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Diffstat (limited to 'macros/latex/contrib/thuthesis/math_commands.tex')
-rw-r--r-- | macros/latex/contrib/thuthesis/math_commands.tex | 290 |
1 files changed, 290 insertions, 0 deletions
diff --git a/macros/latex/contrib/thuthesis/math_commands.tex b/macros/latex/contrib/thuthesis/math_commands.tex new file mode 100644 index 0000000000..5fc9be6751 --- /dev/null +++ b/macros/latex/contrib/thuthesis/math_commands.tex @@ -0,0 +1,290 @@ +% Adapted for use with thuthesis. +% Original code is at https://github.com/goodfeli/dlbook_notation/blob/master/math_commands.tex + +%%%%% NEW MATH DEFINITIONS %%%%% + +\newcommand\ceil[1]{\lceil #1 \rceil} +\newcommand\floor[1]{\lfloor #1 \rfloor} + + +% Vectors +\newcommand\Vector[1]{\symbf{#1}} + +\newcommand\0{{\Vector{0}}} +\newcommand\vzero{{\Vector{0}}} +\newcommand\1{{\Vector{1}}} +\newcommand\vone{{\Vector{1}}} + +\newcommand\va{{\Vector{a}}} +\newcommand\vb{{\Vector{b}}} +\newcommand\vc{{\Vector{c}}} +\newcommand\vd{{\Vector{d}}} +\newcommand\ve{{\Vector{e}}} +\newcommand\vf{{\Vector{f}}} +\newcommand\vg{{\Vector{g}}} +\newcommand\vh{{\Vector{h}}} +\newcommand\vi{{\Vector{i}}} +\newcommand\vj{{\Vector{j}}} +\newcommand\vk{{\Vector{k}}} +\newcommand\vl{{\Vector{l}}} +\newcommand\vm{{\Vector{m}}} +\newcommand\vn{{\Vector{n}}} +\newcommand\vo{{\Vector{o}}} +\newcommand\vp{{\Vector{p}}} +\newcommand\vq{{\Vector{q}}} +\newcommand\vr{{\Vector{r}}} +\newcommand\vs{{\Vector{s}}} +\newcommand\vt{{\Vector{t}}} +\newcommand\vu{{\Vector{u}}} +\newcommand\vv{{\Vector{v}}} +\newcommand\vw{{\Vector{w}}} +\newcommand\vx{{\Vector{x}}} +\newcommand\vy{{\Vector{y}}} +\newcommand\vz{{\Vector{z}}} + +\newcommand\valpha{{\Vector{\alpha}}} +\newcommand\vbeta{{\Vector{\beta}}} +\newcommand\vgamma{{\Vector{\gamma}}} +\newcommand\vdelta{{\Vector{\delta}}} +\newcommand\vepsilon{{\Vector{\epsilon}}} +\newcommand\vtheta{{\Vector{\theta}}} +\newcommand\viota{{\Vector{\iota}}} +\newcommand\vkappa{{\Vector{\kappa}}} +\newcommand\vlambda{{\Vector{\lambda}}} +\newcommand\vmu{{\Vector{\mu}}} +\newcommand\vnu{{\Vector{\nu}}} +\newcommand\vxi{{\Vector{\xi}}} +\newcommand\vpi{{\Vector{\pi}}} +\newcommand\vrho{{\Vector{\rho}}} +\newcommand\vsigma{{\Vector{\sigma}}} +\newcommand\vtau{{\Vector{\tau}}} +\newcommand\vupsilon{{\Vector{\upsilon}}} +\newcommand\vphi{{\Vector{\phi}}} +\newcommand\vchi{{\Vector{\chi}}} +\newcommand\vpsi{{\Vector{\psi}}} +\newcommand\vomega{{\Vector{\omega}}} + + +% Matrix +\newcommand\MATRIX[1]{\symbf{#1}} + +\newcommand\mA{{\MATRIX{A}}} +\newcommand\mB{{\MATRIX{B}}} +\newcommand\mC{{\MATRIX{C}}} +\newcommand\mD{{\MATRIX{D}}} +\newcommand\mE{{\MATRIX{E}}} +\newcommand\mF{{\MATRIX{F}}} +\newcommand\mG{{\MATRIX{G}}} +\newcommand\mH{{\MATRIX{H}}} +\newcommand\mI{{\MATRIX{I}}} +\newcommand\mJ{{\MATRIX{J}}} +\newcommand\mK{{\MATRIX{K}}} +\newcommand\mL{{\MATRIX{L}}} +\newcommand\mM{{\MATRIX{M}}} +\newcommand\mN{{\MATRIX{N}}} +\newcommand\mO{{\MATRIX{O}}} +\newcommand\mP{{\MATRIX{P}}} +\newcommand\mQ{{\MATRIX{Q}}} +\newcommand\mR{{\MATRIX{R}}} +\newcommand