Category:Definitions/Half-Open Rectangles

This category contains definitions related to Half-Open Rectangles.
Related results can be found in Category:Half-Open Rectangles.

Let $a_1, \ldots, a_n, b_1, \ldots, b_n$ be real numbers.

The set:

$\ds \prod_{i \mathop = 1}^n \hointr {a_i} {b_i} = \hointr {a_1} {b_1} \times \cdots \times \hointr {a_n} {b_n} \subseteq \R^n$

is called a half-open rectangle in $\R^n$ or half-open $n$-rectangle.

Here, $\times$ denotes Cartesian product.