split macros
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@ -3,196 +3,16 @@
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\newcommand\gooditem{\item[{$\color{fg-green}\bullet$}]}
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\newcommand\gooditem{\item[{$\color{fg-green}\bullet$}]}
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\newcommand\baditem{\item[{$\color{fg-red}\bullet$}]}
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\newcommand\baditem{\item[{$\color{fg-red}\bullet$}]}
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% Functions with (optional) paranthesis
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% INPUT
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% 1: The function (like \exp, \sin etc.)
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% 1: starting pattern of files to input using the Input command. All other files are ignored
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% 2: The argument (optional)
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\newcommand\InputOnly[1]{\edef\inputOnlyFile{#1}}
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% If an argument is provided, it is wrapped in paranthesis.
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\edef\inputOnlyFile{all}
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\newcommand\CmdWithParenthesis[2]{
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\ifstrequal{#2}{\relax}{
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\newcommand\Input[1]{
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#1
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% yes this could surely be done in tex
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}{
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\directlua{
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#1\left(#2\right)
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if '\luaescapestring{\inputOnlyFile}' == 'all' or string.startswith('\luaescapestring{#1}', '\luaescapestring{\inputOnlyFile}') then
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tex.print("\\input{\luaescapestring{#1}}")
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end
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}
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}
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}
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}
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\newcommand\CmdInParenthesis[2]{
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\ifstrequal{#2}{\relax}{
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#1
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}{
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\left(#1 #2\right)
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}
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}
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% COMMON SYMBOLS WITH SUPER/SUBSCRIPTS, VECTOR ARROWS ETC.
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% \def\laplace{\Delta} % Laplace operator
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\newcommand\laplace{\bigtriangleup} % Laplace operator
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% symbols
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\newcommand\Grad{\vec{\nabla}}
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\newcommand\Div {\vec{\nabla} \cdot}
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\newcommand\Rot {\vec{\nabla} \times}
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% symbols with parens
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\newcommand\GradS[1][\relax]{\CmdInParenthesis{\Grad}{#1}}
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\newcommand\DivS [1][\relax]{\CmdInParenthesis{\Div} {#1}}
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\newcommand\RotS [1][\relax]{\CmdInParenthesis{\Rot} {#1}}
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% text with parens
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\newcommand\GradT[1][\relax]{\CmdWithParenthesis{\text{grad}\,}{#1}}
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\newcommand\DivT[1][\relax] {\CmdWithParenthesis{\text{div}\,} {#1}}
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\newcommand\RotT[1][\relax] {\CmdWithParenthesis{\text{rot}\,} {#1}}
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\newcommand\kB{k_\text{B}} % boltzmann
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\newcommand\NA{N_\text{A}} % avogadro
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\newcommand\EFermi{E_\text{F}} % fermi energy
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\newcommand\Efermi{E_\text{F}} % fermi energy
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\newcommand\Evalence{E_\text{v}} % val vand energy
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\newcommand\Econd{E_\text{c}} % cond. band nergy
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\newcommand\Egap{E_\text{gap}} % band gap energy
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\newcommand\Evac{E_\text{vac}} % vacuum energy
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\newcommand\masse{m_\text{e}} % electron mass
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\newcommand\Four{\mathcal{F}} % Fourier transform
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\newcommand\Lebesgue{\mathcal{L}} % Lebesgue
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% \newcommand\O{\mathcal{O}} % order
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\newcommand\PhiB{\Phi_\text{B}} % mag. flux
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\newcommand\PhiE{\Phi_\text{E}} % electric flux
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\newcommand\nreal{n^{\prime}} % refraction real part
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\newcommand\ncomplex{n^{\prime\prime}} % refraction index complex part
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\newcommand\I{i} % complex/imaginary unit
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\newcommand\crit{\text{crit}} % crit (for subscripts)
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\newcommand\muecp{\overline{\mu}} % electrochemical potential
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% \newcommand\pH{\text{pH}} % pH, already defined by one of the chem packages
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\newcommand\rfactor{\text{rf}} % rf roughness_factor
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% SYMBOLS
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\newcommand\R{\mathbb{R}}
