- Cartesian product or Cartesian set,Mathematics. the set of all ordered pairs that can be formed by matching each member of one set with each member of a second set in turn.
Useful english dictionary. 2012.
Look at other dictionaries:
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 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
Cartesian coordinate system — Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple. A Cartesian coordinate system specifies each point… … Wikipedia
Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… … Wikipedia
Cartesian materialism — In philosophy of mind, Cartesian materialism is the idea that at some place (or places) in the brain, there is some set of information that directly corresponds to our conscious experience. Contrary to its name, Cartesian materialism is not a… … Wikipedia
set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… … Universalium
Cartesian linguistics — Noam Chomsky s Cartesian Linguistics: A Chapter in the History of Rationalist Thought , published in 1966, has the purpose of deepening our understanding of the nature of language and the mental processes and structures that underlies its use and … Wikipedia
Cartesian product of graphs — In graph theory, the cartesian product G ◻ H of graphs G and H is a graph such that * the vertex set of G ◻ H is the cartesian product V(G) × V(H) ; and * any two vertices (u,u ) and (v,v ) are adjacent in G ◻ H if and only if either ** u = v and … Wikipedia
Cartesian diver — A Cartesian diver or Cartesian devil is a classic science experiment, named for René Descartes, which demonstrates the principle of buoyancy (Archimedes’ principle) and the ideal gas law.Experiment descriptionThe experiment is set up by placing a … Wikipedia
Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects … Wikipedia