منابع مشابه
Lattice Paths and the Constant Term
We firstly review the constant term method (CTM), illustrating its combinatorial connections and show how it can be used to solve a certain class of lattice path problems. We show the connection between the CTM, the transfer matrix method (eigenvectors and eigenvalues), partial difference equations, the Bethe Ansatz and orthogonal polynomials. Secondly, we solve a lattice path problem first pos...
متن کاملthe effects of keyword and context methods on pronunciation and receptive/ productive vocabulary of low-intermediate iranian efl learners: short-term and long-term memory in focus
از گذشته تا کنون، تحقیقات بسیاری صورت گرفته است که همگی به گونه ای بر مثمر ثمر بودن استفاده از استراتژی های یادگیری لغت در یک زبان بیگانه اذعان داشته اند. این تحقیق به بررسی تاثیر دو روش مختلف آموزش واژگان انگلیسی (کلیدی و بافتی) بر تلفظ و دانش لغوی فراگیران ایرانی زیر متوسط زبان انگلیسی و بر ماندگاری آن در حافظه می پردازد. به این منظور، تعداد شصت نفر از زبان آموزان ایرانی هشت تا چهارده ساله با...
15 صفحه اولStaircase Tilings and Lattice Paths
We define a combinatorial structure, a tiling of the staircase in the R plane, that will allow us, when restricted in different ways, to create direct bijections to Dyck paths of length 2n, Motzkin paths of lengths n and n−1, as well as Schröder paths and little Schröder paths of length n.
متن کاملLattice Paths and Rogers Identities
Recently we interpreted five q-series identities of Rogers combinatorially by using partitions with “n + t copies of n” of Agarwal and Andrews [1]. In this paper we use lattice paths of Agarwal and Bressoud [2] to provide new combinatorial interpretations of the same identities. This results in five new 3-way combinatorial identities.
متن کاملJagged partitions and lattice paths
A lattice-path description of K-restricted jagged partitions is presented. The corresponding lattice paths can have peaks only at even x coordinate and the maximal value of the height cannot be larger than K − 1. Its weight is twice that of the corresponding jagged partitions. The equivalence is demonstrated at the level of generating functions. A bijection is given between K-restricted jagged ...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2006
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/42/1/006