What does codomain mean?
Definitions for codomain
codomain
This dictionary definitions page includes all the possible meanings, example usage and translations of the word codomain.
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Wiktionary
codomainnoun
The target space into which a function maps elements of its domain. It always contains the range of the function, but can be larger than the range if the function is not surjective.
Wikidata
Codomain
In mathematics, the codomain or target set of a function is the set Y into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y. The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image. The codomain is part of a function f if it is defined as described in 1954 by Bourbaki, namely a triple, with F a functional subset of the Cartesian product X × Y and X is the set of first components of the pairs in F. The set F is called the graph of the function. The set of all elements of the form f(x), where x ranges over the elements of the domain X, is called the image of f. In general, the image of a function is a subset of its codomain. Thus, it may not coincide with its codomain. Namely, a function that is not surjective has elements y in its codomain for which the equation f(x) = y does not have a solution. An alternative definition of function by Bourbaki [Bourbaki, op. cit., p. 77], namely as just a functional graph, does not include a codomain and is also widely used. For example in set theory it is desirable to permit the domain of a function to be a proper class X, in which case there is formally no such thing as a triple. With such a definition functions do not have a codomain, although some authors still use it informally after introducing a function in the form f: X → Y.
Numerology
Chaldean Numerology
The numerical value of codomain in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of codomain in Pythagorean Numerology is: 2
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"codomain." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/codomain>.
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