Results 61 to 70 of about 177 (119)
Factorization of polynomials over the symmetrized tropical semiring and Descartes' rule of sign over ordered valued fields [PDF]
International audienceThe symmetrized tropical semiring is an extension of the tropical semifield, initially introduced to solve tropical linear systems using Cramer's rule.
Akian, Marianne +2 more
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From monoids to hyperstructures: in search of an absolute arithmetic [PDF]
, 2010 We show that the trace formula interpretation of the explicit formulas expresses the counting function N.q/ of the hypothetical curve C associated to the Riemann zeta function, as an intersection number involving the scaling action on the adèle class ...
Alain Connes, Caterina Consani
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A note on Hypervector Spaces [PDF]
, 2020 The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Tapas K Samanta, Sanjay Roy
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Notes on valuation theory for Krasner hyperfields [PDF]
, 2023 The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of valuation rings to describe equivalence of valuations on hyperfields ...
Linzi, Alessandro
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Sphingosine-1-phosphate expression in human epiretinal membranes. [PDF]
PLoS One, 2022 Kim M, Kwon S, Jeon S, Jung BJ, Kim KS.
europepmc +1 more source
Hypervaluations on Hyperfields and Ordered Canonical Hypergroups
Journal of Mathematical Sciences and InformaticsWe study the concept of hypervaluations on hyperfields. In particular, we show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of a hypervaluation onto an ordered abelian group (which induces the same valuation hyperring) and an order preserving homomorphism of hypergroups.
Linzi, Alessandro, Stojałowska, Hanna
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A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement. [PDF]
Vision (Basel), 2021 Neilson PD, Neilson MD, Bye RT.
europepmc +1 more source
The Riemannian Geometry Theory of Visually-Guided Movement Accounts for Afterimage Illusions and Size Constancy. [PDF]
Vision (Basel), 2022 Neilson PD, Neilson MD, Bye RT.
europepmc +1 more source
Linear algebra over T-pairs [PDF]
, 2023 Preprint arXiv:2310.05257This paper treats linear algebra over a semiring pair, in a wide range of applications to tropical algebra and related areas such as hyperrings and fuzzy rings.
Rowen, Louis +2 more
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Hypergroups and hyperfields in universal algebra
, 2016 Hypergroups are lifted to power semigroups with negation, yielding a method of transferring results from semigroup theory. This applies to analogous structures such as hypergroups, hyperfields, and hypermodules, and permits us to transfer the general theory from universal algebra. Special attention is given to the examples from Baker's article.
openaire +2 more sources