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bijection

[ bahy-jek-shuhn ]
/ baɪˈdʒɛk ʃən /
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noun Mathematics.
a map or function that is one-to-one and onto.
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Origin of bijection

1965–70; bi-1 + -jection, as in projection
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

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.
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