macro.tex

% mathbb
\newcommand{\bba}{\mathbb{a}}
\newcommand{\bbb}{\mathbb{b}}
\newcommand{\bbc}{\mathbb{c}}
\newcommand{\bbd}{\mathbb{d}}
\newcommand{\bbe}{\mathbb{e}}
\newcommand{\bbf}{\mathbb{f}}
\newcommand{\bbg}{\mathbb{g}}
\newcommand{\bbh}{\mathbb{h}}
\newcommand{\bbi}{\mathbb{i}}
\newcommand{\bbj}{\mathbb{j}}
\newcommand{\bbk}{\mathbb{k}}
\newcommand{\bbl}{\mathbb{l}}
\newcommand{\bbm}{\mathbb{m}}
\newcommand{\bbn}{\mathbb{n}}
\newcommand{\bbo}{\mathbb{o}}
\newcommand{\bbp}{\mathbb{p}}
\newcommand{\bbq}{\mathbb{q}}
\newcommand{\bbr}{\mathbb{r}}
\newcommand{\bbs}{\mathbb{s}}
\newcommand{\bbt}{\mathbb{t}}
\newcommand{\bbu}{\mathbb{u}}
\newcommand{\bbv}{\mathbb{v}}
\newcommand{\bbw}{\mathbb{w}}
\newcommand{\bbx}{\mathbb{x}}
\newcommand{\bby}{\mathbb{y}}
\newcommand{\bbz}{\mathbb{z}}
\newcommand{\bbA}{\mathbb{A}}
\newcommand{\bbB}{\mathbb{B}}
\newcommand{\bbC}{\mathbb{C}}
\newcommand{\bbD}{\mathbb{D}}
\newcommand{\bbE}{\mathbb{E}}
\newcommand{\bbF}{\mathbb{F}}
\newcommand{\bbG}{\mathbb{G}}
\newcommand{\bbH}{\mathbb{H}}
\newcommand{\bbI}{\mathbb{I}}
\newcommand{\bbJ}{\mathbb{J}}
\newcommand{\bbK}{\mathbb{K}}
\newcommand{\bbL}{\mathbb{L}}
\newcommand{\bbM}{\mathbb{M}}
\newcommand{\bbN}{\mathbb{N}}
\newcommand{\bbO}{\mathbb{O}}
\newcommand{\bbP}{\mathbb{P}}
\newcommand{\bbQ}{\mathbb{Q}}
\newcommand{\bbR}{\mathbb{R}}
\newcommand{\bbS}{\mathbb{S}}
\newcommand{\bbT}{\mathbb{T}}
\newcommand{\bbU}{\mathbb{U}}
\newcommand{\bbV}{\mathbb{V}}
\newcommand{\bbW}{\mathbb{W}}
\newcommand{\bbX}{\mathbb{X}}
\newcommand{\bbY}{\mathbb{Y}}
\newcommand{\bbZ}{\mathbb{Z}}

