# What Is Codomain

### Domain Range and Codomain - Math is Fun

The Codomain is actually part of the definition of the function. And The Range is the set of values that actually do come out. Example we can define a function f x 2x with a domain and codomain of integers because we say so .

*Link: https://www.mathsisfun.com/sets/domain-range-codomain.html*

*Actived: Sunday Aug 18, 2019 (6 days ago)*

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^{}### Codomain - Wikipedia

The codomain is part of a function f if it is defined as described in 1954 by Nicolas Bourbaki namely a triple X Y F 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 domain .

*Link: https://en.wikipedia.org/wiki/Codomain*

*Actived: Wednesday Aug 21, 2019 (3 days ago)*

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^{}### Talk Codomain - Wikipedia

I would say both codomain and image are consequences of a function s definition so that as soon as we can prove that the image of f is a subset of the domain h for which it suffices but is not necessary to prove that the codomain of f is a subset of the domain of f we can define the composition .

*Link: https://en.wikipedia.org/wiki/Talk:Codomain*

*Actived: Thursday Aug 1, 2019 (24 days ago)*

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^{}### linear algebra - What is the difference between codomain

The codomain need not be the same as the range. Take any projection operator like $ begin bmatrix 1 0 0 0 end bmatrix $ its codomain is $ mathbb R 2$ but its range is only the subspace spanned by $ 1 0 T$ .

*Link: https://math.stackexchange.com/questions/3317941/what-is-the-difference-between-codomain-and-range*

*Actived: Thursday Aug 8, 2019 (16 days ago)*

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^{}### Codomain - definition of codomain by The Free Dictionary

Define codomain. codomain synonyms codomain pronunciation codomain translation English dictionary definition of codomain. n. Mathematics A set containing all the values of a function. The range is a subset of the codomain. n maths the set of values that a function is allowed to

*Link: https://www.thefreedictionary.com/codomain*

*Actived: Tuesday Aug 20, 2019 (5 days ago)*

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^{}### Codomain definition - Math Insight

The codomain of a function is the set of its possible outputs. In the function machine metaphor the codomain is the set of objects that might possible come out of the machine.

*Link: https://mathinsight.org/definition/codomain*

*Actived: Monday Aug 19, 2019 (6 days ago)*

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