mathscr
Provides decorative script-style mathematical letters, commonly used for special mathematical sets and operators in formal notation.
Overview
Creates elegant, calligraphic-style characters particularly valued in mathematical writing for distinguishing special sets, operators, and mathematical constructs from regular variables.
- Popular in advanced mathematics for denoting function spaces, algebras, and special collections
- Often used to represent Hilbert spaces, Fourier transforms, and other mathematical objects requiring distinct notation
- Requires the mathrsfs package for full functionality
- Primarily works with uppercase letters, though some implementations support lowercase and numbers
Examples
Using script letters to denote special mathematical sets or spaces.
\mathscr{L} : \mathbb{R} \to \mathbb{R}
Representing a collection or family of sets in set theory.
\mathscr{F} = \{A_1, A_2, \ldots, A_n\}
Denoting a mathematical operator or transform.
\mathscr{H}f(x) = \int_{-\infty}^{\infty} \frac{f(t)}{x-t}\,dt