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-rwxr-xr-xBuild/tools/tpm-ctan-check2
-rw-r--r--Master/texmf-dist/doc/latex/binomexp/README10
-rw-r--r--Master/texmf-dist/doc/latex/binomexp/binomexp.pdfbin0 -> 81921 bytes
-rw-r--r--Master/texmf-dist/source/latex/binomexp/binomexp.dtx399
-rw-r--r--Master/texmf-dist/source/latex/binomexp/binomexp.ins48
-rw-r--r--Master/texmf-dist/tex/latex/binomexp/binomexp.sty156
-rw-r--r--Master/texmf-dist/tpm/binomexp.tpm30
-rw-r--r--Master/texmf/lists/binomexp8
8 files changed, 652 insertions, 1 deletions
diff --git a/Build/tools/tpm-ctan-check b/Build/tools/tpm-ctan-check
index 5a23017b020..9d7d885652a 100755
--- a/Build/tools/tpm-ctan-check
+++ b/Build/tools/tpm-ctan-check
@@ -16,7 +16,7 @@ my @WorkingTPM = qw(
aurical authorindex auto-pst-pdf
babelbib beamer beamer-tut-pt begriff bera betababel
bezos bghyphen bibhtml bibleref bibtopic bibunits bigfoot
- bitfield blacklettert1 blindtext booklet bophook
+ binomexp bitfield blacklettert1 blindtext booklet bophook
boxhandler breakurl bussproofs bytefield
caption carlisle cbcoptic ccaption cdpbundl cellspace
changebar chappg chem-journal chemcompounds cherokee circ
diff --git a/Master/texmf-dist/doc/latex/binomexp/README b/Master/texmf-dist/doc/latex/binomexp/README
new file mode 100644
index 00000000000..7113d672773
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/binomexp/README
@@ -0,0 +1,10 @@
+Hi,
+You will want to create a directory called binomexp attexmf/tex/latex so to keep the binomexp.sty file, which is what Latex reads when it uses the \usepackage{binomexp} command in the premable of your work.
+Put the binomexp.sty file inside of the /texmf/tex/latex/binomexp directory.
+Now, if you are using Miktex go to start, all programs, miktex, miktex options. Now click on the roots tab. Now select c:\texmf using the mouse. Now click on Refresh FNDB. You've installed it!!
+
+You might also want to create another directory binomexp at texmf/doc so to keep the documentation at.
+
+LICENSE
+Do what ever you want with this program. Eat it, spend it, sell it, dwell in it. Use it for hamster bedding.
+Subject to the Latex Project Public License.
diff --git a/Master/texmf-dist/doc/latex/binomexp/binomexp.pdf b/Master/texmf-dist/doc/latex/binomexp/binomexp.pdf
new file mode 100644
index 00000000000..b8d112f0eba
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/binomexp/binomexp.pdf
Binary files differ
diff --git a/Master/texmf-dist/source/latex/binomexp/binomexp.dtx b/Master/texmf-dist/source/latex/binomexp/binomexp.dtx
new file mode 100644
index 00000000000..78c37d37f9f
--- /dev/null
+++ b/Master/texmf-dist/source/latex/binomexp/binomexp.dtx
@@ -0,0 +1,399 @@
+% \iffalse meta-comment
+%
+% Copyright (C) 2007 by David Roderick % -----------------------------------
+%
+% This file may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.2
+% of this license or (at your option) any later version.
+% The latest version of this license is in:
+%
+% http://www.latex-project.org/lppl.txt
+%
+% and version 1.2 or later is part of all distributions of LaTeX
+% version 1999/12/01 or later.
+%
+% \fi
+%
+% \iffalse
+%<package>\NeedsTeXFormat{LaTeX2e}[2005/12/01]
+%<package>\ProvidesPackage{binomexp}
+%<package> [2007/01/07 v1.0 My first attempt]
+%
+%<*driver>
+\documentclass{ltxdoc}
+\usepackage{binomexp}
+\EnableCrossrefs
+\CodelineIndex
+\RecordChanges
+\begin{document}
+\DocInput{binomexp.dtx}
+\end{document}
+%</driver>
+% \fi
+%
+% \CheckSum{310}
+%% \CharacterTable
+%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%% Digits \0\1\2\3\4\5\6\7\8\9
+%% Exclamation \! Double quote \" Hash (number) \#
+%% Dollar \$ Percent \% Ampersand \&
+%% Acute accent \' Left paren \( Right paren \)
+%% Asterisk \* Plus \+ Comma \,
+%% Minus \- Point \. Solidus \/
+%% Colon \: Semicolon \; Less than \<
+%% Equals \= Greater than \> Question mark \?
