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% jkmath 0.1
% Created by Jonas Kaerts
% Updated 25th of March 2018
%
% This material is subject to the LaTeX Project Public License.
% See http://www.ctan.org/tex-archive/help/Catalogue/licenses.lppl.html for
% the details of that license.
%
% Inspired by the physics package on CTAN, this package defines some simple macros for
% mathematical notation which make the code more readable and/or allow flexibility in typesetting material.
%
% The package is currently being developed as I gather examples of special notation fit for new macro's.
\ProvidesPackage{jkmath}[2018/03/25 package jkmath]
\RequirePackage{xparse}
\RequirePackage{array}
\RequirePackage{amsmath}
\RequirePackage{physics}
\let\oldsubset\subset
\let\oldsupset\supset
% Options
\DeclareOption{subsetorder}{%
\renewcommand{\subset}{\subseteq}%
\newcommand{\stsubset}{\oldsubset}%
\renewcommand{\supset}{\supseteq}%
\newcommand{\stsupset}{\oldsupset}}
\DeclareOption{subsetnonorder}{%
\newcommand{\stsubset}{\subsetneq}%
\newcommand{\stsupset}{\supsetneq}}
\DeclareOption{subsetnonamb}{%
\renewcommand{\subset}{\subseteq}%
\newcommand{\stsubset}{\subsetneq}%
\renewcommand{\supset}{\supseteq}%
\newcommand{\stsupset}{\supsetneq}}
\DeclareOption{bbsets}{
\newcommand{\N}{\mathbb{N}}%Natural numbers
\newcommand{\Z}{\mathbb{Z}}%Integers
\newcommand{\Q}{\mathbb{Q}}%Rational Numbers
\newcommand{\R}{\mathbb{R}}%Real Numbers
\newcommand{\C}{\mathbb{C}}%Complex Numbers
\newcommand{\F}{\mathbb{F}}%Field
\newcommand{\Aff}{\mathbb{A}}%Affine Space
\newcommand{\PP}{\mathbb{P}}%Projective Space
}
\DeclareOption{bfsets}{
\newcommand{\N}{\mathbf{N}}%Natural numbers
\newcommand{\Z}{\mathbf{Z}}%Integers
\newcommand{\Q}{\mathbf{Q}}%Rational Numbers
\newcommand{\R}{\mathbf{R}}%Real Numbers
\newcommand{\C}{\mathbf{C}}%Complex Numbers
\newcommand{\F}{\mathbf{F}}%Field
\newcommand{\Aff}{\mathbf{A}}%Affine Space
\newcommand{\PP}{\mathbf{P}}%Projective Space
}
\ProcessOptions\relax
% Macro's using the array package
\newcolumntype{e}{@{{}={}}}
\newcolumntype{o}{>{{}}c<{{}}}
\newenvironment{system}[1]% more control over systems of equations
{\left\lbrace%
\setlength\arraycolsep{0pt}%
\begin{array}{#1}}%
{\end{array}\right.}
\newenvironment{augmentedmatrix}[2]{% matrix with vertical bar
\begin{array}{@{}*{#1}{c}|*{#2}{c}@{}}
}{%
\end{array}
}
\newcommand{\apmqty}[2]{\left(\begin{augmentedmatrix}{#1}{1}#2\end{augmentedmatrix}\right)}
\newcommand{\ipmqty}[2]{\left(\begin{augmentedmatrix}{#1}{#1}#2\end{augmentedmatrix}\right)}
% Delimiters and intervals
\newcommand{\lparens}{(}
\newcommand{\rparens}{)}
\newcommand{\oointerval}[1]{\lparens #1 \rparens}
\newcommand{\ccinterval}[1]{\lbrack #1 \rbrack}
\newcommand{\ocinterval}[1]{\lparens #1 \rbrack}
\newcommand{\cointerval}[1]{\lbrack #1 \rparens}
% Sets
\newcommand{\set}[1]{\left\{#1\right\}}
\newcommand{\where}{\mathrel{}\middle|\mathrel{}}
\newcommand{\restr}[1]{\left.#1\right|}
% Combinatorics
\DeclareDocumentCommand{\stirlingfirstkind}{}{\genfrac{[}{]}{0pt}{}}
\DeclareDocumentCommand{\stirlingsecondkind}{}{\genfrac\{\}{0pt}{}}
% Number Theory
\DeclareDocumentCommand{\legendre}{ m m }{\left(\frac{#1}{#2}\right)}
\DeclareDocumentCommand{\jacobi}{ m m }{\legendre{#1}{#2}}
% Mathematicians
\newcommand{\mobius}{M\"{o}bius}
\newcommand{\cech}{C\v{e}ch}
\newcommand{\erdos}{Erd\H{os}}
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