A bijection, bijective function, or one-to-one correspondence between two mathematical sets is a function such that each element of the second set (the... 19 KB (2,503 words) - 00:11, 27 April 2024 |
In mathematics, injections, surjections, and bijections are classes of functions distinguished by the manner in which arguments (input expressions from... 15 KB (2,208 words) - 01:33, 2 May 2024 |
uncountable. Also, by using a method of construction devised by Cantor, a bijection will be constructed between T and R. Therefore, T and R have the same... 27 KB (2,800 words) - 18:49, 2 April 2024 |
(surjection, not a bijection) An injective surjective function (bijection) An injective non-surjective function (injection, not a bijection) A non-injective... 18 KB (2,182 words) - 11:38, 30 January 2024 |
In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to... 13 KB (1,634 words) - 08:28, 15 April 2024 |
is that no bijection can exist between {1, 2, ..., n} and {1, 2, ..., m} unless n = m; this fact (together with the fact that two bijections can be composed... 14 KB (1,892 words) - 11:19, 29 March 2024 |
(injection, not a bijection) An injective surjective function (bijection) A non-injective surjective function (surjection, not a bijection) A non-injective... 16 KB (2,499 words) - 18:57, 19 February 2024 |
two approaches to cardinality: one which compares sets directly using bijections and injections, and another which uses cardinal numbers. The cardinality... 22 KB (2,778 words) - 03:51, 9 April 2024 |
In mathematics, a geometric transformation is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning. More... 8 KB (759 words) - 12:43, 28 May 2023 |
same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets. In the case of finite sets, this... 26 KB (3,808 words) - 01:08, 27 April 2024 |