Initial commit from overleaf
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2 changed files with 359 additions and 0 deletions
248
cours.sty
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248
cours.sty
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\ProvidesPackage{cours}
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%%% XeLaTeX ONLY
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% Packages
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\@ifclassloaded{beamer}{}{
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\RequirePackage[xetex]{geometry}
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\RequirePackage[pdfusetitle]{hyperref}
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\RequirePackage{enumitem}
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}
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\RequirePackage{fontspec}
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\RequirePackage{polyglossia}
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\RequirePackage{csquotes}
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\RequirePackage{amsmath, amssymb, amsbsy}
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%\RequirePackage{mathtools}
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\RequirePackage{siunitx}
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\RequirePackage{stmaryrd}
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\RequirePackage{dsfont}
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\RequirePackage{array}
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\RequirePackage{esvect}
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\RequirePackage{tikz}
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\RequirePackage{pgfplots}
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\RequirePackage{amsthm}
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\RequirePackage{pgfpages}
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\RequirePackage[version=4]{mhchem}
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%\RequirePackage{breqn}
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\RequirePackage{listings}
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\RequirePackage{esint}
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\RequirePackage{tabularx}
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\RequirePackage{multirow}
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\RequirePackage{booktabs}
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%\RequirePackage{multicol}
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\RequirePackage{setspace}
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%\RequirePackage{ulem}
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\RequirePackage{cancel}
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\RequirePackage{xcolor}
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\RequirePackage{unicode-math}
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%\RequirePackage[backend=biber,sorting=ynt]{biblatex}
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\RequirePackage[notransparent]{svg}
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\@ifclassloaded{beamer}{}{
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\RequirePackage[list=true]{subcaption}
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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% Langue
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\setdefaultlanguage{french}
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\MakeOuterQuote{"}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% Macros
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%% Dérivées / Intégrales
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\renewcommand\d{\mathrm d}
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\newcommand\dd{\mathop{}\,\mathrm d}
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\newcommand\deriv[2]{\frac{\d#1}{\d#2}}
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\newcommand\dderiv[2]{\frac{\d^2#1}{\d#2^2}}
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\newcommand\der[2]{\frac{\d#1}{\d#2}}
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\newcommand\dder[2]{\frac{\d^2#1}{\d#2^2}}
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\newcommand\dpar[2]{\frac{\partial#1}{\partial#2}}
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\newcommand\ddpar[2]{\frac{\partial^2#1}{\partial#2^2}}
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\newcommand\derp[2]{\frac{\partial#1}{\partial#2}}
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\newcommand\dderp[2]{\frac{\partial^2#1}{\partial#2^2}}
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\newcommand\dint{\int\displaylimits}
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\newcommand\doint{\oint\displaylimits}
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%%% Symboles
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\newcommand\bOmega{\boldsymbol\Omega}
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\newcommand\bepsilon{\boldsymbol\epsilon}
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\newcommand\btheta{\boldsymbol\theta}
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\newcommand\bsigma{\boldsymbol\sigma}
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\renewcommand\epsilon{\varepsilon}
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%\renewcommand\C{\coulomb}
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\newcommand\e{\mathrm e}
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\newcommand\RR{\mathbb R}
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\newcommand\CC{\mathbb C}
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\newcommand\KK{\mathbb K}
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\newcommand\NN{\mathbb N}
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\newcommand\FF{\mathbb F}
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\newcommand\EE{\mathbb E}
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\newcommand\DD{\mathbb D}
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\newcommand\fF{\mathcal F}
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\newcommand\dD{\mathcal D}
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\newcommand\lL{\mathcal L}
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\newcommand\cC{\mathcal C}
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\newcommand\id{\mathbf 1}
