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Encyclopedia > Product (mathematics)

In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of multiplication. When matrices or members of various other associative algebras are multiplied the product usually depends on the order of the factors; in other words, matrix multiplication, and the multiplications in those other algebras, are non-commutative. For other meanings of mathematics or uses of math and maths, see Mathematics (disambiguation) and Math (disambiguation). ... A result is the final consequence of a sequence of actions or events (broadly incidents and accidents) expressed qualitatively or quantitatively, being a loss, injury, disadvantage, advantage, gain, victory or simply a value. ... In mathematics, multiplication is an elementary arithmetic operation. ... In mathematics, a divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder. ... In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram In mathematics, the complex numbers are the extension of the real numbers obtained by adjoining an imaginary unit, denoted i, which satisfies: Every complex number can be... Example showing the commutativity of addition (3 + 2 = 2 + 3) For other uses, see Commute (disambiguation). ... In mathematics, a matrix (plural matrices) is a rectangular table of elements (or entries), which may be numbers or, more generally, any abstract quantities that can be added and multiplied. ... In mathematics, an associative algebra is a vector space (or more generally, a module) which also allows the multiplication of vectors in a distributive and associative manner. ...

The product operator for the product of a series is denoted by the capital Greek letter Pi (in analogy to the use of the capital Sigma as summation symbol). In mathematics, multiplication is an elementary arithmetic operation. ...

Several products are considered in mathematics:

In mathematics, multiplication is an elementary arithmetic operation. ... Sum redirects here. ... For other uses, see Pi (disambiguation) Pi (upper case Î , lower case Ï€ or Ï–) is the sixteenth letter of the Greek alphabet. ... Results from FactBites:

 Product (mathematics) - MSN Encarta (101 words) In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. Product (mathematics), result of the multiplication of two or more quantities. For example, 8 is the product of 2 × 4 and 30 is the product of 5 * 6.
 PlanetMath: product (195 words) The word product in mathematics generally means the result of some type of multiplication operation, i.e. on vectors the scalar product, the vector product, the dyad product and the Hadamard product; on ideals the product of ideals; Such kinds of product that are associative, allow to form a product of more than two factors, which is justified by the theorem in the entry general associativity.
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