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Diffstat (limited to 'Master/texmf-dist/tex/latex/cjw/cjwmath.sty')
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1 files changed, 441 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/cjw/cjwmath.sty b/Master/texmf-dist/tex/latex/cjw/cjwmath.sty new file mode 100644 index 00000000000..e13b9601efd --- /dev/null +++ b/Master/texmf-dist/tex/latex/cjw/cjwmath.sty @@ -0,0 +1,441 @@ +%% +%% This is file `cjwmath.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% cjw-latex.dtx (with options: `math') +%% +%% Copyright (C) 1997 by: Colin J. Wynne <cwynne@mts.jhu.edu> +%% +%% This file is part of cjw-latex, a collection of package files for +%% LaTeX2e, written by Colin J. Wynne. It may be freely distributed in +%% any form---electronic, physical, or otherwise---so long as the +%% distributor provides this file in its entirety (including this +%% copyright announcement) and charges no fee (except for reasonable +%% recompense for the duplication process). Fair 'nough? +%% +%% I would also prefer that the entire source file `cjw-latex.dtx', +%% together with `cjw-latex.ins', be propagated instead of any one +%% subfile. +%% +%% Please feel free to improve on or alter any code herein as suits your +%% needs, and by all means notify me of any suggestions, improvements, or +%% requests. +%% +%% This file is beer-ware. If you use it and like it, then you should +%% buy me a beer if you ever meet me. :-) +%% +%% RCS: $Id: cjw-latex.ins,v 1.3 1998/04/10 14:30:18 cwynne Exp $ +%% +\def\RCSinfo{$Id: cjw-latex.dtx,v 0.13 1998/09/01 15:54:20 cwynne Exp $} + +\def\RCSsplit $#1: #2,v #3 #4 #5 #6 #7${ + \gdef\filename {#2} + \gdef\fileversion{#3} + \gdef\filedate {#4} + \gdef\filetime {#5} + \gdef\fileauthor {#6} + \gdef\filelocker {#7}} + +\expandafter\RCSsplit\RCSinfo +%% +%% \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 \~} +%% +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{cjwmath} + [\filedate\space v\fileversion\space + Math macros for LaTeX2e---CJW] +\newif \if@amsmath +\newif \if@derivatives +\newif \if@integrals +\newif \if@physics +\DeclareOption{amsmath} {\@amsmathtrue} +\DeclareOption{derivs} {\@derivativestrue} +\DeclareOption{integrals}{\@integralstrue} +\DeclareOption{physics} {\@physicstrue} +\DeclareOption{units}{% + \PackageWarning{cjwmath}% + {Obsolete option \CurrentOption. Use package `cjwunits' instead.}} +\DeclareOption*{% + \PackageWarning{cjwmath}{Unknown option `\CurrentOption'}} +\ProcessOptions +\RequirePackage{cjwmacro} +\RequirePackage{amssymb} +\RequirePackage{amstext} +\RequirePackage{bbm} +\if@amsmath + \RequirePackage{amsmath} +\fi +\DeclareRobustCommand{\NewMathOp}{% + \@ifstar{\@makenewop{\displaylimits}} + {\@makenewop{\nolimits}}} +\def\@makenewop#1{% + \@ifnextchar [{\@@makenewop{#1}} + {\@@makenewop{#1}[\operator@font]}} +\def\@@makenewop#1[#2]#3#4{% + \DeclareRobustCommand{#3}{% + \mathop{\kern\z@{#2{#4}}}#1}} +\swapdef{\epsilon}{\varepsilon} +\swapdef{\rho}{\varrho} +\swapdef{\nothing}{\varnothing} +\alias\leer\nothing +\alias\@@exists\exists + \renewcommand{\exists}{\mathrel{\@@exists}} +\alias\@@forall\forall + \renewcommand{\forall}{\mathrel{\@@forall}} +\newcommand{\st}{\mathrel{\ni}} +\newcommand{\WLOG}{Without loss of generality\xspace} +\newcommand{\Wlog}{without loss of generality\xspace} +\newcommand{\obda}{o.B.d.A.\xspace} +\newcommand{\fp}{floating-point\xspace} +\newcommand{\pneg}{\phantom{-}} +\newcommand{\peq}{\phantom{=}} +\newcommand{\anglebrackets}[1]{% + \left\langle #1 \right\rangle} +\newcommand{\curlybrackets}[1]{% + \left\{ #1 \right\}} +\newcommand{\squarebrackets}[1]{% + \left[ #1 \right]} +\newcommand{\vertbrackets}[1]{% + \left| #1 \right|} +\newcommand{\Vertbrackets}[1]{% + \left\| #1 \right\|} +\newcommand{\noarg}{\,\cdot\,} +\newcommand{\ee}[1]{\times10^{#1}} +\newcommand{\half}{\sfrac12} +\newcommand{\ninfty}{-\infty} +\newcommand{\fcn}[2]{\colon{#1}\rightarrow{#2}} + \newcommand{\mapping}[3]{{#1}\fkt{#2}{#3}} +\alias\fkt\fcn +\newcommand{\restr}[2][\big]{\kern -.1em #1|_{#2}} +\if@amsmath + \realias\choose\binom +\else + \renewcommand{\choose}[2]{{{#1}\atopwithdelims(){#2}}} +\fi +\newcommand{\mchoose}[2]{% + \mathchoice% + {\left(\kern-0.48em\choose{#1}{#2}\kern-0.48em\right)} + {\left(\kern-0.30em + \choose{\smash{#1}}{\smash{#2}}\kern-0.30em\right)} + {\left(\kern-0.30em + \choose{\smash{#1}}{\smash{#2}}\kern-0.30em\right)} + {\left(\kern-0.30em + \choose{\smash{#1}}{\smash{#2}}\kern-0.30em\right)} + } +\newcommand{\Comb}[2]{% % C + {}_{#1}{\operator@font C}_{#2}} % #1 #2 +\newcommand{\Komb}[2]{% % #2 + {\operator@font Ko}_{#1}^{#2}} % Ko +\newcommand{\Kombun}[2]{\Komb{#1,\neq}{#2}} % #1 +\newcommand{\Perm}[2]{% % #2 + {\operator@font Pe}_{#1}^{#2}} % Pe +\newcommand{\Permun}[2]{\Perm{#1,\neq}{#2}} % #1 +\newcommand{\set}[3][|]{{% + \newdimen\@tempdimd% + \setbox0=\mathbox{#2}\@tempdima=\ht0 \@tempdimb=\dp0% + \setbox0=\mathbox{#3}\@tempdimc=\ht0 \@tempdimd=\dp0% + \ifdim\@tempdimc > \@tempdima + \@tempdima=\@tempdimc + \fi + \ifdim\@tempdimd > \@tempdimb + \@tempdimb=\@tempdimb + \fi + \def\@tempa{\vrule width0pt height\@tempdima depth\@tempdimb} + \def\@tempb{#1} + \ifx\@empty\@tempb + \def\@tempb{.} + \fi + \left.\left\{ \@tempa{#2} \,\expandafter\right\@tempb\,{#3} \right\} }} +\alias\setl\set +\alias\setr\set +\newcommand{\lvl}[2][\alpha]{\Gamma\ssb{#2}\ssp{(#1)}} +\if@amsmath + \newcommand{\fset}[1]{\Tilde{#1}} +\else + \newcommand{\fset}[1]{\tilde{#1}} +\fi +\newcommand{\flvl}[2][\alpha]{\lvl[#1]{\fset{#2}}} +\alias\coll\mathcal +\alias\scomp\setminus +\alias\coset\backslash +\newcommand{\symmdiff}{% + \mathbin{\text{\footnotesize$\bigtriangleup$}}} +\newcommand{\seq} [1] {\curlybrackets{#1}} +\newcommand{\inset} [2][1]{\in\{ #1,\ldots,#2 \}} +\newcommand{\inrange}[2][1]{ = #1,\ldots,#2} +\if@derivatives + \InputIfFileExists{cjwderiv.tex}{}{% + \PackageWarning{cjwmath}{Option `cjwderiv.tex' not found.