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单词 cartesian product
释义

Cartesian product


Cartesian product

n. A set of all pairs of elements (x, y) that can be constructed from given sets, X and Y, such that x belongs to X and y to Y.

Cartesian product

n 1. (Mathematics) maths logic the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs <a, b> where a is a member of A and b is a member of B. Also called: cross product 2. (Logic) maths logic the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs <a, b> where a is a member of A and b is a member of B. Also called: cross product
Thesaurus
Noun1.Cartesian product - 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"intersection, productset - a group of things of the same kind that belong together and are so used; "a set of books"; "a set of golf clubs"; "a set of teeth"
Translations

Cartesian product


cartesian product

[kär′tē·zhan ′präd·əkt] (mathematics) In reference to the product of P and Q, the set P × Q of all pairs (p,q), where p belongs to P and q belongs to Q.

Cartesian product

(mathematics)(After Renee Descartes, French philosper andmathematician) The Cartesian product of two sets A and B isthe set

A x B = a, b) | a in A, b in .

I.e. the product set contains all possible combinations of oneelement from each set. The idea can be extended to productsof any number of sets.

If we consider the elements in sets A and B as points alongperpendicular axes in a two-dimensional space then theelements of the product are the "Cartesian coordinates" ofpoints in that space.

See also tuple.

Cartesian product


  • noun

Synonyms for Cartesian product

noun the set of elements common to two or more sets

Synonyms

  • intersection
  • product

Related Words

  • set
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更新时间：2025/3/20 3:52:49