commutative product

commutative product
мат.
коммутативное произведение

English-Russian scientific dictionary. 2008.

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  • Product integral — Product integrals are a counterpart of standard integrals of infinitesimal calculus. They were first developed by the mathematician Vito Volterra in 1887 to solve systems of linear differential equations. Since then, product integrals have found… …   Wikipedia

  • Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… …   Wikipedia

  • Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with …   Wikipedia

  • 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… …   Wikipedia

  • commutative law — Logic. a law asserting that the order in which certain logical operations are performed is indifferent. [1835 45] * * * Two closely related laws of number operations. In symbols, they are stated: a + b = b + a and ab = ba. Stated in words:… …   Universalium

  • Product (category theory) — In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct… …   Wikipedia

  • Product rule — For Euler s chain rule relating partial derivatives of three independent variables, see Triple product rule. For the counting principle in combinatorics, see Rule of product. Topics in Calculus Fundamental theorem Limits of functions Continuity… …   Wikipedia

  • Product category — In the mathematical field of category theory, the product of two categories C and D , denoted nowrap| C × D and called a product category, is a straightforward extension of the concept of the Cartesian product of two sets.DefinitionThe product… …   Wikipedia

  • commutative law — noun : a law applicable to certain mathematical operations: the order of the elements involved is immaterial * * * Logic. a law asserting that the order in which certain logical operations are performed is indifferent. [1835 45] * * * commutative …   Useful english dictionary

  • commutative algebra — noun : algebra in which the rule of multiplication is such that the product of a by b is the same as the product of b by a …   Useful english dictionary

  • Cup product — In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle of degree p + q. This defines an associative (and distributive) graded commutative product… …   Wikipedia


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