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diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/Timg8.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/Timg8.gif Binary files differnew file mode 100644 index 00000000000..16c30f3cfe7 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/Timg8.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/Timg9.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/Timg9.gif Binary files differnew file mode 100644 index 00000000000..c5e4abd0d6a --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/Timg9.gif diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/WARNINGS b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/WARNINGS new file mode 100644 index 00000000000..9d1d9f764ee --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/WARNINGS @@ -0,0 +1,2 @@ + +redefining command \d diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/images.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/images.pl new file mode 100644 index 00000000000..ac47e21f1fb --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/images.pl @@ -0,0 +1,68 @@ +# LaTeX2HTML 99.1 release (March 30, 1999) +# Associate images original text with physical files. + + +$key = q/{makeimage}eqnarray{phi(lambda)&=&frac{1}{2pii}int^{c+iinfty}_{c-iinfty}expleft(ar{epsilon}&=&mbox{actualslashaverageenergyloss}eqnarray{{makeimage};MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="474" HEIGHT="160" ALIGN="BOTTOM" BORDER="0" + SRC="img1.gif" + ALT="\begin{eqnarray} +\phi(\lambda) & = & \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\in... +...\epsilon , \bar{\epsilon} & = & \mbox{actual/average energy loss} +\end{eqnarray}">|; + +$key = q/a^2+b^2=c^2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img5.gif" + ALT="$ a^2+b^2=c^2$">|; + +$key = q/n>2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img7.gif" + ALT="$ n>2$">|; + +$key = q/y=B(x);MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img4.gif" + ALT="$ y=B(x)$">|; + +$key = q/a^n+b^n=c^n;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$ a^n+b^n=c^n$">|; + +$key = q/displaystylehtmlimage{thumbnail=.3}align{B_{ij}^alpha<col_mark>=left(B_{ij}^alphX_j}+frac{{d{N_k^beta}{{d{X_i}frac{{d{N_k^alpha}{{d{X_j}right)align{;MSF=1.6;AAT/; +$cached_env_img{$key} = q|<A NAME="tex2html_wrap_indisplay268" + HREF="img9.gif"><IMG + WIDTH="1" HEIGHT="6" ALIGN="MIDDLE" BORDER="0" + SRC="Timg9.gif" + ALT="$\displaystyle \begin{align}B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 + \le... +...} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}$"></A>|; + +$key = q/mathcal{N}(A)=mathcal{R}(B);MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$ \mathcal{N}(A) = \mathcal{R}(B)$">|; + +$key = q/{eqnarray}htmlimage{thumbnail=.4}Vmathbf{pi}^{sr}&=&left<sum_iM_imathbf{V}_imathsum_alphamathbf{p}_{ialpha}mathbf{f}_{ialpha}right>{eqnarray};MSF=1.6;TAGS=R;AAT/; +$cached_env_img{$key} = q|<A NAME="eqnarray52" + HREF="img8.gif"><IMG + WIDTH="140" HEIGHT="29" ALIGN="LEFT" + SRC="Timg8.gif" + ALT="\begin{eqnarray}V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf... +...m_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray}"></A>|; + +$key = q/deltamathbf{c};MSF=1.6;AAT/; +$cached_env_img{$key} = q|<IMG + WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img2.gif" + ALT="$ \delta\mathbf{c}$">|; + +1; + diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/images.tex b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/images.tex new file mode 100644 index 00000000000..80070005079 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/images.tex @@ -0,0 +1,213 @@ +\batchmode +\documentclass[a4paper,twoside]{article} + +\usepackage{html} +\usepackage{amsmath} + +% +\renewcommand{\d}{\partial}% +\providecommand{\bm}[1]{\mathbf{#1}}% +\providecommand{\Range}{\mathcal{R}}% +\providecommand{\Ker}{\mathcal{N}}% +\providecommand{\Quat}{\vec{\mathbf{Q}}} +% +\providecommand{\StAndrews}{\url{http://www-groups.dcs.st-and.ac.uk/~history}}%% +\providecommand{\Pythagorians}{\htmladdnormallink + {Pythagorians}{\url{http://www-groups.dcs.st-and.ac.uk/~history}/Mathematicians/Pythagoras.html}}% +\providecommand{\Fermat}{\htmladdnormallink + {Fermat, c.1637}{\url{http://www-groups.dcs.st-and.ac.uk/~history}/HistTopics/Fermat's_last_theorem.html}}% +\providecommand{\Wiles}{\htmladdnormallink + {Wiles, 1995}{http://www.pbs.org:80/wgbh/nova/proof}} + +\usepackage[dvips]{color} +\pagecolor[gray]{.7} + + + +\makeatletter + +\makeatletter +\count@=\the\catcode`\_ \catcode`\_=8 +\newenvironment{tex2html_wrap}{}{} \catcode`\_=\count@ +\newcommand{\renewedcommand}[1]{\expandafter\renewcommand\csname #1\endcsname}% +\makeatother +\let\mathon=$ +\let\mathoff=$ +\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi +\newbox\sizebox +\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt} +\addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt} +\addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt} +\addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt} +\addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt} +\setlength{\textwidth}{349pt} +\newwrite\lthtmlwrite +\makeatletter +\let\realnormalsize=\normalsize +\global\topskip=2sp +\def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float +\def\@float{\let\@savefreelist\@freelist\real@float} +\def\end@float{\realend@float\global\let\@freelist\@savefreelist} +\let\real@dbflt=\@dbflt \let\end@dblfloat=\end@float +\let\@largefloatcheck=\relax +\let\if@boxedmulticols=\iftrue +\def\@dbflt{\let\@savefreelist\@freelist\real@dbflt} +\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize + \parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}% + \def\phantompar{\csname par\endcsname}\normalsize}% +\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}% +\newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup\kern.05em }% +\newcommand\lthtmlhboxmathB{\adjustnormalsize\setbox\sizebox=\hbox to\hsize\bgroup\hfill }% +\newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup % + \let\ifinner=\iffalse }% +\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}% + \expandafter\box\next\egroup}% +\newcommand\lthtmlmathtype[1]{\def\lthtmlmathenv{#1}}% +\newcommand\lthtmllogmath{\lthtmltypeout{l2hSize % +:\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}% +\newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist + \lthtmlmathtype{#1}\lthtmlvboxmathA}% +\newcommand\lthtmlpictureA[1]{\let\@savefreelist\@freelist + \lthtmlmathtype{#1}\lthtmlhboxmathB}% +\newcommand\lthtmlpictureZ[1]{\hfill\lthtmlfigureZ}% +\newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox + \global\let\@freelist\@savefreelist}% +\newcommand\lthtmldisplayA[1]{\lthtmlmathtype{#1}\lthtmlvboxmathA}% +\newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}% + \lthtmldisplayA{#1}\let\@eqnnum\relax}% +\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}% +\newcommand\lthtmlinlinemathA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA + \vrule height1.5ex width0pt }% +\newcommand\lthtmlinlineA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA}% +\newcommand\lthtmlinlineZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % + \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetinline} +\newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % + \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath} +\newcommand\lthtmlindisplaymathZ{\egroup % + \centerinlinemath\lthtmllogmath\lthtmlsetmath} +\def\lthtmlsetinline{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{% + \kern.1em\copy\sizebox}\ifdim\dp\sizebox>0pt\kern.1em\else\kern.3pt\fi + \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}} +\def\lthtmlsetmath{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{% + \kern.1em\kern0.8 pt\hbox{\hglue.17em\copy\sizebox\hglue0.8 pt}}\kern.3pt% + \ifdim\dp\sizebox>0pt\kern.1em\fi \kern0.8 pt% + \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}} +\def\centerinlinemath{% + \dimen1=\ifdim\ht\sizebox<\dp\sizebox \dp\sizebox\else\ht\sizebox\fi + \advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1 + \dp\sizebox=\dimen1\ht\sizebox=\dimen1\relax} + +\def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize + \ifdim\wd\sizebox<\hsize\expandafter\hfill\fi \expandafter\vfill + \else\expandafter\vss\fi}% +\providecommand{\selectlanguage}[1]{}% +\makeatletter \tracingstats = 1 +\providecommand{\Mu}{\textrm{M}} +\providecommand{\Nu}{\textrm{N}} +\providecommand{\Chi}{\textrm{X}} +\providecommand{\Zeta}{\textrm{Z}} +\providecommand{\Alpha}{\textrm{A}} +\providecommand{\Omicron}{\textrm{O}} +\providecommand{\omicron}{\textrm{o}} +\providecommand{\Rho}{\textrm{R}} +\providecommand{\Tau}{\textrm{T}} +\providecommand{\Epsilon}{\textrm{E}} +\providecommand{\Eta}{\textrm{H}} +\providecommand{\Beta}{\textrm{B}} +\providecommand{\Iota}{\textrm{J}} +\providecommand{\Kappa}{\textrm{K}} + + +\begin{document} +\pagestyle{empty}\thispagestyle{empty}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength hsize=\the\hsize}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength vsize=\the\vsize}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength voffset=\the\voffset}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength topskip=\the\topskip}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength headheight=\the\headheight}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength headsep=\the\headsep}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength parskip=\the\parskip}\lthtmltypeout{}% +\lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}\lthtmltypeout{}% +\makeatletter +\if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}% +\else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi% +\lthtmltypeout{}% +\makeatother +\setcounter{page}{1} +\onecolumn + +% !!! IMAGES START HERE !!! + +{\newpage\clearpage +\lthtmldisplayA{makeimage29}% +\begin{eqnarray} + \phi(\lambda) & = & \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\infty} + \exp \left( u \ln u + \lambda u \right ) du \hspace{1cm}\mbox{for } c \geq 0 \\ + \lambda & = & \frac{\epsilon -\bar{\epsilon} }{\xi} + - \gamma' - \beta^2 - \ln \frac{\xi} {E_{\rm max}} \\ + \gamma & = & 0.577215\dots \mathrm{\hspace{5mm}(Euler's\ constant)} \\ + \gamma' & = & 0.422784\dots = 1 - \gamma \\ + \epsilon , \bar{\epsilon} & = & \mbox{actual/average energy loss} +\end{eqnarray} +% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline255}% +$ \delta\mathbf{c}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline257}% +$ \mathcal{N}(A) = \mathcal{R}(B)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline259}% +$ y=B(x)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline261}% +$ a^2+b^2=c^2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline263}% +$ a^n+b^n=c^n$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline265}% +$ n>2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{eqnarray52}% +\begin{eqnarray}\htmlimage{thumbnail=.4} + V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber + & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta} + - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay268}% +$\displaystyle \htmlimage{thumbnail=.3}\begin{align} B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + \frac{\d N_j^\alpha} {\d X_i} \right)\\ \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ H_{ij}^{\alpha \beta} & = \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + + +\end{document} diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/img1.gif b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/img1.gif Binary files differnew file mode 100644 index 00000000000..8e6129a71ca --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/img1.gif diff --git 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file mode 100644 index 00000000000..b8c1d4fd048 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/index.html @@ -0,0 +1,171 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> + +<!--Converted with LaTeX2HTML 99.1 release (March 30, 1999) +original version by: Nikos Drakos, CBLU, University of Leeds +* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan +* with significant contributions from: + Jens Lippmann, Marek Rouchal, Martin Wilck and others --> +<HTML> +<HEAD> +<TITLE>sampleMathThumb</TITLE> +<META NAME="description" CONTENT="sampleMathThumb"> +<META NAME="keywords" CONTENT="sampleMathThumb"> +<META NAME="resource-type" CONTENT="document"> +<META NAME="distribution" CONTENT="global"> + +<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1"> +<META NAME="Generator" CONTENT="LaTeX2HTML v99.1 release"> +<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css"> + +<LINK REL="STYLESHEET" HREF="sampleMathThumb.css"> + +<LINK REL="next" HREF="node1.html"> +<LINK REL="next" HREF="node1.html"> +</HEAD> + +<BODY > +<!