Diagonalising the Abelian Group-Based Models
Deterministic Abelian Sandpile Models and Patterns
... the Abelian Sandpile Model ...sandpile models that exhibits, in the way we will discuss later, the mathematical structure of an abelian group, and its statistics is connected to that of ...
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Universal Quantum Computation with Abelian Anyon Models
... anyon models, realizable on spin lattice. These are abelian, and so not expected to possess any serious computational ...these models, and likely for most others as ...topological models on ...
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Learning of classification models from group-based feedback
... • Query complexity and the cost of human annotation. One important open ques- tion regards the actual difficulty of understanding and answering region-based queries by human annotators. We assumed that in general, ...
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Using the Beta distribution in group-based trajectory models
... mixture models are a valuable tool for approximating an unknown continuous distribu- ...each group ’ s trajectory is typically determined by starting with an assumed maximum order for each trajectory ...
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A New Signature Scheme Define over a Class of Non-Abelian Group
... secure based on the hardness of some mathematical problems in a large and finite abelian group (more precisely, finite cyclic groups) (Fiat et ...theories based hard problems become feasible ...
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Symbolic Protocol Analysis With an Abelian Group Operator or Diffie-Hellman Exponentiation
... than Abelian groups, or to richer equational the- ories that more accurately represent properties of the relevant cryptographic ...protocol models, or for protocols that employ cryptographic primitives ...
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Comparing Lane Based and Lane-group Based Models of Signalised Intersection Networks
... model based on using "lane groups" or "links" through aggregation of individual lane conditions, and (ii) a new "lane-based" model of upstream departure and downstream arrival ...
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Abelian theorems for stochastic volatility models with application to the estimation of jump activity of volatility
... is based on the statistics that counts the “big” increments of the process ...ASV models is hardly ever known in closed form making the maximum- likelihood estimation ...index based on low-frequency ...
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Symmetric groups, wreath products, Morita equivalences, and Broue's abelian defect group conjecture
... the blocks in the fourth pair are splendidly Rickard equivalent based on the existence of splendid Rickard equivalences for blocks with cyclic defect groups, proved by Rouquier in [14]. The blocks in the third ...
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The probability that an element of a non-abelian group fixes a set and its applications in graph theory
... Research Based on this research, further studies on the probability that an element of a group fixes a set can be ...some group action on the set including, regular action, conjugate action and ...
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Perpendicularity in an Abelian Group
... 7. Discussion This paper began with a citation by three established mathe- maticians and computer scientists who showed a remarkable intuition by promoting the use of the symbol of perpendicu- larity in number theory. ...
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Grothendieck groups of abelian group rings
... As in the previous section, we denote by ^"(π) the set of cyclic factor groups of π, and for QeX(n) we identify the /ite)-modules with the Απ-modules annihilated by the kernel of t[r] ...
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A nilpotent non abelian group code
... the group G can be written as G = AB for two abelian subgroups A, B 6 G, for short G has an abelian decomposition, then by [3, Theo- rem ...an abelian group ...any group ring ...
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The group of homomorphisms of abelian torsion groups
... A reduced algebraically compact group is called adjusted if it has no torsion free direct summands.. A reduced algebraically compact group A is the direct sum of an.[r] ...
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Results on Exhaustion Sets in Abelian Group
... various abelian groups, see (Eliahou and Ker- vaire, 1998, 2005, 2006, 2010, Eliahou et ...of abelian groups, some recent results on sumsets in finite non-abelian groups (Eliahou and Kervaire, 2006, ...
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ON DECOMPOSITIONS OF NORMED UNITS IN ABELIAN GROUP RINGS
... 1. Introduction Throughout this paper, let R be a commutative unitary ring of arbitrary characteristic and let G be an abelian multiplicative group. Besides, tradition- ally suppose RG is the group ...
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Abelian group factorization from perfect codes
... This Haj`os reformulation turned out to provide not only a strong tool in the area of tiling but also in other areas of mathematics such as number theory, graph theory, geometry, functional analysis, and coding theory ...
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On the existence of complements in a group to some abelian normal subgroups
... a group G is said to have finite special rank r(G) = r if every finitely generated subgroup of G can be generated by r elements and r is the least positive integer with this ...
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Abelian group in a topos of sheaves: torsion and essential extensions
... Our purpose here is to show how torsion groups and their essential extensions behave in the category AbShL of abellan groups in the topos ShL of sheaves on a locale L.. We show that tors[r] ...
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Rational functions invariant under a finite abelian group
... Rational Functions Invariant under a Finite Abelian Group 301 the order of A, and Section 5 contains the proof of the main theorem.. Supplementary results are given in Section 6, and som[r] ...
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