# δ-box

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## English[edit]

### Noun[edit]

- (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*.

#### Usage notes[edit]

The "*δ*-box with corner at *a*" can be denoted symbolically as *Q*(*a*; *δ*). The 'δ' in "*δ*-box" can be subject without notice to substitution by any numerical expression, with the hyphen being replaced by a space.