Results 51 to 60 of about 110,300 (317)
Smarandache's Pedal Polygon Theorem in the Poincare Disc Model of Hyperbolic Geometry [PDF]
, 2010 In this note, we present a proof of the hyperbolic a Smarandache's pedal polygon theorem in the Poincare disc model of hyperbolic ...
Barbu, Catalin
core +1 more source
Al-Mustansiriyah Journal of Science, 2021 In this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.
Gülcan Balakan, Oğuzhan Demirel
doaj +1 more source
Advancing Age Modulates Associations Between Cognitive Impairment and Brain Volumes in Early MS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Introduction Cognitive impairment is common in multiple sclerosis (MS), but manifestations following the first demyelinating event are relatively unexplored. We investigated cross‐sectional associations between magnetic resonance imaging (MRI)–derived brain volumes and the presence of cognitive impairment outcomes five years after the first ...
Piriyankan Ananthavarathan +14 more
wiley +1 more source
Conjugacy in normal subgroups of hyperbolic groups
, 2012 Let N be a finitely generated normal subgroup of a Gromov hyperbolic group G. We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in terms of the corresponding properties of G/N.
Armando Martino +3 more
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
core +1 more source
Lyapunov stable homoclinic classes for smooth vector fields
Open Mathematics, 2019 In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov stable homoclinic class, then it does not contain any singularity and it is hyperbolic.
Lee Manseob
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto +12 more
wiley +1 more source
Equality of internal angles and vertex points in conformal hyperbolic triangles
Cumhuriyet Science Journal, 2020 In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these special
Ümit Tokeşer, Ömer Alsan
doaj +1 more source
Michigan Mathematical Journal, 2011 The aim of this paper is to establish connections between a metric space \(X\) and the large-scale geometry (in the sense of Gromov) of the hyperspace \(\mathcal H(X)\) of its non-degenerate closed bounded subsets, and to study the mappings on \(X\) in terms of the induced mappings on \(\mathcal H(X)\). The metric space \(X\) can be identified with the
openaire +3 more sources
A Two‐Stage Questionnaire and Actigraphy Screening for iRBD in a Multicenter Retrospective Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Isolated rapid‐eye‐movement sleep behavior disorder is a prodromal marker of synucleinopathies. However, most cases remain undiagnosed due to the insufficient predictive value of questionnaires and limited access to confirmatory video‐polysomnography. We assessed a two‐stage screening strategy combining a brief questionnaire on rapid‐
Caleb A. Massimi +17 more
wiley +1 more source