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格路
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  lattice path
     On the Lattice Path Methods in Convolution-Type Combinatorial Identities
     卷积型组合恒等式中的格路方法
短句来源
     On the Lattice Path Method in Convolution Type Combinatorial ldentities(Ⅱ)——The Weighted Counting Function Method on Lattice Paths
     关于卷积型组合恒等式的格路方法(Ⅱ)——赋权格路的枚举函数方法
短句来源
     Lattice path and Vandermonde's convolution identities
     格路与Vandermonde卷积恒等式
短句来源
     LATTICE PATH METHOD FOR CLASSICAL PARTITION IDENTITIES
     格路计数与经典分拆恒等式
短句来源
  lattice paths
     Stocks discussed lattice paths from (0,0,0) to (n, n, n) with diagonal steps under some restrictions.
     Stocks讨论了从(0,0,0)到(n,n,n)的带对角步格路的计数问题.
短句来源
     Generalization of counting problems of several lattice paths
     几个格路计数问题的推广
短句来源
     Denote by N(m, n;λ,μ) the number of lattice paths from the lower left corner
     以N(m,n;λ,u)表示在m×n的矩形格的左上角和右下角分别删掉分拆λ和μ的Ferrers图后从左下角到右上角格路的数目。 Simion猜想对任意分拆λ,N(-k,k;λ,φ)关于k是对数凹的。
短句来源
     On the Lattice Path Method in Convolution Type Combinatorial ldentities(Ⅱ)——The Weighted Counting Function Method on Lattice Paths
     关于卷积型组合恒等式的格路方法(Ⅱ)——赋权格路的枚举函数方法
短句来源
     In the second chapter, we give some combinatorial proof of log-convexity and log-concavity of some combinatorial numbers by lattice paths, Dyck paths and the Reflection Principle. In Section 2.1, we provide the combinatorial proofs of some combinatorial numbers, such as the large Schroder numbers, the central Delannoy numbers and the Fine numbers. In Section 2.2, we prove the log-concavity of the Delannoy numbers and present the generalization of the conjecture of Simion.
     2.第二章主要讨论利用格路,Dyck路和反射原理证明序列的对数凸性和对数凹性一般性方法,其中第一节主要介绍大Schroder数,中心Delannoy数,Fine数等的对数凸性,第二节介绍普通Delannoy数的对数凹性及Simion猜想的推广。
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  “格路”译为未确定词的双语例句
     Lattice and combinatorial identities
     格路与组合恒等式
短句来源
     The Representation of Predicate Grue and Its Scientific Instances
     格路谓词的表示与科学实例
短句来源
     Based on the symmetry of theorder relation,some Vandermonde-type identities are established.
     利用序关系的对称性以及生成函数技巧,建立了对称型和Vandermonde型组合恒等式,推广了有关格路计数的结果。
短句来源
     This paper deals with the background of the celebrated Goodman's new riddle of induction and the logic and semantics of predicate grue. A Venn's diagram of predicate grue is presented.
     本文回顾了古德曼的新归纳之谜的背景 ,分析了格路谓词的逻辑与语义特征。
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  lattice path
A novel exact solution of the multichannel spin-S Kondo model is presented, based on a lattice path integral approach of the single channel spin-1/2 case.
      
On the lattice path method in convolution-type combinatorial identities (II)-The weighted counting function method on lattice pa
      
By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons.
      
Critical resonance in the non-intersecting lattice path model
      
We study the phase transition in the honeycomb dimer model (equivalently, monotone non-intersecting lattice path model).
      
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  lattice paths
Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths.
      
Recently, Mikhalkin has found a way to reinterpret the numbers N(d, g) in terms of tropical geometry and to compute them by counting certain lattice paths in integral polytopes.
      
We relate these two results by defining an analogue of the relative Gromov-Witten invariants and rederiving the Caporaso-Harris formula in terms of both tropical geometry and lattice paths.
      
Inhomogeneous Lattice Paths, Generalized Kostka Polynomials and An-1 Supernomials
      
Inhomogeneous lattice paths are introduced as ordered sequences of rectangular Young tableaux thereby generalizing recent work on the Kostka polynomials by Nakayashiki and Yamada and by Lascoux, Leclerc and Thibon.
      
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An independent method for paper [10] is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multno-mial coefficient in the case of unrestricted paths. Convolutions for path counts are investigated, which yields some Vandermonde-type identities for multinomial and q-multinomial coefficients.

作为无限制条件下格路计数函数——Gauss多项式系数的自然拓广,作者研究了赋权格路的枚举问题.对应的卷积计算则产生普通多项式系数和Gauss的q-多项式系数的Vandermonde组合恒等式.

This paper is concerned with combinatorial identities which can be derived by using Mbiusinversion and lattice function in the poset R_(n×m). Some new combinatorial identities areestablished.

给出格路集R_(n×m)的定义和其上的一种偏序关系;利用格路函数的性质计算出该偏序集的Mbius函数,从而建立其上的Mbius反演和一系列多元组合恒等式,使一些卷积公式成为其特例.

The paper is concerned with the partially ordered set consisting of lattice-points onthe plane N ̄2.The formula of incidence function is presented.Based on the symmetry of theorder relation,some Vandermonde-type identities are established.

研究在给定长度下由格点构成的链的数目,并给出了关联函数的任意次幂的计算公式。利用序关系的对称性以及生成函数技巧,建立了对称型和Vandermonde型组合恒等式,推广了有关格路计数的结果。

 
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