--Navigation Panel--> +<A NAME="tex2html9" + HREF="node1.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/next_motif.gif"></A> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/up_motif_gr.gif"> +<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/previous_motif_gr.gif"> +<BR> +<B> Next:</B> <A NAME="tex2html10" + HREF="node1.html">About this document ...</A> +<BR> +<BR> +<!--End of Navigation Panel--> +<P> +<H2 ALIGN="center"><A NAME="SECTION00000000000000000000"> +Math examples</A> +</H2> +<DIV ALIGN="RIGHT"> +<IMG + WIDTH="474" HEIGHT="160" ALIGN="BOTTOM" BORDER="0" + SRC="img1.gif" + ALT="\begin{eqnarray} +\phi(\lambda) & = & \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\in... +...\epsilon , \bar{\epsilon} & = & \mbox{actual/average energy loss} +\end{eqnarray}"> +<BR> + +</DIV> + +<P> +Since (<A HREF="sampleMathThumb.html#eqn:stress-sr">6</A>) or (<A HREF="sampleMathThumb.html#gdef">7d</A>) should hold for arbitrary +<!-- MATH + $\delta\mathbf{c}$ + --> +<IMG + WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img2.gif" + ALT="$ \delta\mathbf{c}$">-vectors, it is clear that +<!-- MATH + $\mathcal{N}(A) = \mathcal{R}(B)$ + --> +<IMG + WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$ \mathcal{N}(A) = \mathcal{R}(B)$"> and that when <IMG + WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img4.gif" + ALT="$ y=B(x)$"> one has... +<BR> +...the <A NAME="tex2html3" + HREF="http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html">Pythagorians</A> knew infinitely many solutions in integers to +<!-- MATH + $a^2+b^2=c^2$ + --> +<IMG + WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img5.gif" + ALT="$ a^2+b^2=c^2$">. +That no non-trivial integer solutions exist for +<!-- MATH + $a^n+b^n=c^n$ + --> +<IMG + WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$ a^n+b^n=c^n$"> with integers <IMG + WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img7.gif" + ALT="$ n>2$"> has long +been suspected (<A NAME="tex2html4" + HREF="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html">Fermat, c.1637</A>). Only during the current decade has this been proved (<A NAME="tex2html5" + HREF="http://www.pbs.org:80/wgbh/nova/proof">Wiles, 1995</A>). + +<P> +<DIV ALIGN="RIGHT"> +</DIV> +<BR> +<DIV ALIGN="RIGHT"> +<P ALIGN="RIGHT"><A NAME="eqn:stress-sr"></A> +<!-- MATH + \begin{eqnarray} +\htmlimage{thumbnail=.4} V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber + & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta} + - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray} + --> +<A NAME="eqn:stress-sr"></A><A NAME="eqnarray52" + HREF="img8.gif"><IMG + WIDTH="140" HEIGHT="29" ALIGN="LEFT" + SRC="Timg8.gif" + ALT="\begin{eqnarray}V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf... +...m_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray}"></A> +<BR CLEAR="ALL"> +<P> +<BR CLEAR="ALL"></DIV><P></P> +<DIV ALIGN="RIGHT"> +</DIV> + +<P> +<DIV ALIGN="RIGHT"> +</DIV><A NAME="bgdefs"></A><A NAME="bdef"></A><A NAME="b0def"></A><A NAME="budef"></A><A NAME="gdef"></A> +<!-- MATH + \begin{subequations} +\htmlimage{thumbnail=.3}\begin{align} B_{ij}^\alpha & = +\left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ + \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + + \frac{\d N_j^\alpha} {\d X_i} \right)\\ + \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ + H_{ij}^{\alpha \beta} & = + \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align} +\end{subequations} + --> +<TABLE CELLPADDING="0" WIDTH="100%" ALIGN="CENTER"> +<TR VALIGN="MIDDLE"> +<TD NOWRAP ALIGN="CENTER"><A NAME="tex2html_wrap_indisplay268" + HREF="img9.gif"><IMG + WIDTH="1" HEIGHT="6" ALIGN="MIDDLE" BORDER="0" + SRC="Timg9.gif" + ALT="$\displaystyle \begin{align}B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 + \le... +...} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}$"></A></TD></TR> +</TABLE> +<DIV ALIGN="RIGHT"> +</DIV> +<BR><HR> +<!--Table of Child-Links--> +<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> + +<UL> +<LI><A NAME="tex2html11" + HREF="node1.html">About this document ...