Welcome to Randal Douc's wiki

A collaborative site on maths but not only!

User Tools

Site Tools


defs

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
defs [2020/03/06 12:13]
douc
defs [2023/11/14 18:37]
rdouc
Line 1: Line 1:
 +/* 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}} 
 +$$
defs.txt · Last modified: 2023/11/14 18:37 by rdouc