+%% Commercial at \@ Left bracket \[ Backslash \\
+%% Right bracket \] Circumflex \^ Underscore \_
+%% Grave accent \` Left brace \{ Vertical bar \|
+%% Right brace \} Tilde \~}
+%%
+% \changes{v1.0}{2007/01/07}{Initial version}
+%
+% \GetFileInfo{binomexp.sty}
+%
+% \DoNotIndex{\the,\#}
+%
+% \title{The \textsf{binomexp} package\thanks{This document
+% corresponds to \textsf{binomexp}~\fileversion, dated \filedate.}}
+% \author{David Roderick \\ \texttt{angel\_ov\_north at tiscali dot co dot uk}}
+%
+% \maketitle
+%
+% \begin{abstract}
+% Calculates and prints successive lines of Pascal's triangle..
+% \makeatletter
+% \binomexp@putpascal{4}{5}{f}{s}{f}{s} \par
+% and also will typset the following proof
+% \binomexp@proof{n}{r}
+% \end{abstract}
+%
+% \section{Introduction}
+%
+% A very simple package with simple usage. Putting `binomexp' (which
+% is also typed exactly the same way than \marg{binomexp} inside
+% of the argumentative input of the the |\usepackage| commands
+% enables the user to do two extra things.
+% \begin{itemize} \item
+% print any successive rows of Pascal's triangle which will fit on
+% the page up until the power as 31, at which point \LaTeX{} runs
+% out of brain power. \\
+% \item Use a piece of code which Morten H\o gholm wrote which allows
+% the cells inside of an array or a tabular to be repeated in a
+% similar way than those may be repeated inside of the initial
+% description of said array or tabular.
+% \end{itemize}
+%
+% \section{Usage}
+% Binomexp ought to load ifthen and calc by itself. If you have already loaded
+% these packages using |\usepackage{calc,ifthen}| unload these therefore.
+% You must then use the command as |\makeatletter| so to get the command names with the symbol as @ inside of those to function.
+%
+% \DescribeMacro{\binomexp@putpascal}
+% |\binomexp@putpascal| \marg{number as lower power}
+% \marg{number as higher power} \marg{symbol as first variable}
+% \marg{symbol as second variable} \marg{symbol again as first variable}
+% \marg{symbol again as second variable}
+% \par|\binomexp@putpascal{7}{9}{f}{x}{f}{x}| will typset the rows as 7, 8, and 9 of
+% Pascal's triangle. The first column will have $(f+x)^{power}$.
+% The reason why you have to input the symbol again is because the
+% user might like to use a |\cdot| or whatever in the other columns
+% except the first column.
+% And that's it really.
+% \DescribeMacro{\binomexp@proof}
+% |\binomexp@proof| \marg{number as row variable}
+% \marg{number as column variable}
+% will typeset the mathematical proof of Pascal's triangle, which is based upon % the observation that the co-efficient is equal with the number of possible
+% combinations of the column variable out of the row variable.
+% \StopEventually{\PrintIndex}
+%
+% \section{How I wrote it.}
+%
+% \begin{macrocode}
+\RequirePackage{calc,ifthen}
+% \end{macrocode}
+% Morten H\o gholm wrote the following code.
+% \begin{macrocode}
+\newcommand\binomexp@replicate[2]{%
+ \ifnum#1>\z@ \expandafter\@firstofone
+ \else
+ \expandafter\@gobble
+ \fi
+ {#2\expandafter\binomexp@replicate\expandafter{\number\numexpr#1-1\relax}{#2}}%
+}
+% \end{macrocode}
+% Morten's code allows the following.
+% \begin{verbatim}
+% \begin{document}
+% \makeatletter
+% \begin{tabular}{|*{6}{|c|}|}
+% something1 \binomexp@replicate{4}{& something2}Blah&stuff\\
+% something1 \binomexp@replicate{4}{& something2}Blah&stuff\\
+% Third row with line atop from second to fifth column:
+% \cline{2-5}something1 \binomexp@replicate{4}{& something2}Blah&stuff\\
+% \end{tabular}
+% \end{document}
+% \end{verbatim}
+% You can invoke Morten's code either by loading the |\usepackage{binomexp}|
+% within the preamble, and then by putting |\makeatletter|, or by including
+% the following code somewhere (perhaps a preamble).
