Cubes

The members mi1… miN that define a cell c in the grid are called this cell’s coordinates. We write cj = mij.

An instance of a multidimensional grid whose cells contain data values is for some reason called a “cube”.

So a cube is a set {Q, V} where Q is an N-grid and V is a function such that V(mi1… miN ) is the data value corresponding to the cell c(mi1… miN ).

For convenience, we fix the order of dimensions in a cube and the order of members in each dimension.

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