bijective

a bijective function establishes a one-to-one correspondence between the elements of two sets.

to prove the function is invertible, you must demonstrate that it is bijective.

the professor asked the students to verify if the given mapping was bijective.

any bijective operation guarantees that every input has a unique output.

cryptographic algorithms often rely on bijective transformations to ensure data security.

in set theory, a bijective map indicates that two sets have the same cardinality.

a bijection exists if the relationship between the domain and codomain is bijective.

the symmetry group of the square is bijective to a specific permutation group.

since the function is both injective and surjective, we conclude it is bijective.

the software uses a bijective mapping to compress files without losing information.

understanding bijective relationships is crucial for solving combinatorial mathematics problems.