\mS{{\MATRIX{S}}} +\newcommand\mT{{\MATRIX{T}}} +\newcommand\mU{{\MATRIX{U}}} +\newcommand\mV{{\MATRIX{V}}} +\newcommand\mW{{\MATRIX{W}}} +\newcommand\mX{{\MATRIX{X}}} +\newcommand\mY{{\MATRIX{Y}}} +\newcommand\mZ{{\MATRIX{Z}}} + +\newcommand\mGamma{{\MATRIX{\Gamma}}} +\newcommand\mDelta{{\MATRIX{\Delta}}} +\newcommand\mTheta{{\MATRIX{\Theta}}} +\newcommand\mLambda{{\MATRIX{\Lambda}}} +\newcommand\mXi{{\MATRIX{\Xi}}} +\newcommand\mPi{{\MATRIX{\Pi}}} +\newcommand\mSigma{{\MATRIX{\Sigma}}} +\newcommand\mUpsilon{{\MATRIX{\Upsilon}}} +\newcommand\mPhi{{\MATRIX{\Phi}}} +\newcommand\mPsi{{\MATRIX{\Psi}}} +\newcommand\mOmega{{\MATRIX{\Omega}}} + + +% Tensor +\newcommand\tens[1]{\symbfsf{#1}} +\newcommand\tA{{\tens{A}}} +\newcommand\tB{{\tens{B}}} +\newcommand\tC{{\tens{C}}} +\newcommand\tD{{\tens{D}}} +\newcommand\tE{{\tens{E}}} +\newcommand\tF{{\tens{F}}} +\newcommand\tG{{\tens{G}}} +\newcommand\tH{{\tens{H}}} +\newcommand\tI{{\tens{I}}} +\newcommand\tJ{{\tens{J}}} +\newcommand\tK{{\tens{K}}} +\newcommand\tL{{\tens{L}}} +\newcommand\tM{{\tens{M}}} +\newcommand\tN{{\tens{N}}} +\newcommand\tO{{\tens{O}}} +\newcommand\tP{{\tens{P}}} +\newcommand\tQ{{\tens{Q}}} +\newcommand\tR{{\tens{R}}} +\newcommand\tS{{\tens{S}}} +\newcommand\tT{{\tens{T}}} +\newcommand\tU{{\tens{U}}} +\newcommand\tV{{\tens{V}}} +\newcommand\tW{{\tens{W}}} +\newcommand\tX{{\tens{X}}} +\newcommand\tY{{\tens{Y}}} +\newcommand\tZ{{\tens{Z}}} + + +% Graph +\newcommand\gA{{\mathcal{A}}} +\newcommand\gB{{\mathcal{B}}} +\newcommand\gC{{\mathcal{C}}} +\newcommand\gD{{\mathcal{D}}} +\newcommand\gE{{\mathcal{E}}} +\newcommand\gF{{\mathcal{F}}} +\newcommand\gG{{\mathcal{G}}} +\newcommand\gH{{\mathcal{H}}} +\newcommand\gI{{\mathcal{I}}} +\newcommand\gJ{{\mathcal{J}}} +\newcommand\gK{{\mathcal{K}}} +\newcommand\gL{{\mathcal{L}}} +\newcommand\gM{{\mathcal{M}}} +\newcommand\gN{{\mathcal{N}}} +\newcommand\gO{{\mathcal{O}}} +\newcommand\gP{{\mathcal{P}}} +\newcommand\gQ{{\mathcal{Q}}} +\newcommand\gR{{\mathcal{R}}} +\newcommand\gS{{\mathcal{S}}} +\newcommand\gT{{\mathcal{T}}} +\newcommand\gU{{\mathcal{U}}} +\newcommand\gV{{\mathcal{V}}} +\newcommand\gW{{\mathcal{W}}} +\newcommand\gX{{\mathcal{X}}} +\newcommand\gY{{\mathcal{Y}}} +\newcommand\gZ{{\mathcal{Z}}} + + +% Sets +\newcommand\sA{{\mathbb{A}}} +\newcommand\sB{{\mathbb{B}}} +\newcommand\sC{{\mathbb{C}}} +\newcommand\sD{{\mathbb{D}}} +% Don't use a set called E, because this would be the same as our symbol +% for expectation. +\newcommand\sF{{\mathbb{F}}} +\newcommand\sG{{\mathbb{G}}} +\newcommand\sH{{\mathbb{H}}} +\newcommand\sI{{\mathbb{I}}} +\newcommand\sJ{{\mathbb{J}}} +\newcommand\sK{{\mathbb{K}}} +\newcommand\sL{{\mathbb{L}}} +\newcommand\sM{{\mathbb{M}}} +\newcommand\sN{{\mathbb{N}}} +\newcommand\sO{{\mathbb{O}}} +\newcommand\sP{{\mathbb{P}}} +\newcommand\sQ{{\mathbb{Q}}} +\newcommand\sR{{\mathbb{R}}} +\newcommand\sS{{\mathbb{S}}} +\newcommand\sT{{\mathbb{T}}} +\newcommand\sU{{\mathbb{U}}} +\newcommand\sV{{\mathbb{V}}} +\newcommand\sW{{\mathbb{W}}} +\newcommand\sX{{\mathbb{X}}} +\newcommand\sY{{\mathbb{Y}}} +\newcommand\sZ{{\mathbb{Z}}} + + +% Random