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\newcommand\Id{\mathrm Id}
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%%% Exposant / Indice à gauche
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\newcommand\trans[1]{\vphantom{#1}^t#1}
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\newcommand\eul[1]{\vphantom{#1}^E#1}
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\newcommand\lag[1]{\vphantom{#1}^L#1}
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\newcommand\indL[2]{\vphantom{#2}_{#1}#2}
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\newcommand\expL[2]{\vphantom{#2}^{#1}#2}
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%%% Opérateurs mathématiques
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\newcommand\abs[1]{\left|#1\right|}
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\newcommand\nor[1]{\left\lVert#1\right\lVert}
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\newcommand\peigne{\mathbin{\rotatebox[origin=c]{-90}{$\exists$}}}
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\newcommand\moy[1]{\left<#1\right>}
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\newcommand\tor[2]{\vphantom{\begin{array}c#2\end{array}}_{#1}\left|\begin{array}c#2\end{array}\right.}
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\DeclareMathOperator\grad{\u{grad}}
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\DeclareMathOperator\ggrad{\uu{grad}}
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\let\div\relax
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\DeclareMathOperator\diverg{\u{div}}
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\DeclareMathOperator\rot{\u{rot}}
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\DeclareMathOperator\Ker{Ker}
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\DeclareMathOperator\sign{sign}
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\DeclareMathOperator\tr{tr}
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\DeclareMathOperator\cotan{cotan}
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\DeclareMathOperator\cond{cond}
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\DeclareMathOperator\erf{erf}
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\DeclareMathOperator\erfc{erfc}
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%%% Vecteurs et Matrices
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\renewcommand\u[1]{\underline{#1}}
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\newcommand\uu[1]{\underline{\underline{#1}}}
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\newcommand\ov[1]{\overline{#1}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% Paramétrage des packages
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%% Styles de théorèmes
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\theoremstyle{remark}
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\newtheorem{rem}{Remarque}
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\newtheorem*{rem*}{Remarque}
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\theoremstyle{definition}
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\newtheorem*{defi}{Définition}
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\newtheorem{ex}{Exemple}
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\newtheorem*{theo}{Théorème}
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%%% Listings (code)
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\lstset{numbers=left,
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numberstyle=\tiny\color{gray}\ttfamily,
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language=Python,
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basicstyle=\linespread{1.2}\ttfamily,
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columns = flexible,
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keywordstyle=\color{blue},
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commentstyle=\itshape\color{gray},
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stringstyle=\color{ForestGreen},
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frame=single,
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stepnumber=5,
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showstringspaces=true,
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backgroundcolor=\color{ultralightgray},
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morekeywords={>>>, np, array, zeros, shape},
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%breaklines=true,
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%prebreak=\textbackslash,
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alsoletter=>
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}
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%%% Tikz / PGF
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\usetikzlibrary{shapes}
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\pgfplotsset{compat=1.14}
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%%% SIUnitX
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\sisetup{
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mode = text,
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%locale = FR,
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%list-final-separator = {\text{~et~}},
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%list-pair-separator = {\text{~et~}},
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%range-phrase = {\text{~à~}},
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retain-explicit-plus,
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forbid-literal-units,
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sticky-per,
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%inter-unit-product = {.},
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per-mode = power-positive-first,
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uncertainty-mode = separate,
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reset-text-series = false,
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}
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\SendSettingsToPgf
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\DeclareSIUnit\met{met}
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\DeclareSIUnit\gon{gon}
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\DeclareSIUnit\bar{bar}
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\DeclareSIUnit\psi{psi}
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\DeclareSIUnit\deg{deg}
