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defs [2020/02/16 12:01] douc |
defs [2023/11/14 18:37] rdouc |
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+ | /* List of newcommands in alphabetical order. Note that \Rset and \rset define the same object but this is due to bad habits */ | ||
+ | $$ | ||
+ | \newcommand{\arginf}{\mathrm{arginf}} | ||
+ | \newcommand{\argmin}{\mathrm{argmin}} | ||
+ | \newcommand{\argmax}{\mathrm{argmax}} | ||
+ | \newcommand{\asconv}[1]{\stackrel{#1-a.s.}{\rightarrow}} | ||
+ | \newcommand{\Aset}{\mathsf{A}} | ||
+ | \newcommand{\b}[1]{{\mathbf{#1}}} | ||
+ | \newcommand{\ball}[1]{\mathsf{B}(#1)} | ||
+ | \newcommand{\bbQ}{{\mathbb Q}} | ||
+ | \newcommand{\bproof}{\textbf{Proof :}\quad} | ||
+ | \newcommand{\bmuf}[2]{b_{#1,#2}} | ||
+ | \newcommand{\card}{\mathrm{card}} | ||
+ | \newcommand{\chunk}[3]{{#1}_{#2:#3}} | ||
+ | \newcommand{\condtrans}[3]{p_{#1}(#2|#3)} | ||
+ | \newcommand{\convprob}[1]{\stackrel{#1-\text{prob}}{\rightarrow}} | ||
+ | \newcommand{\Cov}{\mathbb{C}\mathrm{ov}} | ||
+ | \newcommand{\cro}[1]{\langle #1 \rangle} | ||
+ | \newcommand{\CPE}[2]{\PE\lr{#1| #2}} | ||
+ | \renewcommand{\det}{\mathrm{det}} | ||
+ | \newcommand{\dimlabel}{\mathsf{m}} | ||
+ | \newcommand{\dimU}{\mathsf{q}} | ||
+ | \newcommand{\dimX}{\mathsf{d}} | ||
+ | \newcommand{\dimY}{\mathsf{p}} | ||
+ | \newcommand{\dlim}{\Rightarrow} | ||
+ | \newcommand{\e}[1]{{\left\lfloor #1 \right\rfloor}} | ||
+ | \newcommand{\eproof}{\quad \Box} | ||
+ | \newcommand{\eremark}{</WRAP>} | ||
+ | \newcommand{\eqdef}{:=} | ||
+ | \newcommand{\eqlaw}{\stackrel{\mathcal{L}}{=}} | ||
+ | \newcommand{\eqsp}{\;} | ||
+ | \newcommand{\Eset}{ {\mathsf E}} | ||
+ | \newcommand{\esssup}{\mathrm{essup}} | ||
+ | \newcommand{\fr}[1]{{\left\langle #1 \right\rangle}} | ||
+ | \newcommand{\falph}{f} | ||
+ | \renewcommand{\geq}{\geqslant} | ||
+ | \newcommand{\hchi}{\hat \chi} | ||
+ | \newcommand{\Hset}{\mathsf{H}} | ||
+ | \newcommand{\Id}{\mathrm{Id}} | ||
+ | \newcommand{\img}{\text{Im}} | ||
+ | \newcommand{\indi}[1]{\mathbf{1}_{#1}} | ||
+ | \newcommand{\indiacc}[1]{\mathbf{1}_{\{#1\}}} | ||
+ | \newcommand{\indin}[1]{\mathbf{1}\{#1\}} | ||
+ | \newcommand{\itemm}{\quad \quad \blacktriangleright \;} | ||
+ | \newcommand{\jointtrans}[3]{p_{#1}(#2,#3)} | ||
+ | \newcommand{\ker}{\text{Ker}} | ||
+ | \newcommand{\klbck}[2]{\mathrm{K}\lr{#1||#2}} | ||
+ | \newcommand{\law}{\mathcal{L}} | ||
+ | \newcommand{\labelinit}{\pi} | ||
+ | \newcommand{\labelkernel}{Q} | ||
+ | \renewcommand{\leq}{\leqslant} | ||
