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:
“It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.”
—Henry David Thoreau (1817–1862)
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)