N-cube

In mathematics, an n-cube is a set of natural numbers that are sums of the form:

[\sum_^n c_i s_i \;\;\;\;\;\;\;\;\; (c_i\in \)]

for some finite set [S=\].

In some sense, this mimics a geometric cube, which can be written [C=\] with [c_i] as above. Indeed, an n-cube can be written as [\] where C and S are as above and [\cdot] is the dot product. It is also a particular case of a generalized arithmetic progression.

N-cube

See also