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\newcommand\C{\mathbb{C}}
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\newcommand\Z{\mathbb{Z}}
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\newcommand\N{\mathbb{N}}
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\newcommand\id{\mathbb{1}}
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% caligraphic
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\newcommand\E{\mathcal{E}} % electric field
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% upright, vector
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\newcommand\txA{\text{A}} \newcommand\vecA{\vec{A}}
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\newcommand\txB{\text{B}} \newcommand\vecB{\vec{B}}
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\newcommand\txC{\text{C}} \newcommand\vecC{\vec{C}}
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\newcommand\txD{\text{D}} \newcommand\vecD{\vec{D}}
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\newcommand\txE{\text{E}} \newcommand\vecE{\vec{E}}
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\newcommand\txF{\text{F}} \newcommand\vecF{\vec{F}}
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\newcommand\txG{\text{G}} \newcommand\vecG{\vec{G}}
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\newcommand\txH{\text{H}} \newcommand\vecH{\vec{H}}
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\newcommand\txI{\text{I}} \newcommand\vecI{\vec{I}}
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\newcommand\txJ{\text{J}} \newcommand\vecJ{\vec{J}}
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\newcommand\txK{\text{K}} \newcommand\vecK{\vec{K}}
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\newcommand\txL{\text{L}} \newcommand\vecL{\vec{L}}
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\newcommand\txM{\text{M}} \newcommand\vecM{\vec{M}}
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\newcommand\txN{\text{N}} \newcommand\vecN{\vec{N}}
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\newcommand\txO{\text{O}} \newcommand\vecO{\vec{O}}
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\newcommand\txP{\text{P}} \newcommand\vecP{\vec{P}}
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\newcommand\txQ{\text{Q}} \newcommand\vecQ{\vec{Q}}
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\newcommand\txR{\text{R}} \newcommand\vecR{\vec{R}}
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\newcommand\txS{\text{S}} \newcommand\vecS{\vec{S}}
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\newcommand\txT{\text{T}} \newcommand\vecT{\vec{T}}
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\newcommand\txU{\text{U}} \newcommand\vecU{\vec{U}}
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\newcommand\txV{\text{V}} \newcommand\vecV{\vec{V}}
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\newcommand\txW{\text{W}} \newcommand\vecW{\vec{W}}
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\newcommand\txX{\text{X}} \newcommand\vecX{\vec{X}}
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\newcommand\txY{\text{Y}} \newcommand\vecY{\vec{Y}}
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\newcommand\txZ{\text{Z}} \newcommand\vecZ{\vec{Z}}
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\newcommand\txa{\text{a}} \newcommand\veca{\vec{a}}
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\newcommand\txb{\text{b}} \newcommand\vecb{\vec{b}}
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\newcommand\txc{\text{c}} \newcommand\vecc{\vec{c}}
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\newcommand\txd{\text{d}} \newcommand\vecd{\vec{d}}
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\newcommand\txe{\text{e}} \newcommand\vece{\vec{e}}
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\newcommand\txf{\text{f}} \newcommand\vecf{\vec{f}}
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\newcommand\txg{\text{g}} \newcommand\vecg{\vec{g}}
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\newcommand\txh{\text{h}} \newcommand\vech{\vec{h}}
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\newcommand\txi{\text{i}} \newcommand\veci{\vec{i}}
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\newcommand\txj{\text{j}} \newcommand\vecj{\vec{j}}
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\newcommand\txk{\text{k}} \newcommand\veck{\vec{k}}
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\newcommand\txl{\text{l}} \newcommand\vecl{\vec{l}}
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\newcommand\txm{\text{m}} \newcommand\vecm{\vec{m}}
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\newcommand\txn{\text{n}} \newcommand\vecn{\vec{n}}
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\newcommand\txo{\text{o}} \newcommand\veco{\vec{o}}
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\newcommand\txp{\text{p}} \newcommand\vecp{\vec{p}}
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\newcommand\txq{\text{q}} \newcommand\vecq{\vec{q}}
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\newcommand\txr{\text{r}} \newcommand\vecr{\vec{r}}
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\newcommand\txs{\text{s}} \newcommand\vecs{\vec{s}}
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\newcommand\txt{\text{t}} \newcommand\vect{\vec{t}}
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\newcommand\txu{\text{u}} \newcommand\vecu{\vec{u}}
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\newcommand\txv{\text{v}} \newcommand\vecv{\vec{v}}
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\newcommand\txw{\text{w}} \newcommand\vecw{\vec{w}}
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\newcommand\txx{\text{x}} \newcommand\vecx{\vec{x}}
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\newcommand\txy{\text{y}} \newcommand\vecy{\vec{y}}
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\newcommand\txz{\text{z}} \newcommand\vecz{\vec{z}}
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% SPACES
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\newcommand\sdots{\,\dots\,}
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\newcommand\qdots{\quad\dots\quad}
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\newcommand\qRarrow{\quad\Rightarrow\quad}
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% ANNOTATIONS
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% put an explanation above an equal sign
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% [1]: equality sign (or anything else)
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% 2: text (not in math mode!)
