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).

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).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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