Symbols:Brackets/Braces

Symbol
Braces is the name given to the pair of curly brackets:
 * $\set {\cdots}$

{{LatexFor|for = \{ |code2 = \lbrace}}

{{LatexFor|for = \} |code2 = \rbrace}}

Usage
Braces are conventionally used in the following contexts:


 * $(1): \quad$ Set delimiters, to membership of sets and classes, for example: $\set {a, b, c}$


 * $(2): \quad$ the fractional part of a real number:
 * $\fractpart x := x - \floor x$
 * where $\floor x$ denotes the floor of $x$.


 * $(3): \quad$ Karamata notation for the Stirling numbers of the second kind:
 * $\ds {n \brace k}$


 * $(4): \quad$ To denote a Laplace transform: $\laptrans {\map f t}$


 * $(5): \quad$ In a definition by cases, for example: $n! = \begin{cases} 1 & : n = 0 \\ n \paren {n - 1} & : n \ne 0 \end{cases}$

On, which implements the $\LaTeX$ mathematical markup language, braces are also used to delimit arguments to $\LaTeX$ commands.