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diff --git a/Master/texmf-dist/doc/latex/math-e/10-06-3.ltx b/Master/texmf-dist/doc/latex/math-e/10-06-3.ltx new file mode 100644 index 00000000000..654e10a256a --- /dev/null +++ b/Master/texmf-dist/doc/latex/math-e/10-06-3.ltx @@ -0,0 +1,32 @@ +%% +%% An UIT Edition example +%% +%% Example 10-06-3 on page 209. +%% +%% Copyright (C) 2010 Herbert Voss +%% +%% It may be distributed and/or modified under the conditions +%% of the LaTeX Project Public License, either version 1.3 +%% of this license or (at your option) any later version. +%% +%% See http://www.latex-project.org/lppl.txt for details. +%% +%% +%% ==== +% Show page(s) 1 +%% +\documentclass[]{exaarticle} +\pagestyle{empty} +\setlength\textwidth{375.57637pt} +\AtBeginDocument{\setlength\parindent{0pt}} +\StartShownPreambleCommands +\usepackage{amsmath} +\let\dst\displaystyle +\StopShownPreambleCommands +\begin{document} +\[ \binom{n}{k} = \dfrac{\dst\prod_{i=1}^n i} + {\dst\prod_{i=1}^k i\dst\prod_{i=1}^{n-k} i} \] +The Euclidean algorithm: if $a>b$ are integers then $\gcd(a,b)=\gcd(a\bmod b,b)$. +If $\prod_{i=1}^n p^{e_i}_i$ is the prime factorization of $x$ then +\[ S(x)=\sum_{d\vert x}d=\prod_{i=1}^n{p^{e_i+1}_i-1\over p_i-1}. \] +\end{document} |