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) and (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).