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
Last revision Both sides next revision
defs [2020/03/06 12:13]
douc
defs [2023/11/14 15:21]
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{\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{\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 ยท Last modified: 2023/11/14 18:37 by rdouc