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

The $\LaTeX$ code for \(\{\) is \{  or \lbrace.

The $\LaTeX$ code for \(\}\) is \}  or \rbrace.


Braces are used in the following contexts:

To denote a set, for example: $\set {a, b, c}$
To denote a Laplace transform: $\laptrans {\map f t}$
To denote a Stirling number of the second kind: $\ds {n \brace k}$
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 $x$: $\fractpart x = x - \floor x$
As general parameter delimiters in $\TeX$ and $\LaTeX$.

The $\LaTeX$ code for \(\set {a, b, c}\) is \set {a, b, c} .

The $\LaTeX$ code for \(\laptrans {\map f t}\) is \laptrans {\map f t} .

The $\LaTeX$ code for \(\ds {n \brace k}\) is \ds {n \brace k} .

The $\LaTeX$ code for \(\begin{cases} a & : n = 0 \\ b & : n \ne 0 \end{cases}\) is \begin{cases} a & : n = 0 \\ b & : n \ne 0 \end{cases} .

The $\LaTeX$ code for \(\fractpart x\) is \fractpart x .