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\newcommand{\explUnderEq}[2][=]{%
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\underset{\substack{\uparrow\\\mathrlap{\text{\hspace{-1em}#2}}}}{#1}}
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\newcommand{\explOverEq}[2][=]{%
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\overset{\substack{\mathrlap{\text{\hspace{-1em}#2}}\\\downarrow}}{#1}}
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\newcommand{\eqnote}[1]{
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\text{\color{fg2}#1}
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}
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% DELIMITERS
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% not using DeclarePairedDelmiter to always get scaling
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\newcommand{\abs}[1]{\left\lvert #1 \right\rvert}
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\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
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\newcommand{\ceil}[1]{\left\lceil#1\right\rceil}
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% OPERATORS
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% * places subset under the word instead of next to it
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\DeclareMathOperator{\e}{e}
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\def\T{\text{T}} % transposed
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\DeclareMathOperator{\sgn}{sgn}
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\DeclareMathOperator{\tr}{tr}
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\DeclareMathOperator{\const}{const}
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\DeclareMathOperator{\erf}{erf}
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\DeclareMathOperator{\erfc}{erfc}
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\DeclareMathOperator{\cov}{cov}
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\DeclareMathOperator*{\argmin}{arg\,min}
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\DeclareMathOperator*{\argmax}{arg\,max}
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% \DeclareMathOperator{\div}{div}
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% \DeclareMathOperator{\grad}{grad}
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% \DeclareMathOperator{\rot}{rot}
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% \DeclareMathOperator{\arcsin}{arcsin}
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% \DeclareMathOperator{\arccos}{arccos}
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% \DeclareMathOperator{\arctan}{arctan}
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\DeclareMathOperator{\arccot}{arccot}
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\DeclareMathOperator{\arsinh}{arsinh}
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\DeclareMathOperator{\arcosh}{arcosh}
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\DeclareMathOperator{\artanh}{artanh}
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\DeclareMathOperator{\arcoth}{arcoth}
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% diff, for integrals and stuff
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% \DeclareMathOperator{\dd}{d}
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\renewcommand*\d{\mathop{}\!\mathrm{d}}
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% times 10^{x}
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\newcommand\xE[1]{\cdot 10^{#1}}
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\newcommand\Exp[1]{\CmdWithParenthesis{\exp}{#1}}
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\newcommand\Sin[1]{\CmdWithParenthesis{\sin}{#1}}
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\newcommand\Cos[1]{\CmdWithParenthesis{\cos}{#1}}
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\newcommand\Ln[1]{\CmdWithParenthesis{\ln}{#1}}
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\newcommand\Log[1]{\CmdWithParenthesis{\log}{#1}}
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\newcommand\Order[1]{\CmdWithParenthesis{\mathcal{O}}{#1}}
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% VECTOR, MATRIX and TENSOR
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% use vecAr to force an arrow
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\NewCommandCopy{\vecAr}{\vec}
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% extra {} assure they can b directly used after _
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%% arrow/underline
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\newcommand\mat[1]{{\ensuremath{\underline{#1}}}}
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\renewcommand\vec[1]{{\ensuremath{\vecAr{#1}}}}
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\newcommand\ten[1]{{\ensuremath{[#1]}}}
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\newcommand\complex[1]{{\ensuremath{\tilde{#1}}}}
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%% bold
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% \newcommand\mat[1]{{\ensuremath{\bm{#1}}}}
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% \renewcommand\vec[1]{{\ensuremath{\bm{#1}}}}
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195
src/util/math-macros.tex
Normal file
195
src/util/math-macros.tex
Normal file
@ -0,0 +1,195 @@
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% Functions with (optional) paranthesis
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% 1: The function (like \exp, \sin etc.)
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% 2: The argument (optional)
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% If an argument is provided, it is wrapped in paranthesis.
