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multiplication. n. 1. (Mathematics) an arithmetical operation, defined initially in terms of repeated addition, usually written a Ã b, a.b, or ab, by which the product of two quantities is calculated: to multiply a by positive integral b is to add a to itself b times.
scalar multiplication. noun. 1. (maths) an operation used in the definition of a vector space in which the product of a scalar and a vector is a vector, the operation is distributive over the addition of both scalars and vectors, and is associative with multiplication of scalars.