+% \begin{verbatim}
+% \makeatletter
+% \newcommand\binomexp@replicate[2]{%
+% \ifnum#1>\z@ \expandafter\@firstofone
+% \else
+% \expandafter\@gobble
+% \fi
+% {#2\expandafter\binomexp@replicate\expandafter{\number\numexpr#1-1\relax}{#2}}%
+% }
+% \makeatother
+% \end{verbatim}
+% \begin{macro}{\binomexp@call}
+% the |\newcommand| as |\binomexp@call| makes things nice and pretty within a cell
+% \begin{macrocode}
+\newcommand{\binomexp@call}[1]{\rule[-0.125cm]{0mm}{0.5cm}\mbox{$#1$}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@up}
+% the |\newcommand| as |\binomexp@up| is by the power of the series which ascends
+% \begin{macrocode}
+\newcounter{binomexp@up}
+\newcommand{\binomexp@up}{\number\value{binomexp@up}
+\addtocounter{binomexp@up}{1}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@down}
+% the |\newcommand| as |\binomexp@down| is by the power of the series which descends
+% \begin{macrocode}
+\newcounter{binomexp@down}
+\newcommand{\binomexp@down}{\number\value{binomexp@down}
+\addtocounter{binomexp@down}{-1}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@columns}
+% an array of so many columns
+% \begin{macrocode}
+\newcounter{binomexp@columns}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\binomexp@power}
+% $(f+s)^{power}$
+% \begin{macrocode}
+\newcounter{binomexp@power}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@pascalstart}
+% \begin{macro}{\binomexp@pascalstop}
+% \begin{macro}{\binomexp@emptytimes}
+% the next 3 counters are used within the |\binomexp@putpascal| command
+% \begin{macrocode}
+\newcounter{binomexp@pascalstart}
+\newcounter{binomexp@pascalstop}
+\newcounter{binomexp@emptytimes}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@variable1}
+% \begin{macro}{\binomexp@variable2}
+% \begin{macro}{\binomexp@answervar}
+% the following 3 counters are used within the process of calculation as
+% |\binomexp@printpascal|
+% \begin{macrocode}
+\newcounter{binomexp@variable1}
+\newcounter{binomexp@variable2}
+\newcounter{binomexp@answervar}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@sub}
+% \begin{macrocode}
+\newcounter{binomexp@sub}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@printpascal}
+% to calculate the coefficients of the Pascal's triangle
+% \begin{macrocode}
+\protect\newcommand*{\binomexp@printpascal}{
+\addtocounter{binomexp@power}{1}
+\expandafter\edef\csname
+binomexp@morten\roman{binomexp@power}exporti\endcsname{1}
+\setcounter{binomexp@sub}{2}
+\setcounter{binomexp@variable1}{\numexpr\number\value{binomexp@power}+1\relax}
+\whiledo{\number\numexpr\number\value{binomexp@power}+1\relax>
+\value{binomexp@sub}}{
+\setcounter{binomexp@variable1}{\numexpr\number\value{binomexp@sub}-1\relax}
+\setcounter{binomexp@variable2}{\value{binomexp@sub}}
+\setcounter{binomexp@answervar}{\number\numexpr\csname
+binomexp@x\roman{binomexp@variable1}\endcsname\relax+\number\numexpr\csname
+binomexp@x\roman{binomexp@variable2}\endcsname\relax}
+\expandafter\edef\csname binomexp@y\roman{binomexp@sub}\endcsname
+{\number\value{binomexp@answervar}}\relax
+\addtocounter{binomexp@sub}{1}
+}
+% \end{macrocode}
+% TRANSFER PART
+% set counter as binomexp@sub to 1
+% \begin{macrocode}
+\setcounter{binomexp@sub}{2}
+% \end{macrocode}
+% create a loop which shall get the binomexp@y values and put those into the
+% appropriate binomexp@x values.
