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Diffstat (limited to 'macros/latex/contrib/thuthesis/math_commands.tex')
-rw-r--r-- | macros/latex/contrib/thuthesis/math_commands.tex | 292 |
1 files changed, 0 insertions, 292 deletions
diff --git a/macros/latex/contrib/thuthesis/math_commands.tex b/macros/latex/contrib/thuthesis/math_commands.tex deleted file mode 100644 index e3636b612a..0000000000 --- a/macros/latex/contrib/thuthesis/math_commands.tex +++ /dev/null @@ -1,292 +0,0 @@ -% !TeX root = ./thuthesis-example.tex - -% 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 |