Symbols:\mathcal

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Font Description

Mathcal is a calligraphic font built into $\LaTeX$.

Its uppercase alphabet is displayed here:

$\mathcal A$ $\mathcal B$ $\mathcal C$ $\mathcal D$ $\mathcal E$ $\mathcal F$ $\mathcal G$ $\mathcal H$ $\mathcal I$ $\mathcal J$ $\mathcal K$ $\mathcal L$ $\mathcal M$ $\mathcal N$ $\mathcal O$ $\mathcal P$ $\mathcal Q$ $\mathcal R$ $\mathcal S$ $\mathcal T$ $\mathcal U$ $\mathcal V$ $\mathcal W$ $\mathcal X$ $\mathcal Y$ $\mathcal Z$

The individual letters of this font and their various uses on $\mathsf{Pr} \infty \mathsf{fWiki}$ are listed on this page as well as on the pages for the letters themselves.

The $\LaTeX$ code for $\mathcal A$ for example is:

\mathcal A

$\mathcal B$

This is used to denote a basis in topology.

An example of an introduction of this would be:

"Let $\left({X, \tau}\right)$ be a topological space."
"Let $\mathcal B$ be a basis for $\tau$."

$\mathcal C$

This is used to denote a cover.

An example of an introduction of this would be:

"Let $S$ be a set."
"Let $\mathcal C$ be a cover for $S$."

$\mathcal O$

This is used for Big-O Notation.

$\mathcal P$

This is used to denote power set.

To introduce the power set of a set $S$ we would state:

"Let $S$ be a set, and let $\mathcal P \left({S}\right)$ be its power set."

$\mathcal R$

This is used for binary relations.

For example to introduce a binary relation on $S \times T$ we would state:

"Let $\mathcal R \subseteq S \times T$ be a relation."