Definition:Braces
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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.