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Diffstat (limited to 'Master/texmf-dist/tex/latex/projlib/old-modules/PJLmath.sty')
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1 files changed, 315 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/projlib/old-modules/PJLmath.sty b/Master/texmf-dist/tex/latex/projlib/old-modules/PJLmath.sty new file mode 100644 index 00000000000..3bd389ef50b --- /dev/null +++ b/Master/texmf-dist/tex/latex/projlib/old-modules/PJLmath.sty @@ -0,0 +1,315 @@ +%% +%% This is file `PJLmath.sty', +%% generated with the docstrip utility. + +%% Copyright (C) 2021 by Jinwen XU +%% +%% This is part of the ProjLib Toolkit. +%% +%% This work may be distributed and/or modified under the conditions of the +%% LaTeX Project Public License, either version 1.3c 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 1.3c or later is part of all distributions of LaTeX version +%% 2005/12/01 or later. +%% +\NeedsTeXFormat{LaTeX2e}[2020-10-01] +\ProvidesPackage{PJLmath} + [2021/12/16 Useful math macros and shortcuts] +\RequirePackage{kvoptions} +\RequirePackage{etoolbox} +\RequirePackage{mathtools} +\RequirePackage{mathrsfs} +\@ifpackageloaded{unicode-math}{}{\RequirePackage{amssymb}} + +%%================================ +%% Shorthands +%%================================ +\providecommand{\N}{\ensuremath{\mathbb{N}}} +\providecommand{\Z}{\ensuremath{\mathbb{Z}}} +\providecommand{\Q}{\ensuremath{\mathbb{Q}}} +\providecommand{\R}{\ensuremath{\mathbb{R}}} +\providecommand{\C}{\ensuremath{\mathbb{C}}} +\providecommand{\F}{\ensuremath{\mathbb{F}}} +\providecommand{\A}{\ensuremath{\mathbb{A}}} + +\providecommand{\bb}[1]{\ensuremath{\mathbb{#1}}} +\providecommand{\bbA}{\ensuremath{\mathbb{A}}} +\providecommand{\bbB}{\ensuremath{\mathbb{B}}} +\providecommand{\bbC}{\ensuremath{\mathbb{C}}} +\providecommand{\bbD}{\ensuremath{\mathbb{D}}} +\providecommand{\bbE}{\ensuremath{\mathbb{E}}} +\providecommand{\bbF}{\ensuremath{\mathbb{F}}} +\providecommand{\bbG}{\ensuremath{\mathbb{G}}} +\providecommand{\bbH}{\ensuremath{\mathbb{H}}} +\providecommand{\bbI}{\ensuremath{\mathbb{I}}} +\providecommand{\bbJ}{\ensuremath{\mathbb{J}}} +\providecommand{\bbK}{\ensuremath{\mathbb{K}}} +\providecommand{\bbL}{\ensuremath{\mathbb{L}}} +\providecommand{\bbM}{\ensuremath{\mathbb{M}}} +\providecommand{\bbN}{\ensuremath{\mathbb{N}}} +\providecommand{\bbO}{\ensuremath{\mathbb{O}}} +\providecommand{\bbP}{\ensuremath{\mathbb{P}}} +\providecommand{\bbQ}{\ensuremath{\mathbb{Q}}} +\providecommand{\bbR}{\ensuremath{\mathbb{R}}} +\providecommand{\bbS}{\ensuremath{\mathbb{S}}} +\providecommand{\bbT}{\ensuremath{\mathbb{T}}} +\providecommand{\bbU}{\ensuremath{\mathbb{U}}} +\providecommand{\bbV}{\ensuremath{\mathbb{V}}} +\providecommand{\bbW}{\ensuremath{\mathbb{W}}} +\providecommand{\bbX}{\ensuremath{\mathbb{X}}} +\providecommand{\bbY}{\ensuremath{\mathbb{Y}}} +\providecommand{\bbZ}{\ensuremath{\mathbb{Z}}} + +\providecommand{\mc}[1]{\ensuremath{\mathcal{#1}}} +\providecommand{\mcA}{\ensuremath{\mathcal{A}}} +\providecommand{\mcB}{\ensuremath{\mathcal{B}}} +\providecommand{\mcC}{\ensuremath{\mathcal{C}}} +\providecommand{\mcD}{\ensuremath{\mathcal{D}}} +\providecommand{\mcE}{\ensuremath{\mathcal{E}}} +\providecommand{\mcF}{\ensuremath{\mathcal{F}}} +\providecommand{\mcG}{\ensuremath{\mathcal{G}}} +\providecommand{\mcH}{\ensuremath{\mathcal{H}}} +\providecommand{\mcI}{\ensuremath{\mathcal{I}}} +\providecommand{\mcJ}{\ensuremath{\mathcal{J}}} +\providecommand{\mcK}{\ensuremath{\mathcal{K}}} +\providecommand{\mcL}{\ensuremath{\mathcal{L}}} +\providecommand{\mcM}{\ensuremath{\mathcal{M}}} +\providecommand{\mcN}{\ensuremath{\mathcal{N}}} +\providecommand{\mcO}{\ensuremath{\mathcal{O}}} +\providecommand{\mcP}{\ensuremath{\mathcal{P}}} +\providecommand{\mcQ}{\ensuremath{\mathcal{Q}}} +\providecommand{\mcR}{\ensuremath{\mathcal{R}}} +\providecommand{\mcS}{\ensuremath{\mathcal{S}}} +\providecommand{\mcT}{\ensuremath{\mathcal{T}}} +\providecommand{\mcU}{\ensuremath{\mathcal{U}}} +\providecommand{\mcV}{\ensuremath{\mathcal{V}}} +\providecommand{\mcW}{\ensuremath{\mathcal{W}}} +\providecommand{\mcX}{\ensuremath{\mathcal{X}}} +\providecommand{\mcY}{\ensuremath{\mathcal{Y}}} +\providecommand{\mcZ}{\ensuremath{\mathcal{Z}}} + +\providecommand{\cal}[1]{\ensuremath{\mathcal{#1}}} +\providecommand{\calA}{\ensuremath{\mathcal{A}}} +\providecommand{\calB}{\ensuremath{\mathcal{B}}} +\providecommand{\calC}{\ensuremath{\mathcal{C}}} +\providecommand{\calD}{\ensuremath{\mathcal{D}}} +\providecommand{\calE}{\ensuremath{\mathcal{E}}} +\providecommand{\calF}{\ensuremath{\mathcal{F}}} +\providecommand{\calG}{\ensuremath{\mathcal{G}}} +\providecommand{\calH}{\ensuremath{\mathcal{H}}} +\providecommand{\calI}{\ensuremath{\mathcal{I}}} +\providecommand{\calJ}{\ensuremath{\mathcal{J}}} +\providecommand{\calK}{\ensuremath{\mathcal{K}}} +\providecommand{\calL}{\ensuremath{\mathcal{L}}} +\providecommand{\calM}{\ensuremath{\mathcal{M}}} +\providecommand{\calN}{\ensuremath{\mathcal{N}}} +\providecommand{\calO}{\ensuremath{\mathcal{O}}} +\providecommand{\calP}{\ensuremath{\mathcal{P}}} +\providecommand{\calQ}{\ensuremath{\mathcal{Q}}} +\providecommand{\calR}{\ensuremath{\mathcal{R}}} +\providecommand{\calS}{\ensuremath{\mathcal{S}}} +\providecommand{\calT}{\ensuremath{\mathcal{T}}} +\providecommand{\calU}{\ensuremath{\mathcal{U}}} +\providecommand{\calV}{\ensuremath{\mathcal{V}}} +\providecommand{\calW}{\ensuremath{\mathcal{W}}} +\providecommand{\calX}{\ensuremath{\mathcal{X}}} +\providecommand{\calY}{\ensuremath{\mathcal{Y}}} +\providecommand{\calZ}{\ensuremath{\mathcal{Z}}} + +\providecommand{\mf}[1]{\ensuremath{\mathfrak{#1}}} +\providecommand{\mfa}{\ensuremath{\mathfrak{a}}} +\providecommand{\mfb}{\ensuremath{\mathfrak{b}}} +\providecommand{\mfc}{\ensuremath{\mathfrak{c}}} +\providecommand{\mfd}{\ensuremath{\mathfrak{d}}} +\providecommand{\mfe}{\ensuremath{\mathfrak{e}}} +\providecommand{\mff}{\ensuremath{\mathfrak{f}}} +\providecommand{\mfg}{\ensuremath{\mathfrak{g}}} +\providecommand{\mfh}{\ensuremath{\mathfrak{h}}} +\providecommand{\mfi}{\ensuremath{\mathfrak{i}}} +\providecommand{\mfj}{\ensuremath{\mathfrak{j}}} +\providecommand{\mfk}{\ensuremath{\mathfrak{k}}} +\providecommand{\mfl}{\ensuremath{\mathfrak{l}}} +\providecommand{\mfm}{\ensuremath{\mathfrak{m}}} +\providecommand{\mfn}{\ensuremath{\mathfrak{n}}} +\providecommand{\mfo}{\ensuremath{\mathfrak{o}}} +\providecommand{\mfp}{\ensuremath{\mathfrak{p}}} +\providecommand{\mfq}{\ensuremath{\mathfrak{q}}} +\providecommand{\mfr}{\ensuremath{\mathfrak{r}}} +\providecommand{\mfs}{\ensuremath{\mathfrak{s}}} +\providecommand{\mft}{\ensuremath{\mathfrak{t}}} +\providecommand{\mfu}{\ensuremath{\mathfrak{u}}} +\providecommand{\mfv}{\ensuremath{\mathfrak{v}}} +\providecommand{\mfw}{\ensuremath{\mathfrak{w}}} +\providecommand{\mfx}{\ensuremath{\mathfrak{x}}} +\providecommand{\mfy}{\ensuremath{\mathfrak{y}}} +\providecommand{\mfz}{\ensuremath{\mathfrak{z}}} +\providecommand{\mfA}{\ensuremath{\mathfrak{A}}} +\providecommand{\mfB}{\ensuremath{\mathfrak{B}}} +\providecommand{\mfC}{\ensuremath{\mathfrak{C}}} +\providecommand{\mfD}{\ensuremath{\mathfrak{D}}} +\providecommand{\mfE}{\ensuremath{\mathfrak{E}}} +\providecommand{\mfF}{\ensuremath{\mathfrak{F}}} +\providecommand{\mfG}{\ensuremath{\mathfrak{G}}} +\providecommand{\mfH}{\ensuremath{\mathfrak{H}}} +\providecommand{\mfI}{\ensuremath{\mathfrak{I}}} +\providecommand{\mfJ}{\ensuremath{\mathfrak{J}}} +\providecommand{\mfK}{\ensuremath{\mathfrak{K}}} +\providecommand{\mfL}{\ensuremath{\mathfrak{L}}} +\providecommand{\mfM}{\ensuremath{\mathfrak{M}}} +\providecommand{\mfN}{\ensuremath{\mathfrak{N}}} +\providecommand{\mfO}{\ensuremath{\mathfrak{O}}} +\providecommand{\mfP}{\ensuremath{\mathfrak{P}}} +\providecommand{\mfQ}{\ensuremath{\mathfrak{Q}}} +\providecommand{\mfR}{\ensuremath{\mathfrak{R}}} +\providecommand{\mfS}{\ensuremath{\mathfrak{S}}} +\providecommand{\mfT}{\ensuremath{\mathfrak{T}}} +\providecommand{\mfU}{\ensuremath{\mathfrak{U}}} +\providecommand{\mfV}{\ensuremath{\mathfrak{V}}} +\providecommand{\mfW}{\ensuremath{\mathfrak{W}}} +\providecommand{\mfX}{\ensuremath{\mathfrak{X}}} +\providecommand{\mfY}{\ensuremath{\mathfrak{Y}}} +\providecommand{\mfZ}{\ensuremath{\mathfrak{Z}}} + +\providecommand{\frak}[1]{\ensuremath{\mathfrak{#1}}} +\providecommand{\fraka}{\ensuremath{\mathfrak{a}}} +\providecommand{\frakb}{\ensuremath{\mathfrak{b}}} +\providecommand{\frakc}{\ensuremath{\mathfrak{c}}} +\providecommand{\frakd}{\ensuremath{\mathfrak{d}}} +\providecommand{\frake}{\ensuremath{\mathfrak{e}}} +\providecommand{\frakf}{\ensuremath{\mathfrak{f}}} +\providecommand{\frakg}{\ensuremath{\mathfrak{g}}} +\providecommand{\frakh}{\ensuremath{\mathfrak{h}}} +\providecommand{\fraki}{\ensuremath{\mathfrak{i}}} +\providecommand{\frakj}