Symbols:Brackets/Square Brackets/Closed Interval
Jump to navigation
Jump to search
Closed Interval
- $\closedint a b$
The closed interval between $a$ and $b$ is the set:
- $\closedint a b := a^\succcurlyeq \cap b^\preccurlyeq = \set {s \in S: \paren {a \preccurlyeq s} \land \paren {s \preccurlyeq b} }$
where:
- $a^\succcurlyeq$ denotes the upper closure of $a$
- $b^\preccurlyeq$ denotes the lower closure of $b$.
The $\LaTeX$ code for \(\closedint a b\) is \closedint a b
.
Deprecated
- $\sqbrk {a, b}$
The notation for a closed interval is more commonly seen as:
- $\sqbrk {a, b} := \set {x \in S: a \le x \le b}$
However, as the $\sqbrk {a, b}$ notation is ambiguous, its use is deprecated on $\mathsf{Pr} \infty \mathsf{fWiki}$.
The $\LaTeX$ code for \(\sqbrk {a, b}\) is \sqbrk {a, b}
.