Results 41 to 50 of about 246,865 (191)
On the poset of partitions of an integer
Journal of Combinatorial Theory, Series A, 1986 The partially ordered sets \(P_ n\) of partitions of a positive integer n, ordered by refinement are studied. In particular, the author disproves the conjecture that the partially ordered sets are Cohen-Macaulay [for a definition see \textit{A. Björner, A. M. Garsia} and \textit{R. P.
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Memristive‐Gated RC‐Delay Synaptic Transistors for Time‐Encoded Analog in‐Memory Computing
Advanced Functional Materials, EarlyView.A Memristive‐Gated Transistor for Time‐Encoded Analog In‐Memory Computing — By exploiting the RC delay of a self‐rectifying interface‐type memristor, nonlinear I–V distortion is structurally bypassed, enabling 3‐bit nonvolatile memory, spike‐timing‐based analog encoding, and hardware‐calibrated reservoir‐computing validation within a unified device ...
Yun‐Seo Shin +7 more
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A Nekrasov-Okounkov type formula for affine $\widetilde{C}$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 In 2008, Han rediscovered an expansion of powers of Dedekind $\eta$ function due to Nekrasov and Okounkov by using Macdonald's identity in type $\widetilde{A}$.
Mathias Pétréolle
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Distribution of generalized mex-related integer partitions
, 2021 The minimal excludant or "mex" function for an integer partition π of a positive integer n, mex(π), is the smallest positive integer that is not a part of π.
Ray, Chiranjit +3 more
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Goldbach partitions and norms of cusp forms
Journal of Numerical Analysis and Approximation Theory, 2019 An integral formula for the Goldbach partitions requires uniform convergence of a complex exponential sum. The dependence of the coefficients of the series is found to be bounded by that of cusp forms.
Simon Brian Davis
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On Partitions and Arf Semigroups
Open Mathematics, 2019 In this study we examine some combinatorial properties of the Arf semigroup. In previous work, the author and Karakaş, Gümüşbaş defined an Arf partition of a positive integer n. Here, we continue this work and give new results on Arf partitions.
Tutaş Nesrin
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On the sum of partition norms and its connection to norms of partitions with parts greater than one [PDF]
Notes on Number Theory and Discrete MathematicsWe study the —the product of the parts of a partition—with emphasis on partitions whose parts all exceed 1. We obtain two bivariate recurrences for the sum of norms over partitions into distinct parts, including a refinement that separates the ...
Meenakshi Rana +2 more
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Derivatives are essentially integer partitions [PDF]
, 2000 •Matrix notation simplifies derivatives and relates them to integer partitions.•By differentiation, terms are Dn(f1∘⋯∘fm) are related to terms of Dn+1(f1∘⋯∘fm). By matrix notation, terms of Dn(f1∘⋯∘fm) are related to terms of Dn(f1∘⋯∘fm+1).•Let M(m,n) be
Winston C. Yang, Yang, Winston C.
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On integer partitions corresponding to numerical semigroups [PDF]
, 2023 Numerical semigroups are cofinite additive submonoids of the natural numbers. In 2011, Keith and Nath illustrated an injection from numerical semigroups to integer partitions.
Sisneros-Thiry, Simone +2 more
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Forcibly-biconnected Graphical Degree Sequences: Decision Algorithms and Enumerative Results
Theory and Applications of Graphs, 2019 We present an algorithm to test whether a given graphical degree sequence is forcibly biconnected. The worst case time complexity of the algorithm is shown to be exponential but it is still much better than the previous basic algorithm for this problem ...
Kai Wang
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