} + \@@derivativesfalse} +\fi +\if@integrals + \InputIfFileExists{cjwinteg.tex}{}{% + \PackageWarning{cjwmath}{Option `cjwinteg.tex' not found.} + \@@integralsfalse} +\fi +\alias\alg\mathbbm +\alias\field\mathbbm +\newcommand{\C}{\field{C}} % Complex +\newcommand{\E}{\field{E}} % Euclidean (also Evens) +\alias\latex@H\H % Quaternions + \renewcommand{\H}{\field{H}} % (Hamiltonian field) +\newcommand{\N}{\field{N}} % Natural numbers +\newcommand{\Q}{\field{Q}} % Rationals +\newcommand{\R}{\field{R}} % Reals +\newcommand{\Z}{\field{Z}} % Integers +\newcommand{\pr}{\field{P}} % Primes +\NewMathOp {\Aut}{Aut} % Automorphisms +\NewMathOp {\End}{End} % Endomorphisms +\NewMathOp {\GL}{GL} % General Linear +\NewMathOp {\Inn}{Inn} % Inner products +\NewMathOp {\Pin}{Pin} % Pin +\NewMathOp {\SL}{SL} % Special Linear +\NewMathOp {\SO}{SO} % Special Orthogonal +\NewMathOp {\SU}{SU} % Special Unitary +\NewMathOp[\mathfrak]{\Sn}{S} % Symmetric +\NewMathOp {\Spin}{Spin} % Spin +\NewMathOp {\Sp}{Sp} % Symplectic +\NewMathOp {\Unit}{U\kern 0pt}% Unitary +\NewMathOp {\Orth}{O\kern 0pt}% Orthogonal +\NewMathOp[\mathfrak]{\slin}{sl} % Tangent group to SL +\NewMathOp[\mathfrak]{\so}{o\kern 0pt} % skew orthogonal +\NewMathOp[\mathfrak]{\sp}{sp} % skew symplectic +\NewMathOp[\mathfrak]{\su}{u\kern 0pt} % skew hermitian +\alias\mtx\mathcal +\newcommand{\nullmtx}{\mtx\Theta} +\newcommand{\mnorm}[1]{% + \left\vert\kern-0.9pt\left\vert\kern-0.9pt\left\vert #1 + \right\vert\kern-0.9pt\right\vert\kern-0.9pt\right\vert} +\newcommand{\lie}[1]{\squarebrackets{#1}} +\NewMathOp{\Spur}{Spur} +\NewMathOp{\Tr}{Tr} +\NewMathOp{\Diag}{Diag} +\if@amsmath + \newenvironment{arbmatrix}[2]% + {\def\@tempa{#2}\left#1 \matrix}{\endmatrix \right\@tempa} +\else + \newcommand{\arbmatrix}[3]{\left#1 \matrix{#2} \right#3} + \providecommand{\bmatrix}[1]{\arbmatrix[{#1}]} + \providecommand{\vmatrix}[1]{\arbmatrix|{#1}|} +\fi +\newlength{\numoffset} +{\setbox0=\hbox{$\Bigmathstrut$} + \@tempdima=0.8\ht0\relax + \global\numoffset\@tempdima} +\newcommand{\Number}[2][-\numoffset]{% + \@tempdima=#1\relax + \smash{\hbox{\raise\@tempdima\@bignumber{#2}}}} +\newcommand{\@bignumber}[1]{\hbox{\LARGE$#1$}} +\def\bignumber #1{\multicolumn{2}{c}{\Number{#1}}} +\def\Bignumber[#1]#2{\multicolumn{2}{c}{\Number[#1]{#2}}} +\newcommand{\Zero}[1][-\numoffset]{\Number[#1]{0}} +\def\bigzero {\bignumber{0}} +\def\Bigzero[#1]{\Bignumber[#1]{0}} +\if@amsmath + \newcommand{\iidiagi}[4][-\numoffset]{% % 2 0 + \begin{bmatrix} % 3 + #2 & & \Bigzero[#1] \\ % . + & #3 & & \\ % . + \Bigzero[#1] & \ddots & \\ % 0 4 + & & & #4 + \end{bmatrix}} + \newcommand{\idiagii}[4][-\numoffset]{% % 2 0 + \begin{bmatrix} % . + #2 & & \Bigzero[#1] \\ % . + & \ddots & & \\ % 3 + \Bigzero[#1] & #3 & \\ % 0 4 + & & & #4 + \end{bmatrix}} + \newcommand{\idiagi}[3][-1.2pt]{% % 2 0 + \begin{bmatrix} % . + #2 & \Bigzero[#1] \\ % . + & \ddots & \\ % . + \Bigzero[#1] & #3 % 0 3 + \end{bmatrix}} +\else + \newcommand{\iidiagi}[4][-\numoffset]{% % 2 0 + \matrix{% % 3 + #2 & & \Bigzero[#1] \\ % . + & #3 & & \\ % . + \Bigzero[#1] & \ddots & \\ % 0 4 + & & & #4}} + \newcommand{\idiagii}[4][-\numoffset]{% + \pmatrix{% % 2 0 + #2 & & \Bigzero[#1] \\ % . + & \ddots & & \\ % . + \Bigzero[#1] & #3 & \\ % 3 + & & & #4}} % 0 4 + % + \newcommand{\idiagi}[3][-1.2pt]{% % 2 0 + \pmatrix{% % . + #2 & \Bigzero[#1] \\ % . + & \ddots & \\ % . + \Bigzero[#1] & #3}} % 0 3 +\fi +\newcommand{\@trans}[2][]{^{#1\text{\normalfont\textsf{t}}#2}} +\newcommand{\trans} [1][]{\@trans[]{#1}} +\newcommand{\trinv} {\@trans[-]{}} +\newcommand{\ct}[1]{\conj{#1}\trans} +\alias\sarvec\vec +\alias\arvec \overrightarrow +\renewcommand{\vec}[1]{\Mathbox{\boldmath}{#1}} +\if@amsmath + \newcommand{\bvec}[1]{% + \begin{bmatrix}#1\end{bmatrix}} + \newcommand{\pvec}[1]{% + \begin{pmatrix}#1\end{pmatrix}} + \alias\brvec\bvec + \alias\prvec\pvec +\else + \newcommand{\bvec}[1]{\bmatrix{#1}} + \newcommand{\pvec}[1]{\pmatrix{#1}} +\fi +\newcommand{\nullvec}{\vec{0}} +\newcommand{\dotp}[1]{\anglebrackets{#1}} +\newcommand{\vdotp}[1]{\@vdotp#1@@@} +\def\@vdotp #1,#2@@@{\dotp{\vec #1,\vec #2}} +\newcommand{\del} {\vec\nabla} +\alias\@@div\div +\renewcommand{\div}{\del\dot} +\newcommand{\curl} {\del\cross} +\newcommand{\lapl} {\del^2} +\alias\huelle\squarebrackets +\newcommand{\by}{\mathord{\times}} +\alias\mal \times +\alias\cross \times +\alias\iso \simeq +\alias\nsubgrp \trianglelefteq +\realias\cong \equiv +\alias\adj\leftrightarrow +\providecommand{\Box}{} +\renewcommand{\Box}{\mathbin{\square}} +\newcommand{\teilt}{\mathbin{|}} + \alias\divides\teilt +\newcommand{\defeq}{\stackrel{\text{def}}{=}} +\newcommand{\uminus}{% + \,\,{\mathbin{\cup\kern-.6em{\raise.05em% + \hbox{-\negthinspace-\kern-.25em-}}}}\,\,} +\newcommand{\Uminus}{% + \mathop{\bigcup\kern-0.9em{\raise.05em% + \hbox{-\negthinspace-\kern-.25em-}}}} +\providecommand{\implies}{\;\Longrightarrow\;} + \alias\then\implies +\if@amsmath + \newcommand{\when}{\DOTSB \;\Longleftarrow \;} +\else + \newcommand{\when}{\;\Longleftarrow \;} +\fi +\newcommand{\limplies}{\llap{$\implies$}\quad} +\newcommand{\sfrac}[2]{% + \hbox{\kern 0.1em% + \raise 0.5ex\hbox {\scriptsize$#1$}% + \kern -0.1em $/$% + \kern -0.15em% + \lower 0.25ex\hbox {\scriptsize$#2$}}% + \kern 0.2em} +\providecommand{\tfrac}{\sfrac} +\providecommand{\dfrac}[2]{{{#1}\over{#2}}} +\alias\sbar\bar + \renewcommand{\bar}[1]{\overline{#1}} +\alias\stilde\tilde + \alias\retilde\widetilde +\alias\shat\hat + \realias\hat\widehat +\renewcommand{\Im}{% + \mathop{\mathfrak{Im}}} +\renewcommand{\Re}{% + \mathop{\mathfrak{Re}}} +\alias\conj \bar +\newcommand{\inv}{^{-1}} +\@ifundefined{mathscript} + {\newcommand{\Pow}{\raise 0.4ex\Mathbox{\Large}{\wp}}} + {\NewMathOp[\mathscript]{\Pow}{P}} +\alias\Pot\Pow +\newcommand{\1}{\mathbbm{1}} +\alias\acos\arccos +\alias\asin\arcsin +\alias\atan\arctan +\alias\abs \vertbrackets +\alias\ord \abs +\alias\cyc \anglebrackets +\alias\norm\Vertbrackets +\newcommand{\dsum}{\mathop{\sum\sum}\limits} +\newcommand{\tsum}{\mathop{\sum\sum\sum}\limits} +\newcommand{\nsum}{\mathop{\sum\sum\cdots\sum}\limits} +\NewMathOp*{\ulim}{lim\raise0.4ex\mathbox{\mathord{\smash{\uparrow}}}} +\NewMathOp*{\dlim}{lim\raise0.4ex\mathbox{\mathord{\smash{\downarrow}}}} +\NewMathOp*{\argmax}{arg\,max} % arg min +\NewMathOp*{\argmin}{arg\,min} % arg min +\NewMathOp {\Aff} {Aff} % Affine hull +\NewMathOp {\Bild} {Bild} % Bild +\NewMathOp {\Cone} {Cone} % Cone +\NewMathOp {\Conv} {Conv} % Convex hull +\NewMathOp {\Core} {Core} % Fuzzy set core +\NewMathOp {\diam} {diam} % diameter +\NewMathOp {\dom} {dom} % Domain +\NewMathOp {\Epi} {Epi} % Epigraph +\NewMathOp*{\esssup}{ess\,sup} % Essential supremum +\NewMathOp {\fl} {fl} % float-point +\NewMathOp {\ggT} {ggT} % ggT +\NewMathOp {\Grad} {Grad} % Grad +\NewMathOp {\Hypo} {Hypo} % Hypograph +\NewMathOp {\Int} {Int} % Interior +\NewMathOp {\Kern} {Kern} % Kernel +\NewMathOp {\kgV} {kgV} % kgV +\NewMathOp {\Lin} {Lin} % Linear hull +\NewMathOp {\lcm} {lcm} % LCM +\NewMathOp {\Ord} {Ord} % order +\NewMathOp {\proj} {proj} % Projection +\NewMathOp {\Rang} {Rang} % Rang +\NewMathOp {\range} {range} % Range +\NewMathOp {\Rank} {Rank} % Rank +\NewMathOp {\rot} {rot} % Rotation +\NewMathOp {\Span} {Span} % Span +\NewMathOp {\val} {val} % value +\if@physics + \InputIfFileExists{cjwphys.tex}{}{% + \PackageWarning{cjwmath}{Option `cjwphys.tex' not found.} + \@@physicsfalse} +\fi +\NewMathOp{\Prob} {P} % Probability operator +\NewMathOp{\Corr} {Corr} % Correlation +\NewMathOp{\Cov} {Cov} % Covariance +\NewMathOp{\Expct}{E} % Expectation +\NewMathOp{\SD} {SD} % Standard Deviation. +\NewMathOp{\Var} {Var} % Variance +\newcommand{\given}{\,|\,} +\alias\distrib\sim +\NewMathOp{\Bin} {Bin} % Binary dist. + \newcommand{\Nbin}{-\!\Bin} % Negative Binom. +\NewMathOp{\Exp} {Exp} % Exponential dist. +\NewMathOp{\Geom}{Geom} % Geometric dist. +\NewMathOp{\Norm}{Norm} % Normal dist. +\NewMathOp{\Poi} {Poi} % Poisson dist. +\NewMathOp{\Unif}{Unif} % Uniform dist. +\NewMathOp[\mathfrak]{\Ndens}{N} +\NewMathOp[\mathfrak]{\Ndist}{n} +\NewMathOp*{\@mapsto}{\mapstochar\rightarrow} +\newcommand{\@probconv}[1]{\mathrel{\@mapsto\limits^{1}}} + \newcommand{\asconv}{\@probconv{a.s.}} % Almost sure conv. + \newcommand{\inprob}{\@probconv{P}} % Conv. in probability + \newcommand{\inlaw} {\@probconv{L}} % Conv. in law + \newcommand{\vague} {\@probconv{v}} % Vague conv. +\endinput +%% +%% End of file `cjwmath.sty'. |