</A> +</UL> +<!--End of Table of Child-Links--> +<BR><HR> +<ADDRESS> +<I>Michel Goossens</I> +<BR><I>1999-03-30</I> +</ADDRESS> +</BODY> +</HTML> diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/internals.pl b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/internals.pl new file mode 100644 index 00000000000..736c0485786 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/internals.pl @@ -0,0 +1,30 @@ +# LaTeX2HTML 99.1 release (March 30, 1999) +# Associate internals original text with physical files. + + +$key = q/bdef/; 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+ +$key = q/eqn:stress-sr/; +$external_latex_labels{$key} = q|6|; +$noresave{$key} = "$nosave"; + +$key = q/budef/; +$external_latex_labels{$key} = q|7c|; +$noresave{$key} = "$nosave"; + +$key = q/gdef/; +$external_latex_labels{$key} = q|7d|; +$noresave{$key} = "$nosave"; + +1; + diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/node1.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/node1.html new file mode 100644 index 00000000000..fa3daa64290 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/node1.html @@ -0,0 +1,73 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> + +<!--Converted with LaTeX2HTML 99.1 release (March 30, 1999) +original version by: Nikos Drakos, CBLU, University of Leeds +* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan +* with significant contributions from: + Jens Lippmann, Marek Rouchal, Martin Wilck and others --> +<HTML> +<HEAD> +<TITLE>About this document ...</TITLE> +<META NAME="description" CONTENT="About this document ..."> +<META NAME="keywords" CONTENT="sampleMathThumb"> +<META NAME="resource-type" CONTENT="document"> +<META NAME="distribution" CONTENT="global"> + +<META HTTP-EQUIV="Content-Type" CONTENT="text/html; 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} +.MATH I { font-family: "Century Schoolbook", serif; font-shape: italic } +.BOLDMATH { font-family: "Century Schoolbook", serif; font-weight: bold } + +/* implement both fixed-size and relative sizes */ +SMALL.XTINY { font-size : xx-small } +SMALL.TINY { font-size : x-small } +SMALL.SCRIPTSIZE { font-size : smaller } +SMALL.FOOTNOTESIZE { font-size : small } +SMALL.SMALL { } +BIG.LARGE { } +BIG.XLARGE { font-size : large } +BIG.XXLARGE { font-size : x-large } +BIG.HUGE { font-size : larger } +BIG.XHUGE { font-size : xx-large } + +/* heading styles */ +H1 { } +H2 { } +H3 { } +H4 { } +H5 { } + +/* mathematics styles */ +DIV.displaymath { } /* math displays */ +TD.eqno { } /* equation-number cells */ + + +/* document-specific styles come next */ diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/sampleMathThumb.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/sampleMathThumb.html new file mode 100644 index 00000000000..b8c1d4fd048 --- /dev/null +++ b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/sampleMathThumb.html @@ -0,0 +1,171 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> + +<!--Converted with LaTeX2HTML 99.1 release (March 30, 1999) +original version by: Nikos Drakos, CBLU, University of Leeds +* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan +* with significant contributions from: + Jens Lippmann, Marek Rouchal, Martin Wilck and others --> +<HTML> +<HEAD> +<TITLE>sampleMathThumb</TITLE> +<META NAME="description" CONTENT="sampleMathThumb"> +<META NAME="keywords" CONTENT="sampleMathThumb"> +<META NAME="resource-type" CONTENT="document"> +<META NAME="distribution" CONTENT="global"> + +<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1"> +<META NAME="Generator" CONTENT="LaTeX2HTML v99.1 release"> +<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css"> + +<LINK REL="STYLESHEET" HREF="sampleMathThumb.css"> + +<LINK REL="next" HREF="node1.html"> +<LINK REL="next" HREF="node1.html"> +</HEAD> + +<BODY > +<!--Navigation Panel--> +<A NAME="tex2html9" + HREF="node1.html"> +<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/next_motif.gif"></A> +<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/up_motif_gr.gif"> +<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" + SRC="/afs/cern.ch/project/tex/new/latex2html/icons.gif/previous_motif_gr.gif"> +<BR> +<B> Next:</B> <A NAME="tex2html10" + HREF="node1.html">About this document ...