variables +\newcommand\RandomVariable[1]{\symit{#1}} + +\newcommand\rA{{\RandomVariable{A}}} +\newcommand\rB{{\RandomVariable{B}}} +\newcommand\rC{{\RandomVariable{C}}} +\newcommand\rD{{\RandomVariable{D}}} +\newcommand\rE{{\RandomVariable{E}}} +\newcommand\rF{{\RandomVariable{F}}} +\newcommand\rG{{\RandomVariable{G}}} +\newcommand\rH{{\RandomVariable{H}}} +\newcommand\rI{{\RandomVariable{I}}} +\newcommand\rJ{{\RandomVariable{J}}} +\newcommand\rK{{\RandomVariable{K}}} +\newcommand\rL{{\RandomVariable{L}}} +\newcommand\rM{{\RandomVariable{M}}} +\newcommand\rN{{\RandomVariable{N}}} +\newcommand\rO{{\RandomVariable{O}}} +\newcommand\rP{{\RandomVariable{P}}} +\newcommand\rQ{{\RandomVariable{Q}}} +\newcommand\rR{{\RandomVariable{R}}} +\newcommand\rS{{\RandomVariable{S}}} +\newcommand\rT{{\RandomVariable{T}}} +\newcommand\rU{{\RandomVariable{U}}} +\newcommand\rV{{\RandomVariable{V}}} +\newcommand\rW{{\RandomVariable{W}}} +\newcommand\rX{{\RandomVariable{X}}} +\newcommand\rY{{\RandomVariable{Y}}} +\newcommand\rZ{{\RandomVariable{Z}}} + +% Random vectors +\newcommand\RandomVector[1]{\symbf{#1}} + +\newcommand\rvA{{\RandomVector{A}}} +\newcommand\rvB{{\RandomVector{B}}} +\newcommand\rvC{{\RandomVector{C}}} +\newcommand\rvD{{\RandomVector{D}}} +\newcommand\rvE{{\RandomVector{E}}} +\newcommand\rvF{{\RandomVector{F}}} +\newcommand\rvG{{\RandomVector{G}}} +\newcommand\rvH{{\RandomVector{H}}} +\newcommand\rvI{{\RandomVector{I}}} +\newcommand\rvJ{{\RandomVector{J}}} +\newcommand\rvK{{\RandomVector{K}}} +\newcommand\rvL{{\RandomVector{L}}} +\newcommand\rvM{{\RandomVector{M}}} +\newcommand\rvN{{\RandomVector{N}}} +\newcommand\rvO{{\RandomVector{O}}} +\newcommand\rvP{{\RandomVector{P}}} +\newcommand\rvQ{{\RandomVector{Q}}} +\newcommand\rvR{{\RandomVector{R}}} +\newcommand\rvS{{\RandomVector{S}}} +\newcommand\rvT{{\RandomVector{T}}} +\newcommand\rvU{{\RandomVector{U}}} +\newcommand\rvV{{\RandomVector{V}}} +\newcommand\rvW{{\RandomVector{W}}} +\newcommand\rvX{{\RandomVector{X}}} +\newcommand\rvY{{\RandomVector{Y}}} +\newcommand\rvZ{{\RandomVector{Z}}} + +\newcommand\laplace{\mathrm{Laplace}} % Laplace distribution + +\newcommand\E{\mathbb{E}} +\newcommand\Ls{\mathcal{L}} +\newcommand\R{\mathbb{R}} +\newcommand\emp{\tilde{p}} +\newcommand\lr{\alpha} +\newcommand\reg{\lambda} +\newcommand\rect{\mathrm{rectifier}} +\newcommand\softmax{\mathrm{softmax}} +\newcommand\sigmoid{\sigma} +\newcommand\softplus{\zeta} +\newcommand\KL{D_{\mathrm{KL}}} +\newcommand\Var{\mathrm{Var}} +\newcommand\standarderror{\mathrm{SE}} +\newcommand\Cov{\mathrm{Cov}} +% Wolfram Mathworld says $L^2$ is for function spaces and $\ell^2$ is for vectors +% But then they seem to use $L^2$ for vectors throughout the site, and so does +% wikipedia. +\newcommand\normlzero{L^0} +\newcommand\normlone{L^1} +\newcommand\normltwo{L^2} +\newcommand\normlp{L^p} +\newcommand\normmax{L^\infty} + +\DeclareMathOperator*{\argmax}{arg\,max} +\DeclareMathOperator*{\argmin}{arg\,min} + +\DeclareMathOperator{\sign}{sign} +\DeclareMathOperator{\Tr}{Tr} +\let\ab\allowbreak |