Results 71 to 80 of about 239 (103)
On the relation between hyperrings and fuzzy rings [PDF]
, 2017 We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
Jeffrey Giansiracusa +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.
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On the asymptotic behavior of finite hyperfields
21 pages, 1 ...
Le, Tuong, Lowen, Chayim
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Hypernorm on hypervector spaces over a hyperfield
The Journal of AnalysisAbstractHypernorm is a generalization of the notion of a norm on a vector space over a field. In this paper, we consider a hypervector space $$(\mathbb {V}, +)$$ ( V , + ) over a hyperfield, where $$+
P. Pallavi +4 more
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Inductive graded rings, hyperfields and quadratic forms
, 2023 The goal of this work is twofold: (i) to provide a detailed analysis of some categories of inductive graded ring - a concept introduced in [DM98] in order to provide a solution of Marshall's signature conjecture in the algebraic theory of quadratic forms;
Roberto, Kaique Matias de Andrade +1 more
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Convex geometry over ordered hyperfields
Innovations in Incidence Geometry: Algebraic, Topological and CombinatorialWe initiate the study of convex geometry over ordered hyperfields. We define convex sets and halfspaces over ordered hyperfields, presenting structure theorems over hyperfields arising as quotients of fields. We prove hyperfield analogues of Helly, Radon and Carathéodory theorems. We also show that arbitrary convex sets can be separated via hemispaces.
Maxwell, James, Smith, Ben
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Factoring multivariate polynomials over hyperfields and the multivariable Descartes' problem
, 2023 We develop several notions of multiplicity for linear factors of multivariable polynomials over different arithmetics (hyperfields). The key example is multiplicities over the hyperfield of signs, which encapsulates the arithmetic of $\mathbf{R}/\mathbf ...
Gross, Andreas, Gunn, Trevor
core
HyperFields: Towards Zero-Shot Generation of NeRFs from Text [PDF]
We introduce HyperFields, a method for generating text-conditioned Neural Radiance Fields (NeRFs) with a single forward pass and (optionally) some fine-tuning.
Shakhnarovich, Greg +5 more
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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception. [PDF]
Vision (Basel), 2018 Neilson PD, Neilson MD, Bye RT.
europepmc +1 more source