different between codomain vs differentiable
codomain
English
Etymology
co- +? domain
Pronunciation
- (US) IPA(key): /?ko?.do??me?n/
Noun
codomain (plural codomains)
- (mathematics, mathematical analysis) The target set into which a function is formally defined to map elements of its domain; the set denoted Y in the notation f : X ? Y.
- 1994, Richard A. Holmgren, A First Course in Discrete Dynamical Systems, Springer, page 11,
- Definition 2.5. A function is onto if each element of the codomain has at least one element of the domain assigned to it. In other words, a function is onto if the range equals the codomain.
- 2006, Robert L. Causey, Logic, Sets, and Recursion, 2nd Edition, Jones & Bartlett Learning, page 192,
- Once we have described as a function from to , by convention we will call the codomain, even though other sets, of which is a subset, could have been used. […] If is an element of the codomain, then iff there is some in the domain such that maps to .
- 2017, Alan Garfinkel, Jane Shevtsov, Yina Guo, Modeling Life: The Mathematics of Biological Systems, Springer, page 12,
- For example, the codomain of consists of all real numbers. A function links each element in its domain to some element in its codomain. Each domain element is linked to exactly one codomain element.
- 1994, Richard A. Holmgren, A First Course in Discrete Dynamical Systems, Springer, page 11,
Usage notes
The codomain always contains the image of the function (the actual set of points to which points of the domain are mapped), and can be larger if the function is not surjective.
The term range is often synonymous with codomain, but can also be used as a synonym for image.
Synonyms
- (target set of a function): range
Antonyms
- (target set of a function): domain
Translations
Further reading
- Domain of a function on Wikipedia.Wikipedia
- Image (mathematics) on Wikipedia.Wikipedia
- Range (mathematics) on Wikipedia.Wikipedia
- Injective function on Wikipedia.Wikipedia
- Surjective function on Wikipedia.Wikipedia
- Bijection on Wikipedia.Wikipedia
- Codomain on Wolfram MathWorld
Anagrams
- monoacid
codomain From the web:
- what is codomain of a function
- for what domain is f(x) an onto function
- what is codomain in statistics
- what is codomain means
- what is codomain of modulus function
- what is the codomain of a matrix
- what is a co domain used for
- what does the codomain do
differentiable
English
Etymology
From differentiate +? -able
Pronunciation
- (UK) IPA(key): /?d?f.?(?)??n.??.b?l/
Adjective
differentiable (comparative more differentiable, superlative most differentiable)
- (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
- (comparable, of multiple items) able to be differentiated, e.g. because they appear different
Related terms
- differentiability
Translations
Danish
Adjective
differentiable
- plural and definite singular attributive of differentiabel
differentiable From the web:
- what differentiable means
- differentiable what does mean
- what does differentiable mean in calculus
- what is differentiable function
- what is differentiable programming
- what is differentiable rendering
- what is differentiable physics
- what is differentiable in calc
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