File:Bijection.svg · Wikimedia Commons · See Wikimedia Commons
función biyectiva
Sign in to saveAlso known as bijective function, one-to-one correspondence, invertible function, bijective
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the codomain) is the image of exactly one element of the first set (the domain). Equivalently, a bijection is a relation between two sets such that each element of either set is paired with exactly one element of the other set.
A bijection is a mathematical pairing between two groups of objects where each item in one group matches with exactly one item in the other group, with no leftovers or duplicates on either side. This concept matters because it provides a precise way to establish when two collections have the same size, even when dealing with infinite sets, and serves as a foundation for understanding deeper mathematical relationships between different structures.
AI-generated from the Wikipedia summary — may contain errors.
Wikidata facts
- Subclass of
- injection
- Image
- Bijection.svg
Show 5 more facts
- Commons category
- Bijectivity
- different from
- injection
- has effect
- equinumerosity
- maintained by WikiProject
- WikiProject Mathematics
- facet of
- duality
Sources (3)
via Wikidata · CC0
Article · Español
En matemáticas, una función es biyectiva si es al mismo tiempo inyectiva y sobreyectiva; es decir, si todos los elementos del conjunto de salida tienen una imagen distinta en el conjunto de llegada, y a cada elemento del conjunto de llegada le corresponde un elemento del conjunto de salida. Formalmente, dada una función : La función es biyectiva si se cumple la siguiente condición: Es decir, para todo de se cumple que existe un único de , tal que la función evaluada en es igual a . Dados dos conjuntos finitos e , entonces existirá una biyección entre ambos si y solo si e tienen el mismo número de elementos.
Abstract from DBpedia / Wikipedia · CC BY-SA