Symbols:Brackets/Left Half-Open Interval
Jump to navigation
Jump to search
Left Half-Open Interval
- $\hointl a b$
The left half-open interval between $a$ and $b$ is the set:
- $\hointl a b := a^\succ \cap b^\preccurlyeq = \set {s \in S: \paren {a \prec s} \land \paren {s \preccurlyeq b} }$
where:
- $a^\succ$ denotes the strict upper closure of $a$
- $b^\preccurlyeq$ denotes the lower closure of $b$.
The $\LaTeX$ code for \(\hointl a b\) is \hointl a b
.
Deprecated
- $\left ({a, b}\right]$
The notation for a left half-open interval is more commonly seen as:
- $\left ({a, b}\right] := \set {x \in S: a < x \le b}$
However, for consistency with other interval notation, its use is deprecated on $\mathsf{Pr} \infty \mathsf{fWiki}$.
The $\LaTeX$ code for \(\left ({a, b}\right]\) is \left ({a, b}\right]
.