$ \T1/ptm/m/n/10.95 : \T 1/pcr/m/n/10.95 inv inverse[][][] [][] [13] Overfull \hbox (11.91466pt too wide) in paragraph at lines 523--523 [][] [][][]\T1/ptm/m/n/10.95 Ranges of val-ues de-fined by their cen-ter : \T1 /pcr/m/n/10.95 center2interval[][][] [][] [14] Overfull \hbox (2.72713pt too wide) in paragraph at lines 583--583 [][] [][][]\T1/ptm/m/n/10.95 Number of el-e-ments smaller than a given value : \T1/pcr/m/n/10.95 count_inf[][][] [][] Overfull \hbox (0.88774pt too wide) in paragraph at lines 584--584 [][] [][][]\T1/ptm/m/n/10.95 Number of el-e-ments greater than a given value : \T1/pcr/m/n/10.95 count_sup[][][] [][] [15] Overfull \hbox (222.77876pt too wide) in paragraph at lines 609--609 [][] [][][]\T1/ptm/m/n/10.95 Statistics func-tions : \T1/pcr/m/n/10.95 mean,va riance,stddev, stddevp,median,quantile,quartiles,boxwhisker[][][] [][] Overfull \hbox (26.93784pt too wide) in paragraph at lines 615--615 [][] [][][]\T1/ptm/m/n/10.95 Diagonal of a ma-trix or ma-trix of a di-ag-o-nal : \T1/pcr/m/n/10.95 BlockDiagonal [16] Overfull \hbox (26.35904pt too wide) in paragraph at lines 646--646 [][] [][][]\T1/ptm/m/n/10.95 Add $\OML/cmm/m/it/10.95 k$ \T1/ptm/m/n/10.95 tim es a row to an an-other row : \T1/pcr/m/n/10.95 mRowAdd, scaleadd, Overfull \hbox (6.82379pt too wide) in paragraph at lines 648--648 [][] [][][]\T1/ptm/m/n/10.95 Exchange two columns : \T1/pcr/m/n/10.95 colSwap, colswap, swapcol[][][] [][] Overfull \hbox (10.19728pt too wide) in paragraph at lines 657--657 \T1/pcr/m/n/10.95 stddev\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 variance\T1/ptm/ m/n/10.95 , \T1/pcr/m/n/10.95 median\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 quant ile\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 quartiles\T1/ptm/m/n/10.95 , [17] Overfull \hbox (11.68524pt too wide) in paragraph at lines 708--708 [][] [][][]\T1/ptm/m/n/10.95 The op-er-a-tor norm of a ma-trix: \T1/pcr/m/n/10 .95 matrix_norm, l1norm, Overfull \hbox (15.18993pt too wide) in paragraph at lines 712--712 [][] [][][]\T1/ptm/m/n/10.95 Eigenvectors : \T1/pcr/m/n/10.95 egv eigenvectors eigenvects eigVc[][][] [][] Overfull \hbox (76.58414pt too wide) in paragraph at lines 717--717 [][] [][][]\T1/ptm/m/n/10.95 Characteristic poly-no-mial us-ing Hes-sen-berg a l-go-rithm : \T1/pcr/m/n/10.95 pcar_hessenberg[][][] [][] Overfull \hbox (2.24606pt too wide) in paragraph at lines 742--742 [][] [][][]\T1/ptm/m/n/10.95 The con-ju-gate gra-di-ent al-go-rithm: \T1/pcr/m /n/10.95 conjugate_gradient[][][] [][] [18] Overfull \hbox (14.93695pt too wide) in paragraph at lines 776--776 [][] [][][]\T1/ptm/m/n/10.95 Solving dif-fer-en-tial equa-tions : \T1/pcr/m/n/ 10.95 desolve deSolve dsolve[][][] [][] Overfull \hbox (10.44688pt too wide) in paragraph at lines 777--777 [][] [][][]\T1/ptm/m/n/10.95 Laplace trans-form and in-verse Laplace trans-for m : \T1/pcr/m/n/10.95 laplace [19] Overfull \hbox (93.6232pt too wide) in paragraph at lines 794--794 [][] [][][]\T1/ptm/m/n/10.95 Computing the cur-va-ture and re-lated val-ues: \ T1/pcr/m/n/10.95 curvature, osculating_circle, Overfull \hbox (1.0971pt too wide) in paragraph at lines 801--801 [][] [][][]\T1/ptm/m/n/10.95 Graph of a func-tion : \T1/pcr/m/n/10.95 plotfunc funcplot DrawFunc Graph[][][] [][] Overfull \hbox (58.8789pt too wide) in paragraph at lines 816--816 [][] [][][]\T1/ptm/m/n/10.95 Graph of in-equal-i-ties with 2 vari-ables : \T1/ pcr/m/n/10.95 plotinequation inequationplot[][][] [][] Overfull \hbox (23.28116pt too wide) in paragraph at lines 820--820 [][] [][][]\T1/ptm/m/n/10.95 2-d graph of a 2-d func-tion with col-ors : \T1/p cr/m/n/10.95 plotdensity densityplot[][][] [][] Overfull \hbox (24.23358pt too wide) in paragraph at lines 824--824 [][] [][][]\T1/ptm/m/n/10.95 Parametric curves and sur-faces : \T1/pcr/m/n/10. 95 plotparam paramplot DrawParm[][][] [][] Overfull \hbox (21.6381pt too wide) in paragraph at lines 826--826 [][] [][][]\T1/ptm/m/n/10.95 3D para-met-ric sur-face : \T1/pcr/m/n/10.95 plot param paramplot DrawParm[][][] [][] Overfull \hbox (20.05103pt too wide) in paragraph at lines 829--829 [][] [][][]\T1/ptm/m/n/10.95 Graph of a re-cur-rent se-quence : \T1/pcr/m/n/10 .95 plotseq seqplot graphe_suite[][][] [][] Overfull \hbox (86.31862pt too wide) in paragraph at lines 832--832 [][] [][][]\T1/ptm/m/n/10.95 Interactive plot-ting of so-lu-tions of a dif-fer -en-tial equa-tion : \T1/pcr/m/n/10.95 interactive_plotode [20] Overfull \hbox (107.82607pt too wide) in paragraph at lines 850--850 [][] [][][]\T1/ptm/m/n/10.95 Cumulative fre-quen-cies: \T1/pcr/m/n/10.95 cumul ated_frequencies frequences_cumulees[][][] [][] Overfull \hbox (7.56804pt too wide) in paragraph at lines 854--854 [][] [][][]\T1/ptm/m/n/10.95 Covariance and cor-re-la-tion: \T1/pcr/m/n/10.95 covariance correlation Overfull \hbox (73.54204pt too wide) in paragraph at lines 857--857 [][] [][][]\T1/ptm/m/n/10.95 Linear re-gres-sion: \T1/pcr/m/n/10.95 linear_reg ression linear_regression_plot[][][] [][] Overfull \hbox (59.52612pt too wide) in paragraph at lines 860--860 [][] [][][]\T1/ptm/m/n/10.95 Power re-gres-sion: \T1/pcr/m/n/10.95 power_regre ssion power_regression_plot[][][] [][] Overfull \hbox (148.02357pt too wide) in paragraph at lines 861--861 [][] [][][]\T1/ptm/m/n/10.95 Polynomial re-gres-sion: \T1/pcr/m/n/10.95 polyno mial_regression polynomial_regression_plot[][][] [][] Overfull \hbox (107.13638pt too wide) in paragraph at lines 862--862 [][] [][][]\T1/ptm/m/n/10.95 Logistic re-gres-sion: \T1/pcr/m/n/10.95 logistic _regression logistic_regression_plot[][][] [][] Overfull \hbox (16.18495pt too wide) in paragraph at lines 865--865 [][] [][][]\T1/ptm/m/n/10.95 Initializing the ran-dom num-ber gen-er-a-tor: \T 1/pcr/m/n/10.95 srand randseed Overfull \hbox (37.53712pt too wide) in paragraph at lines 869--869 [][] [][][]\T1/ptm/m/n/10.95 Producing ran-dom num-bers with a nor-mal dis-tri -bu-tion: \T1/pcr/m/n/10.95 randnorm [21] Overfull \hbox (1.58925pt too wide) in paragraph at lines 871--871 [][] [][][]\T1/ptm/m/n/10.95 Producing ran-dom ma-tri-ces: \T1/pcr/m/n/10.95 r andmatrix ranm randMat[][][] [][] [22] Overfull \hbox (2.9243pt too wide) in paragraph at lines 966--966 [][] [][][]\T1/ptm/m/n/10.95 Approximate com-pu-ta-tion of the deriva-tive num -ber : \T1/pcr/m/n/10.95 nDeriv[][][] [][] Overfull \hbox (6.59406pt too wide) in paragraph at lines 979--979 [][] [][][]\T1/pcr/m/n/10.95 fsolve \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 nSo lve \T1/ptm/m/n/10.95 with the op-tion \T1/pcr/m/n/10.95 steffenson_solver[][][ ] [][] Overfull \hbox (49.72504pt too wide) in paragraph at lines 996--996 [][] [][][]\T1/ptm/m/n/10.95 Convert be-tween Cel-sius and Fahren-heit: \T1/pc r/m/n/10.95 Celsius2Fahrenheit, Overfull \hbox (17.2594pt too wide) in paragraph at lines 1006--1006 [][] [][][]\T1/ptm/m/n/10.95 Functions: \T1/pcr/m/n/10.95 function, endfunctio n, { }, local, [23] Overfull \hbox (3.39691pt too wide) in paragraph at lines 1026--1026 [][] [][][]\T1/ptm/m/n/10.95 The for loop: \T1/pcr/m/n/10.95 for, from, to, st ep, do, end_for[][][] [][] Overfull \hbox (27.08214pt too wide) in paragraph at lines 1048--1048 \T1/pcr/m/n/10.95 cont, kill, break, breakpoint, halt, rmbrk, [24] Overfull \hbox (4.34854pt too wide) in paragraph at lines 1083--1083 [][] [][][]\T1/ptm/m/n/10.95 Points in po-lar co-or-di-nates: \T1/pcr/m/n/10.9 5 polar_point\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 point_polar[][][] [][] Overfull \hbox (5.02676pt too wide) in paragraph at lines 1086--1086 [][] [][][]\T1/ptm/m/n/10.95 Find the or-tho-cen-ter of a tri-an-gle in the pl ane: \T1/pcr/m/n/10.95 orthocenter[][][] [][] Overfull \hbox (3.80327pt too wide) in paragraph at lines 1089--1089 [][] [][][]\T1/ptm/m/n/10.95 The iso-barycen-ter of $\OML/cmm/m/it/10.95 n$ \T 1/ptm/m/n/10.95 points in the plane: \T1/pcr/m/n/10.95 isobarycenter[][][] [][] Overfull \hbox (37.05617pt too wide) in paragraph at lines 1091--1091 [][] [][][]\T1/ptm/m/n/10.95 The ver-tices of a poly-gon in the plane: \T1/pcr /m/n/10.95 vertices\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 vertices_abc[][][] [][ ] Overfull \hbox (19.04308pt too wide) in paragraph at lines 1092--1092 [][] [][][]\T1/ptm/m/n/10.95 The ver-tices of a poly-gon in the plane, closed: \T1/pcr/m/n/10.95 vertices_abca[][][] [][] Overfull \hbox (62.75491pt too wide) in paragraph at lines 1104--1104 [][] [][][]\T1/ptm/m/n/10.95 The per-pen-dic-u-lar bi-sec-tor of a seg-ment in the plane: \T1/pcr/m/n/10.95 perpen_bisector[][][] [][] [25] Overfull \hbox (10.83041pt too wide) in paragraph at lines 1111--1111 [][] [][][]\T1/ptm/m/n/10.95 Equilateral tri-an-gles in the plane: \T1/pcr/m/n /10.95 equilateral_triangle[][][] [][] Overfull \hbox (54.49922pt too wide) in paragraph at lines 1142--1142 [][] [][][]\T1/ptm/m/n/10.95 The rect-an-gu-lar co-or-di-nates of a point: \T1 /pcr/m/n/10.95 rectangular_coordinates[][][] [][] Overfull \hbox (15.07962pt too wide) in paragraph at lines 1147--1147 [][] [][][]\T1/ptm/m/n/10.95 Measurement and dis-play: \T1/pcr/m/n/10.95 dista nceat distanceatraw Overfull \hbox (35.40416pt too wide) in paragraph at lines 1147--1147 \T1/pcr/m/n/10.95 angleat angleatraw areaat areaatraw perimeterat Overfull \hbox (42.08363pt too wide) in paragraph at lines 1147--1147 \T1/pcr/m/n/10.95 perimeteratraw slopeat slopeatraw extract_measure[][][] [][] [26] Overfull \hbox (71.90924pt too wide) in paragraph at lines 1151--1151 [][] [][][]\T1/ptm/m/n/10.95 The graph-i-cal rep-re-sen-ta-tion of the area of a poly-gon: \T1/pcr/m/n/10.95 plotareaareaplot[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1156 \T1/ptm/m/n/10.95 12.14.10 Overfull \hbox (3.28497pt too wide) detected at line 1157 \T1/ptm/m/n/10.95 12.14.11 Overfull \hbox (3.28497pt too wide) detected at line 1158 \T1/ptm/m/n/10.95 12.14.12 Overfull \hbox (15.8451pt too wide) in paragraph at lines 1170--1170 [][] [][][]\T1/ptm/m/n/10.95 Check if three points are collinear in the plane: \T1/pcr/m/n/10.95 is_collinear[][][] [][] Overfull \hbox (15.68121pt too wide) in paragraph at lines 1171--1171 [][] [][][]\T1/ptm/m/n/10.95 Check if four points are con-cyclic in the plane: \T1/pcr/m/n/10.95 is_concyclic[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1178 \T1/ptm/m/n/10.95 12.16.10 Overfull \hbox (53.93997pt too wide) in paragraph at lines 1178--1178 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in the plane is a par-al-lel- o-gram: \T1/pcr/m/n/10.95 is_parallelogram[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1179 \T1/ptm/m/n/10.95 12.16.11 Overfull \hbox (3.28497pt too wide) detected at line 1180 \T1/ptm/m/n/10.95 12.16.12 Overfull \hbox (52.35243pt too wide) in paragraph at lines 1180--1180 [][] [][][]\T1/ptm/m/n/10.95 Check if two lines in the plane are per-pen-dic-u -lar: \T1/pcr/m/n/10.95 is_perpendicular[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1181 \T1/ptm/m/n/10.95 12.16.13 Overfull \hbox (27.78073pt too wide) in paragraph at lines 1181--1181 [][] [][][]\T1/ptm/m/n/10.95 Check if two cir-cles in the plane are or-thog-o- nal: \T1/pcr/m/n/10.95 is_orthogonal[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1182 \T1/ptm/m/n/10.95 12.16.14 Overfull \hbox (3.28497pt too wide) detected at line 1183 \T1/ptm/m/n/10.95 12.16.15 Overfull \hbox (8.77176pt too wide) in paragraph at lines 1183--1183 [][] [][][]\T1/ptm/m/n/10.95 Check if four points form a har-monic di-vi-sion: \T1/pcr/m/n/10.95 is_harmonic[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1184 \T1/ptm/m/n/10.95 12.16.16 Overfull \hbox (15.0139pt too wide) in paragraph at lines 1184--1184 [][] [][][]\T1/ptm/m/n/10.95 Check if lines are in a bun-dle: \T1/pcr/m/n/10.9 5 is_harmonic_line_bundle[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1185 \T1/ptm/m/n/10.95 12.16.17 Overfull \hbox (36.04865pt too wide) in paragraph at lines 1185--1185 [][] [][][]\T1/ptm/m/n/10.95 Check if cir-cles are in a bun-dle: \T1/pcr/m/n/1 0.95 is_harmonic_circle_bundle[][][] [][] [27] Overfull \hbox (52.95624pt too wide) in paragraph at lines 1203--1203 [][] [][][]\T1/ptm/m/n/10.95 Draw unit vec-tors: \T1/pcr/m/n/10.95 Ox_3d_unit_ vector Oy_3d_unit_vector Overfull \hbox (39.48607pt too wide) in paragraph at lines 1207--1207 [][] [][][]\T1/ptm/m/n/10.95 Find an in-ter-sec-tion point of two ob-jects in space: \T1/pcr/m/n/10.95 single_inter Overfull \hbox (31.19699pt too wide) in paragraph at lines 1210--1210 [][] [][][]\T1/ptm/m/n/10.95 Find the iso-barycen-ter of a set of points in sp ace: \T1/pcr/m/n/10.95 isobarycenter[][][] [][] Overfull \hbox (48.80487pt too wide) in paragraph at lines 1220--1220 [][] [][][]\T1/ptm/m/n/10.95 Common per-pen-dic-u-lars to lines in space: \T1/ pcr/m/n/10.95 common_perpendicular[][][] [][] [28]./cascmd_en.tex:26072: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26074: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26080: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26082: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26083: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26084: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26084: Warning: Application of '\^' on 'f' failed ./cascmd_en.tex:26096: Warning: Application of '\^' on 'f' failed Overfull \hbox (23.18192pt too wide) in paragraph at lines 1250--1250 [][] [][][]\T1/ptm/m/n/10.95 The co-or-di-nates of a point, vec-tor or line in space: \T1/pcr/m/n/10.95 coordinates[][][] [][] Overfull \hbox (6.61444pt too wide) in paragraph at lines 1257--1257 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is on an-other ob-je ct: \T1/pcr/m/n/10.95 is_element[][][] [][] Overfull \hbox (22.65596pt too wide) in paragraph at lines 1258--1258 [][] [][][]\T1/ptm/m/n/10.95 Check if points and/or lines in space are copla-n ar: \T1/pcr/m/n/10.95 is_coplanar[][][] [][] Overfull \hbox (18.99843pt too wide) in paragraph at lines 1259--1259 [][] [][][]\T1/ptm/m/n/10.95 Check if lines and/or planes in space are par-al- lel: \T1/pcr/m/n/10.95 is_parallel[][][] [][] Overfull \hbox (0.98605pt too wide) in paragraph at lines 1262--1262 [][] [][][]\T1/ptm/m/n/10.95 Check if three points in space are collinear: \T1 /pcr/m/n/10.95 is_collinear[][][] [][] Overfull \hbox (19.77638pt too wide) in paragraph at lines 1264--1264 [][] [][][]\T1/ptm/m/n/10.95 Check if five points in space are co-spher-i-cal: \T1/pcr/m/n/10.95 is_cospherical[][][] [][] Overfull \hbox (52.35187pt too wide) in paragraph at lines 1265--1265 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is an equi-lat-eral tri-an-gle: \T1/pcr/m/n/10.95 is_equilateral[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1266 \T1/ptm/m/n/10.95 13.13.10 Overfull \hbox (31.91917pt too wide) in paragraph at lines 1266--1266 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is an isosce-les tri -an-gle: \T1/pcr/m/n/10.95 is_isosceles[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1267 \T1/ptm/m/n/10.95 13.13.11 Overfull \hbox (3.28497pt too wide) detected at line 1268 \T1/ptm/m/n/10.95 13.13.12 Overfull \hbox (3.28497pt too wide) detected at line 1269 \T1/ptm/m/n/10.95 13.13.13 Overfull \hbox (3.28497pt too wide) detected at line 1270 \T1/ptm/m/n/10.95 13.13.14 Overfull \hbox (39.08093pt too wide) in paragraph at lines 1270--1270 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is a par-al-lel-o-gr am: \T1/pcr/m/n/10.95 is_parallelogram[][][] [][] [29]) [30] Chapter 1. No file cascmd_en.ind. [31] [32]./cascmd_en.tex:26597: Warning: Command not found: \alpha* Chapter 2. [33] Overfull \hbox (27.46349pt too wide) in paragraph at lines 183--187 []\T1/ptm/m/n/10.95 If you are run-ning Mac OS, you can use the Finder to go to the \T1/pcr/m/n/10.95 xcas_image.dmg [34] Overfull \hbox (282.10446pt too wide) in paragraph at lines 254--260 []\T1/ptm/m/n/10.95 To run \T1/pcr/m/n/10.95 giac \T1/ptm/m/n/10.95 through Fir e-fox, you can open the url [][][]$\T1/pcr/m/n/10.95 https : / / www-[]fourier . ujf-[]grenoble . fr / ~parisse / giac / xcasen . html$[][][][]\T1/ptm/m/n/10. 95 . Overfull \hbox (0.75586pt too wide) in paragraph at lines 263--267 \T1/ptm/m/n/10.95 TeXmacs ([][][]$\T1/pcr/m/n/10.95 http : / / www . texmacs . org$[][][][]\T1/ptm/m/n/10.95 ) is a so-phis-ti-cated word pro-ces-sor with [35] Overfull \hbox (13.79454pt too wide) in paragraph at lines 275--280 \T1/ptm/m/n/10.95 text. To en-ter nor-mal text within a \T1/pcr/m/n/10.95 giac \T1/ptm/m/n/10.95 ses-sion, use the menu item \T1/pcr/m/n/10.95 Focus$\U/msa/m/ n/10.95 I$\T1/pcr/m/n/10.95 Insert [36] Chapter 3. [37] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.2471pt too wide) in paragraph at lines 404--410 []\T1/ptm/m/n/10.95 The first but-ton, [], will open the help in-dex. (The same as the \T1/pcr/m/n/10.95 Help$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Index [38] Overfull \hbox (1.69905pt too wide) in paragraph at lines 419--427 []\T1/ptm/m/n/10.95 , is a sta-tus line ( FP-DIV ) ( FP-DIV ) [39] LaTeX Warning: Reference `ssec:CST' on page 40 undefined on input line 496. [40] [41] Overfull \hbox (99.91336pt too wide) in paragraph at lines 636--641 \T1/ptm/m/n/10.95 ing the server at [][][]$\T1/pcr/m/n/10.95 http : / / www-[]f ourier . ujf-[]grenoble . fr / ~parisse / xcasen . html$[][][][] [42] [43] Overfull \hbox (17.21321pt too wide) in paragraph at lines 769--773 \T1/ptm/m/n/10.95 This will open a win-dow that you can use to con-fig-ure var- i-ous non-computational [44] [45] [46] [47] [48] Overfull \hbox (2.24474pt too wide) in paragraph at lines 1146--1148 \T1/ptm/m/n/10.95 When fac-tor-ing poly-no-mi-als, \T1/pcr/m/n/10.95 Xcas \T1/p tm/m/n/10.95 won't in-tro-duce com-plex num-bers if they aren't [49] Overfull \hbox (55.70105pt too wide) in paragraph at lines 1226--1230 \T1/ptm/m/n/10.95 You can con-fig-ure how \T1/pcr/m/n/10.95 Xcas \T1/ptm/m/n/10 .95 com-putes by us-ing the menu item \T1/pcr/m/n/10.95 Cfg$\U/msa/m/n/10.95 I$ \T1/pcr/m/n/10.95 Cas configuration [50] Overfull \hbox (5.18015pt too wide) in paragraph at lines 1265--1269 \T1/ptm/m/n/10.95 num-ber be-tween 1 and 10 times a power of ten; for ex-am-ple , \T1/pcr/m/n/10.95 15000.12 [51] Overfull \hbox (11.0607pt too wide) in paragraph at lines 1333--1340 \T1/ptm/m/n/10.95 checked, then the so-lu-tions of \T1/pcr/m/n/10.95 cos(x)=0 \ T1/ptm/m/n/10.95 will be \T1/pcr/m/n/10.95 [(2*n_0*pi + pi)/2]\T1/ptm/m/n/10.95 , [52] Overfull \hbox (3.78696pt too wide) in paragraph at lines 1357--1364 \T1/ptm/m/n/10.95 graph-i-cal con-fig-u-ra-tion us-ing the the menu item \T1/pc r/m/n/10.95 Cfg$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Graph configuration\T1/ptm /m/n/10.95 . [53] Overfull \hbox (21.13075pt too wide) in paragraph at lines 1464--1464 []\T1/ptm/b/n/12 The con-fig-u-ra-tion file: \T1/pcr/b/n/12 widget_size cas_set up xcas_mode [54] [55] Overfull \hbox (4.51189pt too wide) in paragraph at lines 1531--1533 []\T1/pcr/m/n/10.95 increasing_power\T1/ptm/m/n/10.95 . This is 0 to dis-play p oly-no-mi-als in in-creas-ing power, [56] Overfull \hbox (43.94365pt too wide) in paragraph at lines 1628--1637 []\T1/ptm/m/n/10.95 If you pre-fer to save the printed form as a file, you can use the \T1/pcr/m/n/10.95 File$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Print$\U/ms a/m/n/10.95 I$\T1/pcr/m/n/10.95 preview [57] Overfull \hbox (24.30562pt too wide) in paragraph at lines 1663--1663 []\T1/ptm/b/n/12 Translating graph-i-cal out-put to L[]T[]X: \T1/pcr/b/n/12 gra ph2tex graph3d2tex Overfull \hbox (67.04948pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 [] Overfull \hbox (40.76952pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 12[] [59] [60] Overfull \hbox (60.47949pt too wide) in paragraph at lines 1836--1836 []\T1/pcr/m/n/10.95 [] Overfull \hbox (24.34128pt too wide) in paragraph at lines 1840--1842 \T1/ptm/m/n/10.95 You can trans-late a file of Maple com-mands to the Xcas lan- guage with the \T1/pcr/m/n/10.95 maple2xcas [61] [62] Chapter 4. Overfull \hbox (3.61932pt too wide) in paragraph at lines 1899--1903 []\T1/ptm/m/n/10.95 To add a com-ment to a pro-gram, rather than a ses-sion, yo u can use the \T1/pcr/m/n/10.95 comment[] [63] [64] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [65] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [66] [67] Overfull \hbox (6.98224pt too wide) in paragraph at lines 2165--2168 \T1/ptm/m/n/10.95 The con-fig-u-ra-tion screen can be re-opened with the \T1/pc r/m/n/10.95 Edit$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Configuration$\U/msa/m/n/ 10.95 I$\T1/pcr/m/n/10.95 Cfg ( FP-DIV ) ( FP-DIV ) [68] [69] [70] [71] Overfull \hbox (43.6654pt too wide) in paragraph at lines 2419--2419 []\T1/ptm/b/n/12 Storing and re-call-ing vari-ables and their val-ues: \T1/pcr/ b/n/12 archive unarchive [72] [73] [74] Overfull \hbox (9.67053pt too wide) in paragraph at lines 2620--2620 []\T1/ptm/b/n/12 Unassigning vari-ables: \T1/pcr/b/n/12 VARS purge DelVar del r estart [75] Overfull \hbox (44.97061pt too wide) in paragraph at lines 2670--2674 \T1/ptm/m/n/10.95 vari-ables with sin-gle low-er-case let-ter names. If you hav e vari-ables names \T1/pcr/m/n/10.95 A,B,a,b,myvar\T1/ptm/m/n/10.95 , [76] [77] [78] Overfull \hbox (5.08661pt too wide) in paragraph at lines 2881--2881 []\T1/ptm/b/n/12 Internal di-rec-to-ries: \T1/pcr/b/n/12 NewFold SetFold GetFol d DelFold [79] [80] Chapter 5. Overfull \hbox (68.94576pt too wide) in paragraph at lines 2915--2915 []\T1/ptm/b/n/14.4 Symbolic con-stants : \T1/pcr/m/n/14.4 e pi infinity inf i e uler_gamma Overfull \hbox (99.73698pt too wide) in paragraph at lines 2920--2928 \T1/pcr/m/n/10.95 euler_gamma \T1/ptm/m/n/10.95 is Eu-ler's con-stant $\OML/cmm /m/it/10.95 ^^M$\T1/ptm/m/n/10.95 ; namely, \T1/pcr/m/n/10.95 limit(sum(1/k,k,1 ,n)-ln(n),n,+infinity) Overfull \hbox (0.75572pt too wide) in paragraph at lines 2939--2955 \T1/ptm/m/n/10.95 To write an al-ge-braic func-tion hav-ing the same re-sult as an \T1/pcr/m/n/10.95 if...then...else\T1/ptm/m/n/10.95 , Overfull \hbox (32.13776pt too wide) in paragraph at lines 2956--2959 \T1/ptm/m/n/10.95 defines the boolean func-tion $\OML/cmm/m/it/10.95 f$ \T1/ptm /m/n/10.95 such that \T1/pcr/m/n/10.95 f(x)= true \T1/ptm/m/n/10.95 if $\OML/cm m/m/it/10.95 x \OMS/cmsy/m/n/10.95 2 \OT1/cmr/m/n/10.95 (0; +\OMS/cmsy/m/n/10.9 5 1\OT1/cmr/m/n/10.95 [$ \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 f(x)=false [81] Underfull \hbox (badness 10000) in paragraph at lines 2962--2965 Overfull \hbox (11.70648pt too wide) in paragraph at lines 3000--3005 \T1/pcr/m/n/10.95 exp2list \T1/ptm/m/n/10.95 re-turns the list \T1/pcr/m/n/10.9 5 [expr0,expr1] \T1/ptm/m/n/10.95 when the ar-gu-ment is \T1/pcr/m/n/10.95 (var =expr0) [82] Overfull \hbox (18.61649pt too wide) in paragraph at lines 3018--3025 \T1/pcr/m/n/10.95 list2exp \T1/ptm/m/n/10.95 re-turns the boolean ex-pres-sion \T1/pcr/m/n/10.95 ((var = val1) or (var = val2) [83] Underfull \hbox (badness 10000) in paragraph at lines 3090--3095 [84] Underfull \hbox (badness 10000) in paragraph at lines 3103--3108 Underfull \hbox (badness 10000) in paragraph at lines 3138--3146 [85] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\char' on input line 3166. [86] Underfull \hbox (badness 10000) in paragraph at lines 3211--3214 [87] [88] [89] [90] [91] [92] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3418. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3418. Overfull \hbox (19.50386pt too wide) in paragraph at lines 3434--3438 \T1/ptm/m/n/10.95 To check the an-swer, in-put \T1/pcr/m/n/10.95 expr("0173") \ T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 horner(revlist([3,7,1]),8) [93]./cascmd_en.tex:31113: Warning: Application of '\^' on '2' failed ./cascmd_en.tex:31113: Warning: Application of '\^' on '2' failed Overfull \hbox (1.34956pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 9332621544394415268169923885626670049071596826438162[] Overfull \hbox (1.34956pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 1468592963895217599993229915608941463976156518286253[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 697920827223758251185210916864000000000000000000000000[] [94] Underfull \hbox (badness 10000) in paragraph at lines 3498--3501 Underfull \hbox (badness 10000) in paragraph at lines 3502--3503 Underfull \hbox (badness 10000) in paragraph at lines 3516--3517 [95] [96] [97] Overfull \hbox (10.78601pt too wide) in paragraph at lines 3648--3648 []\T1/ptm/b/n/12 The in-te-ger Eu-clidean re-main-der : \T1/pcr/m/n/12 irem rem ain smod mods [98] Overfull \hbox (14.48955pt too wide) in paragraph at lines 3663--3663 \T1/pcr/m/n/10.95 111615339728229933018338917803008301992120942047239639312 [99] [100] [101] [102] Overfull \hbox (1.34956pt too wide) in paragraph at lines 3829--3829 \T1/pcr/m/n/10.95 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71 Overfull \hbox (4.14935pt too wide) in paragraph at lines 3831--3831 []\T1/ptm/b/n/12 The num-ber of pseudo-primes less than or equal to \T1/pcr/m/n /12 n\T1/ptm/b/n/12 : \T1/pcr/m/n/12 nprimes [103] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3858. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3858. Overfull \hbox (51.90477pt too wide) in paragraph at lines 3868--3871 \T1/pcr/m/n/10.95 ichinrem([a,p],[b,q]) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 ichrem([a,p],[b,q]) \T1/ptm/m/n/10.95 re-turns a list \T1/pcr/m/n/10.95 [c,lcm( p,q)] [104] Underfull \hbox (badness 10000) in paragraph at lines 3907--3909 Overfull \hbox (1.5333pt too wide) in paragraph at lines 3913--3917 \T1/pcr/m/n/10.95 ichrem \T1/ptm/m/n/10.95 (or\T1/pcr/m/n/10.95 ichinrem\T1/ptm /m/n/10.95 )may be used to find the co-ef-fi-cients of a poly-no-mial whose [105] Overfull \hbox (1.03072pt too wide) in paragraph at lines 3931--3943 \T1/ptm/m/n/10.95 For ex-am-ple, \T1/pcr/m/n/10.95 chrem([a,b,c],[p,q,r]) \T1/p tm/m/n/10.95 re-turns the list \T1/pcr/m/n/10.95 [x,lcm(p,q,r)] [106] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Underfull \hbox (badness 10000) in paragraph at lines 4002--4004 [107] [108] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4064. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4064. [109] [110] Overfull \hbox (73.61948pt too wide) in paragraph at lines 4179--4180 \T1/pcr/m/n/10.95 wz_certificate((-1)^^Bk*comb(n,k)*comb(2k,k)*4^^B(n-k),comb( 2n,n),n,k) [111] Overfull \hbox (79.08981pt too wide) in paragraph at lines 4197--4197 []\T1/ptm/b/n/12 Transform a float-ing point num-ber into a ra-tio-nal : \T1/pc r/m/n/12 exact float2rational Overfull \hbox (0.65764pt too wide) in paragraph at lines 4198--4205 \T1/ptm/m/n/10.95 re-turns a ra-tio-nal num-ber \T1/pcr/m/n/10.95 q \T1/ptm/m/n /10.95 close to \T1/pcr/m/n/10.95 d \T1/ptm/m/n/10.95 such that \T1/pcr/m/n/10. 95 abs(d-q) ( FP-DIV ) ( FP-DIV ) [176] Underfull \hbox (badness 10000) in paragraph at lines 7288--7289 Underfull \hbox (badness 10000) in paragraph at lines 7305--7315 [177]./cascmd_en.tex:36962: Warning: \overrightarrow outside display mode [178] [179] [180] [181] [182] Overfull \hbox (0.60257pt too wide) in paragraph at lines 7568--7569 \T1/ptm/m/n/10.95 list such that de-pen-dent vari-ables come last, e.g. \T1/pcr /m/n/10.95 [x1,..,xn,y1,..,ym] Overfull \hbox (5.45894pt too wide) in paragraph at lines 7571--7572 \T1/pcr/m/n/10.95 constr\T1/ptm/m/n/10.95 . By im-plicit func-tion the-o-rem, t he Ja-co-bian ma-trix of $\OT1/cmr/bx/n/10.95 g \OT1/cmr/m/n/10.95 = (\OML/cmm/ m/it/10.95 g[]; g[]; [] ; g[]\OT1/cmr/m/n/10.95 )$ [183] [184] Overfull \hbox (6.38956pt too wide) in paragraph at lines 7669--7670 []\T1/ptm/m/n/10.95 Optionally, a se-quence of val-ues of the pa-ram-e-ter $\OM L/cmm/m/it/10.95 m$ \T1/ptm/m/n/10.95 may be passed to \T1/pcr/m/n/10.95 numdif f\T1/ptm/m/n/10.95 . [185] [186] [187] [188] [189] [190] [191] Overfull \hbox (18.3649pt too wide) in paragraph at lines 7926--7928 []\T1/ptm/m/n/10.95 if $\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 6\OT1/cmr/m/n/10.95 = 0$\T1/ptm /m/n/10.95 , the list $\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 u\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 v\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OMS/cms y/m/n/10.95 ^^@\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\O T1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.9 5 x\OT1/cmr/m/n/10.95 )]$ \T1/ptm/m/n/10.95 (or $\OT1/cmr/m/n/10.95 [\OML/cmm/m /it/10.95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) + \OML /cmm/m/it/10.95 u\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\ OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 v\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 u[]\OT1/c mr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )]$\T1/ptm/m/n/10.95 ), Overfull \hbox (24.67255pt too wide) in paragraph at lines 7928--7932 \T1/pcr/m/n/10.95 ibpdv([F(x),g(x)],0) \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/1 0.95 F(x)+G(x) \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.95 diff(G(x))=g(x)\T1/ptm /m/n/10.95 . [192] Overfull \hbox (18.10255pt too wide) in paragraph at lines 7979--7983 \T1/pcr/m/n/10.95 ibpu([F(x),g(x)],0) \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10 .95 F(x)+G(x) \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.95 diff(G(x))=g(x)\T1/ptm/ m/n/10.95 . [193] [194] [195] [196] [197] [198] [199] [200] Overfull \hbox (0.30856pt too wide) in paragraph at lines 8297--8298 []\T1/ptm/m/n/10.95 In the next ex-am-ple we min-i-mize the func-tional $\OML/c mm/m/it/10.95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 ) = [][](\OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m /n/10.95 )[] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 4 \OML/cmm/m/it/10.95 y \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )) d\OML/cmm/m/it/1 0.95 x$ [201] [202] [203] Overfull \hbox (1.68819pt too wide) in paragraph at lines 8416--8418 \T1/ptm/m/n/10.95 We set $\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/i t/10.95 y; y[]; x\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) []$ \T1/ptm/m/n/10.95 and com-pute the as-so-ci-ated Euler-Lagrange Overfull \hbox (1.34956pt too wide) in paragraph at lines 8431--8432 \T1/pcr/m/n/10.95 [-K_0,K_0*(-exp((x-c_1)/K_0)[][]^[]2-1)/(2*exp((x-c_1)/K_0)) ] ( FP-DIV ) ( FP-DIV ) [204] [205] ( FP-DIV ) ( FP-DIV ) Fixpoint reached in 2 step(s) Now, I am running imagen for you ( FP-DIVRESOLUTION: 100 ) ( FP-DIV ) [206] [207] Overfull \hbox (41.86461pt too wide) in paragraph at lines 8560--8560 \T1/pcr/m/n/10.95 limit((sqrt(1+x+x[][]^[]2/2)-exp(x/2))/((1-cos(x))*sin(x)),x ,0) Underfull \hbox (badness 10000) in paragraph at lines 8575--8576 [208] Overfull \hbox (19.22124pt too wide) in paragraph at lines 8593--8593 []\T1/ptm/b/n/12 Expand a tran-scen-den-tal and trigono-met-ric ex-pres-sion : \T1/pcr/m/n/12 texpand Overfull \hbox (27.45184pt too wide) in paragraph at lines 8594--8601 \T1/pcr/m/n/10.95 texpand \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 tExpand \T1/pt m/m/n/10.95 ex-pands these func-tions, like si-mul-ta-ne-ous call-ing \T1/pcr/m /n/10.95 expexpand\T1/ptm/m/n/10.95 , Underfull \hbox (badness 10000) in paragraph at lines 8594--8601 Overfull \hbox (40.64427pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.23. REWRITING TRANSCENDENTAL AND TRIGONOMETRIC EXPRESSION S \T1/ptm/m/n/10.95 209 [209] Overfull \hbox (19.96469pt too wide) in paragraph at lines 8640--8640 \T1/pcr/m/n/10.95 texpand(log(e[][]^[]2)+exp(2*log(2))+exp(log(3)+log(2))) [210] Overfull \hbox (35.57925pt too wide) in paragraph at lines 8666--8668 []\T1/pcr/m/n/10.95 combine(expr,trig) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 c ombine(expr,sin) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 combine(expr,cos) Overfull \hbox (40.64427pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.23. REWRITING TRANSCENDENTAL AND TRIGONOMETRIC EXPRESSION S \T1/ptm/m/n/10.95 211 [211] [212]This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. Overfull \hbox (47.187pt too wide) in paragraph at lines 8754--8754 []\T1/ptm/b/n/12 Increase the phase by $\OML/cmm/m/it/12 ^^Y=\OT1/cmr/m/n/12 2$ \T1/ptm/b/n/12 in a trigono-met-ric ex-pres-sion: \T1/pcr/b/n/12 shift_phase Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 8754. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\pi' on input line 8754. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 8754. [213] [214] [215] [216] Overfull \hbox (1.34956pt too wide) in paragraph at lines 8934--8934 \T1/pcr/m/n/10.95 simplify(sincos(((i)*(exp((i)*x))[][]^[]2-i)/(2*exp((i)*x))) ) Overfull \hbox (14.48955pt too wide) in paragraph at lines 8936--8936 \T1/pcr/m/n/10.95 simplify(exp2trig(((i)*(exp((i)*x))[][]^[]2-i)/(2*exp((i)*x) ))) [217] [218] Overfull \hbox (11.91388pt too wide) in paragraph at lines 9028--9028 \T1/ptm/b/n/12 hy-per-bolic func-tions as func-tion of exp(x): \T1/pcr/m/n/12 h alftan_hyp2exp Overfull \hbox (97.8606pt too wide) in paragraph at lines 9029--9035 \T1/pcr/m/n/10.95 halftan_hyp2exp \T1/ptm/m/n/10.95 rewrites $[]\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\OT1/cmr /m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\O T1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 in terms of $[]\OT1/cmr/m/n/10.95 ([])$ \T1/ptm/m/n/10.95 and $[]\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\ OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ Overfull \hbox (0.93056pt too wide) in paragraph at lines 9044--9048 \T1/pcr/m/n/10.95 atrig2ln \T1/ptm/m/n/10.95 takes as ar-gu-ment an ex-pres-sio n con-tain-ing in-verse trigono-met-ric func- [219] Overfull \hbox (3.02141pt too wide) in paragraph at lines 9053--9058 \T1/pcr/m/n/10.95 trig2exp \T1/ptm/m/n/10.95 rewrites the trigono-met-ric func- tions with com-plex ex-po-nen-tials (\T1/ptm/m/sc/10.95 with- [220]entering extended mode (./cascmd_en.image.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> Overfull \hbox (42.9815pt too wide) in paragraph at lines 9102--9102 []\T1/ptm/b/n/12 Rewrite an ex-pres-sion with dif-fer-ent op-tions : \T1/pcr/m/ n/12 convert convertir [221] Overfull \hbox (2.69547pt too wide) in paragraph at lines 9133--9135 []\T1/ptm/m/n/10.95 convert units, for ex-am-ple \T1/pcr/m/n/10.95 convert(1000 _g,_kg)=1.0_kg \T1/ptm/m/n/10.95 (cf [][][]10.1.4[][][][]). Overfull \hbox (3.0008pt too wide) in paragraph at lines 9135--9141 []\T1/ptm/m/n/10.95 write a real as a con-tin-ued frac-tion : \T1/pcr/m/n/10.95 convert(a,confrac,'fc') \T1/ptm/m/n/10.95 writes Overfull \hbox (1.743pt too wide) in paragraph at lines 9135--9141 \T1/ptm/m/n/10.95 For ex-am-ple, \T1/pcr/m/n/10.95 convert(1.2,confrac,'fc')=[1 ,5] \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 fc \T1/ptm/m/n/10.95 con-tains Overfull \hbox (45.38257pt too wide) in paragraph at lines 9157--9157 []\T1/ptm/b/n/12 Fourier co-ef-fi-cients : \T1/pcr/m/n/12 fourier_an \T1/ptm/b/ n/12 and \T1/pcr/m/n/12 fourier_bn \T1/ptm/b/n/12 or \T1/pcr/m/n/12 fourier_cn [222] (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls [223] Overfull \hbox (3.54485pt too wide) in paragraph at lines 9222--9228 \T1/pcr/m/n/10.95 fourier_cn(expr,x,T,n,a) \T1/ptm/m/n/10.95 re-turns the Fouri er co-ef-fi-cient $\OML/cmm/m/it/10.95 c[]$ \T1/ptm/m/n/10.95 of a function$\OM L/cmm/m/it/10.95 f$ [224] Document Class: book 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo Overfull \hbox (41.86461pt too wide) in paragraph at lines 9267--9267 \T1/pcr/m/n/10.95 ((2*i)*pi[][]^[]2*n[][]^[]2*exp((-i)*n*2*pi)+2*pi*n*exp((-i) *n*2*pi)+ [225])) Overfull \hbox (106.46944pt too wide) in paragraph at lines 9312--9313 \T1/pcr/m/n/10.95 pi*(5*i*exp(5*i*s)+(-21*i)*exp((-3*i)*s)+16*i*exp((-2*i)*s)) *sign(s)/56 [226] [227] [228] Overfull \hbox (21.05954pt too wide) in paragraph at lines 9505--9506 \T1/pcr/m/n/10.95 x*Heaviside(x)*exp(-x)-x*Heaviside(-x)*exp(x)+exp(-abs(x)) [229] (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty Overfull \hbox (14.48955pt too wide) in paragraph at lines 9528--9529 \T1/pcr/m/n/10.95 Heaviside(x+1)-Heaviside(x-1)+Heaviside(x-1)*exp(-2*x+2)+ [230] [231] [232] Overfull \hbox (7.24951pt too wide) in paragraph at lines 9683--9692 \T1/ptm/m/n/10.95 Hence, the co-ef-fi-cients of $\OML/cmm/m/it/10.95 P$ \T1/ptm /m/n/10.95 are [0,1,1,0], $\OML/cmm/m/it/10.95 N \OT1/cmr/m/n/10.95 = 4$ \T1/pt m/m/n/10.95 and $\OML/cmm/m/it/10.95 ! \OT1/cmr/m/n/10.95 = [](2\OML/cmm/m/it/1 0.95 i^^Y=\OT1/cmr/m/n/10.95 4) = [233] [234] (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) Underfull \hbox (badness 10000) in paragraph at lines 9766--9768 [235] Overfull \hbox (21.59802pt too wide) in paragraph at lines 9780--9785 \T1/ptm/m/n/10.95 Therefore, if $\OML/cmm/m/it/10.95 m \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 is a mul-ti-ple of $\OML/cmm/m/it/10.9 5 N$ \T1/ptm/m/n/10.95 ($\OML/cmm/m/it/10.95 m \OT1/cmr/m/n/10.95 = \OML/cmm/m/ it/10.95 n \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 l \OMS/cmsy/m/n/10.95 ^^A \ OML/cmm/m/it/10.95 N$\T1/ptm/m/n/10.95 ) then $[][] \OML/cmm/m/it/10.95 ![] \OT 1/cmr/m/n/10.95 = Underfull \hbox (badness 10000) in paragraph at lines 9795--9797 Overfull \hbox (48.4346pt too wide) in paragraph at lines 9803--9803 \T1/pcr/m/n/10.95 x={2,sqrt(2)/2,-1,(-sqrt(2)/2,0,(-sqrt(2))/2,-1,sqrt(2)/2} [236] [237] (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty Overfull \hbox (7.91956pt too wide) in paragraph at lines 9874--9883 \T1/pcr/m/n/10.95 q:=[20.25,-4.48115530061+1.72227182413*i,-0.375+0.875*i, Overfull \hbox (34.19952pt too wide) in paragraph at lines 9919--9920 \T1/pcr/m/n/10.95 2.0*re(q[0]/2+q[1]*t0(1)+q[2]*t0(2)+q[3]*t0(3)+q[4]/2*t0(4)) [238] [239] [240] Overfull \hbox (6.2986pt too wide) in paragraph at lines 10017--10017 []\T1/ptm/b/n/12 Audio clip prop-er-ties : \T1/pcr/m/n/12 channels[]\T1/ptm/b/n /12 , \T1/pcr/m/n/12 bit_depth[]\T1/ptm/b/n/12 , \T1/pcr/m/n/12 samplerate[]\T1 /ptm/b/n/12 , Overfull \hbox (26.70123pt too wide) in paragraph at lines 10030--10031 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains a WAV file \T1/pcr/m/n/10.95 example.wav [241] (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg) Overfull \hbox (29.43872pt too wide) in paragraph at lines 10041--10042 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains a WAV file \T1/pcr/m/n/10.95 example.wav\ T1/ptm/m/n/10.95 . Overfull \hbox (26.41708pt too wide) in paragraph at lines 10061--10062 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains two files, \T1/pcr/m/n/10.95 example1.wav ( FP-DIV ) ( FP-DIV (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvipdfmx.def)) ) ) ( FP-DIV ) ( FP-DIV ) [242] ( FP-DIV ) ( FP-DIV ) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/bmpsize.sty ( FP-DIV ) ( FP-DIV ) [243] (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)) [244] [245] (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Overfull \hbox (0.93288pt too wide) detected at line 10213 \OT1/cmr/bx/n/10.95 v[] \OT1/cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 v[]; v[]; [] ; v[]; []\OT1/cmr/m/n/10.95 ] [] \OT1/cmr/bx/n/10.95 w[] \OT1/cmr/m/n/10.95 = [ []\OML/cmm/m/it/10.95 ; w[]; w[]; [] ; w[]\OT1/cmr/m/n/10.95 ]\OML/cmm/m/it/10. 95 : [246] Overfull \hbox (93.32945pt too wide) in paragraph at lines 10278--10279 \T1/pcr/m/n/10.95 2*Heaviside(t)*((t+1)*ln(abs(sqrt(t)-sqrt(t+1))/(sqrt(t)+sqr t(t+1)))+ [247] For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty ( FP-DIV ) ( FP-DIV ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty) ( FP-DIV) ) ( FP-DIV ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) [248] ( FP-DIV ) ( FP-DIV ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) [249] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10348--10348 []\T1/pcr/m/n/10.95 data:=0.5*threshold(3*sin(2*pi*220*snd),[-1.0,1.0])+noise: ; ( FP-DIV ) ( FP-DIV (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty ) ) ( FP-DIV (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty ) ( FP-DIV ) ) Overfull \hbox (1.76451pt too wide) in paragraph at lines 10373--10374 \T1/ptm/m/n/10.95 Bound spec-i-fi-ca-tion may be ei-ther a sin-gle real num-ber $\OML/cmm/m/it/10.95 b$ \T1/ptm/m/n/10.95 (or an equa-tion \T1/pcr/m/n/10.95 b =value\T1/ptm/m/n/10.95 ) [250] [251] (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty Overfull \hbox (27.62953pt too wide) in paragraph at lines 10436--10437 \T1/pcr/m/n/10.95 threshold([-120,-11,-3,0,7,27,111,234],[-100=-inf,100=inf]) Overfull \hbox (14.48955pt too wide) in paragraph at lines 10445--10445 \T1/pcr/m/n/10.95 data:=threshold(3*sin(2*pi*440*soundsec(2)),[-1.0,1.0]):; ( FP-DIV) ) ( FP-DIV ) Overfull \hbox (1.41428pt too wide) in paragraph at lines 10460--10460 []\T1/ptm/b/n/12 Bartlett-Hann win-dow func-tion : \T1/pcr/m/n/12 bartlett_hann _window[] [252] Overfull \hbox (33.15404pt too wide) in paragraph at lines 10469--10469 []\T1/ptm/b/n/12 Blackman-Harris win-dow func-tion : \T1/pcr/m/n/12 blackman_ha rris_window[] [253] (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty) [254] (./hevea.sty [255] (/usr/share/texlive/texmf-dist/tex/latex/comment/comment.sty Excluding comment 'comment') Excluding comment 'rawhtml' Excluding comment 'htmlonly') [256] (/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty) [257] [258] (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV (/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty) ) [259] (/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty [260] (/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty) [261]) (/usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty) Underfull \hbox (badness 10000) in paragraph at lines 10763--10770 [262] (/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty) Overfull \hbox (27.62953pt too wide) in paragraph at lines 10844--10844 \T1/pcr/m/n/10.95 r2e(%%%{1,[2,0]%%%}+%%%{-1,[1,1]%%%}+%%%{2,[0,1]%%%},[x,y]) [263] (/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty Overfull \hbox (67.04948pt too wide) in paragraph at lines 10846--10846 \T1/pcr/m/n/10.95 poly2symb(%%%{1,[2,0]%%%}+%%%{-1,[1,1]%%%}+%%%{2,[0,1]%%%},[ x,y]) [264]) [265] [266 (/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty) (/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty) (/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty)] (/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty [267]) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def) Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11042. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 11042. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11042. [268] [269 (/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty)] (/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty) Overfull \hbox (35.29462pt too wide) in paragraph at lines 11121--11122 []\T1/pcr/m/n/10.95 13*sqrt(5)-15)*(-x+1)*((sqrt(5)+15)*x+7*sqrt(5)-5))/6820 [270] Overfull \hbox (7.91956pt too wide) in paragraph at lines 11155--11156 []\T1/pcr/m/n/10.95 7*sqrt(5)-5)*(-x+1)*((sqrt(5)+25)*x-13*sqrt(5)-15))/6820 [271] (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty) [272] Overfull \hbox (31.75977pt too wide) in paragraph at lines 11233--11241 \T1/ptm/m/n/10.95 Let $\OML/cmm/m/it/10.95 P$ \T1/ptm/m/n/10.95 and $\OML/cmm/m /it/10.95 Q$ \T1/ptm/m/n/10.95 be two poly-no-mi-als given by the list of their co-ef-fi-cients then \T1/pcr/m/n/10.95 rootof(P,Q) Overfull \hbox (25.26865pt too wide) in paragraph at lines 11248--11251 $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10. 95 ) = \OML/cmm/m/it/10.95 x$ \T1/ptm/m/n/10.95 is rep-re-sented by [1,0] and $ \OML/cmm/m/it/10.95 $ \T1/ptm/m/n/10.95 by \T1/pcr/m/n/10.95 rootof([1,0],[1,0 ,10,0,1])\T1/ptm/m/n/10.95 . [273] (/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty Overfull \hbox (15.58464pt too wide) in paragraph at lines 11285--11285 \T1/pcr/m/n/10.95 [[(-1+(i)*sqrt(3))/2,1],[(-1-(i)*sqrt(3))/2,1],[1,1]] [274] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11300. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11300. Overfull \hbox (44.45795pt too wide) in paragraph at lines 11317--11317 []\T1/ptm/b/n/12 Convert a se-ries ex-pan-sion into a poly-no-mial : \T1/pcr/m/ n/12 convert convertir [275] (/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty) [276]) [277] Overfull \hbox (1.34956pt too wide) in paragraph at lines 11457--11457 []\T1/pcr/m/n/10.95 -8.96*cos(0.262*x)-0.445*sin(0.785*x)-1.75*sin(0.524*x) [278] (/usr/share/texlive/texmf-dist/tex/latex/base/atbegshi-ltx.sty) [279]) [280] (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def [281] (/usr/share/texlive/texmf-dist/tex/latex/base/atveryend-ltx.sty) Overfull \hbox (7.91956pt too wide) in paragraph at lines 11642--11642 []\T1/pcr/m/n/10.95 +9.40462512097)/(x[][]^[]6-1.24295718965*x[][]^[]5-1.33526 268624*x[][]^[]4 [282] [283] (/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty [284] [285] (/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty))) Overfull \hbox (23.60124pt too wide) in paragraph at lines 11810--11810 []\T1/ptm/b/n/12 Choosing the GCD al-go-rithm of two poly-no-mi-als : \T1/pcr/m /n/12 ezgcd heugcd [286] (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) [287] (/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1ptm.fd)) Overfull \hbox (4.5433pt too wide) in paragraph at lines 11872--11876 \T1/ptm/m/n/10.95 This func-tion com-putes the poly-no-mial co-ef-fi-cients of Bé-zout's Iden-tity (also known [288] (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty) [289] (./cutting.sty) [290] (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def) Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. 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(/usr/share/texlive/texmf-dist/tex/latex/graphics/color.sty [293 (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg) (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def] (/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii Overfull \hbox (5.11366pt too wide) in paragraph at lines 12095--12106 \T1/ptm/m/n/10.95 the sec-ond term gives the Sturm se-quence of the nu-mer-a-to r (here \T1/pcr/m/n/10.95 3x[][]^[]3+1, 9x[][]^[]2, Overfull \hbox (45.35365pt too wide) in paragraph at lines 12115--12122 \T1/ptm/m/n/10.95 ma-trix $\OML/cmm/m/it/10.95 S$ \T1/ptm/m/n/10.95 is a square ma-trix of size \T1/pcr/m/n/10.95 m+n \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.9 5 m=degree(B(x)) \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 n=degree(A(x))\T1/ptm/ m/n/10.95 . Overfull \hbox (10.21689pt too wide) detected at line 12127 [] Overfull \hbox (16.61528pt too wide) detected at line 12134 [] [294] [Loading MPS to PDF converter (version 2006.09.02).] ))) Overfull \hbox (10.21689pt too wide) detected at line 12158 [] Overfull \hbox (16.61528pt too wide) detected at line 12165 [] Overfull \hbox (27.27675pt too wide) in paragraph at lines 12169--12172 \T1/ptm/m/n/10.95 has a unique so-lu-tion $\OML/cmm/m/it/10.95 U; V$ \T1/ptm/m/ n/10.95 such that degree$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 U\OT1/cmr/m/n/ 10.95 ) \OML/cmm/m/it/10.95 <$\T1/ptm/m/n/10.95 degree$\OT1/cmr/m/n/10.95 (\OML /cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 and degree$\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 V\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 <$\T1/pt m/m/n/10.95 degree$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 )$\T1/ptm/m/n/10.95 , [295] Underfull \hbox (badness 10000) in paragraph at lines 12221--12222 Overfull \hbox (11.34956pt too wide) in paragraph at lines 12223--12224 []$ [296] Underfull \hbox (badness 10000) in paragraph at lines 12263--12265 [297] (/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty (/usr/share/texlive/texmf-dist/tex/latex/grfext/grfext.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg) [298]) Overfull \hbox (130.49303pt too wide) detected at line 12344 \OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (0\OML/cmm/m/it/10.95 ; a; x\OT1/cmr/m/ n/10.95 ) = 1\OML/cmm/m/it/10.95 ; L\OT1/cmr/m/n/10.95 (1\OML/cmm/m/it/10.95 ; a; x\OT1/cmr/m/n/10.95 ) = 1 + \OML/cmm/m/it/10.95 a \OMS/cmsy/m/n/10.95 ^^@ \ OML/cmm/m/it/10.95 x; L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n; a; x\OT1/cmr /m/n/10.95 ) = []\OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; a; x\OT1/cmr /m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 2\OML/cmm/m/i t/10.95 ; a; x\OT1/cmr/m/n/10.95 ) [299] (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty) [300] [301] (/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty [302])) Underfull \hbox (badness 10000) in paragraph at lines 12490--12498 [303] [304] [1 <./xcas-open.png [305] [306] Overfull \hbox (2.48633pt too wide) in paragraph at lines 12705--12713 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 partfrac \T1/ptm/m/n/10.95 com-mand is equiv-a-lent to the \T1/pcr/m/n/10.95 convert \T1/ptm/m/n/10.95 com-mand with \ T1/pcr/m/n/10.95 parfrac Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12723. 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[307] Overfull \hbox (10.2822pt too wide) in paragraph at lines 12743--12743 []\T1/ptm/b/n/12 Exact bounds for com-plex roots of a poly-no-mial : \T1/pcr/m/ n/12 complexroot Underfull \hbox (badness 10000) in paragraph at lines 12761--12765 Overfull \hbox (60.47949pt too wide) in paragraph at lines 12769--12769 \T1/pcr/m/n/10.95 [[-1,1],[[(4-7*i)/8,(8-13*i)/16],1],[[(8+13*i)/16,(4+7*i)/8] ,1]] [308] [309] Overfull \hbox (33.69386pt too wide) in paragraph at lines 12853--12853 []\T1/ptm/b/n/12 Exact bounds for pos-i-tive real roots of a poly-no-mial: \T1/ pcr/m/n/12 VAS_positive Underfull \hbox (badness 10000) in paragraph at lines 12854--12859 [310]>] Overfull \hbox (35.85301pt too wide) in paragraph at lines 12929--12929 []\T1/ptm/b/n/12 A lower bound for the pos-i-tive real roots of a poly-no-mial: \T1/pcr/m/n/12 poslbdLMQ Overfull \hbox (4.99028pt too wide) in paragraph at lines 12966--12966 []\T1/ptm/b/n/12 Exact val-ues of ra-tio-nal roots of a poly-no-mial : \T1/pcr/ m/n/12 rationalroot [311] [2 <./xcas-scientific-keyboard.png [312] [313] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13055. 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[318]> ] Overfull \hbox (31.98335pt too wide) in paragraph at lines 13252--13252 []\T1/ptm/b/n/12 Rebuild a frac-tion from its value mod-ulo $\OML/cmm/m/it/12 p $ \T1/ptm/b/n/12 : \T1/pcr/m/n/12 fracmod iratrecon Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13252. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13252. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13272. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13272. [319] [4 <./xcas-expr-tree.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13292. 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[321]>] Overfull \hbox (8.43124pt too wide) in paragraph at lines 13370--13373 []\T1/ptm/m/n/10.95 an ir-re-ducible prim-i-tive min-i-mal poly-no-mial gen-er- at-ing an ideal $\OML/cmm/m/it/10.95 I$ \T1/ptm/m/n/10.95 in $\U/msb/m/n/10.95 Z\OML/cmm/m/it/10.95 =p\U/msb/m/n/10.95 Z\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.9 5 X\OT1/cmr/m/n/10.95 ]$\T1/ptm/m/n/10.95 , [322] [5 <./xcas-xyz-tree.png Underfull \hbox (badness 10000) in paragraph at lines 13434--13437 Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13446. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13446. [323] [324]>] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13491. 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[326]>] [7 <./xcas-spreadsheet.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13569. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13569. [327] [328] [329] Overfull \hbox (2.44466pt too wide) in paragraph at lines 13702--13702 \T1/pcr/m/n/10.95 1/4+(-(4*sqrt(3)))/4*(x-pi/6)+(4*3-4)/4*(x-pi/6)[][]^[]2+ Overfull \hbox (9.01465pt too wide) in paragraph at lines 13702--13702 \T1/pcr/m/n/10.95 32*sqrt(3)/3/4*(x-pi/6)[][]^[]3+(-16*3+16)/3/4*(x-pi/6)[][]^ []4+ Overfull \hbox (1.43379pt too wide) in paragraph at lines 13707--13710 []\T1/ptm/m/n/10.95 Find a 5th-order se-ries ex-pan-sion of $[]\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 in the vicin-i ty of \T1/pcr/m/n/10.95 x=+$\OMS/cmsy/m/n/10.95 1$\T1/ptm/m/n/10.95 . Overfull \hbox (1.15045pt too wide) in paragraph at lines 13714--13718 \T1/ptm/m/n/10.95 Note that the ex-pan-sion vari-able and the ar-gu-ment of the \T1/pcr/m/n/10.95 order_size [330] [331] [332] Overfull \hbox (7.91956pt too wide) in paragraph at lines 13829--13829 \T1/pcr/m/n/10.95 1+x+1/2*x[][]^[]2+1/6*x[][]^[]3+1/24*x[][]^[]4+1/120*x[][]^[ ]5+x[][]^[]6*order_size(x) [333] [334] [335] Overfull \hbox (53.0119pt too wide) in paragraph at lines 13970--13973 \T1/ptm/m/n/10.95 If $\OML/cmm/m/it/10.95 a > b$\T1/ptm/m/n/10.95 , then \T1/pc r/m/n/10.95 i[a,b] \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10.95 i[evalf(b,15)-e psilon,evalf(a,15)+epsilon]\T1/ptm/m/n/10.95 . [336] [337] [338] [339]>] [340] [8 <./xcas-tabvar1.png [341] [342] [343]>] [344] [9 <./xcas-tabvar2.png [345] [346] [347] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14588. 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[352] Overfull \hbox (16.01051pt too wide) in paragraph at lines 14947--14949 \T1/pcr/m/n/10.95 l:=tail([0,1,2,3]) \T1/ptm/m/n/10.95 does the same thing as \ T1/pcr/m/n/10.95 l:=suppress([0,1,2,3],0) Underfull \hbox (badness 10000) in paragraph at lines 14947--14949 [353]>] [11 [354 <./catenoid_1.png] [355] [356] Overfull \hbox (23.86581pt too wide) in paragraph at lines 15117--15117 []\T1/ptm/b/n/12 Concatenate two lists or a list and an el-e-ment : \T1/pcr/m/n /12 concat augment [357] [358]>] [359] [12 <./catenoid_ 2.png [360] [361] [362] [363] [364]>] Overfull \hbox (2.9695pt too wide) in paragraph at lines 15422--15427 \T1/pcr/m/n/10.95 product(expr,var,a,b,p) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.9 5 mul(expr,var,a,b,p) \T1/ptm/m/n/10.95 re-turns the prod- [365] [13 <./sound_wav3.png [366] [367] Overfull \hbox (95.50632pt too wide) in paragraph at lines 15514--15517 \T1/ptm/m/n/10.95 Note that if \T1/pcr/m/n/10.95 l1,l2,l3 \T1/ptm/m/n/10.95 are lists \T1/pcr/m/n/10.95 sizes([l1,l2,l3]) \T1/ptm/m/n/10.95 is equiv-a-lent to \T1/pcr/m/n/10.95 map(size,[l1,l2,l3])\T1/ptm/m/n/10.95 . [368] [369] [370]>] [371] [14 <./sound_wav1.png [372] [373] [374] [375] Overfull \hbox (4.6312pt too wide) in paragraph at lines 15878--15878 []\T1/ptm/b/n/12 Scalar prod-uct : \T1/pcr/m/n/12 scalar_product * dotprod dot dotP [376] Overfull \hbox (59.75995pt too wide) in paragraph at lines 15916--15916 \T1/pcr/m/n/14.4 stddevp,median,quantile,quartiles,boxwhisker Overfull \hbox (246.52844pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.45. STATISTICS FUNCTIONS : \T1/pcr/m/n/10.95 MEAN,VARIANC E,STDDEV, STDDEVP,MEDIAN,QUANTILE,QUARTILES,BOXWHISKER \T1/ptm/m/n/10.95 377 [377] [378]>] [15 <./sound_wav2.png Overfull \hbox (52.2863pt too wide) in paragraph at lines 16016--16029 \T1/pcr/m/n/10.95 table \T1/ptm/m/n/10.95 takes as ar-gu-ment a list or a se-qu ence of equal-i-ties \T1/pcr/m/n/10.95 index_name=element_value\T1/ptm/m/n/10.9 5 . Overfull \hbox (246.52844pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.45. STATISTICS FUNCTIONS : \T1/pcr/m/n/10.95 MEAN,VARIANC E,STDDEV, STDDEVP,MEDIAN,QUANTILE,QUARTILES,BOXWHISKER \T1/ptm/m/n/10.95 379 [379] [380] [381] Overfull \hbox (53.9095pt too wide) in paragraph at lines 16107--16107 \T1/pcr/m/n/10.95 [[1.83785427742,0.793007112053,-0.978388964902,-1.8860202385 7], Overfull \hbox (60.47949pt too wide) in paragraph at lines 16107--16107 \T1/pcr/m/n/10.95 [-1.50900874199,-0.241173369698,0.311373795585,-0.5327524314 54]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 16111--16112 \T1/pcr/m/n/10.95 [[2.00549363438,3.03381264955,2.06539073586,2.04844321217], Overfull \hbox (21.05954pt too wide) in paragraph at lines 16111--16112 \T1/pcr/m/n/10.95 [3.88383254968,3.28664474655,3.76909781061,2.39113253355]] Overfull \hbox (6.13066pt too wide) in paragraph at lines 16115--16115 []\T1/ptm/b/n/12 Diagonal of a ma-trix or ma-trix of a di-ag-o-nal : \T1/pcr/m/ n/12 BlockDiagonal [382] [383]>] [384][16 [385] <./sound_spectrum.png [386] [387] Overfull \hbox (51.9962pt too wide) in paragraph at lines 16458--16462 []\T1/ptm/m/n/10.95 Larger parts of a ma-trix can be changed si-mul-ta-ne-ously . Let-ting \T1/pcr/m/n/10.95 A := [[4,5],[2,6]] [388]>] [389 [17 <./sound_guitar.png] Overfull \hbox (10.65373pt too wide) in paragraph at lines 16578--16578 []\T1/ptm/b/n/12 Cumulated sum of el-e-ments of each col-umn of a ma-trix : \T1 /pcr/m/n/12 cumSum Overfull \hbox (10.24542pt too wide) in paragraph at lines 16588--16588 []\T1/ptm/b/n/12 Multiplication of el-e-ments of each col-umn of a ma-trix : \T 1/pcr/m/n/12 product [390] [391] [392] [393] [394] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16778--16782 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [395]>] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16794--16798 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16808--16812 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16824--16828 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16837--16841 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [396] [18 <./sound_salon.png Overfull \hbox (4.4025pt too wide) in paragraph at lines 16851--16855 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [397] [398] [399]>] [19 <./sound_reverb.png [400] Overfull \hbox (9.29686pt too wide) in paragraph at lines 17084--17084 []\T1/ptm/b/n/12 Add $\OML/cmm/m/it/12 k$ \T1/ptm/b/n/12 times a row to an an-o ther row : \T1/pcr/m/n/12 mRowAdd, scaleadd, Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 17084. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 17084. [401] [402] [403]>] [404] [20 <./signalproc_mavg1.png Overfull \hbox (14.48955pt too wide) in paragraph at lines 17234--17235 \T1/pcr/m/n/10.95 border(A,b)=tran([op(tran(A)),b])=tran(append(tran(A),b)) Overfull \hbox (30.02687pt too wide) in paragraph at lines 17246--17255 \T1/pcr/m/n/10.95 count \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10.95 f(A[0,0])+ ..f(A[p-1,q-1]) \T1/ptm/m/n/10.95 (resp. \T1/pcr/m/n/10.95 f(l[0])+..f(l[n-1])\ T1/ptm/m/n/10.95 ) [405] [406] Overfull \hbox (8.78134pt too wide) in paragraph at lines 17294--17294 []\T1/ptm/b/n/12 Statistics func-tions act-ing on col-umn ma-tri-ces : \T1/pcr/ m/n/12 mean\T1/ptm/b/n/12 , \T1/pcr/m/n/12 stddev\T1/ptm/b/n/12 , Overfull \hbox (4.89598pt too wide) in paragraph at lines 17294--17294 \T1/pcr/m/n/12 variance\T1/ptm/b/n/12 , \T1/pcr/m/n/12 median\T1/ptm/b/n/12 , \ T1/pcr/m/n/12 quantile\T1/ptm/b/n/12 , \T1/pcr/m/n/12 quartiles\T1/ptm/b/n/12 , \T1/pcr/m/n/12 boxwhisker Overfull \hbox (35.29462pt too wide) in paragraph at lines 17325--17325 \T1/pcr/m/n/10.95 median([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], [407] Overfull \hbox (48.4346pt too wide) in paragraph at lines 17331--17331 \T1/pcr/m/n/10.95 quantile([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], Overfull \hbox (22.15463pt too wide) in paragraph at lines 17331--17331 \T1/pcr/m/n/10.95 [3,4,2,5,6,0,1],[4,2,5,6,0,1,3],[2,5,6,0,1,3,4]],0.25) Overfull \hbox (48.4346pt too wide) in paragraph at lines 17335--17335 \T1/pcr/m/n/10.95 quantile([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], Overfull \hbox (22.15463pt too wide) in paragraph at lines 17335--17335 \T1/pcr/m/n/10.95 [3,4,2,5,6,0,1],[4,2,5,6,0,1,3],[2,5,6,0,1,3,4]],0.75) Overfull \hbox (55.0046pt too wide) in paragraph at lines 17343--17343 \T1/pcr/m/n/10.95 quartiles([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], [408]>] [409] [21 <./signalproc_mavg2 .png Overfull \hbox (40.76952pt too wide) in paragraph at lines 17434--17435 \T1/pcr/m/n/10.95 [[1,0,0,0,0],[0,2,0,0,0],[0,0,3,0,0],[0,0,0,4,0],[0,0,0,0,5] ] [410] [411] [412>]] [22 <./sound_wav4.png [413] [414]>] [415] [23 <./sound_noise.png [416] [417] [418] [419]>] [24 <./sound_clean.png Overfull \hbox (8.6376pt too wide) in paragraph at lines 17899--17900 \T1/ptm/m/n/10.95 max-i-mized or min-i-mized sub-ject to lin-ear (in)equality c on-straints), as well as (mixed) Overfull \hbox (30.99112pt too wide) in paragraph at lines 17908--17909 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_nonnegative\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_integer \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 integer\T1 /ptm/m/n/10.95 ), \T1/pcr/m/n/10.95 lp_binary Overfull \hbox (28.33032pt too wide) in paragraph at lines 17912--17913 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 exact\T1/ptm/m/n/10.95 , \T1/pc r/m/n/10.95 float\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_simplex \T1/ptm/m/n/1 0.95 or \T1/pcr/m/n/10.95 lp_interiorpoint [420] Overfull \hbox (47.89798pt too wide) in paragraph at lines 17919--17920 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_depthfirst\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_breadthfirst\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_hyb rid Overfull \hbox (25.97609pt too wide) in paragraph at lines 17920--17921 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_firstfractional\T1/ptm/m/n/1 0.95 , \T1/pcr/m/n/10.95 lp_lastfractional\T1/ptm/m/n/10.95 , Overfull \hbox (3.2868pt too wide) in paragraph at lines 17920--17921 \T1/pcr/m/n/10.95 lp_mostfractional \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 lp_p seudocost \T1/ptm/m/n/10.95 (branch-ing vari-able se- Overfull \hbox (0.5381pt too wide) in paragraph at lines 17927--17928 \T1/ptm/m/n/10.95 the op-tion \T1/pcr/m/n/10.95 lp_maximize=true \T1/ptm/m/n/10 .95 or \T1/pcr/m/n/10.95 lp_maximize \T1/ptm/m/n/10.95 or sim-ply \T1/pcr/m/n/1 0.95 maximize\T1/ptm/m/n/10.95 . Also [421> ]] [25 <./xcas-conic1.png [422] Overfull \hbox (8.43135pt too wide) in paragraph at lines 18012--18013 \T1/ptm/m/n/10.95 called (\T1/ptm/m/it/10.95 mixed\T1/ptm/m/n/10.95 ) \T1/ptm/m /it/10.95 in-te-ger pro-gram-ming prob-lems\T1/ptm/m/n/10.95 , are solved by ap -ply-ing branch&bound [423] Overfull \hbox (34.536pt too wide) in paragraph at lines 18078--18079 \T1/ptm/m/n/10.95 to stop pre-ma-turely when the ex-e-cu-tion takes too much ti me. One can set \T1/pcr/m/n/10.95 lp_timelimit Overfull \hbox (17.59721pt too wide) in paragraph at lines 18078--18079 \T1/ptm/m/n/10.95 find an op-ti-mal so-lu-tion. Other ways are to set \T1/pcr/m /n/10.95 lp_nodelimit \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 lp_depthlimit [424] Overfull \hbox (37.48225pt too wide) in paragraph at lines 18092--18093 \T1/ptm/m/n/10.95 egy is \T1/pcr/m/n/10.95 lp_hybrid \T1/ptm/m/n/10.95 : be-for e an in-cum-bent so-lu-tion is found, solver uses \T1/pcr/m/n/10.95 lp_depthfir st [425] Overfull \hbox (34.38353pt too wide) in paragraph at lines 18114--18116 \T1/ptm/m/n/10.95 fore an op-ti-mal so-lu-tion is found. When \T1/pcr/m/n/10.95 lp_nodeselect \T1/ptm/m/n/10.95 is set to \T1/pcr/m/n/10.95 lp_breadthfirst Overfull \hbox (24.72533pt too wide) in paragraph at lines 18114--18116 \T1/ptm/m/n/10.95 the solver needs to ex-am-ine only about 20000 sub-prob-lems, but when set to \T1/pcr/m/n/10.95 lp_hybrid Overfull \hbox (30.24437pt too wide) in paragraph at lines 18121--18122 []\T1/ptm/b/n/10.95 Displaying de-tailed out-put.