Definition:Half-Open Rectangle/Also defined as

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: $\S 3$