Symbols:Brackets/Right Half-Open Interval
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Right Half-Open Interval
- $\hointr a b$
The right half-open interval between $a$ and $b$ is the set:
- $\hointr a b := a^\succcurlyeq \cap b^\prec = \set {s \in S: \paren {a \preccurlyeq s} \land \paren {s \prec b} }$
where:
- $a^\succcurlyeq$ denotes the upper closure of $a$
- $b^\prec$ denotes the strict lower closure of $b$.
The $\LaTeX$ code for \(\hointr a b\) is \hointr a b
.
Deprecated
- $\left [{a, b}\right)$
The notation for a right half-open interval is more commonly seen as:
- $\left [{a, b}\right) := \set {x \in S: a \le x < b}$
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)
.