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linear map definition

<mathematics> (Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v).

(1996-09-30)

Nearby terms: linear function « Linear Graph Notation « linear logic « linear map » linear programming » linear space » linear transformation

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