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n. Mathematics
A function that is both one-to-one and onto.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.


(Mathematics) a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse. See also injection5, surjection
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
References in periodicals archive ?
(2) Let [u.sub.n] : [P.sub.n] [right arrow] [Z.sub.N(n)] be a bijective function such that [u.sub.n]([R.sub.1]) [less than or equal to] [u.sub.n]([R.sub.2]) if [o.sub.n]([R.sub.1]) [[less than or equal to].sub.n] [o.sub.n]), where [R.sub.1], [R.sub.2] [member of] [P.sub.n]
With this observation, we may as well say that x [member of] [[u].sub.W] if and only if there are multisimilar constant [c.sub.W](x, u) and a bijective function f on W defined as
Let [phi] : X [right arrow] Y be a bijective function, (K, [K.sup.*]) be an (L, M)-dffb on X, and (B, [B.sup.*]) be an (L, M)-dffb on Y.
In a crisp graph, a bijective function (Eq.) that produced a unique positive integer (to each vertex and/or edge) is called a labeling [4].
A bijective function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is an edge-magic labeling of G if there exists an integer k such that the sum f(x) + f(xy) + f(y) = k for all xy [member of] E.
We need to select or construct a strictly increasing bijective function that maps the uniform nodes {[x.sub.i]} to nonuniform meshes with nodes {[w.sub.i]} tailored suitably in order to reduce the error.
It is assumed that for each wealth allocation rule ([W.sub.B], [W.sub.A]) [member of] S there is one and only one agenda [sigma] [member of] P such that ([W.sub.B], [W.sub.A]) = [psi]([sigma]), i.e., [psi] is a bijective function. Hence, if two different sets of public policies are implemented, the allocation rules induced will be different.
Snell's Law as a Bijective Function. Snell law (see (3)) can be used to determine the relation between the angle of incidence and refraction; however there is a one-to-one correspondence between these angles once the mediums are fixed.
The evidence-corresponding-relation is a bijective function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Its inverse function is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] here, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] means the evidences of [B.sub.2] which [B.sub.1] expects.
The bijective function [??] gives a unique solution for an arbitrary spherical circle of radius r [member of] [0, [pi]/2].
JH compression function is constructed from bijective function (a block cipher with constant key) [7].