step-project/macros.tex at main · EasonSYC/step-project · GitHub

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% Differentiation
% https://tex.stackexchange.com/a/60546/
\newcommand{\Diff}{\mathop{}\!\mathrm{d}}
\newcommand{\DiffFrac}[2]{\frac{\Diff #1}{\Diff #2}}
\newcommand{\DiffOp}[1]{\frac{\Diff}{\Diff #1}}

\newcommand{\Ndiff}[1]{\mathop{}\!\mathrm{d}^{#1}}
\newcommand{\NdiffFrac}[3]{\frac{\Ndiff{#1} #2}{\Diff {#3}^{#1}}}
\newcommand{\NdiffOp}[2]{\frac{\Ndiff{#1}}{\Diff {#2}^{#1}}}

% Evaluation
\newcommand{\LEvalAt}[2]{\left.#1\right\vert_{#2}}
\newcommand{\SqEvalAt}[2]{\left[#1\right]_{#2}}

% Epsilon & Phi
\renewcommand{\epsilon}{\varepsilon}
\renewcommand{\phi}{\varphi}

% Sets
\newcommand{\NN}{\mathbb{N}}
\newcommand{\ZZ}{\mathbb{Z}}
\newcommand{\QQ}{\mathbb{Q}}
\newcommand{\RR}{\mathbb{R}}
\newcommand{\CC}{\mathbb{C}}

\newcommand{\PP}{\mathbb{P}}

\renewcommand{\emptyset}{\varnothing}

% Probabililty
\DeclareMathOperator{\Cov}{Cov}
\DeclareMathOperator{\Corr}{Corr}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Expt}{E}
\DeclareMathOperator{\Prob}{P}

% Distribution
\DeclareMathOperator{\Binomial}{B}
\DeclareMathOperator{\Poisson}{Po}
\DeclareMathOperator{\Normal}{N}
\DeclareMathOperator{\Exponential}{Exp}
\DeclareMathOperator{\Geometric}{Geo}
\DeclareMathOperator{\Uniform}{U}

% Complex Numbers
\DeclareMathOperator{\im}{Im}
\DeclareMathOperator{\re}{Re}

% Missing Trigonometric & Hyperbolic functions
\DeclareMathOperator{\arccot}{arccot}
\DeclareMathOperator{\arcsec}{arcsec}
\DeclareMathOperator{\arccsc}{arccsc}

\DeclareMathOperator{\sech}{sech}
\DeclareMathOperator{\csch}{csch}

\DeclareMathOperator{\arsinh}{arsinh}
\DeclareMathOperator{\arcosh}{arcosh}
\DeclareMathOperator{\artanh}{artanh}
\DeclareMathOperator{\arcoth}{arcoth}
\DeclareMathOperator{\arsech}{arsech}
\DeclareMathOperator{\arcsch}{arcsch}

% UK Notation
\DeclareMathOperator{\cosec}{cosec}
\DeclareMathOperator{\arccosec}{arccosec}
\DeclareMathOperator{\cosech}{cosech}
\DeclareMathOperator{\arcosech}{arcosech}

% Paired Delimiters
\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert}
\DeclarePairedDelimiter{\ang}{\langle}{\rangle}

% Vectors
\newcommand{\vect}[1]{\mathbf{#1}}
\newcommand{\bvect}[1]{\overrightarrow{#1}}

% https://tex.stackexchange.com/a/28213
% \DeclareMathSymbol{\ii}{\mathalpha}{letters}{"10}
% \DeclareMathSymbol{\jj}{\mathalpha}{letters}{"11}

% \newcommand{\ihat}{\vect{\hat{\ii}}}
% \newcommand{\jhat}{\vect{\hat{\jj}}}

\newcommand{\ihat}{\textbf{\^{ı}}}
\newcommand{\jhat}{\textbf{\^{ȷ}}}
\newcommand{\khat}{\vect{\hat{k}}}

% Other Functions
\DeclareMathOperator{\sgn}{sgn}
\DeclareMathOperator{\tr}{tr}

% Other Math Symbols
\DeclareMathOperator{\modulo}{mod}

\newcommand{\divides}{\mid}
\newcommand{\notdivides}{\nmid}

\newcommand{\LHS}{\text{LHS}}
\newcommand{\RHS}{\text{RHS}}

\newcommand{\degree}{^{\circ}}