Latex tips & tricks
Nice looking function definitions
\usepackage{mathtools}
$f \coloneqq \mathbb{N} \mapsto \mathbb{R}$
Set builder notation
\newcommand{setbuilder}[2]{\ensuremath{\{#1 \,|\, #2\}}}
$A = \setbuilder{w \in \mathbb{R}}{w \geq 0}$
Local (chapter or section) label names
\newcommand{chplabel}[1]{\label{\thechapter:#1}}
\newcommand{chpref}[1]{\ref{\thechapter:#1}}
\newcommand{seclabel}[1]{\label{\thesection:#1}}
\newcommand{secref}[1]{\ref{\thesection:#1}}
Log-sum-exp
\newcommand{\lse}{\mathrm{L}\overset{K}{\underset{i=1}{\mathrm{\Sigma}}}\mathrm{E}}
Indicator function
\usepackage{dsfont}
\mathds{1}_{\{ x = y \}}
Mathtools for sums and products
\usepackage{mathtools}
n = \sum_{\mathclap{i \in \mathbb{R} \,|\, i>10}} i^2
n = \sum_{\mathclap{\substack{i \in \mathbb{R} \\ i>10}}} i^2
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