Results 51 to 60 of about 2,289 (133)

n-Ary Cartesian Composition of Multiautomata with Internal Link for Autonomous Control of Lane Shifting

Mathematics, 2020
In this paper, which is based on a real-life motivation, we present an algebraic theory of automata and multi-automata. We combine these (multi-)automata using the products introduced by W.
Štěpán Křehlík
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Properties of n-ary hypergroups relevant for modelling trajectories in HD maps

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán, Novák Michal, Bolat Melis   +2 more
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A Note on Hypervector Spaces

, 2011
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.
Roy, Sanjay, Samanta, T. K.
core   +1 more source

Hypercompositional Algebra, Computer Science and Geometry

Mathematics, 2020
The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
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Fourier algebras of hypergroups and central algebras on compact (quantum) groups

, 2016
This paper concerns the study of regular Fourier hypergroups through multipliers of their associated Fourier algebras. We establish hypergroup analogues of well-known characterizations of group amenability, introduce a notion of weak amenability for ...
Alaghmandan, Mahmood, Crann, Jason
core   +1 more source

Reconstruction inversion formulas for the Laguerre Gabor transform

Journal of Numerical Analysis and Approximation Theory
In this paper, we define and study the Gabor transform in the context of the Laguerre hypergroup. We prove some of its basic properties, such as Plancherel theorem, inversion formula and Calder´on’s reproducing inversion formula.
Khaled Hleili, Manel Hleili
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THE TRANSPOSITION AXIOM IN HYPERCOMPOSITIONAL STRUCTURES

Ratio Mathematica, 2011
The hypergroup (as defined by F. Marty), being a very general algebraic structure, was subsequently quickly enriched with additional axioms. One of these is the transposition axiom, the utilization of which led to the creation of join spaces (join ...
Ch.G. Massouros, G.G. Massouros
doaj  

Fundamental Functor Based on Hypergroups and Groups [PDF]

Mathematics Interdisciplinary Research, 2018
The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a ...
Mohammad Hamidi
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Hypergroups and Geometric Spaces

Ratio Mathematica, 2012
We explain some links between hypergrpoups and geometric spaces. We show that for any given hypergroup it is possible to define a particular geometric space and then a canonical homomorphism between the hypergroup and a group.
Maria Scafati Tallini
doaj  

Algorithm for Determining the Strong Fuzzy Grade of a Hypergroup

Algorithms
In this paper, we present an algorithm for determining the strong fuzzy grade of a hypergroup, considering a particular class of hypergroups associated with genetics. A study is carried out depending on the cardinality of the initial hypergroup. The last
Yuming Feng, Violeta Leoreanu-Fotea
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