(redirected from Bijective)
Also found in: Dictionary, Wikipedia.
Related to Bijective: Injective function


A mapping ƒ from a set A onto a set B which is both an injection and a surjection; that is, for every element b of B there is a unique element a of A for which ƒ (a) = b. Also known as bijective mapping.


A function is bijective or a bijection or a one-to-one correspondence if it is both injective (no two values map to the same value) and surjective (for every element of the codomain there is some element of the domain which maps to it). I.e. there is exactly one element of the domain which maps to each element of the codomain.

For a general bijection f from the set A to the set B:

f'(f(a)) = a where a is in A and f(f'(b)) = b where b is in B.

A and B could be disjoint sets.

See also injection, surjection, isomorphism, permutation.
References in periodicals archive ?
A mapping f : X [right arrow] Y is said to be neutrosophic homeomorphism if f is bijective,neutrosophic continuous and neutrosophic open.
With interpolation method, there are bijective mapping between nodes on the receiver end and units on the sender end, which means that all transferred loads on the nodes can be observed along the transfer path.
5 we obtain that the family of bijective linear functions [R.
We shall give a bijective proof for a slightly stronger version of Theorem 6.
Consider the map (identity map) f: X [right arrow] X defined as follows: f(x) = x for all x [member of] X, since identity map is always bijective and satisfies the conditions:
In this section, we look at bijective linear operators which preserve ([epsilon], I)-rank of matrices over antinegative commutative semiring.
Note: When an S-box is bijective, an S-box with a non-zero output difference is also a differentially active S-box.
ACS is a bijective search algorithm, that means each random solution evolves towards a random solution of the related problem.
1] are bijective v-continuous [v-irresolute; vg-continuous; vg-irresolute].
Menu M' is a proxy improvement over M if there exists a bijective map h on [R.