defs
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defs [2020/04/20 10:31] rdouc |
defs [2023/11/10 10:08] rdouc |
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| Line 8: | Line 8: | ||
| \newcommand{\b}[1]{{\mathbf{#1}}} | \newcommand{\b}[1]{{\mathbf{#1}}} | ||
| \newcommand{\ball}[1]{\mathsf{B}(#1)} | \newcommand{\ball}[1]{\mathsf{B}(#1)} | ||
| + | \newcommand{\bbQ}{{\mathbb Q}} | ||
| \newcommand{\bproof}{\textbf{Proof :}\quad} | \newcommand{\bproof}{\textbf{Proof :}\quad} | ||
| \newcommand{\bmuf}[2]{b_{#1,#2}} | \newcommand{\bmuf}[2]{b_{#1,#2}} | ||
| Line 14: | Line 15: | ||
| \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}} | ||
| Line 20: | Line 23: | ||
| \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>} | ||
| Line 27: | Line 31: | ||
| \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}} | ||
| Line 42: | Line 48: | ||
| \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 53: | Line 60: | ||
| \newcommand{\mcf}{\mathcal{F}} | \newcommand{\mcf}{\mathcal{F}} | ||
| \newcommand{\meas}[1]{\mathrm{M}_{#1}} | \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{\nset}{\mathbb N} | ||
| + | \newcommand{\N}{\mathcal{N}} | ||
| \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} | ||
| \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{\qset}{\mathbb Q} | ||
| \newcommand{\rmd}{\mathrm d} | \newcommand{\rmd}{\mathrm d} | ||
| Line 72: | Line 86: | ||
| \newcommand{\sg}{\mathrm{sgn}} | \newcommand{\sg}{\mathrm{sgn}} | ||
| \newcommand{\supnorm}[1]{\left\|#1\right\|_{\infty}} | \newcommand{\supnorm}[1]{\left\|#1\right\|_{\infty}} | ||
| + | \newcommand{\thv}{{\theta_\star}} | ||
| \newcommand{\tmu}{ {\tilde{\mu}}} | \newcommand{\tmu}{ {\tilde{\mu}}} | ||
| \newcommand{\Tset}{ {\mathsf{T}}} | \newcommand{\Tset}{ {\mathsf{T}}} | ||
| \newcommand{\Tsigma}{ {\mathcal{T}}} | \newcommand{\Tsigma}{ {\mathcal{T}}} | ||
| - | \newcommand{\tv}[1]{\left\|#1\right\|_{TV}} | + | \newcommand{\ttheta}{{\tilde \theta}} |
| + | \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} | ||
defs.txt · Last modified: 2023/11/14 18:37 by rdouc
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