% mathbf
\newcommand{\bfa}{\mbfa}
\newcommand{\bfb}{\mbfb}
\newcommand{\bfc}{\mbfc}
\newcommand{\bfd}{\mbfd}
\newcommand{\bfe}{\mbfe}
\newcommand{\bff}{\mbff}
\newcommand{\bfg}{\mbfg}
\newcommand{\bfh}{\mbfh}
\newcommand{\bfi}{\mbfi}
\newcommand{\bfj}{\mbfj}
\newcommand{\bfk}{\mbfk}
\newcommand{\bfl}{\mbfl}
\newcommand{\bfm}{\mbfm}
\newcommand{\bfn}{\mbfn}
\newcommand{\bfo}{\mbfo}
\newcommand{\bfp}{\mbfp}
\newcommand{\bfq}{\mbfq}
\newcommand{\bfr}{\mbfr}
\newcommand{\bfs}{\mbfs}
\newcommand{\bft}{\mbft}
\newcommand{\bfu}{\mbfu}
\newcommand{\bfv}{\mbfv}
\newcommand{\bfw}{\mbfw}
\newcommand{\bfx}{\mbfx}
\newcommand{\bfy}{\mbfy}
\newcommand{\bfz}{\mbfz}
\newcommand{\bfA}{\mbfA}
\newcommand{\bfB}{\mbfB}
\newcommand{\bfC}{\mbfC}
\newcommand{\bfD}{\mbfD}
\newcommand{\bfE}{\mbfE}
\newcommand{\bfF}{\mbfF}
\newcommand{\bfG}{\mbfG}
\newcommand{\bfH}{\mbfH}
\newcommand{\bfI}{\mbfI}
\newcommand{\bfJ}{\mbfJ}
\newcommand{\bfK}{\mbfK}
\newcommand{\bfL}{\mbfL}
\newcommand{\bfM}{\mbfM}
\newcommand{\bfN}{\mbfN}
\newcommand{\bfO}{\mbfO}
\newcommand{\bfP}{\mbfP}
\newcommand{\bfQ}{\mbfQ}
\newcommand{\bfR}{\mbfR}
\newcommand{\bfS}{\mbfS}
\newcommand{\bfT}{\mbfT}
\newcommand{\bfU}{\mbfU}
\newcommand{\bfV}{\mbfV}
\newcommand{\bfW}{\mbfW}
\newcommand{\bfX}{\mbfX}
\newcommand{\bfY}{\mbfY}
\newcommand{\bfZ}{\mbfZ}

% bm (bm)
\newcommand{\bma}{\bm{a}}
\newcommand{\bmb}{\bm{b}}
\newcommand{\bmc}{\bm{c}}
\newcommand{\bmd}{\bm{d}}
\newcommand{\bme}{\bm{e}}
\newcommand{\bmf}{\bm{f}}
\newcommand{\bmg}{\bm{g}}
\newcommand{\bmh}{\bm{h}}
\newcommand{\bmi}{\bm{i}}
\newcommand{\bmj}{\bm{j}}
\newcommand{\bmk}{\bm{k}}
\newcommand{\bml}{\bm{l}}
\newcommand{\bmm}{\bm{m}}
\newcommand{\bmn}{\bm{n}}
\newcommand{\bmo}{\bm{o}}
\newcommand{\bmp}{\bm{p}}
\newcommand{\bmq}{\bm{q}}
\newcommand{\bmr}{\bm{r}}
\newcommand{\bms}{\bm{s}}
\newcommand{\bmt}{\bm{t}}
\newcommand{\bmu}{\bm{u}}
\newcommand{\bmv}{\bm{v}}
\newcommand{\bmw}{\bm{w}}
\newcommand{\bmx}{\bm{x}}
\newcommand{\bmy}{\bm{y}}
\newcommand{\bmz}{\bm{z}}
\newcommand{\bmA}{\bm{A}}
\newcommand{\bmB}{\bm{B}}
\newcommand{\bmC}{\bm{C}}
\newcommand{\bmD}{\bm{D}}
\newcommand{\bmE}{\bm{E}}
\newcommand{\bmF}{\bm{F}}
\newcommand{\bmG}{\bm{G}}
\newcommand{\bmH}{\bm{H}}
\newcommand{\bmI}{\bm{I}}
\newcommand{\bmJ}{\bm{J}}
\newcommand{\bmK}{\bm{K}}
\newcommand{\bmL}{\bm{L}}
\newcommand{\bmM}{\bm{M}}
\newcommand{\bmN}{\bm{N}}
\newcommand{\bmO}{\bm{O}}
\newcommand{\bmP}{\bm{P}}
\newcommand{\bmQ}{\bm{Q}}
\newcommand{\bmR}{\bm{R}}
\newcommand{\bmS}{\bm{S}}
\newcommand{\bmT}{\bm{T}}
\newcommand{\bmU}{\bm{U}}
\newcommand{\bmV}{\bm{V}}
\newcommand{\bmW}{\bm{W}}
\newcommand{\bmX}{\bm{X}}
\newcommand{\bmY}{\bm{Y}}
\newcommand{\bmZ}{\bm{Z}}

