# Definition:Braces

## Definition

Braces is the name given to the pair of curly brackets:

$\set {\cdots}$

These are conventionally used mostly for:

$(1): \quad$ Set delimiters, to membership of sets and classes.
$(2): \quad$ 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:
$\displaystyle {n \brace k}$

On $\mathsf{Pr} \infty \mathsf{fWiki}$, which implements the $\LaTeX$ mathematical markup language, braces are also used to delimit arguments to $\LaTeX$ commands.