Results 61 to 70 of about 113 (106)

Distributions on Partitions

open access: yesThe Annals of Statistics, 1987
A two parameter family of distributions on partitions is obtained by mixing a multinomial with a symmetric Dirichlet distribution. Estimates for the parameters are proposed and studied in various asymptotic limits.
Keener, Robert   +2 more
openaire   +3 more sources

Rectangle Partitions Generalizing Integer Partitions

open access: yesAnnals of Combinatorics
Abstract In this paper, we introduce a natural geometric extension of the partition function. More precisely, we investigate the problem of counting partitions of a rectangle into rectangular blocks with integer sides. Here, two partitions of a rectangle are indistinguishable if they consist of the same multiset of blocks, their ...
Krystian Gajdzica   +2 more
openaire   +2 more sources

The partition conjecture

open access: yesDiscrete Mathematics, 2000
Tverberg's theorem says that every set of \((m-1)(d+1)+1\) points in \(\mathbb{R}^d\) can be divided into \(m\) subsets whose convex hulls have a common point. The case \(m=2\) is known as Radon's theorem. Generalization to arbitrary convexity spaces leads to the partition conjecture. This paper gives a survey on known results and proves the conjecture
openaire   +1 more source

Partitions and permutations

open access: yesDiscrete Mathematics, 2005
The author is interested in the following problem: what information can we get on a permutation group of degree \(n\) knowing the set (or multiset) of partitions into cycles of its elements? Same question if we only know the set (or multiset) of partitions of \(n\), which arise as cycle partitions of its elements.
openaire   +2 more sources

Secondary imperfectivisation is reverbalisation. [PDF]

open access: yesMorphology (Dordr)
Arsenijević B   +2 more
europepmc   +1 more source

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