A linear combination of vectors, Sum_k{a_k x^k}, whose coefficients sum to 1 -- i.e., Sum_k{a_k} = 1.

Found on http://glossary.computing.society.informs.org/index.php?page=A.html

This concept is important, for example, in Euclidean geometry. When a stochastic matrix, A, acts on a column vector, B, the result is a column vector whose entries are affine combinations of B with coefficients from the rows in A. I think it is a better explanation of affine combination : ===Related combinations=== ===Affine geometry=== ...

Found on http://en.wikipedia.org/wiki/Affine_combination

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