Results 41 to 50 of about 2,333 (139)
Analysis of the Wiener Index of Rough Annihilator Graph Over Rough Semirings
Journal of Mathematics, Volume 2026, Issue 1, 2026.An effective analytical and visual tool for comprehending the annihilator relationships inside a rough semiring is its annihilator graph. This paper introduces and investigates rough annihilator graph, denoted RAG(T), of the commutative rough semiring T.
Sudha B., Praba B., Pramita Mishra
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Fuzzy relations are more advanced than crisp binary relations, which are applicable in control systems in artificial intelligence. Our research study develops a fuzzy spherical linear Diophantine fuzzy (SLDFu) relation as a more advanced tool to handle uncertainty in decision‐making.
Muhammad Zohaib +5 more
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Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
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Operators that preserve semiring matrix functions
Linear Algebra and its Applications, 1988 Let S be a commutative, antinegative (i.e. none of its nonzero elements have additive inverses) semiring without zero divisors, \(\epsilon_ r(A)\) be the sum of all the \(r\times r\) principal minor permanents of A. It is shown that the only linear operators on the \(n\times n\) matrices over S that preserve \(\epsilon_ r(n>r\geq 3)\) are compositions ...
Beasley, LeRoy B., Pullman, Norman J.
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New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
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Integrating amyloid imaging and genetics for early risk stratification of Alzheimer's disease
Alzheimer's &Dementia, Volume 20, Issue 11, Page 7819-7830, November 2024.Abstract INTRODUCTION Alzheimer's disease (AD) initiates years prior to symptoms, underscoring the importance of early detection. While amyloid accumulation starts early, individuals with substantial amyloid burden may remain cognitively normal, implying that amyloid alone is not sufficient for early risk assessment.
Bing He +11 more
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The Metric Dimension of the Zero-Divisor Graph of a Matrix Semiring
Bulletin of the Malaysian Mathematical Sciences Society, 2023 We determine the metric dimension of the zero-divisor graph of the matrix semiring over a commutative entire antinegative semiring.
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Constructing Adjacency Arrays from Incidence Arrays
, 2017 Graph construction, a fundamental operation in a data processing pipeline, is typically done by multiplying the incidence array representations of a graph, $\mathbf{E}_\mathrm{in}$ and $\mathbf{E}_\mathrm{out}$, to produce an adjacency array of the graph,
Dibert, Karia +2 more
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International Journal of Antennas and Propagation, Volume 2024, Issue 1, 2024.This article presents a planar Vivaldi array antenna based on a power divider structure. A half‐loop defected ground structure (DGS) is performed to decrease the mutual coupling between antennas in the bottom layer of the substrate. The proposed Vivaldi antenna has a 1 × 8 power divided microstrip line structure and performs well in antenna gain and ...
Ming-An Chung +4 more
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Free objects in triangular matrix varieties and quiver algebras over semirings [PDF]
Journal of Algebra, 2022 19 ...
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