Results 71 to 80 of about 112 (84)
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On the hyperfield or field-of-field concept
International Journal of Geographical Information Science, 2013This article introduces the concept of hyperfield as a recursive field-of-field structure using a Unified Modelling Language UML modelling approach in two different variants, the hyperfield instance and hyperfield template models. The recursive property defines a hyperfield of degree n as a representation of a relation between n locations in ...
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Journal of Algebraic Hyperstructures and Logical Algebras
The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences.
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The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences.
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Hyperaffine planes over hyperfields
Journal of Geometry, 1995The authors first study hyperaffine planes coordinatized over planar hyperfields. The main purpose of the paper is to show that if an abstract hyperaffine plane satisfies certain additional conditions 1-11, then there exists a hyperfield such that the coordinate plane over this hyperfield is isomorphic to the given hyperaffine plane.
Procesi Ciampi, R., Rota, R.
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1984
The concepts of (semi) hypergroups, hyperrings or hyperfields H differ from the ones of (semi) groups, rings, fields by replacing the operations of addition and multiplication by maps from H×H into the collection of nonempty subsets of H . A hyperring (H,∘,□) is complete if both (H,∘) and (H,□) are complete. The author gives examples for these concepts
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The concepts of (semi) hypergroups, hyperrings or hyperfields H differ from the ones of (semi) groups, rings, fields by replacing the operations of addition and multiplication by maps from H×H into the collection of nonempty subsets of H . A hyperring (H,∘,□) is complete if both (H,∘) and (H,□) are complete. The author gives examples for these concepts
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Generalisations of Tropical Geometry over Hyperfields
2022Hyperfields are structures that generalise the notion of a field by way of allowing the addition operation to be multivalued. The aim of this thesis is to examine generalisations of classical theory from algebraic geometry and its combinatorial shadow, tropical geometry.
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Design issues of a hyperfield fisheye lens
SPIE Proceedings, 2004This paper discusses the design of a 310 degree fisheye lens. Particular attention is paid to color correction and lens edge overlap. Other issues in the design of fisheye lenses are addressed such as the distortion/mapping, illumination, and overall aberration correction.
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Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
Journal of Algebra, 2021Matthew Baker, Oliver Lorscheid
exaly
Classification of doubly distributive skew hyperfields and stringent hypergroups
Journal of Algebra, 2021Ting Su, Nathan Bowler
exaly
Hyperfield: a large constellation of hyperspectral nanosatellites
Algorithms, Technologies, and Applications for Multispectral and Hyperspectral Imaging XXIX, 2023Michal Shimoni +3 more
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