Titlebook: Advances in Mathematical Sciences; AWM Research Symposi Bahar Acu,Donatella Danielli,Miranda Teboh-Ewungke Book 2020 The Author(s) and the

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https://doi.org/10.1007/978-3-030-46339-7vior does occur in biological systems. We show that chaotic behavior can also be used to ensure the survival of the species involved in a system. We adopt the concept of permanence as a measure of survival and take advantage of present chaotic behavior to push a non-permanent system into permanence

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https://doi.org/10.1057/9780230118515rning. While intuitive, motif counts are expensive to compute and difficult to work with theoretically. Via graphon theory, we give an explicit quantitative bound for the ability of motif homomorphisms to distinguish large networks under both generative and sampling noise. Furthermore, we give simil

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Kepa Korta,Ernest Sosa,Xabier Arrazolas for the depths of squarefree monomial ideals, which were given in terms of the edgewise domination number of the corresponding hypergraphs and the lengths of initially regular sequences with respect to the ideals.

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Cognition, Agency and Rationality without loops because edges are only defined on pairs of distinct nonzero zero-divisors. In this paper, we study zero-divisor graphs of a ring . that may have loops. We denote such graphs by Γ.(.). If . is a noncommutative ring, . denotes the directed zero-divisor graph of . that allow loops. Consi

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A Pattern Approach to Interaction Designmigroup rings and derive formulae for their Betti Numbers and Hilbert Functions. We give only the statements of theorems. The proofs can be found in the published articles that are cited. All of the results are from joint works of the author with P. Gimenez and I. Sengupta.

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