Last Updated：2025/11/19

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(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.

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bijection

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Source Word

bijection

IPA(Pronunciation)

/baɪ.d͡ʒɛk.ʃən/

Noun

(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.

Japanese Meaning

全単射：集合論において、一対一対応を持ち、かつ全射（対象全体に写像される）と単射（一意的に対応する）両方の性質を備えた関数

What is this buttons?

To prove that the two sets have the same cardinality, we constructed an explicit bijection between them.

Google Translation / DeepL Translation

2つの集合が同じ濃度を持つことを示すために、それらの間に具体的な全単射（全射かつ単射である写像）を構成した。

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Sense（1）

(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.

The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection.

Google Translation / DeepL Translation

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bijections

（ plural ）

Details

bijection

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bijection

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