有杂色
发表于 2025-3-25 03:39:40
Smart and Sustainable Cities and BuildingsDyck words enumerated by the Catalan numbers. By using Ferrers diagrams associated to Dyck paths, we derive formulas for the enumeration of . with . and . non relatively prime, in terms of Catalan numbers.
高兴一回
发表于 2025-3-25 11:35:07
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NEXUS
发表于 2025-3-25 13:54:27
Density and Quality of Life in Mashhad, Iran of this partial order of degrees was carried out in [.], but many basic questions remain unanswered.One of the central questions concerns the existence of atom degrees, other than the degree of the ‘identity sequence’ .. A degree is called an ‘atom’ if below it there is only the bottom degree ., wh
Nonthreatening
发表于 2025-3-25 15:57:07
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Introvert
发表于 2025-3-25 21:40:30
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EVEN
发表于 2025-3-26 03:38:50
Go Muan Sang,Lai Xu,Paul de Vrieze with it, it is also conjectured that binary words have the largest square density. That is, it is sufficient to solve the square conjecture for words over binary alphabet. We solve this subsidiary conjecture affirmatively, or more strongly, we prove the irrelevance of the alphabet size in solving t
Daily-Value
发表于 2025-3-26 06:36:27
Thomas Süße,Maria Kobert,Caroline Kries-automatic”. This class includes, for example, the famous Tribonacci word ., the fixed point of the morphism ., ., .. We use our decision procedure to reprove some old results about the Tribonacci word from the literature, such as assertions about the occurrences in . of squares, cubes, palindromes,
积习难改
发表于 2025-3-26 08:58:33
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范例
发表于 2025-3-26 13:58:38
Go Muan Sang,Lai Xu,Paul de Vriezein its language. A minimal square does not have a square as a proper prefix. A Sturmian word . of slope . can be written as a product of these six minimal squares: .. The square root of . is defined to be the word .. We prove that . is also a Sturmian word of slope .. Moreover, we describe how to fi
reaching
发表于 2025-3-26 20:24:11
https://doi.org/10.1007/978-3-030-18240-3ucture. First, we show that non-branching paths in this tree are short: such a path from a node of .th level has length .. Second, we prove that any infinite path in the tree has a lot of branching points: the lower density of the set of such points is at least 2/9.