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defs [2021/03/13 14:12] rdouc |
defs [2023/05/24 14:46] rdouc |
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\newcommand{\convprob}[1]{\stackrel{#1-\text{prob}}{\rightarrow}} | \newcommand{\convprob}[1]{\stackrel{#1-\text{prob}}{\rightarrow}} | ||
\newcommand{\Cov}{\mathbb{C}\mathrm{ov}} | \newcommand{\Cov}{\mathbb{C}\mathrm{ov}} | ||
+ | \newcommand{\CPE}[2]{\PE\lr{#1| #2}} | ||
+ | |||
\renewcommand{\det}{\mathrm{det}} | \renewcommand{\det}{\mathrm{det}} | ||
\newcommand{\dimlabel}{\mathsf{m}} | \newcommand{\dimlabel}{\mathsf{m}} | ||
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\newcommand{\dimY}{\mathsf{p}} | \newcommand{\dimY}{\mathsf{p}} | ||
\newcommand{\dlim}{\Rightarrow} | \newcommand{\dlim}{\Rightarrow} | ||
+ | \newcommand{\e}[1]{{\left\lfloor #1 \right\rfloor}} | ||
\newcommand{\eproof}{\quad \Box} | \newcommand{\eproof}{\quad \Box} | ||
\newcommand{\eremark}{</WRAP>} | \newcommand{\eremark}{</WRAP>} | ||
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\newcommand{\Eset}{ {\mathsf E}} | \newcommand{\Eset}{ {\mathsf E}} | ||
\newcommand{\esssup}{\mathrm{essup}} | \newcommand{\esssup}{\mathrm{essup}} | ||
+ | \newcommand{\fr}[1]{{\left\langle #1 \right\rangle}} | ||
\newcommand{\falph}{f} | \newcommand{\falph}{f} | ||
\renewcommand{\geq}{\geqslant} | \renewcommand{\geq}{\geqslant} | ||
\newcommand{\hchi}{\hat \chi} | \newcommand{\hchi}{\hat \chi} | ||
+ | \newcommand{\Hset}{\mathsf{H}} | ||
\newcommand{\Id}{\mathrm{Id}} | \newcommand{\Id}{\mathrm{Id}} | ||
\newcommand{\img}{\text{Im}} | \newcommand{\img}{\text{Im}} | ||
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\newcommand{\labelkernel}{Q} | \newcommand{\labelkernel}{Q} | ||
\renewcommand{\leq}{\leqslant} | \renewcommand{\leq}{\leqslant} | ||
+ | \newcommand{\lone}{\mathsf{L}_1} | ||
\newcommand{\lrav}[1]{\left|#1 \right|} | \newcommand{\lrav}[1]{\left|#1 \right|} | ||
\newcommand{\lr}[1]{\left(#1 \right)} | \newcommand{\lr}[1]{\left(#1 \right)} | ||
Line 59: | Line 65: | ||
\newcommand{\one}{\mathsf{1}} | \newcommand{\one}{\mathsf{1}} | ||
\newcommand{\PE}{\mathbb E} | \newcommand{\PE}{\mathbb E} | ||
+ | \newcommand{\pminfty}{_{-\infty}^\infty} | ||
\newcommand{\PP}{\mathbb P} | \newcommand{\PP}{\mathbb P} | ||
+ | \newcommand{\projorth}[1]{\mathsf{P}^\perp_{#1}} | ||
\newcommand{\Psif}{\Psi_f} | \newcommand{\Psif}{\Psi_f} | ||
\newcommand{\pscal}[2]{\langle #1,#2\rangle} | \newcommand{\pscal}[2]{\langle #1,#2\rangle} | ||
Line 83: | Line 91: | ||
\newcommand{\tv}[1]{\left\|#1\right\|_{\mathrm{TV}}} | \newcommand{\tv}[1]{\left\|#1\right\|_{\mathrm{TV}}} | ||
\newcommand{\unif}{\mathrm{Unif}} | \newcommand{\unif}{\mathrm{Unif}} | ||
+ | \newcommand{\weaklim}[1]{\stackrel{\mathcal{L}_{#1}}{\rightsquigarrow}} | ||
\newcommand{\Xset}{{\mathsf X}} | \newcommand{\Xset}{{\mathsf X}} | ||
\newcommand{\Xsigma}{\mathcal X} | \newcommand{\Xsigma}{\mathcal X} |