Last Updated
：2025/11/19
surjection
IPA(Pronunciation)
Noun
Japanese Meaning
全射：集合論における写像で、定義域の各々の元が写像される先である値域のすべての元に対して、少なくとも1つの元が対応する関数。
（ plural ）
Quizzes for review
(set theory) 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.
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surjection
To prove that f: A → B is a surjection, we must show that for every element b in B there exists an a in A with f(a) = b.
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To prove that f: A → B is a surjection, we must show that for every element b in B there exists an a in A with f(a) = b.
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