[ ser-jek-shuhn ]
/ sərˈdʒɛk ʃən /
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noun Mathematics.



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“Was” is used for the indicative past tense of “to be,” and “were” is only used for the subjunctive past tense.

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Origin of surjection

1960–65; sur-1 + -jection, as in injection, projection, etc.
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

British Dictionary definitions for surjection

/ (sɜːˈdʒɛkʃən) /


a mathematical function or mapping for which every element of the image space is a value for some members of the domainSee also injection (def. 5), bijection

Derived forms of surjection

surjective, adjective

Word Origin for surjection

C20: from sur- 1 + -jection, on the model of projection
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 surjection

[ sər-jĕkshən ]

A function such that each member of its range is mapped onto by a member of the domain. Compare bijection injection.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.