Multiplication

Multiplication Mul`ti*pli*ca"tion, n. [L. multiplicatio: cf. F. multiplication. See {Multiply}.] 1. The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the multiplication of the human species by natural generation. [1913 Webster]

The increase and multiplication of the world. --Thackeray. [1913 Webster]

2. (Math.) The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of division. [1913 Webster]

Note: The word multiplication is sometimes used in mathematics, particularly in multiple algebra, to denote any distributive operation expressed by one symbol upon any quantity or any thing expressed by another symbol. Corresponding extensions of meaning are given to the words multiply, multiplier, multiplicand, and product. Thus, since [phi](x + y) = [phi]x + [phi]y (see under {Distributive}), where [phi](x + y), [phi]x, and [phi]y indicate the results of any distributive operation represented by the symbol [phi] upon x + y, x, and y, severally, then because of many very useful analogies [phi](x + y) is called the product of [phi] and x + y, and the operation indicated by [phi] is called multiplication. Cf. {Facient}, n., 2. [1913 Webster]

3. (Bot.) An increase above the normal number of parts, especially of petals; augmentation. [1913 Webster]

4. The art of increasing gold or silver by magic, -- attributed formerly to the alchemists. [Obs.] --Chaucer. [1913 Webster]

{Multiplication table}, a table giving the product of a set of numbers multiplied in some regular way; commonly, a table giving the products of the first ten or twelve numbers multiplied successively by 1, 2, 3, etc., up to 10 or 12. Called also a {times table}, used by students in elementary school prior to memorization of the table. [1913 Webster]