77 lines
3.6 KiB
TeX
77 lines
3.6 KiB
TeX
\ProvidesPackage{packages/macros}
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\RequirePackage{amsfonts} % Include missing symbols s.a "Natural Numbers"
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\usepackage{amssymb} % for '\blacksquare' macro
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\usepackage{amsthm} % for 'proof' environment
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\usepackage{mathtools}
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% Snippet to add dots to TOC
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% Thanks to "user11232" at https://tex.stackexchange.com/questions/53898/how-to-get-lines-with-dots-in-the-table-of-contents-for-sections
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%\usepackage{tocloft}
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%\renewcommand{\cftpartleader}{\cftdotfill{\cftdotsep}} % for parts
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%\renewcommand{\cftsecleader}{\cftdotfill{\cftdotsep}} % for sections
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\newcommand{\N}{\mathbb{N}} % Natural numbers symbol
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\newcommand{\Z}{\mathbb{Z}} % Integer symbol
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\newcommand{\Q}{\mathbb{Q}} % Rational numbers symbol
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\newcommand{\R}{\mathbb{R}} % Real numbers symbol
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\newcommand{\C}{\mathbb{C}} % Complex numbers symbol
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\newcommand{\Cat}{\mathcal{C}} % Category
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\newcommand{\Set}{\mathbf{Set}} % Set category
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\newcommand{\K}{\mathbb{K}} % Corps
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\newcommand{\Hq}{\mathbb{H}} % Quaternions numbers symbol
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\newcommand{\Ot}{\mathbb{O}} % Octonions numbers symbol
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\newcommand{\Se}{\mathbb{S}} % Sedenions numbers symbol
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\newcommand{\Pn}{\mathbb{P}} % Sets of all the prime numbers
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\newcommand{\B}{\mathbf{B}} % Topological Ball
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\newcommand{\false}{F} % New symbol for false value
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\newcommand{\true}{V} % New symbol for true value
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\DeclareMathOperator{\Rel}{\mathcal{R}} % New symbol for binary relations
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\DeclareMathOperator{\composes}{\circ} % New symbol composing morphisms
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\DeclarePairedDelimiter{\abs}{|}{|}
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\DeclarePairedDelimiter{\card}{|}{|}
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\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
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\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
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\DeclarePairedDelimiter{\fractional}{\{}{\}}
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\newtheorem{definition}{\lang{Définition}{Definition}}
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\newtheorem{theorem}{\lang{Théorème}{Theoreme}}
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\newtheorem{lemme}{Lemme}
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\newcommandx{\suite}[3][1=n,2=n]{$(#3_{#1})_{#2 \in \N}$}
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\newcommand{\innerproduct}[2]{\langle #1, #2 \rangle}
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\newenvironment{definition_sq}{\begin{mdframed}\begin{definition}}{\end{definition}\end{mdframed}}
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\newenvironment{theorem_sq}{\begin{mdframed}\begin{theorem}}{\end{theorem}\end{mdframed}}
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\newenvironment{lemme_sq}{\begin{mdframed}\begin{lemme}}{\end{lemme}\end{mdframed}}
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\newtheorem{prop}{Proposition}
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\newenvironment{prop_sq}{\begin{mdframed}\begin{prop}}{\end{prop}\end{mdframed}}
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\newtheorem{corollary}{Corollaire}
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\newenvironment{corollary_sq}{\begin{mdframed}\begin{corollary}}{\end{corollary}\end{mdframed}}
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\newcommand{\norm}[1]{\lVert#1\rVert}
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\newcommand{\Norm}[1]{\lVert #1\rVert}
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\newcommand{\powerset}[1]{\mathcal{P}(#1)} % Power set
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\newcommand{\converges}{\rightarrow}
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\newcommand{\equivalence}{\Leftrightarrow}
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\renewcommand{\implies}{\Longrightarrow}
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\newcommand{\Limplies}{\Longleftarrow}
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\newcommand{\impliespart}{\fbox{$\implies$}}
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\newcommand{\Limpliespart}{\fbox{$\Limplies$}}
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\newcommand{\subseteqpart}{\fbox{$\subseteq$}}
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\newcommand{\Lsubseteqpart}{\fbox{$\supseteq$}}
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\DeclareMathOperator{\divides}{\mid}
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\DeclareMathOperator{\suchas}{\text{\lang{tel que}{such as}}}
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\renewcommand{\function}[3]{#1 \colon #2 \longrightarrow #3}
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\newcommand{\functiondef}[2]{\hspace{15pt}#1 \longmapsto #2}
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\newcommand{\otherwise}{\text{\lang{Sinon}{Otherwise}}}
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\DeclareMathOperator{\union}{\cup}
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\DeclareMathOperator{\Union}{\bigcup}
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\DeclareMathOperator{\intersection}{\cap}
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\DeclareMathOperator{\Intersection}{\bigcap}
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\DeclareMathOperator{\cartesianProduct}{\times}
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\DeclareMathOperator{\CartesianProduct}{\bigtimes}
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\newcommand{\discreteInterval}[1]{[\![#1]\!]}
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\newcommand{\closure}[1]{\overline{#1}}
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\renewcommand{\smallskip}{\vspace{3pt}}
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\renewcommand{\medskip}{\vspace{6pt}}
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\renewcommand{\bigskip}{\vspace{12pt}}
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