Cyclic sieving
WebIn combinatorial mathematics, cyclic sieving is a phenomenon by which evaluating a generating function for a finite set at roots of unity counts symmetry classes of objects … WebApr 13, 2024 · In recent years, expanded polystyrene (EPS) lightweight soil has been widely used as subgrade in soft soil areas because of its light weight and environmental protection. This study aimed to investigate the dynamic characteristics of sodium silicate modified lime and fly ash treated EPS lightweight soil (SLS) under cyclic loading. The effects of EPS …
Cyclic sieving
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WebImplementation of the Cyclic Sieving Phenomenon as described by Reiner, Stanton, and White in [RSW2004]. We define the CyclicSievingPolynomial () of a finite set S together … WebOct 1, 2004 · The cyclic sieving phenomenon is defined for generating functions of a set affording a cyclic group action, generalizing Stembridge's q=−1 phenomenon. The …
WebJul 20, 2024 · We examine a few families of semistandard Young tableaux, for which we observe the cyclic sieving phenomenon under promotion. The first family we consider consists of stretched hook shapes, where we use the cocharge generating polynomial as CSP-polynomial. The second family we consider consists of skew shapes, consisting of … WebAug 1, 2024 · The cyclic code having is called the parity check code of length n (particularly when ). As a vector space, it is the space of all vectors in with coordinate sum 0. Its dual code consisting of the scalar multiples of is the repetition code.
WebJul 31, 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on … WebAug 1, 2024 · The Cyclic Sieving Phenomenon describes the following enumerative situation. One has a finite set X having the action of a cyclic group C = 〈 c 〉 = {1, c, c …
WebOct 1, 2004 · Cyclic Sieving. Cyclic sieving was introduced by Reiner, Stanton and White [10] as a way to express various related results about the enumeration of fixed points of a cyclic action. If X is a...
WebWeyl Group q-Kreweras Numbers and Cyclic Sieving Here, P(n) is the set of all partitions λ =(λ1 ≥ λ2 ≥···≥λ > 0) of the number n and μ j(λ) denotes the multiplicity of the number j among the parts {λ i}. The number of parts =: (λ)ofλ is called the length of λ. Kreweras [28] originally interpreted C n,N(n,k),Krew(λ) in terms ... god is the fountain of lifeWebThe cyclic sieving phenomenon V. Reiner,1 D. Stanton, and D. White Department of Mathematics, School of Mathematics, University of Minnesota, Minneapolis, MN 55455, … book about slaveryWebJan 1, 2010 · We say that the triple (X,C, X (q)) exhibits the cyclic sieving phenomenon (CSP) if for any integer dgreaterorequalslant0 we have that the fixed point set cardinality X c d is equal to the polynomial evaluation X (ζ d ). god is the first cause of all thingsWebJun 25, 2024 · The cyclic sieving phenomenon is a notion in enumerative combinatorics which encapsulates the fixed-point structure of the action of a finite cyclic group C on a finite set X in terms of root-of-unity evaluations of an auxiliary polynomial X ( q ). We apply orbit harmonics to prove cyclic sieving results. Introduction book about shipwrecked children on an islandWebJan 1, 2010 · However, we do have cyclic sieving ‘up to modulus’. Moreover, since the q-hook length formula is (up to a power of q) a special case of a Kostka–Foulkes … god is the foundationWebFeb 1, 2024 · In this note, we provide a short proof of Theorem 4.3 in the paper titled Crystals, semistandard tableaux and cyclic sieving phenomenon, by Y.-T. Oh and E. Park, which concerns a cyclic sieving ... god is the foundation of lifeWebFeb 11, 2024 · The Women in Algebraic Combinatorics Research Community will bring together researchers at all stages of their careers in algebraic combinatorics, from both research and teaching-focused institutions, to work in groups of 4-6, each directed by a leading mathematician. god is the gardener hugh b brown