[] \T1/ptm/m/n/10.95 By typ-i ng \T1/pcr/m/n/10.95 lp_verbose=true \T1/ptm/m/n/10.95 or sim-ply \T1/pcr/m/n/1 0.95 lp_verbose Overfull \hbox (60.47949pt too wide) in paragraph at lines 18124--18124 []\T1/pcr/m/n/10.95 : nodes active, lower bound: [, integrality gap: ][] [426] Overfull \hbox (73.61948pt too wide) in paragraph at lines 18143--18143 []\T1/pcr/m/n/10.95 Applying branch&bound method to find integer feasible solut ions...[] Overfull \hbox (1.76942pt too wide) in paragraph at lines 18155--18156 []\T1/ptm/m/n/10.95 Specifying \T1/pcr/m/n/10.95 lp_method=float \T1/ptm/m/n/10 .95 forces \T1/pcr/m/n/10.95 lpsolve \T1/ptm/m/n/10.95 to use floating-point so lver. Overfull \hbox (42.39888pt too wide) in paragraph at lines 18155--18156 \T1/ptm/m/n/10.95 plex solver pa-ram-e-ters can be con-trolled by set-ting \T1/ pcr/m/n/10.95 lp_timelimit\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_gaptolerance Overfull \hbox (1.40776pt too wide) in paragraph at lines 18157--18158 []\T1/ptm/m/n/10.95 Setting \T1/pcr/m/n/10.95 lp_method \T1/ptm/m/n/10.95 to \T 1/pcr/m/n/10.95 lp_interiorpoint \T1/ptm/m/n/10.95 uses primal-dual interior-po int [427] Overfull \hbox (40.76952pt too wide) in paragraph at lines 18178--18179 \T1/pcr/m/n/10.95 [2255937.4968,[x1=688490.254009,x2=2716245.85277,x3=1680.05] ] Overfull \hbox (34.61482pt too wide) in paragraph at lines 18184--18185 \T1/ptm/m/n/10.95 by in-clud-ing \T1/pcr/m/n/10.95 lp_method=lp_interiorpoint \ T1/ptm/m/n/10.95 af-ter \T1/pcr/m/n/10.95 assume=lp_nonnegative \T1/ptm/m/n/10. 95 : Overfull \hbox (35.10065pt too wide) in paragraph at lines 18193--18194 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that \T1/pcr/m/n/10.95 somefile.lp \ T1/ptm/m/n/10.95 file is stored in di-rec-tory \T1/pcr/m/n/10.95 /path/to/file Overfull \hbox (7.91956pt too wide) in paragraph at lines 18215--18215 []\T1/pcr/m/n/10.95 Reading problem data from '/path/to/file/somefile.lp'...[] [428] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18224--18224 \T1/pcr/m/n/10.95 lpsolve("/path/to/file/somefile.lp",x2=1..8,x3=-10..10, Underfull \hbox (badness 2582) in paragraph at lines 18234--18234 [][][][][][][]\T1/ptm/m/n/9 See \T1/pcr/m/n/9 https://www.gnu.org/software/glpk / \T1/ptm/m/n/9 for in-stalling GLPK in Linux or [429] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18263--18263 []\T1/pcr/m/n/10.95 C:=[[36,40,32,43,29],[28,27,29,40,38],[34,35,41,29,31], [430]>] [431] [26 <./xcas-quadric1.png [432] Overfull \hbox (77.12352pt too wide) in paragraph at lines 18448--18449 \T1/pcr/m/n/10.95 +infinity \T1/ptm/m/n/10.95 for $\OML/cmm/m/it/10.95 b$\T1/pt m/m/n/10.95 . Also, pa-ram-e-ter \T1/pcr/m/n/10.95 vars \T1/ptm/m/n/10.95 may b e en-tered as e.g. \T1/pcr/m/n/10.95 [x1=a1,x2=a2,...,xn=an]\T1/ptm/m/n/10.95 , [433] [434] Overfull \hbox (5.18549pt too wide) in paragraph at lines 18537--18538 []\T1/ptm/m/n/10.95 The ob-jec-tive is min-i-mized by de-fault, un-less \T1/pcr /m/n/10.95 maximize \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 maximize=true [435] Overfull \hbox (14.48955pt too wide) in paragraph at lines 18551--18552 \T1/pcr/m/n/10.95 [-1.73205080757,[x1=-4.77142305945e-08,x2=1.73205080757]] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18581--18583 \T1/pcr/m/n/10.95 [x1<=1,x2<=2,x3<=3,x4<=4,x5<=5],assume=nlp_nonnegative) [436] Overfull \hbox (29.65047pt too wide) in paragraph at lines 18625--18630 \T1/pcr/m/n/10.95 frobenius_norm \T1/ptm/m/n/10.95 re-turns the Frobe-nius norm of the ma-trix; namely $[]$. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 18647. 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[438] Underfull \hbox (badness 10000) in paragraph at lines 18695--18704 Overfull \hbox (9.02397pt too wide) in paragraph at lines 18712--18714 []\T1/pcr/m/n/10.95 matrix_norm(A,inf) \T1/ptm/m/n/10.95 is the same as \T1/pcr /m/n/10.95 linfnorm(A) \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 rownorm(A)\T1/pt m/m/n/10.95 . [439] [440] [441] Overfull \hbox (47.33951pt too wide) in paragraph at lines 18863--18863 \T1/pcr/m/n/10.95 [[0.324869129433,0,0],[0,4.21431974338,0],[0,0,1.46081112719 ]] Overfull \hbox (6.28636pt too wide) in paragraph at lines 18867--18874 \T1/ptm/m/n/10.95 If $\OML/cmm/m/it/10.95 A$ \T1/ptm/m/n/10.95 is a di-ag-o-nal -iz-able ma-trix, \T1/pcr/m/n/10.95 egv \T1/ptm/m/n/10.95 (or \T1/pcr/m/n/10.95 eigenvectors eigenvects eigVc\T1/ptm/m/n/10.95 ) [442] Overfull \hbox (22.15463pt too wide) in paragraph at lines 18923--18923 \T1/pcr/m/n/10.95 [[1,1,2],[0,0,-1],[0,1,2]],[[0,0,-1],[1,0,-3],[0,1,4]] Overfull \hbox (9.01465pt too wide) in paragraph at lines 18932--18932 \T1/pcr/m/n/10.95 [[-1,0,0],[1,1,1],[0,0,1]],[[1,0,0],[0,0,2],[0,1,0]] [443] Overfull \hbox (9.37367pt too wide) in paragraph at lines 18944--18948 \T1/ptm/m/n/10.95 turns or-thog-o-nal eigen-vec-tors (not al-ways of norm equal to 1) i.e. \T1/pcr/m/n/10.95 tran(P)*P Overfull \hbox (41.86461pt too wide) in paragraph at lines 18951--18952 \T1/pcr/m/n/10.95 [[1,-1,1/2],[1,0,-1],[1,1,1/2]],[[6,0,0],[0,3,0],[0,0,3]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 18965--18965 \T1/pcr/m/n/10.95 [[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]] [444] Overfull \hbox (9.37367pt too wide) in paragraph at lines 19003--19007 \T1/ptm/m/n/10.95 turns or-thog-o-nal eigen-vec-tors (not al-ways of norm equal to 1) i.e. \T1/pcr/m/n/10.95 tran(P)*P Overfull \hbox (41.86461pt too wide) in paragraph at lines 19010--19011 \T1/pcr/m/n/10.95 [[1,-1,1/2],[1,0,-1],[1,1,1/2]],[[6,0,0],[0,3,0],[0,0,3]] [445] Overfull \hbox (369.26912pt too wide) in paragraph at lines 19016--19016 \T1/pcr/m/n/10.95 [[1,0,0],[0,1,1],[1,1,-1]],[[-1,0,0],[1,1,1],[0,-sqrt(2)-1,s qrt(2)-1]],[[1,0,0],[0,-(sqrt(2)),0],[0,0,sqrt(2)]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 19032--19032 \T1/pcr/m/n/10.95 [[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]] Overfull \hbox (67.04948pt too wide) in paragraph at lines 19048--19049 \T1/pcr/m/n/10.95 [[(3^^Bn+(-1)^^Bn)/2,(3^^Bn-(-1)^^Bn)/2],[(3^^Bn-(-1)^^Bn)/2 ,(3^^Bn+(-1)^^Bn)/2]] Overfull \hbox (55.58382pt too wide) in paragraph at lines 19051--19053 \T1/ptm/m/n/10.95 Notice that \T1/pcr/m/n/10.95 jordan([[1,2],[2,1]]) \T1/ptm/m /n/10.95 re-turns \T1/pcr/m/n/10.95 [[1,-1],[1,1]],[[3,0],[0,-1]]\T1/ptm/m/n/10 .95 . [446] Overfull \hbox (76.62883pt too wide) in paragraph at lines 19079--19079 []\T1/ptm/b/n/12 Characteristic poly-no-mial us-ing Hes-sen-berg al-go-rithm : \T1/pcr/m/n/12 pcar_hessenberg [447] [448] Overfull \hbox (1.16068pt too wide) in paragraph at lines 19186--19194 \T1/ptm/m/n/10.95 size $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/ m/n/10.95 1$ \T1/ptm/m/n/10.95 bor-dered with $\OT1/cmr/m/n/10.95 [0\OML/cmm/m/ it/10.95 ; \OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 ::; \OT1/cmr/m/n/10.95 0\OML /cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10 .95 ]$ \T1/ptm/m/n/10.95 as first row, and with $\OT1/cmr/m/n/10.95 [\OMS/cmsy/ m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.9 5 a[]; ::::; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 ] $ [449] [450] Overfull \hbox (21.05954pt too wide) in paragraph at lines 19235--19235 \T1/pcr/m/n/10.95 [[13,9,7],[6,4,3],[20,15,12]],[[3,0,30],[0,12,0],[0,0,60]] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 19263. 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[451]>] [452] [27 <./xcas-osculatingcir cle.png Overfull \hbox (47.33951pt too wide) in paragraph at lines 19354--19354 \T1/pcr/m/n/10.95 B:=[[x^^B2+x-1,1,0,1],[-1,x,0,-1],[0,x^^B2+1,x,0],[1,0,1,x^^ B2+x+1]] [453] [454] [455] [456] Overfull \hbox (323.27917pt too wide) in paragraph at lines 19519--19520 \T1/pcr/m/n/10.95 [[[4.0,0.0,0.0],[8.0,5.0,0.0]],[[1.0,0.0,0.0],[0.0,-0.8,0.6] ,[0.0,-0.6,-0.8]],[[1,0,0],[0,1,0],[0,0,1]]] Overfull \hbox (80.18947pt too wide) in paragraph at lines 19530--19531 \T1/pcr/m/n/10.95 [[[-30.0,0.0],[-38.4,-1.2]],[[-0.8,-0.6],[0.6,-0.8]],[[1,0], [0,1]]] Overfull \hbox (31.61588pt too wide) detected at line 19545 \OML/cmm/m/it/10.95 L \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 U \OMS/cmsy/m /n/10.95 ^^C \OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 P \ OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 B \OT1/cmr/m/n/10.95 = \OML/cmm/m/it /10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 )[]\OML/cmm /m/it/10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 ) = [\ OML/cmm/m/it/10.95 b[]; b[]::b[]\OT1/cmr/m/n/10.95 ]\OML/cmm/m/it/10.95 ; B \O T1/cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 b[]; b[]::b[]\OT1/cmr/m/n/10.95 ] [457] [458]>] [459] [28 <./xcas-evolute.png [460] [461] [462] Overfull \hbox (14.48955pt too wide) in paragraph at lines 19797--19798 \T1/pcr/m/n/10.95 conjugate_gradient([[2,1],[1,5]],[1,0],[0.55,-0.11],1e-2) Overfull \hbox (21.05954pt too wide) in paragraph at lines 19807--19808 \T1/pcr/m/n/10.95 conjugate_gradient([[2,1],[1,5]],[1,0],[0.55,-0.11],1e-10) Overfull \hbox (1.34956pt too wide) in paragraph at lines 19832--19832 \T1/pcr/m/n/10.95 [[(sqrt(3))/3,(sqrt(3))/3,(sqrt(3))/3],[(-(sqrt(6)))/6, Overfull \hbox (27.62953pt too wide) in paragraph at lines 19833--19833 []\T1/pcr/m/n/10.95 (-(sqrt(6)))/6,(sqrt(6))/3],[(-(sqrt(2)))/2,(sqrt(2))/2,0] ] [463] ( FP-DIV ) ( FP-DIV ) [464]>] [29 <./xcas-DrawSlp.png [465] ( FP-DIV ) ( FP-DIV ) [466] Overfull \hbox (43.45985pt too wide) detected at line 19990 [] [467]>] [30 <./xcas-bezie r1.png [468] [469] [470] [471] [472] [473] [474]>] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 20286. 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[475] [31 <./xcas-bezier2.png [476] [477] [478] Underfull \hbox (badness 10000) in paragraph at lines 20464--20466 [479] Overfull \hbox (21.05954pt too wide) in paragraph at lines 20529--20529 [] \T1/pcr/m/n/10.95 End reduction [[-4,0,0, -2], [0, -4,0,10], [0,0, -4, -2]][ ] Overfull \hbox (83.4212pt too wide) in paragraph at lines 20545--20545 []\T1/ptm/b/n/12 Solving a lin-ear sys-tem us-ing the Ja-cobi it-er-a-tion meth od: \T1/pcr/b/n/12 jacobi_linsolve [480] Overfull \hbox (4.91638pt too wide) in paragraph at lines 20578--20578 []\T1/ptm/b/n/12 Solving a lin-ear sys-tem us-ing the Gauss-Seidel it-er-a-tion method: [481] [482] [483>]] [32 <./xcas-boxwhisker.png [484] Underfull \hbox (badness 10000) in paragraph at lines 20795--20803 Overfull \hbox (20.92664pt too wide) in paragraph at lines 20830--20833 \T1/pcr/m/n/10.95 c_0, c_1 \T1/ptm/m/n/10.95 are the con-stants of in-te-gra-ti on : \T1/pcr/m/n/10.95 y(0)=c_0 \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y'(0)=c _1\T1/ptm/m/n/10.95 . 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[500] [501] Overfull \hbox (13.53424pt too wide) in paragraph at lines 21570--21578 \T1/ptm/m/n/10.95 where $\OML/cmm/m/it/10.95 ^^O$ \T1/ptm/m/n/10.95 is de-fined by \T1/pcr/m/n/10.95 epsilon \T1/ptm/m/n/10.95 in the \T1/pcr/m/n/10.95 cas \T 1/ptm/m/n/10.95 con-fig-u-ra-tion (\T1/pcr/m/n/10.95 Cfg \T1/ptm/m/n/10.95 menu , or \T1/pcr/m/n/10.95 cas_setup [502] [503] [504] Chapter 6. Overfull \hbox (34.74464pt too wide) in paragraph at lines 21669--21669 []\T1/ptm/b/n/14.4 Computing the cur-va-ture and re-lated val-ues: \T1/pcr/b/n/ 14.4 curvature, [505] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV )>] [506] Overfull \hbox (200.52504pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 6.2. COMPUTING THE CURVATURE AND RELATED VALUES: \T1/pcr/m/ sl/10.95 CURVATURE, OSCULATING_CIRCLE, EVOLUTE \T1/ptm/m/n/10.95 507 [507] [508] [35 <./xcas-cumfreq1.png Chapter 7. 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GRAPH OF A FUNCTION : \T1/pcr/m/n/10.95 PLOTFUNC FUNCP LOT DRAWFUNC GRAPH \T1/ptm/m/n/10.95 515 [515] Overfull \hbox (15.1681pt too wide) in paragraph at lines 22209--22221 \T1/pcr/m/n/10.95 plot3d(f(x,y),x,y) \T1/ptm/m/n/10.95 (resp. \T1/pcr/m/n/10.95 plot3d([f(u,v),g(u,v),h(u,v)],u,v)\T1/ptm/m/n/10.95 ) Overfull \hbox (45.30249pt too wide) in paragraph at lines 22209--22221 \T1/ptm/m/n/10.95 syn-tax \T1/pcr/m/n/10.95 plot3d(f(x,y),x=x0..x1,y=y0..y1) \T 1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 plot3d(f,x0..x1,y0..y1) [516]>] [36 [517 <./xc as-cumfreqint.png] [518] [519] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (32.08035pt too wide) in paragraph at lines 22378--22378 []\T1/ptm/b/n/14.4 Graph of in-equal-i-ties with 2 vari-ables : \T1/pcr/m/n/14. 4 plotinequation Overfull \hbox (47.33951pt too wide) in paragraph at lines 22382--22385 \T1/pcr/m/n/10.95 plotinequation([f1(x,y)] Overfull \hbox (6.55057pt too wide) in paragraph at lines 22597--22600 []\T1/pcr/m/n/10.95 plotimplicit(f(x,y,z),x=0..1,y=-1..1,z=-1..1) \T1/ptm/m/n/1 0.95 draws the Overfull \hbox (46.2507pt too wide) in paragraph at lines 22616--22616 []\T1/ptm/b/n/14.4 Parametric curves and sur-faces : \T1/pcr/m/n/14.4 plotparam paramplot [525] Overfull \hbox (7.09013pt too wide) in paragraph at lines 22652--22652 []\T1/ptm/b/n/12 3D para-met-ric sur-face : \T1/pcr/m/n/12 plotparam paramplot DrawParm [526] [37 <./xcas-cumfreq2.png Overfull \hbox (93.32945pt too wide) in paragraph at lines 22674--22674 \T1/pcr/m/n/10.95 plotparam([v*cos(u),v*sin(u),v],[u=0..pi,v=0..3],ustep=0.5,v step=0.5) ( FP-DIV ) ( FP-DIV ) [527] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (40.76952pt too wide) in paragraph at lines 22722--22723 \T1/pcr/m/n/10.95 parameq(bezier(point([0,0,0]),point([1,1,0]),point([0,1,1])) ) [528] Overfull \hbox (5.55646pt too wide) in paragraph at lines 22749--22749 []\T1/ptm/b/n/14.4 Graph of a re-cur-rent se-quence : \T1/pcr/m/n/14.4 plotseq seqplot Overfull \hbox (64.24176pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.17. GRAPH OF A RECURRENT SEQUENCE : \T1/pcr/m/n/10.95 PLO TSEQ SEQPLOT GRAPHE_SUITE \T1/ptm/m/n/10.95 529 [529] Overfull \hbox (14.20987pt too wide) in paragraph at lines 22794--22794 []\T1/ptm/b/n/14.4 Plotting a so-lu-tion of a dif-fer-en-tial equa-tion : \T1/p cr/m/n/14.4 plotode Overfull \hbox (2.18507pt too wide) in paragraph at lines 22831--22831 []\T1/ptm/b/n/14.4 Interactive plot-ting of so-lu-tions of a dif-fer-en-tial eq ua- Overfull \hbox (52.12758pt too wide) in paragraph at lines 22831--22831 \T1/ptm/b/n/14.4 tion : \T1/pcr/m/n/14.4 interactive_plotode interactive_odeplo t Overfull \hbox (0.75694pt too wide) in paragraph at lines 22832--22842 \T1/pcr/m/n/10.95 interactive_plotode(f(t,y),[t,y]) \T1/ptm/m/n/10.95 draws the tan-gent field of the dif- [530] Overfull \hbox (1.34956pt too wide) in paragraph at lines 22876--22877 \T1/pcr/m/n/10.95 animate(sin(a*x),x=-pi..pi,a=-2..2,frames=10,color=red) Overfull \hbox (315.36624pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.20. INTERACTIVE PLOTTING OF SOLUTIONS OF A DIFFERENTIAL E QUATION : \T1/pcr/m/n/10.95 INTERACTIVE_PLOTODE INTERACTIVE_ODEPLOT \T1/ptm/m/n /10.95 531 [531] Overfull \hbox (7.91956pt too wide) in paragraph at lines 22925--22925 \T1/pcr/m/n/10.95 animation(seq(plotfunc([cos(a*x),sin(a*x)],x=0..2*pi/a), [532] Overfull \hbox (7.91956pt too wide) in paragraph at lines 22941--22941 \T1/pcr/m/n/10.95 animation(seq(plotode(sin(x*y),[x,y],[0,a]),a,-4,4,0.5)) [533] [534] [535] [536] Chapter 8. [537]>] [538] Overfull \hbox (4.02478pt too wide) in paragraph at lines 23167--23169 []\T1/ptm/m/n/10.95 Like \T1/pcr/m/n/10.95 stddev\T1/ptm/m/n/10.95 , the \T1/pc r/m/n/10.95 stddevp \T1/ptm/m/n/10.95 com-mand can take a sec-ond ar-gu-ment fo r weights. [539] [38 <./xcas-barplot1.png [540] Overfull \hbox (10.28056pt too wide) in paragraph at lines 23295--23302 \T1/ptm/m/n/10.95 A boxwhisker is a graph-i-cal view of the quar-tiles of a lis t of num-bers. The boxwhisker ( FP-DIV ) ( FP-DIV ) [541] Overfull \hbox (7.91956pt too wide) in paragraph at lines 23388--23389 \T1/pcr/m/n/10.95 histogram([[1.5..1.65,50],[1.65..1.7,20],[1.7..1.8,30]]) ( FP-DIV ) ( FP-DIV ) [542] ( FP-DIV ) ( FP-DIV ) [543] Overfull \hbox (100.11449pt too wide) in paragraph at lines 23468--23468 []\T1/ptm/b/n/12 Cumulative fre-quen-cies: \T1/pcr/b/n/12 cumulated_frequencies [] frequences_cumulees[] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.91956pt too wide) in paragraph at lines 23508--23509 \T1/pcr/m/n/10.95 cumulated_frequencies([[1..2,03],[2..4,0.4],[4..5,0.3]]) ( FP-DIV ) ( FP-DIV ) [544]>] Overfull \hbox (9.56572pt too wide) in paragraph at lines 23515--23519 []\T1/ptm/m/n/10.95 If the ma-trix given to \T1/pcr/m/n/10.95 cumulated_frequen cies \T1/ptm/m/n/10.95 has more than two columns, ( FP-DIV ) ( FP-DIV [39 <./xcas-barplot2.png ) ( FP-DIV ) ( FP-DIV ) [545] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23553--23554 \T1/pcr/m/n/10.95 bar_plot([[2,"xyz","abc"],["A",2,5],["B",5,6],["C",6,6]]) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (21.05954pt too wide) in paragraph at lines 23575--23576 \T1/pcr/m/n/10.95 camembert([[2,"xyz","abc"],["A",2,5],["B",5,6],["C",6,6]]) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (136.27075pt too wide) in paragraph at lines 23584--23584 []\T1/ptm/b/n/12 Covariance and cor-re-la-tion: \T1/pcr/b/n/12 covariance[] cor relation[] covariance_correlation[] Overfull \hbox (1.8058pt too wide) in paragraph at lines 23586--23592 \T1/ptm/m/n/10.95 The co-vari-ance of two ran-dom vari-ables mea-sures their co n-nect-ed-ness; i.e., whether [546] Overfull \hbox (47.33951pt too wide) in paragraph at lines 23661--23662 \T1/pcr/m/n/10.95 1,4,9,16],[1,3,0,5,0],[2,0,1,0,0],[3,0,0,5,0],[4,0,0,0,2]],- 1) [547] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV )>] [548] [40 Overfull \hbox (92.63928pt too wide) in paragraph at lines 23737--23737 []\T1/ptm/b/n/12 Polygonal paths: \T1/pcr/b/n/12 polygonplot[] ligne_polygonale [] linear_interpolate[] ( FP-DIV <./xcas-piechart1.png ) ( FP-DIV ) Overfull \hbox (71.11533pt too wide) in paragraph at lines 23775--23787 []\T1/ptm/m/n/10.95 If you want to get co-or-di-nates on the polyg-o-nal path, you can use the \T1/pcr/m/n/10.95 linear_interpolate [549] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (55.60684pt too wide) in paragraph at lines 23823--23823 []\T1/ptm/b/n/12 Linear re-gres-sion: \T1/pcr/b/n/12 linear_regression[] linear _regression_plot[] [550] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (154.95456pt too wide) in paragraph at lines 23866--23866 []\T1/ptm/b/n/12 Exponential re-gres-sion: \T1/pcr/b/n/12 exponential_regressio n[] exponential_regression_plot[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23876--23877 \T1/pcr/m/n/10.95 evalf(exponential_regression([[1,1],[2,4],[3,9],[4,16]])) Overfull \hbox (27.67761pt too wide) in paragraph at lines 23891--23893 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 exponential_regression_plot\T1/ptm/m/n/10.95 ; [551] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (156.9346pt too wide) in paragraph at lines 23904--23904 []\T1/ptm/b/n/12 Logarithmic re-gres-sion: \T1/pcr/b/n/12 logarithmic_regressio n[] logarithmic_regression_plot[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23914--23915 \T1/pcr/m/n/10.95 evalf(logarithmic_regression([[1,1],[2,4],[3,9],[4,16]])) Overfull \hbox (9.28842pt too wide) in paragraph at lines 23927--23929 \T1/ptm/m/n/10.95 so the best fit ex-po-nen-tial curve will be $\OML/cmm/m/it/1 0.95 y \OT1/cmr/m/n/10.95 = 10\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 150645000 2 [](\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr /m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 564824055818$\T1/ptm/m/n/10 .95 . Overfull \hbox (27.67761pt too wide) in paragraph at lines 23930--23932 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 exponential_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV ) [552] Overfull \hbox (38.83116pt too wide) in paragraph at lines 23943--23943 []\T1/ptm/b/n/12 Power re-gres-sion: \T1/pcr/b/n/12 power_regression[] power_re gression_plot[] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (136.30681pt too wide) in paragraph at lines 23982--23982 []\T1/ptm/b/n/12 Polynomial re-gres-sion: \T1/pcr/b/n/12 polynomial_regression[ ] polynomial_regression_plot[] Overfull \hbox (61.30038pt too wide) in paragraph at lines 23984--23992 \T1/ptm/m/n/10.95 coordinates, or sim-ply by a list of points, as well as a pow er $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/10.95 , the \T1/pcr/m/n/10.95 polynomial_ regression [553] Overfull \hbox (21.10762pt too wide) in paragraph at lines 24009--24011 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 polynomial_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV ) Overfull \hbox (90.4067pt too wide) in paragraph at lines 24020--24020 []\T1/ptm/b/n/12 Logistic re-gres-sion: \T1/pcr/b/n/12 logistic_regression[] lo gistic_regression_plot[] [554] Overfull \hbox (60.47949pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 Correlation 0.780548607383, Estimated total P=-0.1559139 78495[] Overfull \hbox (93.32945pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 Returning estimated Pcumul, Pinstant, Ptotal, Pinstantma x, tmax, R[] Overfull \hbox (159.02937pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 [-0.155913978495/(1+exp(-0.0554152581707*x+0.14008851334 4+3.14159265359*i)),[] Overfull \hbox (218.1593pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 -0.00161022271237/(1+cos((-i)*(-0.0554152581707*x+0.140 088513344+3.14159265359*i))),[] Overfull \hbox (191.87933pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 -0.155913978495,-0.000805111356186,2.52797727501+56.691 8346552*i,0.780548607383][] Overfull \hbox (45.71123pt too wide) in paragraph at lines 24065--24067 []\T1/ptm/m/n/10.95 You can plot the lo-gis-tic equa-tion with the com-mand \T1 /pcr/m/n/10.95 logistic_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV ) Overfull \hbox (13.35335pt too wide) in paragraph at lines 24078--24078 []\T1/ptm/b/n/12 Producing uni-formly dis-tributed ran-dom num-bers: \T1/pcr/b/ n/12 rand[] random[] [555] [556]>] [41 <./xcas-piechart2.pn g Overfull \hbox (67.01683pt too wide) in paragraph at lines 24222--24222 []\T1/ptm/b/n/12 Producing ran-dom num-bers with the bi-no-mial dis-tri-bu-tion : \T1/pcr/b/n/12 randbinomial[] Overfull \hbox (35.0507pt too wide) in paragraph at lines 24241--24246 \T1/ptm/m/n/10.95 prob-a-bil-ity that one of sev-eral mu-tu-ally ex-clu-sive ev ents oc-curs), the \T1/pcr/m/n/10.95 randmultinomial [557] Overfull \hbox (42.9092pt too wide) in paragraph at lines 24268--24268 []\T1/ptm/b/n/12 Producing ran-dom num-bers with a Pois-son dis-tri-bu-tion: \T 1/pcr/b/n/12 randpoisson[] Overfull \hbox (20.20529pt too wide) in paragraph at lines 24288--24288 []\T1/ptm/b/n/12 Producing ran-dom num-bers with a nor-mal dis-tri-bu-tion: \T1 /pcr/b/n/12 randnorm[] [558] Overfull \hbox (8.8468pt too wide) in paragraph at lines 24357--24360 []\T1/ptm/m/n/10.95 Given three in-te-gers $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/1 0.95 , $\OML/cmm/m/it/10.95 p$ \T1/ptm/m/n/10.95 and $\OML/cmm/m/it/10.95 a$\T1 /ptm/m/n/10.95 , \T1/pcr/m/n/10.95 randmatrix($\OML/cmm/m/it/10.95 n$\T1/pcr/m/ n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 a$\T1/p cr/m/n/10.95 ) [559] Overfull \hbox (284.95432pt too wide) in paragraph at lines 24381--24382 \T1/pcr/m/n/10.95 [[0.90923402831,0.594602484722,0.250897713937],[0.3326116949 32,0.145975249354,0.543010003399]] Overfull \hbox (62.51622pt too wide) in paragraph at lines 24385--24396 [] Overfull \hbox (30.94113pt too wide) in paragraph at lines 24385--24396 \T1/ptm/m/n/10.95 In this case, the third ar-gu-ment must be one of \T1/pcr/m/n /10.95 'rand($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1 /pcr/m/n/10.95 'binomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/ it/10.95 p$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (18.45857pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'binomial,$\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm /m/it/10.95 p$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'randbin omial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/ m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'multinomial($\OML/cmm/m/it/1 0.95 P$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 K$\T1/pcr/m/n/10.95 )'\T1/ptm/m/ n/10.95 , Overfull \hbox (25.8865pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'multinomial,$\OML/cmm/m/it/10.95 P$\T1/pcr/m/n/10.95 ,$\OML/ cmm/m/it/10.95 K$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'rand multinomial($\OML/cmm/m/it/10.95 P$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 K$\T 1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'poisson($\OML/cmm/m/it /10.95 ^^U$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (46.1609pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'poisson, $\OML/cmm/m/it/10.95 ^^U$\T1/pcr/m/n/10.95 '\T1/ptm /m/n/10.95 , \T1/pcr/m/n/10.95 'randpoisson($\OML/cmm/m/it/10.95 ^^U$\T1/pcr/m/ n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'normald($\OML/cmm/m/it/10.95 ^ ^V$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/ 10.95 , \T1/pcr/m/n/10.95 'normald,$\OML/cmm/m/it/10.95 ^^V$\T1/pcr/m/n/10.95 , $\OML/cmm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , Overfull \hbox (52.06851pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'randnorm($\OML/cmm/m/it/10.95 ^^V$\T1/pcr/m/n/10.95 ,$\OML/c mm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'ex p($\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10 .95 'exp,$\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/ m/n/10.95 'randexp($\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'fisher($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cm m/m/it/10.95 m$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (231.29929pt too wide) in paragraph at lines 24408--24409 \T1/pcr/m/n/10.95 [[2.6324726358,0.539273367446,0.793750476229],[2.24729803442 ,1.28189228187,2.25750809791]] [560] [561] [562] [563] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [564] ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (4.66519pt too wide) in paragraph at lines 24636--24637 \T1/ptm/m/n/10.95 needed to pre-vent its eval-u-a-tion when pass-ing it to \T1/ pcr/m/n/10.95 randvector \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 randmatrix\T1/p tm/m/n/10.95 . [565] [42 <./xcas-scatterplot.png Overfull \hbox (24.48555pt too wide) in paragraph at lines 24648--24649 \T1/ptm/m/n/10.95 To save typ-ing, one can de-fine Z with \T1/pcr/m/n/10.95 eva l$\OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 ^^C\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n /10.95 0)$ \T1/ptm/m/n/10.95 and pass \T1/pcr/m/n/10.95 eval$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Z; \OT1/cmr/m/n/10.95 1)$ \T1/ptm/m/n/10.95 to \T1/pcr/m/ n/10.95 randvector Overfull \hbox (28.7865pt too wide) in paragraph at lines 24710--24710 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the bi-no -mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 binomial_cdf[] Overfull \hbox (36.52168pt too wide) in paragraph at lines 24712--24718 \T1/ptm/m/n/10.95 com-mand; \T1/pcr/m/n/10.95 binomial_cdf($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/ 10.95 x$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/10.95 , which in this case will equal \T 1/pcr/m/n/10.95 binomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OT1/cmr/m/ n/10.95 0$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) [566] Overfull \hbox (19.02208pt too wide) in paragraph at lines 24727--24732 \T1/ptm/m/n/10.95 You can give \T1/pcr/m/n/10.95 binomial_cdf \T1/ptm/m/n/10.95 an ad-di-tional ar-gu-ment; \T1/pcr/m/n/10.95 binomial_cdf($\OML/cmm/m/it/10.9 5 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it /10.95 x$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) Overfull \hbox (5.29236pt too wide) in paragraph at lines 24727--24732 \T1/pcr/m/n/10.95 = Prob($\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cm m/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/10.95 , which in this case would be \T1/pcr/m/n/10.95 binomial($\O ML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,ceil($\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/ 10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) Overfull \hbox (16.77452pt too wide) in paragraph at lines 24743--24743 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 binomial_icdf[] Overfull \hbox (100.98831pt too wide) in paragraph at lines 24759--24762 \T1/ptm/m/n/10.95 Note that \T1/pcr/m/n/10.95 binomial_cdf(4,0.5,3) \T1/ptm/m/n /10.95 is $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 9375$\T1 /ptm/m/n/10.95 , big-ger than $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cm r/m/n/10.95 9$\T1/ptm/m/n/10.95 , while \T1/pcr/m/n/10.95 binomial_cdf(4,0.5,2) Overfull \hbox (41.9593pt too wide) in paragraph at lines 24766--24766 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the neg-a-tive bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 negbinomial[] Overfull \hbox (63.05519pt too wide) in paragraph at lines 24767--24773 \T1/ptm/m/n/10.95 given by the neg-a-tive bi-no-mial dis-tri-bu-tion, and can b e com-puted with \T1/pcr/m/n/10.95 negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m /n/10.95 ,$\OML/cmm/m/it/10.95 k$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/ pcr/m/n/10.95 )\T1/ptm/m/n/10.95 . Overfull \hbox (73.06837pt too wide) in paragraph at lines 24787--24796 \T1/ptm/m/n/10.95 The sec-ond for-mula makes sense even if $\OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 is neg-a-tive, and you can write \T1/pcr/m/n/10.95 negbin omial$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n; k; p\OT1/cmr/m/n/10.95 ) = [567] Overfull \hbox (8.90561pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 negbinomial_cdf($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\O ML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ) = Prob($\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 x$ \T1/pcr/m/n/10.95 ) = negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\O T1/cmr/m/n/10.95 0$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) Overfull \hbox (27.21269pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 + ...+ negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 , floor($\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr /m/n/10.95 )\T1/ptm/m/n/10.95 , and \T1/pcr/m/n/10.95 negbinomial_cdf($\OML/cmm /m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OM L/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) Overfull \hbox (138.8707pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 = Prob($\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cm m/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) = negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,ceil($\OML/cmm/m/it/1 0.95 x$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) + $[] $ + negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,floor($\OML/cmm/m/it/10. 95 y$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/ 10.95 . Overfull \hbox (77.27287pt too wide) in paragraph at lines 24820--24820 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the neg-a-tive bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 negbinomial_icdf[] [568]>] Overfull \hbox (15.90944pt too wide) in paragraph at lines 24883--24883 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Pois- son dis-tri-bu-tion: \T1/pcr/b/n/10.95 poisson_cdf[] Overfull \hbox (3.89746pt too wide) in paragraph at lines 24913--24913 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Pois-son d is-tri-bu-tion: \T1/pcr/b/n/10.95 poisson_icdf[] Overfull \hbox (26.23586pt too wide) in paragraph at lines 24932--24932 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for a nor-mal dis-t ri-bu-tion: \T1/pcr/b/n/10.95 normald[] loi_normal[] [569] [43 <./xcas-batons.png Overfull \hbox (5.93495pt too wide) in paragraph at lines 24982--24985 \T1/ptm/m/n/10.95 You can also leave off the mean and stan-dard de-vi-a-tion, i n which case \T1/pcr/m/n/10.95 normal_cdf Overfull \hbox (4.28337pt too wide) in paragraph at lines 25012--25018 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with Prob($\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T [570] Overfull \hbox (8.22661pt too wide) in paragraph at lines 25042--25046 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 UTPN \T1/ptm/m/n/10.95 (the Up-per Tail Prob-a-bil-ity - Nor-mal dis-tri-bu-tion) will com-pute $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X > Overfull \hbox (15.48264pt too wide) in paragraph at lines 25071--25071 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for Stu-dent's dis- tri-bu-tion: \T1/pcr/b/n/10.95 student[] studentd[] [571] Overfull \hbox (8.16774pt too wide) in paragraph at lines 25104--25104 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for Stu-dent' s dis-tri-bu-tion: \T1/pcr/b/n/10.95 student_cdf[] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\chi' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 25169. [572] Overfull \hbox (5.57837pt too wide) in paragraph at lines 25202--25202 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the $\OML /cmm/m/it/10.95 ^^_[]$ \T1/ptm/b/n/10.95 dis-tri-bu-tion: \T1/pcr/b/n/10.95 chi square_cdf[] [573] Overfull \hbox (3.17429pt too wide) in paragraph at lines 25268--25268 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Fisher-Snéd écor dis-tri-bu-tion: \T1/pcr/b/n/10.95 fisher[] Overfull \hbox (55.32018pt too wide) in paragraph at lines 25293--25297 \T1/ptm/m/n/10.95 and $\OML/cmm/m/it/10.95 n[]$ \T1/ptm/m/n/10.95 de-grees of f ree-dom at a value $\OML/cmm/m/it/10.95 x$ \T1/ptm/m/n/10.95 is $[]\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 n[]; n[]; x\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/ 10.95 n[]; n[]; x\OT1/cmr/m/n/10.95 ) = Overfull \hbox (38.48785pt too wide) in paragraph at lines 25317--25317 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Fisher-Sné décor dis-tri-bu-tion: \T1/pcr/b/n/10.95 fisher_icdf[] [574]>] [44 <./xcas-polygonp lot.png Overfull \hbox (1.20322pt too wide) in paragraph at lines 25334--25334 [][]\T1/ptm/b/n/10.95 The up-per tail cu-mu-la-tive func-tion for the Fisher-Sn édécor dis-tri-bu-tion: \T1/pcr/b/n/10.95 UTPF[] Overfull \hbox (8.9346pt too wide) in paragraph at lines 25366--25366 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the gamma dis-tri-bu-tion: \T1/pcr/b/n/10.95 gammad_cdf[] [575] Overfull \hbox (45.51863pt too wide) in paragraph at lines 25455--25460 \T1/ptm/m/n/10.95 prob-a-bil-ity that the ran-dom vari-able lies be-tween the t wo val-ues; $[] \OT1/cmr/m/n/10.95 = [576] Overfull \hbox (35.5975pt too wide) in paragraph at lines 25508--25508 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion of the ge-o-m et-ric dis-tri-bu-tion: \T1/pcr/b/n/10.95 geometric_cdf[] Overfull \hbox (28.1735pt too wide) in paragraph at lines 25542--25542 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the ge-o-met-r ic dis-tri-bu-tion: \T1/pcr/b/n/10.95 geometric_icdf[] Overfull \hbox (10.74156pt too wide) in paragraph at lines 25561--25561 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Cauchy dis- tri-bu-tion: \T1/pcr/b/n/10.95 cauchy[] cauchyd[] [577] Overfull \hbox (9.99666pt too wide) in paragraph at lines 25594--25594 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Cauch y dis-tri-bu-tion: \T1/pcr/b/n/10.95 cauchy_cdf[] Overfull \hbox (10.49098pt too wide) in paragraph at lines 25641--25647 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/ n/10.95 ^^T [578] Overfull \hbox (26.2027pt too wide) in paragraph at lines 25659--25659 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the uni-form di s-tri-bu-tion: \T1/pcr/b/n/10.95 uniform[] uniformd[] Overfull \hbox (18.8878pt too wide) in paragraph at lines 25676--25676 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the uni-f orm dis-tri-bu-tion: \T1/pcr/b/n/10.95 uniform_cdf[] Overfull \hbox (67.5466pt too wide) in paragraph at lines 25692--25695 []\T1/ptm/m/n/10.95 With an ex-tra ar-gu-ment $\OML/cmm/m/it/10.95 y$ \T1/ptm/m /n/10.95 in $\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 a; b\OT1/cmr/m/n/10.95 ]$\ T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 uniform_cdf \T1/ptm/m/n/10.95 will com-put e $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 a; b; x; y\OT1/cmr/m/n/10.95 ) = Overfull \hbox (6.87582pt too wide) in paragraph at lines 25706--25706 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the uni-form d is-tri-bu-tion: \T1/pcr/b/n/10.95 uniform_icdf[] [579] Overfull \hbox (13.93849pt too wide) in paragraph at lines 25724--25724 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the ex-po-nen-t ial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential[] Overfull \hbox (61.26404pt too wide) in paragraph at lines 25740--25740 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the ex-po -nen-tial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential_cdf[] Overfull \hbox (74.26868pt too wide) in paragraph at lines 25756--25761 \T1/ptm/m/n/10.95 prob-a-bil-ity that the ran-dom vari-able lies be-tween the t wo val-ues; $[] \OT1/cmr/m/n/10.95 = Overfull \hbox (49.25206pt too wide) in paragraph at lines 25771--25771 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the ex-po-nen- tial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential_icdf[] [580]>] Overfull \hbox (24.34123pt too wide) in paragraph at lines 25790--25790 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Weibull dis -tri-bu-tion: \T1/pcr/b/n/10.95 weibull[] weibulld[] Overfull \hbox (17.02634pt too wide) in paragraph at lines 25814--25814 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Weibu ll dis-tri-bu-tion: \T1/pcr/b/n/10.95 weibull_cdf[] [581] [45 <./xcas-listplot.png Overfull \hbox (5.01436pt too wide) in paragraph at lines 25865--25865 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Weibull di s-tri-bu-tion: \T1/pcr/b/n/10.95 weibull_icdf[] Overfull \hbox (10.49098pt too wide) in paragraph at lines 25867--25874 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/ n/10.95 ^^T Overfull \hbox (7.91956pt too wide) in paragraph at lines 25915--25916 \T1/pcr/m/n/10.95 poly1[1/16,1/16,1/16,1/8,1/8,1/8,1/8,1/8,1/16,1/16,1/16] Overfull \hbox (99.89944pt too wide) in paragraph at lines 25925--25926 \T1/pcr/m/n/10.95 poly1[1/35,1/35,2/35,3/35,4/35,4/35,1/7,4/35,4/35,3/35,2/35, 1/35,1/35] [582] Overfull \hbox (67.04948pt too wide) in paragraph at lines 25945--25946 \T1/pcr/m/n/10.95 wilcoxons([1,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18,19 ,20]) Overfull \hbox (80.18947pt too wide) in paragraph at lines 25963--25964 \T1/pcr/m/n/10.95 wilcoxont([1,2,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18, 19,20]) Overfull \hbox (86.75946pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 P-value 9055/176358 (0.0513444244094), alpha=0.05 H0 not rejected[] Overfull \hbox (106.46944pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 wilcoxont([1,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18 ,19,20],0.3)[] [583] Overfull \hbox (34.19952pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 P-value 316/4199 (0.0752560133365), alpha=0.3 H0 rejecte d[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 25998--25998 [] \T1/pcr/m/n/10.95 Wilcoxon statistic: 18, p-value: 0.375, confidence level : 0.05[] Overfull \hbox (4.94077pt too wide) in paragraph at lines 26000--26000 []\T1/ptm/b/n/12 Moment gen-er-at-ing func-tions for prob-a-bil-ity dis-tri-bu- tions: \T1/pcr/b/n/12 mgf[] [584] Overfull \hbox (1.07176pt too wide) in paragraph at lines 26072--26073 \T1/ptm/m/n/10.95 and op-tion-ally a se-quence of op-tions. It per-forms ker-ne l den-sity es-ti-ma-tion[][][][][][] (KDE), [585] Overfull \hbox (31.22046pt too wide) in paragraph at lines 26095--26096 []\T1/pcr/m/n/10.95 spline= \T1/ptm/m/n/10.95 : sets \T1/pcr/m/n/10.95 option \T1/ptm/m/n/10.95 to \T1/pcr/m/n/10.95 piecewise \T1/ptm/m/n/10.95 and \ T1/pcr/m/n/10.95 interp \T1/ptm/m/n/10.95 to \T1/pcr/m/n/10.95 \T1/ptm/ m/n/10.95 . Overfull \hbox (1.34956pt too wide) in paragraph at lines 26109--26110 \T1/pcr/m/n/10.95 0.4*(exp(-8*(x-3)[][]^[]2)+2*exp(-8*(x-2)[][]^[]2)+exp(-8*(x -1)[][]^[]2)) ( FP-DIV ) ( FP-DIV ) [586] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (4.97383pt too wide) in paragraph at lines 26161--26162 \T1/pcr/m/n/10.95 geometric\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gammad\T1/ptm/ m/n/10.95 , \T1/pcr/m/n/10.95 betad\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 cauchy \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 cauchyd\T1/ptm/m/n/10.95 ) or \T1/pcr/m/n /10.95 weibull \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 weibulld\T1/ptm/m/n/10.95 ) , [587]>] ( FP-DIV ) ( FP-DIV ) [46 [588] Overfull \hbox (16.31805pt too wide) in paragraph at lines 26213--26221 \T1/ptm/m/n/10.95 pute char-ac-ter-is-tic fea-tures of the chain. If $\OML/cmm/ m/it/10.95 M$ \T1/ptm/m/n/10.95 is a tran-si-tion ma-trix, then \T1/pcr/m/n/10. 95 markov($\OML/cmm/m/it/10.95 M$\T1/pcr/m/n/10.95 ) Overfull \hbox (198.44933pt too wide) in paragraph at lines 26223--26224 \T1/pcr/m/n/10.95 markov([[0,0,1/2,0,1/2],[0,0,1,0,0],[1/4,1/4,0,1/4,1/4],[0,0 ,1/2,0,1/2],[0,0,0,0,1]]) Overfull \hbox (126.17941pt too wide) in paragraph at lines 26240--26241 \T1/pcr/m/n/10.95 randmarkov([[0,1/2,0,1/2],[0,1,0,0],[1/4,1/4,1/4,1/4],[0,0,1 /2,1/2]],2,10) Overfull \hbox (19.47916pt too wide) in paragraph at lines 26248--26252 []\T1/ptm/m/n/10.95 Alternatively, given a vec-tor $\OML/cmm/m/it/10.95 v \OT1/ cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 n[]; [] ; n[]\OT1/cmr/m/n/10.95 ]$\T1/ptm/ m/n/10.95 , the com-mand \T1/pcr/m/n/10.95 randmatrix($\OML/cmm/m/it/10.95 v$\T 1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 i[]$\T1/pcr/m/n/10.95 ) Overfull \hbox (145.88939pt too wide) in paragraph at lines 26259--26264 \T1/pcr/m/n/10.95 [0.259262238137,0.149948861946,0.143448150524,0.242132758802 ,0.205207990592], Overfull \hbox (145.88939pt too wide) in paragraph at lines 26259--26264 \T1/pcr/m/n/10.95 [0.231568633749,0.145429586345,0.155664673778,0.282556511895 ,0.184780594232]] [589] <./xcas-linregplot.png Overfull \hbox (86.75946pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Summary Z-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1!=mu2.[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Test returns 0 if probability to observe data is less th an 0.1[] Overfull \hbox (99.89944pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 (null hyp. mu1=mu2 rejected with less than alpha probabi lity error)[] [590] Overfull \hbox (34.19952pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Test returns 1 otherwise (can not reject null hypothesis )[] Overfull \hbox (145.88939pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 alpha level 0.1, multiplier*stddev/sqrt(sample size)= 1. 64485*0.02/5.47723[] Overfull \hbox (80.18947pt too wide) in paragraph at lines 26344--26344 [] \T1/pcr/m/n/10.95 Summary Z-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1] [626] [51 <./xcas-logisticregplot.png [627] [628] [629] [630] [631] [632] Overfull \hbox (31.41634pt too wide) in paragraph at lines 28493--28498 \T1/ptm/m/n/10.95 is run, such as \T1/pcr/m/n/10.95 makelist[] \T1/ptm/m/n/10.9 5 or \T1/pcr/m/n/10.95 $\T1/ptm/m/n/10.95 , in-stead of copy-ing a list; \T1/pc r/m/n/10.95 a := makelist(n,n,0,4) [633] [634] [635] [636] Overfull \hbox (45.88615pt too wide) in paragraph at lines 28801--28801 []\T1/ptm/b/n/12 Working with the graph-ics screen: \T1/pcr/b/n/12 DispG, DispH ome, ClrGraph, [637]>] [52 <./random_h ist1.png Overfull \hbox (16.88283pt too wide) in paragraph at lines 28851--28851 []\T1/ptm/b/n/12 Dealing with er-rors: \T1/pcr/b/n/12 try, catch, throw, error, ERROR [638] Overfull \hbox (40.76952pt too wide) in paragraph at lines 28892--28892 [] \T1/pcr/m/n/10.95 try { y := [[1,1]]*x; str := "This produced a product." ;}[] Overfull \hbox (119.60942pt too wide) in paragraph at lines 28892--28892 [] \T1/pcr/m/n/10.95 str := "This produced an error " + err + " The input i s returned.";}[] [639] Overfull \hbox (8.47087pt too wide) in paragraph at lines 28966--28966 []\T1/ptm/b/n/12 Starting the de-bug-ger: \T1/pcr/b/n/12 debug, sst, in, sst_in , cont, Overfull \hbox (49.19984pt too wide) in paragraph at lines 28966--28966 \T1/pcr/b/n/12 kill, break, breakpoint, halt, rmbrk, rmbreakpoint, [640]>] [641 [53 <./random_hist2.png] [642] Chapter 12. ( FP-DIV ) ( FP-DIV ) [643]>] [54 <./random_hist3.png Overfull \hbox (0.54688pt too wide) in paragraph at lines 29120--29123 \T1/ptm/m/n/10.95 toggles whether or not the co-or-di-nate axes are shown in su b-se-quent graphic screens. Overfull \hbox (87.7064pt too wide) in paragraph at lines 29143--29143 []\T1/ptm/b/n/12 Draw unit vec-tors in the plane: \T1/pcr/b/n/12 Ox_2d_unit_vec tor[] Oy_2d_unit_vector[] ( FP-DIV ) ( FP-DIV>] ) [644 [55 <./kde_plot1 .png] Overfull \hbox (0.83241pt too wide) in paragraph at lines 29163--29174 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 dot_paper \T1/ptm/m/n/10.95 com-mand dr aws dot-ted pa-per. This com-mand takes three manda- ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [645]>] Overfull \hbox (7.63406pt too wide) in paragraph at lines 29208--29217 \T1/ptm/m/n/10.95 spac-ing in the $\OML/cmm/m/it/10.95 y$ \T1/ptm/m/n/10.95 di- rec-tion. The op-tional fourth and fifth ar-gu-ments, \T1/pcr/m/n/10.95 x=xmin. .xmax ( FP-DIV [56 <./kde_plot2.png ) ( FP-DIV ) Overfull \hbox (31.2302pt too wide) in paragraph at lines 29231--29240 \T1/ptm/m/n/10.95 rec-tion. The op-tional fourth and fifth ar-gu-ments, \T1/pcr /m/n/10.95 x=xmin..xmax \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y=ymin..ymax\T1 /ptm/m/n/10.95 , ( FP-DIV ) ( FP-DIV ) [646]>] [57 <./fitdistr.png ( FP-DIV ) ( FP-DIV ) [647] Overfull \hbox (40.44118pt too wide) in paragraph at lines 29320--29320 [] \T1/pcr/m/n/10.95 C := append(C,square(j,j+1,color=j+filled));[] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) Underfull \vbox (badness 4954) has occurred while \output is active [648] [58 <./xcas-tr.png Overfull \hbox (1.65459pt too wide) in paragraph at lines 29385--29388 []\T1/ptm/m/n/10.95 The val-ues \T1/pcr/m/n/10.95 line_width_1\T1/ptm/m/n/10.95 ,...,\T1/pcr/m/n/10.95 line_width_8 \T1/ptm/m/n/10.95 change the [649] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.8445pt too wide) in paragraph at lines 29453--29458 \T1/pcr/m/sl/10.95 units\T1/pcr/m/n/10.95 ","\T1/pcr/m/sl/10.95 y units\T1/pcr/ m/n/10.95 "] \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 ["\T1/pcr/m/sl/10.95 x unit s\T1/pcr/m/n/10.95 ","\T1/pcr/m/sl/10.95 y units\T1/pcr/m/n/10.95 ","z units"]\ T1/ptm/m/n/10.95 . [650] Overfull \hbox (12.80217pt too wide) in paragraph at lines 29469--29470 []\T1/ptm/m/n/10.95 These set the names Overfull \hbox (6.12271pt too wide) in paragraph at lines 29471--29472 []\T1/ptm/m/n/10.95 These set the units Overfull \hbox (2.45479pt too wide) in paragraph at lines 29473--29476 []\T1/ptm/m/n/10.95 These set the ( FP-DIV ) ( FP-DIV ) [651] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [652] ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) [59 <./xcas-unit-vector.png Overfull \hbox (26.69461pt too wide) in paragraph at lines 29618--29618 []\T1/ptm/b/n/14.4 Define ge-o-met-ric ob-jects with-out draw-ing them: \T1/pcr /b/n/14.4 nodisp[] [653] ( FP-DIV ) ( FP-DIV ) [654] ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (11.23666pt too wide) in paragraph at lines 29727--29746 \T1/ptm/m/n/10.95 to the com-mands \T1/pcr/m/n/10.95 assume(Ax=[2.1,-8.16901408 451,8.16901408451]) ( FP-DIV [60 <./xcas-dot-paper.png ) ( FP-DIV ) [655] ( FP-DIV ) ( FP-DIV ) [656]>] [61 <./xcas-line-pape r.png ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.33821pt too wide) in paragraph at lines 29835--29839 []\T1/ptm/m/n/10.95 The sum \T1/pcr/m/n/10.95 B+A \T1/ptm/m/n/10.95 re-turns th e af-fix $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 + \OML /cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 i\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 a[]\OT1/cm r/m/n/10.95 )$\T1/ptm/m/n/10.95 . If \T1/pcr/m/n/10.95 D := point(B+A)\T1/ptm/m /n/10.95 , ( FP-DIV ) ( FP-DIV ) [657] Overfull \hbox (43.76132pt too wide) in paragraph at lines 29905--29905 []\T1/ptm/b/n/12 Find a point of in-ter-sec-tion of two ob-jects in the plane: \T1/pcr/b/n/12 single_inter[] [658] [659] ( FP-DIV ) ( FP-DIV ) [660] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 30056. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 30056. Overfull \hbox (0.38922pt too wide) in paragraph at lines 30062--30065 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 isobarycenter \T1/ptm/m/n/10.95 com-m and takes a list (or se-quence) of points and draws ( FP-DIV ) ( FP-DIV ) Overfull \hbox (30.62222pt too wide) in paragraph at lines 30081--30081 []\T1/ptm/b/n/12 The ver-tices of a poly-gon in the plane: \T1/pcr/b/n/12 verti ces[]\T1/ptm/b/n/12 , \T1/pcr/b/n/12 vertices_abc[] ( FP-DIV>] ) ( FP-DIV [62 <./xcas-grid-paper.png ) [661] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (11.55377pt too wide) in paragraph at lines 30107--30107 []\T1/ptm/b/n/12 The ver-tices of a poly-gon in the plane, closed: \T1/pcr/b/n/ 12 vertices_abca[] [662] ( FP-DIV ) ( FP-DIV ) [663] ( FP-DIV ) ( FP-DIV ) [664]>] ( FP-DIV ) ( FP-DIV [63 <./xcas-triangle-paper.png ) Overfull \hbox (9.13919pt too wide) in paragraph at lines 30306--30309 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 segment \T1/ptm/m/n/10.95 and \T1/pcr /m/n/10.95 vector \T1/ptm/m/n/10.95 com-mands re-turn and draw vec-tors. (The \ T1/pcr/m/n/10.95 segment ( FP-DIV ) ( FP-DIV ) [665] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [666] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [667] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (66.80107pt too wide) in paragraph at lines 30467--30467 []\T1/ptm/b/n/12 The per-pen-dic-u-lar bi-sec-tor of a seg-ment in the plane: \ T1/pcr/b/n/12 perpen_bisector[] [668] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [669]>] ( FP-DIV ) ( FP-DIV [64 ) <./xc as-red-triangle.png ( FP-DIV ) ( FP-DIV ) [670] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (9.16031pt too wide) in paragraph at lines 30608--30611 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 right_triangle \T1/ptm/m/n/10.95 com- mand takes three ar-gu-ments and an op-tional fourth. ( FP-DIV ) ( FP-DIV ) [671] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [672] ( FP-DIV ) ( FP-DIV>] ) [65 <./xcas-rainbow.png ( FP-DIV ) ( FP-DIV ) [673] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [674] [66 <./xcas-filledtriangle.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [675] ( FP-DIV ) ( FP-DIV ) ( FP-DIV> ] ) ( FP-DIV ) Overfull \hbox (15.49039pt too wide) in paragraph at lines 30850--30856 []\T1/ptm/m/n/10.95 Given \T1/pcr/m/n/10.95 rectangle(A,B,k)\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 Xcas \T1/ptm/m/n/10.95 com-putes \T1/pcr/m/n/10.95 D \T1/ptm /m/n/10.95 by $[]\OT1/cmr/m/n/10.95 ) = [] + [676] [67 <./xcas-some-triangles.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [677] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [678] [68 <./xcas-hello-legend.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [679]>] ( FP-DIV ) ( FP-DIV [69] ) [70 <./x cas-trianglefilled.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [680] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [681>]] [71 <./xcas-triangleA.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [682] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [683]>] ( FP-DIV ) ( FP-DIV [72 ) <./xcas-triangleNoA.pn g ( FP-DIV ) ( FP-DIV ) [684] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [685] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [73 <./xcas-legendC.png ( FP-DIV ) ( FP-DIV ) [686] ( FP-DIV ) ( FP-DIV ) [687] ( FP-DIV ) ( FP-DIV ) >] ( FP-DIV ) ( FP-DIV [74 <./xcas-assumea.png ) ( FP-DIV ) ( FP-DIV ) [688]>] [75 <./xcas-assumespoin t.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [689] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [690] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [691]>] [76 <./xcas-2dpoint.png [692] Overfull \hbox (38.37344pt too wide) in paragraph at lines 31633--31633 []\T1/ptm/b/n/12 The co-or-di-nates of a point, vec-tor or line in the plane: \ T1/pcr/b/n/12 coordinates[] [693] [694] Overfull \hbox (54.13019pt too wide) in paragraph at lines 31766--31766 []\T1/ptm/b/n/12 The rect-an-gu-lar co-or-di-nates of a point: \T1/pcr/b/n/12 r ectangular_coordinates[] [695]>] [77 <./xcas-subpts.png Overfull \hbox (6.71999pt too wide) in paragraph at lines 31890--31890 \T1/pcr/b/n/12 angleat[] angleatraw[] areaat[] areaatraw[] perimeterat[] Overfull \hbox (26.03995pt too wide) in paragraph at lines 31890--31890 \T1/pcr/b/n/12 perimeteratraw[] slopeat[] slopeatraw[] extract_measure[] Overfull \hbox (12.31754pt too wide) in paragraph at lines 31893--31905 \T1/ptm/m/n/10.95 are used to in-ter-ac-tively find and dis-play the ap-pro-pri -ate mea-sure in a two-dimensional [696] ( FP-DIV ) ( FP-DIV ) [697] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) >] [698] [78 <./xcas-addpts.p ng [699] ( FP-DIV ) ( FP-DIV ) >] ( FP-DIV ) ( FP-DIV [79 ) [700 <./xcas-barycenter.png] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (76.7979pt too wide) in paragraph at lines 32152--32152 []\T1/ptm/b/n/12 The graph-i-cal rep-re-sen-ta-tion of the area of a poly-gon: \T1/pcr/b/n/12 plotarea[]areaplot[] ( FP-DIV ) ( FP-DIV ) [701] ( FP-DIV ) ( FP-DIV>] ) [80 <./xcas-center.png ( FP-DIV ) ( FP-DIV ) [702] Overfull \hbox (2.81087pt too wide) in paragraph at lines 32284--32286 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 perimeter \T1/ptm/m/n/10.95 com-mand has \T1/pcr/m/n/10.95 perimeterat \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 perim eteratraw \T1/ptm/m/n/10.95 ver- [703] [704] [705]>] ( FP-DIV ) ( FP-DIV ) [81 <./xcas-vertices .png ( FP-DIV ) ( FP-DIV ) Overfull \hbox (34.02747pt too wide) in paragraph at lines 32475--32479 []\T1/ptm/m/n/10.95 If \T1/pcr/m/n/10.95 reflection \T1/ptm/m/n/10.95 has a sin -gle ar-gu-ment, that ar-gu-ment is a point or line. \T1/pcr/m/n/10.95 reflecti on [706] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) [707] [82 <./xcas-vertices2.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV [83 <./xcas-line.png ) [708] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [709] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [710] Overfull \hbox (6.165pt too wide) in paragraph at lines 32650--32654 \T1/ptm/m/n/10.95 two num-bers as above, and the fourth ar-gu-ment is a ge-o-me t-ric ob-ject. \T1/pcr/m/n/10.95 similarity ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) Overfull \hbox (22.0701pt too wide) in paragraph at lines 32672--32675 []\T1/ptm/m/n/10.95 Note that for a point \T1/pcr/m/n/10.95 A \T1/ptm/m/n/10.95 and num-bers \T1/pcr/m/n/10.95 k \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 a\T1/ ptm/m/n/10.95 , the com-mand \T1/pcr/m/n/10.95 similarity(A,k,a) [711] ( FP-DIV ) ( FP-DIV [84 <./xcas-halfline. png ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [712] ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) [85 <./xcas-segment.png ( FP-DIV ) ( FP-DIV ) [713] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [714]>] [86 <./xcas-segvec.png Overfull \hbox (12.8854pt too wide) in paragraph at lines 32834--32834 []\T1/ptm/b/n/12 Check if three points are collinear in the plane: \T1/pcr/b/n/ 12 is_collinear[] Overfull \hbox (10.13753pt too wide) in paragraph at lines 32866--32866 []\T1/ptm/b/n/12 Check if four points are con-cyclic in the plane: \T1/pcr/b/n/ 12 is_concyclic[] [715] Overfull \hbox (72.9569pt too wide) in paragraph at lines 32937--32937 []\T1/ptm/b/n/12 Check if an ob-ject is an equi-lat-eral tri-an-gle in the plan e: \T1/pcr/b/n/12 is_equilateral[] [716] Overfull \hbox (45.88486pt too wide) in paragraph at lines 32988--32988 []\T1/ptm/b/n/12 Check if an ob-ject in the plane is an isosce-les tri-an-gle: \T1/pcr/b/n/12 is_isosceles[] [717] Overfull \hbox (19.29272pt too wide) in paragraph at lines 33070--33072 \T1/ptm/m/n/10.95 See sec-tion [][][]13.13.11[][][][] for check-ing for right t ri-an-gles and rect-an-gles in three-dimensional [718] [719] Overfull \hbox (61.73753pt too wide) in paragraph at lines 33251--33251 []\T1/ptm/b/n/12 Check if an ob-ject in the plane is a par-al-lel-o-gram: \T1/p cr/b/n/12 is_parallelogram[] [720] Underfull \hbox (badness 10000) in paragraph at lines 33316--33319 Overfull \hbox (59.6732pt too wide) in paragraph at lines 33352--33352 []\T1/ptm/b/n/12 Check if two lines in the plane are per-pen-dic-u-lar: \T1/pcr /b/n/12 is_perpendicular[] [721] Overfull \hbox (30.62173pt too wide) in paragraph at lines 33384--33384 []\T1/ptm/b/n/12 Check if two cir-cles in the plane are or-thog-o-nal: \T1/pcr/ b/n/12 is_orthogonal[] [722] Overfull \hbox (41.86461pt too wide) in paragraph at lines 33485--33486 \T1/pcr/m/n/10.95 is_conjugate(point(1+i),point(3+i),point(i),point(3/2+i)) Overfull \hbox (94.42455pt too wide) in paragraph at lines 33495--33496 \T1/pcr/m/n/10.95 is_conjugate(line(0,1+i),line(2,3+i),line(3,4+i),line(3/2,5/ 2+i)) Overfull \hbox (9.80168pt too wide) in paragraph at lines 33504--33504 []\T1/ptm/b/n/12 Check if four points form a har-monic di-vi-sion: \T1/pcr/b/n/ 12 is_harmonic[] [723]>] Overfull \hbox (11.53027pt too wide) in paragraph at lines 33532--33532 []\T1/ptm/b/n/12 Check if lines are in a bun-dle: \T1/pcr/b/n/12 is_harmonic_li ne_bundle[] Overfull \hbox (113.03943pt too wide) in paragraph at lines 33547--33548 \T1/pcr/m/n/10.95 is_harmonic_line_bundle([line(0,1+i),line(0,2+i),line(0,3+i) ,line(0,1)]) Overfull \hbox (35.0262pt too wide) in paragraph at lines 33555--33555 []\T1/ptm/b/n/12 Check if cir-cles are in a bun-dle: \T1/pcr/b/n/12 is_harmonic _circle_bundle[] Overfull \hbox (73.61948pt too wide) in paragraph at lines 33570--33571 \T1/pcr/m/n/10.95 is_harmonic_circle_bundle([circle(0,i),circle(4,i),circle(0, 1/2)]) [724] [87 <./xcas-vect.png Overfull \hbox (69.37915pt too wide) in paragraph at lines 33580--33580 []\T1/ptm/b/n/12 Find a point di-vid-ing a seg-ment in the harminic ra-tio $\OM L/cmm/m/it/12 k$\T1/ptm/b/n/12 : \T1/pcr/b/n/12 division_point[] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 33580. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 33580. ( FP-DIV ) ( FP-DIV ) Overfull \hbox (8.16049pt too wide) in paragraph at lines 33637--33640 \T1/ptm/m/n/10.95 Four collinear points $\OML/cmm/m/it/10.95 A$\T1/ptm/m/n/10.9 5 ,$\OML/cmm/m/it/10.95 B$\T1/ptm/m/n/10.95 ,$\OML/cmm/m/it/10.95 C$ \T1/ptm/m/ n/10.95 and $\OML/cmm/m/it/10.95 D$ \T1/ptm/m/n/10.95 are in har-monic di-vi-si on if $[]\OML/cmm/m/it/10.95 =[] \OT1/cmr/m/n/10.95 = []\OML/cmm/m/it/10.95 =[] $\T1/ptm/m/n/10.95 . [725] Overfull \hbox (5.19618pt too wide) in paragraph at lines 33647--33649 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 harmonic_division \T1/ptm/m/n/10.95 c om-mand takes as ar-gu-ment three collinear points ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.76309pt too wide) in paragraph at lines 33684--33686 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 harmonic_conjugate \T1/ptm/m/n/10.95 co m-mand takes as ar-gu-ments three collinear points, [726] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [727][88 <./xcas-parallel.png ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.91956pt too wide) in paragraph at lines 33775--33776 \T1/pcr/m/n/10.95 reciprocation(circle(0,1),[point((1+i)/2),line(1,-1+i)]) ( FP-DIV ) ( FP-DIV ) [728] [729] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [730] ( FP-DIV>] ) ( FP-DIV [89 <./xcas-perp.png ) ( FP-DIV ) ( FP-DIV ) [731] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [732] [733] [734] Chapter 13. ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.01744pt too wide) in paragraph at lines 34043--34045 \T1/ptm/m/n/10.95 This screen also au-to-mat-i-cally ap-pears when-ever there i s a three-dimensional graphic Overfull \hbox (2.00844pt too wide) in paragraph at lines 34067--34071 []\T1/ptm/m/n/10.95 The graph-i-cal fea-tures avail-able for two-dimensional gr aph-ics (see sec-tion [][][]12.3[][][][]) [735] Overfull \hbox (26.85507pt too wide) in paragraph at lines 34102--34102 []\T1/ptm/b/n/12 Draw unit vec-tors: \T1/pcr/b/n/12 Ox_3d_unit_vector[] Oy_3d_u nit_vector[] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV [90 <./xcas-tangent1.png ) ( FP-DIV ) [736] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [737] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (19.86943pt too wide) in paragraph at lines 34188--34188 []\T1/ptm/b/n/12 Find an in-ter-sec-tion point of two ob-jects in space: \T1/pc r/b/n/12 single_inter[] Overfull \hbox (27.62953pt too wide) in paragraph at lines 34210--34210 \T1/pcr/m/n/10.95 single_inter(plane(point(0,1,1),point(1,0,1),point(1,1,0)), [738] Overfull \hbox (7.91956pt too wide) in paragraph at lines 34315--34315 \T1/pcr/m/n/10.95 LA:=inter(plane(point(0,1,1),point(1,0,1),point(1,1,0)), [739] Overfull \hbox (67.04948pt too wide) in paragraph at lines 34333--34334 \T1/pcr/m/n/10.95 LB:=inter(sphere(point(0,0,0),1),line(point(0,0,0),point(1,1 ,1))) Overfull \hbox (86.75946pt too wide) in paragraph at lines 34343--34344 \T1/pcr/m/n/10.95 [[1/sqrt(3),1/sqrt(3),1/sqrt(3)],[-1/sqrt(3),-1/sqrt(3),-1/s qrt(3)]] [740]>] [91 <./xcas-tangent2.png Overfull \hbox (22.79753pt too wide) in paragraph at lines 34397--34397 []\T1/ptm/b/n/12 Find the iso-barycen-ter of a set of points in space: \T1/pcr/ b/n/12 isobarycenter[] [741] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [742] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [743]>] ( FP-DIV [92 <./xcas-median.png ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [744] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [745] Overfull \hbox (22.15463pt too wide) in paragraph at lines 34621--34622 \T1/pcr/m/n/10.95 parallel(point(1,1,1),line(point(0,0,0),point(0,0,1))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [746] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV>] ) Overfull \hbox (114.13452pt too wide) in paragraph at lines 34646--34647 \T1/pcr/m/n/10.95 parallel(point(0,0,0),plane(point(1,0,0),point(0,1,0),point( 0,0,1))) ( FP-DIV [93 <./xcas-altitude.png ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.15463pt too wide) in paragraph at lines 34659--34659 \T1/pcr/m/n/10.95 parallel(point(1,1,1),line(point(0,0,0),point(0,0,1)), [747] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (55.0046pt too wide) in paragraph at lines 34682--34683 \T1/pcr/m/n/10.95 perpendicular(point(0,0,0),line(point(1,0,0),point(0,1,0))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [748] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (35.29462pt too wide) in paragraph at lines 34715--34716 \T1/pcr/m/n/10.95 orthogonal(point(0,0,0),line(point(1,0,0),point(0,1,0))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 5133) has occurred while \output is active [749] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (40.64159pt too wide) in paragraph at lines 34736--34736 []\T1/ptm/b/n/12 Common per-pen-dic-u-lars to lines in space: \T1/pcr/b/n/12 co mmon_perpendicular[] [750] ( FP-DIV [94 <./xcas-perpbisect.png ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [751] Overfull \hbox (5.38258pt too wide) in paragraph at lines 34800--34802 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 perpen_bisector \T1/ptm/m/n/10.95 com -mand takes as ar-gu-ment a seg-ment or two points. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [752] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [753] ( FP-DIV ) ( FP-MUL ) ( FP-DIV>] ) ( FP-DIV ) [95 <./xcas-bisector.png ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [754] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [755] Overfull \hbox (0.88669pt too wide) in paragraph at lines 34976--34985 \T1/pcr/m/n/10.95 right_triangle(A,B,P) \T1/ptm/m/n/10.95 re-turns and draws th e right tri-an-gle \T1/pcr/m/n/10.95 BAC \T1/ptm/m/n/10.95 with ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [756]>] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV [96 <./xcas-exbisector. png ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [757] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [758] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) >] [759] [97 <./xcas-triangle.png ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 2662) has occurred while \output is active [760] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [761] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) >] [762] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV [98 <./xcas-isotriangle.png ) Overfull \hbox (73.61948pt too wide) in paragraph at lines 35340--35341 \T1/pcr/m/n/10.95 quadrilateral(point(0,0,0),point(0,1,0),point(0,2,2),point(1 ,0,2)) ( FP-DIV ) ( FP-DIV ) [763] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [764] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV>] ) ( FP-DIV ) [765] [99 <./xcas-isot riangleC.png ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [766] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [767] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV>] [100 <./xcas-rttriangle.png ) Underfull \vbox (badness 3965) has occurred while \output is active [768] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [769] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [770] Overfull \hbox (20.08562pt 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[803] [804]>] [108 <./xcas-rhombusCD.png Overfull \hbox (7.91956pt too wide) in paragraph at lines 37847--37848 \T1/pcr/m/n/10.95 sphere([0,0,0],1,gl_material=[gl_texture,"picture.jpg"]) [805] Overfull \hbox (4.64848pt too wide) in paragraph at lines 37864--37866 []\T1/ptm/m/n/10.95 As an ex-am-ple, sup-pose the fol-low-ing im-age is stored in file \T1/pcr/m/n/10.95 image1234.jpg\T1/ptm/m/n/10.95 . ( FP-DIV ) ( FP-DIV ) Underfull \hbox (badness 10000) in paragraph at lines 37869--37870 ( FP-DIV ) ( FP-DIV ) [806] Overfull \hbox (53.9095pt too wide) in paragraph at lines 37910--37912 \T1/pcr/m/n/10.95 writergb("image1.png",[[4,2,2],[[255,0],[0,0]],[[0,255],[0,0 ]], ( FP-DIV ) ( FP-DIV ) [807] Overfull \hbox (139.3194pt too wide) in paragraph at lines 37944--37945 \T1/pcr/m/n/10.95 writergb("image2.png",[[255,250],[0,120]],[[0,255],[0,0]],[[ 0,0],[255,100]]) [808] Chapter 15. Overfull \hbox (14.48955pt too wide) in paragraph at lines 38010--38010 []\T1/pcr/m/n/10.95 // -*- compile-command: "g++ -g pgcd.cc -lgiac -lgmp" -*-[] [809] Overfull \hbox (1.91771pt too wide) in paragraph at lines 38055--38057 []\T1/ptm/m/n/10.95 If \T1/pcr/m/n/10.95 g._CPLXptr \T1/ptm/m/n/10.95 is a com- plex type \T1/pcr/m/n/10.95 complex\T1/ptm/m/n/10.95 , then \T1/pcr/m/n/10.95 g .type \T1/ptm/m/n/10.95 will be \T1/pcr/m/n/10.95 _CPLX\T1/ptm/m/n/10.95 . 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LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information) Output written on cascmd_en.dvi (812 pages, 3115932 bytes). Transcript written on cascmd_en.log. if /bin/grep -E -q -e '\\makeindex' cascmd_en.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo cascmd_en.dvi | sed -e s/\.dvi/\.idx/` ; \ fi >]This is makeindex, version 2.15 [TeX Live 2020] (kpathsea + Thai support). Scanning input file cascmd_en.idx..... [110 <./xcas-rectangle2.pngdone (1707 entries accepted, 3 rejected). Sorting entries..................done (21099 comparisons). Generating output file cascmd_en.ind.....done (1520 lines written, 0 warnings). Output written in cascmd_en.ind. Transcript written in cascmd_en.ilg. 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(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty) Writing index file cascmd_en.idx (./cutting.sty) [125 <./xcas-circle.p ng (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def) (./cascmd_en.aux) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty) (/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty)) (./cascmd_en.out) (./cascmd_en.out>] [126 <./xcas-circle2.png>] [127 <./xcas-circle3.png>]) [128 <./xcas-circle4 .png (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1pcr.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] (/usr/share/texlive/texmf-dist/tex/latex/psnfss/ts1ptm.fd) Underfull \hbox (badness 10000) in paragraph at lines 71--74 [2] (./cascmd_en.toc>] [129 <./xcas-circle5.png Overfull \hbox (12.65944pt too wide) in paragraph at lines 9--9 [][] [][][]\T1/ptm/m/n/10.95 Checking the ver-sion of \T1/pcr/m/n/10.95 giac \ T1/ptm/m/n/10.95 that you are us-ing: \T1/pcr/m/n/10.95 version, [3] Overfull \hbox (47.93pt too wide) in paragraph at lines 43--43 [][] [][][]\T1/ptm/m/n/10.95 The con-fig-u-ra-tion file: \T1/pcr/m/n/10.95 wid get_size cas_setup xcas_mode Overfull \hbox (37.74355pt too wide) in paragraph at lines 52--52 [][] [][][]\T1/ptm/m/n/10.95 Translating graph-i-cal out-put to L[]T[]X: \T1/p cr/m/n/10.95 graph2tex graph3d2tex[][][] [][] Overfull \hbox (9.38448pt too wide) in paragraph at lines 55--55 [][] [][][]\T1/ptm/m/n/10.95 Export to pre-sen-ta-tion or con-tent MathML : \T 1/pcr/m/n/10.95 export_mathml[][][] [][] Overfull \hbox (26.48943pt too wide) in paragraph at lines 78--78 [][] [][][]\T1/ptm/m/n/10.95 Assumptions on vari-ables: \T1/pcr/m/n/10.95 abou t additionally assume Overfull \hbox (37.29721pt too wide) in paragraph at lines 79--79 [][] [][][]\T1/ptm/m/n/10.95 Unassigning vari-ables: \T1/pcr/m/n/10.95 VARS pu rge DelVar del restart [4] Overfull \hbox (36.70589pt too wide) in paragraph at lines 86--86 [][] [][][]\T1/ptm/m/n/10.95 Internal di-rec-to-ries: \T1/pcr/m/n/10.95 NewFol d SetFold GetFold DelFold [5]>] [130 <./xcas-arc.png Overfull \hbox (11.72816pt too wide) in paragraph at lines 135--135 [][] [][][]\T1/ptm/m/n/10.95 The num-ber of pseudo-primes less than or equal t o \T1/pcr/m/n/10.95 n\T1/ptm/m/n/10.95 : \T1/pcr/m/n/10.95 nprimes[][][] [][] Overfull \hbox (0.25224pt too wide) in paragraph at lines 154--154 [][] [][][]\T1/ptm/m/n/10.95 Numerator of a frac-tion af-ter sim-pli-fi-ca-tio n : \T1/pcr/m/n/10.95 numergetNum[][][] [][] [6] Overfull \hbox (16.66649pt too wide) in paragraph at lines 186--186 [][] [][][]\T1/ptm/m/n/10.95 Decomposition as a prod-uct of dis-joint cy-cles : \T1/pcr/m/n/10.95 permu2cycles[][][] [][] Overfull \hbox (22.317pt too wide) in paragraph at lines 210--210 [][] [][][]\T1/ptm/m/n/10.95 Multiplication by the com-plex con-ju-gate : \T1/ pcr/m/n/10.95 mult_c_conjugate[][][] [][] [7]>] [131 <./xcas-arc2.png Overfull \hbox (7.52344pt too wide) in paragraph at lines 223--223 [][] [][][]\T1/ptm/m/n/10.95 Multiplication by the con-ju-gate quan-tity : \T1 /pcr/m/n/10.95 mult_conjugate[][][] [][] Overfull \hbox (17.22533pt too wide) in paragraph at lines 246--246 [][] [][][]\T1/ptm/m/n/10.95 Table of val-ues and graph of a re-cur-rent se-qu ence : \T1/pcr/m/n/10.95 tableseq [8] Overfull \hbox (2.60672pt too wide) in paragraph at lines 308--308 [][] [][][]\T1/ptm/m/n/10.95 Put to-gether sine and co-sine of the same an-gle : \T1/pcr/m/n/10.95 tcollect Overfull \hbox (3.461pt too wide) in paragraph at lines 317--317 [][] [][][]\T1/ptm/m/n/10.95 Transform com-plex ex-po-nen-tials into sin and c os : \T1/pcr/m/n/10.95 sincos [9]> ] [132 <./xcas-bigCircle.png Overfull \hbox (19.37183pt too wide) in paragraph at lines 324--324 \T1/ptm/m/n/10.95 hy-per-bolic func-tions as func-tion of exp(x): \T1/pcr/m/n/ 10.95 halftan_hyp2exp[][][] [][] Overfull \hbox (34.538pt too wide) in paragraph at lines 349--349 [][] [][][]\T1/ptm/m/n/10.95 Audio clip prop-er-ties : \T1/pcr/m/n/10.95 chann els\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 bit_depth\T1/ptm/m/n/10.95 , \T1/pcr/m /n/10.95 samplerate\T1/ptm/m/n/10.95 , [10] Overfull \hbox (7.77574pt too wide) in paragraph at lines 365--365 [][] [][][]\T1/ptm/m/n/10.95 Apply a mov-ing av-er-age fil-ter to a sig-nal : \T1/pcr/m/n/10.95 moving_average[][][] [][] Overfull \hbox (9.08983pt too wide) in paragraph at lines 367--367 [][] [][][]\T1/ptm/m/n/10.95 Bartlett-Hann win-dow func-tion : \T1/pcr/m/n/10. 95 bartlett_hann_window[][][] [][] Overfull \hbox (37.42827pt too wide) in paragraph at lines 368--368 [][] [][][]\T1/ptm/m/n/10.95 Blackman-Harris win-dow func-tion : \T1/pcr/m/n/1 0.95 blackman_harris_window[][][] [][] Overfull \hbox (3.7465pt too wide) in paragraph at lines 374--374 [][] [][][]\T1/ptm/m/n/10.95 Hann-Poisson win-dow func-tion : \T1/pcr/m/n/10.9 5 hann_poisson_window[][][] [][] [11]>] [133 <./xcas-incircle.png Overfull \hbox (1.80536pt too wide) in paragraph at lines 445--445 [][] [][][]\T1/ptm/m/n/10.95 Sturm se-quences and num-ber of sign changes of $ \OML/cmm/m/it/10.95 P$ \T1/ptm/m/n/10.95 on $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 a; b\OT1/cmr/m/n/10.95 ]$ [12] Overfull \hbox (21.29884pt too wide) in paragraph at lines 473--473 [][] [][][]\T1/ptm/m/n/10.95 Exact bounds for com-plex roots of a poly-no-mial : \T1/pcr/m/n/10.95 complexroot[][][] [][] Overfull \hbox (40.97552pt too wide) in paragraph at lines 476--476 [][] [][][]\T1/ptm/m/n/10.95 Exact bounds for pos-i-tive real roots of a poly- no-mial: \T1/pcr/m/n/10.95 VAS_positive[][][] [][] Overfull \hbox (16.19571pt too wide) in paragraph at lines 479--479 [][] [][][]\T1/ptm/m/n/10.95 Exact val-ues of ra-tio-nal roots of a poly-no-mi al : \T1/pcr/m/n/10.95 rationalroot[][][] [][] Overfull \hbox (6.61986pt too wide) in paragraph at lines 500--500 [][] [][][]\T1/ptm/m/n/10.95 Inverse of a ma-trix with co-ef-fi-cients in $\U/ msb/m/n/10.95 Z\OML/cmm/m/it/10.95 =p\U/msb/m/n/10.95 Z$ \T1/ptm/m/n/10.95 : \T 1/pcr/m/n/10.95 inv inverse[][][] [][] [13]>] [134 <./xcas-circumc ircle.png Overfull \hbox (11.91466pt too wide) in paragraph at lines 523--523 [][] [][][]\T1/ptm/m/n/10.95 Ranges of val-ues de-fined by their cen-ter : \T1 /pcr/m/n/10.95 center2interval[][][] [][] [14] Overfull \hbox (2.72713pt too wide) in paragraph at lines 583--583 [][] [][][]\T1/ptm/m/n/10.95 Number of el-e-ments smaller than a given value : \T1/pcr/m/n/10.95 count_inf[][][] [][] Overfull \hbox (0.88774pt too wide) in paragraph at lines 584--584 [][] [][][]\T1/ptm/m/n/10.95 Number of el-e-ments greater than a given value : \T1/pcr/m/n/10.95 count_sup[][][] [][] [15]>] [135 <./xcas-excircle.png Overfull \hbox (222.77876pt too wide) in paragraph at lines 609--609 [][] [][][]\T1/ptm/m/n/10.95 Statistics func-tions : \T1/pcr/m/n/10.95 mean,va riance,stddev, stddevp,median,quantile,quartiles,boxwhisker[][][] [][] Overfull \hbox (26.93784pt too wide) in paragraph at lines 615--615 [][] [][][]\T1/ptm/m/n/10.95 Diagonal of a ma-trix or ma-trix of a di-ag-o-nal : \T1/pcr/m/n/10.95 BlockDiagonal [16] Overfull \hbox (26.35904pt too wide) in paragraph at lines 646--646 [][] [][][]\T1/ptm/m/n/10.95 Add $\OML/cmm/m/it/10.95 k$ \T1/ptm/m/n/10.95 tim es a row to an an-other row : \T1/pcr/m/n/10.95 mRowAdd, scaleadd, Overfull \hbox (6.82379pt too wide) in paragraph at lines 648--648 [][] [][][]\T1/ptm/m/n/10.95 Exchange two columns : \T1/pcr/m/n/10.95 colSwap, colswap, swapcol[][][] [][] Overfull \hbox (10.19728pt too wide) in paragraph at lines 657--657 \T1/pcr/m/n/10.95 stddev\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 variance\T1/ptm/ m/n/10.95 , \T1/pcr/m/n/10.95 median\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 quant ile\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 quartiles\T1/ptm/m/n/10.95 , [17]>] [136 <./xcas-radaxis.png Overfull \hbox (11.68524pt too wide) in paragraph at lines 708--708 [][] [][][]\T1/ptm/m/n/10.95 The op-er-a-tor norm of a ma-trix: \T1/pcr/m/n/10 .95 matrix_norm, l1norm, Overfull \hbox (15.18993pt too wide) in paragraph at lines 712--712 [][] [][][]\T1/ptm/m/n/10.95 Eigenvectors : \T1/pcr/m/n/10.95 egv eigenvectors eigenvects eigVc[][][] [][] Overfull \hbox (76.58414pt too wide) in paragraph at lines 717--717 [][] [][][]\T1/ptm/m/n/10.95 Characteristic poly-no-mial us-ing Hes-sen-berg a l-go-rithm : \T1/pcr/m/n/10.95 pcar_hessenberg[][][] [][] Overfull \hbox (2.24606pt too wide) in paragraph at lines 742--742 [][] [][][]\T1/ptm/m/n/10.95 The con-ju-gate gra-di-ent al-go-rithm: \T1/pcr/m /n/10.95 conjugate_gradient[][][] [][] [18] Overfull \hbox (14.93695pt too wide) in paragraph at lines 776--776 [][] [][][]\T1/ptm/m/n/10.95 Solving dif-fer-en-tial equa-tions : \T1/pcr/m/n/ 10.95 desolve deSolve dsolve[][][] [][] Overfull \hbox (10.44688pt too wide) in paragraph at lines 777--777 [][] [][][]\T1/ptm/m/n/10.95 Laplace trans-form and in-verse Laplace trans-for m : \T1/pcr/m/n/10.95 laplace [19] Overfull \hbox (93.6232pt too wide) in paragraph at lines 794--794 [][] [][][]\T1/ptm/m/n/10.95 Computing the cur-va-ture and re-lated val-ues: \ T1/pcr/m/n/10.95 curvature, osculating_circle, Overfull \hbox (1.0971pt too wide) in paragraph at lines 801--801 [][] [][][]\T1/ptm/m/n/10.95 Graph of a func-tion : \T1/pcr/m/n/10.95 plotfunc funcplot DrawFunc Graph[][][] [][] Overfull \hbox (58.8789pt too wide) in paragraph at lines 816--816 [][] [][][]\T1/ptm/m/n/10.95 Graph of in-equal-i-ties with 2 vari-ables : \T1/ pcr/m/n/10.95 plotinequation inequationplot[][][] [][] Overfull \hbox (23.28116pt too wide) in paragraph at lines 820--820 [][] [][][]\T1/ptm/m/n/10.95 2-d graph of a 2-d func-tion with col-ors : \T1/p cr/m/n/10.95 plotdensity densityplot[][][] [][] Overfull \hbox (24.23358pt too wide) in paragraph at lines 824--824 [][] [][][]\T1/ptm/m/n/10.95 Parametric curves and sur-faces : \T1/pcr/m/n/10. 95 plotparam paramplot DrawParm[][][] [][] Overfull \hbox (21.6381pt too wide) in paragraph at lines 826--826 [][] [][][]\T1/ptm/m/n/10.95 3D para-met-ric sur-face : \T1/pcr/m/n/10.95 plot param paramplot DrawParm[][][] [][] Overfull \hbox (20.05103pt too wide) in paragraph at lines 829--829 [][] [][][]\T1/ptm/m/n/10.95 Graph of a re-cur-rent se-quence : \T1/pcr/m/n/10 .95 plotseq seqplot graphe_suite[][][] [][] Overfull \hbox (86.31862pt too wide) in paragraph at lines 832--832 [][] [][][]\T1/ptm/m/n/10.95 Interactive plot-ting of so-lu-tions of a dif-fer -en-tial equa-tion : \T1/pcr/m/n/10.95 interactive_plotode [20]>] [137 <./xcas -ellipse.png Overfull \hbox (107.82607pt too wide) in paragraph at lines 850--850 [][] [][][]\T1/ptm/m/n/10.95 Cumulative fre-quen-cies: \T1/pcr/m/n/10.95 cumul ated_frequencies frequences_cumulees[][][] [][] Overfull \hbox (7.56804pt too wide) in paragraph at lines 854--854 [][] [][][]\T1/ptm/m/n/10.95 Covariance and cor-re-la-tion: \T1/pcr/m/n/10.95 covariance correlation Overfull \hbox (73.54204pt too wide) in paragraph at lines 857--857 [][] [][][]\T1/ptm/m/n/10.95 Linear re-gres-sion: \T1/pcr/m/n/10.95 linear_reg ression linear_regression_plot[][][] [][] Overfull \hbox (59.52612pt too wide) in paragraph at lines 860--860 [][] [][][]\T1/ptm/m/n/10.95 Power re-gres-sion: \T1/pcr/m/n/10.95 power_regre ssion power_regression_plot[][][] [][] Overfull \hbox (148.02357pt too wide) in paragraph at lines 861--861 [][] [][][]\T1/ptm/m/n/10.95 Polynomial re-gres-sion: \T1/pcr/m/n/10.95 polyno mial_regression polynomial_regression_plot[][][] [][] Overfull \hbox (107.13638pt too wide) in paragraph at lines 862--862 [][] [][][]\T1/ptm/m/n/10.95 Logistic re-gres-sion: \T1/pcr/m/n/10.95 logistic _regression logistic_regression_plot[][][] [][] Overfull \hbox (16.18495pt too wide) in paragraph at lines 865--865 [][] [][][]\T1/ptm/m/n/10.95 Initializing the ran-dom num-ber gen-er-a-tor: \T 1/pcr/m/n/10.95 srand randseed Overfull \hbox (37.53712pt too wide) in paragraph at lines 869--869 [][] [][][]\T1/ptm/m/n/10.95 Producing ran-dom num-bers with a nor-mal dis-tri -bu-tion: \T1/pcr/m/n/10.95 randnorm [21] Overfull \hbox (1.58925pt too wide) in paragraph at lines 871--871 [][] [][][]\T1/ptm/m/n/10.95 Producing ran-dom ma-tri-ces: \T1/pcr/m/n/10.95 r andmatrix ranm randMat[][][] [][] [22] Overfull \hbox (2.9243pt too wide) in paragraph at lines 966--966 [][] [][][]\T1/ptm/m/n/10.95 Approximate com-pu-ta-tion of the deriva-tive num -ber : \T1/pcr/m/n/10.95 nDeriv[][][] [][] Overfull \hbox (6.59406pt too wide) in paragraph at lines 979--979 [][] [][][]\T1/pcr/m/n/10.95 fsolve \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 nSo lve \T1/ptm/m/n/10.95 with the op-tion \T1/pcr/m/n/10.95 steffenson_solver[][][ ] [][] Overfull \hbox (49.72504pt too wide) in paragraph at lines 996--996 [][] [][][]\T1/ptm/m/n/10.95 Convert be-tween Cel-sius and Fahren-heit: \T1/pc r/m/n/10.95 Celsius2Fahrenheit, Overfull \hbox (17.2594pt too wide) in paragraph at lines 1006--1006 [][] [][][]\T1/ptm/m/n/10.95 Functions: \T1/pcr/m/n/10.95 function, endfunctio n, { }, local, [23]>] [138 <./xcas-ellipse2.png Overfull \hbox (3.39691pt too wide) in paragraph at lines 1026--1026 [][] [][][]\T1/ptm/m/n/10.95 The for loop: \T1/pcr/m/n/10.95 for, from, to, st ep, do, end_for[][][] [][] Overfull \hbox (27.08214pt too wide) in paragraph at lines 1048--1048 \T1/pcr/m/n/10.95 cont, kill, break, breakpoint, halt, rmbrk, [24] Overfull \hbox (4.34854pt too wide) in paragraph at lines 1083--1083 [][] [][][]\T1/ptm/m/n/10.95 Points in po-lar co-or-di-nates: \T1/pcr/m/n/10.9 5 polar_point\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 point_polar[][][] [][] Overfull \hbox (5.02676pt too wide) in paragraph at lines 1086--1086 [][] [][][]\T1/ptm/m/n/10.95 Find the or-tho-cen-ter of a tri-an-gle in the pl ane: \T1/pcr/m/n/10.95 orthocenter[][][] [][] Overfull \hbox (3.80327pt too wide) in paragraph at lines 1089--1089 [][] [][][]\T1/ptm/m/n/10.95 The iso-barycen-ter of $\OML/cmm/m/it/10.95 n$ \T 1/ptm/m/n/10.95 points in the plane: \T1/pcr/m/n/10.95 isobarycenter[][][] [][] Overfull \hbox (37.05617pt too wide) in paragraph at lines 1091--1091 [][] [][][]\T1/ptm/m/n/10.95 The ver-tices of a poly-gon in the plane: \T1/pcr /m/n/10.95 vertices\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 vertices_abc[][][] [][ ] Overfull \hbox (19.04308pt too wide) in paragraph at lines 1092--1092 [][] [][][]\T1/ptm/m/n/10.95 The ver-tices of a poly-gon in the plane, closed: \T1/pcr/m/n/10.95 vertices_abca[][][] [][] Overfull \hbox (62.75491pt too wide) in paragraph at lines 1104--1104 [][] [][][]\T1/ptm/m/n/10.95 The per-pen-dic-u-lar bi-sec-tor of a seg-ment in the plane: \T1/pcr/m/n/10.95 perpen_bisector[][][] [][] [25] Overfull \hbox (10.83041pt too wide) in paragraph at lines 1111--1111 [][] [][][]\T1/ptm/m/n/10.95 Equilateral tri-an-gles in the plane: \T1/pcr/m/n /10.95 equilateral_triangle[][][] [][] Overfull \hbox (54.49922pt too wide) in paragraph at lines 1142--1142 [][] [][][]\T1/ptm/m/n/10.95 The rect-an-gu-lar co-or-di-nates of a point: \T1 /pcr/m/n/10.95 rectangular_coordinates[][][] [][] Overfull \hbox (15.07962pt too wide) in paragraph at lines 1147--1147 [][] [][][]\T1/ptm/m/n/10.95 Measurement and dis-play: \T1/pcr/m/n/10.95 dista nceat distanceatraw Overfull \hbox (35.40416pt too wide) in paragraph at lines 1147--1147 \T1/pcr/m/n/10.95 angleat angleatraw areaat areaatraw perimeterat Overfull \hbox (42.08363pt too wide) in paragraph at lines 1147--1147 \T1/pcr/m/n/10.95 perimeteratraw slopeat slopeatraw extract_measure[][][] [][] [26] Overfull \hbox (71.90924pt too wide) in paragraph at lines 1151--1151 [][] [][][]\T1/ptm/m/n/10.95 The graph-i-cal rep-re-sen-ta-tion of the area of a poly-gon: \T1/pcr/m/n/10.95 plotareaareaplot[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1156 \T1/ptm/m/n/10.95 12.14.10 Overfull \hbox (3.28497pt too wide) detected at line 1157 \T1/ptm/m/n/10.95 12.14.11 Overfull \hbox (3.28497pt too wide) detected at line 1158 \T1/ptm/m/n/10.95 12.14.12 Overfull \hbox (15.8451pt too wide) in paragraph at lines 1170--1170 [][] [][][]\T1/ptm/m/n/10.95 Check if three points are collinear in the plane: \T1/pcr/m/n/10.95 is_collinear[][][] [][] Overfull \hbox (15.68121pt too wide) in paragraph at lines 1171--1171 [][] [][][]\T1/ptm/m/n/10.95 Check if four points are con-cyclic in the plane: \T1/pcr/m/n/10.95 is_concyclic[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1178 \T1/ptm/m/n/10.95 12.16.10 Overfull \hbox (53.93997pt too wide) in paragraph at lines 1178--1178 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in the plane is a par-al-lel- o-gram: \T1/pcr/m/n/10.95 is_parallelogram[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1179 \T1/ptm/m/n/10.95 12.16.11 Overfull \hbox (3.28497pt too wide) detected at line 1180 \T1/ptm/m/n/10.95 12.16.12 Overfull \hbox (52.35243pt too wide) in paragraph at lines 1180--1180 [][] [][][]\T1/ptm/m/n/10.95 Check if two lines in the plane are per-pen-dic-u -lar: \T1/pcr/m/n/10.95 is_perpendicular[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1181 \T1/ptm/m/n/10.95 12.16.13 Overfull \hbox (27.78073pt too wide) in paragraph at lines 1181--1181 [][] [][][]\T1/ptm/m/n/10.95 Check if two cir-cles in the plane are or-thog-o- nal: \T1/pcr/m/n/10.95 is_orthogonal[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1182 \T1/ptm/m/n/10.95 12.16.14 Overfull \hbox (3.28497pt too wide) detected at line 1183 \T1/ptm/m/n/10.95 12.16.15 Overfull \hbox (8.77176pt too wide) in paragraph at lines 1183--1183 [][] [][][]\T1/ptm/m/n/10.95 Check if four points form a har-monic di-vi-sion: \T1/pcr/m/n/10.95 is_harmonic[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1184 \T1/ptm/m/n/10.95 12.16.16 Overfull \hbox (15.0139pt too wide) in paragraph at lines 1184--1184 [][] [][][]\T1/ptm/m/n/10.95 Check if lines are in a bun-dle: \T1/pcr/m/n/10.9 5 is_harmonic_line_bundle[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1185 \T1/ptm/m/n/10.95 12.16.17 Overfull \hbox (36.04865pt too wide) in paragraph at lines 1185--1185 [][] [][][]\T1/ptm/m/n/10.95 Check if cir-cles are in a bun-dle: \T1/pcr/m/n/1 0.95 is_harmonic_circle_bundle[][][] [][] [27]>] [139 <./xcas-ellipse3.png Overfull \hbox (52.95624pt too wide) in paragraph at lines 1203--1203 [][] [][][]\T1/ptm/m/n/10.95 Draw unit vec-tors: \T1/pcr/m/n/10.95 Ox_3d_unit_ vector Oy_3d_unit_vector Overfull \hbox (39.48607pt too wide) in paragraph at lines 1207--1207 [][] [][][]\T1/ptm/m/n/10.95 Find an in-ter-sec-tion point of two ob-jects in space: \T1/pcr/m/n/10.95 single_inter Overfull \hbox (31.19699pt too wide) in paragraph at lines 1210--1210 [][] [][][]\T1/ptm/m/n/10.95 Find the iso-barycen-ter of a set of points in sp ace: \T1/pcr/m/n/10.95 isobarycenter[][][] [][] Overfull \hbox (48.80487pt too wide) in paragraph at lines 1220--1220 [][] [][][]\T1/ptm/m/n/10.95 Common per-pen-dic-u-lars to lines in space: \T1/ pcr/m/n/10.95 common_perpendicular[][][] [][] [28] Overfull \hbox (23.18192pt too wide) in paragraph at lines 1250--1250 [][] [][][]\T1/ptm/m/n/10.95 The co-or-di-nates of a point, vec-tor or line in space: \T1/pcr/m/n/10.95 coordinates[][][] [][] Overfull \hbox (6.61444pt too wide) in paragraph at lines 1257--1257 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is on an-other ob-je ct: \T1/pcr/m/n/10.95 is_element[][][] [][] Overfull \hbox (22.65596pt too wide) in paragraph at lines 1258--1258 [][] [][][]\T1/ptm/m/n/10.95 Check if points and/or lines in space are copla-n ar: \T1/pcr/m/n/10.95 is_coplanar[][][] [][] Overfull \hbox (18.99843pt too wide) in paragraph at lines 1259--1259 [][] [][][]\T1/ptm/m/n/10.95 Check if lines and/or planes in space are par-al- lel: \T1/pcr/m/n/10.95 is_parallel[][][] [][] Overfull \hbox (0.98605pt too wide) in paragraph at lines 1262--1262 [][] [][][]\T1/ptm/m/n/10.95 Check if three points in space are collinear: \T1 /pcr/m/n/10.95 is_collinear[][][] [][] Overfull \hbox (19.77638pt too wide) in paragraph at lines 1264--1264 [][] [][][]\T1/ptm/m/n/10.95 Check if five points in space are co-spher-i-cal: \T1/pcr/m/n/10.95 is_cospherical[][][] [][] Overfull \hbox (52.35187pt too wide) in paragraph at lines 1265--1265 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is an equi-lat-eral tri-an-gle: \T1/pcr/m/n/10.95 is_equilateral[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1266 \T1/ptm/m/n/10.95 13.13.10 Overfull \hbox (31.91917pt too wide) in paragraph at lines 1266--1266 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is an isosce-les tri -an-gle: \T1/pcr/m/n/10.95 is_isosceles[][][] [][] Overfull \hbox (3.28497pt too wide) detected at line 1267 \T1/ptm/m/n/10.95 13.13.11 Overfull \hbox (3.28497pt too wide) detected at line 1268 \T1/ptm/m/n/10.95 13.13.12 Overfull \hbox (3.28497pt too wide) detected at line 1269 \T1/ptm/m/n/10.95 13.13.13 Overfull \hbox (3.28497pt too wide) detected at line 1270 \T1/ptm/m/n/10.95 13.13.14 Overfull \hbox (39.08093pt too wide) in paragraph at lines 1270--1270 [][] [][][]\T1/ptm/m/n/10.95 Check if an ob-ject in space is a par-al-lel-o-gr am: \T1/pcr/m/n/10.95 is_parallelogram[][][] [][] [29]) [30] Chapter 1. (./cascmd_en.ind [31]>] [140 <./ xcas-hyperbola1.png [32]>] [141 [33 <./xcas-hyperbola2.png] [34]>] [142 <./xcas-hyperbola3.png [35]>] [143 <./xcas-parabola1.png [36] [37]>] [144 <./xcas-parabola2.png [38] [39]>] [40] [145 <./xcas-parab ola3.png>] [146 <./xcas-parabola4.png [41] [42]>] [147 <./xcas-areaat.png>] [148 <./xcas- areaatraw.png [43]>] [149 <./xcas-arealegend.png [44]>] [150 <./xcas-anglea.png [45]>] [46]) [151 <./xcas-angleblank.png Chapter 2. [47] Overfull \hbox (27.46349pt too wide) in paragraph at lines 183--187 []\T1/ptm/m/n/10.95 If you are run-ning Mac OS, you can use the Finder to go to the \T1/pcr/m/n/10.95 xcas_image.dmg [48] Overfull \hbox (282.10446pt too wide) in paragraph at lines 254--260 []\T1/ptm/m/n/10.95 To run \T1/pcr/m/n/10.95 giac \T1/ptm/m/n/10.95 through Fir e-fox, you can open the url [][][]$\T1/pcr/m/n/10.95 https : / / www-[]fourier . ujf-[]grenoble . fr / ~parisse / giac / xcasen . html$[][][][]\T1/ptm/m/n/10. 95 . Overfull \hbox (0.75586pt too wide) in paragraph at lines 263--267 \T1/ptm/m/n/10.95 TeXmacs ([][][]$\T1/pcr/m/n/10.95 http : / / www . texmacs . org$[][][][]\T1/ptm/m/n/10.95 ) is a so-phis-ti-cated word pro-ces-sor with [49] Overfull \hbox (13.79454pt too wide) in paragraph at lines 275--280 \T1/ptm/m/n/10.95 text. To en-ter nor-mal text within a \T1/pcr/m/n/10.95 giac \T1/ptm/m/n/10.95 ses-sion, use the menu item \T1/pcr/m/n/10.95 Focus$\U/msa/m/ n/10.95 I$\T1/pcr/m/n/10.95 Insert [50] Chapter 3. [51] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.2471pt too wide) in paragraph at lines 404--410 []\T1/ptm/m/n/10.95 The first but-ton, [], will open the help in-dex. (The same as the \T1/pcr/m/n/10.95 Help$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Index [52] Overfull \hbox (1.69905pt too wide) in paragraph at lines 419--427 []\T1/ptm/m/n/10.95 , is a sta-tus line ( FP-DIV ) ( FP-DIV ) [53] LaTeX Warning: Reference `ssec:CST' on page 54 undefined on input line 496. [54] [55] Overfull \hbox (99.91336pt too wide) in paragraph at lines 636--641 \T1/ptm/m/n/10.95 ing the server at [][][]$\T1/pcr/m/n/10.95 http : / / www-[]f ourier . ujf-[]grenoble . fr / ~parisse / xcasen . html$[][][][] [56] [57] Overfull \hbox (17.21321pt too wide) in paragraph at lines 769--773 \T1/ptm/m/n/10.95 This will open a win-dow that you can use to con-fig-ure var- i-ous non-computational [58] [59] [60]>] [61] [152 <./xcas-anglebigA.png [62] Overfull \hbox (2.24474pt too wide) in paragraph at lines 1146--1148 \T1/ptm/m/n/10.95 When fac-tor-ing poly-no-mi-als, \T1/pcr/m/n/10.95 Xcas \T1/p tm/m/n/10.95 won't in-tro-duce com-plex num-bers if they aren't [63] Overfull \hbox (55.70105pt too wide) in paragraph at lines 1226--1230 \T1/ptm/m/n/10.95 You can con-fig-ure how \T1/pcr/m/n/10.95 Xcas \T1/ptm/m/n/10 .95 com-putes by us-ing the menu item \T1/pcr/m/n/10.95 Cfg$\U/msa/m/n/10.95 I$ \T1/pcr/m/n/10.95 Cas configuration [64] Overfull \hbox (5.18015pt too wide) in paragraph at lines 1265--1269 \T1/ptm/m/n/10.95 num-ber be-tween 1 and 10 times a power of ten; for ex-am-ple , \T1/pcr/m/n/10.95 15000.12 [65] Overfull \hbox (11.0607pt too wide) in paragraph at lines 1333--1340 \T1/ptm/m/n/10.95 checked, then the so-lu-tions of \T1/pcr/m/n/10.95 cos(x)=0 \ T1/ptm/m/n/10.95 will be \T1/pcr/m/n/10.95 [(2*n_0*pi + pi)/2]\T1/ptm/m/n/10.95 , [66] Overfull \hbox (3.78696pt too wide) in paragraph at lines 1357--1364 \T1/ptm/m/n/10.95 graph-i-cal con-fig-u-ra-tion us-ing the the menu item \T1/pc r/m/n/10.95 Cfg$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Graph configuration\T1/ptm /m/n/10.95 . [67] Overfull \hbox (21.13075pt too wide) in paragraph at lines 1464--1464 []\T1/ptm/b/n/12 The con-fig-u-ra-tion file: \T1/pcr/b/n/12 widget_size cas_set up xcas_mode [68] [69] Overfull \hbox (4.51189pt too wide) in paragraph at lines 1531--1533 []\T1/pcr/m/n/10.95 increasing_power\T1/ptm/m/n/10.95 . This is 0 to dis-play p oly-no-mi-als in in-creas-ing power, [70] Overfull \hbox (43.94365pt too wide) in paragraph at lines 1628--1637 []\T1/ptm/m/n/10.95 If you pre-fer to save the printed form as a file, you can use the \T1/pcr/m/n/10.95 File$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Print$\U/ms a/m/n/10.95 I$\T1/pcr/m/n/10.95 preview [71] Overfull \hbox (24.30562pt too wide) in paragraph at lines 1663--1663 []\T1/ptm/b/n/12 Translating graph-i-cal out-put to L[]T[]X: \T1/pcr/b/n/12 gra ph2tex graph3d2tex Overfull \hbox (67.04948pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 [] Overfull \hbox (40.76952pt too wide) in paragraph at lines 1719--1719 []\T1/pcr/m/n/10.95 12[] [73]>] [74] [153 <./xcas-plotare a1.png Overfull \hbox (60.47949pt too wide) in paragraph at lines 1836--1836 []\T1/pcr/m/n/10.95 [] Overfull \hbox (24.34128pt too wide) in paragraph at lines 1840--1842 \T1/ptm/m/n/10.95 You can trans-late a file of Maple com-mands to the Xcas lan- guage with the \T1/pcr/m/n/10.95 maple2xcas [75] [76] Chapter 4. Overfull \hbox (3.61932pt too wide) in paragraph at lines 1899--1903 []\T1/ptm/m/n/10.95 To add a com-ment to a pro-gram, rather than a ses-sion, yo u can use the \T1/pcr/m/n/10.95 comment[] [77] [78] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [79] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [80] [81] Overfull \hbox (6.98224pt too wide) in paragraph at lines 2165--2168 \T1/ptm/m/n/10.95 The con-fig-u-ra-tion screen can be re-opened with the \T1/pc r/m/n/10.95 Edit$\U/msa/m/n/10.95 I$\T1/pcr/m/n/10.95 Configuration$\U/msa/m/n/ 10.95 I$\T1/pcr/m/n/10.95 Cfg ( FP-DIV>] ) ( FP-DIV [154 <./xcas-plotarea2.png ) [82] [83] [84] [85] Overfull \hbox (43.6654pt too wide) in paragraph at lines 2419--2419 []\T1/ptm/b/n/12 Storing and re-call-ing vari-ables and their val-ues: \T1/pcr/ b/n/12 archive unarchive [86] [87] [88] Overfull \hbox (9.67053pt too wide) in paragraph at lines 2620--2620 []\T1/ptm/b/n/12 Unassigning vari-ables: \T1/pcr/b/n/12 VARS purge DelVar del r estart [89] Overfull \hbox (44.97061pt too wide) in paragraph at lines 2670--2674 \T1/ptm/m/n/10.95 vari-ables with sin-gle low-er-case let-ter names. If you hav e vari-ables names \T1/pcr/m/n/10.95 A,B,a,b,myvar\T1/ptm/m/n/10.95 , [90] [91] [92] Overfull \hbox (5.08661pt too wide) in paragraph at lines 2881--2881 []\T1/ptm/b/n/12 Internal di-rec-to-ries: \T1/pcr/b/n/12 NewFold SetFold GetFol d DelFold [93] [94] Chapter 5. Overfull \hbox (68.94576pt too wide) in paragraph at lines 2915--2915 []\T1/ptm/b/n/14.4 Symbolic con-stants : \T1/pcr/m/n/14.4 e pi infinity inf i e uler_gamma Overfull \hbox (99.73698pt too wide) in paragraph at lines 2920--2928 \T1/pcr/m/n/10.95 euler_gamma \T1/ptm/m/n/10.95 is Eu-ler's con-stant $\OML/cmm /m/it/10.95 ^^M$\T1/ptm/m/n/10.95 ; namely, \T1/pcr/m/n/10.95 limit(sum(1/k,k,1 ,n)-ln(n),n,+infinity) Overfull \hbox (0.75572pt too wide) in paragraph at lines 2939--2955 \T1/ptm/m/n/10.95 To write an al-ge-braic func-tion hav-ing the same re-sult as an \T1/pcr/m/n/10.95 if...then...else\T1/ptm/m/n/10.95 , Overfull \hbox (32.13776pt too wide) in paragraph at lines 2956--2959 \T1/ptm/m/n/10.95 defines the boolean func-tion $\OML/cmm/m/it/10.95 f$ \T1/ptm /m/n/10.95 such that \T1/pcr/m/n/10.95 f(x)= true \T1/ptm/m/n/10.95 if $\OML/cm m/m/it/10.95 x \OMS/cmsy/m/n/10.95 2 \OT1/cmr/m/n/10.95 (0; +\OMS/cmsy/m/n/10.9 5 1\OT1/cmr/m/n/10.95 [$ \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 f(x)=false [95] Underfull \hbox (badness 10000) in paragraph at lines 2962--2965 Overfull \hbox (11.70648pt too wide) in paragraph at lines 3000--3005 \T1/pcr/m/n/10.95 exp2list \T1/ptm/m/n/10.95 re-turns the list \T1/pcr/m/n/10.9 5 [expr0,expr1] \T1/ptm/m/n/10.95 when the ar-gu-ment is \T1/pcr/m/n/10.95 (var =expr0) [96] Overfull \hbox (18.61649pt too wide) in paragraph at lines 3018--3025 \T1/pcr/m/n/10.95 list2exp \T1/ptm/m/n/10.95 re-turns the boolean ex-pres-sion \T1/pcr/m/n/10.95 ((var = val1) or (var = val2) [97]>] Underfull \hbox (badness 10000) in paragraph at lines 3090--3095 [98] [155 <./xcas-plotarea3.png Underfull \hbox (badness 10000) in paragraph at lines 3103--3108 Underfull \hbox (badness 10000) in paragraph at lines 3138--3146 [99] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\char' on input line 3166. [100] Underfull \hbox (badness 10000) in paragraph at lines 3211--3214 [101] [102] [103] [104] [105] [106]>] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3418. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3418. Overfull \hbox (19.50386pt too wide) in paragraph at lines 3434--3438 \T1/ptm/m/n/10.95 To check the an-swer, in-put \T1/pcr/m/n/10.95 expr("0173") \ T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 horner(revlist([3,7,1]),8) [107 [156] <./xcas -translation1.png Overfull \hbox (1.34956pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 9332621544394415268169923885626670049071596826438162[] Overfull \hbox (1.34956pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 1468592963895217599993229915608941463976156518286253[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 3472--3472 [] \T1/pcr/m/n/10.95 697920827223758251185210916864000000000000000000000000[] [108] Underfull \hbox (badness 10000) in paragraph at lines 3498--3501 Underfull \hbox (badness 10000) in paragraph at lines 3502--3503 Underfull \hbox (badness 10000) in paragraph at lines 3516--3517 [109] [110] [111] Overfull \hbox (10.78601pt too wide) in paragraph at lines 3648--3648 []\T1/ptm/b/n/12 The in-te-ger Eu-clidean re-main-der : \T1/pcr/m/n/12 irem rem ain smod mods [112] Overfull \hbox (14.48955pt too wide) in paragraph at lines 3663--3663 \T1/pcr/m/n/10.95 111615339728229933018338917803008301992120942047239639312 [113] [114] [115] [116]>] Overfull \hbox (1.34956pt too wide) in paragraph at lines 3829--3829 \T1/pcr/m/n/10.95 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71 Overfull \hbox (4.14935pt too wide) in paragraph at lines 3831--3831 []\T1/ptm/b/n/12 The num-ber of pseudo-primes less than or equal to \T1/pcr/m/n /12 n\T1/ptm/b/n/12 : \T1/pcr/m/n/12 nprimes [117] [157 <./xcas-translation2.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3858. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3858. Overfull \hbox (51.90477pt too wide) in paragraph at lines 3868--3871 \T1/pcr/m/n/10.95 ichinrem([a,p],[b,q]) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 ichrem([a,p],[b,q]) \T1/ptm/m/n/10.95 re-turns a list \T1/pcr/m/n/10.95 [c,lcm( p,q)] [118] Underfull \hbox (badness 10000) in paragraph at lines 3907--3909 Overfull \hbox (1.5333pt too wide) in paragraph at lines 3913--3917 \T1/pcr/m/n/10.95 ichrem \T1/ptm/m/n/10.95 (or\T1/pcr/m/n/10.95 ichinrem\T1/ptm /m/n/10.95 )may be used to find the co-ef-fi-cients of a poly-no-mial whose [119] Overfull \hbox (1.03072pt too wide) in paragraph at lines 3931--3943 \T1/ptm/m/n/10.95 For ex-am-ple, \T1/pcr/m/n/10.95 chrem([a,b,c],[p,q,r]) \T1/p tm/m/n/10.95 re-turns the list \T1/pcr/m/n/10.95 [x,lcm(p,q,r)] [120] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3975. Underfull \hbox (badness 10000) in paragraph at lines 4002--4004 [121] [122] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4064. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4064. [123] [124] Overfull \hbox (73.61948pt too wide) in paragraph at lines 4179--4180 \T1/pcr/m/n/10.95 wz_certificate((-1)^^Bk*comb(n,k)*comb(2k,k)*4^^B(n-k),comb( 2n,n),n,k) [125] Overfull \hbox (79.08981pt too wide) in paragraph at lines 4197--4197 []\T1/ptm/b/n/12 Transform a float-ing point num-ber into a ra-tio-nal : \T1/pc r/m/n/12 exact float2rational Overfull \hbox (0.65764pt too wide) in paragraph at lines 4198--4205 \T1/ptm/m/n/10.95 re-turns a ra-tio-nal num-ber \T1/pcr/m/n/10.95 q \T1/ptm/m/n /10.95 close to \T1/pcr/m/n/10.95 d \T1/ptm/m/n/10.95 such that \T1/pcr/m/n/10. 95 abs(d-q)] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4433. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4433. Overfull \hbox (2.31212pt too wide) in paragraph at lines 4460--4463 \T1/ptm/m/n/10.95 For ex-am-ple, af-ter call-ing \T1/pcr/m/n/10.95 pari()\T1/pt m/m/n/10.95 , \T1/pcr/m/n/10.95 pari_weber(1+i) \T1/ptm/m/n/10.95 or \T1/pcr/m/ n/10.95 weber(1+i) [132] [133] [134] [135] [158 <./xcas-reflection1.pn g Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4594. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4594. [136] [137] [138] [139] [140] Underfull \hbox (badness 10000) in paragraph at lines 4858--4860 [141] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4893. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\Gamma' on input line 4893. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4893. Overfull \hbox (20.08481pt too wide) in paragraph at lines 4923--4924 \T1/ptm/m/n/10.95 Indeed \T1/pcr/m/n/10.95 Gamma(0.7)=-0.3*Gamma(-0.3)=(-0.3)*( -1.3)*Gamma(-1.3) Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4926. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\gamma' on input line 4926. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4926. [142] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4955. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\gamma' on input line 4955. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4955. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4998. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\beta' on input line 4998. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4998. [143] [144] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 5046. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\zeta' on input line 5046. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 5046. Underfull \hbox (badness 10000) in paragraph at lines 5070--5072 [145]>] [146] [159 <./xcas-reflection2.png Overfull \hbox (3.4897pt too wide) in paragraph at lines 5166--5166 []\T1/ptm/b/n/12 Decomposition as a prod-uct of dis-joint cy-cles : \T1/pcr/m/n /12 permu2cycles [147] [148] [149] [150] [151] [152]>] [160 <./xcas-reflection3.png [153] Overfull \hbox (10.61789pt too wide) in paragraph at lines 5432--5432 []\T1/ptm/b/n/12 Multiplication by the com-plex con-ju-gate : \T1/pcr/m/n/12 mu lt_c_conjugate [154] [155] [156] [157] Underfull \hbox (badness 10000) in paragraph at lines 5666--5669 [158] [159]>] [160] [161 <./xcas- rotation1.png Underfull \hbox (badness 10000) in paragraph at lines 5776--5778 Underfull \hbox (badness 10000) in paragraph at lines 5790--5791 Underfull \hbox (badness 10000) in paragraph at lines 5798--5803 [161] Overfull \hbox (22.15463pt too wide) in paragraph at lines 5805--5806 \T1/pcr/m/n/10.95 [sqrt(2)/2+(i)*sqrt(2)/2,sqrt(2)/2+(i)*(-(sqrt(2)/2)), Overfull \hbox (28.72462pt too wide) in paragraph at lines 5805--5806 \T1/pcr/m/n/10.95 -sqrt(2)/2+(i)*sqrt(2)/2,-sqrt(2)/2+(i)*(-(sqrt(2)/2))] [162] Overfull \hbox (9.01465pt too wide) in paragraph at lines 5838--5838 \T1/pcr/m/n/10.95 sqrt(2)*1/2*(sqrt(2)*x+1-i)*(sqrt(2)*x-1+i)*sqrt(2)* Overfull \hbox (30.72623pt too wide) in paragraph at lines 5842--5853 \T1/ptm/m/n/10.95 In real mode, (com-plex box unchecked in the Cas con-fig-u-ra -tion or \T1/pcr/m/n/10.95 complex_mode:=0\T1/ptm/m/n/10.95 ), [163] [164] [165] [166] [167] [168] Overfull \hbox (13.33675pt too wide) in paragraph at lines 6191--6195 []\T1/ptm/m/n/10.95 In \T1/pcr/m/n/10.95 Maple \T1/ptm/m/n/10.95 mode, \T1/pcr/ m/n/10.95 subs \T1/ptm/m/n/10.95 takes two ar-gu-ments : an equal-ity (vari-abl e=substitution [169] Overfull \hbox (5.37682pt too wide) in paragraph at lines 6218--6220 \T1/ptm/m/n/10.95 Input in \T1/pcr/m/n/10.95 Maple \T1/ptm/m/n/10.95 mode (if t he vari-ables \T1/pcr/m/n/10.95 a \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 b \T1 /ptm/m/n/10.95 are purged else in-put \T1/pcr/m/n/10.95 purge(a,b)\T1/ptm/m/n/1 0.95 ): [170] Overfull \hbox (38.76941pt too wide) in paragraph at lines 6274--6274 []\T1/ptm/b/n/12 Eliminate one or more vari-ables from a list of equa-tions: \T 1/pcr/b/n/12 eliminate [171]>] Overfull \hbox (13.75668pt too wide) in paragraph at lines 6361--6371 \T1/ptm/m/n/10.95 grand $\OML/cmm/m/it/10.95 f$ \T1/ptm/m/n/10.95 is known. As- sume for ex-am-ple that \T1/pcr/m/n/10.95 F:=int(f,x)\T1/ptm/m/n/10.95 , then \ T1/pcr/m/n/10.95 preval(F,a,b) [172] [162 <./xcas-rotation2.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6392. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `subscript' on input line 6392. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6392. [173] Underfull \hbox (badness 10000) in paragraph at lines 6439--6441 [174] Underfull \hbox (badness 10000) in paragraph at lines 6529--6531 Overfull \hbox (245.53436pt too wide) in paragraph at lines 6582--6583 \T1/pcr/m/n/10.95 [((10*sqrt(5)+30)*((sqrt(5)-3)/2)^^Bn+30*sqrt(5)-70)/(20*((s qrt(5)-3)/2)^^Bn+10*sqrt(5)-30)] [175] Overfull \hbox (68.14458pt too wide) in paragraph at lines 6596--6597 \T1/pcr/m/n/10.95 [(-sqrt(5)/5)*((-sqrt(5)+1)/2)^^Bn+sqrt(5)/5*((sqrt(5)+1)/2) ^^Bn] Overfull \hbox (100.99454pt too wide) in paragraph at lines 6610--6610 \T1/pcr/m/n/10.95 [[(-sqrt(2)+1)/2*(-sqrt(2))^^B(n+1-1)+(sqrt(2)+1)/2*2^^B(1/2 *(n+1-1)), [176] [177] [178] [179] [180] [181] [182] Overfull \hbox (4.66565pt too wide) in paragraph at lines 6902--6904 []\T1/ptm/m/n/10.95 input [10,2,3]*[4,1] or [10,2,3]*[4,1,0] or '*'([10,2,3],[4 ,1]), out-put 42 (scalar [183] Overfull \hbox (13.31766pt too wide) in paragraph at lines 6985--6991 []\T1/pcr/m/n/10.95 asin \T1/ptm/m/n/10.95 (or \T1/pcr/m/n/10.95 arcsin\T1/ptm/ m/n/10.95 )[][], \T1/pcr/m/n/10.95 acos \T1/ptm/m/n/10.95 (or \T1/pcr/m/n/10.95 arccos\T1/ptm/m/n/10.95 )[][], \T1/pcr/m/n/10.95 atan \T1/ptm/m/n/10.95 (or \T 1/pcr/m/n/10.95 arctan\T1/ptm/m/n/10.95 )[][], \T1/pcr/m/n/10.95 acot, asec, [184] [185] [186] [187] [188]>] [163 <./xcas-rotation3.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 7182. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 7182. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 7182. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 7182. [189] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [190] Underfull \hbox (badness 10000) in paragraph at lines 7288--7289 Underfull \hbox (badness 10000) in paragraph at lines 7305--7315 [191] [192] [193] [194] [195] [196]>] [164 <./xcas-homothety1.png Overfull \hbox (0.60257pt too wide) in paragraph at lines 7568--7569 \T1/ptm/m/n/10.95 list such that de-pen-dent vari-ables come last, e.g. \T1/pcr /m/n/10.95 [x1,..,xn,y1,..,ym] Overfull \hbox (5.45894pt too wide) in paragraph at lines 7571--7572 \T1/pcr/m/n/10.95 constr\T1/ptm/m/n/10.95 . By im-plicit func-tion the-o-rem, t he Ja-co-bian ma-trix of $\OT1/cmr/bx/n/10.95 g \OT1/cmr/m/n/10.95 = (\OML/cmm/ m/it/10.95 g[]; g[]; [] ; g[]\OT1/cmr/m/n/10.95 )$ [197] [198] Overfull \hbox (6.38956pt too wide) in paragraph at lines 7669--7670 []\T1/ptm/m/n/10.95 Optionally, a se-quence of val-ues of the pa-ram-e-ter $\OM L/cmm/m/it/10.95 m$ \T1/ptm/m/n/10.95 may be passed to \T1/pcr/m/n/10.95 numdif f\T1/ptm/m/n/10.95 . [199] [200] [201] [202] [203] [204] [205] Overfull \hbox (18.3649pt too wide) in paragraph at lines 7926--7928 []\T1/ptm/m/n/10.95 if $\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 6\OT1/cmr/m/n/10.95 = 0$\T1/ptm /m/n/10.95 , the list $\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 u\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 v\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OMS/cms y/m/n/10.95 ^^@\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\O T1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.9 5 x\OT1/cmr/m/n/10.95 )]$ \T1/ptm/m/n/10.95 (or $\OT1/cmr/m/n/10.95 [\OML/cmm/m /it/10.95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) + \OML /cmm/m/it/10.95 u\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\ OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 v\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 u[]\OT1/c mr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )]$\T1/ptm/m/n/10.95 ), Overfull \hbox (24.67255pt too wide) in paragraph at lines 7928--7932 \T1/pcr/m/n/10.95 ibpdv([F(x),g(x)],0) \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/1 0.95 F(x)+G(x) \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.95 diff(G(x))=g(x)\T1/ptm /m/n/10.95 . [206] Overfull \hbox (18.10255pt too wide) in paragraph at lines 7979--7983 \T1/pcr/m/n/10.95 ibpu([F(x),g(x)],0) \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10 .95 F(x)+G(x) \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.95 diff(G(x))=g(x)\T1/ptm/ m/n/10.95 . [207]>] [208] [165 <./xcas-homothety2.png [209] [210] [211] [212] [213] [214] Overfull \hbox (0.30856pt too wide) in paragraph at lines 8297--8298 []\T1/ptm/m/n/10.95 In the next ex-am-ple we min-i-mize the func-tional $\OML/c mm/m/it/10.95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 ) = [][](\OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m /n/10.95 )[] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 4 \OML/cmm/m/it/10.95 y \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )) d\OML/cmm/m/it/1 0.95 x$ [215>]] [216] [166 <./xcas-homoth ety3.png [217] Overfull \hbox (1.68819pt too wide) in paragraph at lines 8416--8418 \T1/ptm/m/n/10.95 We set $\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/i t/10.95 y; y[]; x\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) []$ \T1/ptm/m/n/10.95 and com-pute the as-so-ci-ated Euler-Lagrange Overfull \hbox (1.34956pt too wide) in paragraph at lines 8431--8432 \T1/pcr/m/n/10.95 [-K_0,K_0*(-exp((x-c_1)/K_0)[][]^[]2-1)/(2*exp((x-c_1)/K_0)) ] ( FP-DIV ) ( FP-DIV ) [218] [219] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [220] [221]>] Overfull \hbox (41.86461pt too wide) in paragraph at lines 8560--8560 \T1/pcr/m/n/10.95 limit((sqrt(1+x+x[][]^[]2/2)-exp(x/2))/((1-cos(x))*sin(x)),x ,0) Underfull \hbox (badness 10000) in paragraph at lines 8575--8576 [222] [167 <./xcas-similarity1.png Overfull \hbox (19.22124pt too wide) in paragraph at lines 8593--8593 []\T1/ptm/b/n/12 Expand a tran-scen-den-tal and trigono-met-ric ex-pres-sion : \T1/pcr/m/n/12 texpand Overfull \hbox (27.45184pt too wide) in paragraph at lines 8594--8601 \T1/pcr/m/n/10.95 texpand \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 tExpand \T1/pt m/m/n/10.95 ex-pands these func-tions, like si-mul-ta-ne-ous call-ing \T1/pcr/m /n/10.95 expexpand\T1/ptm/m/n/10.95 , Underfull \hbox (badness 10000) in paragraph at lines 8594--8601 Overfull \hbox (40.64427pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.23. REWRITING TRANSCENDENTAL AND TRIGONOMETRIC EXPRESSION S \T1/ptm/m/n/10.95 223 [223] Overfull \hbox (19.96469pt too wide) in paragraph at lines 8640--8640 \T1/pcr/m/n/10.95 texpand(log(e[][]^[]2)+exp(2*log(2))+exp(log(3)+log(2))) [224] Overfull \hbox (35.57925pt too wide) in paragraph at lines 8666--8668 []\T1/pcr/m/n/10.95 combine(expr,trig) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 c ombine(expr,sin) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 combine(expr,cos) Overfull \hbox (40.64427pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.23. REWRITING TRANSCENDENTAL AND TRIGONOMETRIC EXPRESSION S \T1/ptm/m/n/10.95 225 [225] [226] Overfull \hbox (47.187pt too wide) in paragraph at lines 8754--8754 []\T1/ptm/b/n/12 Increase the phase by $\OML/cmm/m/it/12 ^^Y=\OT1/cmr/m/n/12 2$ \T1/ptm/b/n/12 in a trigono-met-ric ex-pres-sion: \T1/pcr/b/n/12 shift_phase Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 8754. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\pi' on input line 8754. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 8754. [227>]] [168 <./xcas-similarity2.png [228] [229] [230] Overfull \hbox (1.34956pt too wide) in paragraph at lines 8934--8934 \T1/pcr/m/n/10.95 simplify(sincos(((i)*(exp((i)*x))[][]^[]2-i)/(2*exp((i)*x))) ) Overfull \hbox (14.48955pt too wide) in paragraph at lines 8936--8936 \T1/pcr/m/n/10.95 simplify(exp2trig(((i)*(exp((i)*x))[][]^[]2-i)/(2*exp((i)*x) ))) [231] [232]>] Overfull \hbox (11.91388pt too wide) in paragraph at lines 9028--9028 \T1/ptm/b/n/12 hy-per-bolic func-tions as func-tion of exp(x): \T1/pcr/m/n/12 h alftan_hyp2exp Overfull \hbox (97.8606pt too wide) in paragraph at lines 9029--9035 \T1/pcr/m/n/10.95 halftan_hyp2exp \T1/ptm/m/n/10.95 rewrites $[]\OT1/cmr/m/n/10 .95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\OT1/cmr /m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\O T1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 in terms of $[]\OT1/cmr/m/n/10.95 ([])$ \T1/ptm/m/n/10.95 and $[]\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; []\ OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ Overfull \hbox (0.93056pt too wide) in paragraph at lines 9044--9048 \T1/pcr/m/n/10.95 atrig2ln \T1/ptm/m/n/10.95 takes as ar-gu-ment an ex-pres-sio n con-tain-ing in-verse trigono-met-ric func- [233] [169 <./xcas-similarity3.png Overfull \hbox (3.02141pt too wide) in paragraph at lines 9053--9058 \T1/pcr/m/n/10.95 trig2exp \T1/ptm/m/n/10.95 rewrites the trigono-met-ric func- tions with com-plex ex-po-nen-tials (\T1/ptm/m/sc/10.95 with- [234] Overfull \hbox (42.9815pt too wide) in paragraph at lines 9102--9102 []\T1/ptm/b/n/12 Rewrite an ex-pres-sion with dif-fer-ent op-tions : \T1/pcr/m/ n/12 convert convertir [235] Overfull \hbox (2.69547pt too wide) in paragraph at lines 9133--9135 []\T1/ptm/m/n/10.95 convert units, for ex-am-ple \T1/pcr/m/n/10.95 convert(1000 _g,_kg)=1.0_kg \T1/ptm/m/n/10.95 (cf [][][]10.1.4[][][][]). Overfull \hbox (3.0008pt too wide) in paragraph at lines 9135--9141 []\T1/ptm/m/n/10.95 write a real as a con-tin-ued frac-tion : \T1/pcr/m/n/10.95 convert(a,confrac,'fc') \T1/ptm/m/n/10.95 writes Overfull \hbox (1.743pt too wide) in paragraph at lines 9135--9141 \T1/ptm/m/n/10.95 For ex-am-ple, \T1/pcr/m/n/10.95 convert(1.2,confrac,'fc')=[1 ,5] \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 fc \T1/ptm/m/n/10.95 con-tains Overfull \hbox (45.38257pt too wide) in paragraph at lines 9157--9157 []\T1/ptm/b/n/12 Fourier co-ef-fi-cients : \T1/pcr/m/n/12 fourier_an \T1/ptm/b/ n/12 and \T1/pcr/m/n/12 fourier_bn \T1/ptm/b/n/12 or \T1/pcr/m/n/12 fourier_cn [236] [237] Overfull \hbox (3.54485pt too wide) in paragraph at lines 9222--9228 \T1/pcr/m/n/10.95 fourier_cn(expr,x,T,n,a) \T1/ptm/m/n/10.95 re-turns the Fouri er co-ef-fi-cient $\OML/cmm/m/it/10.95 c[]$ \T1/ptm/m/n/10.95 of a function$\OM L/cmm/m/it/10.95 f$ [238] Overfull \hbox (41.86461pt too wide) in paragraph at lines 9267--9267 \T1/pcr/m/n/10.95 ((2*i)*pi[][]^[]2*n[][]^[]2*exp((-i)*n*2*pi)+2*pi*n*exp((-i) *n*2*pi)+ [239] Overfull \hbox (106.46944pt too wide) in paragraph at lines 9312--9313 \T1/pcr/m/n/10.95 pi*(5*i*exp(5*i*s)+(-21*i)*exp((-3*i)*s)+16*i*exp((-2*i)*s)) *sign(s)/56 [240] [241] [242] Overfull \hbox (21.05954pt too wide) in paragraph at lines 9505--9506 \T1/pcr/m/n/10.95 x*Heaviside(x)*exp(-x)-x*Heaviside(-x)*exp(x)+exp(-abs(x)) [243>]] Overfull \hbox (14.48955pt too wide) in paragraph at lines 9528--9529 \T1/pcr/m/n/10.95 Heaviside(x+1)-Heaviside(x-1)+Heaviside(x-1)*exp(-2*x+2)+ [244] [170 <./xcas-similarity4.png [245] [246] Overfull \hbox (7.24951pt too wide) in paragraph at lines 9683--9692 \T1/ptm/m/n/10.95 Hence, the co-ef-fi-cients of $\OML/cmm/m/it/10.95 P$ \T1/ptm /m/n/10.95 are [0,1,1,0], $\OML/cmm/m/it/10.95 N \OT1/cmr/m/n/10.95 = 4$ \T1/pt m/m/n/10.95 and $\OML/cmm/m/it/10.95 ! \OT1/cmr/m/n/10.95 = [](2\OML/cmm/m/it/1 0.95 i^^Y=\OT1/cmr/m/n/10.95 4) = [247] [248] Underfull \hbox (badness 10000) in paragraph at lines 9766--9768 [249] Overfull \hbox (21.59802pt too wide) in paragraph at lines 9780--9785 \T1/ptm/m/n/10.95 Therefore, if $\OML/cmm/m/it/10.95 m \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 is a mul-ti-ple of $\OML/cmm/m/it/10.9 5 N$ \T1/ptm/m/n/10.95 ($\OML/cmm/m/it/10.95 m \OT1/cmr/m/n/10.95 = \OML/cmm/m/ it/10.95 n \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 l \OMS/cmsy/m/n/10.95 ^^A \ OML/cmm/m/it/10.95 N$\T1/ptm/m/n/10.95 ) then $[][] \OML/cmm/m/it/10.95 ![] \OT 1/cmr/m/n/10.95 = Underfull \hbox (badness 10000) in paragraph at lines 9795--9797 Overfull \hbox (48.4346pt too wide) in paragraph at lines 9803--9803 \T1/pcr/m/n/10.95 x={2,sqrt(2)/2,-1,(-sqrt(2)/2,0,(-sqrt(2))/2,-1,sqrt(2)/2} [250] [251] Overfull \hbox (7.91956pt too wide) in paragraph at lines 9874--9883 \T1/pcr/m/n/10.95 q:=[20.25,-4.48115530061+1.72227182413*i,-0.375+0.875*i, Overfull \hbox (34.19952pt too wide) in paragraph at lines 9919--9920 \T1/pcr/m/n/10.95 2.0*re(q[0]/2+q[1]*t0(1)+q[2]*t0(2)+q[3]*t0(3)+q[4]/2*t0(4)) [252] [253] [254]>] [171 <./xcas-inve rsion1.png Overfull \hbox (6.2986pt too wide) in paragraph at lines 10017--10017 []\T1/ptm/b/n/12 Audio clip prop-er-ties : \T1/pcr/m/n/12 channels[]\T1/ptm/b/n /12 , \T1/pcr/m/n/12 bit_depth[]\T1/ptm/b/n/12 , \T1/pcr/m/n/12 samplerate[]\T1 /ptm/b/n/12 , Overfull \hbox (26.70123pt too wide) in paragraph at lines 10030--10031 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains a WAV file \T1/pcr/m/n/10.95 example.wav [255] Overfull \hbox (29.43872pt too wide) in paragraph at lines 10041--10042 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains a WAV file \T1/pcr/m/n/10.95 example.wav\ T1/ptm/m/n/10.95 . Overfull \hbox (26.41708pt too wide) in paragraph at lines 10061--10062 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that the di-rec-tory \T1/pcr/m/n/10. 95 sounds \T1/ptm/m/n/10.95 con-tains two files, \T1/pcr/m/n/10.95 example1.wav ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [256] ( FP-DIV ) ( FP-DIV )>] [172 <./xcas-inversion2.png ( FP-DIV ) ( FP-DIV ) [257] [258] [259] Overfull \hbox (0.93288pt too wide) detected at line 10213 \OT1/cmr/bx/n/10.95 v[] \OT1/cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 v[]; v[]; [] ; v[]; []\OT1/cmr/m/n/10.95 ] [] \OT1/cmr/bx/n/10.95 w[] \OT1/cmr/m/n/10.95 = [ []\OML/cmm/m/it/10.95 ; w[]; w[]; [] ; w[]\OT1/cmr/m/n/10.95 ]\OML/cmm/m/it/10. 95 : [260] Overfull \hbox (93.32945pt too wide) in paragraph at lines 10278--10279 \T1/pcr/m/n/10.95 2*Heaviside(t)*((t+1)*ln(abs(sqrt(t)-sqrt(t+1))/(sqrt(t)+sqr t(t+1)))+ [261] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) >] [262] ( FP-DIV [173 <./xcas-inversion3.png ) ( FP-DIV ) [263] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10348--10348 []\T1/pcr/m/n/10.95 data:=0.5*threshold(3*sin(2*pi*220*snd),[-1.0,1.0])+noise: ; ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.76451pt too wide) in paragraph at lines 10373--10374 \T1/ptm/m/n/10.95 Bound spec-i-fi-ca-tion may be ei-ther a sin-gle real num-ber $\OML/cmm/m/it/10.95 b$ \T1/ptm/m/n/10.95 (or an equa-tion \T1/pcr/m/n/10.95 b =value\T1/ptm/m/n/10.95 ) [264] [265] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10436--10437 \T1/pcr/m/n/10.95 threshold([-120,-11,-3,0,7,27,111,234],[-100=-inf,100=inf]) Overfull \hbox (14.48955pt too wide) in paragraph at lines 10445--10445 \T1/pcr/m/n/10.95 data:=threshold(3*sin(2*pi*440*soundsec(2)),[-1.0,1.0]):; ( FP-DIV ) ( FP-DIV ) >] [174 <./xcas-inversion4.png Overfull \hbox (1.41428pt too wide) in paragraph at lines 10460--10460 []\T1/ptm/b/n/12 Bartlett-Hann win-dow func-tion : \T1/pcr/m/n/12 bartlett_hann _window[] [266] Overfull \hbox (33.15404pt too wide) in paragraph at lines 10469--10469 []\T1/ptm/b/n/12 Blackman-Harris win-dow func-tion : \T1/pcr/m/n/12 blackman_ha rris_window[] [267] [268] [269] [270] [271] [272] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV )> ] [273] [175 <./xcas-projection1.png [274] [275] Underfull \hbox (badness 10000) in paragraph at lines 10763--10770 [276] Overfull \hbox (27.62953pt too wide) in paragraph at lines 10844--10844 \T1/pcr/m/n/10.95 r2e(%%%{1,[2,0]%%%}+%%%{-1,[1,1]%%%}+%%%{2,[0,1]%%%},[x,y]) [277] Overfull \hbox (67.04948pt too wide) in paragraph at lines 10846--10846 \T1/pcr/m/n/10.95 poly2symb(%%%{1,[2,0]%%%}+%%%{-1,[1,1]%%%}+%%%{2,[0,1]%%%},[ x,y]) [278] [279] [280]>] [281] [176 <./xcas-proje ction2.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11042. 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[282] [283] Overfull \hbox (35.29462pt too wide) in paragraph at lines 11121--11122 []\T1/pcr/m/n/10.95 13*sqrt(5)-15)*(-x+1)*((sqrt(5)+15)*x+7*sqrt(5)-5))/6820 [284] Overfull \hbox (7.91956pt too wide) in paragraph at lines 11155--11156 []\T1/pcr/m/n/10.95 7*sqrt(5)-5)*(-x+1)*((sqrt(5)+25)*x-13*sqrt(5)-15))/6820 [285] [286] Overfull \hbox (31.75977pt too wide) in paragraph at lines 11233--11241 \T1/ptm/m/n/10.95 Let $\OML/cmm/m/it/10.95 P$ \T1/ptm/m/n/10.95 and $\OML/cmm/m /it/10.95 Q$ \T1/ptm/m/n/10.95 be two poly-no-mi-als given by the list of their co-ef-fi-cients then \T1/pcr/m/n/10.95 rootof(P,Q) Overfull \hbox (25.26865pt too wide) in paragraph at lines 11248--11251 $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10. 95 ) = \OML/cmm/m/it/10.95 x$ \T1/ptm/m/n/10.95 is rep-re-sented by [1,0] and $ \OML/cmm/m/it/10.95 $ \T1/ptm/m/n/10.95 by \T1/pcr/m/n/10.95 rootof([1,0],[1,0 ,10,0,1])\T1/ptm/m/n/10.95 . [287] Overfull \hbox (15.58464pt too wide) in paragraph at lines 11285--11285 \T1/pcr/m/n/10.95 [[(-1+(i)*sqrt(3))/2,1],[(-1-(i)*sqrt(3))/2,1],[1,1]] [288] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11300. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11300. Overfull \hbox (44.45795pt too wide) in paragraph at lines 11317--11317 []\T1/ptm/b/n/12 Convert a se-ries ex-pan-sion into a poly-no-mial : \T1/pcr/m/ n/12 convert convertir [289] [290] [291] Overfull \hbox (1.34956pt too wide) in paragraph at lines 11457--11457 []\T1/pcr/m/n/10.95 -8.96*cos(0.262*x)-0.445*sin(0.785*x)-1.75*sin(0.524*x) [292] [293] [294] [295] Overfull \hbox (7.91956pt too wide) in paragraph at lines 11642--11642 []\T1/pcr/m/n/10.95 +9.40462512097)/(x[][]^[]6-1.24295718965*x[][]^[]5-1.33526 268624*x[][]^[]4 [296] [297] [298] [299] Overfull \hbox (23.60124pt too wide) in paragraph at lines 11810--11810 []\T1/ptm/b/n/12 Choosing the GCD al-go-rithm of two poly-no-mi-als : \T1/pcr/m /n/12 ezgcd heugcd [300] [301] Overfull \hbox (4.5433pt too wide) in paragraph at lines 11872--11876 \T1/ptm/m/n/10.95 This func-tion com-putes the poly-no-mial co-ef-fi-cients of Bé-zout's Iden-tity (also known [302]>] [303] [304] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 11990. [305] [177 <./xcas-projection3.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12020. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12020. [306] [307] Overfull \hbox (5.11366pt too wide) in paragraph at lines 12095--12106 \T1/ptm/m/n/10.95 the sec-ond term gives the Sturm se-quence of the nu-mer-a-to r (here \T1/pcr/m/n/10.95 3x[][]^[]3+1, 9x[][]^[]2, Overfull \hbox (45.35365pt too wide) in paragraph at lines 12115--12122 \T1/ptm/m/n/10.95 ma-trix $\OML/cmm/m/it/10.95 S$ \T1/ptm/m/n/10.95 is a square ma-trix of size \T1/pcr/m/n/10.95 m+n \T1/ptm/m/n/10.95 where \T1/pcr/m/n/10.9 5 m=degree(B(x)) \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 n=degree(A(x))\T1/ptm/ m/n/10.95 . Overfull \hbox (10.21689pt too wide) detected at line 12127 [] Overfull \hbox (16.61528pt too wide) detected at line 12134 [] [308] Overfull \hbox (10.21689pt too wide) detected at line 12158 [] Overfull \hbox (16.61528pt too wide) detected at line 12165 [] Overfull \hbox (27.27675pt too wide) in paragraph at lines 12169--12172 \T1/ptm/m/n/10.95 has a unique so-lu-tion $\OML/cmm/m/it/10.95 U; V$ \T1/ptm/m/ n/10.95 such that degree$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 U\OT1/cmr/m/n/ 10.95 ) \OML/cmm/m/it/10.95 <$\T1/ptm/m/n/10.95 degree$\OT1/cmr/m/n/10.95 (\OML /cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 and degree$\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 V\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 <$\T1/pt m/m/n/10.95 degree$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 )$\T1/ptm/m/n/10.95 , [309] Underfull \hbox (badness 10000) in paragraph at lines 12221--12222 Overfull \hbox (11.34956pt too wide) in paragraph at lines 12223--12224 []$ [310] Underfull \hbox (badness 10000) in paragraph at lines 12263--12265 [311] [312] Overfull \hbox (130.49303pt too wide) detected at line 12344 \OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (0\OML/cmm/m/it/10.95 ; a; x\OT1/cmr/m/ n/10.95 ) = 1\OML/cmm/m/it/10.95 ; L\OT1/cmr/m/n/10.95 (1\OML/cmm/m/it/10.95 ; a; x\OT1/cmr/m/n/10.95 ) = 1 + \OML/cmm/m/it/10.95 a \OMS/cmsy/m/n/10.95 ^^@ \ OML/cmm/m/it/10.95 x; L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n; a; x\OT1/cmr /m/n/10.95 ) = []\OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; a; x\OT1/cmr /m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 L\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 2\OML/cmm/m/i t/10.95 ; a; x\OT1/cmr/m/n/10.95 ) [313] [314] [315] [316] Underfull \hbox (badness 10000) in paragraph at lines 12490--12498 [317] [318] [319] [320] Overfull \hbox (2.48633pt too wide) in paragraph at lines 12705--12713 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 partfrac \T1/ptm/m/n/10.95 com-mand is equiv-a-lent to the \T1/pcr/m/n/10.95 convert \T1/ptm/m/n/10.95 com-mand with \ T1/pcr/m/n/10.95 parfrac Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 12723. 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[321] Overfull \hbox (10.2822pt too wide) in paragraph at lines 12743--12743 []\T1/ptm/b/n/12 Exact bounds for com-plex roots of a poly-no-mial : \T1/pcr/m/ n/12 complexroot Underfull \hbox (badness 10000) in paragraph at lines 12761--12765 Overfull \hbox (60.47949pt too wide) in paragraph at lines 12769--12769 \T1/pcr/m/n/10.95 [[-1,1],[[(4-7*i)/8,(8-13*i)/16],1],[[(8+13*i)/16,(4+7*i)/8] ,1]] [322] [323]>] Overfull \hbox (33.69386pt too wide) in paragraph at lines 12853--12853 []\T1/ptm/b/n/12 Exact bounds for pos-i-tive real roots of a poly-no-mial: \T1/ pcr/m/n/12 VAS_positive Underfull \hbox (badness 10000) in paragraph at lines 12854--12859 [324] Overfull \hbox (35.85301pt too wide) in paragraph at lines 12929--12929 []\T1/ptm/b/n/12 A lower bound for the pos-i-tive real roots of a poly-no-mial: \T1/pcr/m/n/12 poslbdLMQ Overfull \hbox (4.99028pt too wide) in paragraph at lines 12966--12966 []\T1/ptm/b/n/12 Exact val-ues of ra-tio-nal roots of a poly-no-mial : \T1/pcr/ m/n/12 rationalroot [325] [178 <./xcas-projection4.png [326] [327] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13055. 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Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13214. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13214. Overfull \hbox (21.05954pt too wide) in paragraph at lines 13226--13226 \T1/pcr/m/n/10.95 (6%13)*x[][]^[]5+(2%13)*x[][]^[]4+(2%13)*x[][]^[]3+(1%13)*x[ ][]^[]2+(-3%13)*x+1%13 Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\nonscript' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\mskip' on input line 13230. 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Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\mskip' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\medmuskip' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13230. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13242. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13242. [332] Overfull \hbox (31.98335pt too wide) in paragraph at lines 13252--13252 []\T1/ptm/b/n/12 Rebuild a frac-tion from its value mod-ulo $\OML/cmm/m/it/12 p $ \T1/ptm/b/n/12 : \T1/pcr/m/n/12 fracmod iratrecon Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13252. 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[335] Overfull \hbox (8.43124pt too wide) in paragraph at lines 13370--13373 []\T1/ptm/m/n/10.95 an ir-re-ducible prim-i-tive min-i-mal poly-no-mial gen-er- at-ing an ideal $\OML/cmm/m/it/10.95 I$ \T1/ptm/m/n/10.95 in $\U/msb/m/n/10.95 Z\OML/cmm/m/it/10.95 =p\U/msb/m/n/10.95 Z\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.9 5 X\OT1/cmr/m/n/10.95 ]$\T1/ptm/m/n/10.95 , [336]>] [180 <./xcas-harmdiv.png Underfull \hbox (badness 10000) in paragraph at lines 13434--13437 Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13446. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13446. [337] [338] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13491. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13491. 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Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13569. [341] [342] [343] Overfull \hbox (2.44466pt too wide) in paragraph at lines 13702--13702 \T1/pcr/m/n/10.95 1/4+(-(4*sqrt(3)))/4*(x-pi/6)+(4*3-4)/4*(x-pi/6)[][]^[]2+ Overfull \hbox (9.01465pt too wide) in paragraph at lines 13702--13702 \T1/pcr/m/n/10.95 32*sqrt(3)/3/4*(x-pi/6)[][]^[]3+(-16*3+16)/3/4*(x-pi/6)[][]^ []4+ Overfull \hbox (1.43379pt too wide) in paragraph at lines 13707--13710 []\T1/ptm/m/n/10.95 Find a 5th-order se-ries ex-pan-sion of $[]\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 in the vicin-i ty of \T1/pcr/m/n/10.95 x=+$\OMS/cmsy/m/n/10.95 1$\T1/ptm/m/n/10.95 . Overfull \hbox (1.15045pt too wide) in paragraph at lines 13714--13718 \T1/ptm/m/n/10.95 Note that the ex-pan-sion vari-able and the ar-gu-ment of the \T1/pcr/m/n/10.95 order_size [344] [345]>] [181 <./xcas-harmdiv2.pn g [346] Overfull \hbox (7.91956pt too wide) in paragraph at lines 13829--13829 \T1/pcr/m/n/10.95 1+x+1/2*x[][]^[]2+1/6*x[][]^[]3+1/24*x[][]^[]4+1/120*x[][]^[ ]5+x[][]^[]6*order_size(x) [347] [348] [349] Overfull \hbox (53.0119pt too wide) in paragraph at lines 13970--13973 \T1/ptm/m/n/10.95 If $\OML/cmm/m/it/10.95 a > b$\T1/ptm/m/n/10.95 , then \T1/pc r/m/n/10.95 i[a,b] \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10.95 i[evalf(b,15)-e psilon,evalf(a,15)+epsilon]\T1/ptm/m/n/10.95 . [350] [351] [352] [353]>] [354] [182 <./xcas-harmconj.png [355] [356] [357] [358] [359] [360] [361] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14588. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14588. Overfull \hbox (7.91956pt too wide) in paragraph at lines 14596--14597 \T1/pcr/m/n/10.95 set[tuple[1,3,4],tuple[1,3,5],tuple[2,3,4],tuple[2,3,5]] Overfull \hbox (7.91956pt too wide) in paragraph at lines 14621--14623 \T1/pcr/m/n/10.95 set[tuple[1,3,5],tuple[1,3,6],tuple[1,4,5],tuple[1,4,6], [362] [363] [364] [365] Overfull \hbox (61.73636pt too wide) in paragraph at lines 14861--14864 \T1/pcr/m/n/10.95 at \T1/ptm/m/n/10.95 can not be used for se-quences, in-dex n o-ta-tion must be used, as in \T1/pcr/m/n/10.95 (0,1,2,3,4,5)[2..3]\T1/ptm/m/n/ 10.95 . [366]>] [183 <./xcas-harmconj2.png Overfull \hbox (16.01051pt too wide) in paragraph at lines 14947--14949 \T1/pcr/m/n/10.95 l:=tail([0,1,2,3]) \T1/ptm/m/n/10.95 does the same thing as \ T1/pcr/m/n/10.95 l:=suppress([0,1,2,3],0) Underfull \hbox (badness 10000) in paragraph at lines 14947--14949 [367] [368] [369] [370] Overfull \hbox (23.86581pt too wide) in paragraph at lines 15117--15117 []\T1/ptm/b/n/12 Concatenate two lists or a list and an el-e-ment : \T1/pcr/m/n /12 concat augment [371] [372] [373] [374] [375] [376] [377] [378] Overfull \hbox (2.9695pt too wide) in paragraph at lines 15422--15427 \T1/pcr/m/n/10.95 product(expr,var,a,b,p) \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.9 5 mul(expr,var,a,b,p) \T1/ptm/m/n/10.95 re-turns the prod- [379] [380] [381] Overfull \hbox (95.50632pt too wide) in paragraph at lines 15514--15517 \T1/ptm/m/n/10.95 Note that if \T1/pcr/m/n/10.95 l1,l2,l3 \T1/ptm/m/n/10.95 are lists \T1/pcr/m/n/10.95 sizes([l1,l2,l3]) \T1/ptm/m/n/10.95 is equiv-a-lent to \T1/pcr/m/n/10.95 map(size,[l1,l2,l3])\T1/ptm/m/n/10.95 . [382]>] [383] [184 <./xcas-polar .png [384] [385] [386] [387] [388] [389] Overfull \hbox (4.6312pt too wide) in paragraph at lines 15878--15878 []\T1/ptm/b/n/12 Scalar prod-uct : \T1/pcr/m/n/12 scalar_product * dotprod dot dotP [390] Overfull \hbox (59.75995pt too wide) in paragraph at lines 15916--15916 \T1/pcr/m/n/14.4 stddevp,median,quantile,quartiles,boxwhisker Overfull \hbox (246.52844pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.45. STATISTICS FUNCTIONS : \T1/pcr/m/n/10.95 MEAN,VARIANC E,STDDEV, STDDEVP,MEDIAN,QUANTILE,QUARTILES,BOXWHISKER \T1/ptm/m/n/10.95 391 [391] [392] Overfull \hbox (52.2863pt too wide) in paragraph at lines 16016--16029 \T1/pcr/m/n/10.95 table \T1/ptm/m/n/10.95 takes as ar-gu-ment a list or a se-qu ence of equal-i-ties \T1/pcr/m/n/10.95 index_name=element_value\T1/ptm/m/n/10.9 5 . Overfull \hbox (246.52844pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 5.45. STATISTICS FUNCTIONS : \T1/pcr/m/n/10.95 MEAN,VARIANC E,STDDEV, STDDEVP,MEDIAN,QUANTILE,QUARTILES,BOXWHISKER \T1/ptm/m/n/10.95 393 [393] [394] [395]>] Overfull \hbox (53.9095pt too wide) in paragraph at lines 16107--16107 \T1/pcr/m/n/10.95 [[1.83785427742,0.793007112053,-0.978388964902,-1.8860202385 7], Overfull \hbox (60.47949pt too wide) in paragraph at lines 16107--16107 \T1/pcr/m/n/10.95 [-1.50900874199,-0.241173369698,0.311373795585,-0.5327524314 54]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 16111--16112 \T1/pcr/m/n/10.95 [[2.00549363438,3.03381264955,2.06539073586,2.04844321217], Overfull \hbox (21.05954pt too wide) in paragraph at lines 16111--16112 \T1/pcr/m/n/10.95 [3.88383254968,3.28664474655,3.76909781061,2.39113253355]] Overfull \hbox (6.13066pt too wide) in paragraph at lines 16115--16115 []\T1/ptm/b/n/12 Diagonal of a ma-trix or ma-trix of a di-ag-o-nal : \T1/pcr/m/ n/12 BlockDiagonal [396] [185 <./xcas-pole.png [397] [398] [399] [400] [401] Overfull \hbox (51.9962pt too wide) in paragraph at lines 16458--16462 []\T1/ptm/m/n/10.95 Larger parts of a ma-trix can be changed si-mul-ta-ne-ously . Let-ting \T1/pcr/m/n/10.95 A := [[4,5],[2,6]] [402] [403] Overfull \hbox (10.65373pt too wide) in paragraph at lines 16578--16578 []\T1/ptm/b/n/12 Cumulated sum of el-e-ments of each col-umn of a ma-trix : \T1 /pcr/m/n/12 cumSum Overfull \hbox (10.24542pt too wide) in paragraph at lines 16588--16588 []\T1/ptm/b/n/12 Multiplication of el-e-ments of each col-umn of a ma-trix : \T 1/pcr/m/n/12 product [404] [405]>] [186 <./xcas-reciprocation.png [406] [407] [408] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16778--16782 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [409] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16794--16798 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16808--16812 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16824--16828 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , Overfull \hbox (4.4025pt too wide) in paragraph at lines 16837--16841 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [410] Overfull \hbox (4.4025pt too wide) in paragraph at lines 16851--16855 \T1/ptm/m/n/10.95 If the ma-trix is stored in a vari-able, for ex-am-ple \T1/pc r/m/n/10.95 A:=[[4,5],[2,6]]\T1/ptm/m/n/10.95 , [411] [412] [413] [414] Overfull \hbox (9.29686pt too wide) in paragraph at lines 17084--17084 []\T1/ptm/b/n/12 Add $\OML/cmm/m/it/12 k$ \T1/ptm/b/n/12 times a row to an an-o ther row : \T1/pcr/m/n/12 mRowAdd, scaleadd, Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 17084. 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[415] [416] [417] [418] Overfull \hbox (14.48955pt too wide) in paragraph at lines 17234--17235 \T1/pcr/m/n/10.95 border(A,b)=tran([op(tran(A)),b])=tran(append(tran(A),b)) Overfull \hbox (30.02687pt too wide) in paragraph at lines 17246--17255 \T1/pcr/m/n/10.95 count \T1/ptm/m/n/10.95 re-turns \T1/pcr/m/n/10.95 f(A[0,0])+ ..f(A[p-1,q-1]) \T1/ptm/m/n/10.95 (resp. \T1/pcr/m/n/10.95 f(l[0])+..f(l[n-1])\ T1/ptm/m/n/10.95 ) [419] [420]>] Overfull \hbox (8.78134pt too wide) in paragraph at lines 17294--17294 []\T1/ptm/b/n/12 Statistics func-tions act-ing on col-umn ma-tri-ces : \T1/pcr/ m/n/12 mean\T1/ptm/b/n/12 , \T1/pcr/m/n/12 stddev\T1/ptm/b/n/12 , Overfull \hbox (4.89598pt too wide) in paragraph at lines 17294--17294 \T1/pcr/m/n/12 variance\T1/ptm/b/n/12 , \T1/pcr/m/n/12 median\T1/ptm/b/n/12 , \ T1/pcr/m/n/12 quantile\T1/ptm/b/n/12 , \T1/pcr/m/n/12 quartiles\T1/ptm/b/n/12 , \T1/pcr/m/n/12 boxwhisker Overfull \hbox (35.29462pt too wide) in paragraph at lines 17325--17325 \T1/pcr/m/n/10.95 median([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], [421] [187 <./xcas-lo cus1.png Overfull \hbox (48.4346pt too wide) in paragraph at lines 17331--17331 \T1/pcr/m/n/10.95 quantile([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], Overfull \hbox (22.15463pt too wide) in paragraph at lines 17331--17331 \T1/pcr/m/n/10.95 [3,4,2,5,6,0,1],[4,2,5,6,0,1,3],[2,5,6,0,1,3,4]],0.25) Overfull \hbox (48.4346pt too wide) in paragraph at lines 17335--17335 \T1/pcr/m/n/10.95 quantile([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], Overfull \hbox (22.15463pt too wide) in paragraph at lines 17335--17335 \T1/pcr/m/n/10.95 [3,4,2,5,6,0,1],[4,2,5,6,0,1,3],[2,5,6,0,1,3,4]],0.75) Overfull \hbox (55.0046pt too wide) in paragraph at lines 17343--17343 \T1/pcr/m/n/10.95 quartiles([[6,0,1,3,4,2,5],[0,1,3,4,2,5,6],[1,3,4,2,5,6,0], [422] [423] Overfull \hbox (40.76952pt too wide) in paragraph at lines 17434--17435 \T1/pcr/m/n/10.95 [[1,0,0,0,0],[0,2,0,0,0],[0,0,3,0,0],[0,0,0,4,0],[0,0,0,0,5] ] [424] [425] [426] [427] [428] [429] [430] [431] [432] [433] Overfull \hbox (8.6376pt too wide) in paragraph at lines 17899--17900 \T1/ptm/m/n/10.95 max-i-mized or min-i-mized sub-ject to lin-ear (in)equality c on-straints), as well as (mixed) Overfull \hbox (30.99112pt too wide) in paragraph at lines 17908--17909 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_nonnegative\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_integer \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 integer\T1 /ptm/m/n/10.95 ), \T1/pcr/m/n/10.95 lp_binary Overfull \hbox (28.33032pt too wide) in paragraph at lines 17912--17913 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 exact\T1/ptm/m/n/10.95 , \T1/pc r/m/n/10.95 float\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_simplex \T1/ptm/m/n/1 0.95 or \T1/pcr/m/n/10.95 lp_interiorpoint [434] Overfull \hbox (47.89798pt too wide) in paragraph at lines 17919--17920 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_depthfirst\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_breadthfirst\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_hyb rid Overfull \hbox (25.97609pt too wide) in paragraph at lines 17920--17921 []\T1/ptm/m/n/10.95 -- one of \T1/pcr/m/n/10.95 lp_firstfractional\T1/ptm/m/n/1 0.95 , \T1/pcr/m/n/10.95 lp_lastfractional\T1/ptm/m/n/10.95 , Overfull \hbox (3.2868pt too wide) in paragraph at lines 17920--17921 \T1/pcr/m/n/10.95 lp_mostfractional \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 lp_p seudocost \T1/ptm/m/n/10.95 (branch-ing vari-able se- Overfull \hbox (0.5381pt too wide) in paragraph at lines 17927--17928 \T1/ptm/m/n/10.95 the op-tion \T1/pcr/m/n/10.95 lp_maximize=true \T1/ptm/m/n/10 .95 or \T1/pcr/m/n/10.95 lp_maximize \T1/ptm/m/n/10.95 or sim-ply \T1/pcr/m/n/1 0.95 maximize\T1/ptm/m/n/10.95 . Also [435] [436] Overfull \hbox (8.43135pt too wide) in paragraph at lines 18012--18013 \T1/ptm/m/n/10.95 called (\T1/ptm/m/it/10.95 mixed\T1/ptm/m/n/10.95 ) \T1/ptm/m /it/10.95 in-te-ger pro-gram-ming prob-lems\T1/ptm/m/n/10.95 , are solved by ap -ply-ing branch&bound [437] Overfull \hbox (34.536pt too wide) in paragraph at lines 18078--18079 \T1/ptm/m/n/10.95 to stop pre-ma-turely when the ex-e-cu-tion takes too much ti me. One can set \T1/pcr/m/n/10.95 lp_timelimit Overfull \hbox (17.59721pt too wide) in paragraph at lines 18078--18079 \T1/ptm/m/n/10.95 find an op-ti-mal so-lu-tion. Other ways are to set \T1/pcr/m /n/10.95 lp_nodelimit \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 lp_depthlimit [438] Overfull \hbox (37.48225pt too wide) in paragraph at lines 18092--18093 \T1/ptm/m/n/10.95 egy is \T1/pcr/m/n/10.95 lp_hybrid \T1/ptm/m/n/10.95 : be-for e an in-cum-bent so-lu-tion is found, solver uses \T1/pcr/m/n/10.95 lp_depthfir st [439] Overfull \hbox (34.38353pt too wide) in paragraph at lines 18114--18116 \T1/ptm/m/n/10.95 fore an op-ti-mal so-lu-tion is found. When \T1/pcr/m/n/10.95 lp_nodeselect \T1/ptm/m/n/10.95 is set to \T1/pcr/m/n/10.95 lp_breadthfirst Overfull \hbox (24.72533pt too wide) in paragraph at lines 18114--18116 \T1/ptm/m/n/10.95 the solver needs to ex-am-ine only about 20000 sub-prob-lems, but when set to \T1/pcr/m/n/10.95 lp_hybrid Overfull \hbox (30.24437pt too wide) in paragraph at lines 18121--18122 []\T1/ptm/b/n/10.95 Displaying de-tailed out-put.[] \T1/ptm/m/n/10.95 By typ-i ng \T1/pcr/m/n/10.95 lp_verbose=true \T1/ptm/m/n/10.95 or sim-ply \T1/pcr/m/n/1 0.95 lp_verbose Overfull \hbox (60.47949pt too wide) in paragraph at lines 18124--18124 []\T1/pcr/m/n/10.95 : nodes active, lower bound: [, integrality gap: ][] [440] Overfull \hbox (73.61948pt too wide) in paragraph at lines 18143--18143 []\T1/pcr/m/n/10.95 Applying branch&bound method to find integer feasible solut ions...[] Overfull \hbox (1.76942pt too wide) in paragraph at lines 18155--18156 []\T1/ptm/m/n/10.95 Specifying \T1/pcr/m/n/10.95 lp_method=float \T1/ptm/m/n/10 .95 forces \T1/pcr/m/n/10.95 lpsolve \T1/ptm/m/n/10.95 to use floating-point so lver. Overfull \hbox (42.39888pt too wide) in paragraph at lines 18155--18156 \T1/ptm/m/n/10.95 plex solver pa-ram-e-ters can be con-trolled by set-ting \T1/ pcr/m/n/10.95 lp_timelimit\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 lp_gaptolerance Overfull \hbox (1.40776pt too wide) in paragraph at lines 18157--18158 []\T1/ptm/m/n/10.95 Setting \T1/pcr/m/n/10.95 lp_method \T1/ptm/m/n/10.95 to \T 1/pcr/m/n/10.95 lp_interiorpoint \T1/ptm/m/n/10.95 uses primal-dual interior-po int [441]>] Overfull \hbox (40.76952pt too wide) in paragraph at lines 18178--18179 \T1/pcr/m/n/10.95 [2255937.4968,[x1=688490.254009,x2=2716245.85277,x3=1680.05] ] Overfull \hbox (34.61482pt too wide) in paragraph at lines 18184--18185 \T1/ptm/m/n/10.95 by in-clud-ing \T1/pcr/m/n/10.95 lp_method=lp_interiorpoint \ T1/ptm/m/n/10.95 af-ter \T1/pcr/m/n/10.95 assume=lp_nonnegative \T1/ptm/m/n/10. 95 : Overfull \hbox (35.10065pt too wide) in paragraph at lines 18193--18194 []\T1/ptm/m/n/10.95 For ex-am-ple, as-sume that \T1/pcr/m/n/10.95 somefile.lp \ T1/ptm/m/n/10.95 file is stored in di-rec-tory \T1/pcr/m/n/10.95 /path/to/file Overfull \hbox (7.91956pt too wide) in paragraph at lines 18215--18215 []\T1/pcr/m/n/10.95 Reading problem data from '/path/to/file/somefile.lp'...[] [442] [188 <./xcas-locus2.png Overfull \hbox (1.34956pt too wide) in paragraph at lines 18224--18224 \T1/pcr/m/n/10.95 lpsolve("/path/to/file/somefile.lp",x2=1..8,x3=-10..10, Underfull \hbox (badness 2582) in paragraph at lines 18234--18234 [][][][][][][]\T1/ptm/m/n/9 See \T1/pcr/m/n/9 https://www.gnu.org/software/glpk / \T1/ptm/m/n/9 for in-stalling GLPK in Linux or [443] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18263--18263 []\T1/pcr/m/n/10.95 C:=[[36,40,32,43,29],[28,27,29,40,38],[34,35,41,29,31], [444] [445] [446] Overfull \hbox (77.12352pt too wide) in paragraph at lines 18448--18449 \T1/pcr/m/n/10.95 +infinity \T1/ptm/m/n/10.95 for $\OML/cmm/m/it/10.95 b$\T1/pt m/m/n/10.95 . Also, pa-ram-e-ter \T1/pcr/m/n/10.95 vars \T1/ptm/m/n/10.95 may b e en-tered as e.g. \T1/pcr/m/n/10.95 [x1=a1,x2=a2,...,xn=an]\T1/ptm/m/n/10.95 , [447] [448] Overfull \hbox (5.18549pt too wide) in paragraph at lines 18537--18538 []\T1/ptm/m/n/10.95 The ob-jec-tive is min-i-mized by de-fault, un-less \T1/pcr /m/n/10.95 maximize \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 maximize=true [449] Overfull \hbox (14.48955pt too wide) in paragraph at lines 18551--18552 \T1/pcr/m/n/10.95 [-1.73205080757,[x1=-4.77142305945e-08,x2=1.73205080757]] Overfull \hbox (1.34956pt too wide) in paragraph at lines 18581--18583 \T1/pcr/m/n/10.95 [x1<=1,x2<=2,x3<=3,x4<=4,x5<=5],assume=nlp_nonnegative) [450]> Overfull \hbox (29.65047pt too wide) in paragraph at lines 18625--18630 \T1/pcr/m/n/10.95 frobenius_norm \T1/ptm/m/n/10.95 re-turns the Frobe-nius norm of the ma-trix; namely $[]$. 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[452] Underfull \hbox (badness 10000) in paragraph at lines 18695--18704 Overfull \hbox (9.02397pt too wide) in paragraph at lines 18712--18714 []\T1/pcr/m/n/10.95 matrix_norm(A,inf) \T1/ptm/m/n/10.95 is the same as \T1/pcr /m/n/10.95 linfnorm(A) \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 rownorm(A)\T1/pt m/m/n/10.95 . [453] [454] [455] Overfull \hbox (47.33951pt too wide) in paragraph at lines 18863--18863 \T1/pcr/m/n/10.95 [[0.324869129433,0,0],[0,4.21431974338,0],[0,0,1.46081112719 ]] Overfull \hbox (6.28636pt too wide) in paragraph at lines 18867--18874 \T1/ptm/m/n/10.95 If $\OML/cmm/m/it/10.95 A$ \T1/ptm/m/n/10.95 is a di-ag-o-nal -iz-able ma-trix, \T1/pcr/m/n/10.95 egv \T1/ptm/m/n/10.95 (or \T1/pcr/m/n/10.95 eigenvectors eigenvects eigVc\T1/ptm/m/n/10.95 ) [456] Overfull \hbox (22.15463pt too wide) in paragraph at lines 18923--18923 \T1/pcr/m/n/10.95 [[1,1,2],[0,0,-1],[0,1,2]],[[0,0,-1],[1,0,-3],[0,1,4]] Overfull \hbox (9.01465pt too wide) in paragraph at lines 18932--18932 \T1/pcr/m/n/10.95 [[-1,0,0],[1,1,1],[0,0,1]],[[1,0,0],[0,0,2],[0,1,0]] [457] Overfull \hbox (9.37367pt too wide) in paragraph at lines 18944--18948 \T1/ptm/m/n/10.95 turns or-thog-o-nal eigen-vec-tors (not al-ways of norm equal to 1) i.e. \T1/pcr/m/n/10.95 tran(P)*P Overfull \hbox (41.86461pt too wide) in paragraph at lines 18951--18952 \T1/pcr/m/n/10.95 [[1,-1,1/2],[1,0,-1],[1,1,1/2]],[[6,0,0],[0,3,0],[0,0,3]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 18965--18965 \T1/pcr/m/n/10.95 [[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]] [458] Overfull \hbox (9.37367pt too wide) in paragraph at lines 19003--19007 \T1/ptm/m/n/10.95 turns or-thog-o-nal eigen-vec-tors (not al-ways of norm equal to 1) i.e. \T1/pcr/m/n/10.95 tran(P)*P Overfull \hbox (41.86461pt too wide) in paragraph at lines 19010--19011 \T1/pcr/m/n/10.95 [[1,-1,1/2],[1,0,-1],[1,1,1/2]],[[6,0,0],[0,3,0],[0,0,3]] [459] Overfull \hbox (369.26912pt too wide) in paragraph at lines 19016--19016 \T1/pcr/m/n/10.95 [[1,0,0],[0,1,1],[1,1,-1]],[[-1,0,0],[1,1,1],[0,-sqrt(2)-1,s qrt(2)-1]],[[1,0,0],[0,-(sqrt(2)),0],[0,0,sqrt(2)]] Overfull \hbox (27.62953pt too wide) in paragraph at lines 19032--19032 \T1/pcr/m/n/10.95 [[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]] Overfull \hbox (67.04948pt too wide) in paragraph at lines 19048--19049 \T1/pcr/m/n/10.95 [[(3^^Bn+(-1)^^Bn)/2,(3^^Bn-(-1)^^Bn)/2],[(3^^Bn-(-1)^^Bn)/2 ,(3^^Bn+(-1)^^Bn)/2]] Overfull \hbox (55.58382pt too wide) in paragraph at lines 19051--19053 \T1/ptm/m/n/10.95 Notice that \T1/pcr/m/n/10.95 jordan([[1,2],[2,1]]) \T1/ptm/m /n/10.95 re-turns \T1/pcr/m/n/10.95 [[1,-1],[1,1]],[[3,0],[0,-1]]\T1/ptm/m/n/10 .95 . [460] Overfull \hbox (76.62883pt too wide) in paragraph at lines 19079--19079 []\T1/ptm/b/n/12 Characteristic poly-no-mial us-ing Hes-sen-berg al-go-rithm : \T1/pcr/m/n/12 pcar_hessenberg [461] [462] Overfull \hbox (1.16068pt too wide) in paragraph at lines 19186--19194 \T1/ptm/m/n/10.95 size $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/ m/n/10.95 1$ \T1/ptm/m/n/10.95 bor-dered with $\OT1/cmr/m/n/10.95 [0\OML/cmm/m/ it/10.95 ; \OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 ::; \OT1/cmr/m/n/10.95 0\OML /cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10 .95 ]$ \T1/ptm/m/n/10.95 as first row, and with $\OT1/cmr/m/n/10.95 [\OMS/cmsy/ m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.9 5 a[]; ::::; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 ] $ [463]>] [464] [190 <./xcas-loc us4.png Overfull \hbox (21.05954pt too wide) in paragraph at lines 19235--19235 \T1/pcr/m/n/10.95 [[13,9,7],[6,4,3],[20,15,12]],[[3,0,30],[0,12,0],[0,0,60]] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 19263. 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[489] [192 <./xcas-envelope1.png [490] [491] [492] Underfull \hbox (badness 10000) in paragraph at lines 20464--20466 [493] Overfull \hbox (21.05954pt too wide) in paragraph at lines 20529--20529 [] \T1/pcr/m/n/10.95 End reduction [[-4,0,0, -2], [0, -4,0,10], [0,0, -4, -2]][ ] Overfull \hbox (83.4212pt too wide) in paragraph at lines 20545--20545 []\T1/ptm/b/n/12 Solving a lin-ear sys-tem us-ing the Ja-cobi it-er-a-tion meth od: \T1/pcr/b/n/12 jacobi_linsolve [494] Overfull \hbox (4.91638pt too wide) in paragraph at lines 20578--20578 []\T1/ptm/b/n/12 Solving a lin-ear sys-tem us-ing the Gauss-Seidel it-er-a-tion method: [495] [496] [497] [498] Underfull \hbox (badness 10000) in paragraph at lines 20795--20803 Overfull \hbox (20.92664pt too wide) in paragraph at lines 20830--20833 \T1/pcr/m/n/10.95 c_0, c_1 \T1/ptm/m/n/10.95 are the con-stants of in-te-gra-ti on : \T1/pcr/m/n/10.95 y(0)=c_0 \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y'(0)=c _1\T1/ptm/m/n/10.95 . 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[514] [515] Overfull \hbox (13.53424pt too wide) in paragraph at lines 21570--21578 \T1/ptm/m/n/10.95 where $\OML/cmm/m/it/10.95 ^^O$ \T1/ptm/m/n/10.95 is de-fined by \T1/pcr/m/n/10.95 epsilon \T1/ptm/m/n/10.95 in the \T1/pcr/m/n/10.95 cas \T 1/ptm/m/n/10.95 con-fig-u-ra-tion (\T1/pcr/m/n/10.95 Cfg \T1/ptm/m/n/10.95 menu , or \T1/pcr/m/n/10.95 cas_setup [516] [517] [518] Chapter 6. Overfull \hbox (34.74464pt too wide) in paragraph at lines 21669--21669 []\T1/ptm/b/n/14.4 Computing the cur-va-ture and re-lated val-ues: \T1/pcr/b/n/ 14.4 curvature, [519] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [520] Overfull \hbox (200.52504pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 6.2. COMPUTING THE CURVATURE AND RELATED VALUES: \T1/pcr/m/ sl/10.95 CURVATURE, OSCULATING_CIRCLE, EVOLUTE \T1/ptm/m/n/10.95 521 [521] [522] Chapter 7. 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GRAPH OF A FUNCTION : \T1/pcr/m/n/10.95 PLOTFUNC FUNCP LOT DRAWFUNC GRAPH \T1/ptm/m/n/10.95 529 [529]] [199 <./xcas-3dline1.png Overfull \hbox (15.1681pt too wide) in paragraph at lines 22209--22221 \T1/pcr/m/n/10.95 plot3d(f(x,y),x,y) \T1/ptm/m/n/10.95 (resp. \T1/pcr/m/n/10.95 plot3d([f(u,v),g(u,v),h(u,v)],u,v)\T1/ptm/m/n/10.95 ) Overfull \hbox (45.30249pt too wide) in paragraph at lines 22209--22221 \T1/ptm/m/n/10.95 syn-tax \T1/pcr/m/n/10.95 plot3d(f(x,y),x=x0..x1,y=y0..y1) \T 1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 plot3d(f,x0..x1,y0..y1) [530] [531]>] [532] [200 <./xcas-3dline2.png>] [533] ( FP-DIV ) ( FP-DIV ) [201 <./xcas-3dline3.png Overfull \hbox (32.08035pt too wide) in paragraph at lines 22378--22378 []\T1/ptm/b/n/14.4 Graph of in-equal-i-ties with 2 vari-ables : \T1/pcr/m/n/14. 4 plotinequation Overfull \hbox (47.33951pt too wide) in paragraph at lines 22382--22385 \T1/pcr/m/n/10.95 plotinequation([f1(x,y) ] Overfull \hbox (30.54086pt too wide) in paragraph at lines 22465--22465 []\T1/ptm/b/n/14.4 Graph of the area be-low a curve : \T1/pcr/m/n/14.4 plotarea areaplot Overfull \hbox (18.32213pt too wide) in paragraph at lines 22477--22486 \T1/pcr/m/n/10.95 trapezoid,rectangle_left,rectangle_right,middle_point\T1/ptm/ m/n/10.95 . 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GRAPH OF A RECURRENT SEQUENCE : \T1/pcr/m/n/10.95 PLO TSEQ SEQPLOT GRAPHE_SUITE \T1/ptm/m/n/10.95 543 [543] <./xcas-3dvector3.png>] Overfull \hbox (14.20987pt too wide) in paragraph at lines 22794--22794 []\T1/ptm/b/n/14.4 Plotting a so-lu-tion of a dif-fer-en-tial equa-tion : \T1/p cr/m/n/14.4 plotode Overfull \hbox (2.18507pt too wide) in paragraph at lines 22831--22831 []\T1/ptm/b/n/14.4 Interactive plot-ting of so-lu-tions of a dif-fer-en-tial eq ua- Overfull \hbox (52.12758pt too wide) in paragraph at lines 22831--22831 \T1/ptm/b/n/14.4 tion : \T1/pcr/m/n/14.4 interactive_plotode interactive_odeplo t Overfull \hbox (0.75694pt too wide) in paragraph at lines 22832--22842 \T1/pcr/m/n/10.95 interactive_plotode(f(t,y),[t,y]) \T1/ptm/m/n/10.95 draws the tan-gent field of the dif- [544] [207 <./xc as-3dparallel.png Overfull \hbox (1.34956pt too wide) in paragraph at lines 22876--22877 \T1/pcr/m/n/10.95 animate(sin(a*x),x=-pi..pi,a=-2..2,frames=10,color=red) Overfull \hbox (315.36624pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 7.20. INTERACTIVE PLOTTING OF SOLUTIONS OF A DIFFERENTIAL E QUATION : \T1/pcr/m/n/10.95 INTERACTIVE_PLOTODE INTERACTIVE_ODEPLOT \T1/ptm/m/n /10.95 545 [545]>] Overfull \hbox (7.91956pt too wide) in paragraph at lines 22925--22925 \T1/pcr/m/n/10.95 animation(seq(plotfunc([cos(a*x),sin(a*x)],x=0..2*pi/a), [546] Overfull \hbox (7.91956pt too wide) in paragraph at lines 22941--22941 \T1/pcr/m/n/10.95 animation(seq(plotode(sin(x*y),[x,y],[0,a]),a,-4,4,0.5)) [547] [208 <./xcas-3dparallel2.png [548] [549] [550]>] Chapter 8. [551] [209 <./xcas-3dparallel3.png [552] Overfull \hbox (4.02478pt too wide) in paragraph at lines 23167--23169 []\T1/ptm/m/n/10.95 Like \T1/pcr/m/n/10.95 stddev\T1/ptm/m/n/10.95 , the \T1/pc r/m/n/10.95 stddevp \T1/ptm/m/n/10.95 com-mand can take a sec-ond ar-gu-ment fo r weights. [553] [554]>] Overfull \hbox (10.28056pt too wide) in paragraph at lines 23295--23302 \T1/ptm/m/n/10.95 A boxwhisker is a graph-i-cal view of the quar-tiles of a lis t of num-bers. The boxwhisker ( FP-DIV ) ( FP-DIV ) [555] [210 <./xcas-3dparallel4.png Overfull \hbox (7.91956pt too wide) in paragraph at lines 23388--23389 \T1/pcr/m/n/10.95 histogram([[1.5..1.65,50],[1.65..1.7,20],[1.7..1.8,30]]) ( FP-DIV ) ( FP-DIV>] ) [556] [211 <./xcas-3dperp1.png ( FP-DIV>] ) ( FP-DIV ) [212 <./xcas-3dper p2.png>] [557] [213 <./xcas-3dorthog1.png Overfull \hbox (100.11449pt too wide) in paragraph at lines 23468--23468 []\T1/ptm/b/n/12 Cumulative fre-quen-cies: \T1/pcr/b/n/12 cumulated_frequencies [] frequences_cumulees[] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.91956pt too wide) in paragraph at lines 23508--23509 \T1/pcr/m/n/10.95 cumulated_frequencies([[1..2,03],[2..4,0.4],[4..5,0.3]]) ( FP-DIV ) ( FP-DIV ) [558>]] Overfull \hbox (9.56572pt too wide) in paragraph at lines 23515--23519 []\T1/ptm/m/n/10.95 If the ma-trix given to \T1/pcr/m/n/10.95 cumulated_frequen cies \T1/ptm/m/n/10.95 has more than two columns, ( FP-DIV [214 ) ( FP-DIV ) <./xcas-3dorthog2.png ( FP-DIV>] ) ( FP-DIV ) [559] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23553--23554 \T1/pcr/m/n/10.95 bar_plot([[2,"xyz","abc"],["A",2,5],["B",5,6],["C",6,6]]) ( FP-DIV [215 <./xcas -3dcomperp.png ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [216 <./xcas-3dplane1.png Overfull \hbox (21.05954pt too wide) in paragraph at lines 23575--23576 \T1/pcr/m/n/10.95 camembert([[2,"xyz","abc"],["A",2,5],["B",5,6],["C",6,6]]) ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (136.27075pt too wide) in paragraph at lines 23584--23584 []\T1/ptm/b/n/12 Covariance and cor-re-la-tion: \T1/pcr/b/n/12 covariance[] cor relation[] covariance_correlation[] Overfull \hbox (1.8058pt too wide) in paragraph at lines 23586--23592 \T1/ptm/m/n/10.95 The co-vari-ance of two ran-dom vari-ables mea-sures their co n-nect-ed-ness; i.e., whether [560] Overfull \hbox (47.33951pt too wide) in paragraph at lines 23661--23662 \T1/pcr/m/n/10.95 1,4,9,16],[1,3,0,5,0],[2,0,1,0,0],[3,0,0,5,0],[4,0,0,0,2]],- 1) [561 [217] <./xcas-3dplane2.png ( FP-DIV ) ( FP-DIV ) >] ( FP-DIV ) ( FP-DIV ) [218 <./xcas-3dspheretan.png [562]>] Overfull \hbox (92.63928pt too wide) in paragraph at lines 23737--23737 []\T1/ptm/b/n/12 Polygonal paths: \T1/pcr/b/n/12 polygonplot[] ligne_polygonale [] linear_interpolate[] ( FP-DIV [219 <./xcas-3dgraphtan.png ) ( FP-DIV ) Overfull \hbox (71.11533pt too wide) in paragraph at lines 23775--23787 []\T1/ptm/m/n/10.95 If you want to get co-or-di-nates on the polyg-o-nal path, you can use the \T1/pcr/m/n/10.95 linear_interpolate [563]>] ( FP-DIV [220 <./xcas-3dtri angle.png ) ( FP-DIV ) >] Overfull \hbox (55.60684pt too wide) in paragraph at lines 23823--23823 []\T1/ptm/b/n/12 Linear re-gres-sion: \T1/pcr/b/n/12 linear_regression[] linear _regression_plot[] [564] [221 <./xcas-3disotriangle.png ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (154.95456pt too wide) in paragraph at lines 23866--23866 []\T1/ptm/b/n/12 Exponential re-gres-sion: \T1/pcr/b/n/12 exponential_regressio n[] exponential_regression_plot[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23876--23877 \T1/pcr/m/n/10.95 evalf(exponential_regression([[1,1],[2,4],[3,9],[4,16]])) Overfull \hbox (27.67761pt too wide) in paragraph at lines 23891--23893 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 exponential_regression_plot\T1/ptm/m/n/10.95 ; [565] [222 <./xcas-3disotriangle2.png ( FP-DIV ) ( FP-DIV>] ) [223 <./xcas-3drttriangle.png>] Overfull \hbox (156.9346pt too wide) in paragraph at lines 23904--23904 []\T1/ptm/b/n/12 Logarithmic re-gres-sion: \T1/pcr/b/n/12 logarithmic_regressio n[] logarithmic_regression_plot[] Overfull \hbox (14.48955pt too wide) in paragraph at lines 23914--23915 \T1/pcr/m/n/10.95 evalf(logarithmic_regression([[1,1],[2,4],[3,9],[4,16]])) Overfull \hbox (9.28842pt too wide) in paragraph at lines 23927--23929 \T1/ptm/m/n/10.95 so the best fit ex-po-nen-tial curve will be $\OML/cmm/m/it/1 0.95 y \OT1/cmr/m/n/10.95 = 10\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 150645000 2 [](\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr /m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 564824055818$\T1/ptm/m/n/10 .95 . Overfull \hbox (27.67761pt too wide) in paragraph at lines 23930--23932 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 exponential_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV [224 <./xcas-3drttriangle2.png ) ( FP-DIV ) [566]>] Overfull \hbox (38.83116pt too wide) in paragraph at lines 23943--23943 []\T1/ptm/b/n/12 Power re-gres-sion: \T1/pcr/b/n/12 power_regression[] power_re gression_plot[] ( FP-DIV ) ( FP-DIV [225 <./xcas-3 drttriangle3.png ) Overfull \hbox (136.30681pt too wide) in paragraph at lines 23982--23982 []\T1/ptm/b/n/12 Polynomial re-gres-sion: \T1/pcr/b/n/12 polynomial_regression[ ] polynomial_regression_plot[] Overfull \hbox (61.30038pt too wide) in paragraph at lines 23984--23992 \T1/ptm/m/n/10.95 coordinates, or sim-ply by a list of points, as well as a pow er $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/10.95 , the \T1/pcr/m/n/10.95 polynomial_ regression [567]>] Overfull \hbox (21.10762pt too wide) in paragraph at lines 24009--24011 []\T1/ptm/m/n/10.95 To plot the curve, you can use the com-mand \T1/pcr/m/n/10. 95 polynomial_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV [226 <./xcas-3dequitriangle.png ) Overfull \hbox (90.4067pt too wide) in paragraph at lines 24020--24020 []\T1/ptm/b/n/12 Logistic re-gres-sion: \T1/pcr/b/n/12 logistic_regression[] lo gistic_regression_plot[] [568] Overfull \hbox (60.47949pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 Correlation 0.780548607383, Estimated total P=-0.1559139 78495[] Overfull \hbox (93.32945pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 Returning estimated Pcumul, Pinstant, Ptotal, Pinstantma x, tmax, R[] Overfull \hbox (159.02937pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 [-0.155913978495/(1+exp(-0.0554152581707*x+0.14008851334 4+3.14159265359*i)),[] Overfull \hbox (218.1593pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 -0.00161022271237/(1+cos((-i)*(-0.0554152581707*x+0.140 088513344+3.14159265359*i))),[] Overfull \hbox (191.87933pt too wide) in paragraph at lines 24063--24063 [] \T1/pcr/m/n/10.95 -0.155913978495,-0.000805111356186,2.52797727501+56.691 8346552*i,0.780548607383][] Overfull \hbox (45.71123pt too wide) in paragraph at lines 24065--24067 []\T1/ptm/m/n/10.95 You can plot the lo-gis-tic equa-tion with the com-mand \T1 /pcr/m/n/10.95 logistic_regression_plot\T1/ptm/m/n/10.95 ; ( FP-DIV ) ( FP-DIV ) Overfull \hbox (13.35335pt too wide) in paragraph at lines 24078--24078 []\T1/ptm/b/n/12 Producing uni-formly dis-tributed ran-dom num-bers: \T1/pcr/b/ n/12 rand[] random[] [569] [570]>] [227 <./xcas-3dsquare.png Overfull \hbox (67.01683pt too wide) in paragraph at lines 24222--24222 []\T1/ptm/b/n/12 Producing ran-dom num-bers with the bi-no-mial dis-tri-bu-tion : \T1/pcr/b/n/12 randbinomial[] Overfull \hbox (35.0507pt too wide) in paragraph at lines 24241--24246 \T1/ptm/m/n/10.95 prob-a-bil-ity that one of sev-eral mu-tu-ally ex-clu-sive ev ents oc-curs), the \T1/pcr/m/n/10.95 randmultinomial [571]> ] [228 <./xcas-3drhombus.png>] Overfull \hbox (42.9092pt too wide) in paragraph at lines 24268--24268 []\T1/ptm/b/n/12 Producing ran-dom num-bers with a Pois-son dis-tri-bu-tion: \T 1/pcr/b/n/12 randpoisson[] Overfull \hbox (20.20529pt too wide) in paragraph at lines 24288--24288 []\T1/ptm/b/n/12 Producing ran-dom num-bers with a nor-mal dis-tri-bu-tion: \T1 /pcr/b/n/12 randnorm[] [572] [229 <./xcas-3drhombus2.png Overfull \hbox (8.8468pt too wide) in paragraph at lines 24357--24360 []\T1/ptm/m/n/10.95 Given three in-te-gers $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/1 0.95 , $\OML/cmm/m/it/10.95 p$ \T1/ptm/m/n/10.95 and $\OML/cmm/m/it/10.95 a$\T1 /ptm/m/n/10.95 , \T1/pcr/m/n/10.95 randmatrix($\OML/cmm/m/it/10.95 n$\T1/pcr/m/ n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 a$\T1/p cr/m/n/10.95 ) [573] Overfull \hbox (284.95432pt too wide) in paragraph at lines 24381--24382 \T1/pcr/m/n/10.95 [[0.90923402831,0.594602484722,0.250897713937],[0.3326116949 32,0.145975249354,0.543010003399]] Overfull \hbox (62.51622pt too wide) in paragraph at lines 24385--24396 [] Overfull \hbox (30.94113pt too wide) in paragraph at lines 24385--24396 \T1/ptm/m/n/10.95 In this case, the third ar-gu-ment must be one of \T1/pcr/m/n /10.95 'rand($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1 /pcr/m/n/10.95 'binomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/ it/10.95 p$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (18.45857pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'binomial,$\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm /m/it/10.95 p$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'randbin omial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/ m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'multinomial($\OML/cmm/m/it/1 0.95 P$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 K$\T1/pcr/m/n/10.95 )'\T1/ptm/m/ n/10.95 , Overfull \hbox (25.8865pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'multinomial,$\OML/cmm/m/it/10.95 P$\T1/pcr/m/n/10.95 ,$\OML/ cmm/m/it/10.95 K$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'rand multinomial($\OML/cmm/m/it/10.95 P$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 K$\T 1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'poisson($\OML/cmm/m/it /10.95 ^^U$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (46.1609pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'poisson, $\OML/cmm/m/it/10.95 ^^U$\T1/pcr/m/n/10.95 '\T1/ptm /m/n/10.95 , \T1/pcr/m/n/10.95 'randpoisson($\OML/cmm/m/it/10.95 ^^U$\T1/pcr/m/ n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'normald($\OML/cmm/m/it/10.95 ^ ^V$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/ 10.95 , \T1/pcr/m/n/10.95 'normald,$\OML/cmm/m/it/10.95 ^^V$\T1/pcr/m/n/10.95 , $\OML/cmm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , Overfull \hbox (52.06851pt too wide) in paragraph at lines 24385--24396 \T1/pcr/m/n/10.95 'randnorm($\OML/cmm/m/it/10.95 ^^V$\T1/pcr/m/n/10.95 ,$\OML/c mm/m/it/10.95 ^^[$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'ex p($\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10 .95 'exp,$\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 '\T1/ptm/m/n/10.95 , \T1/pcr/ m/n/10.95 'randexp($\OML/cmm/m/it/10.95 a$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 'fisher($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cm m/m/it/10.95 m$\T1/pcr/m/n/10.95 )'\T1/ptm/m/n/10.95 , Overfull \hbox (231.29929pt too wide) in paragraph at lines 24408--24409 \T1/pcr/m/n/10.95 [[2.6324726358,0.539273367446,0.793750476229],[2.24729803442 ,1.28189228187,2.25750809791]] [574]>] [575] [230 <./xcas-3drec t.png [576] [577] ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) [578] [231 <./xcas-3drect2.png ( FP-DIV ) ( FP-DIV ) Overfull \hbox (4.66519pt too wide) in paragraph at lines 24636--24637 \T1/ptm/m/n/10.95 needed to pre-vent its eval-u-a-tion when pass-ing it to \T1/ pcr/m/n/10.95 randvector \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 randmatrix\T1/p tm/m/n/10.95 . [579] Overfull \hbox (24.48555pt too wide) in paragraph at lines 24648--24649 \T1/ptm/m/n/10.95 To save typ-ing, one can de-fine Z with \T1/pcr/m/n/10.95 eva l$\OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 ^^C\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n /10.95 0)$ \T1/ptm/m/n/10.95 and pass \T1/pcr/m/n/10.95 eval$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Z; \OT1/cmr/m/n/10.95 1)$ \T1/ptm/m/n/10.95 to \T1/pcr/m/ n/10.95 randvector Overfull \hbox (28.7865pt too wide) in paragraph at lines 24710--24710 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the bi-no -mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 binomial_cdf[] Overfull \hbox (36.52168pt too wide) in paragraph at lines 24712--24718 \T1/ptm/m/n/10.95 com-mand; \T1/pcr/m/n/10.95 binomial_cdf($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/ 10.95 x$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/10.95 , which in this case will equal \T 1/pcr/m/n/10.95 binomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OT1/cmr/m/ n/10.95 0$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) [580>]] Overfull \hbox (19.02208pt too wide) in paragraph at lines 24727--24732 \T1/ptm/m/n/10.95 You can give \T1/pcr/m/n/10.95 binomial_cdf \T1/ptm/m/n/10.95 an ad-di-tional ar-gu-ment; \T1/pcr/m/n/10.95 binomial_cdf($\OML/cmm/m/it/10.9 5 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it /10.95 x$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) Overfull \hbox (5.29236pt too wide) in paragraph at lines 24727--24732 \T1/pcr/m/n/10.95 = Prob($\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cm m/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/10.95 , which in this case would be \T1/pcr/m/n/10.95 binomial($\O ML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,ceil($\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/ 10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) Overfull \hbox (16.77452pt too wide) in paragraph at lines 24743--24743 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 binomial_icdf[] Overfull \hbox (100.98831pt too wide) in paragraph at lines 24759--24762 \T1/ptm/m/n/10.95 Note that \T1/pcr/m/n/10.95 binomial_cdf(4,0.5,3) \T1/ptm/m/n /10.95 is $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 9375$\T1 /ptm/m/n/10.95 , big-ger than $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cm r/m/n/10.95 9$\T1/ptm/m/n/10.95 , while \T1/pcr/m/n/10.95 binomial_cdf(4,0.5,2) Overfull \hbox (41.9593pt too wide) in paragraph at lines 24766--24766 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the neg-a-tive bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 negbinomial[] Overfull \hbox (63.05519pt too wide) in paragraph at lines 24767--24773 \T1/ptm/m/n/10.95 given by the neg-a-tive bi-no-mial dis-tri-bu-tion, and can b e com-puted with \T1/pcr/m/n/10.95 negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m /n/10.95 ,$\OML/cmm/m/it/10.95 k$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/ pcr/m/n/10.95 )\T1/ptm/m/n/10.95 . Overfull \hbox (73.06837pt too wide) in paragraph at lines 24787--24796 \T1/ptm/m/n/10.95 The sec-ond for-mula makes sense even if $\OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 is neg-a-tive, and you can write \T1/pcr/m/n/10.95 negbin omial$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n; k; p\OT1/cmr/m/n/10.95 ) = [581] [232 <./xcas-3dpar.png Overfull \hbox (8.90561pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 negbinomial_cdf($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\O ML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ) = Prob($\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 x$ \T1/pcr/m/n/10.95 ) = negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\O T1/cmr/m/n/10.95 0$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) Overfull \hbox (27.21269pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 + ...+ negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 , floor($\OML/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr /m/n/10.95 )\T1/ptm/m/n/10.95 , and \T1/pcr/m/n/10.95 negbinomial_cdf($\OML/cmm /m/it/10.95 n$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ,$\OM L/cmm/m/it/10.95 x$\T1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) Overfull \hbox (138.8707pt too wide) in paragraph at lines 24800--24809 \T1/pcr/m/n/10.95 = Prob($\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cm m/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y$\T1/pcr/m/n/10.95 ) = negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,ceil($\OML/cmm/m/it/1 0.95 x$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 ) + $[] $ + negbinomial($\OML/cmm/m/it/10.95 n$\T1/pcr/m/n/10.95 ,floor($\OML/cmm/m/it/10. 95 y$\T1/pcr/m/n/10.95 ),$\OML/cmm/m/it/10.95 p$\T1/pcr/m/n/10.95 )\T1/ptm/m/n/ 10.95 . Overfull \hbox (77.27287pt too wide) in paragraph at lines 24820--24820 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the neg-a-tive bi-no-mial dis-tri-bu-tion: \T1/pcr/b/n/10.95 negbinomial_icdf[] [582] Overfull \hbox (15.90944pt too wide) in paragraph at lines 24883--24883 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Pois- son dis-tri-bu-tion: \T1/pcr/b/n/10.95 poisson_cdf[] Overfull \hbox (3.89746pt too wide) in paragraph at lines 24913--24913 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Pois-son d is-tri-bu-tion: \T1/pcr/b/n/10.95 poisson_icdf[] Overfull \hbox (26.23586pt too wide) in paragraph at lines 24932--24932 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for a nor-mal dis-t ri-bu-tion: \T1/pcr/b/n/10.95 normald[] loi_normal[] [583] Overfull \hbox (5.93495pt too wide) in paragraph at lines 24982--24985 \T1/ptm/m/n/10.95 You can also leave off the mean and stan-dard de-vi-a-tion, i n which case \T1/pcr/m/n/10.95 normal_cdf Overfull \hbox (4.28337pt too wide) in paragraph at lines 25012--25018 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with Prob($\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^T [584] Overfull \hbox (8.22661pt too wide) in paragraph at lines 25042--25046 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 UTPN \T1/ptm/m/n/10.95 (the Up-per Tail Prob-a-bil-ity - Nor-mal dis-tri-bu-tion) will com-pute $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X > Overfull \hbox (15.48264pt too wide) in paragraph at lines 25071--25071 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for Stu-dent's dis- tri-bu-tion: \T1/pcr/b/n/10.95 student[] studentd[] [585]>] Overfull \hbox (8.16774pt too wide) in paragraph at lines 25104--25104 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for Stu-dent' s dis-tri-bu-tion: \T1/pcr/b/n/10.95 student_cdf[] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\chi' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 25169. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 25169. [586] [233 <./xcas-3dquad .png Overfull \hbox (5.57837pt too wide) in paragraph at lines 25202--25202 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the $\OML /cmm/m/it/10.95 ^^_[]$ \T1/ptm/b/n/10.95 dis-tri-bu-tion: \T1/pcr/b/n/10.95 chi square_cdf[] [587] Overfull \hbox (3.17429pt too wide) in paragraph at lines 25268--25268 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Fisher-Snéd écor dis-tri-bu-tion: \T1/pcr/b/n/10.95 fisher[] Overfull \hbox (55.32018pt too wide) in paragraph at lines 25293--25297 \T1/ptm/m/n/10.95 and $\OML/cmm/m/it/10.95 n[]$ \T1/ptm/m/n/10.95 de-grees of f ree-dom at a value $\OML/cmm/m/it/10.95 x$ \T1/ptm/m/n/10.95 is $[]\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 n[]; n[]; x\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/ 10.95 n[]; n[]; x\OT1/cmr/m/n/10.95 ) = Overfull \hbox (38.48785pt too wide) in paragraph at lines 25317--25317 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Fisher-Sné décor dis-tri-bu-tion: \T1/pcr/b/n/10.95 fisher_icdf[] [588] Overfull \hbox (1.20322pt too wide) in paragraph at lines 25334--25334 [][]\T1/ptm/b/n/10.95 The up-per tail cu-mu-la-tive func-tion for the Fisher-Sn édécor dis-tri-bu-tion: \T1/pcr/b/n/10.95 UTPF[] Overfull \hbox (8.9346pt too wide) in paragraph at lines 25366--25366 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the gamma dis-tri-bu-tion: \T1/pcr/b/n/10.95 gammad_cdf[] [589] Overfull \hbox (45.51863pt too wide) in paragraph at lines 25455--25460 \T1/ptm/m/n/10.95 prob-a-bil-ity that the ran-dom vari-able lies be-tween the t wo val-ues; $[] \OT1/cmr/m/n/10.95 = [590] Overfull \hbox (35.5975pt too wide) in paragraph at lines 25508--25508 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion of the ge-o-m et-ric dis-tri-bu-tion: \T1/pcr/b/n/10.95 geometric_cdf[] Overfull \hbox (28.1735pt too wide) in paragraph at lines 25542--25542 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the ge-o-met-r ic dis-tri-bu-tion: \T1/pcr/b/n/10.95 geometric_icdf[] Overfull \hbox (10.74156pt too wide) in paragraph at lines 25561--25561 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Cauchy dis- tri-bu-tion: \T1/pcr/b/n/10.95 cauchy[] cauchyd[] [591] Overfull \hbox (9.99666pt too wide) in paragraph at lines 25594--25594 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Cauch y dis-tri-bu-tion: \T1/pcr/b/n/10.95 cauchy_cdf[] Overfull \hbox (10.49098pt too wide) in paragraph at lines 25641--25647 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/ n/10.95 ^^T [592] Overfull \hbox (26.2027pt too wide) in paragraph at lines 25659--25659 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the uni-form di s-tri-bu-tion: \T1/pcr/b/n/10.95 uniform[] uniformd[] Overfull \hbox (18.8878pt too wide) in paragraph at lines 25676--25676 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the uni-f orm dis-tri-bu-tion: \T1/pcr/b/n/10.95 uniform_cdf[] Overfull \hbox (67.5466pt too wide) in paragraph at lines 25692--25695 []\T1/ptm/m/n/10.95 With an ex-tra ar-gu-ment $\OML/cmm/m/it/10.95 y$ \T1/ptm/m /n/10.95 in $\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 a; b\OT1/cmr/m/n/10.95 ]$\ T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 uniform_cdf \T1/ptm/m/n/10.95 will com-put e $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 a; b; x; y\OT1/cmr/m/n/10.95 ) = Overfull \hbox (6.87582pt too wide) in paragraph at lines 25706--25706 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the uni-form d is-tri-bu-tion: \T1/pcr/b/n/10.95 uniform_icdf[] [593] Overfull \hbox (13.93849pt too wide) in paragraph at lines 25724--25724 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the ex-po-nen-t ial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential[] Overfull \hbox (61.26404pt too wide) in paragraph at lines 25740--25740 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the ex-po -nen-tial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential_cdf[] Overfull \hbox (74.26868pt too wide) in paragraph at lines 25756--25761 \T1/ptm/m/n/10.95 prob-a-bil-ity that the ran-dom vari-able lies be-tween the t wo val-ues; $[] \OT1/cmr/m/n/10.95 = Overfull \hbox (49.25206pt too wide) in paragraph at lines 25771--25771 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the ex-po-nen- tial dis-tri-bu-tion: \T1/pcr/b/n/10.95 exponential_icdf[] [594] Overfull \hbox (24.34123pt too wide) in paragraph at lines 25790--25790 [][]\T1/ptm/b/n/10.95 The prob-a-bil-ity den-sity func-tion for the Weibull dis -tri-bu-tion: \T1/pcr/b/n/10.95 weibull[] weibulld[] Overfull \hbox (17.02634pt too wide) in paragraph at lines 25814--25814 [][]\T1/ptm/b/n/10.95 The cu-mu-la-tive dis-tri-bu-tion func-tion for the Weibu ll dis-tri-bu-tion: \T1/pcr/b/n/10.95 weibull_cdf[] [595] Overfull \hbox (5.01436pt too wide) in paragraph at lines 25865--25865 [][]\T1/ptm/b/n/10.95 The in-verse dis-tri-bu-tion func-tion for the Weibull di s-tri-bu-tion: \T1/pcr/b/n/10.95 weibull_icdf[] Overfull \hbox (10.49098pt too wide) in paragraph at lines 25867--25874 \T1/ptm/m/n/10.95 Given a value $\OML/cmm/m/it/10.95 h$\T1/ptm/m/n/10.95 , the in-verse dis-tri-bu-tion func-tion gives the value of $\OML/cmm/m/it/10.95 x$ \ T1/ptm/m/n/10.95 with $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/ n/10.95 ^^T Overfull \hbox (7.91956pt too wide) in paragraph at lines 25915--25916 \T1/pcr/m/n/10.95 poly1[1/16,1/16,1/16,1/8,1/8,1/8,1/8,1/8,1/16,1/16,1/16] Overfull \hbox (99.89944pt too wide) in paragraph at lines 25925--25926 \T1/pcr/m/n/10.95 poly1[1/35,1/35,2/35,3/35,4/35,4/35,1/7,4/35,4/35,3/35,2/35, 1/35,1/35] [596] Overfull \hbox (67.04948pt too wide) in paragraph at lines 25945--25946 \T1/pcr/m/n/10.95 wilcoxons([1,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18,19 ,20]) Overfull \hbox (80.18947pt too wide) in paragraph at lines 25963--25964 \T1/pcr/m/n/10.95 wilcoxont([1,2,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18, 19,20]) Overfull \hbox (86.75946pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 P-value 9055/176358 (0.0513444244094), alpha=0.05 H0 not rejected[] Overfull \hbox (106.46944pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 wilcoxont([1,3,4,5,7,8,8,12,15,17],[2,6,10,11,13,14,15,18 ,19,20],0.3)[] [597] Overfull \hbox (34.19952pt too wide) in paragraph at lines 25987--25987 [] \T1/pcr/m/n/10.95 P-value 316/4199 (0.0752560133365), alpha=0.3 H0 rejecte d[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 25998--25998 [] \T1/pcr/m/n/10.95 Wilcoxon statistic: 18, p-value: 0.375, confidence level : 0.05[] Overfull \hbox (4.94077pt too wide) in paragraph at lines 26000--26000 []\T1/ptm/b/n/12 Moment gen-er-at-ing func-tions for prob-a-bil-ity dis-tri-bu- tions: \T1/pcr/b/n/12 mgf[] [598] Overfull \hbox (1.07176pt too wide) in paragraph at lines 26072--26073 \T1/ptm/m/n/10.95 and op-tion-ally a se-quence of op-tions. It per-forms ker-ne l den-sity es-ti-ma-tion[][][][][][] (KDE), [599] Overfull \hbox (31.22046pt too wide) in paragraph at lines 26095--26096 []\T1/pcr/m/n/10.95 spline= \T1/ptm/m/n/10.95 : sets \T1/pcr/m/n/10.95 option \T1/ptm/m/n/10.95 to \T1/pcr/m/n/10.95 piecewise \T1/ptm/m/n/10.95 and \ T1/pcr/m/n/10.95 interp \T1/ptm/m/n/10.95 to \T1/pcr/m/n/10.95 \T1/ptm/ m/n/10.95 . Overfull \hbox (1.34956pt too wide) in paragraph at lines 26109--26110 \T1/pcr/m/n/10.95 0.4*(exp(-8*(x-3)[][]^[]2)+2*exp(-8*(x-2)[][]^[]2)+exp(-8*(x -1)[][]^[]2)) ( FP-DIV ) ( FP-DIV ) [600]>] ( FP-DIV ) ( FP-DIV ) [234 <./xcas-3dhex.png Overfull \hbox (4.97383pt too wide) in paragraph at lines 26161--26162 \T1/pcr/m/n/10.95 geometric\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 gammad\T1/ptm/ m/n/10.95 , \T1/pcr/m/n/10.95 betad\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 cauchy \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 cauchyd\T1/ptm/m/n/10.95 ) or \T1/pcr/m/n /10.95 weibull \T1/ptm/m/n/10.95 (\T1/pcr/m/n/10.95 weibulld\T1/ptm/m/n/10.95 ) , [601] ( FP-DIV ) ( FP-DIV ) >] [602] Overfull \hbox (16.31805pt too wide) in paragraph at lines 26213--26221 \T1/ptm/m/n/10.95 pute char-ac-ter-is-tic fea-tures of the chain. If $\OML/cmm/ m/it/10.95 M$ \T1/ptm/m/n/10.95 is a tran-si-tion ma-trix, then \T1/pcr/m/n/10. 95 markov($\OML/cmm/m/it/10.95 M$\T1/pcr/m/n/10.95 ) Overfull \hbox (198.44933pt too wide) in paragraph at lines 26223--26224 \T1/pcr/m/n/10.95 markov([[0,0,1/2,0,1/2],[0,0,1,0,0],[1/4,1/4,0,1/4,1/4],[0,0 ,1/2,0,1/2],[0,0,0,0,1]]) Overfull \hbox (126.17941pt too wide) in paragraph at lines 26240--26241 \T1/pcr/m/n/10.95 randmarkov([[0,1/2,0,1/2],[0,1,0,0],[1/4,1/4,1/4,1/4],[0,0,1 /2,1/2]],2,10) Overfull \hbox (19.47916pt too wide) in paragraph at lines 26248--26252 []\T1/ptm/m/n/10.95 Alternatively, given a vec-tor $\OML/cmm/m/it/10.95 v \OT1/ cmr/m/n/10.95 = [\OML/cmm/m/it/10.95 n[]; [] ; n[]\OT1/cmr/m/n/10.95 ]$\T1/ptm/ m/n/10.95 , the com-mand \T1/pcr/m/n/10.95 randmatrix($\OML/cmm/m/it/10.95 v$\T 1/pcr/m/n/10.95 ,$\OML/cmm/m/it/10.95 i[]$\T1/pcr/m/n/10.95 ) Overfull \hbox (145.88939pt too wide) in paragraph at lines 26259--26264 \T1/pcr/m/n/10.95 [0.259262238137,0.149948861946,0.143448150524,0.242132758802 ,0.205207990592], Overfull \hbox (145.88939pt too wide) in paragraph at lines 26259--26264 \T1/pcr/m/n/10.95 [0.231568633749,0.145429586345,0.155664673778,0.282556511895 ,0.184780594232]] [603 [235] <./xcas-3disopoly.png Overfull \hbox (86.75946pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Summary Z-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1!=mu2.[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Test returns 0 if probability to observe data is less th an 0.1[] Overfull \hbox (99.89944pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 (null hyp. mu1=mu2 rejected with less than alpha probabi lity error)[] [604] Overfull \hbox (34.19952pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 Test returns 1 otherwise (can not reject null hypothesis )[] Overfull \hbox (145.88939pt too wide) in paragraph at lines 26328--26328 [] \T1/pcr/m/n/10.95 alpha level 0.1, multiplier*stddev/sqrt(sample size)= 1. 64485*0.02/5.47723[] Overfull \hbox (80.18947pt too wide) in paragraph at lines 26344--26344 [] \T1/pcr/m/n/10.95 Summary Z-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1] Overfull \hbox (145.88939pt too wide) in paragraph at lines 26389--26389 [] \T1/pcr/m/n/10.95 alpha level 0.1, multiplier*stddev/sqrt(sample size)= 1. 32534*0.02/4.47214[] Overfull \hbox (80.18947pt too wide) in paragraph at lines 26405--26405 [] \T1/pcr/m/n/10.95 Summary T-Test null hypothesis H0 mu1=mu2, alt. hyp. H1 mu1] [639] [640 [245] <./xcas-3dhalfcone.png [641] [642] [643] [644] [645] [646] Overfull \hbox (31.41634pt too wide) in paragraph at lines 28493--28498 \T1/ptm/m/n/10.95 is run, such as \T1/pcr/m/n/10.95 makelist[] \T1/ptm/m/n/10.9 5 or \T1/pcr/m/n/10.95 $\T1/ptm/m/n/10.95 , in-stead of copy-ing a list; \T1/pc r/m/n/10.95 a := makelist(n,n,0,4) [647]>] [648] [649] [246 <./xcas-3dcylinder.png [650] Overfull \hbox (45.88615pt too wide) in paragraph at lines 28801--28801 []\T1/ptm/b/n/12 Working with the graph-ics screen: \T1/pcr/b/n/12 DispG, DispH ome, ClrGraph, [651] Overfull \hbox (16.88283pt too wide) in paragraph at lines 28851--28851 []\T1/ptm/b/n/12 Dealing with er-rors: \T1/pcr/b/n/12 try, catch, throw, error, ERROR [652] Overfull \hbox (40.76952pt too wide) in paragraph at lines 28892--28892 [] \T1/pcr/m/n/10.95 try { y := [[1,1]]*x; str := "This produced a product." ;}[] Overfull \hbox (119.60942pt too wide) in paragraph at lines 28892--28892 [] \T1/pcr/m/n/10.95 str := "This produced an error " + err + " The input i s returned.";}[] [653] Overfull \hbox (8.47087pt too wide) in paragraph at lines 28966--28966 []\T1/ptm/b/n/12 Starting the de-bug-ger: \T1/pcr/b/n/12 debug, sst, in, sst_in , cont, Overfull \hbox (49.19984pt too wide) in paragraph at lines 28966--28966 \T1/pcr/b/n/12 kill, break, breakpoint, halt, rmbrk, rmbreakpoint, [654] [655] [656] Chapter 12. ( FP-DIV ) ( FP-DIV ) [657] Overfull \hbox (0.54688pt too wide) in paragraph at lines 29120--29123 \T1/ptm/m/n/10.95 toggles whether or not the co-or-di-nate axes are shown in su b-se-quent graphic screens. Overfull \hbox (87.7064pt too wide) in paragraph at lines 29143--29143 []\T1/ptm/b/n/12 Draw unit vec-tors in the plane: \T1/pcr/b/n/12 Ox_2d_unit_vec tor[] Oy_2d_unit_vector[] ( FP-DIV ) ( FP-DIV ) [658]>] Overfull \hbox (0.83241pt too wide) in paragraph at lines 29163--29174 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 dot_paper \T1/ptm/m/n/10.95 com-mand dr aws dot-ted pa-per. This com-mand takes three manda- ( FP-DIV ) ( FP-DIV ) [247 <./xca s-3dsphere.png ( FP-DIV ) ( FP-DIV ) [659] Overfull \hbox (7.63406pt too wide) in paragraph at lines 29208--29217 \T1/ptm/m/n/10.95 spac-ing in the $\OML/cmm/m/it/10.95 y$ \T1/ptm/m/n/10.95 di- rec-tion. The op-tional fourth and fifth ar-gu-ments, \T1/pcr/m/n/10.95 x=xmin. .xmax ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (31.2302pt too wide) in paragraph at lines 29231--29240 \T1/ptm/m/n/10.95 rec-tion. The op-tional fourth and fifth ar-gu-ments, \T1/pcr /m/n/10.95 x=xmin..xmax \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 y=ymin..ymax\T1 /ptm/m/n/10.95 , ( FP-DIV ) ( FP-DIV [248 <./xcas-3dfuncplot.png ) [660] ( FP-DIV ) ( FP-DIV ) [661] Overfull \hbox (40.44118pt too wide) in paragraph at lines 29320--29320 [] \T1/pcr/m/n/10.95 C := append(C,square(j,j+1,color=j+filled));[] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) Underfull \vbox (badness 4954) has occurred while \output is active [662] [249 <./xcas-3dparamplot.png Overfull \hbox (1.65459pt too wide) in paragraph at lines 29385--29388 []\T1/ptm/m/n/10.95 The val-ues \T1/pcr/m/n/10.95 line_width_1\T1/ptm/m/n/10.95 ,...,\T1/pcr/m/n/10.95 line_width_8 \T1/ptm/m/n/10.95 change the [663] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.8445pt too wide) in paragraph at lines 29453--29458 \T1/pcr/m/sl/10.95 units\T1/pcr/m/n/10.95 ","\T1/pcr/m/sl/10.95 y units\T1/pcr/ m/n/10.95 "] \T1/ptm/m/n/10.95 or \T1/pcr/m/n/10.95 ["\T1/pcr/m/sl/10.95 x unit s\T1/pcr/m/n/10.95 ","\T1/pcr/m/sl/10.95 y units\T1/pcr/m/n/10.95 ","z units"]\ T1/ptm/m/n/10.95 . [664] Overfull \hbox (12.80217pt too wide) in paragraph at lines 29469--29470 []\T1/ptm/m/n/10.95 These set the names Overfull \hbox (6.12271pt too wide) in paragraph at lines 29471--29472 []\T1/ptm/m/n/10.95 These set the units Overfull \hbox (2.45479pt too wide) in paragraph at lines 29473--29476 []\T1/ptm/m/n/10.95 These set the ( FP-DIV ) ( FP-DIV ) [665] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [250 <./xcas-3dcube.png [666] ( FP-DIV>] ) ( FP-DIV ) [251 <./xcas-3dcube2.png ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (26.69461pt too wide) in paragraph at lines 29618--29618 []\T1/ptm/b/n/14.4 Define ge-o-met-ric ob-jects with-out draw-ing them: \T1/pcr /b/n/14.4 nodisp[] [667 [252] <./xcas-3dcube3.png ( FP-DIV ) ( FP-DIV ) >] [668] ( FP-DIV[253 <./xcas-3dcube4.png ) ( FP-DIV ) Overfull \hbox (11.23666pt too wide) in paragraph at lines 29727--29746 \T1/ptm/m/n/10.95 to the com-mands \T1/pcr/m/n/10.95 assume(Ax=[2.1,-8.16901408 451,8.16901408451]) ( FP-DIV>] ) ( FP-DIV ) [669] [254 <./xcas-3dtetra.png>] [255 <./xcas-3dtetra2.png ( FP-DIV ) ( FP-DIV ) [670] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.33821pt too wide) in paragraph at lines 29835--29839 []\T1/ptm/m/n/10.95 The sum \T1/pcr/m/n/10.95 B+A \T1/ptm/m/n/10.95 re-turns th e af-fix $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 + \OML /cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 i\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 a[]\OT1/cm r/m/n/10.95 )$\T1/ptm/m/n/10.95 . If \T1/pcr/m/n/10.95 D := point(B+A)\T1/ptm/m /n/10.95 , ( FP-DIV>] ) ( FP-DIV ) [671] [256 <./xcas-3dppiped.png Overfull \hbox (43.76132pt too wide) in paragraph at lines 29905--29905 []\T1/ptm/b/n/12 Find a point of in-ter-sec-tion of two ob-jects in the plane: \T1/pcr/b/n/12 single_inter[] [672]>] [673] [257 <./xcas-3dppiped2.png ( FP-DIV ) ( FP-DIV>] ) [674] [258 <./xcas-3dpris m.png Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 30056. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 30056. Overfull \hbox (0.38922pt too wide) in paragraph at lines 30062--30065 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 isobarycenter \T1/ptm/m/n/10.95 com-m and takes a list (or se-quence) of points and draws ( FP-DIV ) ( FP-DIV ) >] [259 <./xcas-3dpolyhedron.png Overfull \hbox (30.62222pt too wide) in paragraph at lines 30081--30081 []\T1/ptm/b/n/12 The ver-tices of a poly-gon in the plane: \T1/pcr/b/n/12 verti ces[]\T1/ptm/b/n/12 , \T1/pcr/b/n/12 vertices_abc[] ( FP-DIV ) ( FP-DIV ) [675] ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (11.55377pt too wide) in paragraph at lines 30107--30107 []\T1/ptm/b/n/12 The ver-tices of a poly-gon in the plane, closed: \T1/pcr/b/n/ 12 vertices_abca[] [676] [260 <./xcas-3dlinesegs.png ( FP-DIV ) ( FP-DIV>] ) [677] ( FP-DIV [261 ) ( FP-DIV <./x cas-3dctetra.png ) [678] ( FP-DIV ) ( FP-DIV ) >] Overfull \hbox (9.13919pt too wide) in paragraph at lines 30306--30309 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 segment \T1/ptm/m/n/10.95 and \T1/pcr /m/n/10.95 vector \T1/ptm/m/n/10.95 com-mands re-turn and draw vec-tors. (The \ T1/pcr/m/n/10.95 segment ( FP-DIV [262 <./xcas-3dccube.png ) ( FP-DIV ) [679] ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) [263 <./xcas-3dccube2.png [680] ( FP-DIV ) ( FP-DIV>] ) [264 <./xcas-3doct.png ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [681] ( FP-DIV ) ( FP-DIV ) >] ( FP-DIV [265 <./xcas-3ddod.png ) ( FP-DIV ) Overfull \hbox (66.80107pt too wide) in paragraph at lines 30467--30467 []\T1/ptm/b/n/12 The per-pen-dic-u-lar bi-sec-tor of a seg-ment in the plane: \ T1/pcr/b/n/12 perpen_bisector[] [682] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) [683] [266 <./xcas-3ddod2.png ( FP-DIV ) ( FP-DIV ) >] ( FP-DIV ) ( FP-DIV [267 <./xcas-3dico.png ) [684] ( FP-DIV ) ( FP-DIV ) >] ( FP-DIV ) ( FP-DIV ) [268 <./xcas-3dico2.png Overfull \hbox (9.16031pt too wide) in paragraph at lines 30608--30611 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 right_triangle \T1/ptm/m/n/10.95 com- mand takes three ar-gu-ments and an op-tional fourth. ( FP-DIV ) ( FP-DIV ) [685] ( FP-DIV ) ( FP-DIV ) ( FP-DIV>] ) ( FP-DIV ) [269 <./xcas-image1234.png [686]>] ( FP-DIV ) ( FP-DIV[270 <./xcas-image2134.png ) ( FP-DIV>] ) ( FP-DIV ) [271 <./xcas-image2.png [687]>] (./cascmd_en.image.aux) ( FP-DIV Package rerunfilecheck Warning: File `cascmd_en.image.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ) Output written on cascmd_en.image.pdf (271 pages, 2617927 bytes). Transcript written on cascmd_en.image.log. ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [688] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [689] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (15.49039pt too wide) in paragraph at lines 30850--30856 []\T1/ptm/m/n/10.95 Given \T1/pcr/m/n/10.95 rectangle(A,B,k)\T1/ptm/m/n/10.95 , \T1/pcr/m/n/10.95 Xcas \T1/ptm/m/n/10.95 com-putes \T1/pcr/m/n/10.95 D \T1/ptm /m/n/10.95 by $[]\OT1/cmr/m/n/10.95 ) = [] + [690] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [691] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [692] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [693] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [694] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [695] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [696] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [697] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [698] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [699] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [700] ( FP-DIV ) ( FP-DIV ) [701] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [702] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [703] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [704] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [705] [706] Overfull \hbox (38.37344pt too wide) in paragraph at lines 31633--31633 []\T1/ptm/b/n/12 The co-or-di-nates of a point, vec-tor or line in the plane: \ T1/pcr/b/n/12 coordinates[] [707] [708] Overfull \hbox (54.13019pt too wide) in paragraph at lines 31766--31766 []\T1/ptm/b/n/12 The rect-an-gu-lar co-or-di-nates of a point: \T1/pcr/b/n/12 r ectangular_coordinates[] [709] Overfull \hbox (6.71999pt too wide) in paragraph at lines 31890--31890 \T1/pcr/b/n/12 angleat[] angleatraw[] areaat[] areaatraw[] perimeterat[] Overfull \hbox (26.03995pt too wide) in paragraph at lines 31890--31890 \T1/pcr/b/n/12 perimeteratraw[] slopeat[] slopeatraw[] extract_measure[] Overfull \hbox (12.31754pt too wide) in paragraph at lines 31893--31905 \T1/ptm/m/n/10.95 are used to in-ter-ac-tively find and dis-play the ap-pro-pri -ate mea-sure in a two-dimensional [710] ( FP-DIV ) ( FP-DIV ) [711] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [712] [713] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [714] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (76.7979pt too wide) in paragraph at lines 32152--32152 []\T1/ptm/b/n/12 The graph-i-cal rep-re-sen-ta-tion of the area of a poly-gon: \T1/pcr/b/n/12 plotarea[]areaplot[] ( FP-DIV ) ( FP-DIV ) [715] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [716] Overfull \hbox (2.81087pt too wide) in paragraph at lines 32284--32286 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 perimeter \T1/ptm/m/n/10.95 com-mand has \T1/pcr/m/n/10.95 perimeterat \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 perim eteratraw \T1/ptm/m/n/10.95 ver- [717] [718] [719] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (34.02747pt too wide) in paragraph at lines 32475--32479 []\T1/ptm/m/n/10.95 If \T1/pcr/m/n/10.95 reflection \T1/ptm/m/n/10.95 has a sin -gle ar-gu-ment, that ar-gu-ment is a point or line. \T1/pcr/m/n/10.95 reflecti on [720] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [721] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [722] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [723] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [724] Overfull \hbox (6.165pt too wide) in paragraph at lines 32650--32654 \T1/ptm/m/n/10.95 two num-bers as above, and the fourth ar-gu-ment is a ge-o-me t-ric ob-ject. \T1/pcr/m/n/10.95 similarity ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.0701pt too wide) in paragraph at lines 32672--32675 []\T1/ptm/m/n/10.95 Note that for a point \T1/pcr/m/n/10.95 A \T1/ptm/m/n/10.95 and num-bers \T1/pcr/m/n/10.95 k \T1/ptm/m/n/10.95 and \T1/pcr/m/n/10.95 a\T1/ ptm/m/n/10.95 , the com-mand \T1/pcr/m/n/10.95 similarity(A,k,a) [725] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [726] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [727] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [728] Overfull \hbox (12.8854pt too wide) in paragraph at lines 32834--32834 []\T1/ptm/b/n/12 Check if three points are collinear in the plane: \T1/pcr/b/n/ 12 is_collinear[] Overfull \hbox (10.13753pt too wide) in paragraph at lines 32866--32866 []\T1/ptm/b/n/12 Check if four points are con-cyclic in the plane: \T1/pcr/b/n/ 12 is_concyclic[] [729] Overfull \hbox (72.9569pt too wide) in paragraph at lines 32937--32937 []\T1/ptm/b/n/12 Check if an ob-ject is an equi-lat-eral tri-an-gle in the plan e: \T1/pcr/b/n/12 is_equilateral[] [730] Overfull \hbox (45.88486pt too wide) in paragraph at lines 32988--32988 []\T1/ptm/b/n/12 Check if an ob-ject in the plane is an isosce-les tri-an-gle: \T1/pcr/b/n/12 is_isosceles[] [731] Overfull \hbox (19.29272pt too wide) in paragraph at lines 33070--33072 \T1/ptm/m/n/10.95 See sec-tion [][][]13.13.11[][][][] for check-ing for right t ri-an-gles and rect-an-gles in three-dimensional [732] [733] Overfull \hbox (61.73753pt too wide) in paragraph at lines 33251--33251 []\T1/ptm/b/n/12 Check if an ob-ject in the plane is a par-al-lel-o-gram: \T1/p cr/b/n/12 is_parallelogram[] [734] Underfull \hbox (badness 10000) in paragraph at lines 33316--33319 Overfull \hbox (59.6732pt too wide) in paragraph at lines 33352--33352 []\T1/ptm/b/n/12 Check if two lines in the plane are per-pen-dic-u-lar: \T1/pcr /b/n/12 is_perpendicular[] [735] Overfull \hbox (30.62173pt too wide) in paragraph at lines 33384--33384 []\T1/ptm/b/n/12 Check if two cir-cles in the plane are or-thog-o-nal: \T1/pcr/ b/n/12 is_orthogonal[] [736] Overfull \hbox (41.86461pt too wide) in paragraph at lines 33485--33486 \T1/pcr/m/n/10.95 is_conjugate(point(1+i),point(3+i),point(i),point(3/2+i)) Overfull \hbox (94.42455pt too wide) in paragraph at lines 33495--33496 \T1/pcr/m/n/10.95 is_conjugate(line(0,1+i),line(2,3+i),line(3,4+i),line(3/2,5/ 2+i)) Overfull \hbox (9.80168pt too wide) in paragraph at lines 33504--33504 []\T1/ptm/b/n/12 Check if four points form a har-monic di-vi-sion: \T1/pcr/b/n/ 12 is_harmonic[] [737] Overfull \hbox (11.53027pt too wide) in paragraph at lines 33532--33532 []\T1/ptm/b/n/12 Check if lines are in a bun-dle: \T1/pcr/b/n/12 is_harmonic_li ne_bundle[] Overfull \hbox (113.03943pt too wide) in paragraph at lines 33547--33548 \T1/pcr/m/n/10.95 is_harmonic_line_bundle([line(0,1+i),line(0,2+i),line(0,3+i) ,line(0,1)]) Overfull \hbox (35.0262pt too wide) in paragraph at lines 33555--33555 []\T1/ptm/b/n/12 Check if cir-cles are in a bun-dle: \T1/pcr/b/n/12 is_harmonic _circle_bundle[] Overfull \hbox (73.61948pt too wide) in paragraph at lines 33570--33571 \T1/pcr/m/n/10.95 is_harmonic_circle_bundle([circle(0,i),circle(4,i),circle(0, 1/2)]) [738] Overfull \hbox (69.37915pt too wide) in paragraph at lines 33580--33580 []\T1/ptm/b/n/12 Find a point di-vid-ing a seg-ment in the harminic ra-tio $\OM L/cmm/m/it/12 k$\T1/ptm/b/n/12 : \T1/pcr/b/n/12 division_point[] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 33580. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 33580. ( FP-DIV ) ( FP-DIV ) Overfull \hbox (8.16049pt too wide) in paragraph at lines 33637--33640 \T1/ptm/m/n/10.95 Four collinear points $\OML/cmm/m/it/10.95 A$\T1/ptm/m/n/10.9 5 ,$\OML/cmm/m/it/10.95 B$\T1/ptm/m/n/10.95 ,$\OML/cmm/m/it/10.95 C$ \T1/ptm/m/ n/10.95 and $\OML/cmm/m/it/10.95 D$ \T1/ptm/m/n/10.95 are in har-monic di-vi-si on if $[]\OML/cmm/m/it/10.95 =[] \OT1/cmr/m/n/10.95 = []\OML/cmm/m/it/10.95 =[] $\T1/ptm/m/n/10.95 . [739] Overfull \hbox (5.19618pt too wide) in paragraph at lines 33647--33649 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 harmonic_division \T1/ptm/m/n/10.95 c om-mand takes as ar-gu-ment three collinear points ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (1.76309pt too wide) in paragraph at lines 33684--33686 \T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 harmonic_conjugate \T1/ptm/m/n/10.95 co m-mand takes as ar-gu-ments three collinear points, [740] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [741] ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.91956pt too wide) in paragraph at lines 33775--33776 \T1/pcr/m/n/10.95 reciprocation(circle(0,1),[point((1+i)/2),line(1,-1+i)]) ( FP-DIV ) ( FP-DIV ) [742] [743] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [744] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [745] ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) [746] [747] [748] Chapter 13. ( FP-DIV ) ( FP-DIV ) Overfull \hbox (7.01744pt too wide) in paragraph at lines 34043--34045 \T1/ptm/m/n/10.95 This screen also au-to-mat-i-cally ap-pears when-ever there i s a three-dimensional graphic Overfull \hbox (2.00844pt too wide) in paragraph at lines 34067--34071 []\T1/ptm/m/n/10.95 The graph-i-cal fea-tures avail-able for two-dimensional gr aph-ics (see sec-tion [][][]12.3[][][][]) [749] Overfull \hbox (26.85507pt too wide) in paragraph at lines 34102--34102 []\T1/ptm/b/n/12 Draw unit vec-tors: \T1/pcr/b/n/12 Ox_3d_unit_vector[] Oy_3d_u nit_vector[] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [750] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [751] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (19.86943pt too wide) in paragraph at lines 34188--34188 []\T1/ptm/b/n/12 Find an in-ter-sec-tion point of two ob-jects in space: \T1/pc r/b/n/12 single_inter[] Overfull \hbox (27.62953pt too wide) in paragraph at lines 34210--34210 \T1/pcr/m/n/10.95 single_inter(plane(point(0,1,1),point(1,0,1),point(1,1,0)), [752] Overfull \hbox (7.91956pt too wide) in paragraph at lines 34315--34315 \T1/pcr/m/n/10.95 LA:=inter(plane(point(0,1,1),point(1,0,1),point(1,1,0)), [753] Overfull \hbox (67.04948pt too wide) in paragraph at lines 34333--34334 \T1/pcr/m/n/10.95 LB:=inter(sphere(point(0,0,0),1),line(point(0,0,0),point(1,1 ,1))) Overfull \hbox (86.75946pt too wide) in paragraph at lines 34343--34344 \T1/pcr/m/n/10.95 [[1/sqrt(3),1/sqrt(3),1/sqrt(3)],[-1/sqrt(3),-1/sqrt(3),-1/s qrt(3)]] [754] Overfull \hbox (22.79753pt too wide) in paragraph at lines 34397--34397 []\T1/ptm/b/n/12 Find the iso-barycen-ter of a set of points in space: \T1/pcr/ b/n/12 isobarycenter[] [755] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [756] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [757] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [758] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [759] Overfull \hbox (22.15463pt too wide) in paragraph at lines 34621--34622 \T1/pcr/m/n/10.95 parallel(point(1,1,1),line(point(0,0,0),point(0,0,1))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [760] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (114.13452pt too wide) in paragraph at lines 34646--34647 \T1/pcr/m/n/10.95 parallel(point(0,0,0),plane(point(1,0,0),point(0,1,0),point( 0,0,1))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (22.15463pt too wide) in paragraph at lines 34659--34659 \T1/pcr/m/n/10.95 parallel(point(1,1,1),line(point(0,0,0),point(0,0,1)), [761] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (55.0046pt too wide) in paragraph at lines 34682--34683 \T1/pcr/m/n/10.95 perpendicular(point(0,0,0),line(point(1,0,0),point(0,1,0))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [762] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (35.29462pt too wide) in paragraph at lines 34715--34716 \T1/pcr/m/n/10.95 orthogonal(point(0,0,0),line(point(1,0,0),point(0,1,0))) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 5133) has occurred while \output is active [763] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (40.64159pt too wide) in paragraph at lines 34736--34736 []\T1/ptm/b/n/12 Common per-pen-dic-u-lars to lines in space: \T1/pcr/b/n/12 co mmon_perpendicular[] [764] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [765] Overfull \hbox (5.38258pt too wide) in paragraph at lines 34800--34802 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 perpen_bisector \T1/ptm/m/n/10.95 com -mand takes as ar-gu-ment a seg-ment or two points. ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [766] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [767] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [768] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [769] Overfull \hbox (0.88669pt too wide) in paragraph at lines 34976--34985 \T1/pcr/m/n/10.95 right_triangle(A,B,P) \T1/ptm/m/n/10.95 re-turns and draws th e right tri-an-gle \T1/pcr/m/n/10.95 BAC \T1/ptm/m/n/10.95 with ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [770] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [771] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [772] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [773] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 2662) has occurred while \output is active [774] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [775] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [776] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (73.61948pt too wide) in paragraph at lines 35340--35341 \T1/pcr/m/n/10.95 quadrilateral(point(0,0,0),point(0,1,0),point(0,2,2),point(1 ,0,2)) ( FP-DIV ) ( FP-DIV ) [777] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [778] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [779] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [780] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [781] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Underfull \vbox (badness 3965) has occurred while \output is active [782] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [783] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [784] Overfull \hbox (20.08562pt too wide) in paragraph at lines 35659--35659 []\T1/ptm/b/n/12 The co-or-di-nates of a point, vec-tor or line in space: \T1/p cr/b/n/12 coordinates[] Overfull \hbox (23.37273pt too wide) in paragraph at lines 35681--35685 []\T1/ptm/m/n/10.95 If the ar-gu-ment is a vec-tor, for ex-am-ple from point \T 1/pcr/m/n/10.95 A \T1/ptm/m/n/10.95 to point \T1/pcr/m/n/10.95 B\T1/ptm/m/n/10. 95 , then \T1/pcr/m/n/10.95 coordinates [785] Overfull \hbox (67.04948pt too wide) in paragraph at lines 35824--35825 \T1/pcr/m/n/10.95 normal(parameq(ellipse(point(-1,1,1),point(1,1,1),point(0,1, 2)))) [786] Underfull \hbox (badness 10000) in paragraph at lines 35894--35895 [787] Overfull \hbox (1.85773pt too wide) in paragraph at lines 35938--35938 []\T1/ptm/b/n/12 Check if an ob-ject in space is on an-other ob-ject: \T1/pcr/b /n/12 is_element[] [788] Overfull \hbox (21.26125pt too wide) in paragraph at lines 35985--35985 []\T1/ptm/b/n/12 Check if points and/or lines in space are copla-nar: \T1/pcr/b /n/12 is_coplanar[] Overfull \hbox (34.19952pt too wide) in paragraph at lines 36029--36030 \T1/pcr/m/n/10.95 is_coplanar(line([-1,2,0],[1,2,-3]),line([1,1,-2],[2,1,-3])) Overfull \hbox (16.59305pt too wide) in paragraph at lines 36038--36038 []\T1/ptm/b/n/12 Check if lines and/or planes in space are par-al-lel: \T1/pcr/ b/n/12 is_parallel[] [789] Overfull \hbox (85.80864pt too wide) in paragraph at lines 36101--36101 []\T1/ptm/b/n/12 Check if lines and/or planes in space are per-pen-dic-u-lar: \ T1/pcr/b/n/12 is_perpendicular[] Overfull \hbox (2.15216pt too wide) in paragraph at lines 36107--36109 []\T1/ptm/m/n/10.95 The \T1/pcr/m/n/10.95 is_perpendicular \T1/ptm/m/n/10.95 co m-mand takes as ar-gu-ments two lines, two planes Overfull \hbox (67.04948pt too wide) in paragraph at lines 36118--36119 \T1/pcr/m/n/10.95 is_perpendicular(line([2,3,-2],[-1,-1,-1]),line([1,0,0],[1,2 ,8])) [790] Overfull \hbox (47.33951pt too wide) in paragraph at lines 36176--36177 \T1/pcr/m/n/10.95 is_orthogonal(line([2,3,-2],[-1,-1,-1]),line([1,0,0],[1,2,8] )) Overfull \hbox (47.33951pt too wide) in paragraph at lines 36208--36209 \T1/pcr/m/n/10.95 is_orthogonal(sphere([0,0,0],sqrt(2)),sphere([2,0,0],sqrt(2) )) [791] Overfull \hbox (13.65358pt too wide) in paragraph at lines 36287--36287 []\T1/ptm/b/n/12 Check if five points in space are co-spher-i-cal: \T1/pcr/b/n/ 12 is_cospherical[] [792] Overfull \hbox (1.34956pt too wide) in paragraph at lines 36312--36313 \T1/pcr/m/n/10.95 is_cospherical([2,0,0],[0,2,0],[1,1,0],[0,0,2],[1,1,1]) Overfull \hbox (54.66907pt too wide) in paragraph at lines 36320--36320 []\T1/ptm/b/n/12 Check if an ob-ject in space is an equi-lat-eral tri-an-gle: \ T1/pcr/b/n/12 is_equilateral[] Overfull \hbox (33.59703pt too wide) in paragraph at lines 36372--36372 []\T1/ptm/b/n/12 Check if an ob-ject in space is an isosce-les tri-an-gle: \T1/ pcr/b/n/12 is_isosceles[] [793] Overfull \hbox (8.24435pt too wide) in paragraph at lines 36437--36439 \T1/ptm/m/n/10.95 See sec-tion [][][]12.16.7[][][][] for check-ing for right tr i-an-gles and rect-an-gles in two-dimensional [794] [795] Overfull \hbox (43.4497pt too wide) in paragraph at lines 36585--36585 []\T1/ptm/b/n/12 Check if an ob-ject in space is a par-al-lel-o-gram: \T1/pcr/b /n/12 is_parallelogram[] [796] [797] Overfull \hbox (42.4051pt too wide) in paragraph at lines 36737--36737 []\T1/ptm/b/n/12 Reflection in space with re-spect to a plane, line or point: \ T1/pcr/b/n/12 reflection[] [798] [799] [800] Underfull \hbox (badness 10000) in paragraph at lines 37007--37010 Overfull \hbox (7.91956pt too wide) in paragraph at lines 37067--37068 \T1/pcr/m/n/10.95 projection(plane(point(1,0,0),point(0,0,0),point(1,1,1)) [801] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [802] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [803] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) Overfull \hbox (230.02115pt too wide) in paragraph at lines 37235--37240 []\T1/pcr/m/n/10.95 paramplot \T1/ptm/m/n/10.95 re-turns and draws the pa-ram-e -ter-ized sur-face; the com-mand \T1/pcr/m/n/10.95 paramplot([f(u,v),g(u,v),h(u ,v)],[u,v]) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [804] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [805] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [806] Underfull \hbox (badness 10000) in paragraph at lines 37323--37326 ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [807] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [808] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [809] Overfull \hbox (47.33951pt too wide) in paragraph at lines 37436--37437 \T1/pcr/m/n/10.95 vertices(polyhedron([0,0,0],[-2,0,0],[2,0,0],[0,2,0],[0,0,2] )) Overfull \hbox (106.46944pt too wide) in paragraph at lines 37461--37462 \T1/pcr/m/n/10.95 faces(polyhedron([1,-1,0],[1,1,0],[0,0,2],[0,0,-2],[-1,1,0], [-1,-1,0])) Overfull \hbox (7.91956pt too wide) in paragraph at lines 37466--37466 \T1/pcr/m/n/10.95 [[[1,-1,0],[1,1,0],[0,0,2]],[[1,-1,0],[1,1,0],[0,0,-2]], Overfull \hbox (27.62953pt too wide) in paragraph at lines 37467--37467 []\T1/pcr/m/n/10.95 [[1,-1,0],[0,0,2],[-1,-1,0]],[[1,-1,0],[0,0,-2],[-1,-1,0]] , Overfull \hbox (1.34956pt too wide) in paragraph at lines 37468--37468 []\T1/pcr/m/n/10.95 [[1,1,0],[0,0,2],[-1,1,0]],[[1,1,0],[0,0,-2],[-1,1,0]], Overfull \hbox (27.62953pt too wide) in paragraph at lines 37469--37470 []\T1/pcr/m/n/10.95 [[0,0,2],[-1,1,0],[-1,-1,0]],[[0,0,-2],[-1,1,0],[-1,-1,0]] ] Overfull \hbox (80.18947pt too wide) in paragraph at lines 37484--37485 \T1/pcr/m/n/10.95 line_segments(polyhedron([0,0,0],[-2,0,0],[2,0,0],[0,2,0],[0 ,0,2])) [810] Overfull \hbox (99.89944pt too wide) in paragraph at lines 37493--37494 \T1/pcr/m/n/10.95 line_segments(polyhedron([0,0,0],[-2,0,0],[2,0,0],[0,2,0],[0 ,0,2]))[1] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [811] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [812] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [813] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [814] ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) ( FP-DIV ) ( FP-MUL ) ( FP-DIV ) ( FP-DIV ) [815] [816] Chapter 14. [817] [818] Overfull \hbox (7.91956pt too wide) in paragraph at lines 37847--37848 \T1/pcr/m/n/10.95 sphere([0,0,0],1,gl_material=[gl_texture,"picture.jpg"]) [819] Overfull \hbox (4.64848pt too wide) in paragraph at lines 37864--37866 []\T1/ptm/m/n/10.95 As an ex-am-ple, sup-pose the fol-low-ing im-age is stored in file \T1/pcr/m/n/10.95 image1234.jpg\T1/ptm/m/n/10.95 . ( FP-DIV ) ( FP-DIV ) Underfull \hbox (badness 10000) in paragraph at lines 37869--37870 ( FP-DIV ) ( FP-DIV ) [820] Overfull \hbox (53.9095pt too wide) in paragraph at lines 37910--37912 \T1/pcr/m/n/10.95 writergb("image1.png",[[4,2,2],[[255,0],[0,0]],[[0,255],[0,0 ]], ( FP-DIV ) ( FP-DIV ) [821] Overfull \hbox (139.3194pt too wide) in paragraph at lines 37944--37945 \T1/pcr/m/n/10.95 writergb("image2.png",[[255,250],[0,120]],[[0,255],[0,0]],[[ 0,0],[255,100]]) [822] Chapter 15. Overfull \hbox (14.48955pt too wide) in paragraph at lines 38010--38010 []\T1/pcr/m/n/10.95 // -*- compile-command: "g++ -g pgcd.cc -lgiac -lgmp" -*-[] [823] Overfull \hbox (1.91771pt too wide) in paragraph at lines 38055--38057 []\T1/ptm/m/n/10.95 If \T1/pcr/m/n/10.95 g._CPLXptr \T1/ptm/m/n/10.95 is a com- plex type \T1/pcr/m/n/10.95 complex\T1/ptm/m/n/10.95 , then \T1/pcr/m/n/10.95 g .type \T1/ptm/m/n/10.95 will be \T1/pcr/m/n/10.95 _CPLX\T1/ptm/m/n/10.95 . Overfull \hbox (211.58931pt too wide) in paragraph at lines 38102--38102 []\T1/pcr/m/n/10.95 // -*- mode:C++ ; compile-command: "g++ -I.. -fPIC -DPIC -g -c pgcd.cpp -o pgcd.lo && \[] Overfull \hbox (99.89944pt too wide) in paragraph at lines 38102--38102 []\T1/pcr/m/n/10.95 // gcc -shared pgcd.lo -lc -lgiac -Wl,-soname -Wl,libpgc d.so.0 -o \[] Overfull \hbox (80.18947pt too wide) in paragraph at lines 38102--38102 []\T1/pcr/m/n/10.95 // libpgcd.so.0.0.0 && ln -sf libpgcd.so.0.0.0 libpgcd.s o.0 && \[] [824] Overfull \hbox (21.05954pt too wide) in paragraph at lines 38102--38102 [] \T1/pcr/m/n/10.95 if ( (args.type!=_VECT) || (args._VECTptr->size()!=2))[ ] Overfull \hbox (7.91956pt too wide) in paragraph at lines 38102--38102 [] \T1/pcr/m/n/10.95 unary_function_eval __monpgcd(0,&_monpgcd,_monpgcd_s);[] Overfull \hbox (86.75946pt too wide) in paragraph at lines 38111--38111 [] \T1/pcr/m/n/10.95 gcc -shared pgcd.lo -lc -lgiac -Wl,-soname -Wl,libpgcd. so.0 -o \[] Overfull \hbox (67.04948pt too wide) in paragraph at lines 38111--38111 [] \T1/pcr/m/n/10.95 libpgcd.so.0.0.0 && ln -sf libpgcd.so.0.0.0 libpgcd.so. 0 && \[] [825] [826] (./cascmd_en.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information) Output written on cascmd_en.dvi (826 pages, 3582244 bytes). Transcript written on cascmd_en.log. /usr/bin/dvips -o cascmd_en.ps cascmd_en.dvi This is dvips(k) 2020.1 Copyright 2020 Radical Eye Software (www.radicaleye.com) ' TeX output 2021.10.19:1511' -> cascmd_en.ps . [1 /usr/bin/dvips: Unknown keyword (pdf:pagesize) in \special will be ignored /usr/bin/dvips: Unknown keyword (width) in \special will be ignored /usr/bin/dvips: Unknown keyword (597.50787pt) in \special will be ignored /usr/bin/dvips: Unknown keyword (height) in \special will be ignored /usr/bin/dvips: Unknown keyword (845.04684pt) in \special will be ignored /usr/bin/dvips: No \special psfile was given; figure will be blank ] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52 /usr/bin/dvips: em:graph: xcas-open.png: File not found ] [53 /usr/bin/dvips: em:graph: xcas-scientific-keyboard.png: File not found ] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79 /usr/bin/dvips: em:graph: xcas-tree.png: File not found 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File not found ] [191] [192] [193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] [211] [212] [213] [214] [215] [216] [217] [218] [219 /usr/bin/dvips: em:graph: catenoid_intersections.png: File not found ] [220 /usr/bin/dvips: em:graph: catenoid_1.png: File not found /usr/bin/dvips: em:graph: catenoid_2.png: File not found ] [221] [222] [223] [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240] [241] [242] [243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255] [256 /usr/bin/dvips: em:graph: sound_wav3.png: File not found ] [257 /usr/bin/dvips: em:graph: sound_wav1.png: File not found /usr/bin/dvips: em:graph: sound_wav2.png: File not found ] [258 /usr/bin/dvips: em:graph: sound_spectrum.png: File not found ] [259] [260] [261] [262 /usr/bin/dvips: em:graph: sound_guitar.png: File not found /usr/bin/dvips: em:graph: sound_salon.png: File not found ] [263 /usr/bin/dvips: em:graph: sound_reverb.png: File not found ] [264 /usr/bin/dvips: em:graph: signalproc_mavg1.png: File not found /usr/bin/dvips: em:graph: signalproc_mavg2.png: File not found ] [265] [266 /usr/bin/dvips: em:graph: sound_wav4.png: File not found ] [267] [268] [269] [270] [271] [272] [273 /usr/bin/dvips: em:graph: sound_noise.png: File not found /usr/bin/dvips: em:graph: sound_clean.png: File not found ] [274] [275] [276] [277] [278] [279] [280] [281] [282] [283] [284] [285] [286] [287] [288] [289] [290] [291] [292] [293] [294] [295] [296] [297] [298] [299] [300] [301] [302] [303] [304] [305] [306] [307] [308] [309] [310] [311] [312] [313] [314] [315] [316] [317] [318] [319] [320] [321] [322] [323] [324] [325] [326] [327] [328] [329] [330] [331] [332] [333] [334] [335] [336] [337] [338] [339] [340] [341] [342] [343] [344] [345] [346] [347] [348] [349] [350] [351] [352] [353] [354] [355] [356] [357] [358] [359] [360] [361] [362] [363] [364] [365] [366] [367] [368] [369] [370] [371] [372] [373] [374] [375] [376] [377] [378] [379] [380] [381] [382] [383] [384] [385] [386] [387] [388] [389] [390] [391] [392] [393] [394] [395] [396] [397] [398] [399] [400] [401] [402] [403] [404] [405] [406] [407] [408] [409] [410] [411] [412] [413] [414] [415] [416] [417] [418] [419] [420] [421] [422] [423] [424] [425] [426] [427] [428] [429] [430] [431] [432] [433] [434] [435] [436] [437] [438] [439] [440 **** Error: File did not complete the page properly and may be damaged. ] [441] [442] [443 Output may be incorrect. ] [444] [445] [446] [447] [448] [449] [450] [451] [452] [453] [454] [455] [456] [457] [458] [459] [460] [461] [462] [463] [464] [465] [466] [467] [468] [469] [470] [471] [472] [473] [474] [475] [476] [477] [478 /usr/bin/dvips: em:graph: xcas-conic1.png: File not found ] [479] [480 /usr/bin/dvips: em:graph: xcas-quadric1.png: File not found ] [481] [482] [483] [484] [485] [486] [487] [488] [489] [490] [491] [492] [493] [494] [495] [496] [497] [498] [499] [500] [501] [502] [503] [504] [505] [506] [507] [508] [509] [510] [511] [512] [513] [514] [515] [516] [517] [518] [519] [520 /usr/bin/dvips: em:graph: xcas-osculatingcircle.png: File not found ] [521 /usr/bin/dvips: em:graph: xcas-evolute.png: File not found ] [522] [523] [524] [525] [526] [527] [528] [529] [530] [531] [532] [533] [534 /usr/bin/dvips: em:graph: xcas-DrawSlp.png: File not found ] [535] [536] [537] [538] [539] [540] [541 /usr/bin/dvips: em:graph: xcas-bezier1.png: File not found ] [542 /usr/bin/dvips: em:graph: xcas-bezier2.png: File not found ] [543] [544] [545] [546] [547] [548] [549] [550] [551] [552] [553] [554] [555 /usr/bin/dvips: em:graph: xcas-boxwhisker.png: File not found ] [556] [557 /usr/bin/dvips: em:graph: xcas-histogram1.png: File not found /usr/bin/dvips: em:graph: xcas-histogram2.png: File not found ] [558 /usr/bin/dvips: em:graph: xcas-cumfreq1.png: File not found ] [559 /usr/bin/dvips: em:graph: xcas-cumfreqint.png: File not found /usr/bin/dvips: em:graph: xcas-cumfreq2.png: File not found /usr/bin/dvips: em:graph: xcas-barplot1.png: File not found ] [560 /usr/bin/dvips: em:graph: xcas-barplot2.png: File not found /usr/bin/dvips: em:graph: xcas-piechart1.png: File not found /usr/bin/dvips: em:graph: xcas-piechart2.png: File not found ] [561] [562 /usr/bin/dvips: em:graph: xcas-scatterplot.png: File not found ] [563 /usr/bin/dvips: em:graph: xcas-batons.png: File not found /usr/bin/dvips: em:graph: xcas-polygonplot.png: File not found ] [564 /usr/bin/dvips: em:graph: xcas-listplot.png: File not found ] [565 /usr/bin/dvips: em:graph: xcas-linregplot.png: File not found ] [566 /usr/bin/dvips: em:graph: xcas-expregplot.png: File not found ] [567 /usr/bin/dvips: em:graph: xcas-logregplot.png: File not found /usr/bin/dvips: em:graph: xcas-powregplot.png: File not found ] [568 /usr/bin/dvips: em:graph: xcas-polyregplot.png: File not found ] [569 /usr/bin/dvips: em:graph: xcas-logisticregplot.png: File not found ] [570] [571] [572] [573] [574] [575] [576] [577] [578 /usr/bin/dvips: em:graph: random_hist1.png: File not found ] [579 /usr/bin/dvips: em:graph: random_hist2.png: File not found /usr/bin/dvips: em:graph: random_hist3.png: File not found ] [580] [581] [582] [583] [584] [585] [586] [587] [588] [589] [590] [591] [592] [593] [594] [595] [596] [597] [598] [599] [600] [601 /usr/bin/dvips: em:graph: kde_plot1.png: File not found /usr/bin/dvips: em:graph: kde_plot2.png: File not found ] [602 /usr/bin/dvips: em:graph: fitdistr.png: File not found ] [603] [604] [605] [606] [607] [608] [609] [610] [611] [612] [613] [614] [615] [616] [617] [618] [619] [620] [621] [622] [623] [624] [625] [626] [627] [628] [629] [630] [631] [632] [633] [634] [635] [636] [637] [638] [639] [640] [641] [642] [643] [644] [645] [646] [647] [648] [649] [650] [651] [652] [653] [654] [655] [656] [657 /usr/bin/dvips: em:graph: xcas-tr.png: File not found ] [658] [659 /usr/bin/dvips: em:graph: xcas-unit-vector.png: File not found 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not found ] [670 /usr/bin/dvips: em:graph: xcas-assumespoint.png: File not found /usr/bin/dvips: em:graph: xcas-2dpoint.png: File not found ] [671 /usr/bin/dvips: em:graph: xcas-subpts.png: File not found ] [672 /usr/bin/dvips: em:graph: xcas-addpts.png: File not found ] [673] [674] [675 /usr/bin/dvips: em:graph: xcas-barycenter.png: File not found /usr/bin/dvips: em:graph: xcas-center.png: File not found /usr/bin/dvips: em:graph: xcas-vertices.png: File not found ] [676 /usr/bin/dvips: em:graph: xcas-vertices2.png: File not found ] [677] [678 /usr/bin/dvips: em:graph: xcas-line.png: File not found /usr/bin/dvips: em:graph: xcas-halfline.png: File not found ] [679 /usr/bin/dvips: em:graph: xcas-segment.png: File not found /usr/bin/dvips: em:graph: xcas-segvec.png: File not found ] [680 /usr/bin/dvips: em:graph: xcas-vect.png: File not found /usr/bin/dvips: em:graph: xcas-parallel.png: File not found ] [681 /usr/bin/dvips: em:graph: xcas-perp.png: File not found /usr/bin/dvips: em:graph: xcas-tangent1.png: File not found /usr/bin/dvips: em:graph: xcas-tangent2.png: File not found ] [682 /usr/bin/dvips: em:graph: xcas-median.png: File not found /usr/bin/dvips: em:graph: xcas-altitude.png: File not found ] [683 /usr/bin/dvips: em:graph: xcas-perpbisect.png: File not found /usr/bin/dvips: em:graph: xcas-bisector.png: File not found ] [684 /usr/bin/dvips: em:graph: xcas-exbisector.png: File not found /usr/bin/dvips: em:graph: xcas-triangle.png: File not found ] [685 /usr/bin/dvips: em:graph: xcas-isotriangle.png: File not found /usr/bin/dvips: em:graph: xcas-isotriangleC.png: File not found ] [686 /usr/bin/dvips: em:graph: xcas-rttriangle.png: File not found /usr/bin/dvips: em:graph: xcas-rttriangle2.png: File not found /usr/bin/dvips: em:graph: xcas-rttriangleC.png: File not found ] [687 /usr/bin/dvips: em:graph: xcas-equitriangle.png: File not found /usr/bin/dvips: em:graph: xcas-equitriangleC.png: File not found ] [688 /usr/bin/dvips: em:graph: xcas-square.png: File not found /usr/bin/dvips: em:graph: xcas-squareCD.png: File not found ] [689 /usr/bin/dvips: em:graph: xcas-rhombus.png: File not found /usr/bin/dvips: em:graph: xcas-rhombusCD.png: File not found ] [690 /usr/bin/dvips: em:graph: xcas-rectangle.png: File not found /usr/bin/dvips: em:graph: xcas-rectangle2.png: File not found /usr/bin/dvips: em:graph: xcas-rectangleCD.png: File not found ] [691 /usr/bin/dvips: em:graph: xcas-rectangle3.png: File not found /usr/bin/dvips: em:graph: xcas-parallelogram.png: File not found ] [692 /usr/bin/dvips: em:graph: xcas-parallelogramD.png: File not found /usr/bin/dvips: em:graph: xcas-quadrilateral.png: File not found ] [693 /usr/bin/dvips: em:graph: xcas-hexagon.png: File not found /usr/bin/dvips: em:graph: xcas-hexagonCDEF.png: File not found ] [694 /usr/bin/dvips: em:graph: xcas-isopolygon.png: File not found /usr/bin/dvips: em:graph: xcas-isopolygon2.png: File not found /usr/bin/dvips: em:graph: xcas-polygon.png: File not found ] [695 /usr/bin/dvips: em:graph: xcas-polygon2.png: File not found /usr/bin/dvips: em:graph: xcas-opolygon.png: File not found /usr/bin/dvips: em:graph: xcas-opolygon2.png: File not found ] [696 /usr/bin/dvips: em:graph: xcas-chull.png: File not found /usr/bin/dvips: em:graph: xcas-circle.png: File not found ] [697 /usr/bin/dvips: em:graph: xcas-circle2.png: File not found /usr/bin/dvips: em:graph: xcas-circle3.png: File not found ] [698 /usr/bin/dvips: em:graph: xcas-circle4.png: File not found /usr/bin/dvips: em:graph: xcas-circle5.png: File not found ] [699 /usr/bin/dvips: em:graph: xcas-arc.png: File not found /usr/bin/dvips: em:graph: xcas-arc2.png: File not found /usr/bin/dvips: em:graph: xcas-bigCircle.png: File not found ] [700 /usr/bin/dvips: em:graph: xcas-incircle.png: File not found /usr/bin/dvips: em:graph: xcas-circumcircle.png: File not found ] [701 /usr/bin/dvips: em:graph: xcas-excircle.png: File not found /usr/bin/dvips: em:graph: xcas-radaxis.png: File not found ] [702 /usr/bin/dvips: em:graph: xcas-ellipse.png: File not found /usr/bin/dvips: em:graph: xcas-ellipse2.png: File not found /usr/bin/dvips: em:graph: xcas-ellipse3.png: File not found ] [703 /usr/bin/dvips: em:graph: xcas-hyperbola1.png: File not found /usr/bin/dvips: em:graph: xcas-hyperbola2.png: File not found ] [704 /usr/bin/dvips: em:graph: xcas-hyperbola3.png: File not found /usr/bin/dvips: em:graph: xcas-parabola1.png: File not found ] [705 /usr/bin/dvips: em:graph: xcas-parabola2.png: File not found /usr/bin/dvips: em:graph: xcas-parabola3.png: File not found /usr/bin/dvips: em:graph: xcas-parabola4.png: File not found ] [706] [707] [708] [709] [710] [711 /usr/bin/dvips: em:graph: xcas-areaat.png: File not found ] [712 /usr/bin/dvips: em:graph: xcas-areaatraw.png: File not found /usr/bin/dvips: em:graph: xcas-arealegend.png: File not found ] [713] [714 /usr/bin/dvips: em:graph: xcas-anglea.png: File not found ] [715 /usr/bin/dvips: em:graph: xcas-angleblank.png: File not found /usr/bin/dvips: em:graph: xcas-anglebigA.png: File not found /usr/bin/dvips: em:graph: xcas-plotarea1.png: File not found ] [716 /usr/bin/dvips: em:graph: xcas-plotarea2.png: File not found /usr/bin/dvips: em:graph: xcas-plotarea3.png: File not found ] [717] [718] [719] [720 /usr/bin/dvips: em:graph: xcas-translation1.png: File not found /usr/bin/dvips: em:graph: xcas-translation2.png: File not found ] [721 /usr/bin/dvips: em:graph: xcas-reflection1.png: File not found /usr/bin/dvips: em:graph: xcas-reflection2.png: File not found /usr/bin/dvips: em:graph: xcas-reflection3.png: File not found ] [722 /usr/bin/dvips: em:graph: xcas-rotation1.png: File not found /usr/bin/dvips: em:graph: xcas-rotation2.png: File not found ] [723 /usr/bin/dvips: em:graph: xcas-rotation3.png: File not found /usr/bin/dvips: em:graph: xcas-homothety1.png: File not found /usr/bin/dvips: em:graph: xcas-homothety2.png: File not found ] [724 /usr/bin/dvips: em:graph: xcas-homothety3.png: File not found 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xcas-harmdiv2.png: File not found ] [741 /usr/bin/dvips: em:graph: xcas-harmconj.png: File not found /usr/bin/dvips: em:graph: xcas-harmconj2.png: File not found ] [742 /usr/bin/dvips: em:graph: xcas-polar.png: File not found /usr/bin/dvips: em:graph: xcas-pole.png: File not found ] [743 /usr/bin/dvips: em:graph: xcas-reciprocation.png: File not found ] [744 /usr/bin/dvips: em:graph: xcas-locus1.png: File not found /usr/bin/dvips: em:graph: xcas-locus2.png: File not found ] [745 /usr/bin/dvips: em:graph: xcas-locus3.png: File not found ] [746 /usr/bin/dvips: em:graph: xcas-locus4.png: File not found /usr/bin/dvips: em:graph: xcas-locus5.png: File not found /usr/bin/dvips: em:graph: xcas-envelope1.png: File not found ] [747 /usr/bin/dvips: em:graph: xcas-envelope2.png: File not found ] [748] [749 /usr/bin/dvips: em:graph: xcas-3dscreen.png: File not found ] [750 /usr/bin/dvips: em:graph: xcas-3dunit.png: File not found ] [751 /usr/bin/dvips: em:graph: xcas-3dunitblue.png: File not found /usr/bin/dvips: em:graph: xcas-3dpoint.png: File not found ] [752 /usr/bin/dvips: em:graph: xcas-3dplane.png: File not found ] [753] [754] [755] [756 /usr/bin/dvips: em:graph: xcas-3dline1.png: File not found ] [757 /usr/bin/dvips: em:graph: xcas-3dline2.png: File not found /usr/bin/dvips: em:graph: xcas-3dline3.png: File not found ] [758 /usr/bin/dvips: em:graph: xcas-3dhalfline.png: File not found /usr/bin/dvips: em:graph: xcas-3dsegment.png: File not found ] [759 /usr/bin/dvips: em:graph: xcas-3dvector1.png: File not found /usr/bin/dvips: em:graph: xcas-3dvector2.png: File not found ] [760 /usr/bin/dvips: em:graph: xcas-3dvector3.png: File not found /usr/bin/dvips: em:graph: xcas-3dparallel.png: File not found ] [761 /usr/bin/dvips: em:graph: xcas-3dparallel2.png: File not found /usr/bin/dvips: em:graph: xcas-3dparallel3.png: File not found ] [762 /usr/bin/dvips: em:graph: xcas-3dparallel4.png: File not found /usr/bin/dvips: em:graph: xcas-3dperp1.png: File not found ] [763 /usr/bin/dvips: em:graph: xcas-3dperp2.png: File not found ] [764 /usr/bin/dvips: em:graph: xcas-3dorthog1.png: File not found /usr/bin/dvips: em:graph: xcas-3dorthog2.png: File not found ] [765 /usr/bin/dvips: em:graph: xcas-3dcomperp.png: File not found ] [766 /usr/bin/dvips: em:graph: xcas-3dplane1.png: File not found /usr/bin/dvips: em:graph: xcas-3dplane2.png: File not found ] [767 /usr/bin/dvips: em:graph: xcas-3dspheretan.png: File not found /usr/bin/dvips: em:graph: xcas-3dgraphtan.png: File not found ] [768 /usr/bin/dvips: em:graph: xcas-3dtriangle.png: File not found ] [769 /usr/bin/dvips: em:graph: xcas-3disotriangle.png: File not found /usr/bin/dvips: em:graph: xcas-3disotriangle2.png: File not found ] [770 /usr/bin/dvips: em:graph: xcas-3drttriangle.png: File not found ] [771 /usr/bin/dvips: em:graph: xcas-3drttriangle2.png: File not found /usr/bin/dvips: em:graph: xcas-3drttriangle3.png: File not found ] [772 /usr/bin/dvips: em:graph: xcas-3dequitriangle.png: File not 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/usr/bin/dvips: em:graph: xcas-3dppiped.png: File not found ] [809 /usr/bin/dvips: em:graph: xcas-3dppiped2.png: File not found /usr/bin/dvips: em:graph: xcas-3dprism.png: File not found ] [810 /usr/bin/dvips: em:graph: xcas-3dpolyhedron.png: File not found ] [811 /usr/bin/dvips: em:graph: xcas-3dlinesegs.png: File not found ] [812 /usr/bin/dvips: em:graph: xcas-3dctetra.png: File not found /usr/bin/dvips: em:graph: xcas-3dccube.png: File not found ] [813 /usr/bin/dvips: em:graph: xcas-3dccube2.png: File not found /usr/bin/dvips: em:graph: xcas-3doct.png: File not found ] [814 /usr/bin/dvips: em:graph: xcas-3ddod.png: File not found /usr/bin/dvips: em:graph: xcas-3ddod2.png: File not found ] [815 /usr/bin/dvips: em:graph: xcas-3dico.png: File not found /usr/bin/dvips: em:graph: xcas-3dico2.png: File not found ] [816] [817] [818] [819] [820 /usr/bin/dvips: em:graph: xcas-image1234.png: File not found ] [821 /usr/bin/dvips: em:graph: xcas-image2134.png: File not found /usr/bin/dvips: em:graph: xcas-image2.png: File not found ] [822] [823] [824] [825] [826] tdir=`echo cascmd_en.tex | sed -e 's/\.tex//'`; \ /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d $tdir ; \ hacha $tdir.html -o $tdir/index.html ; \ touch $tdir.png ; \ /bin/cp -f $tdir*.png $tdir cascmd_en.html:3418: Warning, cannot find anchor: ssec%3ACST touch cascmd_en.stamp make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/en' Making all in es make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/es' restore=: && backupdir=".am$$" && \ am__cwd=`pwd` && CDPATH="${ZSH_VERSION+.}:" && cd . && \ rm -rf $backupdir && mkdir $backupdir && \ if (/bin/bash '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/missing' makeinfo --version) >/dev/null 2>&1; then \ for f in giac_es.info giac_es.info-[0-9] giac_es.info-[0-9][0-9] giac_es.i[0-9] giac_es.i[0-9][0-9]; do \ if test -f $f; then mv $f $backupdir; restore=mv; else :; fi; \ done; \ else :; fi && \ cd "$am__cwd"; \ if /bin/bash '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/missing' makeinfo -I . \ -o giac_es.info giac_es.texinfo; \ then \ rc=0; \ CDPATH="${ZSH_VERSION+.}:" && cd .; \ else \ rc=$?; \ CDPATH="${ZSH_VERSION+.}:" && cd . && \ $restore $backupdir/* `echo "./giac_es.info" | sed 's|[^/]*$||'`; \ fi; \ rm -rf $backupdir; exit $rc TEXINPUTS=.:$TEXINPUTS /usr/bin/pdflatex cas_es.tex TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas_es.tex This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./cas_es.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03>entering extended mode (./cas_es.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo) (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls) Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def)) No file cas_es.aux. [1] Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4]) (./cas_es.aux) Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_es.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_es.dvi (5 pages, 15572 bytes). Transcript written on cas_es.log. TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas_es.tex [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_es.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. Output written on cas_es.pdf (5 pages, 118085 bytes). Transcript written on cas_es.log. TEXINPUTS=.:$TEXINPUTS /usr/bin/pdflatex cas_es.tex This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (./cas_es.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo)) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.defentering extended mode (./cas_es.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03>) (./cas_es.aux) (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo) [1]) Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def) (./cas_es.aux) LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] [1 Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map] (./cas_es.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_es.dvi (5 pages, 15572 bytes). Transcript written on cas_es.log. if /bin/grep -E -q -e '\\makeindex' cas_es.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo cas_es.dvi | sed -e s/\.dvi/\.idx/` ; \ fi TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas_es.tex }] Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_es.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_es.pdf (5 pages, 118085 bytes). Transcript written on cas_es.log. if /bin/grep -E -q -e '\\makeindex' cas_es.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo cas_es.pdf | sed -e s/\.pdf/\.idx/` ; \ fi TEXINPUTS=.:$TEXINPUTS /usr/bin/pdflatex cas_es.tex This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (./cas_es.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo)) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def) (./cas_es.aux) [1] Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_es.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_es.dvi (5 pages, 15572 bytes). Transcript written on cas_es.log. entering extended mode (./cas_es.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03>/usr/bin/dvips -o cas_es.ps cas_es.dvi (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo)) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def) (./cas_es.aux) [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]This is dvips(k) 2020.1 Copyright 2020 Radical Eye Software (www.radicaleye.com) ' TeX output 2021.10.19:1514' -> cas_es.ps Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] . LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_es.aux)[1] [2 LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_es.pdf (5 pages, 118085 bytes). Transcript written on cas_es.log. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/es' Making all in fr make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' cp "../giacfr.tex" "giacfr.tex" XCAS_ROOT=../../ ../../src/icas algo.tex hevea -fix algo.tex // Using locale /usr/share/locale/ // C.UTF-8 // /usr/share/locale/ // giac // UTF-8 // Maximum number of parallel threads 32 Help file ../../doc/local/aide_cas not found Added 0 synonyms ./algo.tex:6: Warning: Command not found: \textheight /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'colorlinks' Exclude comment 'comment' ./algo.tex:134: Warning: Undefined label: 'sec:calculer' ./algo.tex:135: Warning: Undefined label: 'sec:intnum' ./algo.tex:136: Warning: Undefined label: 'sec:rec' ./algo.tex:136: Warning: Undefined label: 'sec:linalg' ./algo.tex:137: Warning: Undefined label: 'sec:interp' ./algo.tex:137: Warning: Undefined label: 'sec:series' ./algo.tex:139: Warning: Undefined label: 'sec:dft' ./algo.tex:141: Warning: Undefined label: 'sec:calculer' ./algo.tex:142: Warning: Undefined label: 'sec:pgcd' ./algo.tex:142: Warning: Undefined label: 'sec:resultant' ./algo.tex:143: Warning: Undefined label: 'sec:racines' ./algo.tex:143: Warning: Undefined label: 'sec:groebner' ./algo.tex:144: Warning: Undefined label: 'sec:gf' ./algo.tex:145: Warning: Undefined label: 'sec:ifactor' ./algo.tex:146: Warning: Undefined label: 'sec:factor' ./algo.tex:147: Warning: Undefined label: 'sec:intg' ./algo.tex:147: Warning: Undefined label: 'sec:linalg' ./algo.tex:148: Warning: Undefined label: 'sec:agm' ./algo.tex:153: Warning: Undefined label: 'sec:courbes' ./algo.tex:154: Warning: Undefined label: 'sec:courbes_m' ./algo.tex:154: Warning: Undefined label: 'sec:implicite' ./algo.tex:154: Warning: Undefined label: 'sec:diff' ./algo.tex:155: Warning: Undefined label: 'sec:ode' ./algo.tex:155: Warning: Undefined label: 'sec:lagrangien' ./algo.tex:156: Warning: Undefined label: 'sec:soleil' Giac pdflatex and HTML5 output Partly inspired from pgiac by Jean-Michel Sarlat Setting g as generator for Galois field K (auxiliary polynomial variable for addition representation k) Assigning variables g and K Now e.g. g^200+1 will build an element of K ./algo.tex:1231: Warning: Application of '\`' on 'q' failed ./algo.tex:2461: Warning: Undefined label: 'sec:exos_algobase' ./algo.tex:2753: Warning: Undefined label: 'sec:kara' ./algo.tex:2755: Warning: Undefined label: 'sec:fft' ./algo.tex:2910: Warning: '_' occurring outside math mode ./algo.tex:3191: Warning: Undefined label: 'sec:gf' Warning: svd is implemented for numeric matrices ============== restarted =============== ./algo.tex:3437: Warning: Application of '\^' on ' ' failed ./algo.tex:3765: Warning: Undefined label: 'lemme:A' // Parsing f // Success // compiling f // Success // Success // Success // Success // Success // Success // Success // Success // Success // Success // Success // Parsing Somme // Success // compiling Somme ./algo.tex:4832: Warning: Undefined label: 'lemme:majoration' ./algo.tex:4885: Warning: '_' occurring outside math mode ./algo.tex:5599: Warning: Undefined citation: 'buchberger1985grobner' ./algo.tex:5600: Warning: Undefined citation: 'Gebauer1988275' ./algo.tex:5601: Warning: Undefined citation: 'F99a' ./algo.tex:5601: Warning: Undefined citation: 'Fau02a' ./algo.tex:5609: Warning: Undefined citation: 'Arnold2003403' ./algo.tex:5614: Warning: Undefined label: 'sec:probagb' ./algo.tex:5620: Warning: Undefined label: 'sec:learning' ./algo.tex:5626: Warning: Undefined citation: 'joux2011variant' ./algo.tex:5629: Warning: Undefined label: 'sec:giacf4' ./algo.tex:5631: Warning: Undefined citation: 'giac' ./algo.tex:5691: Warning: Undefined citation: 'Arnold2003403' ./algo.tex:5770: Warning: Undefined citation: 'monagan2011sparse' ./algo.tex:5893: Warning: Undefined citation: 'magma' ./algo.tex:5956: Warning: Undefined citation: 'botanaimplementing' ./algo.tex:6105: Warning: Undefined label: 'sec:factorisation_extension' ./algo.tex:6705: Warning: Undefined label: 'sec:courbure' ./algo.tex:6994: Warning: '_' occurring outside math mode ./algo.tex:7402: Warning: Undefined label: 'sec:factorisation_absolue' ./algo.tex:7958: Warning: Undefined label: 'thm:eqdiff' c:6.51924766124e-10 ./algo.tex:8749: Warning: Undefined label: 'sec:existence' ./algo.tex:10023: Warning: Command not found: \vfill ./algo.tex:10041: Warning: Undefined label: 'sec:gf' ./algo.tex:10396: Warning: Undefined label: 'sec:proot' ./algo.tex:11251: Warning: '_' occurring outside math mode ./algo.tex:11309: Warning: Undefined label: 'sec:rur' ./algo.tex:11343: Warning: '_' occurring outside math mode ./algo.tex:11537: Warning: Command not found: \vfill ./algo.tex:11573: Warning: Undefined label: 'sec:elem' ./algo.tex:11580: Warning: Undefined label: 'sec:risch' ./algo.tex:11590: Warning: Undefined label: 'sec:rischref' ./algo.tex:12861: Warning: Undefined label: 'sec:poids' Evaluation time: 0.48 // Parsing pgcdderiv // Warning: x, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling pgcdderiv Warning, the test a==b is performed by checking that the internal representation of regroup./algo.tex:13090: Warning: Undefined label: 'sec:poids' (a-b) is not 0. Therefore a==b may return false even if a and b are mathematically equal, if they have different internal representations. You can explicitly call a simplification function like simplify(a-b)==0 to avoid this. Warning adding 1 ) at end of input :5: syntax error line 5 col 20 at ; in :6: syntax error line 6 col 16 at ; in // Parsing rsym // Warning: r, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling rsym Warning adding 1 ) at end of input :5: syntax error line 5 col 2 at ffunction in =============== Extended Euclide algorithm for a=125 and b=45 L1: 1*a+0*b=125 L2: 0*a+1*b=45 iquo(125,45)=2 L3=L1-2*L2: 1*a+-2*b=35 iquo(45,35)=1 L4=L2-1*L3: -1*a+3*b=10 iquo(35,10)=3 L5=L3-3*L4: 4*a+-11*b=5 iquo(10,5)=2 L6=L4-2*L5: -9*a+25*b=0 Bezout identity 4*a+-11*b=5 =============== Extended Euclide algorithm for a=1234 and b=357 L1: 1*a+0*b=1234 L2: 0*a+1*b=357 iquo(1234,357)=3 L3=L1-3*L2: 1*a+-3*b=163 iquo(357,163)=2 L4=L2-2*L3: -2*a+7*b=31 iquo(163,31)=5 L5=L3-5*L4: 11*a+-38*b=8 iquo(31,8)=3 L6=L4-3*L5: -35*a+121*b=7 iquo(8,7)=1 L7=L5-1*L6: 46*a+-159*b=1 iquo(7,1)=7 L8=L6-7*L7: -357*a+1234*b=0 Bezout identity 46*a+-159*b=1 // Parsing isqrt // Success // compiling isqrt // Parsing rapide // Success // compiling rapide ./algo.tex:13522: Warning: Undefined label: 'sec:jacobi' ./algo.tex:13784: Warning: Undefined label: 'sec:autres_algorithmes' ./algo.tex:14080: Warning: Undefined label: 'sec:LU' ./algo.tex:15459: Warning: Application of '\`' on 's' failed ./algo.tex:15996: Warning: Application of '\'' on 'd' failed ./algo.tex:18561: Warning: Application of '\^' on 'm' failed ./algo.tex:18770: Warning: Undefined label: 'sec:dureesaison' ./algo.tex:19066: Warning: Cannot find file: ellipse ./algo.tex:19070: Warning: Undefined label: 'fig:ell' Setting g as generator for Galois field K (auxiliary polynomial variable for addition representation k) Assigning variables g and K Now e.g. g^200+1 will build an element of K // Parsing Base // Success // compiling Base // Parsing F // Success // compiling F ./algo.tex:19806: Warning: Undefined label: 'sec:concurrents' HeVeA Warning: Label(s) may have changed. Rerun me to get cross-references right. HeVeA Warning: Index(es) may have changed. Rerun me to get them right. HeVeA Warning: images may have changed, run 'imagen -pdf algo' Run, run, again... ./algo.tex:6: Warning: Command not found: \textheight /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'colorlinks' Exclude comment 'comment' Evaluation time: 0.45 2147483646 634005911 1537170743 2139961118 262144 1070630005 1064260849 // Parsing r // Warning: a,etat,m, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling r // Parsing pgcd // Warning: poly12symb,x, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling pgcd ./algo.tex:155: Warning: Undefined label: 'sec:ode' // Parsing descartes // Success // compiling descartes // Parsing isole01 // Warning: descartes,isole01, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling isole01 // Parsing isole // Warning: x,isole01, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling isole isole01: recursive definition Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(x^5+98*x^4-65*x^3+57*x^2+94*x+86,x,` _x`) // Success // Groebner basis computation time 0.005455 Memory 47.512M // Parsing X // Success // compiling X // Parsing Y // Success // compiling Y // Parsing X // Success // compiling X // Parsing Y // Success // compiling Y Warning, ^ is ambiguous on non square matrices. Use .^ to apply ^ element by element. Warning, ^ is ambiguous on non square matrices. Use .^ to apply ^ element by element. Warning, ^ is ambiguous on non square matrices. Use .^ to apply ^ element by element. Warning, ^ is ambiguous on non square matrices. Use .^ to apply ^ element by element. Variable t should be purged Ellipsis of center (0,0) Variable t should be purged Hyperbola of center (0,0) Variable t should be purged Variable t should be purged Ellipsis of center (0,0) Warning, ^ is ambiguous on non square matrices. Use .^ to apply ^ element by element. Warning, ^ is ambiguous on non square matrices. Use .^ to apply ^ element by element. ============== restarted =============== No checks were made for singular points of antiderivative 2/4*t*sqrt(4*t^2+1)-1/4*ln(sqrt(4*t^2+1)-2*t) for definite integration in [t0,t1] Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real): Check [abs(t_nostep)] Warning: vanishing non integral power expansion Warning: vanishing non integral power expansion No checks were made for singular points of antiderivative sqrt(pi)/((-1+i)/2*sqrt(2))/2*erf((-1+i)/2*sqrt(2)*t) for definite integration in [0,s] ./algo.tex:1231: Warning: Application of '\`' on 'q' failed ./algo.tex:2910: Warning: '_' occurring outside math mode ./algo.tex:3437: Warning: Application of '\^' on ' ' failed ./algo.tex:4885: Warning: '_' occurring outside math mode ./algo.tex:5599: Warning: Undefined citation: 'buchberger1985grobner' ./algo.tex:5600: Warning: Undefined citation: 'Gebauer1988275' ./algo.tex:5601: Warning: Undefined citation: 'F99a' ./algo.tex:5601: Warning: Undefined citation: 'Fau02a' ./algo.tex:5609: Warning: Undefined citation: 'Arnold2003403' ./algo.tex:5626: Warning: Undefined citation: 'joux2011variant' ./algo.tex:5631: Warning: Undefined citation: 'giac' ./algo.tex:5691: Warning: Undefined citation: 'Arnold2003403' ./algo.tex:5770: Warning: Undefined citation: 'monagan2011sparse' ./algo.tex:5893: Warning: Undefined citation: 'magma' ./algo.tex:5956: Warning: Undefined citation: 'botanaimplementing' ./algo.tex:6994: Warning: '_' occurring outside math mode ./algo.tex:10023: Warning: Command not found: \vfill ./algo.tex:11251: Warning: '_' occurring outside math mode ./algo.tex:11343: Warning: '_' occurring outside math mode ./algo.tex:11537: Warning: Command not found: \vfill ./algo.tex:15459: Warning: Application of '\`' on 's' failed ./algo.tex:15996: Warning: Application of '\'' on 'd' failed ./algo.tex:18561: Warning: Application of '\^' on 'm' failed ./algo.tex:19066: Warning: Cannot find file: ellipse Fixpoint reached in 2 step(s) Now, I am running imagen for you RESOLUTION: 100 This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (./algo.image.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls Document Class: book 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg) (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvipdfmx.def))) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/bmpsize.sty (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty) (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty) (/usr/share/texlive/texmf-dist/tex/latex/psnfss/times.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty (/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1ptm.fd)) (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.sty (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.def (/usr/share/texlive/texmf-dist/tex/generic/babel/txtbabel.def)) (/usr/share/texlive/texmf-dist/tex/generic/babel-french/francais.ldf Package francais.ldf Warning: Option `francais' for Babel is *deprecated*, (francais.ldf) it might be removed sooner or later. Please (francais.ldf) use `french' instead; reported on input line 31. (/usr/share/texlive/texmf-dist/tex/generic/babel-french/french.ldf))) (/usr/share/texlive/texmf-dist/tex/latex/carlisle/scalefnt.