%====================================================================
%-------------------------------------------------------------------- 
%
%   isomath.tex  LaTeX macros for math conforming to ISO standards
%
%---------------------------------------- this is a LaTeX-2e document
%====================================================================     

%% Blackboard Bold

\newcommand*{\bbb}[1]{\mathbb{#1}}
\newcommand{\bC}{\bbb{C}}
\newcommand{\bN}{\bbb{N}}
\newcommand{\bQ}{\bbb{Q}}
\newcommand{\bR}{\bbb{R}}
\newcommand{\bZ}{\bbb{Z}}
\newcommand{\bF}{\bbb{F}}
\newcommand{\bFp}{\bbb{F}_p}
\newcommand{\bFpn}{\bbb{F}_{p^n}}
\newcommand{\ii}{\mathbf{i}}
\newcommand{\jj}{\mathbf{j}}
\newcommand{\kk}{\mathbf{k}}

\newcommand{\N}{\bN}
\newcommand{\Q}{\bQ}
\newcommand{\R}{\bR}
\newcommand{\Z}{\bZ}
\newcommand{\ZpZ}{\Z/p\Z}
\newcommand{\ZmZ}{\Z/m\Z}
\newcommand{\C}{\bC}
\newcommand{\F}{\bF}
\newcommand{\Fp}{\bFp}
\newcommand{\Fpn}{\bFpn}

%% Calligraphic

\newcommand*{\cal}[1]{\mathcal{#1}}
\newcommand{\cB}{\cal{B}}
\newcommand{\cC}{\cal{C}}
\newcommand{\cF}{\cal{F}}
\newcommand{\cH}{\cal{H}}
\newcommand{\cK}{\cal{K}}
\newcommand{\cT}{\cal{T}}

%% Miscellaneous

%yuk -- Kaz's preferences
%\renewcommand{\phi}{\varphi}
%\renewcommand{\theta}{\vartheta}

%% Named Functions and Operators

\newcommand{\id}{\mathrm{id}}
\newcommand{\Id}{\mathrm{Id}}
\newcommand{\rank}{\mathrm{rank}}
\newcommand{\tr}{\mathrm{tr}}
\newcommand{\Aut}{\mathrm{Aut}}

\DeclareMathOperator{\cod}{Codom}
\DeclareMathOperator{\dom}{Dom}
\DeclareMathOperator{\im}{Im}
\DeclareMathOperator{\ran}{Ran}
\DeclareMathOperator{\supp}{supp}

\DeclareMathOperator*{\clsp}{\overline{span}}
\DeclareMathOperator*{\spn}{span}

%% Vectors

\usepackage{amsbsy}
\renewcommand*{\vec}[1]{\boldsymbol{#1}}
\newcommand{\va}{\vec{a}}
\newcommand{\vb}{\vec{b}}
\newcommand{\vc}{\vec{c}}
\newcommand{\vx}{\vec{x}}
\newcommand{\vy}{\vec{y}}
\newcommand{\vz}{\vec{z}}
\newcommand{\vu}{\vec{u}}
\newcommand{\vv}{\vec{v}}
\newcommand{\vw}{\vec{w}}

%% Logical Propositions

\newcommand*{\pro}[1]{\mathsf{#1}}
\newcommand{\pP}{\pro{P}}
\newcommand{\pQ}{\pro{Q}}
\newcommand{\pR}{\pro{R}}

%% Matrices and Tensors

\DeclareMathAlphabet{\mathsfsl}{OT1}{cmss}{m}{sl}
\newcommand*{\mat}[1]{\mathsfsl{#1}}
\newcommand{\mM}{\mat{M}}
\newcommand{\mD}{\mat{D}}
\newcommand{\mI}{\mat{I}}

%% Special Numbers and Characters

\newcommand{\re}{\mathrm{e}}
\newcommand{\ri}{\mathrm{i}}
\newcommand{\rd}{\mathrm{d}} % differential
\newcommand{\dif}[1]{\,\rd{#1}} % differential
\newcommand{\df}{\dif{f}}
\newcommand{\dx}{\dif{x}}
\newcommand{\dy}{\dif{y}}
\newcommand{\dz}{\dif{z}}
\newcommand{\dt}{\dif{t}}
\newcommand{\rpi}{\pi}       % actually, pi should be upright.

\newcommand{\rE}{\mathsf{E}}
\newcommand{\rF}{\mathsf{F}}
\newcommand{\rI}{\mathsf{I}}
\newcommand{\rK}{\mathsf{K}}
\newcommand{\rL}{\mathsf{L}}
\newcommand{\rM}{\mathsf{M}}
\newcommand{\rN}{\mathsf{N}}
\newcommand{\rP}{\mathsf{P}}
\newcommand{\rT}{\mathsf{T}}
\newcommand{\rU}{\mathsf{U}}
\newcommand{\rV}{\mathsf{V}}
\newcommand{\rW}{\mathsf{W}}
\newcommand{\rX}{\mathsf{X}}
\newcommand{\rY}{\mathsf{Y}}
\newcommand{\rZ}{\mathsf{Z}}

%====================================================================