Definition:Half-Open Rectangle/Also defined as
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Half-Open Rectangle: Also known as
Sets of the form:
- $\horectl {\mathbf a} {\mathbf b} \:= \ds \prod_{i \mathop = 1}^n \hointl {a_i} {b_i}$
can equally well be called half-open rectangles as those of the form $\horectr {\mathbf a} {\mathbf b}$.
However, these are rarely encountered.
Technical Note
The $\LaTeX$ code for \(\horectl {\mathbf a} {\mathbf b}\) is \horectl {\mathbf a} {\mathbf b}
.
This is a custom $\mathsf{Pr} \infty \mathsf{fWiki}$ command designed to implement Wirth interval notation and its derivatives.
The name is derived from half-open rectangle on the left.
Sources
- 2005: René L. Schilling: Measures, Integrals and Martingales: $\S 3$