bijection

American  

[bahy-jek-shuhn] / baɪˈdʒɛk ʃən /

noun

Mathematics.

1. a map or function that is one-to-one and onto.

---

bijection British  

/ baɪˈdʒɛkʃən /

noun

1. a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse See also injection surjection

---

bijection Scientific  

/ bī-jĕk′shən /

1. A function that is both an injection and a surjection. In a bijection, each member of the range corresponds to an element of the domain that is mapped onto it, and there is a one-to-one correspondence between the members of the domain and the range. All linear functions, such as y = x + 3, are bijections.

2. Compare injection surjection

---

Etymology

Origin of bijection

1965–70; bi- ¹ + -jection, as in projection

Example Sentences

See Examples For:

bijection

That is, there are infinite sets A and B with no bijection between them.

From Scientific American ● Aug. 16, 2021