Results 51 to 60 of about 282 (108)
Recent results in hyperring and hyperfield theory
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 209-220, 1988., 1987 This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure. The results in this paper show that these structures cannot always be embedded in the decomposition of an ordinary structure (ring or field) in equivalence classes and that ...
Anastase Nakassis
wiley +1 more source
Hopf algebras for matroids over hyperfields [PDF]
, 2018 Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the notion of minors and direct sums from ordinary matroids to matroids over ...
Eppolito, Chris +2 more
core
AN APPROACH TO SEMIHYPERMODULES OVER SEMIHYPERRINGS [PDF]
In this paper, we introduce semihypermodules over semihyperrings as a generalization of semimodules over semirings. Besides studying their properties, we introduce an equivalence relation on them and use it to define factor semihypermodules. Moreover, we
Al Tahan, Madeleine, Davvaz, Bijan
core +1 more source
Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
, 2020 We develop a theory of multiplicities of roots for polynomials over hyperfields and use this to provide a unified and conceptual proof of both Descartes' rule of signs and Newton's "polygon rule".Comment: 21 pages.
Baker, Matthew, Lorscheid, Oliver
core
Notes on valuation theory for Krasner hyperfields
, 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
core
Orderings and valuations in hyperfields
, 2021 We introduce and study in detail the notion of compatibility between valuations and orderings in real hyperfields. We investigate their relation with valuations and orderings induced on factor and residue hyperfields.
Kuhlmann, Katarzyna +2 more
core
A Fuzzy Controller for Multiple Hyper-Redundant Cooperative Robots
IFAC Proceedings Volumes, 1998 Abstract A control system is proposed to solve the local control for a multi-chain robotic system formed by tentacle manipulators grasping a common object with hard point contacts. The two-level hierarchical control is adopted. The upper level coordinator gathers all the necessary information to resolve the force distribution.
Nicu George Bizdoaca +2 more
openaire +2 more sources
Hyper-parameter optimization tools comparison for multiple object tracking applications [PDF]
Machine Vision and Applications, 2018 Commonly, when developing an algorithm it is necessary to define a certain number of variables that control its behavior. Optimal parameters result in better performance that could translate into profits for companies, stand out among similar applications or better ranking on algorithm competitions.
Madrigal Diaz, Jorge Francisco +2 more
openaire +4 more sources
REPRODUCED PRINCIPAL IDEAL DOMAIN ON GENERAL HYPERRING Zp^nq^m [PDF]
Every classical algebra is a set equipped with binary operations that operate under certain axiom principles. The generalization of classical algebras to hyperalgebras has been created with the aim of generalizing operations to hyperoperations that apply
Daneshpayeh, Roohallah +1 more
core +1 more source
From monoids to hyperstructures: in search of an absolute arithmetic
, 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 adele class ...
Connes, Alain, Consani, Caterina
core