+% Also export the y values by this same corresponding power into a length called
+% binomexp@morten|\roman{power}|export|\roman{binomexp@sub}|
+% \begin{macrocode}
+\whiledo{\numexpr\number\value{binomexp@power}+1\relax>\value{binomexp@sub}}{
+\setcounter{binomexp@answervar}{\number\numexpr\csname
+binomexp@y\roman{binomexp@sub}\endcsname\relax}
+\expandafter\edef\csname binomexp@x\roman{binomexp@sub}\endcsname
+{\number\value{binomexp@answervar}}
+% \end{macrocode}
+% Here is how I exported the values to the table.
+% \begin{macrocode}
+\expandafter\edef\csname
+binomexp@morten\roman{binomexp@power}export\roman{binomexp@sub}\endcsname
+{\number\value{binomexp@answervar}}
+% \end{macrocode}
+% \begin{macrocode}
+\addtocounter{binomexp@sub}{1}
+}
+\setcounter{binomexp@variable1}
+{\numexpr\number\value{binomexp@power}+1\relax}
+\expandafter\edef\csname
+binomexp@x\roman{binomexp@variable1}\endcsname{1}
+\expandafter\edef\csname
+binomexp@morten\roman{binomexp@power}export\roman{binomexp@variable1}\endcsname{1}
+% \end{macrocode}
+% To see what is happening add the following lines at this place.
+% \begin{verbatim}
+% power is \number\value{binomexp@power}\par
+% \setcounter{binomexp@variable2}{1}
+% \whiledo{\value{binomexp@variable2}<
+% \numexpr\number\value{binomexp@power}+2\relax}{
+% binomexp@morten\roman{binomexp@power}export\roman{binomexp@variable2} is
+% \csname binomexp@morten\roman{binomexp@power}export\roman{binomexp@%
+% variable2}\endcsname\relax\par\addtocounter{binomexp@variable2}{1}}
+% \end{verbatim}
+% \begin{macrocode}
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\binomexp@putpascal}
+% set binomexp@xi as 1 \par
+% binomexp@xi never alters
+% \begin{macrocode}
+\newcommand*\binomexp@putpascal[6]{\par
+\expandafter\edef\csname binomexp@xi\endcsname{1}
+% \end{macrocode}
+% set an eventuality for binomexp@xi by the power as zero
+% \begin{macrocode}
+\expandafter\edef\csname binomexp@mortenexporti\endcsname{1}
+% \end{macrocode}
+% we'll need to start power as zero by the way |\binomexp@printpascal|
+% is transfigured.
+% \begin{macrocode}
+\setcounter{binomexp@power}{0}
+% \end{macrocode}
+% wrap the chipolatas in stringy bacon.
+% \begin{macrocode}
+\setcounter{binomexp@pascalstart}{#1}
+\setcounter{binomexp@pascalstop}{#2+1}
+% \end{macrocode}
+% now calculate all the co-efficients.
+% \begin{macrocode}
+\setcounter{binomexp@emptytimes}{\value{binomexp@pascalstop}}
+\whiledo{\value{binomexp@emptytimes}>1}{
+\binomexp@printpascal \addtocounter{binomexp@emptytimes}{-1}
+}
+% \end{macrocode}
+% work out the number of columns
+% \begin{macrocode}
+\setcounter{binomexp@columns}
+{\numexpr\number\value{binomexp@pascalstop}+2\relax}
+% \end{macrocode}
+% now the table
+% \begin{macrocode}
+\begin{math} \begin{array}{@{}|c|*{\value{binomexp@columns}}{|c}|@{}}
+% \end{macrocode}
+% repeat the number of rows so many times
+% \begin{macrocode}
+\whiledo{\value{binomexp@pascalstart}<
+\numexpr\number\value{binomexp@pascalstop}-1\relax}{
+% \end{macrocode}
+% prime the binomexp@up gun and cock.
+% \begin{macrocode}
+\setcounter{binomexp@up}{0}
+% \end{macrocode}
+% prime the binomexp@down gun and cock.
