Mathematical logic and foundations Concept
Cartesian product
Summary
The Cartesian product of two sets is a set of ordered pairs. The first entry of each pair is in the first set, and the second entry is in the second set. Each such pair is in the product.
Where this leads
23 pages build on this one.
- Relational structure
- Partial algebra
- Epigraph
- Direct product of algebras
- Product
- Polymorphism of a relation
- Ternary operation
- Projection operation
- Hyperstructure
- Product category
- Higher-order logic
- Finitary operation
- Product sigma-algebra
- Infinitary operation
- Relational clone
- Ultraproduct
- Limit
- Multialgebra
- Structure
- Product order
- Uniform space
- Arity
- Many-sorted algebra
Further reading
- Web https://en.wikipedia.org/wiki/Cartesian_product, lead section
About this page
| Tag | 09CEDJYBKP |
|---|---|
| URI | m2://09CEDJYBKP |
| Aliases | product-of-sets, cross-product-of-sets |
| Kind | concept |
| Writing | W1 stated |
| MSC | 03E20 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Used by
- Relational structure
- Partial algebra
- Epigraph
- Direct product of algebras
- Product
- Polymorphism of a relation
- Ternary operation
- Projection operation
- Hyperstructure
- Product category
- Higher-order logic
- Finitary operation
- Product sigma-algebra
- Infinitary operation
- Relational clone
- Ultraproduct
- Limit
- Multialgebra
- Structure
- Product order
- Uniform space
- Arity
- Many-sorted algebra