bijective function
31Order theory — For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… …
32Cantor–Bernstein–Schroeder theorem — In set theory, the Cantor–Bernstein–Schroeder theorem, named after Georg Cantor, Felix Bernstein, and Ernst Schröder, states that, if there exist injective functions f : A → B and g : B → A between the sets A and B , then there exists a bijective …
33Dedekind-infinite set — In mathematics, a set A is Dedekind infinite if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind finite if it is not Dedekind… …
34Cardinal number — This article describes cardinal numbers in mathematics. For cardinals in linguistics, see Names of numbers in English. In mathematics, cardinal numbers, or cardinals for short, are generalized numbers used to measure the cardinality (size) of… …
35Transposition cipher — In cryptography, a transposition cipher is a method of encryption by which the positions held by units of plaintext (which are commonly characters or groups of characters) are shifted according to a regular system, so that the ciphertext… …
36Transposition (mathematics) — In informal language, a transposition is a function that swaps two elements of a set. More formally, given a finite set X={a 1,a 2,ldots,a n}, a transposition is a permutation (bijective function of X onto itself) f, such that there exist indices …
37One-to-one — or one to one may refer to: One to one function or injective function One to one correspondence or bijective function One to one (communication), the act of an individual communicating with another One to one computing, an initiative for a… …
38One-to-one (disambiguation) — One to one or one to one is an adjective which can qualify: *in mathematics, an injective function (one to one) or a bijective function (one to one correspondence) *in telecommunications, one to one (communication) *in computer science, one to… …
39Hilbert's paradox of the Grand Hotel — is a mathematical paradox about infinite sets presented by German mathematician David Hilbert (1862–1943). The Paradox of the Grand Hotel Consider a hypothetical hotel with infinitely many rooms, all of which are occupied that is to say every… …
40Banach–Tarski paradox — The Banach–Tarski paradox is a theorem in set theoretic geometry which states that a solid ball in 3 dimensional space can be split into several non overlapping pieces, which can then be put back together in a different way to yield two identical …