% mathcal
\newcommand{\calA}{\mathcal{A}}
\newcommand{\calB}{\mathcal{B}}
\newcommand{\calC}{\mathcal{C}}
\newcommand{\calD}{\mathcal{D}}
\newcommand{\calE}{\mathcal{E}}
\newcommand{\calF}{\mathcal{F}}
\newcommand{\calG}{\mathcal{G}}
\newcommand{\calH}{\mathcal{H}}
\newcommand{\calI}{\mathcal{I}}
\newcommand{\calJ}{\mathcal{J}}
\newcommand{\calK}{\mathcal{K}}
\newcommand{\calL}{\mathcal{L}}
\newcommand{\calM}{\mathcal{M}}
\newcommand{\calN}{\mathcal{N}}
\newcommand{\calO}{\mathcal{O}}
\newcommand{\calP}{\mathcal{P}}
\newcommand{\calQ}{\mathcal{Q}}
\newcommand{\calR}{\mathcal{R}}
\newcommand{\calS}{\mathcal{S}}
\newcommand{\calT}{\mathcal{T}}
\newcommand{\calU}{\mathcal{U}}
\newcommand{\calV}{\mathcal{V}}
\newcommand{\calW}{\mathcal{W}}
\newcommand{\calX}{\mathcal{X}}
\newcommand{\calY}{\mathcal{Y}}
\newcommand{\calZ}{\mathcal{Z}}

% mathfrak
\newcommand{\fraka}{\mathfrak{a}}
\newcommand{\frakb}{\mathfrak{b}}
\newcommand{\frakc}{\mathfrak{c}}
\newcommand{\frakd}{\mathfrak{d}}
\newcommand{\frake}{\mathfrak{e}}
\newcommand{\frakf}{\mathfrak{f}}
\newcommand{\frakg}{\mathfrak{g}}
\newcommand{\frakh}{\mathfrak{h}}
\newcommand{\fraki}{\mathfrak{i}}
\newcommand{\frakj}{\mathfrak{j}}
\newcommand{\frakk}{\mathfrak{k}}
\newcommand{\frakl}{\mathfrak{l}}
\newcommand{\frakm}{\mathfrak{m}}
\newcommand{\frakn}{\mathfrak{n}}
\newcommand{\frako}{\mathfrak{o}}
\newcommand{\frakp}{\mathfrak{p}}
\newcommand{\frakq}{\mathfrak{q}}
\newcommand{\frakr}{\mathfrak{r}}
\newcommand{\fraks}{\mathfrak{s}}
\newcommand{\frakt}{\mathfrak{t}}
\newcommand{\fraku}{\mathfrak{u}}
\newcommand{\frakv}{\mathfrak{v}}
\newcommand{\frakw}{\mathfrak{w}}
\newcommand{\frakx}{\mathfrak{x}}
\newcommand{\fraky}{\mathfrak{y}}
\newcommand{\frakz}{\mathfrak{z}}
\newcommand{\frakA}{\mathfrak{A}}
\newcommand{\frakB}{\mathfrak{B}}
\newcommand{\frakC}{\mathfrak{C}}
\newcommand{\frakD}{\mathfrak{D}}
\newcommand{\frakE}{\mathfrak{E}}
\newcommand{\frakF}{\mathfrak{F}}
\newcommand{\frakG}{\mathfrak{G}}
\newcommand{\frakH}{\mathfrak{H}}
\newcommand{\frakI}{\mathfrak{I}}
\newcommand{\frakJ}{\mathfrak{J}}
\newcommand{\frakK}{\mathfrak{K}}
\newcommand{\frakL}{\mathfrak{L}}
\newcommand{\frakM}{\mathfrak{M}}
\newcommand{\frakN}{\mathfrak{N}}
\newcommand{\frakO}{\mathfrak{O}}
\newcommand{\frakP}{\mathfrak{P}}
\newcommand{\frakQ}{\mathfrak{Q}}
\newcommand{\frakR}{\mathfrak{R}}
\newcommand{\frakS}{\mathfrak{S}}
\newcommand{\frakT}{\mathfrak{T}}
\newcommand{\frakU}{\mathfrak{U}}
\newcommand{\frakV}{\mathfrak{V}}
\newcommand{\frakW}{\mathfrak{W}}
\newcommand{\frakX}{\mathfrak{X}}
\newcommand{\frakY}{\mathfrak{Y}}
\newcommand{\frakZ}{\mathfrak{Z}}