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty) Evaluation time: 1.55 (/usr/share/texlive/texmf-dist/tex/latex/pst-plot/pst-plot.sty (/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg) (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.defLow accuracy, error estimate 1.32949196183e-08 Error might be underestimated if initial boundary was +/-infinity )// Parsing Euler // Success // compiling Euler // Parsing f // Success // compiling f // Parsing crible // Warning: j, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling crible )// Parsing sym // Warning: sym, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling sym ============== restarted =============== sym: recursive definition (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex// Parsing f // Success // compiling f (/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex))))No checks were made for singular points of antiderivative 0.666666666667*x^3*fb-1.33333333333*x^3*fm+0.666666666667*x^3*fa-0.5*x^2*fb+2.0*x^2*fm-1.5*x^2*fa+fa*x for definite integration in [0,1.0] // Parsing f // Success // compiling f // Parsing N // Success // compiling N (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex `pst-fp' v0.05, 2010/01/17 (hv)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.t ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex Loading pgffor.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code .tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet ric.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod e.tex)No checks were made for singular points of antiderivative (32/5*x^5*f4-128/5*x^5*f3+192/5*x^5*f2-128/5*x^5*f1+32/5*x^5*f0-12*x^4*f4+56*x^4*f3-96*x^4*f2+72*x^4*f1-20*x^4*f0+22/3*x^3*f4-112/3*x^3*f3+76*x^3*f2-208/3*x^3*f1+70/3*x^3*f0-3/2*x^2*f4+8*x^2*f3-18*x^2*f2+24*x^2*f1-25/2*x^2*f0)/3+f0*x for definite integration in [0,1] (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison .code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code. tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code .tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code. tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari thmetics.code.tex))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex// Parsing f // Success // compiling f // Parsing f // Success // compiling f ))) `PSTricks' v3.01 <2020/09/18> (tvz,hv) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con)// Parsing f // Success // compiling f Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success Warning, evaluating univariate expression of x(value) like if expression was a function. You should write subst(46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,x,` _x`) // Success // Parsing f // Success // compiling f ) (/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex)) (/usr/share/texlive/texmf-dist/tex/latex/xkeyval/pst-xkey.sty) (/usr/share/texlive/texmf-dist/tex/latex/multido/multido.sty (/usr/share/texlive/texmf-dist/tex/generic/multido/multido.tex v1.42, 2010/05/14 )) (/usr/share/texlive/texmf-dist/tex/generic/pst-plot/pst-plot.tex (/usr/share/texlive/texmf-dist/tex/generic/pst-tools/pst-tools.tex `PST-tools' v0.10, 2020/03/24 (hv)) (/usr/share/texlive/texmf-dist/tex/generic/pstricks-add/pstricks-add.tex (/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex v1.42a, 2020/04/01) (/usr/share/texlive/texmf-dist/tex/generic/pst-arrow/pst-arrow.tex `pst-arrow' v0.01, 2016/09/01 (dr,hv)) (/usr/share/texlive/texmf-dist/tex/generic/pst-3d/pst-3d.tex `PST-3d' v1.11, 2010/02/14 (tvz)) (/usr/share/texlive/texmf-dist/tex/generic/pst-math/pst-math.tex `pst-math' v0.64 , (CJ,hv)) `pstricks-add' v3.89a, 2020/02/12 (dr,hv)) v1.92, 2019/05/16 (tvz,hv))) (/usr/share/texlive/texmf-dist/tex/generic/iftex/ifpdf.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty (/usr/share/texlive/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty) (/usr/share/texlive/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty (/usr/share/texlive/texmf-dist/tex/generic/infwarerr/infwarerr.sty)) (/usr/share/texlive/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty) (/usr/share/texlive/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty) (/usr/share/texlive/texmf-dist/tex/generic/pdfescape/pdfescape.sty) (/usr/share/texlive/texmf-dist/tex/latex/hycolor/hycolor.sty) (/usr/share/texlive/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty) (/usr/share/texlive/texmf-dist/tex/latex/auxhook/auxhook.sty) (/usr/share/texlive/texmf-dist/tex/latex/kvoptions/kvoptions.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def) (/usr/share/texlive/texmf-dist/tex/generic/intcalc/intcalc.sty) (/usr/share/texlive/texmf-dist/tex/generic/etexcmds/etexcmds.sty) (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty) (/usr/share/texlive/texmf-dist/tex/generic/bitset/bitset.sty (/usr/share/texlive/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty)) (/usr/share/texlive/texmf-dist/tex/latex/base/atbegshi-ltx.sty)) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def (/usr/share/texlive/texmf-dist/tex/latex/base/atveryend-ltx.sty) (/usr/share/texlive/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty (/usr/share/texlive/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty))) (/usr/share/texmf/tex/latex/misc/hevea.sty (/usr/share/texlive/texmf-dist/tex/latex/comment/comment.sty Excluding comment 'comment') Excluding comment 'rawhtml' Excluding comment 'htmlonly') (/usr/share/texlive/texmf-dist/tex/latex/listings/listings.sty (/usr/share/texlive/texmf-dist/tex/latex/listings/lstmisc.sty) (/usr/share/texlive/texmf-dist/tex/latex/listings/listings.cfg)) (/usr/share/texlive/texmf-dist/tex/latex/fancyvrb/fancyvrb.sty) (/usr/share/texmf/tex/latex/misc/mathjax.sty) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def) No file algo.image.aux. 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Output may be incorrect. tdir=`echo algo.tex | sed -e 's/\.tex//'`; \ imagen -png -pdf -mag 2000 $tdir; \ /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d $tdir ; \ hacha $tdir.html -o $tdir/index.html ; \ touch $tdir.png ; \ cp -r $tdir*.png $tdir ; \ touch algo.stamp RESOLUTION: 200 This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (./algo.image.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls Document Class: book 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg) (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvipdfmx.def))) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/bmpsize.sty (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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(/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ) (/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty (/usr/share/texlive/texmf-dist/tex/latex/grfext/grfext.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg)) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty) (/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty)) (./algo.image.out) (./algo.image.out) Overfull \hbox (17.0pt too wide) in paragraph at lines 1188--1189 [][] [1 Non-PDF special ignored! header=pstricks.pro Non-PDF special ignored! header=pst-algparser.pro Non-PDF special ignored! header=pst-tools.pro Non-PDF special ignored! header=pst-dots.pro Non-PDF special ignored! header=pst-node.pro Non-PDF special ignored! header=pst-3d.pro Non-PDF special ignored! header=pst-math.pro Non-PDF special ignored! header=pstricks-add.pro Non-PDF special ignored! ps: /pssetRGBcolor /setrgbcolor load def /pssetCMYKcolor /setcmyk... Non-PDF special ignored! ps:tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end Non-PDF special ignored! ps:tx@Dict begin gsave STV CP T /ps@refangle 0. def grestore e... Non-PDF special ignored! ps:tx@Dict begin gsave STV CP T /ps@rot 0 def grestore end <./ellipse.png>] (./algo.image.aux) ) (see the transcript file for additional information) Output written on algo.image.pdf (1 page, 4172 bytes). Transcript written on algo.image.log. **** Error: File did not complete the page properly and may be damaged. Output may be incorrect. Evaluation time: 3.03 // Parsing f // Success // compiling f // Parsing piv // Warning: L,C,l,c,j, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling piv // Parsing dunford // Success // compiling dunford y=1*x+0.5 , R2=0.5 y=1.32*x+-2.68 , R2=0.989 // Parsing jacobi // Success // compiling jacobi // Parsing seidel // Success // compiling seidel // Parsing f // Success // compiling f // Parsing dd // Success // compiling dd // Parsing l // Warning: x,j, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling l ============== restarted =============== // Parsing f // Success // compiling f // Parsing t // Warning: x,j, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling t algo.html:6020: Error while reading HTML: intag: attribute syntax Adios Evaluation time: 3.73 // Parsing S // Warning: x, declared as global variable(s). If symbolic variables are required, declare them as local and run purge // compiling S ============== restarted =============== Setting h as series variable name // Warning: h, declared as global variable(s). If symbolic variables are required, declare them as local and run purge Assigning O so that you can use use O(h^...) notation Setting g as generator for Galois field K (auxiliary polynomial variable for addition representation k) Assigning variables g and K Now e.g. g^200+1 will build an element of K 63,2113929217 60,2013265921 54,1811939329 51,1711276033 33,1107296257 14,469762049 5,167772161 2,1314723123,815036133,1 3,698542797,1956349769,1 4,698542797,609564788,1 5,1314723123,1,1 6,1,645581151,1 7,1314723123,609564788,1 8,1,1956349769,1 9,1314723123,815036133,1 10,698542797,815036133,1 11,1,645581151,2013265920 12,1314723123,1,1 13,1314723123,1956349769,1 14,698542797,1956349769,1 15,1,1956349769,1 16,1314723123,645581151,1 17,1314723123,645581151,1 18,698542797,609564788,1 19,1,1956349769,1 20,1,609564788,1 21,1,1,1 22,1314723123,1,2013265920 23,1,815036133,2013265920 24,698542797,815036133,1 25,698542797,1,1 26,698542797,645581151,1 27,1,645581151,1 28,1,645581151,1 29,1,645581151,1 30,1314723123,645581151,1 31,1314723123,645581151,2013265920 sh: 1: hevea2mml: not found Couldn't find input index file algo_ nor algo_.idx. 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Underfull \hbox (badness 10000) in paragraph at lines 156--157 Underfull \hbox (badness 10000) in paragraph at lines 161--162 Underfull \hbox (badness 10000) in paragraph at lines 165--166 Underfull \hbox (badness 10000) in paragraph at lines 170--171 Underfull \hbox (badness 10000) in paragraph at lines 175--176 [7] Underfull \hbox (badness 10000) in paragraph at lines 180--181 Underfull \hbox (badness 10000) in paragraph at lines 185--186 Underfull \hbox (badness 10000) in paragraph at lines 189--190 Underfull \hbox (badness 10000) in paragraph at lines 217--218 Underfull \hbox (badness 10000) in paragraph at lines 219--220 Underfull \hbox (badness 10000) in paragraph at lines 220--224 [8] Underfull \hbox (badness 10000) in paragraph at lines 232--233 Underfull \hbox (badness 10000) in paragraph at lines 242--243 Underfull \hbox (badness 10000) in paragraph at lines 246--247 Underfull \hbox (badness 10000) in paragraph at lines 250--251 Overfull \hbox (298.59003pt too wide) detected at line 265 \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 5\OML/cmm/m/it/10.95 x[] \OT1/cmr/ m/n/10.95 + 7\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + 1\OML/cmm/m/it/10.95 ; x[] \OT1/cmr/m/n/10.95 + 4\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + \OML/cmm /m/it/10.95 x \OT1/cmr/m/n/10.95 + 1\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1\ OML/cmm/m/it/10.95 ; [] ; \OT1/cmr/m/n/10.95 105\OML/cmm/m/it/10.95 ; [] ; x[] Overfull \hbox (198.94382pt too wide) detected at line 273 [] [] \OML/cmm/m/it/10.95 ; [] ; [] [] [] ; [] [] [] [] [9] Underfull \hbox (badness 10000) in paragraph at lines 278--279 Underfull \hbox (badness 10000) in paragraph at lines 282--283 Overfull \hbox (231.70818pt too wide) detected at line 283 \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 86\OML/cmm/m/it/10.95 x[] \OMS/cms y/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 97\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.9 5 ^^@ \OT1/cmr/m/n/10.95 82\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 7\OML/c mm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 27\OML/cmm/m/it/10 .95 x[] \OT1/cmr/m/n/10.95 + 26\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^@ \O T1/cmr/m/n/10.95 89\OML/cmm/m/it/10.95 ; x[] \OT1/cmr/m/n/10.95 + 63\OML/cmm/m/ it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 49\OML/cmm/m/it/10.95 x [] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 86\OML/cmm/m/it/10.95 x[] \OMS/cm sy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 64\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10. 95 ^^@ \OT1/cmr/m/n/10.95 30\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 70\OML /cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + 22\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10. 95 1693837261859971750137137 Underfull \hbox (badness 10000) in paragraph at lines 285--286 Overfull \hbox (221.61728pt too wide) detected at line 286 [] \OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1693837261859971750137137 Underfull \hbox (badness 10000) in paragraph at lines 289--290 Underfull \hbox (badness 10000) in paragraph at lines 293--294 Underfull \hbox (badness 10000) in paragraph at lines 302--303 Underfull \hbox (badness 10000) in paragraph at lines 307--308 Overfull \hbox (153.11176pt too wide) detected at line 308 [][] \OML/cmm/m/it/10.95 ; x[] \OT1/cmr/m/n/10.95 + [] \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + [] \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + [] \OML/cm m/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + [] \OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10. 95 + [] \OML/cmm/m/it/10.95 ; [] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 x [10] Underfull \hbox (badness 10000) in paragraph at lines 318--319 Underfull \hbox (badness 10000) in paragraph at lines 322--323 Overfull \hbox (34.77457pt too wide) in paragraph at lines 328--328 []\T1/pcr/m/n/10.95 m:=ranm(3,3); p,l,u:=lu(m); permu2mat(p)*m-l*u;linsolve[] Overfull \hbox (202.5091pt too wide) detected at line 329 [] \OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] ; [] Underfull \hbox (badness 10000) in paragraph at lines 332--333 Overfull \hbox (1115.58754pt too wide) detected at line 333 []\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 1289070585253 0561304158695763831257978130299012430251613733806489198010631872497924939018186 6490037455022256590082657173653308897100982388248825733825051375638301053736889 4763153602538278371057910999635120792226432207062430125997231983770609156393685 75816 Overfull \hbox (104.06825pt too wide) detected at line 341 [] \OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] Underfull \hbox (badness 10000) in paragraph at lines 344--345 Underfull \hbox (badness 10000) in paragraph at lines 348--349 Overfull \hbox (344.65457pt too wide) detected at line 349 [] \OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] ; [] [11] Underfull \hbox (badness 10000) in paragraph at lines 358--359 Underfull \hbox (badness 10000) in paragraph at lines 362--363 Underfull \hbox (badness 10000) in paragraph at lines 366--367 Underfull \hbox (badness 10000) in paragraph at lines 371--372 Underfull \hbox (badness 10000) in paragraph at lines 376--377 Underfull \hbox (badness 10000) in paragraph at lines 380--381 Overfull \hbox (985.26332pt too wide) detected at line 391 [] \OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] ; [] ; [] Underfull \hbox (badness 10000) in paragraph at lines 394--395 Overfull \hbox (744.85736pt too wide) detected at line 395 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 398--399 Overfull \hbox (245.53662pt too wide) detected at line 399 [] \OML/cmm/m/it/10.95 ; [] ; [] [12] Underfull \hbox (badness 10000) in paragraph at lines 402--403 Overfull \hbox (3385.16054pt too wide) detected at line 409 [] \OML/cmm/m/it/10.95 ; [] ; []; []; []; [] Underfull \hbox (badness 10000) in paragraph at lines 412--413 Overfull \hbox (854.47186pt too wide) detected at line 413 [] \OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] Underfull \hbox (badness 10000) in paragraph at lines 416--417 [13] [14] Chapitre 3. Underfull \hbox (badness 10000) in paragraph at lines 430--433 Underfull \hbox (badness 10000) in paragraph at lines 455--458 Underfull \hbox (badness 10000) in paragraph at lines 459--460 Underfull \hbox (badness 10000) in paragraph at lines 460--463 Underfull \hbox (badness 10000) in paragraph at lines 464--465 [15] Overfull \hbox (0.15712pt too wide) in paragraph at lines 502--511 []\T1/ptm/m/n/10.95 Les lo-gi-ciels de cal-cul for-mel et cer-tains lo-gi-ciels de pro-gram-ma-tion per-mettent [16] [17] Overfull \hbox (3.2579pt too wide) in paragraph at lines 606--614 \T1/ptm/m/n/10.95 ar-ron-dit, donc trois cin-quièmes est re-pré-senté par la ma n-tisse [][]\T1/pcr/m/n/10.95 1001100110 [18] Underfull \hbox (badness 10000) in paragraph at lines 702--711 [19] [20] Underfull \hbox (badness 10000) in paragraph at lines 800--802 Underfull \hbox (badness 10000) in paragraph at lines 803--804 [21] [22] Overfull \hbox (934.84776pt too wide) detected at line 920 \OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 7! \OT1/cmr/m/n/10.95 e[]\OML/cmm/m/i t/10.95 ; [] [23] Underfull \hbox (badness 10000) in paragraph at lines 998--999 Overfull \hbox (18.75183pt too wide) in paragraph at lines 1018--1031 \T1/ptm/m/n/10.95 valles res-pec-tifs. Exemple en Xcas (ver-sion 1.1.1 et ul-té -rieures) : [][]\T1/pcr/m/n/10.95 [-1..2]*[-1..2] [24] Overfull \hbox (1.89044pt too wide) in paragraph at lines 1041--1047 []\T1/ptm/m/n/10.95 L'arithmétique d'in-ter-valle dans $\U/msb/m/n/10.95 C$ \T1 /ptm/m/n/10.95 est beau-coup plus dif-fi-cile à mettre en oeuvre [25] [26] Underfull \hbox (badness 10000) in paragraph at lines 1197--1198 Overfull \hbox (1158.06143pt too wide) detected at line 1198 [][] \OMS/cmsy/m/n/10.95 ^^@ [][] \OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 7 [] [] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 6 [][] \OML/cmm/m/it/10.95 ; []x[ ] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML /cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/ m/n/10.95 + []\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10. 95 ; []x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x \O T1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 ; []; []; []; [] [27] [28] [29] [30] Overfull \hbox (2.61107pt too wide) in paragraph at lines 1450--1462 []\T1/ptm/m/n/10.95 Une ri-gi-dité de la syn-taxe po-lo-naise est que les fonc- tions ont tou-jours un nombre [31] [32] [33] [34] [35] [36] Underfull \hbox (badness 10000) in paragraph at lines 1787--1788 LaTeX Warning: Reference `eq:base' on page 37 undefined on input line 1801. Overfull \hbox (11.99855pt too wide) in paragraph at lines 1812--1817 []\T1/ptm/m/n/10.95 Exercice : la com-mande [][]\T1/pcr/m/n/10.95 b:=convert(N, base,b) []\T1/ptm/m/n/10.95 de Xcas ef-fec-tue la conver- [37] [38] Underfull \hbox (badness 10000) in paragraph at lines 1910--1912 Underfull \hbox (badness 10000) in paragraph at lines 1913--1914 [39] [40] Underfull \hbox (badness 10000) in paragraph at lines 2031--2032 [41] [42] Underfull \hbox (badness 10000) in paragraph at lines 2131--2132 [43] Underfull \hbox (badness 10000) in paragraph at lines 2218--2221 [44] [45] [46] [47] Overfull \hbox (0.8483pt too wide) in paragraph at lines 2502--2509 []\T1/ptm/m/n/10.95 Au lieu de la di-vi-sion eu-cli-dienne, on uti-lise très so u-vent la \T1/ptm/b/n/10.95 pseudo-division[] [48] Underfull \hbox (badness 10000) in paragraph at lines 2539--2549 Overfull \hbox (8.4946pt too wide) in paragraph at lines 2552--2552 []\T1/pcr/m/n/10.95 step_infolevel:=1;iegcd(1234,357);step_infolevel:=0[] Overfull \hbox (25.02553pt too wide) in paragraph at lines 2553--2556 \T1/ptm/m/n/10.95 Voir aussi dans Xcas la ses-sion exemple de-puis le menu Exem ple,arit,bezout.xws. [49] Overfull \hbox (16.94736pt too wide) detected at line 2576 \OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 a[]; b[] \OT1 /cmr/m/n/10.95 = \OML/cmm/m/it/10.95 b[]x \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10 .95 a[]; b[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 b[]x \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 a[]; :::: b[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 b[ ]x \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 a[] \OT1/cmr/m/n/10.95 = \OML/cmm/m /it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) LaTeX Warning: Reference `sec:exos_algobase' on page 50 undefined on input line 2582. [50] Underfull \hbox (badness 10000) in paragraph at lines 2656--2657 [51] [52] LaTeX Warning: Reference `eq:fraccon' on page 53 undefined on input line 2747. LaTeX Warning: Reference `eq:fraccon1' on page 53 undefined on input line 2748. [53] Underfull \hbox (badness 10000) in paragraph at lines 2787--2788 Overfull \hbox (0.6509pt too wide) in paragraph at lines 2809--2812 []\T1/ptm/m/n/10.95 On peut main-te-nant fa-ci-le-ment mon-trer que ces deux fo nc-tions sont ré-ci-proques Overfull \hbox (8.37265pt too wide) detected at line 2813 \OML/cmm/m/it/10.95 c \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/ 10.95 ([]\OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 a[]\OT 1/cmr/m/n/10.95 ([]\OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10 .95 a\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 a[]\OT1/cmr/m/n/10.95 )[]([]\OML/c mm/m/it/10.95 n\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 a\OT1/cmr/m/n/10.95 ( []\OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 2816--2818 [54] Overfull \hbox (3476.76254pt too wide) detected at line 2822 \OT1/cmr/m/n/10.95 107687461012532987723531479067291582784743302838416645567990 1904549727337607752022688610037880301929715804038012288048929823306624875080584 23089801783\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 745044482333722276060632231 1756757615496005700561429409839176151701186421969568411396043943845343372648633 2158965541689975453476315035773455450591997955721275500323338525903955433069155 094842538819919\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 80231948643915539938683 9742513945551202950736196857484457271805611336902082779855029404563859893026178 1896658593625375892668832725436882373412590912775759825063154757060979572279091 5929048604161840271809830356201356043443671168095262821607156787500783256787145 1025094957689684807947382903720851636497981423694132288354011672467453772221801 2442115577 Underfull \hbox (badness 10000) in paragraph at lines 2824--2826 Overfull \hbox (1593.36044pt too wide) detected at line 2830 \OT1/cmr/m/n/10.95 65537\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1\OML/cmm/m/it /10.95 ; \OT1/cmr/m/n/10.95 214202420834427911303104124002723733301768909642437 3316683535221749784362381921528823335162405442464415488133961161835329569961490 4095263879579489936911037326760563485950329029598423138238400687328484428279156 5463722517702227960069790452984625542207351702921339096063685130296461614468769 5969288163379416394113600998518412026547086860711596121209429 Underfull \hbox (badness 10000) in paragraph at lines 2830--2838 Overfull \hbox (1659.06052pt too wide) detected at line 2842 \OT1/cmr/m/n/10.95 123353108\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 3505524364 1368424049853500975564858373306218937222163944476324723584184330006434211585270 6954346663388846585709718260602103607547345396259027364768814383948146354715085 4772981592240322712423986194516196631627253180958818133717424122108175489040064 9663434057201057358393807876613434781976524054745194372507028044627256527883308 38506314797724476170547\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 123353108 Underfull \hbox (badness 10000) in paragraph at lines 2846--2851 Overfull \hbox (854.41481pt too wide) detected at line 2855 []\OML/cmm/m/it/10.95 ; []; \OT1/cmr/m/n/10.95 10000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000002673000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000 000000000801 [55] LaTeX Warning: Reference `sec:kara' on page 56 undefined on input line 2883. LaTeX Warning: Reference `sec:fft' on page 56 undefined on input line 2885. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2889. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 2889. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2889. [56] Overfull \hbox (1.54942pt too wide) in paragraph at lines 2971--2976 \T1/ptm/m/n/10.95 met de pas-ser dans la suite des restes de $\OML/cmm/m/it/10. 95 A; B$ \T1/ptm/m/n/10.95 avec deg$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\O T1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 n$\T1/ptm/m/n/10.95 >deg$\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 B\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 à $\OML/cmm /m/it/10.95 R[]; R[]$ Overfull \hbox (15.9651pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 3.12. ALGORITHMES RAPIDES SUR LES POLYNÔMES EN UNE VARIABLE . \T1/ptm/m/n/10.95 57 [57] Overfull \hbox (10.5205pt too wide) in paragraph at lines 2988--2991 []\T1/ptm/m/n/10.95 on ef-fec-tue une di-vi-sion eu-cli-dienne pour rem-pla-cer $\OML/cmm/m/it/10.95 R[]; R[]$ \T1/ptm/m/n/10.95 par $\OML/cmm/m/it/10.95 R[]; R[]$ Overfull \hbox (21.63458pt too wide) in paragraph at lines 3021--3023 [][]\T1/pcr/m/n/10.95 http://www-fourier.ujf-grenoble.fr/~parisse/giac.html [58] Underfull \vbox (badness 10000) has occurred while \output is active [59] Excluding 'rawhtml' comment. Overfull \hbox (7.91956pt too wide) in paragraph at lines 3040--3057 [][]\T1/pcr/m/n/10.95 http://www-fourier.ujf-grenoble.fr/~parisse/giac_fr.html Overfull \hbox (38.18929pt too wide) in paragraph at lines 3077--3083 \T1/ptm/m/n/10.95 nômes en une va-riable (à gé-né-rer par exemple avec [][]\T1/ pcr/m/n/10.95 symb2poly(randpoly(n)) Underfull \hbox (badness 10000) in paragraph at lines 3084--3085 Underfull \hbox (badness 10000) in paragraph at lines 3086--3089 Overfull \hbox (47.36993pt too wide) detected at line 3093 \OT1/cmr/m/n/10.95 123\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 456\OML/cmm/m/it /10.95 ; \OT1/cmr/m/n/10.95 789\OML/cmm/m/it/10.95 ; [] ; [] [60] Underfull \hbox (badness 10000) in paragraph at lines 3108--3109 Underfull \hbox (badness 10000) in paragraph at lines 3113--3114 Underfull \hbox (badness 10000) in paragraph at lines 3129--3130 Underfull \hbox (badness 10000) in paragraph at lines 3140--3141 Underfull \hbox (badness 10000) in paragraph at lines 3146--3147 Underfull \hbox (badness 10000) in paragraph at lines 3152--3153 Overfull \hbox (92.34097pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 3.14. EXERCICES SUR TYPES, CALCUL EXACT ET APPROCHÉ, ALGORI THMES DE BASES \T1/ptm/m/n/10.95 61 [61] Underfull \hbox (badness 10000) in paragraph at lines 3162--3165 Underfull \hbox (badness 10000) in paragraph at lines 3173--3174 Underfull \hbox (badness 10000) in paragraph at lines 3179--3180 Underfull \hbox (badness 10000) in paragraph at lines 3195--3196 [62] Underfull \vbox (badness 10000) has occurred while \output is active Overfull \hbox (92.34097pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 3.14. EXERCICES SUR TYPES, CALCUL EXACT ET APPROCHÉ, ALGORI THMES DE BASES \T1/ptm/m/n/10.95 63 [63] [64] Chapitre 4. Overfull \hbox (1.45438pt too wide) in paragraph at lines 3268--3280 \T1/ptm/m/n/10.95 exemple $\OML/cmm/m/it/10.95 a \OT1/cmr/m/n/10.95 = 3$ \T1/pt m/m/n/10.95 et $\OML/cmm/m/it/10.95 c \OT1/cmr/m/n/10.95 = 2$ \T1/ptm/m/n/10.95 donne la suite $\OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 2 \OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 8\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10 .95 9\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 12\OML/cmm/m/it/10.95 ; \OT1/cmr/ m/n/10.95 4\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 14\OML/cmm/m/it/10.95 ; \OT 1/cmr/m/n/10.95 10\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 15\OML/cmm/m/it/10.9 5 ; \OT1/cmr/m/n/10.95 13\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 7\OML/cmm/m/i t/10.95 ; \OT1/cmr/m/n/10.95 6\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 3\OML/cm m/m/it/10.95 ; \OT1/cmr/m/n/10.95 11\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1\ OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 5$\T1/ptm/m/n/10.95 . [65] Underfull \hbox (badness 10000) in paragraph at lines 3320--3325 Underfull \hbox (badness 10000) in paragraph at lines 3334--3336 Overfull \hbox (7.19617pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 66 \T1/ptm/m/sl/10.95 CHAPITRE 4. LES GÉNÉRATEURS DE NOMBRES PSEUDO-ALÉATOIRES. [66] Underfull \hbox (badness 10000) in paragraph at lines 3337--3338 Underfull \hbox (badness 10000) in paragraph at lines 3338--3340 Underfull \hbox (badness 10000) in paragraph at lines 3341--3342 Underfull \hbox (badness 10000) in paragraph at lines 3347--3348 Underfull \hbox (badness 10000) in paragraph at lines 3351--3352 Underfull \hbox (badness 10000) in paragraph at lines 3353--3356 Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3368. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3368. LaTeX Warning: Reference `sec:gf' on page 67 undefined on input line 3379. [67] Overfull \hbox (7.19617pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 68 \T1/ptm/m/sl/10.95 CHAPITRE 4. LES GÉNÉRATEURS DE NOMBRES PSEUDO-ALÉATOIRES. [68] Chapitre 5. [69] Overfull \hbox (7.83836pt too wide) in paragraph at lines 3537--3541 \T1/ptm/m/n/10.95 restes in-ter-mé-diaires gé-né-rés dans l'al-go-rithme d'Eu-c lide lors-qu'on uti-lise la pseudo- [70] Underfull \hbox (badness 10000) in paragraph at lines 3578--3579 Overfull \hbox (387.87994pt too wide) detected at line 3579 []\OML/cmm/m/it/10.95 ; [] [] [71] [72] [73] [74] [75] [76] LaTeX Warning: Reference `lemme:A' on page 77 undefined on input line 3955. LaTeX Warning: Reference `mignotte' on page 77 undefined on input line 3976. LaTeX Warning: Reference `mignotte' on page 77 undefined on input line 3988. [77] LaTeX Warning: Reference `pgcdbound' on page 78 undefined on input line 4052. LaTeX Warning: Reference `pgcdd' on page 78 undefined on input line 4053. [78] [79] Overfull \hbox (0.6112pt too wide) in paragraph at lines 4190--4198 \T1/ptm/m/n/10.95 et $\OML/cmm/m/it/10.95 G\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 .95 X[]; [] :; X[]\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 le pgcd de $\OML/cmm/ m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]; [] :; X[]; \OT1/cmr/m /n/10.95 )$ \T1/ptm/m/n/10.95 et de $\OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\ OML/cmm/m/it/10.95 X[]; [] :; X[]; \OT1/cmr/m/n/10.95 )$\T1/ptm/m/n/10.95 , [80] Overfull \hbox (1.89969pt too wide) in paragraph at lines 4263--4267 \OML/cmm/m/it/10.95 X[]; [] :; X[]$ \T1/ptm/m/n/10.95 à co-ef-fi-cients dans $\ U/msb/m/n/10.95 Z\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 ]$\T1/ptm/m/n/10.95 , on note $\OML/cmm/m/it/10.95 C\OT1/cmr/m/n/10.95 (\OML/cm m/m/it/10.95 X[]\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 le pgcd des conte- [81] Overfull \hbox (32.9573pt too wide) in paragraph at lines 4285--4288 []\T1/ptm/m/n/10.95 Calculer le pgcd $\OML/cmm/m/it/10.95 G\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 X[]; [] :; X[]\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 en $\ OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1$ \T1/ptm/m/n/ 10.95 va-riables de $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10. 95 X[]; [] :; X[]; \OT1/cmr/m/n/10.95 )$ [82] Overfull \hbox (2.70819pt too wide) in paragraph at lines 4388--4396 []\T1/ptm/m/n/10.95 Soit donc $\OML/cmm/m/it/10.95 F$ \T1/ptm/m/n/10.95 et $\OM L/cmm/m/it/10.95 G$ \T1/ptm/m/n/10.95 deux po-ly-nômes pri-mi-tifs dé-pen-dant des va-riables $\OML/cmm/m/it/10.95 X[]; [] ; X[]$ [83] LaTeX Warning: Reference `ezgcd' on page 84 undefined on input line 4457. Overfull \hbox (13.60281pt too wide) detected at line 4461 \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/ 10.95 P[] [] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 )(\ OML/cmm/m/it/10.95 Q[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Q[] [] \OT1/cmr /m/n/10.95 + \OML/cmm/m/it/10.95 Q[]\OT1/cmr/m/n/10.95 ) = (\OML/cmm/m/it/10.95 P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 P[] [] \OT1/cmr/m/n/10.95 + \OML/ cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 Q[] \OT1/cmr/m/n/10. 95 + \OML/cmm/m/it/10.95 Q[] [] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Q[]\OT 1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.9 5 k \OT1/cmr/m/n/10.95 + 1) [84] [85] Overfull \hbox (18.81532pt too wide) in paragraph at lines 4549--4556 []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 ))\OML/cmm/m/it/1 0.95 =[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 )$\T1/ptm /m/n/10.95 . On ajoute $\OML/cmm/m/it/10.95 P[]$ \T1/ptm/m/n/10.95 à $\OML/cmm /m/it/10.95 v$\T1/ptm/m/n/10.95 , ainsi $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 .95 P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 ) = [](\OM L/cmm/m/it/10.95 F\OT1/cmr/m/n/10.95 ) + Overfull \hbox (0.94696pt too wide) detected at line 4561 []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 F\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m /it/10.95 P\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (\OML /cmm/m/it/10.95 k\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10 .95 ) + \OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 k\OT1/cmr/ m/n/10.95 ) = [](\OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10 .95 O\OT1/cmr/m/n/10.95 (1) Overfull \hbox (2.65863pt too wide) detected at line 4597 \OML/cmm/m/it/10.95 P \OT1/cmr/m/n/10.95 = (\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/ 10.95 + 1)\OML/cmm/m/it/10.95 y \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 x[] \O T1/cmr/m/n/10.95 + 1 = \OML/cmm/m/it/10.95 P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/ it/10.95 P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (2)\O ML/cmm/m/it/10.95 ; Q \OT1/cmr/m/n/10.95 = (\OML/cmm/m/it/10.95 x \OT1/cmr/m/n /10.95 + 1)(\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 xy \OT1/cmr/m/n/10.95 + 1) = \OML/cmm/m/it/10.95 Q[] \OT1/cmr/m/n/10.95 + \OML/cm m/m/it/10.95 Q[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 ( 2) [86] Overfull \hbox (80.18947pt too wide) in paragraph at lines 4640--4649 \T1/pcr/m/n/10.95 www.inf.ethz.ch/personal/gonnet/CAII/HeuristicAlgorithms/node 1.html [87] [88] Chapitre 6. LaTeX Warning: Reference `eq:bezout' on page 89 undefined on input line 4684. Overfull \hbox (28.90865pt too wide) in paragraph at lines 4698--4702 \T1/ptm/m/n/10.95 (cette ma-trice contient $\OML/cmm/m/it/10.95 b \OT1/cmr/m/n/ 10.95 =$\T1/ptm/m/n/10.95 degré$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B\OT1/c mr/m/n/10.95 )$ \T1/ptm/m/n/10.95 lignes de co-ef-fi-cients du po-ly-nôme $\OML /cmm/m/it/10.95 A$ \T1/ptm/m/n/10.95 et $\OML/cmm/m/it/10.95 a \OT1/cmr/m/n/10. 95 =$\T1/ptm/m/n/10.95 degré$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/ m/n/10.95 )$ [89] [90] Overfull \hbox (60.56715pt too wide) detected at line 4770 \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]; :::; X[]\OT 1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/10.95 P[]; P[]; X[]\OT1/cmr/m/n/10.95 )\OM L/cmm/m/it/10.95 ; :::; P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]; :::; X[ ]\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/10.95 P[]; P[]; X[]\OT1/cmr/m/n/10.95 ) Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4797. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4797. [91] Overfull \hbox (20.35574pt too wide) in paragraph at lines 4874--4897 []\T1/ptm/m/n/10.95 Plus gé-né-ra-le-ment, soit deux courbes al-gé-briques d'éq ua-tions res-pec-tives $\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 x; y\OT1/cmr/m/n/10.95 ) = [92] Overfull \hbox (25.42633pt too wide) in paragraph at lines 4909--4909 []\T1/ptm/b/n/14.4 Lien avec l'al-go-rithme du sous-résultant (cal-cul de PGCD) Overfull \hbox (25.25095pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 6.4. LIEN AVEC L'ALGORITHME DU SOUS-RÉSULTANT (CALCUL DE PG CD) \T1/ptm/m/n/10.95 93 [93] [94] Underfull \hbox (badness 10000) in paragraph at lines 5016--5017 Underfull \hbox (badness 10000) in paragraph at lines 5018--5019 Underfull \hbox (badness 10000) in paragraph at lines 5019--5021 Underfull \hbox (badness 10000) in paragraph at lines 5022--5023 [95] [96] Chapitre 7. LaTeX Warning: Reference `lemme:majoration' on page 97 undefined on input line 5027. LaTeX Warning: Reference `eq:sturm' on page 97 undefined on input line 5067. LaTeX Warning: Reference `eq:sturm' on page 97 undefined on input line 5069. [97] Underfull \hbox (badness 10000) in paragraph at lines 5079--5080 Underfull \hbox (badness 10000) in paragraph at lines 5084--5098 Underfull \hbox (badness 10000) in paragraph at lines 5098--5100 Underfull \hbox (badness 10000) in paragraph at lines 5100--5106 [98] Overfull \hbox (47.91455pt too wide) in paragraph at lines 5192--5192 [] \T1/pcr/m/n/10.95 si P(x=1/2)=0 alors res:=(a+b)/2; sinon res:=NULL; fsi;[ ] Underfull \vbox (badness 10000) has occurred while \output is active [99] Underfull \hbox (badness 10000) in paragraph at lines 5195--5196 Overfull \hbox (3.63283pt too wide) detected at line 5224 [] [] [] \OML/cmm/m/it/10.95 ; x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.9 5 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ [] \OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n /10.95 1 Overfull \hbox (124.04935pt too wide) detected at line 5230 [] [] [] \OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@[]\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm /m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1 Underfull \hbox (badness 10000) in paragraph at lines 5233--5234 Underfull \hbox (badness 10000) in paragraph at lines 5238--5239 Overfull \hbox (127.06247pt too wide) in paragraph at lines 5244--5260 \T1/ptm/m/n/10.95 (cf. par exemple l'ar-ticle de Mi-ckael Ei-ser-man sur [][]\T 1/pcr/m/n/10.95 www-fourier.ujf-grenoble.fr/~eiserm[]\T1/ptm/m/n/10.95 ). [100] Overfull \hbox (6.24567pt too wide) in paragraph at lines 5260--5279 \T1/ptm/m/n/10.95 numérique-exact. Les ra-cines d'un po-ly-nôme $\OML/cmm/m/it/ 10.95 Q$ \T1/ptm/m/n/10.95 sont aussi les va-leurs propres Underfull \hbox (badness 10000) in paragraph at lines 5287--5294 Overfull \hbox (1.9246pt too wide) in paragraph at lines 5295--5296 [][][]\T1/pcr/m/n/10.95 Q:=randpoly(5); M:=companion(Q); P,S:=schur(M):; S Underfull \hbox (badness 10000) in paragraph at lines 5295--5296 Overfull \hbox (590.01193pt too wide) detected at line 5296 \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 98\OML/cmm/m/it/10.95 x[] \OMS/cms y/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 65\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 57\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 94\OML/cmm/m/it/10.95 x \OT1/ cmr/m/n/10.95 + 86\OML/cmm/m/it/10.95 ; [] ; []; [] Underfull \hbox (badness 10000) in paragraph at lines 5296--5298 Underfull \hbox (badness 10000) in paragraph at lines 5299--5300 Overfull \hbox (1060.02768pt too wide) detected at line 5300 [] \OML/cmm/m/it/10.95 ; [] [101] Overfull \hbox (1518.8983pt too wide) detected at line 5305 [] \OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@[]\OML/cmm/m/it/10.95 ; \OMS/cm sy/m/n/10.95 ^^@[] \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10. 95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 15329809410195986998 \OMS/cmsy/m/n/ 10.95 ^^B \OT1/cmr/m/n/10.95 10[] Underfull \vbox (badness 10000) has occurred while \output is active [102] Chapitre 8. [103] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 5419. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 5419. Underfull \vbox (badness 10000) has occurred while \output is active [104] Underfull \hbox (badness 10000) in paragraph at lines 5460--5466 [105] LaTeX Warning: Reference `eq:bezoutmod' on page 106 undefined on input line 550 9. LaTeX Warning: Reference `eq:bezoutmod' on page 106 undefined on input line 551 2. LaTeX Warning: Reference `eq:bezoutmod' on page 106 undefined on input line 551 5. LaTeX Warning: Reference `eq:bezoutmod' on page 106 undefined on input line 551 6. Underfull \vbox (badness 10000) has occurred while \output is active [106] Overfull \hbox (20.23463pt too wide) in paragraph at lines 5563--5575 []\T1/ptm/m/n/10.95 On cherche une re-la-tion al-gé-brique entre les co-or-don- nées de 4 points $\OML/cmm/m/it/10.95 A; B; C; D$ [107] [108] LaTeX Warning: Reference `eq' on page 109 undefined on input line 5662. Underfull \vbox (badness 10000) has occurred while \output is active [109] [110] Chapitre 9. [111] LaTeX Warning: Citation `buchberger1985grobner' on page 112 undefined on input line 5823. LaTeX Warning: Citation `Gebauer1988275' on page 112 undefined on input line 58 24. LaTeX Warning: Citation `F99a' on page 112 undefined on input line 5825. LaTeX Warning: Citation `Fau02a' on page 112 undefined on input line 5825. LaTeX Warning: Citation `Arnold2003403' on page 112 undefined on input line 583 3. [112] LaTeX Warning: Reference `sec:probagb' on page 113 undefined on input line 5838 . LaTeX Warning: Reference `sec:learning' on page 113 undefined on input line 584 4. LaTeX Warning: Citation `joux2011variant' on page 113 undefined on input line 5 850. LaTeX Warning: Reference `sec:giacf4' on page 113 undefined on input line 5853. LaTeX Warning: Citation `giac' on page 113 undefined on input line 5855. [113] LaTeX Warning: Citation `Arnold2003403' on page 114 undefined on input line 591 5. [114] Overfull \hbox (0.45357pt too wide) in paragraph at lines 5984--5988 \T1/ptm/m/n/10.95 All pairs of mi-ni-mal to-tal de-gree are col-lec-ted to be r e-du-ced si-mul-ta-neously, LaTeX Warning: Citation `monagan2011sparse' on page 115 undefined on input line 5994. [115] [116] Overfull \hbox (18.41803pt too wide) in paragraph at lines 6092--6108 [] LaTeX Warning: Citation `magma' on page 117 undefined on input line 6116. [117] Overfull \hbox (7.91956pt too wide) in paragraph at lines 6158--6158 []\T1/pcr/m/n/10.95 threads:=2; // set the number of threads you want to use[] Overfull \hbox (47.33951pt too wide) in paragraph at lines 6158--6158 []\T1/pcr/m/n/10.95 // debug_infolevel(1); // uncomment to show intermediate st eps[] Overfull \hbox (40.76952pt too wide) in paragraph at lines 6158--6158 []\T1/pcr/m/n/10.95 time(H2:=gbasis(alea6,indets(cyclic5),revlex,modular_check) );[] Overfull \hbox (0.6287pt too wide) in paragraph at lines 6164--6175 []\T1/ptm/m/n/10.95 I have des-cri-bed some en-han-ce-ments to a mo-du-lar al-g o-rithm to com-pute Groeb- LaTeX Warning: Citation `botanaimplementing' on page 118 undefined on input lin e 6179. [118] No file algo_.bbl. [119] Underfull \hbox (badness 10000) in paragraph at lines 6305--6306 Overfull \hbox (4.62582pt too wide) detected at line 6306 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 6309--6310 Overfull \hbox (227.09167pt too wide) detected at line 6310 [] Underfull \hbox (badness 10000) in paragraph at lines 6317--6318 Overfull \hbox (165.2369pt too wide) detected at line 6318 \OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 5\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n /10.95 + 8\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 + 9\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 + 4\OML/cmm/m/it/10.95 y \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m /n/10.95 1\OML/cmm/m/it/10.95 ; [] ; \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 + 2\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 + 3\OML/c mm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 + 2\OML/cmm/m/it/10.95 y[] \OMS/cmsy/m/n/1 0.95 ^^@ \OML/cmm/m/it/10.95 y \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 12 Overfull \hbox (612.07114pt too wide) detected at line 6324 [] [120] Underfull \hbox (badness 10000) in paragraph at lines 6326--6327 Underfull \hbox (badness 10000) in paragraph at lines 6330--6331 Overfull \hbox (579.57532pt too wide) detected at line 6331 [] \OML/cmm/m/it/10.95 ; [] LaTeX Warning: Reference `sec:factorisation_extension' on page 121 undefined on input line 6340. [121] [122] Chapitre 10. Underfull \hbox (badness 10000) in paragraph at lines 6383--6389 Underfull \hbox (badness 10000) in paragraph at lines 6390--6391 Underfull \hbox (badness 10000) in paragraph at lines 6392--6393 Overfull \hbox (9.25003pt too wide) in paragraph at lines 6396--6406 []\T1/ptm/m/n/10.95 le cercle de centre l'ori-gine et de rayon 1 peut se pa-ra- mé-trer par $\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 (\OML/ cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; y\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )) = [123] Underfull \hbox (badness 10000) in paragraph at lines 6407--6408 Underfull \hbox (badness 10000) in paragraph at lines 6410--6412 Underfull \hbox (badness 10000) in paragraph at lines 6413--6414 Underfull \hbox (badness 10000) in paragraph at lines 6430--6431 Overfull \hbox (47.32307pt too wide) in paragraph at lines 6441--6446 []\T1/ptm/m/n/10.95 avec Xcas : on uti-lise la com-mande [][]\T1/pcr/m/n/10.95 plotparam []\T1/ptm/m/n/10.95 dans le menu [][]\T1/pcr/m/n/10.95 Graphe, Courbe s[]\T1/ptm/m/n/10.95 . Overfull \hbox (42.61029pt too wide) detected at line 6465 \OT1/cmr/m/n/10.95 (2 [](\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )\OML/cmm/m/it /10.95 ; \OT1/cmr/m/n/10.95 3 [](\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 ))\OML /cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 ([](2\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10 .95 )\OML/cmm/m/it/10.95 ; []\OT1/cmr/m/n/10.95 (3\OML/cmm/m/it/10.95 t\OT1/cmr /m/n/10.95 ))\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t[] ; t[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 (\OML/cmm/m/ it/10.95 t \OT1/cmr/m/n/10.95 + 1\OML/cmm/m/it/10.95 =t; t[] \OT1/cmr/m/n/10.95 + 2\OML/cmm/m/it/10.95 =t\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OT1/cmr/m /n/10.95 ([]\OML/cmm/m/it/10.95 ; []\OT1/cmr/m/n/10.95 ) [124] Overfull \hbox (21.63458pt too wide) in paragraph at lines 6513--6513 []\T1/pcr/m/n/10.95 purge(x);plot((x+1)/(x-2),x=0..4); line(x=2,color=red[] Overfull \hbox (9.91783pt too wide) in paragraph at lines 6520--6532 \T1/ptm/m/n/10.95 Exemple [][]\T1/pcr/m/n/10.95 plot(x^2/(x+1),x=0..10);line(y= x-1,color=red) Underfull \hbox (badness 10000) in paragraph at lines 6520--6532 [125] [126] Underfull \hbox (badness 10000) in paragraph at lines 6603--6604 Underfull \hbox (badness 10000) in paragraph at lines 6610--6614 Underfull \hbox (badness 10000) in paragraph at lines 6621--6622 [127] Underfull \hbox (badness 10000) in paragraph at lines 6658--6674 Overfull \hbox (29.4408pt too wide) in paragraph at lines 6702--6718 \T1/ptm/m/n/10.95 ne sont pas co-li-néaires, alors $\OMS/cmsy/m/n/10.95 f[]\OML /cmm/m/it/10.95 ; []\OMS/cmsy/m/n/10.95 g$ \T1/ptm/m/n/10.95 forme une base, et dans cette base $[]$ [128] Underfull \hbox (badness 10000) in paragraph at lines 6734--6737 Underfull \hbox (badness 10000) in paragraph at lines 6742--6743 Overfull \hbox (12.22762pt too wide) detected at line 6765 \OML/cmm/m/it/10.95 x[]y[][] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 y[]x[] [] \OT1/cmr/m/n/10.95 = []\OML/cmm/m/it/10.95 s[]\OT1/cmr/m/n/10.95 ([]\OML/cmm /m/it/10.95 s[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 s[][]\OT1/cmr/m/n/10 .95 ) \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 s[]\OT1/cmr/m/n/10.95 ([]\O ML/cmm/m/it/10.95 s[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 s[][]\OT1/cmr/ m/n/10.95 ) = \OML/cmm/m/it/10.95 s[]\OT1/cmr/m/n/10.95 ([][] \OMS/cmsy/m/n/10. 95 ^^@ [][]\OT1/cmr/m/n/10.95 ) Overfull \hbox (2.8189pt too wide) in paragraph at lines 6769--6775 []\T1/ptm/m/n/10.95 La convexité dé-crit qua-li-ta-ti-ve-ment la géo-mé-trie de la courbe (orien-tée) à l'ordre [129] Underfull \hbox (badness 10000) in paragraph at lines 6815--6816 Underfull \hbox (badness 10000) in paragraph at lines 6817--6818 Underfull \hbox (badness 10000) in paragraph at lines 6820--6821 Underfull \hbox (badness 10000) in paragraph at lines 6823--6824 [130] Overfull \hbox (5.7001pt too wide) in paragraph at lines 6847--6850 \T1/ptm/m/n/10.95 totes ho-ri-zon-tales, ver-ti-cales, di-rec-tions asymp-to-ti ques, asymp-totes obliques. Underfull \hbox (badness 10000) in paragraph at lines 6879--6880 Underfull \hbox (badness 10000) in paragraph at lines 6882--6883 Underfull \hbox (badness 10000) in paragraph at lines 6895--6896 [131] Underfull \hbox (badness 10000) in paragraph at lines 6913--6924 Underfull \hbox (badness 10000) in paragraph at lines 6925--6926 Overfull \hbox (15.06459pt too wide) in paragraph at lines 6960--6960 []\T1/pcr/m/n/10.95 plotpolar(sin(x)^2*cos(x),x=-pi/4..pi/4,tstep=pi/100[] Overfull \hbox (100.47449pt too wide) in paragraph at lines 6960--6960 []\T1/pcr/m/n/10.95 );plotpolar(sin(x)^2*cos(x),x=pi/4..3*pi/4,tstep=pi/100,co lor=red[] [132] LaTeX Warning: Reference `sec:courbure' on page 133 undefined on input line 698 4. Underfull \hbox (badness 10000) in paragraph at lines 6991--6993 Underfull \hbox (badness 10000) in paragraph at lines 6994--6995 Underfull \hbox (badness 10000) in paragraph at lines 6997--6998 [133] [134] LaTeX Warning: Reference `eq:MF1' on page 135 undefined on input line 7074. Overfull \hbox (34.77457pt too wide) in paragraph at lines 7093--7102 [][]\T1/pcr/m/n/10.95 www-fourier.ujf-grenoble.fr/~parisse/climat/orbite.html Underfull \hbox (badness 10000) in paragraph at lines 7108--7111 [135] Underfull \hbox (badness 10000) in paragraph at lines 7157--7158 Overfull \hbox (14.48955pt too wide) in paragraph at lines 7165--7165 []\T1/pcr/m/n/10.95 a:=0.6;gl_x=-5..5;gl_y=0..6;P:=plotfunc(x^2/2+1/2,x=-5..5[] [136] Underfull \hbox (badness 10000) in paragraph at lines 7203--7214 [137] Underfull \hbox (badness 10000) in paragraph at lines 7215--7216 Underfull \hbox (badness 10000) in paragraph at lines 7216--7218 Overfull \hbox (119.60942pt too wide) in paragraph at lines 7222--7222 []\T1/pcr/m/n/10.95 T:=1;purge(x,y);eq:=x^2+y^2+x*y-4:; gl_x=-3..3;gl_y=-3..3;G :=implicitplot[] Underfull \hbox (badness 10000) in paragraph at lines 7269--7279 [138] Overfull \hbox (907.98091pt too wide) detected at line 7284 [] \OML/cmm/m/it/10.95 ; [] [] ; X [] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/1 0.95 Y [] ; X [] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 Y [] ; \OMS/cmsy/ m/n/10.95 ^^@ [] [] [] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 b [] [] [139] [140] Chapitre 11. Underfull \hbox (badness 10000) in paragraph at lines 7314--7325 [141] Underfull \hbox (badness 10000) in paragraph at lines 7326--7327 Overfull \hbox (98.11452pt too wide) detected at line 7327 []\OML/cmm/m/it/10.95 ; [] \OMS/cmsy/m/n/10.95 ^^@ [] Underfull \hbox (badness 10000) in paragraph at lines 7335--7336 Underfull \hbox (badness 10000) in paragraph at lines 7339--7340 Underfull \hbox (badness 10000) in paragraph at lines 7340--7346 [142] Overfull \hbox (1.34956pt too wide) in paragraph at lines 7443--7443 []\T1/pcr/m/n/10.95 (evalf(t0),t0^2,affichage=point_croix+epaisseur_point_3[] Overfull \hbox (91.58711pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 11.2. COURBURE, REPÈRE DE FRENET, ACCÉLÉRATION NORMALE ET T ANGENTIELLE. \T1/ptm/m/n/10.95 143 [143] Overfull \hbox (0.7493pt too wide) in paragraph at lines 7449--7456 []\T1/ptm/m/n/10.95 La cour-bure[] est aussi la dé-ri-vée par rap-port à l'abs- cisse cur-vi-ligne de l'angle Underfull \hbox (badness 10000) in paragraph at lines 7479--7494 Overfull \hbox (1.70343pt too wide) in paragraph at lines 7503--7531 \T1/ptm/m/n/10.95 té-rieure on peut tra-cer la dé-ve-lop-pée avec la com-mande [][]\T1/pcr/m/n/10.95 developpee(G)[]\T1/ptm/m/n/10.95 . Underfull \hbox (badness 10000) in paragraph at lines 7503--7531 [144] Underfull \hbox (badness 10000) in paragraph at lines 7536--7537 Overfull \hbox (401.91656pt too wide) detected at line 7537 []\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 14 [][] [] \OMS/cmsy/m/n/10.95 ^^@ \ OT1/cmr/m/n/10.95 21 [][] [] + [] [][] [] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/ it/10.95 ; \OMS/cmsy/m/n/10.95 ^^@[] Overfull \hbox (28.20457pt too wide) in paragraph at lines 7560--7579 [][]\T1/pcr/m/n/10.95 http://www.mathcurve.com/courbes2d/caustic/caustic.htm Overfull \hbox (91.58711pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 11.2. COURBURE, REPÈRE DE FRENET, ACCÉLÉRATION NORMALE ET T ANGENTIELLE. \T1/ptm/m/n/10.95 145 [145] Underfull \hbox (badness 10000) in paragraph at lines 7620--7622 Overfull \hbox (1.9246pt too wide) in paragraph at lines 7625--7625 []\T1/pcr/m/n/10.95 plotparam(int(exp(i*t^2),t,0,s),s=-3..3,tstep=0.03[] [146] Chapitre 12. Overfull \hbox (1.26329pt too wide) in paragraph at lines 7632--7642 []\T1/ptm/m/n/10.95 Certaines re-pré-sen-ta-tions gra-phiques né-ces-sitent peu d'ou-tillage ma-thé-ma-tique, [147] LaTeX Warning: Reference `sec:factorisation_absolue' on page 148 undefined on i nput line 7725. [148] Chapitre 13. Overfull \hbox (22.23642pt too wide) in alignment at lines 7772--7775 [][][] [] Overfull \hbox (31.76636pt too wide) in alignment at lines 7777--7782 [][][] [] [149] Overfull \hbox (49.68614pt too wide) in paragraph at lines 7796--7806 \T1/ptm/m/n/10.95 La dif-fé-ren-tielle $\OML/cmm/m/it/10.95 dV$ \T1/ptm/m/n/10. 95 a les mêmes com-po-santes que le \T1/ptm/b/n/10.95 gra-dient[] \T1/ptm/m/n/1 0.95 de $\OML/cmm/m/it/10.95 V$ \T1/ptm/m/n/10.95 ([][]\T1/pcr/m/n/10.95 gradie nt(V,[x,y]) Overfull \hbox (30.54143pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 150 \T1/ptm/m/sl/10.95 CHAPITRE 13. FORMES DIFFÉRENTIELLES E T INTÉGRALES CURVILIGNES [150] [151] Overfull \hbox (30.54143pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 152 \T1/ptm/m/sl/10.95 CHAPITRE 13. FORMES DIFFÉRENTIELLES E T INTÉGRALES CURVILIGNES [152] [153] Overfull \hbox (30.54143pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 154 \T1/ptm/m/sl/10.95 CHAPITRE 13. FORMES DIFFÉRENTIELLES E T INTÉGRALES CURVILIGNES [154] Overfull \hbox (59.26553pt too wide) in paragraph at lines 8081--8090 \T1/ptm/b/n/10.95 Exemple \T1/ptm/m/n/10.95 : Cal-cu-ler la po-si-tion du centr e d'iner-tie d'un quart de cercle $\OML/cmm/m/it/10.95 C \OT1/cmr/m/n/10.95 = \ OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/10.95 ([](\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10 .95 )\OML/cmm/m/it/10.95 ; []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/ m/n/10.95 ))\OML/cmm/m/it/10.95 ; t \OMS/cmsy/m/n/10.95 2 Overfull \hbox (20.20418pt too wide) in paragraph at lines 8091--8095 \T1/ptm/m/n/10.95 sua-li-ser avec la com-mande [][]\T1/pcr/m/n/10.95 cercle(0,1 ); G:=point(4/(3*pi),4/(3*pi)) [155] Overfull \hbox (30.54143pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 156 \T1/ptm/m/sl/10.95 CHAPITRE 13. FORMES DIFFÉRENTIELLES E T INTÉGRALES CURVILIGNES [156] Chapitre 14. Underfull \hbox (badness 10000) in paragraph at lines 8128--8134 Overfull \hbox (21.05954pt too wide) in paragraph at lines 8139--8139 []\T1/pcr/m/n/10.95 );plotode(-y+cos(t),[t=-5..5,y],[0,y0],tstep=0.1,color=red[ ] LaTeX Warning: Reference `eq:diff' on page 157 undefined on input line 8141. [157] Underfull \hbox (badness 10000) in paragraph at lines 8160--8174 LaTeX Warning: Reference `eq:diff' on page 158 undefined on input line 8192. Underfull \hbox (badness 10000) in paragraph at lines 8201--8204 [158] LaTeX Warning: Reference `eq:diff' on page 159 undefined on input line 8229. LaTeX Warning: Reference `eq:diff' on page 159 undefined on input line 8235. [159] LaTeX Warning: Reference `thm:eqdiff' on page 160 undefined on input line 8286. Overfull \hbox (7.91956pt too wide) in paragraph at lines 8302--8302 []\T1/pcr/m/n/10.95 );plotode(y*(1-y),[t=-5..5,y],[0,y0],tstep=0.1,color=red[] [160] Underfull \hbox (badness 10000) in paragraph at lines 8351--8353 Underfull \hbox (badness 10000) in paragraph at lines 8354--8355 Overfull \hbox (7.04562pt too wide) in paragraph at lines 8390--8401 []\T1/ptm/m/n/10.95 Le cal-cul d'une so-lu-tion par-ti-cu-lière d'une équa-tion li-néaire avec se-cond membre [161] [162] Underfull \hbox (badness 10000) in paragraph at lines 8508--8509 [163] [164] Underfull \hbox (badness 10000) in paragraph at lines 8579--8583 Underfull \hbox (badness 10000) in paragraph at lines 8584--8585 Underfull \hbox (badness 10000) in paragraph at lines 8585--8589 Underfull \hbox (badness 10000) in paragraph at lines 8590--8591 [165] Underfull \hbox (badness 10000) in paragraph at lines 8654--8656 Underfull \hbox (badness 10000) in paragraph at lines 8657--8658 [166] Underfull \hbox (badness 10000) in paragraph at lines 8709--8710 Underfull \hbox (badness 10000) in paragraph at lines 8712--8713 Underfull \hbox (badness 10000) in paragraph at lines 8715--8716 Underfull \hbox (badness 10000) in paragraph at lines 8718--8719 Overfull \hbox (67.04948pt too wide) in paragraph at lines 8723--8723 []\T1/pcr/m/n/10.95 seq(seq(plotparam(exp(A*t)*[a/5,b/5],t=-1..1,affichage=arro w_line[] [167] Overfull \hbox (0.77174pt too wide) in paragraph at lines 8725--8732 []\T1/ptm/b/n/10.95 Remarque :\T1/ptm/m/n/10.95 pour un sys-tème dif-fé-ren-tie l à co-ef-fi-cients non constants, il n'existe Underfull \hbox (badness 10000) in paragraph at lines 8762--8763 Underfull \hbox (badness 10000) in paragraph at lines 8765--8766 Underfull \hbox (badness 10000) in paragraph at lines 8768--8769 [168] [169] [170] [171] [172] [173] LaTeX Warning: Reference `sec:existence' on page 174 undefined on input line 91 10. Overfull \hbox (31.5361pt too wide) detected at line 9124 \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.9 5 ) = (\OML/cmm/m/it/10.95 y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 r\OT1/ cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 r\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 o\OT1/cmr/m/n/10.95 (1)) \OMS/cmsy/ m/n/10.95 ) [] \OT1/cmr/m/n/10.95 = [][] = [](1 + \OML/cmm/m/it/10.95 o\OT1/cmr /m/n/10.95 (1)) [174] Overfull \hbox (4.21344pt too wide) in paragraph at lines 9179--9191 [][]\T1/pcr/m/n/10.95 A:=[[1,2,3],[4,5,6],[7,8,9]][]\T1/ptm/m/n/10.95 , puis [] []\T1/pcr/m/n/10.95 plot(Y[0],x=0..4) []\T1/ptm/m/n/10.95 la Overfull \hbox (48.60435pt too wide) in paragraph at lines 9191--9197 [][][]\T1/pcr/m/n/10.95 [Y]:=desolve(y'=A*y and y(0)=[1,0]) []\T1/ptm/m/n/10.95 pour [][]\T1/pcr/m/n/10.95 A:=[[-3,1],[1,-5]][]\T1/ptm/m/n/10.95 , Overfull \hbox (1.8244pt too wide) in paragraph at lines 9201--9204 []\T1/ptm/m/n/10.95 Pour [][]\T1/pcr/m/n/10.95 A:=[[0,2],[-2,0]];[]\T1/ptm/m/n/ 10.95 , les va-leurs propres sont ima-gi-naires pures, [175] Overfull \hbox (0.40451pt too wide) in paragraph at lines 9243--9248 \T1/ptm/m/n/10.95 où $\OML/cmm/m/it/10.95 k$ \T1/ptm/m/n/10.95 mo-dé-lise l'ine r-tie ther-mique, $\OML/cmm/m/it/10.95 S$ \T1/ptm/m/n/10.95 est la constante so -laire (en-vi-ron 1364/4$\OML/cmm/m/it/10.95 W=m[]$\T1/ptm/m/n/10.95 ) [176] Overfull \hbox (65.9728pt too wide) detected at line 9301 \OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 0025\OML/cmm/m/it/1 0.95 ; \OT1/cmr/m/n/10.95 5\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 67 \OMS/cmsy /m/n/10.95 ^^B \OT1/cmr/m/n/10.95 10[]\OML/cmm/m/it/10.95 ; [] ; [] [177] [178] Underfull \hbox (badness 10000) in paragraph at lines 9393--9394 Overfull \hbox (8.35474pt too wide) in paragraph at lines 9433--9437 \T1/ptm/m/n/10.95 Par exemple, pour Eu-ler ex-pli-cite, $\OT1/cmr/m/n/10.95 ^^H (\OML/cmm/m/it/10.95 t; y; h\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 f\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 t; y\OT1/cmr/m/n/10.95 )$\T1/ptm/m/n/10.95 , l a constante $\OT1/cmr/m/n/10.95 ^^C$ \T1/ptm/m/n/10.95 est la constante Overfull \hbox (31.3273pt too wide) detected at line 9444 \OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 y[] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m /it/10.95 y\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t[]\OT1/cmr/m/n/10.95 ) + \O ML/cmm/m/it/10.95 h[]\OT1/cmr/m/n/10.95 (^^H(\OML/cmm/m/it/10.95 t[]; y[]; h[]\ OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 ^^H(\OML/cmm/m/i t/10.95 t[]; y\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t[]\OT1/cmr/m/n/10.95 )\O ML/cmm/m/it/10.95 ; h[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j ^^T \OT1/cmr/m /n/10.95 (1 + \OML/cmm/m/it/10.95 h[]\OT1/cmr/m/n/10.95 ^^C)\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 y[] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 y\OT1/cmr /m/n/10.95 (\OML/cmm/m/it/10.95 t[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j ^^ T \OML/cmm/m/it/10.95 e[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 y[] \OMS/cmsy /m/n/10.95 ^^@ \OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t[] \OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j [179] [180] Overfull \hbox (28.43321pt too wide) in alignment at lines 9530--9536 [][][] [] [181] [182] Chapitre 15. [183] Overfull \hbox (9.31326pt too wide) in paragraph at lines 9651--9659 \T1/ptm/m/n/10.95 qui est la pre-mière com-po-sante du vec-teur tan-gent, de mê me pour la deuxième [184] [185] [186] [187] [188] Chapitre 16. [189] Underfull \vbox (badness 10000) has occurred while \output is active [190] Overfull \hbox (2.73213pt too wide) in paragraph at lines 10026--10033 \T1/ptm/m/n/10.95 dé-ter-mi-nez les po-ly-nômes ir-ré-duc-tibles pri-mi-tif de de-gré 4, pour l'un d'entre Underfull \vbox (badness 4752) has occurred while \output is active [191] Underfull \vbox (badness 2012) has occurred while \output is active [192] [193] Overfull \hbox (7.91956pt too wide) in paragraph at lines 10212--10231 [][]\T1/pcr/m/n/10.95 P(N,eps,L):=sum(comb(L,k)*eps^k*(1-eps)^(L-k),k,N+1,L):; [194] [195] Overfull \hbox (34.56367pt too wide) in paragraph at lines 10347--10357 [] [196] [197] LaTeX Warning: Reference `sec:gf' on page 198 undefined on input line 10408. [198] LaTeX Warning: Reference `eq:lsw' on page 199 undefined on input line 10455. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 10469. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 10469. LaTeX Warning: Reference `eq:loc' on page 199 undefined on input line 10482. [199] Overfull \hbox (51.07378pt too wide) detected at line 10502 \OML/cmm/m/it/10.95 w\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.9 5 ) \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 inv\OT1/cmr/m/n/10.95 (\OML/cmm /m/it/10.95 l\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 r\OT1/cmr/m/n/10.95 (\O ML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/1 0.95 inv\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 )([]\OML/cm m/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ) \OML/cmm/m/it/10.9 5 w\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/ 10.95 ^^C \OML/cmm/m/it/10.95 v\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cm r/m/n/10.95 ) = \OML/cmm/m/it/10.95 r\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\ OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^C \OML/cmm/m/it/10.95 l\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )([]\OML/cmm/m/it/10.95 x[]\OT1/c mr/m/n/10.95 ) Underfull \vbox (badness 10000) has occurred while \output is active [200] Chapitre 17. [201] Underfull \hbox (badness 10000) in paragraph at lines 10604--10605 Overfull \hbox (14.73294pt too wide) detected at line 10605 [] [202] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 10654. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\rho' on input line 10654. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 10654. [203] [204] [205] [206] Chapitre 18. LaTeX Warning: Reference `sec:proot' on page 207 undefined on input line 10764. [207] Underfull \hbox (badness 10000) in paragraph at lines 10824--10829 [208] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 10897. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 10897. [209] [210] [211] LaTeX Warning: Reference `eq:cantor' on page 212 undefined on input line 11057. LaTeX Warning: Reference `eq:bezout2' on page 212 undefined on input line 11079 . [212] Underfull \hbox (badness 10000) in paragraph at lines 11092--11096 [213] [214] [215] [216] Overfull \hbox (29.97874pt too wide) in alignment at lines 11311--11314 [][][] [] Overfull \hbox (7.02904pt too wide) detected at line 11342 \OML/cmm/m/it/10.95 a[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 a[] \OT1/cmr/m /n/10.95 + 25(\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 1) = \OML/cmm/m/it/10.9 5 x \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 37\OML/cmm/m/it/10.95 ; b[] \OT 1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 b[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10 .95 b; c[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 c[] \OT1/cmr/m/n/10.95 + 2 5(\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + 1) = \OML/cmm/m/it/10.95 x[] \OT 1/cmr/m/n/10.95 + 37\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/ n/10.95 6\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + 27 [217] [218] LaTeX Warning: Reference `eq:heu2' on page 219 undefined on input line 11478. [219] [220] [221] LaTeX Warning: Reference `eq:Qn' on page 222 undefined on input line 11605. Overfull \hbox (67.04948pt too wide) in paragraph at lines 11658--11658 [] \T1/pcr/m/n/10.95 k:=floor(24*log10(1+4*k))+4; // 4 chiffres de precision e n plus[] [222] LaTeX Warning: Reference `sec:rur' on page 223 undefined on input line 11674. Overfull \hbox (1.34956pt too wide) in paragraph at lines 11673--11688 [][]\T1/pcr/m/n/10.95 P:=x^4+3x+1;eq:=lcoeff(P)*pcoef([a,b,c,d])-symb2poly(P) Underfull \hbox (badness 10000) in paragraph at lines 11673--11688 [223] [224] Overfull \hbox (27.62953pt too wide) in paragraph at lines 11783--11783 []\T1/pcr/m/n/10.95 sym(P,X):={ // P polynome symetrique, X liste des variables [] Overfull \hbox (93.32945pt too wide) in paragraph at lines 11783--11783 [] \T1/pcr/m/n/10.95 si !contains(lname(P),xs) alors return P; fsi; // polynom e constant[] Overfull \hbox (34.19952pt too wide) in paragraph at lines 11783--11783 [] \T1/pcr/m/n/10.95 Q:=normal(subst(P,xs=0)); // Q est symetrique en X[0..s-2 ][] Overfull \hbox (14.48955pt too wide) in paragraph at lines 11783--11783 [] \T1/pcr/m/n/10.95 S:=pcoeff(X[0..s-1]); // polynomes symetriques en les X[] Overfull \hbox (47.33951pt too wide) in paragraph at lines 11783--11783 [] \T1/pcr/m/n/10.95 pour k de 0 jusque size(S)-1 faire S[k]:=(-1)^k*S[k]; fpo ur;[] Overfull \hbox (93.32945pt too wide) in paragraph at lines 11783--11783 [] \T1/pcr/m/n/10.95 q,r:=quorem((P-subst(V,X[0..s-2],S[1..s-1])),S[s],xs); // reste nul[] Underfull \hbox (badness 10000) in paragraph at lines 11786--11787 Underfull \hbox (badness 10000) in paragraph at lines 11791--11792 Underfull \vbox (badness 10000) has occurred while \output is active [225] Overfull \hbox (0.55486pt too wide) in paragraph at lines 11844--11850 []\T1/ptm/m/n/10.95 Localiser les par-ties réelles et ima-gi-naires des ra-cine s com-plexes de $\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 z \OT1/cmr/m/n/10.95 ) = [226] [227] [228] Chapitre 19. LaTeX Warning: Reference `sec:elem' on page 229 undefined on input line 11939. LaTeX Warning: Reference `sec:risch' on page 229 undefined on input line 11946. LaTeX Warning: Reference `sec:rischref' on page 229 undefined on input line 119 56. [229] Overfull \hbox (10.20374pt too wide) detected at line 11966 \OML/cmm/m/it/10.95 x; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n /10.95 )\OML/cmm/m/it/10.95 ; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x; f[] \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ))\OML/cmm/m/it/10. 95 ; :::; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x; f[]\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; f[]\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 x; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/ cmr/m/n/10.95 ))\OML/cmm/m/it/10.95 ; :::; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 x; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/ cmm/m/it/10.95 ; :::; f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/ 10.95 ))) Overfull \hbox (24.13516pt too wide) in paragraph at lines 11999--12001 []$\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 e[]$\T1/ptm /m/n/10.95 , où $\OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 est un pa-ra-mètre, c onvient avec comme tour $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 x; []\OT1/cmr /m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; e[]$ Overfull \hbox (4.93898pt too wide) in paragraph at lines 12001--12004 []$\OML/cmm/m/it/10.95 e[]$ \T1/ptm/m/n/10.95 ne convient pas car il n'est pas al-gé-bri-que-ment in-dé-pen-dant de $\OML/cmm/m/it/10.95 x; []\OT1/cmr/m/n/10. 95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )$ [230] [231] LaTeX Warning: Reference `eq:estpolynome' on page 232 undefined on input line 1 2122. LaTeX Warning: Reference `eq:g' on page 232 undefined on input line 12132. [232] [233] [234] [235] [236] Underfull \hbox (badness 10000) in paragraph at lines 12388--12389 [237] [238] [239] Overfull \hbox (10.23616pt too wide) in paragraph at lines 12519--12523 \T1/ptm/m/n/10.95 les ra-cines en $\OML/cmm/m/it/10.95 t$ \T1/ptm/m/n/10.95 son t constantes et égales à 1 et -1, donc $\OML/cmm/m/it/10.95 c[] \OT1/cmr/m/n/10 .95 = 1$ \T1/ptm/m/n/10.95 et $\OML/cmm/m/it/10.95 v[] \OT1/cmr/m/n/10.95 =$\T1 /ptm/m/n/10.95 gcd$\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 N \OMS/cmsy/m/n/10.9 5 ^^@ [240] [241] LaTeX Warning: Reference `eq:rischdiffeq2' on page 242 undefined on input line 12643. LaTeX Warning: Reference `eq:defD' on page 242 undefined on input line 12652. LaTeX Warning: Reference `eq:defD' on page 242 undefined on input line 12659. [242] [243] [244] LaTeX Warning: Reference `eq:rischdebezout' on page 245 undefined on input line 12785. LaTeX Warning: Reference `eq:rischdepol' on page 245 undefined on input line 12 785. [245] Overfull \hbox (153.03442pt too wide) in paragraph at lines 12851--12854 [][]\T1/pcr/m/n/10.95 http://www-sop.inria.fr/cafe/Manuel.Bronstein/publication s/mb_papers.html Overfull \hbox (68.86084pt too wide) in paragraph at lines 12866--12870 \T1/ptm/m/n/10.95 Unix, désar-chi-ver le fi-chier \T1/pcr/m/n/10.95 lib.tar \T1 /ptm/m/n/10.95 du ré-per-toire \T1/pcr/m/n/10.95 /usr/local/MuPAD/share/lib [246] Chapitre 20. [247] Underfull \hbox (badness 10000) in paragraph at lines 12928--12930 Underfull \hbox (badness 10000) in paragraph at lines 12934--12936 Underfull \hbox (badness 10000) in paragraph at lines 12937--12938 Underfull \hbox (badness 10000) in paragraph at lines 12938--12940 Underfull \hbox (badness 10000) in paragraph at lines 12941--12942 Underfull \hbox (badness 10000) in paragraph at lines 12942--12944 Underfull \hbox (badness 10000) in paragraph at lines 12945--12946 Underfull \hbox (badness 10000) in paragraph at lines 12946--12948 [248] Overfull \hbox (17.93182pt too wide) detected at line 12960 \OMS/cmsy/m/n/10.95 j [][] \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/ it/10.95 t\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 dt \OMS/cmsy/m/n/10.95 ^^@ [] [] \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 \OT1/cmr/m/n/1 0.95 )\OML/cmm/m/it/10.95 dt\OMS/cmsy/m/n/10.95 j \OT1/cmr/m/n/10.95 = \OMS/cms y/m/n/10.95 j [][] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10. 95 ^^R[]\OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ \OML /cmm/m/it/10.95 \OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 dt\OMS/cmsy/m/n/10.95 j ^^T \OML/cmm/m/it/10.95 M[] [][]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t \OM S/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 \OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10. 95 dt \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 M[][] LaTeX Warning: Reference `eq:lagrange' on page 249 undefined on input line 1298 4. [249] Overfull \hbox (14.59195pt too wide) in alignment at lines 13053--13059 [][][] [] [250] LaTeX Warning: Reference `eq:majoration_err' on page 251 undefined on input lin e 13069. Overfull \hbox (38.43983pt too wide) detected at line 13097 [][] \OML/cmm/m/it/10.95 f \OMS/cmsy/m/n/10.95 ^^@ [][] \OML/cmm/m/it/10.95 T[] \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 ) = [][] [][] []\OM L/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dx dt \OT1/cmr/m/n/10.95 = [][] [][] []\OML/cmm/m/it/10. 95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) \OML/cmm/m/ it/10.95 dx dt [251] Underfull \hbox (badness 10000) in paragraph at lines 13151--13153 [252] Underfull \hbox (badness 10000) in paragraph at lines 13181--13183 Underfull \hbox (badness 10000) in paragraph at lines 13190--13192 Underfull \hbox (badness 10000) in paragraph at lines 13193--13194 LaTeX Warning: Reference `eq:errinterpdd' on page 253 undefined on input line 1 3197. LaTeX Warning: Reference `eq:fdd' on page 253 undefined on input line 13206. Overfull \hbox (11.86635pt too wide) detected at line 13215 \OML/cmm/m/it/10.95 E \OT1/cmr/m/n/10.95 = [][](\OML/cmm/m/it/10.95 x \OMS/cmsy /m/n/10.95 ^^@ \OML/cmm/m/it/10.95 \OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 ^^L\OT1/cmr/m/n/10.95 )(\OML/cmm/m/ it/10.95 x \OMS/cmsy/m/n/10.95 ^^@ []\OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 f \OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 ; []; ^^L; t\OT1/cmr/m/n/10.95 ] + (\O ML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 t\OT1/cmr/m/n/1 0.95 )\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 ; []; ^^L; t; x\OT1/cmr/m/n/10.95 ]) \OML/cmm/m/it/10.95 dx [253] LaTeX Warning: Reference `sec:poids' on page 254 undefined on input line 13265. [254] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13293. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `subscript' on input line 13293. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13293. Overfull \hbox (8.18797pt too wide) in paragraph at lines 13294--13298 \T1/ptm/m/n/10.95 la mé-thode est exacte pour tout po-ly-nôme de de-gré $\OML/c mm/m/it/10.95 n$\T1/ptm/m/n/10.95 . Si on prend $\OML/cmm/m/it/10.95 P[]\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) = [][](\OML/cmm/m/it/10. 95 x \OMS/cmsy/m/n/10.95 ^^@ Underfull \hbox (badness 10000) in paragraph at lines 13302--13303 Underfull \hbox (badness 10000) in paragraph at lines 13310--13311 LaTeX Warning: Reference `eq:rectangle_gauche' on page 255 undefined on input l ine 13319. LaTeX Warning: Reference `eq:rectangle_droit' on page 255 undefined on input li ne 13319. LaTeX Warning: Reference `eq:point_milieu' on page 255 undefined on input line 13320. LaTeX Warning: Reference `eq:trapezes' on page 255 undefined on input line 1332 1. LaTeX Warning: Reference `eq:simpson' on page 255 undefined on input line 13322 . [255] Overfull \hbox (6.28046pt too wide) detected at line 13342 [][] \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n /10.95 ) \OML/cmm/m/it/10.95 dt \OT1/cmr/m/n/10.95 = [(\OML/cmm/m/it/10.95 t \O MS/cmsy/m/n/10.95 ^^@ []\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 f\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 )][] \OMS/cmsy/m/n/10.95 ^^@ [][] \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ []\OT1/cmr/m/ n/10.95 )\OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/c mr/m/n/10.95 ) \OML/cmm/m/it/10.95 dt \OT1/cmr/m/n/10.95 = [] \OMS/cmsy/m/n/10. 95 ^^@ [][]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ [] \OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 .95 t\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dt Overfull \hbox (15.44377pt too wide) in paragraph at lines 13354--13361 \T1/ptm/m/n/10.95 ce qui dé-fi-nit de ma-nière unique les $\OML/cmm/m/it/10.95 B[]$\T1/ptm/m/n/10.95 . La nul-lité de l'in-té-grale montre que $\OML/cmm/m/it/ 10.95 B[]\OT1/cmr/m/n/10.95 (1) = Overfull \hbox (0.78775pt too wide) in paragraph at lines 13354--13361 \OML/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 (0)$ \T1/ptm/m/n/10.95 ce qui sim-pli -fiera l'ex-pres-sion des termes tout in-té-grés. De plus, on montre [256] Overfull \hbox (33.09053pt too wide) in alignment at lines 13380--13386 [][][] [] Overfull \hbox (6.63638pt too wide) in alignment at lines 13388--13394 [][][] [] [257] Overfull \hbox (67.04948pt too wide) in paragraph at lines 13445--13445 []\T1/pcr/m/n/10.95 g:=G[0]+sum(G[j]*exp(i*j*x),j,1,k)+sum(G[N-j]*exp(-i*j*x),j ,1,k);[] Underfull \hbox (badness 10000) in paragraph at lines 13451--13454 Underfull \hbox (badness 10000) in paragraph at lines 13455--13456 Underfull \hbox (badness 10000) in paragraph at lines 13458--13459 [258] Underfull \hbox (badness 10000) in paragraph at lines 13501--13502 Overfull \hbox (474.63406pt too wide) detected at line 13502 [] Underfull \hbox (badness 10000) in paragraph at lines 13502--13504 Underfull \hbox (badness 10000) in paragraph at lines 13505--13506 Underfull \hbox (badness 10000) in paragraph at lines 13506--13508 Underfull \hbox (badness 10000) in paragraph at lines 13509--13510 Overfull \hbox (1396.44153pt too wide) detected at line 13510 [] [] \OT1/cmr/m/n/10.95 + 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 66705672867 \OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10. 95 527887022599 LaTeX Warning: Reference `sec:poids' on page 259 undefined on input line 13514. Overfull \hbox (975.61731pt too wide) detected at line 13527 \OT1/cmr/m/n/10.95 10\OML/cmm/m/it/10.95 ; []x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML /cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/ n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.9 5 x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 ; []x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \ OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cm m/m/it/10.95 x; [] Underfull \hbox (badness 10000) in paragraph at lines 13527--13529 Overfull \hbox (469.56989pt too wide) detected at line 13533 []\OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 13533--13535 Underfull \hbox (badness 10000) in paragraph at lines 13536--13537 Overfull \hbox (3062.37799pt too wide) detected at line 13537 [] Underfull \hbox (badness 10000) in paragraph at lines 13537--13539 [259] Underfull \hbox (badness 10000) in paragraph at lines 13540--13541 Overfull \hbox (432.0506pt too wide) detected at line 13541 [] Underfull \hbox (badness 10000) in paragraph at lines 13541--13543 Underfull \hbox (badness 10000) in paragraph at lines 13544--13545 Overfull \hbox (2957.08548pt too wide) detected at line 13545 [] Overfull \hbox (17.49336pt too wide) detected at line 13554 \OML/cmm/m/it/10.95 w[]P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m /n/10.95 ) = [][] [] = [] [][] \OML/cmm/m/it/10.95 P[][] \OT1/cmr/m/n/10.95 = [ ] [][] \OML/cmm/m/it/10.95 P[][] Overfull \hbox (1.11955pt too wide) in paragraph at lines 13576--13578 []\T1/ptm/m/n/10.95 Rappelons que le po-ly-nôme d'in-ter-po-la-tion de $\OML/cm m/m/it/10.95 f$ \T1/ptm/m/n/10.95 aux points $\OML/cmm/m/it/10.95 x[]; x[]; ::: ; x[]$ \T1/ptm/m/n/10.95 s'écrit Overfull \hbox (3.74666pt too wide) detected at line 13580 \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10 .95 ) = \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 x[]\OT1/cm r/m/n/10.95 ] + \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 x[ ]; x[]\OT1/cmr/m/n/10.95 ](\OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ \OML/c mm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 ::: \OT1/cmr/m/n/10 .95 + \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 [\OML/cmm/m/it/10.95 x[]; :::; x[ ]; x\OT1/cmr/m/n/10.95 ](\OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm /m/it/10.95 x[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 :::\OT1/cmr/m/n/10.95 (\ OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/ n/10.95 )(\OML/cmm/m/it/10.95 t \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 ) [260] Overfull \hbox (285.39098pt too wide) in alignment at lines 13585--13590 [][][] [] LaTeX Warning: Reference `eq:lagrange' on page 261 undefined on input line 1359 7. [261] Underfull \hbox (badness 10000) in paragraph at lines 13645--13649 Underfull \hbox (badness 10000) in paragraph at lines 13653--13655 Underfull \hbox (badness 10000) in paragraph at lines 13656--13657 Underfull \hbox (badness 10000) in paragraph at lines 13657--13661 Underfull \hbox (badness 10000) in paragraph at lines 13665--13667 Underfull \hbox (badness 10000) in paragraph at lines 13668--13669 [262] Underfull \hbox (badness 10000) in paragraph at lines 13678--13680 Underfull \hbox (badness 10000) in paragraph at lines 13684--13690 Underfull \hbox (badness 10000) in paragraph at lines 13695--13697 Underfull \hbox (badness 10000) in paragraph at lines 13701--13703 [263] [264] Chapitre 21. LaTeX Warning: Reference `eq:recaffine' on page 265 undefined on input line 137 47. [265] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13789. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `subscript' on input line 13789. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13789. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13789. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13789. LaTeX Warning: Reference `eq:recpart' on page 266 undefined on input line 13793 . Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13799. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13799. LaTeX Warning: Reference `eq:u_n_fixe' on page 266 undefined on input line 1381 3. [266] LaTeX Warning: Reference `eq:u_n_fixe' on page 267 undefined on input line 1383 5. LaTeX Warning: Reference `eq:u_n_fixe' on page 267 undefined on input line 1384 9. LaTeX Warning: Reference `eq:u_n_l' on page 267 undefined on input line 13859. [267] [268] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13962. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 13962. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 13962. [269] LaTeX Warning: Reference `sec:jacobi' on page 270 undefined on input line 13996 . Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14006. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14006. [270] [271] [272] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14195. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 14195. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14195. [273] Overfull \hbox (2.08821pt too wide) detected at line 14217 \OT1/cmr/m/n/10.95 0 = \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/1 0.95 r\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/ m/it/10.95 u[]\OT1/cmr/m/n/10.95 ) + \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 r \OMS/cmsy/m/ n/10.95 ^^@ \OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 ) + [][](1 \OMS/cmsy/m/n/ 10.95 ^^@ \OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 r \OM S/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/1 0.95 f[][]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 r \OT1/cmr/m/n/10.95 + \OML/c mm/m/it/10.95 ^^R\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u[] \OMS/cmsy/m/n/10.9 5 ^^@ \OML/cmm/m/it/10.95 r\OT1/cmr/m/n/10.95 ))(\OML/cmm/m/it/10.95 r \OMS/cms y/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 u[]\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 d^^R LaTeX Warning: Reference `eq:newton' on page 274 undefined on input line 14221. LaTeX Warning: Reference `sec:autres_algorithmes' on page 274 undefined on inpu t line 14251. [274] Overfull \hbox (47.33951pt too wide) in paragraph at lines 14320--14320 []\T1/pcr/m/n/10.95 dw(P,N,eps):={ // Weierstrass, Durand-Kerner polynomial roo ter[] [275] [276] Overfull \hbox (1.69649pt too wide) in paragraph at lines 14375--14379 []\T1/ptm/m/it/10.95 Les condi-tions de Wolfe per-mettent d'as-su-rer la conver -gence d'une LaTeX Warning: Reference `eq:minor_rho' on page 277 undefined on input line 144 07. [277] [278] Chapitre 22. [279] Overfull \hbox (50.32472pt too wide) detected at line 14528 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 14542--14548 Underfull \hbox (badness 10000) in paragraph at lines 14549--14550 [280] LaTeX Warning: Reference `sec:LU' on page 281 undefined on input line 14551. [281] Overfull \hbox (7.91956pt too wide) in paragraph at lines 14628--14628 []\T1/pcr/m/n/10.95 M:=Pivot(M,0,0,1); M:=Pivot(M,0,0,2); /* 1ere colonne */[] Overfull \hbox (7.91956pt too wide) in paragraph at lines 14628--14628 []\T1/pcr/m/n/10.95 M:=Pivot(M,1,1,2); M:=Pivot(M,1,1,0); /* 2eme colonne */[] [282] Overfull \hbox (0.81696pt too wide) in paragraph at lines 14669--14685 \T1/ptm/m/n/10.95 opé-ra-tions, et il faut $\OML/cmm/m/it/10.95 O\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 n []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n\OT1/cmr /m/n/10.95 ))$ \T1/ptm/m/n/10.95 nombres pre-miers d'une taille don-née (par ex emple [283] Overfull \hbox (4.86261pt too wide) in paragraph at lines 14764--14772 \T1/ptm/m/n/10.95 Pour une ma-trice de taille $\OML/cmm/m/it/10.95 n$\T1/ptm/m/ n/10.95 , il faut $\OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n[]\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 opé-ra-tions pour cal-cu-ler $\OML/ cmm/m/it/10.95 C$\T1/ptm/m/n/10.95 , puis $\OML/cmm/m/it/10.95 kn[] []\OT1/cmr/ m/n/10.95 (\OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 )$ Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14773. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14773. [284] LaTeX Warning: Reference `eq:rec' on page 285 undefined on input line 14817. [285] [286] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14915. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 14915. [287] Overfull \hbox (3.6873pt too wide) in paragraph at lines 14988--15001 []\T1/ptm/m/n/10.95 Exemple : soit à ré-soudre en en-tiers $\OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + 3\OML/cmm/m/it/10.95 y \OT1/cmr/m/n /10.95 + 5\OML/cmm/m/it/10.95 z \OT1/cmr/m/n/10.95 = 0$\T1/ptm/m/n/10.95 . On p ose [][]\T1/pcr/m/n/10.95 M:=[[2,3,5]] Overfull \hbox (27.32787pt too wide) in paragraph at lines 15017--15021 \T1/ptm/m/n/10.95 on a donc $\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 = 3\OML /cmm/m/it/10.95 ; y[] \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/ 10.95 2\OML/cmm/m/it/10.95 ; y[]$ \T1/ptm/m/n/10.95 quel-conque puis on cal-cul e [][]\T1/pcr/m/n/10.95 X:=tran(L)*[3,-2,y3][]\T1/ptm/m/n/10.95 , [288] Overfull \hbox (44.63924pt too wide) in paragraph at lines 15078--15088 \T1/ptm/m/n/10.95 tions $\OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 m[] \OT1/cmr/m /n/10.95 + 3\OML/cmm/m/it/10.95 m[] \OT1/cmr/m/n/10.95 + 5\OML/cmm/m/it/10.95 m [] \OT1/cmr/m/n/10.95 = 0\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 7\OML/cmm/m/i t/10.95 m[] \OT1/cmr/m/n/10.95 + 3\OML/cmm/m/it/10.95 m[] \OMS/cmsy/m/n/10.95 ^ ^@ \OT1/cmr/m/n/10.95 5\OML/cmm/m/it/10.95 m[] \OT1/cmr/m/n/10.95 = 0$\T1/ptm/m /n/10.95 . On pose [][]\T1/pcr/m/n/10.95 A:=[[2,3,5],[7,3,-5]][]\T1/ptm/m/n/10. 95 , [289] Overfull \hbox (7.91956pt too wide) in paragraph at lines 15130--15130 [] \T1/pcr/m/n/10.95 lcoeff(P)*10^prec*re(l),lcoeff(P)*10^prec*im(l)]));[] Overfull \hbox (53.9095pt too wide) in paragraph at lines 15130--15130 [] \T1/pcr/m/n/10.95 M:=[op(M),[op(seq(0,n)),10^prec,0],[op(seq(0,n+1)),10^pre c]];[] [290] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 15215. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 15215. Underfull \vbox (badness 10000) has occurred while \output is active [291] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 15278. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 15278. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 15299. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 15299. [292] Overfull \hbox (40.76952pt too wide) in paragraph at lines 15340--15340 [] \T1/pcr/m/n/10.95 a0=y0, a1=y1-l_{1,0}*a0, ..., ak=yk-sum_{j=0..k-1}(l_kj*a j)[] Overfull \hbox (113.03943pt too wide) in paragraph at lines 15340--15340 [] \T1/pcr/m/n/10.95 a0=..=a_{i-1}=0, a_i=1 and we start at equation k=i+1 and sum_{j=i...}[] Overfull \hbox (113.03943pt too wide) in paragraph at lines 15340--15340 []\T1/pcr/m/n/10.95 we first compute all the a2 (there is only 1), then all the a3 (2), etc.[] Overfull \hbox (27.62953pt too wide) in paragraph at lines 15340--15340 []\T1/pcr/m/n/10.95 a0=y0, a1=y1-l_{1,0}*a0, ..., ak=yk-sum_{j=0..k-1}(l_kj*aj) [] Overfull \hbox (21.05954pt too wide) in paragraph at lines 15355--15355 []\T1/pcr/m/n/10.95 second step, solve u*inverse=l^-1 (now under the diagonal)[ ] Overfull \hbox (60.47949pt too wide) in paragraph at lines 15355--15355 []\T1/pcr/m/n/10.95 To store the solution in place, we first compute all the x_ {n-1}[] Overfull \hbox (21.05954pt too wide) in paragraph at lines 15355--15355 []\T1/pcr/m/n/10.95 put them in the last line of m, then all the x_{n-2}, etc.[ ] [293] [294] [295] Overfull \hbox (3.06557pt too wide) in paragraph at lines 15485--15496 \T1/ptm/m/n/10.95 Avec Xcas, les \T1/ptm/b/n/10.95 va-leurs sin-gu-lières[] []\ T1/ptm/m/n/10.95 s'ob-tiennent par l'ins-truc-tion [][]\T1/pcr/m/n/10.95 SVL(A) []\T1/ptm/m/n/10.95 , le condi- [296] Underfull \hbox (badness 10000) in paragraph at lines 15558--15559 Underfull \hbox (badness 10000) in paragraph at lines 15595--15596 [297] [298] Overfull \hbox (25.26006pt too wide) in alignment at lines 15674--15680 [][][] [] [299] Underfull \hbox (badness 10000) in paragraph at lines 15733--15734 Overfull \hbox (17.33672pt too wide) detected at line 15740 []\OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] Overfull \hbox (47.10371pt too wide) detected at line 15746 []\OML/cmm/m/it/10.95 ; [] ; [] ; [] ; [] Underfull \hbox (badness 10000) in paragraph at lines 15749--15750 [300] Overfull \hbox (1.22531pt too wide) in paragraph at lines 15800--15807 []\T1/ptm/m/n/10.95 Une autre idée pour cal-cu-ler le po-ly-nôme ca-rac-té-ris- tique, on cal-cule les $\OML/cmm/m/it/10.95 A[]; k \OT1/cmr/m/n/10.95 = LaTeX Warning: Reference `eq:idnewt1' on page 301 undefined on input line 15814 . [301] LaTeX Warning: Reference `eq:Bp1' on page 302 undefined on input line 15877. [302] Overfull \hbox (8.73734pt too wide) in alignment at lines 15886--15892 [][][] [] Overfull \hbox (67.04948pt too wide) in paragraph at lines 15934--15934 []\T1/pcr/m/n/10.95 Faddeev(A):={ // renvoie la liste des matrices B et le poly nome P[] Overfull \hbox (7.91956pt too wide) in paragraph at lines 15934--15934 [] \T1/pcr/m/n/10.95 pcara:=[1]; // coefficient de plus grand degre de P[] Overfull \hbox (60.47949pt too wide) in paragraph at lines 15934--15934 [] \T1/pcr/m/n/10.95 lmat:=append(lmat,Aj); // rajoute Aj a la liste de mat rices[] Overfull \hbox (53.9095pt too wide) in paragraph at lines 15934--15934 [] \T1/pcr/m/n/10.95 pcara:=append(pcara,coef); // rajoute coef au pol. car act.[] [303] Overfull \hbox (21.04788pt too wide) in alignment at lines 15964--15971 [][][] [] Overfull \hbox (12.43965pt too wide) in paragraph at lines 15988--15990 []\T1/ptm/m/it/10.95 L'espace ca-rac-té-ris-tique de $\OML/cmm/m/it/10.95 ^^U[] $ \T1/ptm/m/it/10.95 est égal à l'image de $\OML/cmm/m/it/10.95 B[]\OT1/cmr/m/n /10.95 (\OML/cmm/m/it/10.95 ^^U[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 =\OT1/ cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n[] \OMS/cmsy/m/n/10.95 ^^@ LaTeX Warning: Reference `eq:jordan3' on page 304 undefined on input line 15994 . LaTeX Warning: Reference `eq:jordan4' on page 304 undefined on input line 16000 . [304] LaTeX Warning: Reference `eq:jordan1' on page 305 undefined on input line 16015 . LaTeX Warning: Reference `eq:jordan3' on page 305 undefined on input line 16015 . [305] Underfull \vbox (badness 2359) has occurred while \output is active [306] [307] Underfull \hbox (badness 10000) in paragraph at lines 16221--16223 Underfull \hbox (badness 10000) in paragraph at lines 16224--16225 [308] [309] Overfull \hbox (126.17941pt too wide) in paragraph at lines 16336--16336 []\T1/pcr/m/n/10.95 A:=[[1,-2,4,-2,5,-4],[0,1,5/2,(-7)/2,2,(-5)/2],[1,(-5)/2,2, 1/(-2),5/2,-3],[] Overfull \hbox (139.3194pt too wide) in paragraph at lines 16336--16336 [] \T1/pcr/m/n/10.95 [0,-1,9/2,(-7)/2,3,(-7)/2],[0,0,2,-2,3,-1],[1,(-3)/2,1/ (-2),1,3/2,1/2]];[] Overfull \hbox (99.89944pt too wide) in paragraph at lines 16336--16336 []\T1/pcr/m/n/10.95 B:=normal(P*inv(A-x*idn(6))); // preferer un appel a faddee v bien sur![] [310] LaTeX Warning: Reference `eq:jordanrat1' on page 311 undefined on input line 16 385. LaTeX Warning: Reference `eq:jordanrat' on page 311 undefined on input line 164 01. [311] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 16476. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 16476. [312] Underfull \hbox (badness 10000) in paragraph at lines 16534--16539 Underfull \hbox (badness 10000) in paragraph at lines 16540--16541 [313] Overfull \hbox (408.18578pt too wide) detected at line 16541 [] \OML/cmm/m/it/10.95 ; [] Overfull \hbox (12.91486pt too wide) in paragraph at lines 16569--16584 []\T1/ptm/m/n/10.95 Notons qu'on peut ré-soudre de ma-nière as-sez ana-logue un sys-tème sous-déterminé [314] Underfull \hbox (badness 10000) in paragraph at lines 16622--16624 Underfull \hbox (badness 10000) in paragraph at lines 16628--16630 Overfull \hbox (300.31897pt too wide) detected at line 16634 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 16634--16636 Underfull \hbox (badness 10000) in paragraph at lines 16642--16650 Underfull \hbox (badness 10000) in paragraph at lines 16654--16656 [315] Overfull \hbox (4.53537pt too wide) in paragraph at lines 16661--16667 \T1/ptm/m/n/10.95 laire $[][] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm /m/it/10.95 x[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\OM L/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 ou mi-ni-mi-ser une autre fonc-tion-nelle qua-dra-tique, par exemple [316] Overfull \hbox (0.97427pt too wide) in paragraph at lines 16736--16740 []\T1/ptm/m/it/10.95 Lorsque la ma-trice $\OML/cmm/m/it/10.95 A$ \T1/ptm/m/it/1 0.95 est à dia-go-nale stric-te-ment do-mi-nante, c'est- Overfull \hbox (16.1349pt too wide) detected at line 16747 \OMS/cmsy/m/n/10.95 j\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Nx\OT1/cmr/m/n/10. 95 )[]\OMS/cmsy/m/n/10.95 j ^^T [] j\OML/cmm/m/it/10.95 a[]\OMS/cmsy/m/n/10.95 jj\OML/cmm/m/it/10.95 x[]\OMS/cmsy/m/n/10.95 j ^^T [] j\OML/cmm/m/it/10.95 a[]\ OMS/cmsy/m/n/10.95 jk\OML/cmm/m/it/10.95 x\OMS/cmsy/m/n/10.95 k[] \OML/cmm/m/it /10.95 < \OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 a[]\OMS/cmsy/m/n/10.95 jk\OML /cmm/m/it/10.95 x\OMS/cmsy/m/n/10.95 k[] ) j\OML/cmm/m/it/10.95 M[]\OT1/cmr/m /n/10.95 (\OML/cmm/m/it/10.95 Nx\OT1/cmr/m/n/10.95 )[]\OMS/cmsy/m/n/10.95 j \OM L/cmm/m/it/10.95 < \OMS/cmsy/m/n/10.95 k\OML/cmm/m/it/10.95 x\OMS/cmsy/m/n/10.9 5 k[] Overfull \hbox (5.94603pt too wide) in paragraph at lines 16747--16750 \T1/ptm/m/n/10.95 On re-trouve ce cas pour une pe-tite per-tur-ba-tion d'une ma -trice dia-go-nale, par exemple Underfull \hbox (badness 10000) in paragraph at lines 16747--16750 Underfull \hbox (badness 10000) in paragraph at lines 16754--16756 Underfull \hbox (badness 10000) in paragraph at lines 16757--16758 Underfull \hbox (badness 10000) in paragraph at lines 16758--16760 Underfull \hbox (badness 10000) in paragraph at lines 16761--16762 Underfull \hbox (badness 10000) in paragraph at lines 16762--16764 Underfull \hbox (badness 10000) in paragraph at lines 16765--16766 [317] Overfull \hbox (14.48955pt too wide) in paragraph at lines 16793--16793 [] \T1/pcr/m/n/10.95 si l2norm(x1-x0) \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/1 0.95 < Av\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 v >\OT1/cmr/m/n/10.95 = \OML/ cmm/m/it/10.95 h < Aw\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 v > \OT1/cmr/m/n/ 10.95 +\OML/cmm/m/it/10.95 h < Av\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 w > \ OT1/cmr/m/n/10.95 +\OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 h[]\OT1/cmr/m/n/10.95 ) = 2\OML/cmm/m/it/10.95 h < Av\OMS/cmsy/m/n/10.95 j\OML /cmm/m/it/10.95 w > \OT1/cmr/m/n/10.95 +\OML/cmm/m/it/10.95 O\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 h[]\OT1/cmr/m/n/10.95 ) [319] Overfull \hbox (7.45967pt too wide) detected at line 16912 \OML/cmm/m/it/10.95 < r[] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 p[]\OMS/c msy/m/n/10.95 j\OML/cmm/m/it/10.95 Ap[] >\OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10. 95 ^^@[][] \OML/cmm/m/it/10.95 < r[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 Ap [] >\OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 ^^@[][] \OML/cmm/m/it/10.95 < r[]\ OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 r[] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/ it/10.95 r[] >\OT1/cmr/m/n/10.95 = 0 [320] [321] [322] Overfull \hbox (1.9246pt too wide) in paragraph at lines 17080--17080 [] \T1/pcr/m/n/10.95 if (abs(new/old-oldratio)\OT1/cmr/m/n/10.95 =\OML/cmm/m/it/10.95 < Overfull \hbox (7.31754pt too wide) in paragraph at lines 18039--18041 []\T1/ptm/m/n/10.95 Tchebyshev de pre-mière es-pèce pour $\OML/cmm/m/it/10.95 w \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) = 1\OML/cmm/m/it/ 10.95 =[]$ \T1/ptm/m/n/10.95 sur $\OT1/cmr/m/n/10.95 [\OMS/cmsy/m/n/10.95 ^^@\O T1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1]$\T1/ptm/m/n/10.95 , $\OML/cmm/m/it/10.95 a\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/ 10.95 ) = Overfull \hbox (1.35878pt too wide) detected at line 18053 []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 k \OT1/cmr/m/n/10.95 + 2)(\OML/cmm/m/ it/10.95 k \OT1/cmr/m/n/10.95 + 1)\OML/cmm/m/it/10.95 p[] \OMS/cmsy/m/n/10.95 ^ ^@ \OML/cmm/m/it/10.95 k\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 k \OT1/cmr/m/n/ 10.95 + 1)\OML/cmm/m/it/10.95 p[] \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 ^^@\ OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n \OT1/cmr/m/n/10.9 5 + 1)\OML/cmm/m/it/10.95 p[] \OMS/cmsy/m/n/10.95 ) \OML/cmm/m/it/10.95 p[] \OT 1/cmr/m/n/10.95 = []\OML/cmm/m/it/10.95 p[] Underfull \hbox (badness 10000) in paragraph at lines 18053--18056 Underfull \hbox (badness 10000) in paragraph at lines 18057--18058 Underfull \hbox (badness 10000) in paragraph at lines 18058--18060 [342] Underfull \hbox (badness 10000) in paragraph at lines 18064--18066 Overfull \hbox (471.55843pt too wide) detected at line 18070 [] \OML/cmm/m/it/10.95 ; []x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[ ] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML /cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/ n/10.95 ^^@ []\OML/cmm/m/it/10.95 ; []x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/ it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 ^^@ []\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + []\OML/cmm/m/it/10.95 x[] \ OMS/cmsy/m/n/10.95 ^^@ [] Overfull \hbox (23.41249pt too wide) detected at line 18083 \OML/cmm/m/it/10.95 < P[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[] >\OT1/cmr /m/n/10.95 = 0 \OMS/cmsy/m/n/10.95 ) \OML/cmm/m/it/10.95 c[] < P[]\OMS/cmsy/m/n /10.95 j\OML/cmm/m/it/10.95 P[] >\OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 a[] < xP[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[] >\OT1/cmr/m/n/10.95 = \OML/cm m/m/it/10.95 a[] < P[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 xP[] > Overfull \hbox (14.9801pt too wide) detected at line 18086 \OML/cmm/m/it/10.95 c[] < P[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[] >\OT1 /cmr/m/n/10.95 = [] \OML/cmm/m/it/10.95 < P[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it /10.95 P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 b[]P[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 c[]P[] >\OT1/cmr/m/n/10.95 = [] \OML/cmm/m/it/10.95 < P[]\ OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[] > LaTeX Warning: Reference `eq:legendre_rec' on page 343 undefined on input line 18103. Underfull \hbox (badness 10000) in paragraph at lines 18115--18116 [343] Underfull \hbox (badness 10000) in paragraph at lines 18119--18120 Underfull \hbox (badness 10000) in paragraph at lines 18120--18122 Overfull \hbox (304.6492pt too wide) detected at line 18126 [] [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 18126--18128 Underfull \hbox (badness 10000) in paragraph at lines 18129--18130 Overfull \hbox (270.89915pt too wide) detected at line 18130 [] Underfull \hbox (badness 10000) in paragraph at lines 18130--18132 Underfull \hbox (badness 10000) in paragraph at lines 18133--18134 [344] Overfull \hbox (5.94165pt too wide) in paragraph at lines 18164--18174 []\T1/ptm/m/n/10.95 Par exemple sup-po-sons qu'on se donne $\OML/cmm/m/it/10.95 n$ \T1/ptm/m/n/10.95 in-ter-valles, donc $\OML/cmm/m/it/10.95 n \OT1/cmr/m/n/1 0.95 + 1$ \T1/ptm/m/n/10.95 points $\OML/cmm/m/it/10.95 x[]; :::; x[]$\T1/ptm/m /n/10.95 , [345] [346] Chapitre 24. [347] Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 348 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [348] [349] Overfull \hbox (8.00253pt too wide) in paragraph at lines 18415--18419 \T1/ptm/m/n/10.95 On peut cal-cu-ler de ma-nière ana-logue le dé-ve-lop-pe-ment en sé-rie en-tière de $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n /10.95 )$ Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 350 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [350] Overfull \hbox (9.54156pt too wide) detected at line 18446 \OML/cmm/m/it/10.95 v[] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 v[] \OT1/cm r/m/n/10.95 = \OML/cmm/m/it/10.95 S[] \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10. 95 S[] \OT1/cmr/m/n/10.95 = (\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 1)[]\OML /cmm/m/it/10.95 u[] \OT1/cmr/m/n/10.95 + (\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/1 0.95 1)[]\OML/cmm/m/it/10.95 u[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 u[] \ OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 u[] \OMS/cmsy/m/n/10.95 ^^T \OT1/cmr /m/n/10.95 0 [351] LaTeX Warning: Reference `eq:maj_serie_entiere' on page 352 undefined on input line 18498. Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 352 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [352] LaTeX Warning: Reference `eq:maj_serie_entiere' on page 353 undefined on input line 18532. Overfull \hbox (40.21994pt too wide) in paragraph at lines 18533--18542 \T1/ptm/m/n/10.95 puis la di-vi-sion en base 2 avec 81 bits de pré-ci-sion [][] \T1/pcr/m/n/10.95 iquo(numer(a)*2^81,denom(a)) Overfull \hbox (0.36891pt too wide) in paragraph at lines 18549--18553 \T1/ptm/m/n/10.95 l'ordre $\OML/cmm/m/it/10.95 n$\T1/ptm/m/n/10.95 , on sou-hai -te-rait plu-tot ap-pro-cher $\OML/cmm/m/it/10.95 f$ \T1/ptm/m/n/10.95 par une frac-tion $\OML/cmm/m/it/10.95 P=Q$ \T1/ptm/m/n/10.95 avec degré$\OT1/cmr/m/n/1 0.95 (\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 ^^T [353] Underfull \hbox (badness 10000) in paragraph at lines 18580--18585 Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 354 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [354] [355] Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 356 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [356] Underfull \vbox (badness 1107) has occurred while \output is active Overfull \hbox (6.3862pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 24.7. DÉVELOPPEMENTS ASYMPTOTIQUES ET SÉRIES DIVERGENTES \T 1/ptm/m/n/10.95 357 [357] Overfull \hbox (38.68542pt too wide) detected at line 18775 []\OML/cmm/m/it/10.95 S\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10 .95 ) = \OML/cmm/m/it/10.95 e[] [] ; R\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) = \OMS/cmsy/m/n/10.95 ^^@ [][] [] \OML/cmm/m/it/10.95 dt Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 358 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [358] LaTeX Warning: Reference `eq:Eiinf' on page 359 undefined on input line 18836. LaTeX Warning: Reference `eq:gamma' on page 359 undefined on input line 18844. Overfull \hbox (6.3862pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 24.7. DÉVELOPPEMENTS ASYMPTOTIQUES ET SÉRIES DIVERGENTES \T 1/ptm/m/n/10.95 359 [359] LaTeX Warning: Reference `eq:def_gamma' on page 360 undefined on input line 188 78. LaTeX Warning: Reference `eq:Siinf' on page 360 undefined on input line 18894. Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 360 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [360] LaTeX Warning: Reference `eq:Siinf' on page 361 undefined on input line 18952. Overfull \hbox (6.3862pt too wide) has occurred while \output is active \T1/ptm/m/sl/10.95 24.7. DÉVELOPPEMENTS ASYMPTOTIQUES ET SÉRIES DIVERGENTES \T 1/ptm/m/n/10.95 361 [361] Overfull \hbox (166.38121pt too wide) in paragraph at lines 18981--18984 []\T1/ptm/m/n/10.95 les conver-sions se font avec la com-mande [][]\T1/pcr/m/n/ 10.95 convert[]\T1/ptm/m/n/10.95 , par exemple [][]\T1/pcr/m/n/10.95 a:=convert (sin(x),series,x=0,8)[]\T1/ptm/m/n/10.95 , Underfull \hbox (badness 10000) in paragraph at lines 18988--18989 Underfull \hbox (badness 10000) in paragraph at lines 18991--18992 Underfull \hbox (badness 10000) in paragraph at lines 18994--18995 Underfull \hbox (badness 10000) in paragraph at lines 19000--19001 Underfull \hbox (badness 10000) in paragraph at lines 19003--19004 Overfull \hbox (127.83453pt too wide) detected at line 19004 [] \OML/cmm/m/it/10.95 h \OT1/cmr/m/n/10.95 + [] \OML/cmm/m/it/10.95 h[] \OT1/c mr/m/n/10.95 + [] \OML/cmm/m/it/10.95 h[] \OT1/cmr/m/n/10.95 + [] \OML/cmm/m/it /10.95 h[] \OT1/cmr/m/n/10.95 + [] \OML/cmm/m/it/10.95 h[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 h[][] [] Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 362 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [362] Underfull \hbox (badness 10000) in paragraph at lines 19006--19007 [363] Overfull \hbox (198.07568pt too wide) has occurred while \output is active \T1/ptm/m/n/10.95 364 \T1/ptm/m/sl/10.95 CHAPITRE 24. DÉVELOPPEMENT DE TAYLOR, ASYMPTOTIQUES, SÉRIES ENTIÈRES, FONCTIONS USUELLES [364] Chapitre 25. Underfull \vbox (badness 10000) has occurred while \output is active [365] Overfull \hbox (13.2745pt too wide) in paragraph at lines 19070--19075 \T1/ptm/m/n/10.95 sur l'es-pace $\U/msb/m/n/10.95 C[]$\T1/ptm/m/n/10.95 , on a une base or-tho-go-nale don-née par les $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10. 95 W[] \OT1/cmr/m/n/10.95 = (\OML/cmm/m/it/10.95 ![]\OT1/cmr/m/n/10.95 )[]\OML/ cmm/m/it/10.95 ; k \OT1/cmr/m/n/10.95 = [366] Overfull \hbox (13.2503pt too wide) detected at line 19158 \OML/cmm/m/it/10.95 T\OT1/cmr/m/n/10.95 (2[]) = \OML/cmm/m/it/10.95 c\OT1/cmr/m /n/10.95 2[] + 2\OML/cmm/m/it/10.95 T\OT1/cmr/m/n/10.95 (2[]) = \OML/cmm/m/it/1 0.95 c\OT1/cmr/m/n/10.95 2[] + 2(\OML/cmm/m/it/10.95 c\OT1/cmr/m/n/10.95 2[] + 2\OML/cmm/m/it/10.95 T\OT1/cmr/m/n/10.95 (2[]) = \OML/cmm/m/it/10.95 ::: \OT1/c mr/m/n/10.95 = \OML/cmm/m/it/10.95 nc\OT1/cmr/m/n/10.95 2[] + 2[]\OML/cmm/m/it/ 10.95 T\OT1/cmr/m/n/10.95 (0) [367] Underfull \hbox (badness 10000) in paragraph at lines 19222--19223 [368] Overfull \hbox (53.9095pt too wide) in paragraph at lines 19229--19229 [] \T1/pcr/m/n/10.95 if (powmod(g,(p-1)/2,p)!=1 and powmod(g,(p-1)/7,p)!=1) br eak;[] Underfull \hbox (badness 10000) in paragraph at lines 19232--19233 Overfull \hbox (96.85786pt too wide) detected at line 19249 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 19252--19253 Overfull \hbox (965.55873pt too wide) detected at line 19253 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 19257--19258 Overfull \hbox (817.73357pt too wide) detected at line 19258 [] \OML/cmm/m/it/10.95 ; [] Underfull \hbox (badness 10000) in paragraph at lines 19261--19262 Overfull \hbox (26.90015pt too wide) detected at line 19262 [] Underfull \hbox (badness 10000) in paragraph at lines 19264--19265 Overfull \hbox (57.92508pt too wide) detected at line 19265 [] [369] Overfull \hbox (113.03943pt too wide) in paragraph at lines 19311--19311 [] \T1/pcr/m/n/10.95 a:=powmod(k,(n-1)/3,n); b:=powmod(k,(n-1)/5,n); c:=powmod( k,(n-1)/2,n);[] [370] Chapitre 26. Overfull \hbox (37.58302pt too wide) detected at line 19370 \OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 s:v \OT1/cmr/m/n/10.95 = [](\OML/cmm /m/it/10.95 l\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/it/10.95 '\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/it/10.95 ^^R \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 ^^R[]\OT 1/cmr/m/n/10.95 ) [](\OML/cmm/m/it/10.95 i\OT1/cmr/m/n/10.95 ) + [](\OML/cmm/m/ it/10.95 l\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/it/10.95 '\OT1/cmr/m/n/10.95 ) []( \OML/cmm/m/it/10.95 ^^R \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 ^^R[]\OT1/c mr/m/n/10.95 ) + [](\OML/cmm/m/it/10.95 l\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/it/ 10.95 ^^R \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 ^^R[]\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/it/10.95 i\OT1/cmr/m/n/10.95 ) [371] Overfull \hbox (8.7968pt too wide) detected at line 19384 [] \OT1/cmr/m/n/10.95 = [] = [] LaTeX Warning: Reference `sec:dureesaison' on page 372 undefined on input line 19410. [372] LaTeX Warning: Reference `eq:culmination' on page 373 undefined on input line 1 9451. [373] [374] [375] [376] LaTeX Warning: Reference `eq:MF1' on page 377 undefined on input line 19659. [377] LaTeX Warning: Reference `fig:ell' on page 378 undefined on input line 19694. [378 <./ellipse.png>] LaTeX Warning: Reference `eq:Vt' on page 379 undefined on input line 19739. LaTeX Warning: Reference `eq:tempsV' on page 379 undefined on input line 19740. LaTeX Warning: Reference `eq:tempsV' on page 379 undefined on input line 19745. LaTeX Warning: Reference `eq:tV' on page 379 undefined on input line 19746. [379] [380] Chapitre 27. LaTeX Warning: Reference `eq:agm1' on page 381 undefined on input line 19832. [381] LaTeX Warning: Reference `eq:agm1' on page 382 undefined on input line 19856. [382] LaTeX Warning: Reference `eq:lnrhon' on page 383 undefined on input line 19929. [383] Overfull \hbox (4.50378pt too wide) in paragraph at lines 19935--19938 \T1/ptm/m/n/10.95 La conver-gence du $[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u[]=v[]\OT1/cmr/m/n/10.95 )$ \T1/ptm/m/n/10.95 vers 0 est donc géo-mé-trique, donc $\OML/cmm/m/it/10.95 u[]$ \T1/ptm/m/n/10.95 et $\OML/cmm/m/it/10.95 v[]$ \ T1/ptm/m/n/10.95 convergent LaTeX Warning: Reference `eq:agm' on page 384 undefined on input line 19945. [384] Overfull \hbox (22.46803pt too wide) in paragraph at lines 19984--19987 \T1/ptm/m/n/10.95 d'où l'on dé-duit la va-leur de l'in-té-grale el-lip-tique en fonc-tion de la moyenne arithmético- Overfull \hbox (75.4015pt too wide) detected at line 19996 \OML/cmm/m/it/10.95 K\OT1/cmr/m/n/10.95 (([])[]) = [] = [] = [] = [][] Overfull \hbox (2.70071pt too wide) in paragraph at lines 20001--20005 \T1/ptm/m/n/10.95 rithme ef-fi-ca-ce-ment, pour cela on cherche le dé-ve-lop-pe -ment asymp-to-tique de $\OML/cmm/m/it/10.95 K\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 m\OT1/cmr/m/n/10.95 )$ [385] [386] Overfull \hbox (25.29176pt too wide) detected at line 20080 []\OML/cmm/m/it/10.95 K \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 J \OMS/cmsy /m/n/10.95 ^^@ []\OT1/cmr/m/n/10.95 ([]) = [][] [] LaTeX Warning: Reference `eq:maj0' on page 387 undefined on input line 20082. LaTeX Warning: Reference `eq:maj2' on page 387 undefined on input line 20097. Overfull \hbox (50.08379pt too wide) in alignment at lines 20107--20112 [][][] [] [387] LaTeX Warning: Reference `eq:J' on page 388 undefined on input line 20161. Overfull \hbox (60.90184pt too wide) detected at line 20169 \OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 J \OMS/cmsy/m/n/10.95 ^^@ [] [] j \OT1 /cmr/m/n/10.95 = [] [388] Overfull \hbox (13.83684pt too wide) detected at line 20192 []\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 K \OMS/cmsy/m/n/10.95 ^^@ [] [] j ^^ T \OML/cmm/m/it/10.95 k[] [] LaTeX Warning: Reference `eq:ln_agm' on page 389 undefined on input line 20198. [389] Overfull \hbox (53.9095pt too wide) in paragraph at lines 20236--20236 [] \T1/pcr/m/n/10.95 p,y,z:=p*(1+y)/(1+z),(1+y)/sqrt(y)/2,(1+y*z)/(1+z)/sqrt (y);[] Overfull \hbox (8.95088pt too wide) in paragraph at lines 20250--20254 []\T1/ptm/m/n/10.95 On trou-vera dans Brent-Zimmermann quelques consi-dé-ra-tio ns per-met-tant d'amé- Underfull \vbox (badness 10000) has occurred while \output is active [390] Annexe A. [391] LaTeX Warning: Reference `sec:concurrents' on page 392 undefined on input line 20429. [392] Underfull \vbox (badness 10000) has occurred while \output is active [393] [394] [395] [396] [397] [398] Annexe B. [399] [400] Overfull \hbox (0.83838pt too wide) in paragraph at lines 20856--20876 \T1/ptm/m/n/10.95 comme équi-valent à la pu-bli-ca-tion d'un ar-ticle : cer-tai ns qua-li-fient d'ailleurs [401] [402] Underfull \vbox (badness 10000) has occurred while \output is active [403] [404] (./algo_.aux) Package rerunfilecheck Warning: File `algo_.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information){/usr/share/texlive/texmf-d ist/fonts/enc/dvips/base/8r.enc}< /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb>< /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy9.pfb> Output written on algo_.pdf (404 pages, 1625486 bytes). Transcript written on algo_.log. File algo_.tex createdalgo_.tex Then I will run pdflatex algo_ Running hevea2mml algo pdflatex algo_ && mv algo_.pdf algo.pdf ********************************* ********************************* Please take care of the warnings below. Press ENTER to continue Line 245 large output (a:=x^4+5*x^2+7*x+1),(b:=x^3+4*x^2+x+1),(q:=quo(a,b)),(r:=rem(a,b)),quo(a,b,y) -> x^4+5*x^2+7*x+1,x^3+4*x^2+x+1,x-4,20*x^2+10*x+5,(x^4+5*x^2+7*x+1)/(x^3+4*x^2+x+1) Line 247 large output (a:=x^4+5*x^2+7*x+1),(b:=x^3+4*x^2+x+1),gcd(a,b),(u,v,d:=egcd(a,b)),normal(a*u+b*v),(u,v:=abcuv(a,b,x^2,x)),normal(a*u+b*v) -> x^4+5*x^2+7*x+1,x^3+4*x^2+x+1,1,[-16*x^2-66*x-19,16*x^3+2*x^2+75*x+124,105],105,[1/105*(5*x^2+18*x+2),1/105*(-5*x^3+2*x^2-30*x-2)],x^2 Line 251 large output factor(x^4-2),solve(x^4-2=0),factor(x^4-2,2^(1/4)),cfactor(x^4-2,2^(1/4)) -> (x^2-sqrt(2))*(x^2+sqrt(2)),list[-2^(1/4),2^(1/4)],(x-2^(1/4))*(x+2^(1/4))*(x^2+sqrt(2)),(x-2^(1/4))*(x+2^(1/4))*(x+(-i)*2^(1/4))*(x+i*2^(1/4)) Line 257 large output (p:=randpoly(7)),(q:=randpoly(7)),resultant(p,q,x) -> x^7+86*x^6-97*x^5-82*x^4+7*x^3-27*x^2+26*x-89,x^7+63*x^6-49*x^5-86*x^4-64*x^3-30*x^2+70*x+22,1693837261859971750137137 Line 258 large output (m:=sylvester(p,q)),det(m) -> [[1,86,-97,-82,7,-27,26,-89,0,0,0,0,0,0],[0,1,86,-97,-82,7,-27,26,-89,0,0,0,0,0],[0,0,1,86,-97,-82,7,-27,26,-89,0,0,0,0],[0,0,0,1,86,-97,-82,7,-27,26,-89,0,0,0],[0,0,0,0,1,86,-97,-82,7,-27,26,-89,0,0],[0,0,0,0,0,1,86,-97,-82,7,-27,26,-89,0],[0,0,0,0,0,0,1... Line 284 large output (m:=ranm(3,3)),(p,l,u:=lu(m)),permu2mat(p)*m-l*u,linsolve(p,l,u,[1,2,3]) -> matrix[[18,-49,-33],[-70,8,63],[-64,2,62]],[0,2,1],[[1,0,0],[-32/9,1,0],[-35/9,53/50,1]],[[18,-49,-33],[0,-1550/9,-166/3],[0,0,-167/25]],matrix[[0,0,0],[0,0,0],[0,0,0]],[2155/20708,-461/5177,53/334] Line 290 large output (m:=copy([[1,2],[3,4]])),(p,d:=jordan(m)),normal(1/p*m*p),pmin(m) -> [[1,2],[3,4]],[[sqrt(33)-3,-sqrt(33)-3],[6,6]],[[(sqrt(33)+5)/2,0],[0,(-sqrt(33)+5)/2]],[[(sqrt(33)+5)/2,0],[0,(-sqrt(33)+5)/2]],poly1[1,-5,-2] Line 294 large output (m:=ranm(3,3)),ihermite(m),ismith(m) -> matrix[[-71,-57,91],[97,81,-28],[96,-61,-66]],[[1665,1192,27],[1049,751,17],[13693,9803,222]],[[1,0,116357],[0,1,73309],[0,0,956927]],[[-23,0,-17],[1049,751,17],[13693,9803,222]],[[1,0,0],[0,1,0],[0,0,956927]],[[1,-2348,172130503],[0,1,-73309],[0,0,1]] Line 326 large output (m:=ranm(3,3)),(n:=trn(m)*m),cholesky(n) -> matrix[[-30,16,-61],[-92,-1,73],[51,-79,32]],matrix[[11965,-4417,-3254],[-4417,6498,-3577],[-3254,-3577,10074]],[[11965*sqrt(11965)/11965,0,0],[-4417*sqrt(11965)/11965,58238681/11965*sqrt(696825818165)/58238681,0],[-3254*sqrt(11965)/11965,-57171723/11965*... Line 330 large output (p,d:=jordan(evalf(m))),eigenvalues(m),eigenvects(m) -> [[0.608442461946,-0.298034960949-0.23104194391*i,0.231437130328+0.298544735783*i],[0.719053901965,0.0457199610197+0.717441391449*i,-0.718668541327-0.0457981628705*i],[0.335796451098,0.666007772205-0.1219248718*i,0.12213341858-0.667146947289*i]],[[-44.7568... Line 1080 large output (P:=(x+1)^7-(x-1)^6),pgcdderiv(P) -> (x+1)^7-(x-1)^6,7*(x+1)^6-6*(x-1)^5,162/49*x^5-390/49*x^4+1060/49*x^3-780/49*x^2+474/49*x-78/49,157780/729*x^4-507640/2187*x^3+290864/729*x^2-101528/729*x+28028/729,1/49*(1400328/2645*x^3-732888/2645*x^2+1133352/3703*x-732888/18515),1/2187*(2161816376832/... Line 3037 large output F(x,y):=1335/4*y^6+x^2*(11*x^2*y^2-y^6-121*y^4-2)+11/2*y^8+x/2/y -> (x,y)->1335/4*y^6+x^2*(11*x^2*y^2-y^6-121*y^4-2)+11/2*y^8+x/2/y Line 5003 large output (Q1:=Q(x=(x/2))),(P1:=normal(x^(degree(Q1))*Q1(x=(1/x)))),descartes(P1(x=(x+1))) -> (5*x/2-1/3)*(5*x/2-3)*((5*x/2)^2+1),x^4-25/3*x^3+25/2*x^2-625/12*x+625/16,1 Line 5005 large output (Q1:=Q(x=((x+1)/2))),(P1:=normal(x^(degree(Q1))*Q1(x=(1/x)))),descartes(P1(x=(x+1))) -> (5*(x+1)/2-1/3)*(5*(x+1)/2-3)*((5*(x+1)/2)^2+1),-377/48*x^4+50/3*x^3+725/8*x^2+625/6*x+625/16,1 Line 5065 large output (Q:=randpoly(5)),(M:=companion(Q)),nodisp(P,S:=schur(M)),S -> x^5+98*x^4-65*x^3+57*x^2+94*x+86,[[0,0,0,0,-86],[1,0,0,0,-94],[0,1,0,0,-57],[0,0,1,0,65],[0,0,0,1,-98]],"Done",[[-0.27086812932759,-0.4560652925182,0.060132508838967,-0.13864598615503,29.035894435531],[0.64888928053761,-0.73721163370424,0.014745496670053,... Line 5066 large output P*S*trn(P),P*trn(P) -> matrix[[-1.6619303115227e-15,5.0598360137183e-16,-5.2041704279304e-17,2.2204460492503e-15,-85.999999999999],[0.99999999999999,-1.0678036146267e-15,-1.1293049828609e-15,2.7755575615629e-15,-93.999999999999],[-2.2469798857186e-15,0.99999999999999,-2.4199392... Line 6085 large output G:=gbasis(syst,[x,y],rur) -> [rur,y,-y^5+2*y^4+3*y^3+2*y^2-y-12,-5*y^4+8*y^3+9*y^2+4*y-1,y^4+10*y^3-9*y^2+16*y+7,-2*y^4-6*y^3-6*y^2+4*y+60] Line 6091 large output (d:=G[3]),[(G[4])/d,(G[5])/d],G[2] -> -5*y^4+8*y^3+9*y^2+4*y-1,[(y^4+10*y^3-9*y^2+16*y+7)/(-5*y^4+8*y^3+9*y^2+4*y-1),(-2*y^4-6*y^3-6*y^2+4*y+60)/(-5*y^4+8*y^3+9*y^2+4*y-1)],-y^5+2*y^4+3*y^3+2*y^2-y-12 Line 6093 large output N:=numer(normal(subst(syst,[x,y],[(G[4])/d,(G[5])/d]))) -> [-28*y^8+76*y^7+48*y^6-308*y^5+512*y^4+564*y^3+836*y^2-248*y-3552,-608*y^12+3156*y^11-1396*y^10-7104*y^9-2304*y^8-4068*y^7+13308*y^6-18504*y^5+25104*y^4+82972*y^3+66012*y^2-44800*y-216768] Line 6096 large output (S:=proot(G[2])),subst([(G[4])/d,(G[5])/d],x=(S[0])) -> [-1.4569241723405,-0.46483008480022-1.3369710417425*i,-0.46483008480022+1.3369710417425*i,1.3568831863778,3.0297011555631],[(y^4+10*y^3-9*y^2+16*y+7)/(-5*y^4+8*y^3+9*y^2+4*y-1),(-2*y^4-6*y^3-6*y^2+4*y+60)/(-5*y^4+8*y^3+9*y^2+4*y-1)] Line 6420 slider (m:=-2),gl_x=((-3) .. 3),gl_y=((-4) .. 4),(x:=t^2-m*t),(y:=m/(1+t^2)+t),plotparam([x,y],t=((-3) .. 3)) -> -2,gl_x=((-3) .. 3),gl_y=((-4) .. 4),poly1[2,4,20],poly1[1,2,43/15],[] Line 6874 slider (a:=(0.6)),gl_x=((-5) .. 5),gl_y=(0 .. 6),(P:=plotfunc(x^2/2+1/2,x=((-5) .. 5))),(D:=line(x=(evalf(a)),'color'=red)),(M:=single_inter(P,D)),(T:=tangent(P,M)),(R:=symetrie(T,D,'color'=red)),(L:=append(L,R)) -> 0.6,gl_x=((-5) .. 5),gl_y=(0 .. 6),pnt(pnt[curve(group[pnt[x+i*(x^2/2+1/2),x,-5.0,4.9999999999999,0],group[-5.0+13.0*i,-4.9750623441396+12.875622664038*i,-4.9501246882793+12.751867214756*i,-4.9251870324189+12.628733652154*i,-4.9002493765586+12.50622197623... Line 6990 large output restart,(z:=(X+i*Y)*exp2trig(exp(i*alpha))),(x:=re(z)),(y:=im(z)),tlin(coeff(a*x^2+b*x*y+c*y^2,[X,Y],[1,1])) -> [A,B,Base,D,E,F,G,K,L,M,N,P,P1,Q,Q1,R,S,Somme,T,X,Y,a,b,c,d,descartes,eq,etat,f,g,isole,isole01,isqrt,k,l,l1,m,n,p,pgcd,pgcdderiv,q,r,rapide,rsym,syst,t,z],(X+i*Y)*(cos(alpha)+i*sin(alpha)),X*cos(alpha)-Y*sin(alpha),X*sin(alpha)+Y*cos(alpha),-(a-c)*sin(2*... Line 7030 large output (t:='t'),arclen([t,t^2],t,t0,t1) -> "No such variable t",(2*t1*sqrt(4*t1^2+1)-ln(-2*t1+sqrt(4*t1^2+1)))/4-(2*t0*sqrt(4*t0^2+1)-ln(-2*t0+sqrt(4*t0^2+1)))/4 Line 7132 slider (t0:=0),gl_x=((-5) .. 5),gl_y=(0 .. 6),(G:=plotparam([t,t^2],t=((-2.3) .. 2.3),'color'=red)),(M:=point(evalf(t0),t0^2,affichage=(black+point_width_3))),(T:=tangent(G,evalf(t0))),(N:=normalize([-slope(T),1])),(R:=(1+4*t0^2)^(3/2)/2),(C:=circle(M+R*N,R)) -> "circle(M+R*N,R) Error: Bad Argument Value" Line 7217 large output (eq:=simplify(parameq(A))),trigcos(re(eq)),im(eq) -> (-21*tan(t/2)^6+63*tan(t/2)^4-224*i*tan(t/2)^3-63*tan(t/2)^2+21)/(12*tan(t/2)^6+36*tan(t/2)^4+36*tan(t/2)^2+12),14*cos(1/2*t)^6-21*cos(1/2*t)^4+21/2*cos(1/2*t)^2-7/4,-224*tan(t/2)^3/(12*tan(t/2)^6+36*tan(t/2)^4+36*tan(t/2)^2+12) Line 8250 large output desolve(y'=([[1,2],[2,1]]*y)) -> [[(c_0*exp(-x)+c_0*exp(3*x)-c_1*exp(-x)+c_1*exp(3*x))/2,(-c_0*exp(-x)+c_0*exp(3*x)+c_1*exp(-x)+c_1*exp(3*x))/2]] Line 8367 large output (A:=copy([[-1,1],[1,2]])),(p,d:=jordan(A)) -> [[-1,1],[1,2]],[[sqrt(13)-3,-sqrt(13)-3],[2,2]],[[(sqrt(13)+1)/2,0],[0,(-sqrt(13)+1)/2]] Line 8414 large output p,d:=jordan(A) -> [[-i,i,-i,i],[-i,i,i,-i],[-omega,-omega,sqrt(3)*omega,sqrt(3)*omega],[-omega,-omega,(-sqrt(3))*omega,(-sqrt(3))*omega]],[[(-i)*omega,0,0,0],[0,i*omega,0,0],[0,0,i*sqrt(3)*omega,0],[0,0,0,(-i)*sqrt(3)*omega]] Line 12790 large output N(x):=(1-x)^4/(4!)-1/6*(1-x)^3/(3!)-2/3/(3!)*max(0,1/2-x)^3 -> (x)->(1-x)^4/(4!)-1/6*(1-x)^3/(3!)-2/3/(3!)