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Multiplication table

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. The increase and multiplication of the world. --Thackeray. 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. 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. 3. (Bot.) An increase above the normal number of parts, especially of petals; augmentation. 4. The art of increasing gold or silver by magic, -- attributed formerly to the alchemists. [Obs.] --Chaucer. 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.

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. The increase and multiplication of the world. --Thackeray. 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. 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. 3. (Bot.) An increase above the normal number of parts, especially of petals; augmentation. 4. The art of increasing gold or silver by magic, -- attributed formerly to the alchemists. [Obs.] --Chaucer. 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.

- mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an...

- Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the...

- 15625 in decimal) See also Booth's multiplication algorithm. The binary multiplication table is the same as the truth table of the logical conjunction operation...

- The Chinese multiplication table is the first requisite for using the Rod calculus for carrying out multiplication, division, the extraction of square...

- common example of such a table is a multiplication table. In multi-dimensional tables, each cell in the body of the table (and the value of that cell) relates...

- A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are used. Efficient...

- group's elements in a square table reminiscent of an addition or multiplication table. Many properties of a group – such as whether or not it is abelian...

- of two multiplication methods used by scribes, is a systematic method for multiplying two numbers that does not require the multiplication table, only...

- bivector results. The product can be given by a multiplication table, such as the one here. This table, due to Cayley, gives the product of orthonormal...

- group is abelian, a table (matrix) – known as a Cayley table – can be constructed in a similar fashion to a multiplication table. If the group is G =...

- Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the...

- 15625 in decimal) See also Booth's multiplication algorithm. The binary multiplication table is the same as the truth table of the logical conjunction operation...

- The Chinese multiplication table is the first requisite for using the Rod calculus for carrying out multiplication, division, the extraction of square...

- common example of such a table is a multiplication table. In multi-dimensional tables, each cell in the body of the table (and the value of that cell) relates...

- A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are used. Efficient...

- group's elements in a square table reminiscent of an addition or multiplication table. Many properties of a group – such as whether or not it is abelian...

- of two multiplication methods used by scribes, is a systematic method for multiplying two numbers that does not require the multiplication table, only...

- bivector results. The product can be given by a multiplication table, such as the one here. This table, due to Cayley, gives the product of orthonormal...

- group is abelian, a table (matrix) – known as a Cayley table – can be constructed in a similar fashion to a multiplication table. If the group is G =...

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