onto
9.0
A function where every result comes from some input
- adjective
- /ˈɒntu/
- Specialized
:
sobreyectivo
- In our class, we learned that a function is onto if it maps to every element in the target set.
Examples
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So FA to B is onto or surjective.
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We showed that PSI was onto, so we did that right here.
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5 Aquinas on the onto-logical proof.
Academic text (1995) -
The function was proved to be onto because every output value corresponds to an input value.
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Mathematicians often discuss whether a transformation is onto when analyzing its properties.
Synonyms
9.9
A function where every output value comes from at least one input
is a common alternative phrasing for the same function property
Compounds
Surface Forms
onto positive
Etymology
Onto in math comes from the idea of putting something on ('on') to ('toward') every result; think of mapping at least one input 'onto' each output. That's why a function is called onto when every possible output comes from some input.
