搜索结果: 1-15 共查到“理学 partitions”相关记录55条 . 查询时间(0.078 秒)
Abundances of rare earth elements in crude oils and their partitions in water
rare earth elements crude oil partition coefficient NMR Junggar Basin
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2017/8/9
Patterns of the entire range of REE in crude oils and coexisting water, collected from mud volcanoes in Xinjiang Province of China, are reported here for the first time. Crude oils show light REE enri...
The spt-Crank for Ordinary Partitions
spt-function spt-crank congruence marked partition doubly marked partition
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2014/6/3
The spt-function spt(n) was introduced by Andrews as the weighted counting of partitions of n with respect to the number of occurrences of the smallest part. Andrews, Garvan and Liang defined the spt-...
Ordered Partitions Avoiding a Permutation Pattern of Length 3
pattern avoidance ordered partition descent
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2014/6/3
An ordered partition of [n]={1, 2,..., n} is a partition whose blocks are endowed with a linear order. Let OPn,k be set of ordered partitions of [n] with k blocks and OPn,k(σ) be set of ordered partit...
On the Positive Moments of Ranks of Partitions
rank of a partition k-marked Durfee symbol moment of ranks
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2014/6/3
By introducing k-marked Durfee symbols, Andrews found a combinatorial interpretation of 2k-th symmetrized moment η2k(n) of ranks of partitions of n in terms of (k + 1)-marked Durfee symbols of n. In t...
Linked Partitions and Permutation Tableaux
linked partition descent permutation tableau
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2014/6/3
Linked partitions are introduced by Dykema in the study of transforms in free probability theory, whereas permutation tableaux are introduced by Steingrímsson and Williams in the study of totally posi...
On the number of partitions with designated summands
partition with designated summands Ramanujan type identity Ramanujan's cubic continued fraction cubic theta function
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2014/6/3
Andrews, Lewis and Lovejoy introduced the partition function PD(n) as the number of partitions of n with designated summands, where we assume that among parts with equal size, exactly one is designate...
Noncrossing Linked Partitions and Large (3, 2)-Motzkin Paths
Noncrossing linked partition Schroder path large (3 2)-Motzkin path (3 2)-Motzkin path Schrö der number
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2014/6/3
Noncrossing linked partitions arise in the study of certain transforms in free probability theory. We explore the connection between noncrossing linked partitions and (3, 2)-Motzkin paths, where a (3,...
Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions
creative telescoping combinatorial telescoping partition q-little Jacobi polynomial
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2014/6/3
Recently Andrews proposed a problem of finding a combinatorial proof of an identity on the q-little Jacobi polynomials. We give a classification of certain triples of partitions and find bijections ba...
Partitions and Partial Matchings Avoiding Neighbor Patterns
set partition partial matching neighbor alignment left nesting right nesting.
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2014/6/3
We obtain the generating functions for partial matchings avoiding neighbor alignments and for partial matchings avoiding neighbor alignments and left nestings. We show that there is a bijection betwee...
The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
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2011/9/20
Abstract: For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such partitions...
Actions and identities on set partitions
Actions and identities set partitions Combinatorics
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2011/9/16
Abstract: A labeled set partition is a partition of a set of integers whose arcs are labeled by nonzero elements of an abelian group $A$. Inspired by the action of the linear characters of the unitria...
Crystal rules for $(\ell,0)$-JM partitions
Crystal rules Combinatorics Representation Theory
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2011/9/14
Abstract: Vazirani and the author \cite{BV} gave a new interpretation of what we called $\ell$-partitions, also known as $(\ell,0)$-Carter partitions. The primary interpretation of such a partition $\...
Critical partitions and nodal deficiency of billiard eigenfunctions
Critical partitions nodal deficiency billiard eigenfunctions Mathematical Physics
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2011/9/14
Abstract: The paper addresses the the number of nodal domains for eigenfunctions of Schr\"{o}dinger operators with Dirichlet boundary conditions in bounded domains. In dimension one, the $n$th eigenfu...
From flows of Lambda Fleming-Viot processes to lookdown processes via flows of partitions
Stochastic flow Fleming-Viot process Lookdown process Partition-valued process Coalescence Continuous state branching process Bridge
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2011/9/14
Abstract: We show that the lookdown process can be pathwise embedded into a stochastic flow of bridges (F_{s,t},s\leq t) associated to a \Lambda\ coalescent. Such a flow of bridges couples an infinite...
A note on vertex partitions
vertex partitions Combinatorics general lemma
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2011/8/31
Abstract: We prove a general lemma about partitioning the vertex set of a graph into subgraphs of bounded degree. This lemma extends a sequence of results of Lov\'asz, Catlin, Kostochka and Rabern.