+ | \newcommand{\lone}{\mathsf{L}_1} | ||
+ | \newcommand{\lrav}[1]{\left|#1 \right|} | ||
+ | \newcommand{\lr}[1]{\left(#1 \right)} | ||
+ | \newcommand{\lrb}[1]{\left[#1 \right]} | ||
+ | \newcommand{\lrc}[1]{\left\{#1 \right\}} | ||
+ | \newcommand{\lrcb}[1]{\left\{#1 \right\}} | ||
+ | \newcommand{\ltwo}[1]{\PE^{1/2}\lrb{\lrcb{#1}^2}} | ||
+ | \newcommand{\Ltwo}{\mathrm{L}^2} | ||
+ | \newcommand{\mc}[1]{\mathcal{#1}} | ||
+ | \newcommand{\mcbb}{\mathcal B} | ||
+ | \newcommand{\mcf}{\mathcal{F}} | ||
+ | \newcommand{\meas}[1]{\mathrm{M}_{#1}} | ||
+ | \newcommand{\norm}[1]{\left\|#1\right\|} | ||
+ | \newcommand{\normmat}[1]{{\left\vert\kern-0.25ex\left\vert\kern-0.25ex\left\vert #1 | ||
+ | \right\vert\kern-0.25ex\right\vert\kern-0.25ex\right\vert}} | ||
+ | \newcommand{\nset}{\mathbb N} | ||
+ | \newcommand{\N}{\mathcal{N}} | ||
+ | \newcommand{\one}{\mathsf{1}} | ||
+ | \newcommand{\PE}{\mathbb E} | ||
+ | \newcommand{\pminfty}{_{-\infty}^\infty} | ||
+ | \newcommand{\PP}{\mathbb P} | ||
+ | \newcommand{\projorth}[1]{\mathsf{P}^\perp_{#1}} | ||
+ | \newcommand{\Psif}{\Psi_f} | ||
+ | \newcommand{\pscal}[2]{\langle #1,#2\rangle} | ||
+ | \newcommand{\pscal}[2]{\langle #1,#2\rangle} | ||
+ | \newcommand{\psconv}{\stackrel{\PP-a.s.}{\rightarrow}} | ||
+ | \newcommand{\qset}{\mathbb Q} | ||
+ | \newcommand{\revcondtrans}[3]{q_{#1}(#2|#3)} | ||
+ | \newcommand{\rmd}{\mathrm d} | ||
+ | \newcommand{\rme}{\mathrm e} | ||
+ | \newcommand{\rmi}{\mathrm i} | ||
+ | \newcommand{\Rset}{\mathbb{R}} | ||
+ | \newcommand{\rset}{\mathbb{R}} | ||
+ | \newcommand{\rti}{\sigma} | ||
+ | \newcommand{\section}[1]{==== #1 ====} | ||
+ | \newcommand{\seq}[2]{\lrc{#1\eqsp: \eqsp #2}} | ||
+ | \newcommand{\set}[2]{\lrc{#1\eqsp: \eqsp #2}} | ||
+ | \newcommand{\sg}{\mathrm{sgn}} | ||
+ | \newcommand{\supnorm}[1]{\left\|#1\right\|_{\infty}} | ||
+ | \newcommand{\thv}{{\theta_\star}} | ||
+ | \newcommand{\tmu}{ {\tilde{\mu}}} | ||
+ | \newcommand{\Tset}{ {\mathsf{T}}} | ||
+ | \newcommand{\Tsigma}{ {\mathcal{T}}} | ||
+ | \newcommand{\ttheta}{{\tilde \theta}} | ||
+ | \newcommand{\tv}[1]{\left\|#1\right\|_{\mathrm{TV}}} | ||
+ | \newcommand{\unif}{\mathrm{Unif}} | ||
+ | \newcommand{\weaklim}[1]{\stackrel{\mathcal{L}_{#1}}{\rightsquigarrow}} | ||
+ | \newcommand{\Xset}{{\mathsf X}} | ||
+ | \newcommand{\Xsigma}{\mathcal X} | ||
+ | \newcommand{\Yset}{{\mathsf Y}} | ||
+ | \newcommand{\Ysigma}{\mathcal Y} | ||
+ | \newcommand{\Var}{\mathbb{V}\mathrm{ar}} | ||
+ | \newcommand{\zset}{\mathbb{Z}} | ||
+ | \newcommand{\Zset}{\mathsf{Z}} | ||
+ | $$ |