diff options
Diffstat (limited to 'Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/index.html')
-rw-r--r-- | Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/index.html | 171 |
1 files changed, 0 insertions, 171 deletions
diff --git a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/index.html b/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/index.html deleted file mode 100644 index b8c1d4fd048..00000000000 --- a/Master/texmf-dist/doc/latex/latex-web-companion/ch3bis/sampleMathThumb/index.html +++ /dev/null @@ -1,171 +0,0 @@ -<!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> |