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The Partition Algebra Revisited

✍ Scribed by William F. Doran IV; David B. Wales


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
450 KB
Volume
231
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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The restricted binary partition function b k (n) enumerates the number of ways to represent n as We study the question of how large a power of 2 divides the difference b k (2 r+2 n) -b k -2 (2 r n) for fixed k \ 3, r \ 1, and all n \ 1.

The Structure of the Partition Algebras
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Γ„ 4 1 1 2 2 3 3 4 4 5 5 Ε½ ÄÄ 4 as clusters, and of composition of partitions ab s Q. ␣ , ␣ , ␣ , ␣ , 1 2 3 4 Γ„ 4 Γ„ 4 Γ„ 4 4 . Ε½ ␣ , ␀ , ␀ , ␀ , ␀ , ␀ by an appropriate juxtaposition cf. p. 868 5 1 2 3 4 5 w x. of 2 . We define the elements of S , Ä␣ , ␀ 4 n Γ„ 4 Γ„ 4 Γ„ 4 Γ„ 4

The strong partition relation on Ο‰1 revi
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## Abstract We give a new proof of the strong partition relation on __Ο‰__~1~, assuming the axiom of determinacy, which uses only a general argument not involving the complete analysis of a measure on __Ο‰__~1~. (Β© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)