+% \begin{macrocode}
+\setcounter{binomexp@down}{\value{binomexp@pascalstart}}
+\binomexp@call{(#3+#4)^{\number\numexpr\number\value{binomexp@pascalstart}\relax}}
+\binomexp@replicate{\numexpr\number\value{binomexp@pascalstart}+1\relax}
+{&\binomexp@call{\csname
+binomexp@morten\romannumeral\numexpr\value{binomexp@pascalstart}\relax
+export\romannumeral\numexpr\value{binomexp@up}+1\relax\endcsname
+#5^{\binomexp@down} #6^{\binomexp@up}}}\\
+\addtocounter{binomexp@pascalstart}{1}
+}
+% \end{macrocode}
+% add one more row for luck
+% \begin{macrocode}
+\setcounter{binomexp@up}{0}
+\setcounter{binomexp@down}{\value{binomexp@pascalstart}}
+\binomexp@call{(#3+#4)^{\number\numexpr\number\value{binomexp@pascalstart}\relax}}
+\binomexp@replicate{\numexpr\number\value{binomexp@pascalstart}+1\relax}
+{&\binomexp@call{\csname
+binomexp@morten\romannumeral\numexpr\value{binomexp@pascalstart}\relax
+export\romannumeral\numexpr\value{binomexp@up}+1\relax\endcsname
+#5^{\binomexp@down} #6^{\binomexp@up}}}
+ \end{array} \end{math}
+}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\binomexp@proof}
+% This command prints a mathematical proof of the
+% Pascals's triangle based upon obervation.
+% \begin{macrocode}
+\newcommand{\binomexp@proof}[2]{
+\[ 7!=7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1 \hspace*{5em}
+{#1 \choose #2} = \frac{#1!}{(#1-#2)!\cdot #2!}=
+\frac{#1!}{(#1-#2)!\cdot(#1-(#1-#2))!}={#1 \choose #1-#2}
+\]
+\begin{eqnarray*} {#1 - 1 \choose #2 - 1} + {#1 - 1 \choose #2}
+&=& \frac{(#1 - 1)!}{(#2 - 1)!\cdot[(#1 - 1) - (#2 - 1)]!} +
+\frac{(#1 - 1)!}{#2!\cdot[(#1 - 1) - #2)]!}\\
+&=& (#1 - 1)!\cdot\left(\frac{1}{(#2 - 1)!\cdot(#1 - #2)!} +
+\frac{1}{#2!\cdot[(#1 - #2) - 1)]!}\right) \\
+&=& (#1 - 1)! \cdot\frac{#2 + (#1 - #2)}{#2! (#1 - #2)!} \\
+&=& \frac{#1!}{#2!(#1 - #2)!} = {#1 \choose #2}
+ \end{eqnarray*}
+\[ \frac{#2}{#2!\cdot(#1-#2)!} = \frac{1}{(#2-1)!\cdot(#1-#2)!}
+\hspace*{5em} \mbox{because} \hspace*{5em} \\
+ \frac{6}{6!\cdot(#1-#2)!} = \frac{1}{5!\cdot(#1-#2)!} \]
+\begin{eqnarray*}
+(#2 + 1)\cdot {#1 + 1 \choose #2 + 1} &=& (#2 + 1)\cdot
+\frac{(#1 + 1)!}{((#2 + 1)!\cdot ((#1 + 1) - (#2 + 1))!}\\
+&=& (#2 + 1)\cdot \frac{(#1 + 1)!}{(#2 + 1)!\cdot (#1 - #2)!}\\
+&=& (#1 + 1)\cdot \frac{#1!}{#2!\cdot (#1 - #2)!} = (#1 + 1)\cdot
+{#1 \choose #2}\\
+\end{eqnarray*}
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \Finale
+% \PrintIndex
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/source/latex/binomexp/binomexp.ins b/Master/texmf-dist/source/latex/binomexp/binomexp.ins
new file mode 100644
index 00000000000..3775fbbb603
--- /dev/null
+++ b/Master/texmf-dist/source/latex/binomexp/binomexp.ins
@@ -0,0 +1,48 @@
+%%
+%% Copyright (C) 2006 by David Roderick %%
+%% This file may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either
+%% version 1.2 of this license or (at your option) any later
+%% version. The latest version of this license is in:
+%%
+%% http://www.latex-project.org/lppl.txt
+%%
+%% and version 1.2 or later is part of all distributions of
+%% LaTeX version 1999/12/01 or later.
+%%
+
+\input docstrip.tex
+
+
+\preamble
+This is a generated file.
+Copyright (C) 2006 by David Roderick
+This file may be distributed and/or modified under the
+conditions of the LaTeX Project Public License, either
+version 1.2 of this license or (at your option) any later
+version. The latest version of this license is in:
+http://www.latex-project.org/lppl.txt
+and version 1.2 or later is part of all distributions of
+LaTeX version 1999/12/01 or later.