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%%% Arcs
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\DeclareFontFamily{OMX}{yhex}{}
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\DeclareFontShape{OMX}{yhex}{m}{n}{<->yhcmex10}{}
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\DeclareSymbolFont{yhlargesymbols}{OMX}{yhex}{m}{n}
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\DeclareMathAccent{\wideparen}{\mathord}{yhlargesymbols}{"F3}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% Mise en forme
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\@ifclassloaded{beamer}{}{
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\geometry{
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a4paper,
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total={16cm, 24cm}
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}
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}
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\RequirePackage[sfdefault]{inter}
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%\setmainfont{Inter}
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%\setsansfont{Inter}
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\setmathfont[mathrm=sym]{Fira Math}
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\setmonofont[Ligatures=TeX]{Fira Code}
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\definecolor{ENSblue}{RGB}{0,119,139}
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\definecolor{ultralightgray}{gray}{.95}
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%\@ifclassloaded{letter}{}{
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% \renewcommand\thesection{\Roman{section}}
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% \renewcommand\thesubsection{\thesection.\arabic{subsection}}
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% \renewcommand\thesubsubsection{\thesubsection.\arabic{subsubsection}}
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%}
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\@ifclassloaded{beamer}{}{
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\hypersetup{
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citecolor=ENSblue,
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filecolor=ENSblue,
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colorlinks=true,
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linkcolor=ENSblue,
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urlcolor=ENSblue
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}
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\setlist[itemize]{nosep}
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}
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\setcounter{secnumdepth}{3}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% Fonctions pgfplots
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\makeatletter
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\pgfmathdeclarefunction{erf}{1}{%
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\begingroup
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\pgfmathparse{#1 > 0 ? 1 : -1}%
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\edef\sign{\pgfmathresult}%
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\pgfmathparse{abs(#1)}%
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\edef\x{\pgfmathresult}%
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\pgfmathparse{1/(1+0.3275911*\x)}%
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\edef\t{\pgfmathresult}%
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\pgfmathparse{%
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1 - (((((1.061405429*\t -1.453152027)*\t) + 1.421413741)*\t
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-0.284496736)*\t + 0.254829592)*\t*exp(-(\x*\x))}%
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\edef\y{\pgfmathresult}%
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\pgfmathparse{(\sign)*\y}%
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\pgfmath@smuggleone\pgfmathresult%
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\endgroup
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}
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\makeatother
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111
main.tex
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111
main.tex
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\documentclass{article}
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\usepackage{cours}
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\usepackage{lipsum}
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\title{\bfseries Cours}
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\author{Edgar P. Burkhart}
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\begin{document}
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\maketitle
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\tableofcontents
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\section{AH}
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\subsection{Ah}
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\subsubsection{ah}
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\paragraph{Paragraphe §1} \lipsum[1]{} On a donc $L=\SI{23.556}{\kg\per\square\m\s}$, soit \SI{+3.14e2}{\newton\meter\per\watt} de \ce{CO2}, comme démontré en \autoref{eq:1} (Cf \autoref{fig:case}).
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\begin{equation}
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\int\sum x^n\sin y-1\label{eq:1}
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\end{equation}
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\begin{lstlisting}[language=python]
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def f(x, n, y):
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if x>=0:
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return int(sum(x**n*sin(y)))-1
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return 0
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\end{lstlisting}
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\begin{figure}
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\centering
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\begin{subfigure}{\linewidth}
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\centering
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\begin{tikzpicture}[scale=2,
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cote/.style={|<->|, gray},