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\newcommand\CmdWithParenthesis[2]{
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\ifstrequal{#2}{\relax}{
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#1
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}{
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#1\left(#2\right)
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}
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}
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\newcommand\CmdInParenthesis[2]{
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\ifstrequal{#2}{\relax}{
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#1
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}{
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\left(#1 #2\right)
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}
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}
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% COMMON SYMBOLS WITH SUPER/SUBSCRIPTS, VECTOR ARROWS ETC.
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% \def\laplace{\Delta} % Laplace operator
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\newcommand\laplace{\bigtriangleup} % Laplace operator
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% symbols
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\newcommand\Grad{\vec{\nabla}}
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\newcommand\Div {\vec{\nabla} \cdot}
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\newcommand\Rot {\vec{\nabla} \times}
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% symbols with parens
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\newcommand\GradS[1][\relax]{\CmdInParenthesis{\Grad}{#1}}
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\newcommand\DivS [1][\relax]{\CmdInParenthesis{\Div} {#1}}
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\newcommand\RotS [1][\relax]{\CmdInParenthesis{\Rot} {#1}}
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% text with parens
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\newcommand\GradT[1][\relax]{\CmdWithParenthesis{\text{grad}\,}{#1}}
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\newcommand\DivT[1][\relax] {\CmdWithParenthesis{\text{div}\,} {#1}}
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\newcommand\RotT[1][\relax] {\CmdWithParenthesis{\text{rot}\,} {#1}}
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\newcommand\kB{k_\text{B}} % boltzmann
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\newcommand\NA{N_\text{A}} % avogadro
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\newcommand\EFermi{E_\text{F}} % fermi energy
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\newcommand\Efermi{E_\text{F}} % fermi energy
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\newcommand\Evalence{E_\text{v}} % val vand energy
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\newcommand\Econd{E_\text{c}} % cond. band nergy
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\newcommand\Egap{E_\text{gap}} % band gap energy
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\newcommand\Evac{E_\text{vac}} % vacuum energy
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\newcommand\masse{m_\text{e}} % electron mass
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\newcommand\Four{\mathcal{F}} % Fourier transform
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\newcommand\Lebesgue{\mathcal{L}} % Lebesgue
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% \newcommand\O{\mathcal{O}} % order
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\newcommand\PhiB{\Phi_\text{B}} % mag. flux
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\newcommand\PhiE{\Phi_\text{E}} % electric flux
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\newcommand\nreal{n^{\prime}} % refraction real part
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\newcommand\ncomplex{n^{\prime\prime}} % refraction index complex part
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\newcommand\I{i} % complex/imaginary unit
