Dictionary.com

bijection

[ bahy-jek-shuhn ]
/ baɪˈdʒɛk ʃən /
Save This Word!

noun Mathematics.

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

QUIZZES

QUIZ YOURSELF ON "WAS" VS. "WERE"!

Were you ready for a quiz on this topic? Well, here it is! See how well you can differentiate between the uses of "was" vs. "were" in this quiz.
Question 1 of 7
“Was” is used for the indicative past tense of “to be,” and “were” is only used for the subjunctive past tense.

Meet Grammar Coach

Write or paste your essay, email, or story into Grammar Coach and get grammar helpImprove Your Writing

Meet Grammar Coach

Improve Your Writing
Write or paste your essay, email, or story into Grammar Coach and get grammar help

Origin of bijection

1965–70; bi-1 + -jection, as in projection
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

British Dictionary definitions for bijection

bijection
/ (baɪˈdʒɛkʃən) /

noun

a mathematical function or mapping that is both an injection and a surjection and therefore has an inverseSee also injection (def. 5), surjection
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for bijection

bijection
[ bī-jĕkshən ]

Mathematics

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. Compare injection surjection.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
FEEDBACK