Faster access than browser!Similarities between Cartesian product and Direct product
Cartesian product and Direct product have 14 things in common (in Unionpedia): Axiom of choice, Binary relation, Category theory, Coproduct, Direct product, Euclidean space, Indexed family, Isomorphism, Mathematics, Product (category theory), Product topology, Set (mathematics), Tensor product of graphs, Tuple.
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and Cartesian product · Axiom of choice and Direct product ·
Binary relation
In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.
Binary relation and Cartesian product · Binary relation and Direct product ·
Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).
Cartesian product and Category theory · Category theory and Direct product ·
Coproduct
In category theory, the coproduct, or categorical sum, is a category-theoretic construction which includes as examples the disjoint union of sets and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces.
Cartesian product and Coproduct · Coproduct and Direct product ·
Direct product
In mathematics, one can often define a direct product of objects already known, giving a new one.
Cartesian product and Direct product · Direct product and Direct product ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Cartesian product and Euclidean space · Direct product and Euclidean space ·
Indexed family
In mathematics, an indexed family is informally a collection of objects, each associated with an index from some index set.
Cartesian product and Indexed family · Direct product and Indexed family ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
Cartesian product and Isomorphism · Direct product and Isomorphism ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Cartesian product and Mathematics · Direct product and Mathematics ·
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 product of rings and the product of topological spaces.
Cartesian product and Product (category theory) · Direct product and Product (category theory) ·
Product topology
In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology.
Cartesian product and Product topology · Direct product and Product topology ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Cartesian product and Set (mathematics) · Direct product and Set (mathematics) ·
Tensor product of graphs
In graph theory, the tensor product G × H of graphs G and H is a graph such that.
Cartesian product and Tensor product of graphs · Direct product and Tensor product of graphs ·
Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
The list above answers the following questions
- What Cartesian product and Direct product have in common
- What are the similarities between Cartesian product and Direct product
Cartesian product and Direct product Comparison
Cartesian product has 61 relations, while Direct product has 49. As they have in common 14, the Jaccard index is 12.73% = 14 / (61 + 49).
References
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