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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. 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.

multiplication

Compound Com"pound, a. [OE. compouned, p. p. of compounen. See Compound, v. t.] Composed of two or more elements, ingredients, parts; produced by the union of several ingredients, parts, or things; composite; as, a compound word. Compound substances are made up of two or more simple substances. --I. Watts. Compound addition, subtraction, multiplication, division (Arith.), the addition, subtraction, etc., of compound numbers. Compound crystal (Crystallog.), a twin crystal, or one seeming to be made up of two or more crystals combined according to regular laws of composition. Compound engine (Mech.), a form of steam engine in which the steam that has been used in a high-pressure cylinder is made to do further service in a larger low-pressure cylinder, sometimes in several larger cylinders, successively. Compound ether. (Chem.) See under Ether. Compound flower (Bot.), a flower head resembling a single flower, but really composed of several florets inclosed in a common calyxlike involucre, as the sunflower or dandelion. Compound fraction. (Math.) See Fraction. Compound fracture. See Fracture. Compound householder, a householder who compounds or arranges with his landlord that his rates shall be included in his rents. [Eng.] Compound interest. See Interest. Compound larceny. (Law) See Larceny. Compound leaf (Bot.), a leaf having two or more separate blades or leaflets on a common leafstalk. Compound microscope. See Microscope. Compound motion. See Motion. Compound number (Math.), one constructed according to a varying scale of denomination; as, 3 cwt., 1 qr., 5 lb.; -- called also denominate number. Compound pier (Arch.), a clustered column. Compound quantity (Alg.), a quantity composed of two or more simple quantities or terms, connected by the sign + (plus) or - (minus). Thus, a + b - c, and bb - b, are compound quantities. Compound radical. (Chem.) See Radical. Compound ratio (Math.), the product of two or more ratios; thus ab:cd is a ratio compounded of the simple ratios a:c and b:d. Compound rest (Mech.), the tool carriage of an engine lathe. Compound screw (Mech.), a screw having on the same axis two or more screws with different pitch (a differential screw), or running in different directions (a right and left screw). Compound time (Mus.), that in which two or more simple measures are combined in one; as, 6-8 time is the joining of two measures of 3-8 time. Compound word, a word composed of two or more words; specifically, two or more words joined together by a hyphen.

Compound Com"pound, a. [OE. compouned, p. p. of compounen. See Compound, v. t.] Composed of two or more elements, ingredients, parts; produced by the union of several ingredients, parts, or things; composite; as, a compound word. Compound substances are made up of two or more simple substances. --I. Watts. Compound addition, subtraction, multiplication, division (Arith.), the addition, subtraction, etc., of compound numbers. Compound crystal (Crystallog.), a twin crystal, or one seeming to be made up of two or more crystals combined according to regular laws of composition. Compound engine (Mech.), a form of steam engine in which the steam that has been used in a high-pressure cylinder is made to do further service in a larger low-pressure cylinder, sometimes in several larger cylinders, successively. Compound ether. (Chem.) See under Ether. Compound flower (Bot.), a flower head resembling a single flower, but really composed of several florets inclosed in a common calyxlike involucre, as the sunflower or dandelion. Compound fraction. (Math.) See Fraction. Compound fracture. See Fracture. Compound householder, a householder who compounds or arranges with his landlord that his rates shall be included in his rents. [Eng.] Compound interest. See Interest. Compound larceny. (Law) See Larceny. Compound leaf (Bot.), a leaf having two or more separate blades or leaflets on a common leafstalk. Compound microscope. See Microscope. Compound motion. See Motion. Compound number (Math.), one constructed according to a varying scale of denomination; as, 3 cwt., 1 qr., 5 lb.; -- called also denominate number. Compound pier (Arch.), a clustered column. Compound quantity (Alg.), a quantity composed of two or more simple quantities or terms, connected by the sign + (plus) or - (minus). Thus, a + b - c, and bb - b, are compound quantities. Compound radical. (Chem.) See Radical. Compound ratio (Math.), the product of two or more ratios; thus ab:cd is a ratio compounded of the simple ratios a:c and b:d. Compound rest (Mech.), the tool carriage of an engine lathe. Compound screw (Mech.), a screw having on the same axis two or more screws with different pitch (a differential screw), or running in different directions (a right and left screw). Compound time (Mus.), that in which two or more simple measures are combined in one; as, 6-8 time is the joining of two measures of 3-8 time. Compound word, a word composed of two or more words; specifically, two or more words joined together by a hyphen.

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

- In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more...

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

- expression. For example, in mathematics and most computer languages, multiplication is granted a higher precedence than addition, and it has been this way...

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

- The multiplication sign, also known as the times sign or the dimension sign, is the symbol ×. While similar to a lowercase X, the form is properly a rotationally...

- In mathematics, Vector multiplication refers to one of several techniques for the multiplication of two (or more) vectors with themselves. It may concern...

- consists of keys used to input numbers and function commands (addition, multiplication, square-root, etc.) Display panel (output device) – displays input numbers...

- Multiplication factor may refer to: Neutron multiplication factor, in a nuclear chain reaction Multiplication factor, a term used in digital photography...

- Because matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms...

- In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more...

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

- expression. For example, in mathematics and most computer languages, multiplication is granted a higher precedence than addition, and it has been this way...

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

- The multiplication sign, also known as the times sign or the dimension sign, is the symbol ×. While similar to a lowercase X, the form is properly a rotationally...

- In mathematics, Vector multiplication refers to one of several techniques for the multiplication of two (or more) vectors with themselves. It may concern...

- consists of keys used to input numbers and function commands (addition, multiplication, square-root, etc.) Display panel (output device) – displays input numbers...

- Multiplication factor may refer to: Neutron multiplication factor, in a nuclear chain reaction Multiplication factor, a term used in digital photography...

- Because matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms...

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