% ----------------------------------------------------------------------
% -- Packages
% ----------------------------------------------------------------------
\RequirePackage{amsthm}
\RequirePackage{amsbsy,amsmath}
\RequirePackage{amsfonts,amssymb}
% ----------------------------------------------------------------------
% -- Mathematical environment
% ----------------------------------------------------------------------
% -- theorems & related topics
\theoremstyle{plain}
\newtheorem{theo}{Theorem}[section]
\newtheorem{prop}[theo]{Proposition}
\newtheorem{lemm}[theo]{Lemma}
\newtheorem{coro}[theo]{Corollary}
% -- definitions & examples
\theoremstyle{definition}
\newtheorem{defi}{Definition}[section]
\newtheorem{axio}{Axiom}[section]
% -- remarks & axioms
\theoremstyle{remark}
\newtheorem{rema}{Remark}[section]
\newtheorem{exam}{Example}[section]
% -- algorithms
\newtheoremstyle{algostyle}% name
  {}%      Space above, empty = `usual value' 
  {}%      Space below
  {}%         Body font
  {}%         Indent amount (empty = no indent, \parindent = para indent)
  {\bfseries}% Thm head font
  {}%        Punctuation after thm head
  {\newline}% Space after thm head: \newline = linebreak
  {\thmname{#1}\thmnumber{ #2.}{ \texttt{[#3]}}}% Thm head spec
\theoremstyle{algostyle}
\newtheorem{algo}{Algorithm}
% ----------------------------------------------------------------------
% -- Mathematical macros
% ----------------------------------------------------------------------
% -- N, Z, R & C
\newcommand{\N}{\rm I\kern-.16em N}
\newcommand{\Z}{\mathchoice{\sf\textstyle Z\kern-0.4em Z}
{\sf\textstyle Z\kern-0.4em Z}
{\sf\scriptstyle Z\kern-0.3em Z}
{\sf\scriptscriptstyle Z\kern-0.2em Z}}
\newcommand{\R}{\rm I\kern-.16em R}
\newcommand{\C}{\mathchoice{\setbox0=\hbox{$\displaystyle\rm C$}%
\hbox{\hbox to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox
to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}
% -- differential calculus
\providecommand{\diff}[2]{\frac{\partial {#1}}{\partial {#2}}}
\providecommand{\ddiff}[2]{\frac{\partial^2 {#1}}{\partial {#2}^2}}
\providecommand{\dtiff}[3]{\frac{\partial^2 {#1}}{\partial {#2} \partial {#3}}}
% -- integral calculus
\providecommand{\sint}[4]{\int_{#1}^{#2}{#3}\,\mathrm{d}{#4}}
\providecommand{\dint}[3]{\iint_{#1}{#2}\,\mathrm{d}{#3}}
\providecommand{\tint}[3]{\iiint_{#1}{#2}\,\mathrm{d}{#3}}
% -- vector calculus
\providecommand{\ve}[1]{\overrightarrow{#1}}
\providecommand{\norm}[1]{\left\lVert{#1}\right\rVert}
\providecommand{\normsup}[1]{\norm{#1}_\infty}
\providecommand{\scalprod}[2]{\langle{#1},{#2}\rangle}
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