{\ensuremath{\mathfrak{j}}} +\providecommand{\frakk}{\ensuremath{\mathfrak{k}}} +\providecommand{\frakl}{\ensuremath{\mathfrak{l}}} +\providecommand{\frakm}{\ensuremath{\mathfrak{m}}} +\providecommand{\frakn}{\ensuremath{\mathfrak{n}}} +\providecommand{\frako}{\ensuremath{\mathfrak{o}}} +\providecommand{\frakp}{\ensuremath{\mathfrak{p}}} +\providecommand{\frakq}{\ensuremath{\mathfrak{q}}} +\providecommand{\frakr}{\ensuremath{\mathfrak{r}}} +\providecommand{\fraks}{\ensuremath{\mathfrak{s}}} +\providecommand{\frakt}{\ensuremath{\mathfrak{t}}} +\providecommand{\fraku}{\ensuremath{\mathfrak{u}}} +\providecommand{\frakv}{\ensuremath{\mathfrak{v}}} +\providecommand{\frakw}{\ensuremath{\mathfrak{w}}} +\providecommand{\frakx}{\ensuremath{\mathfrak{x}}} +\providecommand{\fraky}{\ensuremath{\mathfrak{y}}} +\providecommand{\frakz}{\ensuremath{\mathfrak{z}}} +\providecommand{\frakA}{\ensuremath{\mathfrak{A}}} +\providecommand{\frakB}{\ensuremath{\mathfrak{B}}} +\providecommand{\frakC}{\ensuremath{\mathfrak{C}}} +\providecommand{\frakD}{\ensuremath{\mathfrak{D}}} +\providecommand{\frakE}{\ensuremath{\mathfrak{E}}} +\providecommand{\frakF}{\ensuremath{\mathfrak{F}}} +\providecommand{\frakG}{\ensuremath{\mathfrak{G}}} +\providecommand{\frakH}{\ensuremath{\mathfrak{H}}} +\providecommand{\frakI}{\ensuremath{\mathfrak{I}}} +\providecommand{\frakJ}{\ensuremath{\mathfrak{J}}} +\providecommand{\frakK}{\ensuremath{\mathfrak{K}}} +\providecommand{\frakL}{\ensuremath{\mathfrak{L}}} +\providecommand{\frakM}{\ensuremath{\mathfrak{M}}} +\providecommand{\frakN}{\ensuremath{\mathfrak{N}}} +\providecommand{\frakO}{\ensuremath{\mathfrak{O}}} +\providecommand{\frakP}{\ensuremath{\mathfrak{P}}} +\providecommand{\frakQ}{\ensuremath{\mathfrak{Q}}} +\providecommand{\frakR}{\ensuremath{\mathfrak{R}}} +\providecommand{\frakS}{\ensuremath{\mathfrak{S}}} +\providecommand{\frakT}{\ensuremath{\mathfrak{T}}} +\providecommand{\frakU}{\ensuremath{\mathfrak{U}}} +\providecommand{\frakV}{\ensuremath{\mathfrak{V}}} +\providecommand{\frakW}{\ensuremath{\mathfrak{W}}} +\providecommand{\frakX}{\ensuremath{\mathfrak{X}}} +\providecommand{\frakY}{\ensuremath{\mathfrak{Y}}} +\providecommand{\frakZ}{\ensuremath{\mathfrak{Z}}} + +\providecommand{\ms}[1]{\ensuremath{\mathscr{#1}}} +\providecommand{\msA}{\ensuremath{\mathscr{A}}} +\providecommand{\msB}{\ensuremath{\mathscr{B}}} +\providecommand{\msC}{\ensuremath{\mathscr{C}}} +\providecommand{\msD}{\ensuremath{\mathscr{D}}} +\providecommand{\msE}{\ensuremath{\mathscr{E}}} +\providecommand{\msF}{\ensuremath{\mathscr{F}}} +\providecommand{\msG}{\ensuremath{\mathscr{G}}} +\providecommand{\msH}{\ensuremath{\mathscr{H}}} +\providecommand{\msI}{\ensuremath{\mathscr{I}}} +\providecommand{\msJ}{\ensuremath{\mathscr{J}}} +\providecommand{\msK}{\ensuremath{\mathscr{K}}} +\providecommand{\msL}{\ensuremath{\mathscr{L}}} +\providecommand{\msM}{\ensuremath{\mathscr{M}}} +\providecommand{\msN}{\ensuremath{\mathscr{N}}} +\providecommand{\msO}{\ensuremath{\mathscr{O}}} +\providecommand{\msP}{\ensuremath{\mathscr{P}}} +\providecommand{\msQ}{\ensuremath{\mathscr{Q}}} +\providecommand{\msR}{\ensuremath{\mathscr{R}}} +\providecommand{\msS}{\ensuremath{\mathscr{S}}} +\providecommand{\msT}{\ensuremath{\mathscr{T}}} +\providecommand{\msU}{\ensuremath{\mathscr{U}}} +\providecommand{\msV}{\ensuremath{\mathscr{V}}} +\providecommand{\msW}{\ensuremath{\mathscr{W}}} +\providecommand{\msX}{\ensuremath{\mathscr{X}}} +\providecommand{\msY}{\ensuremath{\mathscr{Y}}} +\providecommand{\msZ}{\ensuremath{\mathscr{Z}}} + +\providecommand{\scr}[1]{\ensuremath{\mathscr{#1}}} +\providecommand{\scrA}{\ensuremath{\mathscr{A}}} +\providecommand{\scrB}{\ensuremath{\mathscr{B}}} +\providecommand{\scrC}{\ensuremath{\mathscr{C}}} +\providecommand{\scrD}{\ensuremath{\mathscr{D}}} +\providecommand{\scrE}{\ensuremath{\mathscr{E}}} +\providecommand{\scrF}{\ensuremath{\mathscr{F}}} +\providecommand{\scrG}{\ensuremath{\mathscr{G}}} +\providecommand{\scrH}{\ensuremath{\mathscr{H}}} +\providecommand{\scrI}{\ensuremath{\mathscr{I}}} +\providecommand{\scrJ}{\ensuremath{\mathscr{J}}} +\providecommand{\scrK}{\ensuremath{\mathscr{K}}} +\providecommand{\scrL}{\ensuremath{\mathscr{L}}} +\providecommand{\scrM}{\ensuremath{\mathscr{M}}} +\providecommand{\scrN}{\ensuremath{\mathscr{N}}} +\providecommand{\scrO}{\ensuremath{\mathscr{O}}} +\providecommand{\scrP}{\ensuremath{\mathscr{P}}} +\providecommand{\scrQ}{\ensuremath{\mathscr{Q}}} +\providecommand{\scrR}{\ensuremath{\mathscr{R}}} +\providecommand{\scrS}{\ensuremath{\mathscr{S}}} +\providecommand{\scrT}{\ensuremath{\mathscr{T}}} +\providecommand{\scrU}{\ensuremath{\mathscr{U}}} +\providecommand{\scrV}{\ensuremath{\mathscr{V}}} +\providecommand{\scrW}{\ensuremath{\mathscr{W}}} +\providecommand{\scrX}{\ensuremath{\mathscr{X}}} +\providecommand{\scrY}{\ensuremath{\mathscr{Y}}} +\providecommand{\scrZ}{\ensuremath{\mathscr{Z}}} + +%%================================ +%% General symbols +%%================================ +\providecommand{\abs}[1]{\lvert#1\rvert} +\providecommand{\norm}[1]{\lVert#1\rVert} + +\providecommand*{\injection}{\ensuremath{\hookrightarrow}} +\providecommand*{\surjection}{\ensuremath{\twoheadrightarrow}} +\providecommand*{\bijection}{\ensuremath{\xrightarrow{\sim}}} + +%%================================ +%% Symbols for number theory +%%================================ +\ifdefined\@@pmod\else +\let\@@pmod\pmod +\DeclareRobustCommand{\pmod}{\@ifstar\@pmods\@@pmod} +\def\@pmods#1{\mkern4mu({\operator@font mod}\mkern 6mu#1)} +\fi + +\providecommand{\genlegendre}[4]{% + \genfrac{(}{)}{}{#1}{#3}{#4}% + \if\relax\detokenize{#2}\relax\else_{\!#2}\fi% +} +\providecommand{\legendre}[3][]{\genlegendre{}{#1}{#2}{#3}} +\providecommand{\dlegendre}[3][]{\genlegendre{0}{#1}{#2}{#3}} +\providecommand{\tlegendre}[3][]{\genlegendre{1}{#1}{#2}{#3}} + +\endinput +%% +%% End of file `PJLmath.sty'. |