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\newcommand\crit{\text{crit}} % crit (for subscripts)
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\newcommand\muecp{\overline{\mu}} % electrochemical potential
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% \newcommand\pH{\text{pH}} % pH, already defined by one of the chem packages
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\newcommand\rfactor{\text{rf}} % rf roughness_factor
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% SYMBOLS
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\newcommand\R{\mathbb{R}}
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\newcommand\C{\mathbb{C}}
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\newcommand\Z{\mathbb{Z}}
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\newcommand\N{\mathbb{N}}
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\newcommand\id{\mathbb{1}}
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% caligraphic
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\newcommand\E{\mathcal{E}} % electric field
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% upright, vector
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\newcommand\txA{\text{A}} \newcommand\vecA{\vec{A}} \newcommand\matA{\mat{A}} \newcommand\tenA{\ten{A}}
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\newcommand\txB{\text{B}} \newcommand\vecB{\vec{B}} \newcommand\matB{\mat{B}} \newcommand\tenB{\ten{B}}
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\newcommand\txC{\text{C}} \newcommand\vecC{\vec{C}} \newcommand\matC{\mat{C}} \newcommand\tenC{\ten{C}}
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\newcommand\txD{\text{D}} \newcommand\vecD{\vec{D}} \newcommand\matD{\mat{D}} \newcommand\tenD{\ten{D}}
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\newcommand\txE{\text{E}} \newcommand\vecE{\vec{E}} \newcommand\matE{\mat{E}} \newcommand\tenE{\ten{E}}
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\newcommand\txF{\text{F}} \newcommand\vecF{\vec{F}} \newcommand\matF{\mat{F}} \newcommand\tenF{\ten{F}}
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\newcommand\txG{\text{G}} \newcommand\vecG{\vec{G}} \newcommand\matG{\mat{G}} \newcommand\tenG{\ten{G}}
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\newcommand\txH{\text{H}} \newcommand\vecH{\vec{H}} \newcommand\matH{\mat{H}} \newcommand\tenH{\ten{H}}
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\newcommand\txI{\text{I}} \newcommand\vecI{\vec{I}} \newcommand\matI{\mat{I}} \newcommand\tenI{\ten{I}}
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\newcommand\txJ{\text{J}} \newcommand\vecJ{\vec{J}} \newcommand\matJ{\mat{J}} \newcommand\tenJ{\ten{J}}
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\newcommand\txK{\text{K}} \newcommand\vecK{\vec{K}} \newcommand\matK{\mat{K}} \newcommand\tenK{\ten{K}}
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\newcommand\txL{\text{L}} \newcommand\vecL{\vec{L}} \newcommand\matL{\mat{L}} \newcommand\tenL{\ten{L}}
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\newcommand\txM{\text{M}} \newcommand\vecM{\vec{M}} \newcommand\matM{\mat{M}} \newcommand\tenM{\ten{M}}
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\newcommand\txN{\text{N}} \newcommand\vecN{\vec{N}} \newcommand\matN{\mat{N}} \newcommand\tenN{\ten{N}}
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\newcommand\txO{\text{O}} \newcommand\vecO{\vec{O}} \newcommand\matO{\mat{O}} \newcommand\tenO{\ten{O}}
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\newcommand\txP{\text{P}} \newcommand\vecP{\vec{P}} \newcommand\matP{\mat{P}} \newcommand\tenP{\ten{P}}
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\newcommand\txQ{\text{Q}} \newcommand\vecQ{\vec{Q}} \newcommand\matQ{\mat{Q}} \newcommand\tenQ{\ten{Q}}
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\newcommand\txR{\text{R}} \newcommand\vecR{\vec{R}} \newcommand\matR{\mat{R}} \newcommand\tenR{\ten{R}}
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\newcommand\txS{\text{S}} \newcommand\vecS{\vec{S}} \newcommand\matS{\mat{S}} \newcommand\tenS{\ten{S}}
