Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Alternating_permutation> ?p ?o. }
Showing items 1 to 32 of
32
with 100 items per page.
- Alternating_permutation abstract "In combinatorial mathematics, an alternating permutation of the set {1, 2, 3, ..., n} is an arrangement of those numbers into an order c1, ..., cn such that no element ci is between ci − 1 and ci + 1 for any value of i and c1< c2. In other words, ci < ci+ 1 if i is odd and ci > ci+ 1 if i is even. For example, the five alternating permutations of {1, 2, 3, 4} are: 1, 3, 2, 4 because 1 < 3 > 2 < 4 1, 4, 2, 3 because 1 < 4 > 2 < 3 2, 3, 1, 4 because 2 < 3 > 1 < 4 2, 4, 1, 3 because 2 < 4 > 1 < 3 3, 4, 1, 2 because 3 < 4 > 1 < 2This type of permutation was first studied by Désiré André in the 19th century.If the condition c1 < c2 is dropped, so we only require that no element ci is between ci − 1 and ci + 1, then the permutation is called a zigzag permutation. By exchanging 1 with n, 2 with n − 1, etc., each zigzag permutation with c1> c2 can be paired uniquely with an alternating permutation.".
- Alternating_permutation wikiPageExternalLink 0912.4240v1.pdf.
- Alternating_permutation wikiPageExternalLink altperm.pdf.
- Alternating_permutation wikiPageExternalLink an-explicit-formula-for-the-euler-zigzag-numbers-updown-numbers-from-power-series.
- Alternating_permutation wikiPageID "4813617".
- Alternating_permutation wikiPageRevisionID "571416849".
- Alternating_permutation hasPhotoCollection Alternating_permutation.
- Alternating_permutation title "Alternating Permutation".
- Alternating_permutation urlname "AlternatingPermutation".
- Alternating_permutation subject Category:Enumerative_combinatorics.
- Alternating_permutation subject Category:Permutations.
- Alternating_permutation type Abstraction100002137.
- Alternating_permutation type Change107296428.
- Alternating_permutation type Event100029378.
- Alternating_permutation type Happening107283608.
- Alternating_permutation type Permutations.
- Alternating_permutation type PsychologicalFeature100023100.
- Alternating_permutation type Substitution107443761.
- Alternating_permutation type Variation107337390.
- Alternating_permutation type YagoPermanentlyLocatedEntity.
- Alternating_permutation comment "In combinatorial mathematics, an alternating permutation of the set {1, 2, 3, ..., n} is an arrangement of those numbers into an order c1, ..., cn such that no element ci is between ci − 1 and ci + 1 for any value of i and c1< c2. In other words, ci < ci+ 1 if i is odd and ci > ci+ 1 if i is even.".
- Alternating_permutation label "Alternating permutation".
- Alternating_permutation label "Alternierende Permutation".
- Alternating_permutation label "Permutazione alternata".
- Alternating_permutation sameAs Alternierende_Permutation.
- Alternating_permutation sameAs Permutazione_alternata.
- Alternating_permutation sameAs m.0cpc8y.
- Alternating_permutation sameAs Q3900011.
- Alternating_permutation sameAs Q3900011.
- Alternating_permutation sameAs Alternating_permutation.
- Alternating_permutation wasDerivedFrom Alternating_permutation?oldid=571416849.
- Alternating_permutation isPrimaryTopicOf Alternating_permutation.