</A> +<BR> +<BR> +<!--End of Navigation Panel--> +<P> +<H2 ALIGN="center"><A NAME="SECTION00000000000000000000"> +Math examples</A> +</H2> +<DIV ALIGN="RIGHT"> +<IMG + WIDTH="474" HEIGHT="160" ALIGN="BOTTOM" BORDER="0" + SRC="img1.gif" + ALT="\begin{eqnarray} +\phi(\lambda) & = & \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\in... +...\epsilon , \bar{\epsilon} & = & \mbox{actual/average energy loss} +\end{eqnarray}"> +<BR> + +</DIV> + +<P> +Since (<A HREF="sampleMathThumb.html#eqn:stress-sr">6</A>) or (<A HREF="sampleMathThumb.html#gdef">7d</A>) should hold for arbitrary +<!-- MATH + $\delta\mathbf{c}$ + --> +<IMG + WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img2.gif" + ALT="$ \delta\mathbf{c}$">-vectors, it is clear that +<!-- MATH + $\mathcal{N}(A) = \mathcal{R}(B)$ + --> +<IMG + WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$ \mathcal{N}(A) = \mathcal{R}(B)$"> and that when <IMG + WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img4.gif" + ALT="$ y=B(x)$"> one has... +<BR> +...the <A NAME="tex2html3" + HREF="http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pythagoras.html">Pythagorians</A> knew infinitely many solutions in integers to +<!-- MATH + $a^2+b^2=c^2$ + --> +<IMG + WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img5.gif" + ALT="$ a^2+b^2=c^2$">. +That no non-trivial integer solutions exist for +<!-- MATH + $a^n+b^n=c^n$ + --> +<IMG + WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$ a^n+b^n=c^n$"> with integers <IMG + WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0" + SRC="img7.gif" + ALT="$ n>2$"> has long +been suspected (<A NAME="tex2html4" + HREF="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html">Fermat, c.1637</A>). Only during the current decade has this been proved (<A NAME="tex2html5" + HREF="http://www.pbs.org:80/wgbh/nova/proof">Wiles, 1995</A>). + +<P> +<DIV ALIGN="RIGHT"> +</DIV> +<BR> +<DIV ALIGN="RIGHT"> +<P ALIGN="RIGHT"><A NAME="eqn:stress-sr"></A> +<!-- MATH + \begin{eqnarray} +\htmlimage{thumbnail=.4} V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i ++ \sum_i \sum_{j>i} \mathbf{R}_{ij} \mathbf{F}_{ij}\right> \\\nonumber + & = & \left< \sum_i M_i \mathbf{V}_i \mathbf{V}_i + + \sum_{i}\sum_{j>i}\sum_\alpha\sum_\beta \mathbf{r}_{i\alpha j\beta}\mathbf{f}_{i\alpha j\beta} + - \sum_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray} + --> +<A NAME="eqn:stress-sr"></A><A NAME="eqnarray52" + HREF="img8.gif"><IMG + WIDTH="140" HEIGHT="29" ALIGN="LEFT" + SRC="Timg8.gif" + ALT="\begin{eqnarray}V \mathbf{\pi}^{sr} & = & \left< \sum_i M_i \mathbf{V}_i \mathbf... +...m_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right> +\end{eqnarray}"></A> +<BR CLEAR="ALL"> +<P> +<BR CLEAR="ALL"></DIV><P></P> +<DIV ALIGN="RIGHT"> +</DIV> + +<P> +<DIV ALIGN="RIGHT"> +</DIV><A NAME="bgdefs"></A><A NAME="bdef"></A><A NAME="b0def"></A><A NAME="budef"></A><A NAME="gdef"></A> +<!-- MATH + \begin{subequations} +\htmlimage{thumbnail=.3}\begin{align} B_{ij}^\alpha & = +\left(B_{ij}^\alpha\right)_0 + \left(B_{ij}^\alpha\right)_a\\ + \left(B_{ij}^\alpha\right)_0 & = \frac{1}{2}\left(\frac{\d N_i^\alpha}{\d X_j} + + \frac{\d N_j^\alpha} {\d X_i} \right)\\ + \left(B_{ij}^\alpha\right)_a & = H_{ij}^{\alpha \beta} a^\beta\\ + H_{ij}^{\alpha \beta} & = + \frac{1}{2}\left( \frac{\d N_k^\alpha}{\d X_i} \frac{\d N_k^\beta}{\d X_j} + + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align} +\end{subequations} + --> +<TABLE CELLPADDING="0" WIDTH="100%" ALIGN="CENTER"> +<TR VALIGN="MIDDLE"> +<TD NOWRAP ALIGN="CENTER"><A NAME="tex2html_wrap_indisplay268" + HREF="img9.gif"><IMG + WIDTH="1" HEIGHT="6" ALIGN="MIDDLE" BORDER="0" + SRC="Timg9.gif" + ALT="$\displaystyle \begin{align}B_{ij}^\alpha & = \left(B_{ij}^\alpha\right)_0 + \le... +...} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}$"></A></TD></TR> +</TABLE> +<DIV ALIGN="RIGHT"> +</DIV> +<BR><HR> +<!--Table of Child-Links--> +<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> + +<UL> +<LI><A NAME="tex2html11" + HREF="node1.html">About this document ...</A> +</UL> +<!--End of Table of Child-Links--> +<BR><HR> +<ADDRESS> +<I>Michel Goossens</I> +<BR><I>1999-03-30</I> +</ADDRESS> +</BODY> +</HTML> |