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\newcommand\txT{\text{T}} \newcommand\vecT{\vec{T}} \newcommand\matT{\mat{T}} \newcommand\tenT{\ten{T}}
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\newcommand\txU{\text{U}} \newcommand\vecU{\vec{U}} \newcommand\matU{\mat{U}} \newcommand\tenU{\ten{U}}
|
||||||
|
\newcommand\txV{\text{V}} \newcommand\vecV{\vec{V}} \newcommand\matV{\mat{V}} \newcommand\tenV{\ten{V}}
|
||||||
|
\newcommand\txW{\text{W}} \newcommand\vecW{\vec{W}} \newcommand\matW{\mat{W}} \newcommand\tenW{\ten{W}}
|
||||||
|
\newcommand\txX{\text{X}} \newcommand\vecX{\vec{X}} \newcommand\matX{\mat{X}} \newcommand\tenX{\ten{X}}
|
||||||
|
\newcommand\txY{\text{Y}} \newcommand\vecY{\vec{Y}} \newcommand\matY{\mat{Y}} \newcommand\tenY{\ten{Y}}
|
||||||
|
\newcommand\txZ{\text{Z}} \newcommand\vecZ{\vec{Z}} \newcommand\matZ{\mat{Z}} \newcommand\tenZ{\ten{Z}}
|
||||||
|
|
||||||
|
\newcommand\txa{\text{a}} \newcommand\veca{\vec{a}} \newcommand\mata{\mat{a}} \newcommand\tena{\ten{a}}
|
||||||
|
\newcommand\txb{\text{b}} \newcommand\vecb{\vec{b}} \newcommand\matb{\mat{b}} \newcommand\tenb{\ten{b}}
|
||||||
|
\newcommand\txc{\text{c}} \newcommand\vecc{\vec{c}} \newcommand\matc{\mat{c}} \newcommand\tenc{\ten{c}}
|
||||||
|
\newcommand\txd{\text{d}} \newcommand\vecd{\vec{d}} \newcommand\matd{\mat{d}} \newcommand\tend{\ten{d}}
|
||||||
|
\newcommand\txe{\text{e}} \newcommand\vece{\vec{e}} \newcommand\mate{\mat{e}} \newcommand\tene{\ten{e}}
|
||||||
|
\newcommand\txf{\text{f}} \newcommand\vecf{\vec{f}} \newcommand\matf{\mat{f}} \newcommand\tenf{\ten{f}}
|
||||||
|
\newcommand\txg{\text{g}} \newcommand\vecg{\vec{g}} \newcommand\matg{\mat{g}} \newcommand\teng{\ten{g}}
|
||||||
|
\newcommand\txh{\text{h}} \newcommand\vech{\vec{h}} \newcommand\mtxh{\mat{h}} \newcommand\tenh{\ten{h}}
|
||||||
|
\newcommand\txi{\text{i}} \newcommand\veci{\vec{i}} \newcommand\mati{\mat{i}} \newcommand\teni{\ten{i}}
|
||||||
|
\newcommand\txj{\text{j}} \newcommand\vecj{\vec{j}} \newcommand\matj{\mat{j}} \newcommand\tenj{\ten{j}}
|
||||||
|
\newcommand\txk{\text{k}} \newcommand\veck{\vec{k}} \newcommand\matk{\mat{k}} \newcommand\tenk{\ten{k}}
|
||||||
|
\newcommand\txl{\text{l}} \newcommand\vecl{\vec{l}} \newcommand\matl{\mat{l}} \newcommand\tenl{\ten{l}}
|
||||||
|
\newcommand\txm{\text{m}} \newcommand\vecm{\vec{m}} \newcommand\matm{\mat{m}} \newcommand\tenm{\ten{m}}
|
||||||
|
\newcommand\txn{\text{n}} \newcommand\vecn{\vec{n}} \newcommand\matn{\mat{n}} \newcommand\tenn{\ten{n}}
|
||||||
|
\newcommand\txo{\text{o}} \newcommand\veco{\vec{o}} \newcommand\mato{\mat{o}} \newcommand\teno{\ten{o}}
|
||||||
|
\newcommand\txp{\text{p}} \newcommand\vecp{\vec{p}} \newcommand\matp{\mat{p}} \newcommand\tenp{\ten{p}}
|
||||||
|
\newcommand\txq{\text{q}} \newcommand\vecq{\vec{q}} \newcommand\matq{\mat{q}} \newcommand\tenq{\ten{q}}
|
||||||
|
\newcommand\txr{\text{r}} \newcommand\vecr{\vec{r}} \newcommand\matr{\mat{r}} \newcommand\tenr{\ten{r}}
|
||||||
|
\newcommand\txs{\text{s}} \newcommand\vecs{\vec{s}} \newcommand\mats{\mat{s}} \newcommand\tens{\ten{s}}
|
||||||
|
\newcommand\txt{\text{t}} \newcommand\vect{\vec{t}} \newcommand\matt{\mat{t}} \newcommand\tent{\ten{t}}
|
||||||
|
\newcommand\txu{\text{u}} \newcommand\vecu{\vec{u}} \newcommand\matu{\mat{u}} \newcommand\tenu{\ten{u}}
|
||||||
|
\newcommand\txv{\text{v}} \newcommand\vecv{\vec{v}} \newcommand\matv{\mat{v}} \newcommand\tenv{\ten{v}}
|
||||||
|
\newcommand\txw{\text{w}} \newcommand\vecw{\vec{w}} \newcommand\matw{\mat{w}} \newcommand\tenw{\ten{w}}
|
||||||
|
\newcommand\txx{\text{x}} \newcommand\vecx{\vec{x}} \newcommand\matx{\mat{x}} \newcommand\tenx{\ten{x}}
|
||||||
|
\newcommand\txy{\text{y}} \newcommand\vecy{\vec{y}} \newcommand\maty{\mat{y}} \newcommand\teny{\ten{y}}
|
||||||
|
\newcommand\txz{\text{z}} \newcommand\vecz{\vec{z}} \newcommand\matz{\mat{z}} \newcommand\tenz{\ten{z}}
|
||||||
|
|
||||||
|
% SPACES
|
||||||
|
\newcommand\sdots{\,\dots\,}
|
||||||
|
\newcommand\qdots{\quad\dots\quad}
|
||||||
|
\newcommand\qRarrow{\quad\Rightarrow\quad}
|
||||||
|
|
||||||
|
% ANNOTATIONS
|
||||||
|
% put an explanation above an equal sign
|
||||||
|
% [1]: equality sign (or anything else)
|
||||||
|
% 2: text (not in math mode!)
