In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in...
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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 two...
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geometry Cartesian morphism, formalisation of pull-back operation in category theory Cartesian oval, a curve Cartesian product, a direct product of two...
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mathematics, a product space is the Cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This...
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product in seven dimensions A product in a Künneth theorem A crossed product in von Neumann algebras A Cartesian product in set theory Cross-multiplication...
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product Interior product Outer product Tensor product In set theory, a Cartesian product is a mathematical operation which returns a set (or product set)...
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can often define a direct product of objects already known, giving a new one. This induces a structure on the Cartesian product of the underlying sets from...
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such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family...
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Lexicographic order (section Cartesian products)
on an n-ary Cartesian product of partially ordered sets; this order is a total order if and only if all factors of the Cartesian product are totally ordered...
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categorical product is the usual Cartesian product, and the terminal object is a singleton set. In the category of groups the categorical product is the Cartesian...
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