9. Suppose a data cube, C, has D dimensions, and the base cuboid contains k distinct tuples. (a) Present a formula to calculate the minimum number of cells that the cube, C, may contain. (b) Present a formula to calculate the maximum number of cells that C may contain. (c) Answer parts (a), (b) as if the count in each cube cell must be no less than a threshold, v. (d) Answer parts la) and (b) as if only closed cells are considered (with the minimum count threshold, v).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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9. Suppose a data cube, C, has D dimensions, and the base cuboid contains k distinct tuples.
(a) Present a formula to calculate the minimum number of cells that the cube, C, may contain.
(b) Present a formula to calculate the maximum number of cells that C
may
contain,
(c) Answer parts (a), (b) as if the count in each cube cell must be no less than a threshold, v.
(d) Answer parts (a) and (b) as if only closed cells are considered (with the minimum count threshold, v).
Transcribed Image Text:9. Suppose a data cube, C, has D dimensions, and the base cuboid contains k distinct tuples. (a) Present a formula to calculate the minimum number of cells that the cube, C, may contain. (b) Present a formula to calculate the maximum number of cells that C may contain, (c) Answer parts (a), (b) as if the count in each cube cell must be no less than a threshold, v. (d) Answer parts (a) and (b) as if only closed cells are considered (with the minimum count threshold, v).
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