Symbols:Brackets/Braces

Symbol
The braces are the "curly brackets": $\set {}$

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

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

Usage
Braces are used in the following contexts:


 * To denote a set, for example: $\set {a, b, c}$


 * To denote a Laplace transform: $\laptrans {f \paren t}$


 * To denote a Stirling number of the second kind: $\displaystyle {n \brace k}$


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


 * To denote the fractional part of a real number $x$: $\set x = x - \floor x$


 * As general parameter delimiters in $\TeX$ and $\LaTeX$.