ALL meanings of cartesian product
Car·te·sian prod·uct
C c - noun cartesian product 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 3
- noun Definition of cartesian product in Technology (mathematics) (After Renee Descartes, French philosper and mathematician) The Cartesian product of two sets A and B is the set A x B = {(a, b) | a in A, b in B}. I.e. the product set contains all possible combinations of one element from each set. The idea can be extended to products of any number of sets. If we consider the elements in sets A and B as points along perpendicular axes in a two-dimensional space then the elements of the product are the "Cartesian coordinates" of points in that space. See also tuple. 1
- noun cartesian product 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. 1
- noun cartesian product (set theory) The set of all possible pairs of elements whose components are members of two sets. Notation. 0
- noun cartesian product (databases) All possible combinations of rows between all of the tables listed. 0