+\endpreamble
+
+\usedir{tex/latex/binomexp}
+\generate{\file{binomexp.sty}{\from{binomexp.dtx}{package}}}
+
+\obeyspaces
+\Msg{****************************************************}
+\Msg{* *}
+\Msg{* To finish the installation you have to move the *}
+\Msg{* following file into a directory searched by TeX: *}
+\Msg{* which might be texmf/tex/latex/binomexp*}
+\Msg{* *}
+\Msg{* binomexp.sty *}
+\Msg{* *}
+\Msg{* To produce the documentation run the file *}
+\Msg{* binomexp.dtx through LaTeX. *}
+\Msg{* *}
+\Msg{* Disinterested TeXing! *}
+\Msg{* *}
+\Msg{****************************************************}
+
+\endbatchfile
diff --git a/Master/texmf-dist/tex/latex/binomexp/binomexp.sty b/Master/texmf-dist/tex/latex/binomexp/binomexp.sty
new file mode 100644
index 00000000000..1e17b5747ab
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/binomexp/binomexp.sty
@@ -0,0 +1,156 @@
+%%
+%% This is file `binomexp.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% binomexp.dtx (with options: `package')
+%% This is a generated file.
+%% Copyright (C) 2006 by David Roderick
+%% This file may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either
+%% version 1.2 of this license or (at your option) any later
+%% version. The latest version of this license is in:
+%% http://www.latex-project.org/lppl.txt
+%% and version 1.2 or later is part of all distributions of
+%% LaTeX version 1999/12/01 or later.
+\NeedsTeXFormat{LaTeX2e}[2005/12/01]
+\ProvidesPackage{binomexp}
+ [2007/01/07 v1.0 My first attempt]
+%% \CharacterTable
+%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%% Digits \0\1\2\3\4\5\6\7\8\9
+%% Exclamation \! Double quote \" Hash (number) \#
+%% Dollar \$ Percent \% Ampersand \&
+%% Acute accent \' Left paren \( Right paren \)
+%% Asterisk \* Plus \+ Comma \,
+%% Minus \- Point \. Solidus \/
+%% Colon \: Semicolon \; Less than \<
+%% Equals \= Greater than \> Question mark \?
+%% Commercial at \@ Left bracket \[ Backslash \\
+%% Right bracket \] Circumflex \^ Underscore \_
+%% Grave accent \` Left brace \{ Vertical bar \|
+%% Right brace \} Tilde \~}
+%%
+\RequirePackage{calc,ifthen}
+\newcommand\binomexp@replicate[2]{%
+ \ifnum#1>\z@ \expandafter\@firstofone
+ \else
+ \expandafter\@gobble
+ \fi
+ {#2\expandafter\binomexp@replicate\expandafter{\number\numexpr#1-1\relax}{#2}}%
+}
+\newcommand{\binomexp@call}[1]{\rule[-0.125cm]{0mm}{0.5cm}\mbox{$#1$}}
+\newcounter{binomexp@up}
+\newcommand{\binomexp@up}{\number\value{binomexp@up}
+\addtocounter{binomexp@up}{1}}
+\newcounter{binomexp@down}
+\newcommand{\binomexp@down}{\number\value{binomexp@down}
+\addtocounter{binomexp@down}{-1}}
+\newcounter{binomexp@columns}
+\newcounter{binomexp@power}
+\newcounter{binomexp@pascalstart}
+\newcounter{binomexp@pascalstop}
+\newcounter{binomexp@emptytimes}
+\newcounter{binomexp@variable1}
+\newcounter{binomexp@variable2}
+\newcounter{binomexp@answervar}
+\newcounter{binomexp@sub}
+\protect\newcommand*{\binomexp@printpascal}{
+\addtocounter{binomexp@power}{1}
+\expandafter\edef\csname
