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Bijection vs Injrection - What's the difference?

bijection | injrection |

bijection

English

(wikipedia bijection)

Noun

(en noun)
  • (set theory) A one-to-one correspondence, a function which is both a surjection and an injection.
  • * 2002 , Yves Nievergelt, Foundations of Logic and Mathematics , page 214,
    • 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 .
  • * 2007 , C. J. Date, Logic and Databases: The Roots of Relational Theory , page 167,
    • Note in particular that a function is a bijection if and only if it's both an injection and a surjection.
  • * 2013 , William F. Basener, Topology and Its Applications , unnumbered page,
    • The basic idea is that two sets A and B have the same cardinality' if there is a '''bijection''' from A to B. Since the domain and range of the '''bijection''' is not relevant here, we often refer to a '''bijection''' from A to B as a '''bijection between the sets''', or a ' one-to-one correspondence between the elements of the sets.

    Synonyms

    * (function that is both a surjection and an injection) one-to-one correspondence

    injrection

    Not English

    Injrection has no English definition. It may be misspelled.