% mathrm
\newcommand{\rma}{\mathrm{a}}
\newcommand{\rmb}{\mathrm{b}}
\newcommand{\rmc}{\mathrm{c}}
\newcommand{\rmd}{\mathrm{d}}
\newcommand{\rme}{\mathrm{e}}
\newcommand{\rmf}{\mathrm{f}}
\newcommand{\rmg}{\mathrm{g}}
\newcommand{\rmh}{\mathrm{h}}
\newcommand{\rmi}{\mathrm{i}}
\newcommand{\rmj}{\mathrm{j}}
\newcommand{\rmk}{\mathrm{k}}
\newcommand{\rml}{\mathrm{l}}
\newcommand{\rmm}{\mathrm{m}}
\newcommand{\rmn}{\mathrm{n}}
\newcommand{\rmo}{\mathrm{o}}
\newcommand{\rmp}{\mathrm{p}}
\newcommand{\rmq}{\mathrm{q}}
\newcommand{\rmr}{\mathrm{r}}
\newcommand{\rms}{\mathrm{s}}
\newcommand{\rmt}{\mathrm{t}}
\newcommand{\rmu}{\mathrm{u}}
\newcommand{\rmv}{\mathrm{v}}
\newcommand{\rmw}{\mathrm{w}}
\newcommand{\rmx}{\mathrm{x}}
\newcommand{\rmy}{\mathrm{y}}
\newcommand{\rmz}{\mathrm{z}}
\newcommand{\rmA}{\mathrm{A}}
\newcommand{\rmB}{\mathrm{B}}
\newcommand{\rmC}{\mathrm{C}}
\newcommand{\rmD}{\mathrm{D}}
\newcommand{\rmE}{\mathrm{E}}
\newcommand{\rmF}{\mathrm{F}}
\newcommand{\rmG}{\mathrm{G}}
\newcommand{\rmH}{\mathrm{H}}
\newcommand{\rmI}{\mathrm{I}}
\newcommand{\rmJ}{\mathrm{J}}
\newcommand{\rmK}{\mathrm{K}}
\newcommand{\rmL}{\mathrm{L}}
\newcommand{\rmM}{\mathrm{M}}
\newcommand{\rmN}{\mathrm{N}}
\newcommand{\rmO}{\mathrm{O}}
\newcommand{\rmP}{\mathrm{P}}
\newcommand{\rmQ}{\mathrm{Q}}
\newcommand{\rmR}{\mathrm{R}}
\newcommand{\rmS}{\mathrm{S}}
\newcommand{\rmT}{\mathrm{T}}
\newcommand{\rmU}{\mathrm{U}}
\newcommand{\rmV}{\mathrm{V}}
\newcommand{\rmW}{\mathrm{W}}
\newcommand{\rmX}{\mathrm{X}}
\newcommand{\rmY}{\mathrm{Y}}
\newcommand{\rmZ}{\mathrm{Z}}


% Greek alphabet abbreviation
\newcommand{\alp}{\alpha}
\newcommand{\gmm}{\gamma}
\newcommand{\Gmm}{\Gamma}
\newcommand{\dlt}{\delta}
\newcommand{\Dlt}{\Delta}
\newcommand{\eps}{\varepsilon}
\newcommand{\tht}{\theta}
\newcommand{\Tht}{\Theta}
\newcommand{\kpp}{\kappa}
\newcommand{\Kpp}{\Kappa}
\newcommand{\lmd}{\lambda}
\newcommand{\Lmd}{\Lambda}
\newcommand{\sgm}{\sigma}
\newcommand{\Sgm}{\Sigma}
\newcommand{\ups}{\upsilon}
\newcommand{\Ups}{\Upsilon}
\newcommand{\omg}{\omega}
\newcommand{\Omg}{\Omega}
\newcommand{\veps}{\varepsilon}
\newcommand{\vphi}{\varphi}

