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root_notations.tex
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root_notations.tex
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\DeclareMathOperator{\ch}{ch}
\newcommand{\e}{\mathrm{e}}
\renewcommand{\i}{\mathrm{i}}
\renewcommand{\j}{\mathrm{j}} % racine troisième de l'unité
\newcommand{\R}{\mathbb{R}}
\newcommand{\Rp}{\R_+}
\newcommand{\Rm}{\R_-}
\renewcommand{\Re}{\R^\star}
\newcommand{\Rpe}{\Re_+}
%%% Ajout du re par Alain %%%
\renewcommand{\C}{\mathbb{C}}
\newcommand{\Ce}{\C^\star}
\newcommand{\K}{\mathbb{K}}
\newcommand{\Ke}{\K^\star}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Ne}{\N^\star}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\A}{\mathbb{A}} % Nombres algébriques
\newcommand{\Premier}{\mathbb{P}} % Nombres premiers
\renewcommand{\d}{\, \mathrm{d}}
\newcommand{\norme}[1]{\Vert #1 \Vert}
%%% Ajout par Alain car definition manquante %%%
\newcommand{\Ninf}[1]{\Vert #1 \Vert_\infty}
% Complexes
% \DeclareMathOperator{\Reel}{\mathfrak{Re}}
% \DeclareMathOperator{\Imaginaire}{\mathfrak{Im}}
%%% Modifie par Alain car pb de compilation %%%
% \DeclareMathOperator{\Reel}{\mathscr{Re}}
\DeclareMathOperator{\Reel}{\mathrm{Re}}
\DeclareMathOperator{\Imaginaire}{\mathscr{Im}}
\newcommand{\ptnclegras}[1]{\textbf{#1}}
\newcommand{\ptnclecadre}[1]{\boxed{#1}}
% Algèbre
% \newcommand{\Gl}{\mathscr{G}\kern-0.16em\ell}
\newcommand{\Gl}{\mathrm{GL}}
\newcommand{\I}{\mathrm{I}}
\newcommand{\Id}{\mathrm{Id}}
\newcommand{\M}{\mathscr{M}}
\newcommand{\Endo}{\mathscr{L}}
\newcommand{\Ortho}{\mathrm{O}}
\newcommand{\Sym}{\mathscr{S}}
% https://tex.stackexchange.com/questions/48/how-can-i-specify-a-long-list-of-math-operators
\newcommand{\DeclareMyOperator}[1]{%
\expandafter\DeclareMathOperator\csname #1\endcsname{#1}
}
\newcommand{\DeclareMathOperators}{\forcsvlist{\DeclareMyOperator}}
%%% Modifie par Alain : suppression de Tr, det dans la liste car conflit %%%
\DeclareMathOperators{Rg,Ker,Vect,Sp,com,Diag,Mat} % conflit entre physics et Tr
% Probas
\newcommand{\E}{\mathbf{E}}
\newcommand{\V}{\mathbf{V}}
\renewcommand{\P}{\mathbf{P}}
\newcommand{\indicatrice}{\mathbf{1}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%https://tex.stackexchange.com/questions/4216/how-to-typeset-correctly
% :=
%\newcommand*{\defeq}{\mathrel{\vcenter{\baselineskip0.5ex \lineskiplimit0pt
% \hbox{\scriptsize.}\hbox{\scriptsize.}}} =}
% =:
%\newcommand*{\defeqright}{=\mathrel{\vcenter{\baselineskip0.5ex \lineskiplimit0pt
% \hbox{\scriptsize.}\hbox{\scriptsize.}}}%
% }
\newcommand{\defeq}{\overset{\mathrm{\tiny def}}{=}}
\newcommand{\defeqright}{\defeq}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% https://tex.stackexchange.com/questions/349747/equivalence-of-sequence-sim-with-some-text-under
\newcommand{\isEquivTo}[1]{%
\mathpalette\isEquivToInner{#1}%
}
\newcommand{\isEquivToInner}[2]{%
\ifx#1\displaystyle
\underset{#2}{\sim}
\else
\sim_{#2}
\fi
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\interoo}[2]{\left]#1\,;#2\right[}
\newcommand{\interff}[2]{\left[#1\,;#2\right]}
\newcommand{\interof}[2]{\left]#1\,;#2\right]}
\newcommand{\interfo}[2]{\left[#1\,;#2\right[}
\newcommand{\interent}[2]{\llbracket #1\,; #2 \rrbracket}
%\newcommand{\intervalle}[4]{%
%\mathopen{#1}#2\,;#3\mathclose{#4}}
%\newcommand{\intervalleff}[2]{%
%\intervalle{[}{#1}{#2}{]}}
%\newcommand{\intervallefo}[2]{%
%\intervalle{[}{#1}{#2}{[}}
%\newcommand{\intervalleof}[2]{%
%\intervalle{]}{#1}{#2}{]}}
%\newcommand{\intervalleoo}[2]{%
%\intervalle{]}{#1}{#2}{[}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\Trsp}[1]{#1^\top}
\newcommand{\Inv}[1]{#1^{-1}}
\newcommand{\fact}[1]{#1\,!}
\newcommand{\chevron}[1]{\say{\,#1\,}}
\newcommand{\note}{\hbox{\scriptsize $\blacklozenge$\ }}
% A REVOIR %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\suite}[3]{(#1_#2)_{#3}}
% \newcommand{\somme}[2][x]{%#1_1+\cdots+#1_#2}
\newcommand{\convolution}[2]{#1 \ast #2}
\newcommand{\conjugue}[1]{\overline{#1}}
\newcommand{\module}[1]{\left| #1 \right|}
\DeclarePairedDelimiterX\ens[1]\lbrace\rbrace{\def\tq{\;\delimsize\vert\;}#1} % https://tex.stackexchange.com/questions/253077/how-do-you-create-a-set-in-latex
\newcommand{\fonctionligne}[3][f]{#1 \colon #2 \mapsto #3}
\newcommand{\fonctionens}[3][f]{#1 \colon #2 \rightarrow #3}
\newcommand{\fonction}[5][f]{
#1 \colon \begin{array}{>{\displaystyle}r @{} >{{}}c<{{}} @{} >{\displaystyle}l}
#2 &\longrightarrow& #3 \\[\medskipamount]
#4 &\longmapsto& #5
\end{array}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%
% \langle \rangle
\newcommand*{\limite}[4][]{\displaystyle\lim_{\substack{#2\to#3\\#1}}#4}
\newcommand{\faibletoile}[1]{
\xrightharpoonup[#1]{}^\star
}
% Suites remarquables
\newcommand{\Leg}{\mathrm{L}}
\newcommand{\Lag}{\mathrm{L}}
\newcommand{\Hilb}{\mathrm{H}}
\newcommand{\Hermite}{\mathrm{H}}
\newcommand{\Bern}{\mathrm{B}}
\newcommand{\Tcheby}{\mathrm{T}}
\newcommand{\Wallis}{\mathrm{W}}
\newcommand{\Cauchy}{\mathrm{C}}
\newcommand{\Gram}{\mathrm{G}}
\newcommand{\Bernstein}{\mathrm{B}}
\newcommand{\Vandermonde}{\mathrm{V}}
\newcommand{\Harmonique}{\mathrm{H}}
\newcommand{\scnums}[1]{\ifmmode\mathsmaller{\newstylenums{#1}}\else\textsmaller{\newstylenums{#1}}\fi} % https://comp.text.tex.narkive.com/idxlcygk/numerals-in-small-caps-font
\newcommand{\definir}[1]{\emph{#1}}