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Cartesian closed category and Exponentiation

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Cartesian closed category and Exponentiation

Cartesian closed category vs. Exponentiation

In category theory, a category is considered 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. Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.

Similarities between Cartesian closed category and Exponentiation

Cartesian closed category and Exponentiation have 12 things in common (in Unionpedia): Associative property, Cartesian closed category, Computer science, Continuous function, Empty product, Exponential object, Function (mathematics), Group (mathematics), Initial and terminal objects, Isomorphism, Set (mathematics), Set theory.

Associative property

In mathematics, the associative property is a property of some binary operations.

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Cartesian closed category

In category theory, a category is considered 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.

Cartesian closed category and Cartesian closed category · Cartesian closed category and Exponentiation · See more »

Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.

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Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

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Empty product

In mathematics, an empty product, or nullary product, is the result of multiplying no factors.

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Exponential object

In mathematics, specifically in category theory, an exponential object or map object is the categorical generalization of a function space in set theory.

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Cartesian closed category and Function (mathematics) · Exponentiation and Function (mathematics) · See more »

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Cartesian closed category and Group (mathematics) · Exponentiation and Group (mathematics) · See more »

Initial and terminal objects

In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X. The dual notion is that of a terminal object (also called terminal element): T is terminal if for every object X in C there exists a single morphism X → T. Initial objects are also called coterminal or universal, and terminal objects are also called final.

Cartesian closed category and Initial and terminal objects · Exponentiation and Initial and terminal objects · See more »

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.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Cartesian closed category and Set (mathematics) · Exponentiation and Set (mathematics) · See more »

Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

Cartesian closed category and Set theory · Exponentiation and Set theory · See more »

The list above answers the following questions

Cartesian closed category and Exponentiation Comparison

Cartesian closed category has 60 relations, while Exponentiation has 266. As they have in common 12, the Jaccard index is 3.68% = 12 / (60 + 266).

References

This article shows the relationship between Cartesian closed category and Exponentiation. To access each article from which the information was extracted, please visit:

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