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.