\newcommand{\rbr}[1]{\left({#1}\right)}             % round brackets
\newcommand{\sbr}[1]{\left[{#1}\right]}             % square brackets
\newcommand{\cbr}[1]{\left\{{#1}\right\}}           % curly brackets
\newcommand{\fnc}[1]{\left|{#1}\right|}             % fence
\newcommand{\norm}[1]{\left\lVert{#1}\right\rVert}  % norm

% derivative and partial derivative
% FIXME:
\newcommand{\der}[2][]{\frac{\rmd #1}{\rmd #2}}
\newcommand{\pder}[2][]{\frac{\partial #1}{\partial #2}}
\newcommand{\dern}[3][]{\frac{\rmd #1^{#3}}{\rmd #2^{#3}}}
\newcommand{\pdern}[3][]{\frac{\partial #1^{#3}}{\partial #2^{#3}}}

% integral
\newcommand{\intab}{\int_a^b}
\newcommand{\intbo}{\int_b^1}
\newcommand{\intii}{\int_{-\infty}^\infty}
\newcommand{\intil}{\int_{-\infty}^l}
\newcommand{\intlr}{\int_l^r}
\newcommand{\intoa}{\int_{-1}^a}
\newcommand{\intoo}{\int_{-1}^1}
\newcommand{\intri}{\int_r^\inry}
\newcommand{\intza}{\int_0^a}
\newcommand{\intzi}{\int_0^\infty}
\newcommand{\intzo}{\int_0^1}
\newcommand{\dd}{\,\rmd}

% sum
\newcommand{\sumioi}{\sum_{i=1}^\infty}
\newcommand{\sumiol}{\sum_{i=1}^l}
\newcommand{\sumiom}{\sum_{i=1}^m}
\newcommand{\sumion}{\sum_{i=1}^n}
\newcommand{\sumizi}{\sum_{i=0}^\infty}
\newcommand{\sumizl}{\sum_{i=0}^l}
\newcommand{\sumizm}{\sum_{i=0}^m}
\newcommand{\sumizn}{\sum_{i=0}^n}
\newcommand{\sumjoi}{\sum_{j=1}^\infty}
\newcommand{\sumjol}{\sum_{j=1}^l}
\newcommand{\sumjom}{\sum_{j=1}^m}
\newcommand{\sumjon}{\sum_{j=1}^n}
\newcommand{\sumjzi}{\sum_{j=0}^\infty}
\newcommand{\sumjzl}{\sum_{j=0}^l}
\newcommand{\sumjzm}{\sum_{j=0}^m}
\newcommand{\sumjzn}{\sum_{j=0}^n}
\newcommand{\sumkoi}{\sum_{k=1}^\infty}
\newcommand{\sumkol}{\sum_{k=1}^l}
\newcommand{\sumkom}{\sum_{k=1}^m}
\newcommand{\sumkon}{\sum_{k=1}^n}
\newcommand{\sumkzi}{\sum_{k=0}^\infty}
\newcommand{\sumkzl}{\sum_{k=0}^l}
\newcommand{\sumkzm}{\sum_{k=0}^m}
\newcommand{\sumkzn}{\sum_{k=0}^n}


% arrows
\newcommand{\lrarr}{\leftrightarrow}
\newcommand{\Larr}{\Leftarrow}
\newcommand{\Rarr}{\Rightarrow}
\newcommand{\Lrarr}{\Leftrightarrow}


% mathrm
\newcommand{\rmtr}{\mathrm{tr}}
\newcommand{\rmdiag}{\mathrm{diag}}
\newcommand{\rmIm}{\mathrm{Im}}
\newcommand{\rmRe}{\mathrm{Re}}
\newcommand{\rmasinh}{\mathrm{asinh}}
\newcommand{\rmatanh}{\mathrm{atanh}}
\newcommand{\rmacosh}{\mathrm{acosh}}