feat: add macros for sigma-algebras, Borel sets, events, collections, and script letters

demo-include-in-header.qmd

@@ -127,6 +127,8 @@ cat(':::\n::::\n')
 | IID distributed | `X_i \siid \Normal(\m, \ss)` | $X_i \siid \Normal(\m, \ss)$ |
 | Vector: mu | `\vm` | $\vm$ |
 | Hat beta | `\hb` | $\hb$ |
+| Sigma-algebra | `\salg` | $\salg$ |
+| Borel sigma-algebra | `\borel` | $\borel$ |
 
 ## Color macros
 

demo-shortcode.qmd

@@ -36,6 +36,8 @@ The table below uses macros defined with `\def` in `macros.qmd`. These macros wo
 | IID distributed | `$X_i \siid \Normal(\m, \ss)$` | $X_i \siid \Normal(\m, \ss)$ |
 | Vector: mu | `$\vm$` | $\vm$ |
 | Hat beta | `$\hb$` | $\hb$ |
+| Sigma-algebra | `$\salg$` | $\salg$ |
+| Borel sigma-algebra | `$\borel$` | $\borel$ |
 
 ## Color macros
 

interpretations.tsv

@@ -830,6 +830,27 @@ name	interpretation
 \bbQ	blackboard bold Q (rational numbers)
 \bbR	blackboard bold R (real numbers)
 \bbC	blackboard bold C (complex numbers)
+\mathscr	script font operator (fallback to \mathcal)
+\scrA	script A symbol 𝒜
+\scrB	script B symbol ℬ
+\scrC	script C symbol 𝒞
+\scrF	script F symbol ℱ
+\scrS	script S symbol 𝒮
+\scrT	script T symbol 𝒯
+\salg	sigma-algebra on S symbol 𝒮
+\salgS	sigma-algebra on S symbol 𝒮 (alias for \salg)
+\salgT	sigma-algebra on T symbol 𝒯
+\sigmaalg	sigma-algebra symbol (alias for \salg)
+\sigmaalgebra	sigma-algebra symbol (alias for \salg)
+\borel	Borel sigma-algebra symbol ℬ
+\Borel	Borel sigma-algebra symbol (alias for \borel)
+\borelalg	Borel sigma-algebra symbol (alias for \borel)
+\events	event space / events sigma-algebra symbol ℱ
+\eventspace	event space symbol (alias for \events)
+\coll	collection of sets symbol 𝒞
+\collection	collection of sets symbol (alias for \coll)
+\gensalg	sigma-algebra generated by argument σ(·)
+\gensigmaalg	generated sigma-algebra (alias for \gensalg)
 \inas	convergence almost surely arrow
 \indist	convergence in distribution arrow
 \inprob	convergence in probability arrow

macros.qmd

@@ -1,3 +1,4 @@
+\providecommand{\mathscr}[1]{\mathcal{#1}}
 \providecommand{\cbl}[1]{\mathopen{}\left\{#1\right.}
 \providecommand{\cb}[1]{\mathopen{}\left\{#1\right\}\mathclose{}}
 \providecommand{\cbmat}[1]{\mathopen{}\left\{\begin{matrix}#1\end{matrix}\right\}\mathclose{}}
@@ -595,6 +596,26 @@
 \def\bbQ{\mathbb{Q}}
 \def\bbR{\mathbb{R}}
 \def\bbC{\mathbb{C}}
+\def\scrA{\mathscr{A}}
+\def\scrB{\mathscr{B}}
+\def\scrC{\mathscr{C}}
+\def\scrF{\mathscr{F}}
+\def\scrS{\mathscr{S}}
+\def\scrT{\mathscr{T}}
+\def\salg{\scrS}
+\def\salgS{\scrS}
+\def\salgT{\scrT}
+\def\sigmaalg{\salg}
+\def\sigmaalgebra{\salg}
+\def\borel{\scrB}
+\def\Borel{\borel}
+\def\borelalg{\borel}
+\def\events{\scrF}
+\def\eventspace{\events}
+\def\coll{\scrC}
+\def\collection{\coll}
+\providecommand{\gensalg}[1]{\sigma\paren{#1}}
+\providecommand{\gensigmaalg}[1]{\gensalg{#1}}
 \def\inas{\overset{\scriptstyle a.s.}{\longrightarrow}}
 \def\indist{\overset{\scriptstyle d}{\longrightarrow}}
 \def\inprob{\overset{\scriptstyle p}{\longrightarrow}}