Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Permutation> ?p ?o. }
Showing items 1 to 44 of
44
with 100 items per page.
- Permutation abstract "In mathematics, the notion of permutation relates to the act of permuting, or rearranging, members of a set into a particular sequence or order (unlike combinations, which are selections that disregard order). For example, there are six permutations of the set {1,2,3}, namely (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). As another example, an anagram of a word, all of whose letters are different, is a permutation of its letters. The study of permutations of finite sets is a topic in the field of combinatorics.The number of permutations of n distinct objects is "n factorial" usually written as "n!", which means the product of all positive integers less than or equal to n. Permutations occur, in more or less prominent ways, in almost every area of mathematics. They often arise when different orderings on certain finite sets are considered, possibly only because one wants to ignore such orderings and needs to know how many configurations are thus identified. For similar reasons permutations arise in the study of sorting algorithms in computer science.In algebra and particularly in group theory, a permutation of a set S is defined as a bijection from S to itself (i.e., a map S → S for which every element of S occurs exactly once as image value). This is related to the rearrangement of S in which each element s takes the place of the corresponding f(s). The collection of such permutations form a symmetric group. The key to its structure is the fact that the composition of two permutations (performing two given rearrangements in succession) defines a third rearrangement. Permutations may act on structured objects by rearranging their components, or by certain replacements (substitutions) of symbols.In elementary combinatorics, the k-permutations, or partial permutations, are the sequences of k distinct elements selected from a set. When k is equal to the size of the set, these are the permutations of the set.".
- Permutation thumbnail Permutations_RGB.svg?width=300.
- Permutation wikiPageExternalLink 1000px-Symmetric_group_4%3B_permutation_list_with_matrices.svg.png.
- Permutation wikiPageID "44027".
- Permutation wikiPageRevisionID "606602766".
- Permutation hasPhotoCollection Permutation.
- Permutation id "p/p072270".
- Permutation title "Permutation".
- Permutation subject Category:Abstract_algebra.
- Permutation subject Category:Combinatorics.
- Permutation subject Category:Factorial_and_binomial_topics.
- Permutation subject Category:Permutations.
- Permutation comment "In mathematics, the notion of permutation relates to the act of permuting, or rearranging, members of a set into a particular sequence or order (unlike combinations, which are selections that disregard order). For example, there are six permutations of the set {1,2,3}, namely (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). As another example, an anagram of a word, all of whose letters are different, is a permutation of its letters.".
- Permutation label "Permutación".
- Permutation label "Permutacja".
- Permutation label "Permutatie".
- Permutation label "Permutation".
- Permutation label "Permutation".
- Permutation label "Permutation".
- Permutation label "Permutazione".
- Permutation label "Permutação".
- Permutation label "Перестановка".
- Permutation label "تبديل (رياضيات)".
- Permutation label "置換 (数学)".
- Permutation label "置換".
- Permutation sameAs Permutace.
- Permutation sameAs Permutation.
- Permutation sameAs Μετάθεση_(μαθηματικά).
- Permutation sameAs Permutación.
- Permutation sameAs Permutazio.
- Permutation sameAs Permutation.
- Permutation sameAs Permutasi.
- Permutation sameAs Permutazione.
- Permutation sameAs 置換_(数学).
- Permutation sameAs 순열.
- Permutation sameAs Permutatie.
- Permutation sameAs Permutacja.
- Permutation sameAs Permutação.
- Permutation sameAs m.0c0bw.
- Permutation sameAs Q161519.
- Permutation sameAs Q161519.
- Permutation wasDerivedFrom Permutation?oldid=606602766.
- Permutation depiction Permutations_RGB.svg.
- Permutation isPrimaryTopicOf Permutation.
