Meanings
- not comparablemathematicsAssociating to each element of the codomain exactly one element of the domain; establishing a perfect (one-to-one) correspondence between the elements of the domain and the codomain; (formally) both injective and surjective.
An isomorphism is a bijective homomorphism.
2010, Kang Feng, Mengzhao Qin, Symplectic Geometric Algorithms for Hamiltonian Systems, Springer, page 394 more examples
1987, James S. Royer, A Connotational Theory of Program Structure, Springer, LNCS 273, page 15, Then, by a straightforward, computable, bijective numerical coding, this idealized FORTRAN determines an EN. (Note: In this FORTRAN example, we could have omitted restrictions on I/O and instead used a computable, bijective, numerical coding for inputs and outputs to get another EN determined by FORTRAN.)
1993, Susan Montgomery, Hopf Algebras and Their Actions on Rings, American Mathematical Society, CBMS, Regional Conference Series in Mathematics, Number 83, page 124, Recent experience indicates that for infinite-dimensional Hopf algebras, the “right” definition of Galois is to require that β be bijective.
2008, B. Aslan, M. T. Sakalli, E. Bulus, Classifying 8-Bit to 8-Bit S-Boxes Based on Power Mappings, Joachim von zur Gathen, José Luis Imana, Çetin Kaya Koç (editors), Arithmetic of Finite Fields: 2nd International Workshop, Springer, LNCS 5130, page 131, Generally, there is a parallel relation between the maximum differential value and maximum LAT value for bijective S-boxes.
2012 [Introduction to Graph Theory, McGraw-Hill], Gary Chartrand, Ping Zhang, A First Course in Graph Theory, 2013, Dover, Revised and corrected republication, page 64, The proof that isomorphism is an equivalence relation relies on three fundamental properties of bijective functions (functions that are one-to-one and onto): (1) every identity function is bijective, (2) the inverse of every bijective function is also bijective, (3) the composition of two bijective functions is bijective.
- not comparablemathematicsHaving a component that is (specified to be) a bijective map; that specifies a bijective map.
Proving the conjecture is equivalent to constructing a PCP that reads 2 symbols and accepts iff these symbols satisfy a bijective constraint.
2002, Proceedings of the 34th Annual ACM Symposium on the Theory of Computing, ACM Press, page 774
Translations
Catalan bijectiu
- bijectiuboth injective and surjective
Chinese Mandarin 一一映射的, 双射的
- 一一映射的 (yīyīyìngshède)both injective and surjective
- 双射的 (shuāngshède)both injective and surjective
Czech bijektivní
- bijektivníboth injective and surjective
Danish bijektiv
- bijektivboth injective and surjective
Dutch bijectief
- bijectiefboth injective and surjective
Finnish bijektiivinen, bijektiivinen
- bijektiivinenboth injective and surjective
- bijektiivinenhaving a bijective map
French bijectif
- bijectifboth injective and surjective
German bijektiv, eineindeutig
- bijektivboth injective and surjective
- eineindeutigboth injective and surjective
Greek αμφιμονοσήμαντος
- αμφιμονοσήμαντος (amfimonosímantos)both injective and surjective
Hungarian bijektív, kölcsönösen egyértelmű
- bijektívboth injective and surjective
- kölcsönösen egyértelműboth injective and surjective
Irish détheilgeach
- détheilgeachboth injective and surjective
Italian biiettivo, bigettivo
- biiettivoboth injective and surjective
- bigettivoboth injective and surjective
Japanese 全単射の
- 全単射の (zentanshano)both injective and surjective
Portuguese bijetivo
- bijetivoboth injective and surjective
Romanian bijectiv
- bijectivboth injective and surjective
Spanish biyectivo
- biyectivoboth injective and surjective
Swedish bijektiv
- bijektivboth injective and surjective
Rhymes & wordplay
Rhymes with bijective
Cite this entry
bijective. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/bijective
“bijective.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/bijective. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “bijective,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/bijective.
Source: bijective on Wiktionary, CC BY-SA 4.0.