Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A set containing all the values of a function. The range is a subset of the codomain.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics The target space into which a
function maps elements of itsdomain . It always contains therange of the function, but can be larger than the range if the function is notsurjective .
Etymologies
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Examples
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For example, if a unary function is considered as a set of ordered pairs, then the domain and codomain are given by the first and second projections, respectively.
Combinatory Logic Bimbó, Katalin 2008
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Combinatory terms are thought of as functions, and functions are thought to have a domain (a set of possible inputs) and a codomain (a set of possible outputs).
Combinatory Logic Bimbó, Katalin 2008
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Functions that have the same domain and codomain may be quite different, however, by abstraction, they are of the same sort or type.
Combinatory Logic Bimbó, Katalin 2008
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Category theory, where functions are components of categories (without a set theoretic reduction assumed), retains the notions of a domain and a codomain; moreover, every function has a unique domain and codomain.
Combinatory Logic Bimbó, Katalin 2008
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The probability that all n values are in the lower q fraction of the codomain is p = qn
How do evolutionary processes create information? - The Panda's Thumb 2007
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The probability that all n values are in the lower q fraction of the codomain is p = qn.
How do evolutionary processes create information? - The Panda's Thumb 2007
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It bears mention that one of them has only the worst codomain value in its range, and another has only the best codomain value in its range.
How do evolutionary processes create information? - The Panda's Thumb 2007
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It is astonishing that in 99.99% of trials a value better than 99.999% of those in the codomain is obtained with fewer than one million evaluations.
How do evolutionary processes create information? - The Panda's Thumb 2007
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It bears mention that one of them has only the worst codomain value in its range, and another has only the best codomain value in its range.
Intelligent Design explained: Part 2 random search - The Panda's Thumb 2006
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The probability that all n values are in the lower q fraction of the codomain is p = qn.
Intelligent Design explained: Part 2 random search - The Panda's Thumb 2006
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