Wondering how to use Surjection in a sentence? Below are 4 example sentences from authentic English texts. Including the meaning .
Surjection meaning
A function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y.
Using Surjection
- The main meaning on this page is: A function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y.
- In the example corpus, surjection often appears in combinations such as: surjection from.
Context around Surjection
- Average sentence length in these examples: 21 words
- Position in the sentence: 2 start, 1 middle, 1 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Surjection
- In this selection, "surjection" usually appears near the start of the sentence. The average example has 21 words, and this corpus slice is mostly made up of statements.
- Recognizable usage signals include both a surjection and an and is a surjection from a. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "surjection" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with surjection
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Every function with a right inverse is necessarily a surjection. (10 words)
More precisely, every surjection f : A → B can be factored as a projection followed by a bijection as follows. (19 words)
If there is a surjection from A to B that is not injective, then no surjection from A to B is injective. (22 words)
With this terminology, a bijection is a function which is both a surjection and an injection, or using other words, a bijection is a function which is both "one-to-one" and "onto". (33 words)
If there is a surjection from A to B that is not injective, then no surjection from A to B is injective. (22 words)
More precisely, every surjection f : A → B can be factored as a projection followed by a bijection as follows. (19 words)
Example sentences (4)
If there is a surjection from A to B that is not injective, then no surjection from A to B is injective.
Every function with a right inverse is necessarily a surjection.
More precisely, every surjection f : A → B can be factored as a projection followed by a bijection as follows.
With this terminology, a bijection is a function which is both a surjection and an injection, or using other words, a bijection is a function which is both "one-to-one" and "onto".
Common combinations with surjection
These word pairs occur most frequently in English texts: