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defs [2021/03/17 19:51]
rdouc
defs [2023/11/05 15:06]
rdouc
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 22: 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 29: 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 62: Line 66:
 \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 86: Line 92:
 \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}
defs.txt ยท Last modified: 2023/11/14 18:37 by rdouc