cartesian product of two sets

См. также в других словарях:

• Cartesian product — Cartesian square redirects here. For Cartesian squares in category theory, see Cartesian square (category theory). In mathematics, a Cartesian product (or product set) is a construction to build a new set out of a number of given sets. Each… …   Wikipedia

• Cartesian product — The Cartesian product of two sets, A and B (written A × B), is the set of all ordered pairs whose first member is an element of A, and whose second member is an element of B …   Philosophy dictionary

• Cartesian product — noun The set of all possible pairs of elements whose components are members of two sets. Notation: . Syn: direct product …   Wiktionary

• 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

• Cartesian product — Math. the collection of all ordered pairs of two given sets such that the first elements of the pairs are chosen from one set and the second elements from the other set: this procedure generalizes to an infinite number of sets. [1955 60] * * * …   Universalium

• Cartesian product — noun the set of elements common to two or more sets the set of red hats is the intersection of the set of hats and the set of red things • Syn: ↑intersection, ↑product • Hypernyms: ↑set …   Useful english dictionary

• Cartesian product — noun Date: 1958 a set that is constructed from two given sets and comprises all pairs of elements such that the first element of the pair is from the first set and the second is from the second set …   New Collegiate Dictionary

• Cartesian — means of or relating to the French philosopher and mathematician René Descartes mdash; from his name mdash; Rene Des Cartes .See:*Cartesian dualism * Cartesian Meditations , a work by Edmund Husserl * Cartesian linguistics , a work by Noam… …   Wikipedia

• Direct product — In mathematics, one can often define a direct product of objects already known, giving a new one. This is generally the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one… …   Wikipedia

• Cartesian closed category — In category theory, a category is cartesian closed if, roughly speaking, any morphism defined on a product of two objects can be naturally identified with a morphism defined on one of the factors. These categories are particularly important in… …   Wikipedia

• 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