+binomexp@morten\roman{binomexp@power}exporti\endcsname{1}
+\setcounter{binomexp@sub}{2}
+\setcounter{binomexp@variable1}{\numexpr\number\value{binomexp@power}+1\relax}
+\whiledo{\number\numexpr\number\value{binomexp@power}+1\relax>
+\value{binomexp@sub}}{
+\setcounter{binomexp@variable1}{\numexpr\number\value{binomexp@sub}-1\relax}
+\setcounter{binomexp@variable2}{\value{binomexp@sub}}
+\setcounter{binomexp@answervar}{\number\numexpr\csname
+binomexp@x\roman{binomexp@variable1}\endcsname\relax+\number\numexpr\csname
+binomexp@x\roman{binomexp@variable2}\endcsname\relax}
+\expandafter\edef\csname binomexp@y\roman{binomexp@sub}\endcsname
+{\number\value{binomexp@answervar}}\relax
+\addtocounter{binomexp@sub}{1}
+}
+\setcounter{binomexp@sub}{2}
+\whiledo{\numexpr\number\value{binomexp@power}+1\relax>\value{binomexp@sub}}{
+\setcounter{binomexp@answervar}{\number\numexpr\csname
+binomexp@y\roman{binomexp@sub}\endcsname\relax}
+\expandafter\edef\csname binomexp@x\roman{binomexp@sub}\endcsname
+{\number\value{binomexp@answervar}}
+\expandafter\edef\csname
+binomexp@morten\roman{binomexp@power}export\roman{binomexp@sub}\endcsname
+{\number\value{binomexp@answervar}}
+\addtocounter{binomexp@sub}{1}
+}
+\setcounter{binomexp@variable1}
+{\numexpr\number\value{binomexp@power}+1\relax}
+\expandafter\edef\csname
+binomexp@x\roman{binomexp@variable1}\endcsname{1}
+\expandafter\edef\csname
+binomexp@morten\roman{binomexp@power}export\roman{binomexp@variable1}\endcsname{1}
+}
+\newcommand*\binomexp@putpascal[6]{\par
+\expandafter\edef\csname binomexp@xi\endcsname{1}
+\expandafter\edef\csname binomexp@mortenexporti\endcsname{1}
+\setcounter{binomexp@power}{0}
+\setcounter{binomexp@pascalstart}{#1}
+\setcounter{binomexp@pascalstop}{#2+1}
+\setcounter{binomexp@emptytimes}{\value{binomexp@pascalstop}}
+\whiledo{\value{binomexp@emptytimes}>1}{
+\binomexp@printpascal \addtocounter{binomexp@emptytimes}{-1}
+}
+\setcounter{binomexp@columns}
+{\numexpr\number\value{binomexp@pascalstop}+2\relax}
+\begin{math} \begin{array}{@{}|c|*{\value{binomexp@columns}}{|c}|@{}}
+\whiledo{\value{binomexp@pascalstart}<
+\numexpr\number\value{binomexp@pascalstop}-1\relax}{
+\setcounter{binomexp@up}{0}
+\setcounter{binomexp@down}{\value{binomexp@pascalstart}}
+\binomexp@call{(#3+#4)^{\number\numexpr\number\value{binomexp@pascalstart}\relax}}
+\binomexp@replicate{\numexpr\number\value{binomexp@pascalstart}+1\relax}
+{&\binomexp@call{\csname
+binomexp@morten\romannumeral\numexpr\value{binomexp@pascalstart}\relax
+export\romannumeral\numexpr\value{binomexp@up}+1\relax\endcsname
+#5^{\binomexp@down} #6^{\binomexp@up}}}\\
+\addtocounter{binomexp@pascalstart}{1}
+}
+\setcounter{binomexp@up}{0}
+\setcounter{binomexp@down}{\value{binomexp@pascalstart}}
+\binomexp@call{(#3+#4)^{\number\numexpr\number\value{binomexp@pascalstart}\relax}}
+\binomexp@replicate{\numexpr\number\value{binomexp@pascalstart}+1\relax}
+{&\binomexp@call{\csname
+binomexp@morten\romannumeral\numexpr\value{binomexp@pascalstart}\relax
+export\romannumeral\numexpr\value{binomexp@up}+1\relax\endcsname
