δ-box
（ plural ）
Quizzes for review
(mathematical analysis) A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called the corner
of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ.
δ-box
Fix a point p and let B be a k-dimensional δ-box with corner at p; it is defined as the Cartesian product of k half-closed intervals, each closed at the coordinate of p, open at its supremum, and of length δ.
Fix a point p and let B be a k-dimensional δ-box with corner at p; it is defined as the Cartesian product of k half-closed intervals, each closed at the coordinate of p, open at its supremum, and of length δ.
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