Mathematical Definition
Given a set of integer coin values {w1, w2, ..., wn} where w1 = 1 and wj < wj+1 for 1 ≤ j ≤ n − 1, and a positive integer W, find a set of non-negative integers {x1, x2, ..., xn} which minimize
subject to
Read more about this topic: Change-making Problem
Famous quotes containing the words mathematical and/or definition:
“What is history? Its beginning is that of the centuries of systematic work devoted to the solution of the enigma of death, so that death itself may eventually be overcome. That is why people write symphonies, and why they discover mathematical infinity and electromagnetic waves.”
—Boris Pasternak (1890–1960)
“The very definition of the real becomes: that of which it is possible to give an equivalent reproduction.... The real is not only what can be reproduced, but that which is always already reproduced. The hyperreal.”
—Jean Baudrillard (b. 1929)