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Diffstat (limited to 'macros.tex')
| -rwxr-xr-x | macros.tex | 97 |
1 files changed, 97 insertions, 0 deletions
diff --git a/macros.tex b/macros.tex new file mode 100755 index 0000000..fe65124 --- /dev/null +++ b/macros.tex @@ -0,0 +1,97 @@ +\definecolor{darkgreen}{rgb}{0,.5,0} + +\renewcommand{\t}{\mathsf T} +\newcommand{\conv}{*} +\newcommand{\adj}[1]{#1^*} +\newcommand{\bigo}[1]{\mathcal O(#1)} +\newcommand{\commut}[2]{[#1, #2]} +\newcommand{\correlation}[1]{\left< #1 \right>} +\newcommand{\dimensionless}[1]{\mathrm{#1}} +\newcommand{\dsurf}{\mathrm d \sigma} +\newcommand{\dummy}{{\,\cdot\,}} +% \newcommand{\dummy}{\mathord{\color{black!33}\bullet}}% +\newcommand{\eip}[2]{\left\langle\left\langle{#1,#2}\right\rangle\right\rangle} +\newcommand{\enorm}[1]{|||#1|||} +\newcommand{\expect}[0]{\mathbf{E}} +\newcommand{\var}[0]{\mathbf{V}} +\newcommand{\filtration}[0]{\mathcal} +\newcommand{\grad}[0]{\nabla} +\newcommand{\hermitef}[1]{\mathbf #1} +\newcommand{\hermite}[1]{\mathbf{#1}} +\newcommand{\iip}[2]{(\!(#1, #2)\!)} +\newcommand{\inter}{\, \cap \,} +\newcommand{\kron}[2]{\delta_{#1,#2}} +\newcommand{\laplacian}{\Delta} +\newcommand{\littleo}[1]{o(#1)} +\newcommand{\lploc}[2]{L_{loc}^{#1}\left(#2\right)} +\newcommand{\mat}[1]{\boldsymbol{\mathbf #1}} +\newcommand{\nat}[0]{\mathbf{N}} +\newcommand{\op}[0]{\mathcal} +\newcommand{\operator}[0]{\mathcal} +\newcommand{\orth}[1]{#1^\perp} +\newcommand{\poly}[1]{\mathbf{P}_{#1}} +\newcommand{\proba}[0]{\mathbf{P}} +% \newcommand{\proj}[2]{\pi\left(#1,#2\right)} +\newcommand{\proj}[2]{\Pi_d #1} +\newcommand{\real}[0]{\mathbf{R}} +\newcommand{\red}[1]{\textcolor{darkred}{#1}} +\newcommand{\schwartz}[1]{S (#1)} +\newcommand{\seq}[4]{{\left\{#1_{#2}\right\}}_{#2=#3}^{#4}} +\newcommand{\smooth}[1]{C^\infty(#1)} +\newcommand{\test}[1]{C^\infty_c (#1)} +\newcommand{\torus}[0]{\mathbf{T}} +\newcommand{\vect}[1]{\boldsymbol{\mathbf #1}} +\renewcommand{\det}[1]{\left| #1 \right|} +\renewcommand{\d}[0]{\mathrm{d}} +% \renewcommand{\alert}[1]{\textcolor{darkgreen}{#1}} + +% Cahn-Hilliard +\newcommand{\energyA}[0]{\frac{1}{\varepsilon}} +\newcommand{\energyB}[0]{\varepsilon} + +\DeclareMathOperator{\trace}{tr} +\DeclareMathOperator{\e}{e} +\DeclareMathOperator{\support}{supp} +\DeclareMathOperator{\sign}{sign} +\DeclareMathOperator{\id}{id} +\DeclareMathOperator{\Span}{span} +\DeclareMathOperator{\gateau}{Grad} +\DeclareMathOperator*{\argmin}{arg\,min} +\DeclareMathOperator*{\argmax}{arg\,max} + +\DeclareDocumentCommand\abs{s m} {\IfBooleanTF{#1}{|#2|}{\left|#2\right|}} +\DeclareDocumentCommand\cont{o m o} {C\IfNoValueF{#1}{^{#1}}(#2\IfNoValueF{#3}{;#3})} +\DeclareDocumentCommand\contc{o m o} {C_c\IfNoValueF{#1}{^{#1}}(#2\IfNoValueF{#3}{;#3})} +\DeclareDocumentCommand\sobolev{m m o} {H^{#1}(#2 \IfNoValueF{#3}{,#3})} +\DeclareDocumentCommand\lp{m m o} {L^{#1}\left(#2 \IfNoValueF{#3}{,#3}\right)} +\DeclareDocumentCommand\norm{s m o} {\IfBooleanTF{#1}{\|#2\|}{\left\|#2\right\|}\IfNoValueF{#3}{_{#3}}} +\DeclareDocumentCommand\seminorm{s m o} {\IfBooleanTF{#1}{\|#2\|}{\left\|#2\right\|}\IfNoValueF{#3}{_{#3}}} +\DeclareDocumentCommand\ip{m m o o} {\left\langle{#1,#2}\right\rangle\IfNoValueF{#3}{_{#3 \IfNoValueF{#4}{,#4}}}} +\DeclareDocumentCommand\dup{m m o} {\left\langle{#1,#2}\right\rangle\IfNoValueF{#3}{_{#3', #3}}} +\DeclareDocumentCommand\gaussian{O{0} O{I}} {g_{#1, #2}} + +% Derivative +\makeatletter +\DeclareDocumentCommand \derivative{s m o m}{% + \def\@der{\IfBooleanTF{#1}{\mathrm{d}}{\partial}} + \def\@default{% + \mathchoice{% + \frac{% + \@der\ifnum\pdfstrcmp{#2}{1}=0\else^{#2}\fi {\IfNoValueTF{#3}{}{#3}} + }{% + \@for\@token:={#4}\do{\@der \@token} + } + } {% + \@for\@token:={#4}\do{\@der_\@token} \IfNoValueTF{#3}{}{#3} + } {} {} + } + \IfBooleanTF{#1}{\IfNoValueTF{#3}{\@default}{% + #3% + \ifnum\pdfstrcmp{#2}{1}=0'\else% + \ifnum\pdfstrcmp{#2}{2}=0''\else% + \ifnum\pdfstrcmp{#2}{3}=0'''\else% + \ifnum\pdfstrcmp{#2}{4}=0^{(iv)}\else^{(#2)}\fi\fi\fi\fi + } + }{\@default} +} +\makeatother |