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:
 * $\ds {n \brace k}$

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