Results 61 to 70 of about 110,300 (317)

Smarandache’s Cevian Triangle Theorem in The Einstein Relativistic Velocity Model of Hyperbolic Geometry [PDF]

open access: yes, 2010
In this note, we present a proof of Smarandache’s cevian triangle hyperbolic theorem in the Einstein relativistic velocity model of hyperbolic ...
Barbu, Catalin
core   +1 more source

An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach [PDF]

open access: yesMathematics Interdisciplinary Research, 2016
‎The aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]‎. ‎In [1]‎, ‎Ungar and Chen showed that the algebra of the group SL(2, C) naturally leads to the notion of gyrogroups ‎and gyrovector spaces for dealing ...
Mahfouz Rostamzadeh   +1 more
doaj   +1 more source

Hyperbolicity and Cycles [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
In this paper cycle points are defined without the assumption of Axiom A. The closure of the set of cycle points C \mathcal {C}
Franke, J. E., Selgrade, J. F.
openaire   +1 more source

Subclinical Optic Nerve Involvement in Radiologically Isolated Syndrome: Multimodal Detection and Diagnostic Impact

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives We aimed to determine the frequency of subclinical optic nerve (ON) lesions using MRI, optical coherence tomography (OCT), and visual evoked potentials (VEP) in radiologically isolated syndrome (RIS), and to assess their diagnostic and prognostic significance.
Christine Lebrun‐Frenay   +13 more
wiley   +1 more source

Teichmüller spaces and HR structures for hyperbolic surface dynamics [PDF]

open access: yes, 2002
We construct a Teichmüller space for the C^{1+}-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show ...
D. A. RAND   +3 more
core   +1 more source

An application of modified systematic sampling in auto-correlated populations

open access: yesKuwait Journal of Science
This study explores the efficiency of modified systematic sampling (MSS) in the context of auto-correlated populations. The MSS scheme is compared to linear systematic sampling (LSS), circular systematic sampling (CSS) and mixed random systematic ...
doaj   +1 more source

Hyperbolic Quaternions [PDF]

open access: yesProceedings of the Royal Society of Edinburgh, 1902
It is well known that quaternions are intimately connected with spherical trigonometry, and in fact they reduce that subject to a branch of algebra. The question is suggested whether there is not a system of quaternions complementary to that of Hamilton, which is capable of expressing trigonometry on the surface of the equilateral hyperboloids.
openaire   +1 more source

Association Between Symptomatic Knee Osteoarthritis and Target Glycemic Control in Individuals With Type 2 Diabetes

open access: yesArthritis Care &Research, EarlyView.
Objective Knee osteoarthritis (OA) commonly affects individuals with type 2 diabetes (T2DM) and is associated with increased risk of diabetes‐related complications. To better understand potential mechanisms, we examined the association between symptomatic knee OA and glycemic control in individuals with T2DM.
Lauren K. King   +10 more
wiley   +1 more source

The 2- refined neutrosophic hyperbolic functions with its differential and integrals [PDF]

open access: yesNeutrosophic Sets and Systems
This article's goal is to study the 2-refined neutrosophic hyperbolic functions by defining the 2-refined neutrosophic hyperbolic functions, discussing the 2-refined neutrosophic hyperbolic identities, introducing the rules for derivatives and integrals ...
Yaser Ahmad Alhasan   +2 more
doaj   +1 more source

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