Results 51 to 60 of about 112 (84)

Convex geometry over ordered hyperfields

Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
We 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
openaire   +2 more sources

Hypernorm on hypervector spaces over a hyperfield

The Journal of Analysis
AbstractHypernorm 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, S. P. Kuncham, S. Tapatee, B. Vadiraja, P. K. Harikrishnan   +4 more
openaire   +1 more source

A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception. [PDF]

Vision (Basel), 2018
Neilson PD, Neilson MD, Bye RT.
europepmc   +1 more source

Transcriptional profiling of dividing tumor cells detects intratumor heterogeneity linked to cell proliferation in a brain tumor model. [PDF]

Mol Oncol, 2016
Endaya BB, Lam PY, Meedeniya AC, Neuzil J.   +3 more
europepmc   +1 more source

The organization of spatial coding in the hippocampus: a study of neural ensemble activity. [PDF]

J Neurosci, 1989
Eichenbaum H, Wiener SI, Shapiro ML, Cohen NJ.   +3 more
europepmc   +1 more source

Signed Tropicalization of Polar Cones. [PDF]

J Optim Theory Appl
Akian M, Allamigeon X, Gaubert S, Sergeev S.   +3 more
europepmc   +1 more source

Stationary Fourier Hyperfields

Stationary Fourier Hyperfields
In this paper, we define stationary Fourier hyperfields and prove the structure theorems of stationary Fourier hyperfields. Thereby we determine the whole class of all stationary Fourier hyperfields.
openaire  

Roots of polynomials over semirings and hyperfields

24 pages We returned to the earlier version, since there was a gap in our ...
openaire   +2 more sources

Orderings and valuations in hyperfields

Journal of Algebra, 2022
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. Much of the theory from real fields can be generalized to real hyperfields; we point out facts that cannot. We generalize the Baer-Krull
Alessandro Linzi, Katarzyna Kuhlmann, Hanna Stojałowska   +2 more
exaly   +5 more sources

Geometry of hyperfields

Journal of Algebra, 2021
26 pages, Final version to appear in Journal of ...
Jaiung Jun
exaly   +3 more sources