« Bloc incomplet partiellement équilibré » : différence entre les versions
m (Remplacement de texte : « ↵↵<small> » par « ==Sources== ») |
m (Remplacement de texte : « ↵↵↵ » par « ») |
||
| Ligne 1 : | Ligne 1 : | ||
== Définition == | == Définition == | ||
== Français == | == Français == | ||
| Ligne 7 : | Ligne 6 : | ||
== Anglais == | == Anglais == | ||
''' partially balanced incomplete block design''' | ''' partially balanced incomplete block design''' | ||
A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together in precisely λi blocks. | A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together in precisely λi blocks. | ||
==Sources== | ==Sources== | ||
[http://isi.cbs.nl/glossary/term2425.htm Source : ISI ] | [http://isi.cbs.nl/glossary/term2425.htm Source : ISI ] | ||
Version du 29 janvier 2024 à 10:33
Définition
Français
bloc incomplet partiellement équilibré
Anglais
partially balanced incomplete block design
A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together in precisely λi blocks.
Sources
Contributeurs: Evan Brach, wiki