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mesh/.style={dashed, gray},
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]
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\fill[blue!20] (0,0) rectangle (1,0.4);
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\fill[blue!20] (1.05,0.2) rectangle (2.55,0) rectangle (6,0.1);
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\draw (0,0) node[below left]{0} -- (1,0) node[below left]{1} -- (1,0.4) node[below left]{5} -- (1.05,0.4) node[below right]{6} -- (1.05,0) node[below right]{2} -- (6,0) node[below right]{3} -- (6,0.4) node[right]{7} -- (6,0.6) node[above right]{11} -- (1.05,0.6) node[above right]{10} -- (1,0.6) node[above left]{9} -- (0,0.6) node[above left]{8} -- (0,0.4) node[left]{4} -- cycle;
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\draw[mesh] (0,0.4) -- (1,0.4) -- (1,0.6);
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\draw[mesh] (6,0.4) -- (1.05,0.4) -- (1.05,0.6);
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\draw[cote] (0,-0.35) -- ++(1,0) node[midway, below]{\SI{1}{\m}};
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\draw[gray, |-|] (1,-0.35) -- ++(0.05,0) node[midway, below]{\SI{5}{\cm}};
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\draw[cote] (1.05,-0.35) -- ++(1.5,0) node[midway, below]{\SI{1.5}{\m}};
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\draw[cote] (0,-0.25) -- ++(6,0) node[midway, below]{\SI{6}{\m}};
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\draw[cote] (0.3,0) -- ++(0,.4) node[midway, left]{$h_0$} node[midway, right]{\SI{40}{\cm}};
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\draw[cote] (2,0) -- ++(0,.2) node[midway, left]{\SI{20}{\cm}};
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\draw[cote] (4,0) -- ++(0,.1) node[midway, above left]{\SI{10}{\cm}};
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\draw[cote] (-0.25,0) -- ++(0,.6) node[midway, left]{\SI{60}{\cm}};
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\end{tikzpicture}
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\caption{Initial configuration.}\label{fig:dbd}
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\end{subfigure}
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\begin{subfigure}{\linewidth}
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\centering
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\begin{tikzpicture}[scale=2,
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cote/.style={|<->|, gray},
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mesh/.style={dashed, gray},
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]
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\fill[blue!20] (0,0) rectangle (1,0.6);
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\fill[blue!20] (1.01,0.2) rectangle (2.51,0) rectangle (6,0.1);
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\draw (0,0) node[below left]{0} -- (1,0) node[below left]{1} -- (1,0.6) node[below left]{5} -- (1.01,0.6) node[below right]{6} -- (1.01,0) node[below right]{2} -- (6,0) node[below right]{3} -- (6,0.6) node[right]{7} -- (6,0.8) node[above right]{11} -- (1.01,0.8) node[above right]{10} -- (1,0.8) node[above left]{9} -- (0,0.8) node[above left]{8} -- (0,0.6) node[left]{4} -- cycle;
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\draw[mesh] (0,0.6) -- (1,0.6) -- (1,0.8);
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\draw[mesh] (6,0.6) -- (1.01,0.6) -- (1.01,0.8);
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\draw[cote] (0,-0.35) -- ++(1,0) node[midway, below]{\SI{1}{\m}};
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\draw[gray, |-|] (1,-0.35) -- ++(0.01,0) node[midway, below]{\SI{1}{\cm}};
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||||||
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\draw[cote] (1.01,-0.35) -- ++(1.5,0) node[midway, below]{\SI{1.5}{\m}};
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\draw[cote] (0,-0.25) -- ++(6,0) node[midway, below]{\SI{6}{\m}};
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\draw[cote] (0.3,0) -- ++(0,.6) node[midway, left]{$h_0$} node[midway, right]{\SI{60}{\cm}};
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\draw[cote] (2,0) -- ++(0,.2) node[midway, left]{\SI{20}{\cm}};
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\draw[cote] (4,0) -- ++(0,.1) node[midway, above left]{\SI{10}{\cm}};
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\draw[cote] (-0.25,0) -- ++(0,.8) node[midway, left]{\SI{80}{\cm}};
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\end{tikzpicture}
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\caption{Adjusted configuration.}\label{fig:dbda}
|
||||||
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\end{subfigure}
|
||||||
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\caption{Studied case.}\label{fig:case}
|
||||||
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\end{figure}
|
||||||
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|
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$$\scriptsize
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||||||
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\begin{bmatrix}
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||||||
|
\ddot q_1 & sin(q_2)^2\ddot q_1 + \frac{1}{2}(\dot q_2\dot q_1 sin(2q_2)+q_1 sin(2q_2)\dot q_2) & cos(q_2) \ddot q_2- \dot q_2^2 sin(q_2) & 0 & 0 & \dot q_1 & 0 & tanh(1000 \dot q_1) & 0 \\
|
||||||
|
0 &
|
||||||
|
- \frac{1}{2} \dot q_1^2 sin(2 q_2) &
|
||||||
|
cos(q_2) \ddot q_1 &
|
||||||
|
\ddot q_2 & -sin(q_2) &
|
||||||
|
0 &
|
||||||
|
\dot q_2 &
|
||||||
|
0 &
|
||||||
|
tanh(1000 \dot q_2)
|
||||||
|
\end{bmatrix}
|
||||||
|
$$
|
||||||
|
|
||||||
|
$$
|
||||||
|
\text{GridSWAN}=\begin{bmatrix}
|
||||||
|
x_{11} & x_{12} & \dots & x_{1m} & y_{11} & y_{12} & \dots & y_{1m} \\
|
||||||
|
x_{21} & x_{22} & \dots & x_{2m} & y_{21} & y_{22} & \dots & y_{2m} \\
|
||||||
|
\dots & & & & & & & \dots \\
|
||||||
|
x_{n1} & x_{n2} & \dots & x_{nm} & y_{n1} & y_{n2} & \dots & y_{nm} \\
|
||||||
|
\end{bmatrix}
|
||||||
|
$$
|
||||||
|
$$
|
||||||
|
\text{BathySWAN}=\begin{bmatrix}
|
||||||
|
z_{11} & z_{12} & \dots & z_{1m} \\
|
||||||
|
z_{21} & z_{22} & \dots & z_{2m} \\
|
||||||
|
\dots & & & \dots \\
|
||||||
|
z_{n1} & z_{n2} & \dots & z_{nm} \\
|
||||||
|
\end{bmatrix}
|
||||||
|
$$
|
||||||
|
|
||||||
|
\listoffigures
|
||||||
|
\end{document}
|
||||||
Reference in a new issue