|
||||||
|
\newcommand{\explUnderEq}[2][=]{%
|
||||||
|
\underset{\substack{\uparrow\\\mathrlap{\text{\hspace{-1em}#2}}}}{#1}}
|
||||||
|
\newcommand{\explOverEq}[2][=]{%
|
||||||
|
\overset{\substack{\mathrlap{\text{\hspace{-1em}#2}}\\\downarrow}}{#1}}
|
||||||
|
\newcommand{\eqnote}[1]{
|
||||||
|
\text{\color{fg2}#1}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
% DELIMITERS
|
||||||
|
% not using DeclarePairedDelmiter to always get scaling
|
||||||
|
\newcommand{\norm}[1]{\left\lVert #1 \right\rVert}
|
||||||
|
\newcommand{\abs}[1]{\left\lvert #1 \right\rvert}
|
||||||
|
\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
|
||||||
|
\newcommand{\ceil}[1]{\left\lceil#1\right\rceil}
|
||||||
|
|
||||||
|
% OPERATORS
|
||||||
|
% * places subset under the word instead of next to it
|
||||||
|
\DeclareMathOperator{\e}{e}
|
||||||
|
\def\T{\text{T}} % transposed
|
||||||
|
\DeclareMathOperator{\sgn}{sgn}
|
||||||
|
\DeclareMathOperator{\tr}{tr}
|
||||||
|
\DeclareMathOperator{\const}{const}
|
||||||
|
\DeclareMathOperator{\erf}{erf}
|
||||||
|
\DeclareMathOperator{\erfc}{erfc}
|
||||||
|
\DeclareMathOperator{\cov}{cov}
|
||||||
|
|
||||||
|
\DeclareMathOperator*{\argmin}{arg\,min}
|
||||||
|
\DeclareMathOperator*{\argmax}{arg\,max}
|
||||||
|
% \DeclareMathOperator{\div}{div}
|
||||||
|
% \DeclareMathOperator{\grad}{grad}
|
||||||
|
% \DeclareMathOperator{\rot}{rot}
|
||||||
|
% \DeclareMathOperator{\arcsin}{arcsin}
|
||||||
|
% \DeclareMathOperator{\arccos}{arccos}
|
||||||
|
% \DeclareMathOperator{\arctan}{arctan}
|
||||||
|
\DeclareMathOperator{\arccot}{arccot}
|
||||||
|
\DeclareMathOperator{\arsinh}{arsinh}
|
||||||
|
\DeclareMathOperator{\arcosh}{arcosh}
|
||||||
|
\DeclareMathOperator{\artanh}{artanh}
|
||||||
|
\DeclareMathOperator{\arcoth}{arcoth}
|
||||||
|
% diff, for integrals and stuff
|
||||||
|
% \DeclareMathOperator{\dd}{d}
|
||||||
|
\renewcommand*\d{\mathop{}\!\mathrm{d}}
|
||||||
|
% times 10^{x}
|
||||||
|
\newcommand\xE[1]{\cdot 10^{#1}}
|
||||||
|
\newcommand\Exp[1]{\CmdWithParenthesis{\exp}{#1}}
|
||||||
|
\newcommand\Sin[1]{\CmdWithParenthesis{\sin}{#1}}
|
||||||
|
\newcommand\Cos[1]{\CmdWithParenthesis{\cos}{#1}}
|
||||||
|
\newcommand\Ln[1]{\CmdWithParenthesis{\ln}{#1}}
|
||||||
|
\newcommand\Log[1]{\CmdWithParenthesis{\log}{#1}}
|
||||||
|
\newcommand\Order[1]{\CmdWithParenthesis{\mathcal{O}}{#1}}
|
||||||
|
|
||||||
|
% VECTOR, MATRIX and TENSOR
|
||||||
|
% use vecAr to force an arrow
|
||||||
|
\NewCommandCopy{\vecAr}{\vec}
|
||||||
|
% extra {} assure they can b directly used after _
|
||||||
|
%% arrow/underline
|
||||||
|
\newcommand\mat[1]{{\ensuremath{\underline{#1}}}}
|
||||||
|
\renewcommand\vec[1]{{\ensuremath{\vecAr{#1}}}}
|
||||||
|
\newcommand\ten[1]{{\ensuremath{[#1]}}}
|
||||||
|
\newcommand\complex[1]{{\ensuremath{\tilde{#1}}}}
|
||||||
|
%% bold
|
||||||
|
% \newcommand\mat[1]{{\ensuremath{\bm{#1}}}}
|
||||||
|
% \renewcommand\vec[1]{{\ensuremath{\bm{#1}}}}
|
||||||
Loading…
x
Reference in New Issue
Block a user