*max(0,1/2-x)^3 Line 13086 large output (p:=interp(l,f)),int(p,x,-1.0,1.0) -> (((((((-0.0581540739601*(x-0.679409568299)+0.106943591296)*(x-0.433395394129)-0.0359778773977)*(x-0.148874338982)-0.166882076533)*(x+0.148874338982)+0.130512137108)*(x+0.433395394129)+0.327542115326)*(x+0.679409568299)+0.105208930962)*(x+0.865063366689)-0... Line 13099 large output (n:=10),(P:=legendre(n)),(Q:=legendre(n-1)),(l:=proot(P)) -> 10,46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,12155/128*x^9-6435/32*x^7+9009/64*x^5-1155/32*x^3+315/128*x,[-0.973906528517,-0.865063366689,-0.679409568299,-0.433395394129,-0.148874338982,0.148874338982,0.433395394129,0.6... Line 13101 large output seq(2/(1-(l[j])^2)/((P')(x=(l[j])))^2,j,0,n-1) -> [38.8303719518/(230945/128*x^9-109395/32*x^7+135135/64*x^5-15015/32*x^3+3465/128*x)^2=0.0666713443087,7.94706076241/(230945/128*x^9-109395/32*x^7+135135/64*x^5-15015/32*x^3+3465/128*x)^2=0.149451349151,3.71469204824/(230945/128*x^9-109395/32*x^7+135135/64... Line 13103 large output seq(2/n/(Q(x=(l[j])))/((P')(x=(l[j]))),j,0,n-1) -> [-1.60899754444/(230945/128*x^9-109395/32*x^7+135135/64*x^5-15015/32*x^3+3465/128*x)=0.0666713443084,1.08981601783/(230945/128*x^9-109395/32*x^7+135135/64*x^5-15015/32*x^3+3465/128*x)=0.149451349151,-0.902129906785/(230945/128*x^9-109395/32*x^7+135135/64*... Line 13210 large output I:=seq(2*sum(apply(f,ranv(n,'uniformd',a,b)))/n,500) -> [0.889762323329,0.901786849785,0.86194917019,0.885290988808,0.837585010908,0.891338874344,0.861735135513,0.872366894705,0.866162533941,0.893846268151,0.890447775422,0.879390446305,0.900999177417,0.897690273012,0.867569283722,0.857383190063,0.895987531653,... Line 14057 large output (M:=([[2,2,3,4],[1,-2,1,2],[-2,2,3,5]]) % 11),piv(M) -> [[2 % 11,2 % 11,3 % 11,4 % 11],[1 % 11,-2 % 11,1 % 11,2 % 11],[-2 % 11,2 % 11,3 % 11,5 % 11]],[[1 % 11,1 % 11,-4 % 11,2 % 11],[0 % 11,1 % 11,2 % 11,0 % 11],[0 % 11,0 % 11,1 % 11,1 % 11]] Line 15261 large output nodisp(p:=idn(3)),(p[1]:=a[0]),1/p,a/p,(b:=p*a/p) -> "Done",matrix[[1,0,0],[1,2,3],[0,0,1]],matrix[[1,0,0],[-1/2,1/2,-3/2],[0,0,1]],matrix[[0,1,0],[3/2,-1/2,5/2],[7/2,-3/2,15/2]],matrix[[0,1,0],[27/2,-9/2,55/2],[7/2,-3/2,15/2]] Line 15263 large output nodisp(p:=idn(3)),(p[2]:=b[1]),1/p,b/p,(c:=p*b/p) -> "Done",matrix[[1,0,0],[0,1,0],[27/2,-9/2,55/2]],matrix[[1,0,0],[0,1,0],[-27/55,9/55,2/55]],matrix[[0,1,0],[0,0,1],[-2/11,-3/11,3/11]],matrix[[0,1,0],[0,0,1],[-5,6,3]] Line 17115 large output P:=interp(X,Y) -> (((((((((-0.0178001249166*(x-0.9)-0.0363274736916)*(x-0.8)+0.115803003415)*(x-0.7)-0.130300852032)*(x-0.6)-0.0302000055628)*(x-0.5)+0.304175721974)*(x-0.4)-0.319926807877)*(x-0.3)-0.272241776549)*(x-0.2)+0.966002572347)*(x-0.1)+0.0995033085317)*x Line 17267 large output restart,(l(k,n):=product((x-j)/(k-j),j,0,k-1)*product((x-j)/(k-j),j,k+1,n)) -> [A,C,D,F,G,I,J,L,M,N,P,P0,Q,X,Y,a,b,c,d,dd,dunford,f,fl,g,h,j,jacobi,k,l,m,n,p,piv,q,r,s,seidel,sym,y0], (k,n)->product((x-j)/(k-j),j,0,k-1)*product((x-j)/(k-j),j,k+1,n) Line 17274 large output (n:=40),(g:=l(0,n)+add((-1)^(k+n-1)*l(k,n),k,1,n)) -> 40,-(-x+1)*(x-2)/2*(x-3)/3*(x-4)/4*(x-5)/5*(x-6)/6*(x-7)/7*(x-8)/8*(x-9)/9*(x-10)/10*(x-11)/11*(x-12)/12*(x-13)/13*(x-14)/14*(x-15)/15*(x-16)/16*(x-17)/17*(x-18)/18*(x-19)/19*(x-20)/20*(x-21)/21*(x-22)/22*(x-23)/23*(x-24)/24*(x-25)/25*(x-26)/26*(x-27)/27*... Line 17277 large output (g1:=normal(g')),(l:=realroot(g1,1e-12,'evalf')) -> -78536544841/1456991577228388811331448695707349811200000000*x^39+2443359172831/58113624162955679084445247122230476800000000*x^38-100563025032551/6352501426719851559838144422268108800000000*x^37+285140015469349/74398665357980243493599889630167040000000*x^3... Line 17483 large output (q:=p*1/sum(p)),normal(poly2symb(revlist(q))),legendre(n) -> [-63/256,0,3465/256,0,-15015/128,0,45045/128,0,-109395/256,0,46189/256],46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256,46189/256*x^10-109395/256*x^8+45045/128*x^6-15015/128*x^4+3465/256*x^2-63/256 Line 17529 large output gramschmidt([1,x,x^2,x^3,x^4],S) -> [1/sqrt(2),x/(sqrt(6)/3),(x^2-1/3)/(6*sqrt(10)/45),(x^3-3/5*x)/(10*sqrt(14)/175),(-1/5-6/7*(x^2-1/3)+x^4)/(840*sqrt(2)/11025)] Line 17530 large output (f:=ln(x+2)),(C:=seq((S(f,legendre(k)))/(S(legendre(k),legendre(k))),k,0,4)) -> ln(x+2),[(3*ln(3)-2)/2,3*(1/4*(-6*ln(3)+15)-7/4)/2,5*(1/2*(6*ln(3)-15)+25/6)/2,7*(1/32*(-228*ln(3)+615)-1093/96)/2,9*(1/80*(1500*ln(3)-4317)+2669/80)/2] Line 17531 large output g:=sum(C[j]*legendre(j),j,0,4) -> (354375*x^4*ln(3)-389340*x^4-59850*x^3*ln(3)+65800*x^3-292950*x^2*ln(3)+321720*x^2+33750*x*ln(3)-36600*x+28215*ln(3)-30332)/960 ********************************* ********************************* set -e; for i in algo.pdf; do test -e $i; done make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' Making all in el make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/el' TEXINPUTS=.:$TEXINPUTS hevea -fix cas_el.tex TEXINPUTS=.:$TEXINPUTS hevea -fix cascmd_el.tex TEXINPUTS=.:$TEXINPUTS /usr/bin/pdflatex cas_el.tex TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas_el.tex This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. ./cascmd_el.tex:2: Warning: Command not found: \textheight HeVeA Warning: Label(s) may have changed. Rerun me to get cross-references right. Run, run, again... /usr/share/hevea/babel.hva:170: Warning: Hevea babel 'greek' not found, loading 'english' instead /usr/share/hevea/english.hva:34: Warning: Ignoring (re-)definition of '\english@babel' by \newcommand /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'colorlinks' entering extended mode (./cas_el.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls./cascmd_el.tex:45: Warning: Command not found: \textgreek Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo./cascmd_el.tex:49: Warning: Command not found: \textgreek )Fixpoint reached in 2 step(s) tdir=`echo cas_el.tex | sed -e 's/\.tex//'`; \ imagen -png -pdf -mag 2000 $tdir; \ /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d $tdir ; \ hacha $tdir.html -o $tdir/index.html ; \ touch $tdir.png ; \ /bin/cp -f $tdir*.png $tdir ./cascmd_el.tex:49: Warning: Command not found: \textlatin ./cascmd_el.tex:49: Warning: Command not found: \textgreek ./cascmd_el.tex:49: Warning: Command not found: \textlatin ./cascmd_el.tex:49: Warning: Command not found: \textgreek ./cascmd_el.tex:49: Warning: Command not found: \textgreek ./cascmd_el.tex:49: Warning: Command not found: \textgreek ./cascmd_el.tex:49: Warning: Command not found: \textgreek ./cascmd_el.tex:49: Warning: Command not found: \textlatin ./cascmd_el.tex:50: Warning: Command not found: \vfill )./cascmd_el.tex:62: Warning: Command not found: \greek@babel ./cascmd_el.tex:65: Warning: Command not found: \textgreek ./cascmd_el.tex:65: Warning: Command not found: \textgreek ./cascmd_el.tex:68: Warning: Command not found: \textgreek ./cascmd_el.tex:68: Warning: Command not found: \textlatin ./cascmd_el.tex:68: Warning: Command not found: \textgreek ./cascmd_el.tex:68: Warning: Command not found: \textlatin ./cascmd_el.tex:68: Warning: Command not found: \textgreek ./cascmd_el.tex:68: Warning: Command not found: \textlatin ./cascmd_el.tex:68: Warning: Command not found: \textgreek ./cascmd_el.tex:68: Warning: Command not found: \textlatin (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def./cascmd_el.tex:70: Warning: Command not found: \greek@babel RESOLUTION: 200 )entering extended mode (./cas_el.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03>Failure: no cas_el.image.tex file! ./cascmd_el.tex:79: Warning: Command not found: \textgreek ./cascmd_el.tex:79: Warning: Command not found: \textgreek No file cas_el.aux. [1]./cascmd_el.tex:80: Warning: Command not found: \textgreek ./cascmd_el.tex:80: Warning: Command not found: \textlatin ./cascmd_el.tex:80: Warning: Command not found: \textgreek ./cascmd_el.tex:80: Warning: Command not found: \textlatin Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2]./cascmd_el.tex:81: Warning: Command not found: \greek@babel LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4 (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls] Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo./cascmd_el.tex:87: Warning: Command not found: \textgreek ./cascmd_el.tex:87: Warning: Command not found: \textlatin )./cascmd_el.tex:87: Warning: Command not found: \textgreek ./cascmd_el.tex:87: Warning: Command not found: \textlatin ) Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_el.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_el.dvi (5 pages, 15572 bytes). Transcript written on cas_el.log. (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def)TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas_el.tex (./cas_el.aux) [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]./cascmd_el.tex:108: Warning: Command not found: \greek@babel ./cascmd_el.tex:112: Warning: Command not found: \greek@babel Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2]./cascmd_el.tex:116: Warning: Command not found: \textgreek ./cascmd_el.tex:116: Warning: Command not found: \textlatin ./cascmd_el.tex:116: Warning: Command not found: \textgreek ./cascmd_el.tex:116: Warning: Command not found: \textlatin ./cascmd_el.tex:116: Warning: Command not found: \textgreek ./cascmd_el.tex:116: Warning: Command not found: \textlatin ./cascmd_el.tex:116: Warning: Command not found: \textgreek ./cascmd_el.tex:116: Warning: Command not found: \textlatin touch cas_el.stamp LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3]This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_el.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_el.pdf (5 pages, 118085 bytes). Transcript written on cas_el.log. TEXINPUTS=.:$TEXINPUTS /usr/bin/pdflatex cas_el.tex ./cascmd_el.tex:149: Warning: Command not found: \greek@babel ./cascmd_el.tex:150: Warning: Command not found: \textgreek ./cascmd_el.tex:150: Warning: Command not found: \textlatin ./cascmd_el.tex:150: Warning: Command not found: \textgreek ./cascmd_el.tex:150: Warning: Command not found: \textlatin ./cascmd_el.tex:152: Warning: Command not found: \greek@babel This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. ./cascmd_el.tex:167: Warning: Command not found: \textgreek ./cascmd_el.tex:167: Warning: Command not found: \textlatin ./cascmd_el.tex:167: Warning: Command not found: \textgreek ./cascmd_el.tex:167: Warning: Command not found: \textlatin ./cascmd_el.tex:168: Warning: Command not found: \greek@babel ./cascmd_el.tex:183: Warning: Command not found: \textgreek ./cascmd_el.tex:183: Warning: Command not found: \textlatin ./cascmd_el.tex:183: Warning: Command not found: \textgreek ./cascmd_el.tex:183: Warning: Command not found: \textlatin ./cascmd_el.tex:183: Warning: Command not found: \textgreek ./cascmd_el.tex:183: Warning: Command not found: \textlatin ./cascmd_el.tex:183: Warning: Command not found: \textgreek ./cascmd_el.tex:183: Warning: Command not found: \textlatin ./cascmd_el.tex:184: Warning: Command not found: \textgreek ./cascmd_el.tex:184: Warning: Command not found: \textlatin ./cascmd_el.tex:184: Warning: Command not found: \textgreek ./cascmd_el.tex:184: Warning: Command not found: \textlatin ./cascmd_el.tex:186: Warning: Command not found: \greek@babel ./cascmd_el.tex:186: Warning: Command not found: \greek@babel ./cascmd_el.tex:188: Warning: Command not found: \greek@babel ./cascmd_el.tex:189: Warning: Command not found: \greek@babel ./cascmd_el.tex:191: Warning: Command not found: \greek@babel entering extended mode (./cas_el.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo))./cascmd_el.tex:203: Warning: Command not found: \greek@babel (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def) (./cas_el.aux) [1]./cascmd_el.tex:205: Warning: Command not found: \greek@babel Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3] Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4]./cascmd_el.tex:217: Warning: Command not found: \greek@babel ./cascmd_el.tex:219: Warning: Command not found: \greek@babel Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5]entering extended mode (./cas_el.tex (./cas_el.aux LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27>) xparse <2020-03-03> LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) Output written on cas_el.dvi (5 pages, 15572 bytes). Transcript written on cas_el.log. if /bin/grep -E -q -e '\\makeindex' cas_el.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo cas_el.dvi | sed -e s/\.dvi/\.idx/` ; \ fi (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo))./cascmd_el.tex:231: Warning: Command not found: \textgreek ./cascmd_el.tex:231: Warning: Command not found: \textlatin ./cascmd_el.tex:231: Warning: Command not found: \textgreek ./cascmd_el.tex:231: Warning: Command not found: \textlatin ./cascmd_el.tex:231: Warning: Command not found: \textlatin ./cascmd_el.tex:231: Warning: Command not found: \textgreek ./cascmd_el.tex:231: Warning: Command not found: \textlatin ./cascmd_el.tex:231: Warning: Command not found: \textgreek ./cascmd_el.tex:231: Warning: Command not found: \textlatin ./cascmd_el.tex:231: Warning: Command not found: \textlatin ./cascmd_el.tex:232: Warning: Command not found: \greek@babel TEXINPUTS=.:$TEXINPUTS /usr/bin/latex cas_el.tex (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def)./cascmd_el.tex:232: Warning: Command not found: \greek@babel (./cas_el.aux)./cascmd_el.tex:237: Warning: \item outside a list-making environment [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map./cascmd_el.tex:245: Warning: Command not found: \textgreek ./cascmd_el.tex:245: Warning: Command not found: \textgreek }]./cascmd_el.tex:246: Warning: Command not found: \textgreek ./cascmd_el.tex:246: Warning: Command not found: \textlatin ./cascmd_el.tex:246: Warning: Command not found: \textgreek ./cascmd_el.tex:246: Warning: Command not found: \textlatin Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2] LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3]./cascmd_el.tex:266: Warning: Command not found: \greek@babel ./cascmd_el.tex:267: Warning: Command not found: \greek@babel Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4]./cascmd_el.tex:274: Warning: Command not found: \textgreek ./cascmd_el.tex:274: Warning: Command not found: \textlatin ./cascmd_el.tex:274: Warning: Command not found: \textgreek ./cascmd_el.tex:274: Warning: Command not found: \textlatin This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=latex) restricted \write18 enabled. Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. Overfull \hbox (22.80463pt too wide) in paragraph at lines 198--205 \OT1/cmr/m/n/10 Al-gunos ejem-p-los de pro-gra-mas est^^San in-clu-i-dos: \OT1/ cmtt/m/n/10 src/factor.cc\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 src/normalize.cc\OT 1/cmr/m/n/10 , [5] (./cas_el.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) (see the transcript file for additional information) ./cascmd_el.tex:295: Warning: Command not found: \textlatin ./cascmd_el.tex:295: Warning: Command not found: \textgreek ./cascmd_el.tex:295: Warning: Command not found: \textlatin ./cascmd_el.tex:304: Warning: Command not found: \textgreek ./cascmd_el.tex:304: Warning: Command not found: \textlatin ./cascmd_el.tex:304: Warning: Command not found: \textgreek ./cascmd_el.tex:304: Warning: Command not found: \textlatin ./cascmd_el.tex:304: Warning: Command not found: \textgreek ./cascmd_el.tex:304: Warning: Command not found: \textlatin ./cascmd_el.tex:304: Warning: Command not found: \textgreek ./cascmd_el.tex:304: Warning: Command not found: \textlatin Output written on cas_el.pdf (5 pages, 118085 bytes). Transcript written on cas_el.log. if /bin/grep -E -q -e '\\makeindex' cas_el.tex; then \ TEXINPUTS=.:$TEXINPUTS /usr/bin/makeindex `echo cas_el.pdf | sed -e s/\.pdf/\.idx/` ; \ fi ./cascmd_el.tex:307: Warning: Command not found: \greek@babel ./cascmd_el.tex:308: Warning: Command not found: \greek@babel TEXINPUTS=.:$TEXINPUTS /usr/bin/pdflatex cas_el.tex ./cascmd_el.tex:326: Warning: Command not found: \textgreek ./cascmd_el.tex:326: Warning: Command not found: \textlatin ./cascmd_el.tex:326: Warning: Command not found: \textgreek ./cascmd_el.tex:326: Warning: Command not found: \textlatin ./cascmd_el.tex:326: Warning: Command not found: \textgreek ./cascmd_el.tex:326: Warning: Command not found: \textlatin ./cascmd_el.tex:326: Warning: Command not found: \textgreek ./cascmd_el.tex:326: Warning: Command not found: \textlatin ./cascmd_el.tex:328: Warning: Command not found: \greek@babel ./cascmd_el.tex:338: Warning: Command not found: \textgreek ./cascmd_el.tex:338: Warning: Command not found: \textlatin ./cascmd_el.tex:338: Warning: Command not found: \textlatin ./cascmd_el.tex:338: Warning: Command not found: \textgreek ./cascmd_el.tex:338: Warning: Command not found: \textlatin ./cascmd_el.tex:338: Warning: Command not found: \textlatin ./cascmd_el.tex:340: Warning: Command not found: \greek@babel entering extended mode (./cas_el.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27> xparse <2020-03-03>./cascmd_el.tex:341: Warning: Command not found: \greek@babel (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls./cascmd_el.tex:355: Warning: Command not found: \textgreek ./cascmd_el.tex:355: Warning: Command not found: \textlatin Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo./cascmd_el.tex:355: Warning: Command not found: \textgreek ./cascmd_el.tex:355: Warning: Command not found: \textlatin This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex) restricted \write18 enabled. )) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-dvips.def) (./cas_el.aux)./cascmd_el.tex:370: Warning: Command not found: \textgreek ./cascmd_el.tex:370: Warning: Command not found: \textlatin ./cascmd_el.tex:370: Warning: Command not found: \textgreek ./cascmd_el.tex:370: Warning: Command not found: \textlatin [1] Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2]./cascmd_el.tex:388: Warning: Command not found: \textgreek ./cascmd_el.tex:388: Warning: Command not found: \textgreek LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. [3]./cascmd_el.tex:393: Warning: Command not found: \greek@babel Overfull \hbox (5.8612pt too wide) in paragraph at lines 141--144 \OT1/cmr/m/n/10 en el di-rec-to-rio ac-tual, salvo cuando se ac-ti-van las vari -ables de en-torno [][]\OT1/cmtt/m/n/10 SHOW_TIME[]\OT1/cmr/m/n/10 . Overfull \hbox (7.05487pt too wide) in paragraph at lines 174--175 \OT1/cmr/m/n/10 N^^Sotese que puedes usar [][]\OT1/cmtt/m/n/10 #include []\OT1/cmr/m/n/10 para in-cluir to-das las cabeceras [4] Overfull \hbox (14.07219pt too wide) in paragraph at lines 182--183 [][][]\OT1/cmtt/m/n/10 derive.cc intg.cc lin.cc series.cc subst.cc/.h[]\OT1/cmr /m/n/10 : C^^Salculo. Derivaci^^Son Overfull \hbox (6.91652pt too wide) in paragraph at lines 198--205 []\OT1/cmr/m/n/10 L^^See \OT1/cmtt/m/n/10 giac.texinfo \OT1/cmr/m/n/10 para obt ener una corta de-scripci^^Son de las clases disponibles. 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Transcript written on cas_el.log. ./cascmd_el.tex:410: Warning: Command not found: \textgreek ./cascmd_el.tex:410: Warning: Command not found: \textlatin ./cascmd_el.tex:410: Warning: Command not found: \textgreek ./cascmd_el.tex:410: Warning: Command not found: \textlatin /usr/bin/dvips -o cas_el.ps cas_el.dvi ./cascmd_el.tex:419: Warning: Command not found: \textgreek ./cascmd_el.tex:419: Warning: Command not found: \textlatin ./cascmd_el.tex:419: Warning: Command not found: \textgreek ./cascmd_el.tex:419: Warning: Command not found: \textlatin ./cascmd_el.tex:459: Warning: Command not found: \textgreek ./cascmd_el.tex:459: Warning: Command not found: \textlatin ./cascmd_el.tex:459: Warning: Command not found: \textgreek ./cascmd_el.tex:459: Warning: Command not found: \textlatin ./cascmd_el.tex:463: Warning: Command not found: \greek@babel ./cascmd_el.tex:465: Warning: Command not found: \greek@babel This is dvips(k) 2020.1 Copyright 2020 Radical Eye Software (www.radicaleye.com) ' TeX output 2021.10.19:1515' -> cas_el.ps . ./cascmd_el.tex:498: Warning: Command not found: \textgreek ./cascmd_el.tex:498: Warning: Command not found: \textlatin ./cascmd_el.tex:498: Warning: Command not found: \textgreek ./cascmd_el.tex:498: Warning: Command not found: \textgreek ./cascmd_el.tex:498: Warning: Command not found: \textlatin ./cascmd_el.tex:498: Warning: Command not found: \textgreek ./cascmd_el.tex:501: Warning: Command not found: \greek@babel ./cascmd_el.tex:503: Warning: Command not found: \textgreek ./cascmd_el.tex:503: Warning: Command not found: \textlatin ./cascmd_el.tex:503: Warning: Command not found: \textgreek ./cascmd_el.tex:503: Warning: Command not found: \textlatin ./cascmd_el.tex:504: Warning: Command not found: \textlatin [1entering extended mode (./cas_el.tex LaTeX2e <2020-10-01> patch level 2 L3 programming layer <2020-10-27>] [2 xparse <2020-03-03>] [3] [4] [5] ./cascmd_el.tex:515: Warning: Command not found: \greek@babel ./cascmd_el.tex:515: Warning: Command not found: \greek@babel ./cascmd_el.tex:516: Warning: Undefined label: 'sec:gcd' (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2020/04/10 v1.4m Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo)./cascmd_el.tex:530: Warning: Command not found: \greek@babel )./cascmd_el.tex:557: Warning: Command not found: \greek@babel ./cascmd_el.tex:566: Warning: Command not found: \textlatin ./cascmd_el.tex:566: Warning: Command not found: \textlatin ./cascmd_el.tex:566: Warning: Command not found: \textlatin ./cascmd_el.tex:566: Warning: Command not found: \textlatin (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def)./cascmd_el.tex:575: Warning: Command not found: \textlatin ./cascmd_el.tex:575: Warning: Command not found: \textgreek ./cascmd_el.tex:575: Warning: Command not found: \textlatin (./cas_el.aux)./cascmd_el.tex:575: Warning: Command not found: \textlatin ./cascmd_el.tex:575: Warning: Command not found: \textgreek ./cascmd_el.tex:575: Warning: Command not found: \textlatin [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map./cascmd_el.tex:586: Warning: Command not found: \textgreek ./cascmd_el.tex:586: Warning: Command not found: \textlatin ./cascmd_el.tex:586: Warning: Command not found: \textgreek ./cascmd_el.tex:586: Warning: Command not found: \textlatin ./cascmd_el.tex:588: Warning: Undefined label: 'sec:lcm' ./cascmd_el.tex:594: Warning: Command not found: \textgreek ./cascmd_el.tex:594: Warning: Command not found: \textlatin ./cascmd_el.tex:594: Warning: Command not found: \textgreek ./cascmd_el.tex:594: Warning: Command not found: \textlatin }]./cascmd_el.tex:606: Warning: Command not found: \textgreek ./cascmd_el.tex:606: Warning: Command not found: \textlatin ./cascmd_el.tex:606: Warning: Command not found: \textgreek ./cascmd_el.tex:606: Warning: Command not found: \textlatin Overfull \hbox (0.38774pt too wide) in paragraph at lines 74--78 []\OT1/cmr/m/n/10 funciones tran-scen-den-tales : \OT1/cmtt/m/n/10 acos\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 acosh\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 alog\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 asin\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 asinh\OT1/cmr /m/n/10 , \OT1/cmtt/m/n/10 atan\OT1/cmr/m/n/10 , \OT1/cmtt/m/n/10 atanh\OT1/cmr /m/n/10 , [2]./cascmd_el.tex:621: Warning: Command not found: \textgreek ./cascmd_el.tex:621: Warning: Command not found: \textlatin ./cascmd_el.tex:621: Warning: Command not found: \textgreek ./cascmd_el.tex:621: Warning: Command not found: \textlatin LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 100. 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./cascmd_el.tex:5605: Warning: Command not found: \greek@babel ./cascmd_el.tex:5616: Warning: Command not found: \textlatin ./cascmd_el.tex:5616: Warning: Command not found: \textlatin ./cascmd_el.tex:5616: Warning: Command not found: \textlatin ./cascmd_el.tex:5616: Warning: Command not found: \textlatin ./cascmd_el.tex:5618: Warning: Command not found: \textlatin ./cascmd_el.tex:5619: Warning: Command not found: \textlatin ./cascmd_el.tex:5619: Warning: Command not found: \textlatin ./cascmd_el.tex:5620: Warning: Command not found: \textlatin ./cascmd_el.tex:5640: Warning: Command not found: \textlatin ./cascmd_el.tex:5646: Warning: Command not found: \textlatin ./cascmd_el.tex:5647: Warning: Command not found: \textlatin ./cascmd_el.tex:5649: Warning: Command not found: \textlatin ./cascmd_el.tex:5650: Warning: Command not found: \textlatin ./cascmd_el.tex:5661: Warning: Command not found: \textlatin ./cascmd_el.tex:5665: Warning: Command not found: \textlatin ./cascmd_el.tex:5672: 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\textlatin ./cascmd_el.tex:5619: Warning: Command not found: \textlatin ./cascmd_el.tex:5620: Warning: Command not found: \textlatin ./cascmd_el.tex:5640: Warning: Command not found: \textlatin ./cascmd_el.tex:5646: Warning: Command not found: \textlatin ./cascmd_el.tex:5647: Warning: Command not found: \textlatin ./cascmd_el.tex:5649: Warning: Command not found: \textlatin ./cascmd_el.tex:5650: Warning: Command not found: \textlatin ./cascmd_el.tex:5661: Warning: Command not found: \textlatin ./cascmd_el.tex:5665: Warning: Command not found: \textlatin ./cascmd_el.tex:5672: Warning: Command not found: \greek@babel ./cascmd_el.tex:5674: Warning: Command not found: \textlatin ./cascmd_el.tex:5674: Warning: Command not found: \textlatin ./cascmd_el.tex:5674: Warning: Command not found: \textlatin ./cascmd_el.tex:5674: Warning: Command not found: \textlatin ./cascmd_el.tex:5676: Warning: Command not found: \textlatin ./cascmd_el.tex:5678: Warning: Command not found: \textlatin ./cascmd_el.tex:5704: Warning: Command not found: \textlatin ./cascmd_el.tex:5704: Warning: Command not found: \textlatin ./cascmd_el.tex:5708: Warning: Command not found: \textlatin ./cascmd_el.tex:5709: Warning: Command not found: \textlatin ./cascmd_el.tex:5738: Warning: Command not found: \greek@babel ./cascmd_el.tex:5740: Warning: Command not found: \textlatin ./cascmd_el.tex:5769: Warning: Command not found: \textlatin ./cascmd_el.tex:5789: Warning: \overrightarrow outside display mode ./cascmd_el.tex:5789: Warning: \overrightarrow outside display mode ./cascmd_el.tex:5789: Warning: \overrightarrow outside display mode ./cascmd_el.tex:5803: Warning: Command not found: \textlatin ./cascmd_el.tex:5835: Warning: Command not found: \textlatin ./cascmd_el.tex:5846: Warning: Command not found: \textlatin ./cascmd_el.tex:5846: Warning: Command not found: \textlatin ./cascmd_el.tex:5846: Warning: Command not found: \textlatin ./cascmd_el.tex:5846: Warning: Command not found: \textlatin 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'/build/giac-ssilxB/giac-1.6.0.41+dfsg1' debian/rules override_dh_auto_test-indep make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' true make[1]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' create-stamp debian/debhelper-build-stamp dh_prep -i dh_auto_install -i make -j1 install DESTDIR=/build/giac-ssilxB/giac-1.6.0.41\+dfsg1/debian/tmp AM_UPDATE_INFO_DIR=no make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' Making install in micropython-1.12 make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' Making install in xcas make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12/xcas' Use make V=1 or set BUILD_VERBOSE in your environment to increase build verbosity. /bin/cp libmicropython.a ../.. make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12/xcas' make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' make[4]: Nothing to be done for 'install-exec-am'. make[4]: Nothing to be done for 'install-data-am'. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/micropython-1.12' Making install in src make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' make install-am make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu' /bin/bash ../libtool --mode=install /usr/bin/install -c libgiac.la '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu' libtool: install: /usr/bin/install -c .libs/libgiac.so.0.0.0 /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgiac.so.0.0.0 libtool: install: (cd /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu && { ln -s -f libgiac.so.0.0.0 libgiac.so.0 || { rm -f libgiac.so.0 && ln -s libgiac.so.0.0.0 libgiac.so.0; }; }) libtool: install: (cd /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu && { ln -s -f libgiac.so.0.0.0 libgiac.so || { rm -f libgiac.so && ln -s libgiac.so.0.0.0 libgiac.so; }; }) libtool: install: /usr/bin/install -c .libs/libgiac.lai /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgiac.la libtool: install: /usr/bin/install -c .libs/libgiac.a /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgiac.a libtool: install: chmod 644 /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgiac.a libtool: install: ranlib /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgiac.a libtool: warning: remember to run 'libtool --finish /usr/lib/x86_64-linux-gnu' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin' /bin/bash ../libtool --mode=install /usr/bin/install -c icas xcas aide hevea2mml '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin' libtool: warning: '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src/libgiac.la' has not been installed in '/usr/lib/x86_64-linux-gnu' libtool: install: /usr/bin/install -c .libs/icas /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/icas libtool: warning: '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src/libgiac.la' has not been installed in '/usr/lib/x86_64-linux-gnu' libtool: install: /usr/bin/install -c .libs/xcas /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/xcas libtool: warning: 'libgiac.la' has not been installed in '/usr/lib/x86_64-linux-gnu' libtool: install: /usr/bin/install -c .libs/aide /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/aide libtool: install: /usr/bin/install -c hevea2mml /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/hevea2mml /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin' /usr/bin/install -c pgiac '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin' make install-exec-hook make[5]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' rm -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/cas_help mv /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/aide /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/cas_help ln -sf cas_help /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/en_cas_help ln -sf cas_help /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/es_cas_help ln -sf cas_help /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/fr_cas_help ln -sf icas /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/giac ln -sf xcas /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/bin/xcasnew mkdir -p /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac cp -f config.h /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac cp -f input_lexer.h /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac cp -f input_parser.h /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac make[5]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac' /usr/bin/install -c -m 644 dispatch.h fraction.h gen.h desolve.h misc.h ti89.h mathml.h identificateur.h unary.h symbolic.h index.h modpoly.h modfactor.h permu.h monomial.h poly.h threaded.h gausspol.h sym2poly.h ezgcd.h derive.h solve.h quater.h subst.h usual.h intg.h intgab.h risch.h lin.h series.h vecteur.h sparse.h vector.h csturm.h moyal.h tex.h global.h ifactor.h alg_ext.h gauss.h '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac' /usr/bin/install -c -m 644 isom.h plot.h plot3d.h rpn.h prog.h pari.h cocoa.h giac.h first.h maple.h help.h tinymt32.h tinymt32_license.h static.h static_extern.h static_lexer.h static_lexer_.h lexer_tab_int.h static_help.h giacPCH.h giacintl.h gmp_replacements.h myostream.h lpsolve.h optimization.h signalprocessing.h graphe.h graphtheory.h nautywrapper.h markup.h kdisplay.h k_csdk.h k_defs.h '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/src' Making install in check make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/check' make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/check' make[3]: Nothing to be done for 'install-exec-am'. make[3]: Nothing to be done for 'install-data-am'. make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/check' make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/check' Making install in intl make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/intl' if { test "giac" = "gettext-runtime" || test "giac" = "gettext-tools"; } \ && test 'no' = yes; then \ /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include; \ /usr/bin/install -c -m 644 libintl.h /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/libintl.h; \ /bin/sh ../libtool --mode=install \ /usr/bin/install -c -m 644 libintl.a /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libintl.a; \ if test "@RELOCATABLE@" = yes; then \ dependencies=`sed -n -e 's,^dependency_libs=\(.*\),\1,p' < /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libintl.la | sed -e "s,^',," -e "s,'\$,,"`; \ if test -n "$dependencies"; then \ rm -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libintl.la; \ fi; \ fi; \ else \ : ; \ fi if test "giac" = "gettext-tools" \ && test 'no' = no \ && test yes != no; then \ /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu; \ /bin/sh ../libtool --mode=install \ /usr/bin/install -c -m 644 libgnuintl.a /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgnuintl.a; \ rm -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/preloadable_libintl.so; \ /usr/bin/install -c -m 644 /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgnuintl.so /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/preloadable_libintl.so; \ /bin/sh ../libtool --mode=uninstall \ rm -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/libgnuintl.a; \ else \ : ; \ fi if test 'no' = yes; then \ test yes != no || /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu; \ temp=/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/t-charset.alias; \ dest=/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/charset.alias; \ if test -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/charset.alias; then \ orig=/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/lib/x86_64-linux-gnu/charset.alias; \ sed -f ref-add.sed $orig > $temp; \ /usr/bin/install -c -m 644 $temp $dest; \ rm -f $temp; \ else \ if test yes = no; then \ orig=charset.alias; \ sed -f ref-add.sed $orig > $temp; \ /usr/bin/install -c -m 644 $temp $dest; \ rm -f $temp; \ fi; \ fi; \ /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale; \ test -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/locale.alias \ && orig=/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/locale.alias \ || orig=./locale.alias; \ temp=/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/t-locale.alias; \ dest=/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/locale.alias; \ sed -f ref-add.sed $orig > $temp; \ /usr/bin/install -c -m 644 $temp $dest; \ rm -f $temp; \ else \ : ; \ fi if test "giac" = "gettext-tools"; then \ /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl; \ /usr/bin/install -c -m 644 VERSION /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl/VERSION; \ /usr/bin/install -c -m 644 ChangeLog.inst /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl/ChangeLog; \ dists="COPYING.LIB-2.0 COPYING.LIB-2.1 Makefile.in config.charset locale.alias ref-add.sin ref-del.sin gmo.h gettextP.h hash-string.h loadinfo.h plural-exp.h eval-plural.h localcharset.h relocatable.h xsize.h printf-args.h printf-args.c printf-parse.h wprintf-parse.h printf-parse.c vasnprintf.h vasnwprintf.h vasnprintf.c os2compat.h libgnuintl.h.in bindtextdom.c dcgettext.c dgettext.c gettext.c finddomain.c loadmsgcat.c localealias.c textdomain.c l10nflist.c explodename.c dcigettext.c dcngettext.c dngettext.c ngettext.c plural.y plural-exp.c localcharset.c relocatable.c langprefs.c localename.c log.c printf.c osdep.c os2compat.c intl-compat.c"; \ for file in $dists; do \ /usr/bin/install -c -m 644 ./$file \ /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl/$file; \ done; \ chmod a+x /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl/config.charset; \ dists="plural.c"; \ for file in $dists; do \ if test -f $file; then dir=.; else dir=.; fi; \ /usr/bin/install -c -m 644 $dir/$file \ /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl/$file; \ done; \ dists="xopen-msg.sed linux-msg.sed po2tbl.sed.in cat-compat.c COPYING.LIB-2 gettext.h libgettext.h plural-eval.c libgnuintl.h"; \ for file in $dists; do \ rm -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/intl/$file; \ done; \ else \ : ; \ fi make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/intl' Making install in po make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/es/LC_MESSAGES installing es.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/es/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/fr/LC_MESSAGES installing fr.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/fr/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/el/LC_MESSAGES installing el.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/el/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/pt/LC_MESSAGES installing pt.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/pt/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/it/LC_MESSAGES installing it.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/it/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/en/LC_MESSAGES installing en.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/en/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/zh/LC_MESSAGES installing zh.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/zh/LC_MESSAGES/giac.mo mkdir -p -- /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/de/LC_MESSAGES installing de.gmo as /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/locale/de/LC_MESSAGES/giac.mo if test "giac" = "gettext-tools"; then \ /bin/sh ../config/mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/po; \ for file in Makefile.in.in remove-potcdate.sin quot.sed boldquot.sed en@quot.header en@boldquot.header insert-header.sin Rules-quot Makevars.template; do \ /usr/bin/install -c -m 644 ./$file \ /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/po/$file; \ done; \ for file in Makevars; do \ rm -f /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/gettext/po/$file; \ done; \ else \ : ; \ fi make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/po' Making install in doc make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' Making install in en make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/en' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/en' make[4]: Nothing to be done for 'install-exec-am'. /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/en /usr/bin/install -c -m 644 cascmd_en.ps casinter.ps cas.ps /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/en for dd in casinter cascmd_en tutoriel; do \ /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/en/$dd ; \ done for dd in casinter cascmd_en tutoriel; do \ /usr/bin/install -c -m 644 ./$dd/* /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/en/$dd ; \ done /usr/bin/install -c -m 644 html_mall html_mtt html_vall xcasmenu xcasex keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/en /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/en' /usr/bin/install -c -m 644 html_mall html_mtt html_vall xcasmenu xcasex keywords '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/en' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/info' /usr/bin/install -c -m 644 ./giac_us.info '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/info' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/en' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/en' Making install in es make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/es' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/es' make[4]: Nothing to be done for 'install-exec-am'. /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/es /usr/bin/install -c -m 644 html_mall html_mtt html_vall xcasmenu xcasex keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/es /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/es' /usr/bin/install -c -m 644 html_mall html_mtt html_vall xcasmenu xcasex keywords '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/es' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/info' /usr/bin/install -c -m 644 ./giac_es.info '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/info' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/es' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/es' Making install in fr make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' make install-exec-hook make[5]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' mkdir -p /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/fr/ ln -sf ../giac.js /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/fr/giac.js make[5]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/fr /usr/bin/install -c -m 644 algo.pdf /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/fr /usr/bin/install -c -m 644 algo.html /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/fr /usr/bin/install -c -m 644 keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/fr /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/fr' /usr/bin/install -c -m 644 keywords '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/fr' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/fr' Making install in el make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/el' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/el' make[4]: Nothing to be done for 'install-exec-am'. /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/el for dd in cascmd_el; do \ /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/el/$dd ; \ done for dd in cascmd_el; do \ /usr/bin/install -c -m 644 ./$dd/* /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/el/$dd ; \ done /usr/bin/install -c -m 644 html_mall html_mtt html_vall xcasmenu xcasex keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/el /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/el' /usr/bin/install -c -m 644 html_mall html_mtt html_vall xcasmenu xcasex keywords '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/el' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/info' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/el' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/el' Making install in local make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/local' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/local' make[4]: Nothing to be done for 'install-exec-am'. /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/local' /usr/bin/install -c -m 644 xcasmenu xcasex keywords html_mall html_mtt html_vall '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/local' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/local' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/local' Making install in pt make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/pt' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/pt' make install-exec-hook make[5]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/pt' ../../mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/pt mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/pt /bin/cp -f xcasmenu xcasex keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/pt make[5]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/pt' make[4]: Nothing to be done for 'install-data-am'. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/pt' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/pt' Making install in zh make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/zh' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/zh' make install-exec-hook make[5]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/zh' ../../mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/zh mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/zh /bin/cp -f aide_cas xcasmenu xcasex keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/zh make[5]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/zh' make[4]: Nothing to be done for 'install-data-am'. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/zh' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/zh' Making install in de make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/de' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/de' make install-exec-hook make[5]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/de' ../../mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/de mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/de /bin/cp -f aide_cas xcasmenu xcasex keywords /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/de make[5]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/de' make[4]: Nothing to be done for 'install-data-am'. make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/de' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc/de' make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' make install-exec-hook make[5]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' hevea -fix testfr ./testfr.tex:9: Warning: Command not found: \textheight /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'colorlinks' Exclude comment 'comment' HeVeA Warning: Label(s) may have changed. Rerun me to get cross-references right. HeVeA Warning: Index(es) may have changed. Rerun me to get them right. Run, run, again... ./testfr.tex:9: Warning: Command not found: \textheight /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'pdftex' /usr/share/hevea/hyperref.hva:65: Warning: Ignoring option: 'colorlinks' Exclude comment 'comment' Fixpoint reached in 2 step(s) echo '

Unfortunately, this file cannot yet be built in Debian. See here for an on-line version, though it may be for a newer version than what'\''s installed in this package.

' > "algoseconde.html" /bin/bash /build/giac-ssilxB/giac-1.6.0.41+dfsg1/config/install-sh -d /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/dxcas for dd in xcasfr.html xcasen.html *.css *.js logo.png giac.tex giacfr.tex test.tex testfr.tex test.html testfr.html algolycee.html graphtheory-user_manual.pdf *.sty; do \ /usr/bin/install -c -m 644 ../doc/$dd /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/ ; \ done /usr/bin/install: cannot stat '../doc/*.css': No such file or directory /usr/bin/install -c -m 644 ../doc/dxcas/* /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/dxcas /usr/bin/install -c -m 644 ../doc/index.html /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/ /usr/bin/install -c -m 644 ../doc/README /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/ ln -sf ../aide_cas /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/doc/aide_cas make[5]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac' /usr/bin/install -c -m 644 README index.html '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac' /usr/bin/install -c -m 644 aide_cas '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac' make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/doc' Making install in examples make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/examples' make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/examples' make install-exec-hook make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/examples' ../mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/ ../mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/examples mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/examples cp -Rf * /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/giac/examples make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/examples' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/geo' /usr/bin/install -c -m 644 geo/geo1 geo/geo2 geo/geo3 geo/geo4 geo/geo5 geo/geo6 geo/geo7 geo/geo8 geo/geo9 geo/napoleon geo/pointmorph geo/minimum.cxx geo/morleypuzzel geo/enveloppe3 geo/geo10 geo/geo11 geo/geo12 geo/geo13 geo/lieu1 geo/lieu2 geo/lieu3 geo/lieu4 geo/lieu5 geo/morleypara geo/morleytri6 geo/puissance.cas geo/pantalon geo/napoleon.cxx geo/demomorley2 geo/bezier geo/puissance2.cas geo/mediatrice.cxx geo/morley18 geo/morphing geo/pantalon2 geo/Ngone.cas geo/morley1.fig geo/morley2.fig geo/morley108 geo/mediane.cxx '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/geo' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/polyfact' /usr/bin/install -c -m 644 polyfact/zimmer1 polyfact/zimmer2 polyfact/zimmer3 polyfact/zimmer4 polyfact/zimmer5 polyfact/zimmer6 polyfact/zimmer7 '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/polyfact' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/geo' /usr/bin/install -c -m 644 geo/morleylem geo/orbite.cas geo/envelopl geo/envelopp geo/envelopt geo/carres.cxx geo/terre.cas geo/demomorley.cxx geo/bissectrice.cxx geo/simpson.cxx geo/conj_harmonic1.cas geo/conj_harmonic2.cas geo/conj_harmonic3.cas geo/envelop3t geo/enveloppe geo/morleydess18 geo/equimorley geo/orthocentre.cxx geo/feuerbach.cxx '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/geo' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/analyse' /usr/bin/install -c -m 644 Exemples/analyse/newton.xws Exemples/analyse/toile.xws Exemples/analyse/series_alt.xws Exemples/analyse/ode.xws Exemples/analyse/euler_ode.xws Exemples/analyse/pui.xws Exemples/analyse/gradconj.xws Exemples/analyse/grad_const.xws Exemples/analyse/mult_lagr.xws Exemples/analyse/lagrange_err.xws Exemples/analyse/signal.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/analyse' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/simulation' /usr/bin/install -c -m 644 simulation/pains simulation/deplacement '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/simulation' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/crypto' /usr/bin/install -c -m 644 Exemples/crypto/rsa.xws Exemples/crypto/codage.xws Exemples/crypto/reed_s.xws Exemples/crypto/cesar.xws Exemples/crypto/codelin.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/crypto' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/geo3d' /usr/bin/install -c -m 644 Exemples/geo3d/cone.xws Exemples/geo3d/circon3d.xws Exemples/geo3d/animcube.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/geo3d' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/arit' /usr/bin/install -c -m 644 Exemples/arit/estprem.xws Exemples/arit/bezout.xws Exemples/arit/powmod.xws Exemples/arit/diviseur.xws Exemples/arit/potence.xws Exemples/arit/crible.xws Exemples/arit/premier.xws Exemples/arit/multpoly.xws Exemples/arit/multfft.xws Exemples/arit/makegf.xws Exemples/arit/prime.xws Exemples/arit/pollard.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/arit' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/geometrie' /usr/bin/install -c -m 644 Exemples/geometrie/caustique.xws Exemples/geometrie/astroide.xws Exemples/geometrie/rouepoly.xws Exemples/geometrie/hexagone.xws Exemples/geometrie/capes.xws Exemples/geometrie/morley_puzzle.xws Exemples/geometrie/morley_demo.xws Exemples/geometrie/napoleon.xws Exemples/geometrie/simson.xws Exemples/geometrie/atelier.xws Exemples/geometrie/lieu_s05.xws Exemples/geometrie/animpav.xws Exemples/geometrie/intercourbe.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/geometrie' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/proba' /usr/bin/install -c -m 644 Exemples/proba/moivre_laplace.xws Exemples/proba/montecarlo.xws Exemples/proba/moivre2.xws Exemples/proba/fluctuations.xws Exemples/proba/fluctuation2.xws Exemples/proba/confiance.xws Exemples/proba/gaussienne.xws Exemples/proba/vectgauss.xws Exemples/proba/ehrenfest.xws Exemples/proba/kolmogorov.xws Exemples/proba/poisson.xws Exemples/proba/galton.xws Exemples/proba/rejet.xws Exemples/proba/attente.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/proba' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/groebner' /usr/bin/install -c -m 644 groebner/alea6 groebner/bayes148 groebner/cyclic3 groebner/cyclic4 groebner/cyclic5 groebner/cyclic6 groebner/cyclic7 groebner/cyclic72 groebner/cyclic7mod groebner/cyclic8 groebner/cyclic82 groebner/cyclic8mod groebner/cyclic9 groebner/cyclic92 groebner/cyclic9mod groebner/eco12 groebner/eco122 groebner/game2 groebner/jason210 groebner/katsura10 groebner/katsura11 groebner/katsura11mod groebner/katsura12 groebner/katsura12mod groebner/katsura8 groebner/katsura9 groebner/mayr42 groebner/noon9 groebner/session.tex groebner/yang1 '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/groebner' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/lewisw' /usr/bin/install -c -m 644 lewisw/lw4 lewisw/lwA lewisw/lwB lewisw/lwC lewisw/lwD lewisw/lwE lewisw/lwF lewisw/lwG lewisw/lwM lewisw/lwN lewisw/lwO lewisw/lwX lewisw/lwHL lewisw/lwM2 lewisw/lwN1 lewisw/lwPQ lewisw/fermat_gcd_mod_1var lewisw/fermat_gcd_mod_4var lewisw/fermat_gcd_1var lewisw/fermat_gcd_4var '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/lewisw' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/arit' /usr/bin/install -c -m 644 arit/numeration arit/rsa.cxx arit/horner arit/estpremier arit/codage.cas arit/nbrediviseur arit/puissancerapide arit/inpg.cas '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/arit' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/opengl' /usr/bin/install -c -m 644 Exemples/opengl/surface.xws Exemples/opengl/sphere.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/opengl' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/logo' /usr/bin/install -c -m 644 Exemples/logo/fleur.xws Exemples/logo/sapin.xws Exemples/logo/tulipe.xws Exemples/logo/neige.xws Exemples/logo/poule.xws Exemples/logo/jeu.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/logo' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/codage' /usr/bin/install -c -m 644 codage/rsa codage/group2lettres codage/julescesar codage/chiffrementaffine '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/codage' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/morley' /usr/bin/install -c -m 644 morley/equimore morley/morleypara morley/trisectfig morley/figure1 morley/figure2 morley/demomorley1 morley/fiqure1 morley/calcul18 morley/morley18 morley/morley108 morley/morleynum morley/morley morley/puzzel morley/dessinlem morley/demonfig2 '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/morley' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/prog' /usr/bin/install -c -m 644 Exemples/prog/gauss_jordan.xws Exemples/prog/conformal.xws Exemples/prog/arbre.xws Exemples/prog/exemple.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/prog' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/demo' /usr/bin/install -c -m 644 Exemples/demo/calcform.xws Exemples/demo/dft.xws Exemples/demo/graphe_proba.xws Exemples/demo/image.xws Exemples/demo/terre.jpg Exemples/demo/essai.png Exemples/demo/napoleon.xws Exemples/demo/polylogo.xws Exemples/demo/apmep.xws Exemples/demo/arit.xws Exemples/demo/milieu.xws Exemples/demo/milieux.xws Exemples/demo/oct06.xws Exemples/demo/anniversaire.xws Exemples/demo/dijkstra.xws Exemples/demo/Mandelbrot.xws Exemples/demo/giac_Mandelbrot.cpp '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/demo' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/tortue' /usr/bin/install -c -m 644 tortue/koch.cxx tortue/arbre.cxx tortue/sapin.cxx tortue/hilbert.cxx tortue/gosper.cxx tortue/dragon.cxx tortue/peano.cxx '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/tortue' /usr/bin/install -c -m 644 Makefile.am '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/.' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/recur' /usr/bin/install -c -m 644 recur/sphinx.cxx recur/plantes.cxx recur/sphynx.cxx recur/trisierpinski.cas recur/polygone.cxx recur/triangle.cxx recur/carre.cxx recur/flocon.cxx recur/session.cxx recur/peanoarc.cas recur/autres.cxx recur/permutation.cxx recur/dragon.cxx recur/peano.cxx '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/recur' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/linalg' /usr/bin/install -c -m 644 linalg/gaussjordan_noyau.cas linalg/gaussjordan_noyau1.cas '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/linalg' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/demo' /usr/bin/install -c -m 644 demo/pgcd.cpp demo/random.tab demo/algos_integrale.cxx demo/bezout.cxx demo/napoleon.cxx demo/e05.tex demo/mediane.cxx demo/bissectrice.cxx demo/pgcd.cc demo/simpson.cas demo/inpg.cas demo/orthocentre.cxx '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/demo' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/climat' /usr/bin/install -c -m 644 Exemples/climat/soleil.xws Exemples/climat/edc.xws Exemples/climat/vostok.xws Exemples/climat/global_temp.xws Exemples/climat/banquise.xws Exemples/climat/terre.jpg Exemples/climat/terre.xws Exemples/climat/energie.xws Exemples/climat/glace.xws Exemples/climat/neige.xws Exemples/climat/co2t150.xws Exemples/climat/insol.xws Exemples/climat/co2.xws Exemples/climat/geneve_juillet.xws Exemples/climat/geneve_novembre.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/climat' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/spects' /usr/bin/install -c -m 644 Exemples/spects/pagerank.xws Exemples/spects/spec_proie.xws Exemples/spects/tpi.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/spects' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/capes2006' /usr/bin/install -c -m 644 Exemples/capes2006/2107.xws Exemples/capes2006/0307.xws Exemples/capes2006/2906.xws Exemples/capes2006/1707.xws Exemples/capes2006/3006.xws Exemples/capes2006/0707.xws Exemples/capes2006/0107.xws Exemples/capes2006/0807.xws Exemples/capes2006/1407.xws Exemples/capes2006/2007.xws Exemples/capes2006/0207.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/capes2006' /bin/mkdir -p '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/poly' /usr/bin/install -c -m 644 Exemples/poly/pgcd.xws Exemples/poly/racine.xws Exemples/poly/horner.xws Exemples/poly/reed_sol.xws Exemples/poly/yun.xws Exemples/poly/berle.xws Exemples/poly/cardan.xws Exemples/poly/hensel.xws Exemples/poly/afactor.xws Exemples/poly/aspolyof.xws '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/doc/giac/Exemples/poly' make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/examples' make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1/examples' make[2]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' make[3]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' make install-exec-hook make[4]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' cp config.h /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/include/giac ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/ ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/pixmaps mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/pixmaps cp xcas.xpm /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/pixmaps/xcas.xpm ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/applications mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/applications cp xcas.desktop /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/applications/xcas.desktop ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/application-registry mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/application-registry cp xcas.applications /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/application-registry/xcas.applications ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/ mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor for SIZE in 256 128 64 32 16; do ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/${SIZE}x${SIZE} && ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/${SIZE}x${SIZE}/apps && cp icons/xcas_${SIZE}.png /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/${SIZE}x${SIZE}/apps/xcas.png; done mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/256x256 mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/256x256/apps mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/128x128 mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/128x128/apps mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/64x64 mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/64x64/apps mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/32x32 mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/32x32/apps mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/16x16 mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/16x16/apps for SIZE in 256 128 64 32 16; do ./mkinstalldirs /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/${SIZE}x${SIZE}/mimetypes && cp icons/x-xcas_${SIZE}.png /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/${SIZE}x${SIZE}/mimetypes/application-x-xcas.png; done mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/256x256/mimetypes mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/128x128/mimetypes mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/64x64/mimetypes mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/32x32/mimetypes mkdir /build/giac-ssilxB/giac-1.6.0.41+dfsg1/debian/tmp/usr/share/icons/hicolor/16x16/mimetypes make[4]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' make[3]: Nothing to be done for 'install-data-am'. make[3]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' make[2]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' make[1]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' debian/rules override_dh_install make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' for toto in /usr/share/giac/doc/en/casinter/casinter001.html /usr/share/giac/doc/en/casinter/casinter002.html /usr/share/giac/doc/en/casinter/casinter004.html /usr/share/giac/doc/en/casinter/casinter005.html /usr/share/giac/doc/en/casinter/casinter006.html /usr/share/giac/doc/en/casinter/index.html /usr/share/giac/examples/arit/codage.cas /usr/share/giac/examples/demo/e05.tex /usr/share/giac/examples/geo/geo2 /usr/include/giac/monomial.h /usr/include/giac/poly.h /usr/include/giac/prog.h; do \ iconv -f iso-8859-15 -t utf-8 debian/tmp$toto > debian/tmp$toto.fix ; \ mv debian/tmp$toto.fix debian/tmp$toto ; \ done rm -f debian/tmp/usr/lib/*/libgiac.la rm -f debian/tmp/usr/include/giac/config.h dh_install make[1]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' dh_installdocs -i dh_installchangelogs -i dh_installman -i dh_lintian -i dh_perl -i dh_link -i dh_strip_nondeterminism -i dh_compress -i debian/rules override_dh_fixperms-indep make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' dh_fixperms find debian/giac-doc/usr/share/giac/examples/ \ \( -name '*.cas' -o -name '*.xws' -o -name '*.cxx' \) -exec chmod -x '{}' \; chmod -x debian/giac-doc/usr/share/giac/examples/lewisw/*_?var make[1]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' debian/rules override_dh_missing make[1]: Entering directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' dh_missing --fail-missing make[1]: Leaving directory '/build/giac-ssilxB/giac-1.6.0.41+dfsg1' dh_installdeb -i dh_gencontrol -i dh_md5sums -i dh_builddeb -i dpkg-deb: building package 'giac-doc' in '../giac-doc_1.6.0.41+dfsg1-1_all.deb'. dpkg-genbuildinfo --build=all dpkg-genchanges --build=all >../giac_1.6.0.41+dfsg1-1_all.changes dpkg-genchanges: info: binary-only arch-indep upload (source code and arch-specific packages not included) dpkg-source --after-build . dpkg-buildpackage: info: binary-only upload (no source included) I: running special hook: sync-out /build/giac-ssilxB /tmp/giac-1.6.0.41+dfsg1-1z9ofnt3h I: cleaning package lists and apt cache... W: deleting files in /tmp: imagen-com.2232835 W: deleting files in /tmp: imagen-com.2232863 I: creating tarball... I: done I: removing tempdir /tmp/mmdebstrap.suMO1nfYOK... I: success in 9092.9885 seconds md5: Value of 'md5' differs for giac-doc_1.6.0.41+dfsg1-1_all.deb md5: Size differs for giac-doc_1.6.0.41+dfsg1-1_all.deb sha1: Value of 'sha1' differs for giac-doc_1.6.0.41+dfsg1-1_all.deb sha1: Size differs for giac-doc_1.6.0.41+dfsg1-1_all.deb sha256: Value of 'sha256' differs for giac-doc_1.6.0.41+dfsg1-1_all.deb sha256: Size differs for giac-doc_1.6.0.41+dfsg1-1_all.deb Checksums: FAIL diffoscope run passed