+#5^{\binomexp@down} #6^{\binomexp@up}}}
+ \end{array} \end{math}
+}
+\newcommand{\binomexp@proof}[2]{
+\[ 7!=7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1 \hspace*{5em}
+{#1 \choose #2} = \frac{#1!}{(#1-#2)!\cdot #2!}=
+\frac{#1!}{(#1-#2)!\cdot(#1-(#1-#2))!}={#1 \choose #1-#2}
+\]
+\begin{eqnarray*} {#1 - 1 \choose #2 - 1} + {#1 - 1 \choose #2}
+&=& \frac{(#1 - 1)!}{(#2 - 1)!\cdot[(#1 - 1) - (#2 - 1)]!} +
+\frac{(#1 - 1)!}{#2!\cdot[(#1 - 1) - #2)]!}\\
+&=& (#1 - 1)!\cdot\left(\frac{1}{(#2 - 1)!\cdot(#1 - #2)!} +
+\frac{1}{#2!\cdot[(#1 - #2) - 1)]!}\right) \\
+&=& (#1 - 1)! \cdot\frac{#2 + (#1 - #2)}{#2! (#1 - #2)!} \\
+&=& \frac{#1!}{#2!(#1 - #2)!} = {#1 \choose #2}
+ \end{eqnarray*}
+\[ \frac{#2}{#2!\cdot(#1-#2)!} = \frac{1}{(#2-1)!\cdot(#1-#2)!}
+\hspace*{5em} \mbox{because} \hspace*{5em} \\
+ \frac{6}{6!\cdot(#1-#2)!} = \frac{1}{5!\cdot(#1-#2)!} \]
+\begin{eqnarray*}
+(#2 + 1)\cdot {#1 + 1 \choose #2 + 1} &=& (#2 + 1)\cdot
+\frac{(#1 + 1)!}{((#2 + 1)!\cdot ((#1 + 1) - (#2 + 1))!}\\
+&=& (#2 + 1)\cdot \frac{(#1 + 1)!}{(#2 + 1)!\cdot (#1 - #2)!}\\
+&=& (#1 + 1)\cdot \frac{#1!}{#2!\cdot (#1 - #2)!} = (#1 + 1)\cdot
+{#1 \choose #2}\\
+\end{eqnarray*}
+}
+\endinput
+%%
+%% End of file `binomexp.sty'.
diff --git a/Master/texmf-dist/tpm/binomexp.tpm b/Master/texmf-dist/tpm/binomexp.tpm
new file mode 100644
index 00000000000..fa6822f6073
--- /dev/null
+++ b/Master/texmf-dist/tpm/binomexp.tpm
@@ -0,0 +1,30 @@
+<!DOCTYPE rdf:RDF SYSTEM "../../support/tpm.dtd">
+<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:TPM="http://texlive.dante.de/">
+ <rdf:Description about="http://texlive.dante.de/texlive/Package/binomexp.zip">
+ <TPM:Name>binomexp</TPM:Name>
+ <TPM:Type>Package</TPM:Type>
+ <TPM:Date>2007/01/11 00:59:00</TPM:Date>
+ <TPM:Version></TPM:Version>
+ <TPM:Creator>karl</TPM:Creator>
+ <TPM:Title>The binomexp package.</TPM:Title>
+ <TPM:Description></TPM:Description>
+ <TPM:Author></TPM:Author>
+ <TPM:Size>105312</TPM:Size>
+ <TPM:License></TPM:License>
+ <TPM:Build/>
+ <TPM:RunFiles size="7759">
+texmf-dist/tex/latex/binomexp/binomexp.sty
+texmf-dist/tpm/binomexp.tpm
+ </TPM:RunFiles>
+ <TPM:DocFiles size="82676">
+texmf-dist/doc/latex/binomexp/README
+texmf-dist/doc/latex/binomexp/binomexp.pdf
+ </TPM:DocFiles>
+ <TPM:SourceFiles size="15941">
+texmf-dist/source/latex/binomexp/binomexp.dtx
+texmf-dist/source/latex/binomexp/binomexp.ins
+ </TPM:SourceFiles>
+ <TPM:Provides>Package/binomexp</TPM:Provides>
+ </rdf:Description>
+</rdf:RDF>
+
diff --git a/Master/texmf/lists/binomexp b/Master/texmf/lists/binomexp
new file mode 100644
index 00000000000..a6daba77f7f
--- /dev/null
+++ b/Master/texmf/lists/binomexp
@@ -0,0 +1,8 @@
+texmf-dist/doc/latex/binomexp/README
+texmf-dist/doc/latex/binomexp/binomexp.pdf
+texmf-dist/source/latex/binomexp/binomexp.dtx
+texmf-dist/source/latex/binomexp/binomexp.ins
+texmf-dist/tex/latex/binomexp/binomexp.sty
+texmf-dist/tpm/binomexp.tpm
+
+texmf/lists/binomexp
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-01 08:39:17 +0000