Results 71 to 80 of about 83,771 (308)

Generative Adversarial Framework to Calibrate Excursion Set Models for the 3D Morphology of All‐Solid‐State Battery Cathodes

Advanced Intelligent Systems, EarlyView.
Worklow for calibrating excursion sets of random fields using methods from generative artificial intelligence. This article presents a computational method for generating virtual 3D morphologies of functional materials using low‐parametric stochastic geometry models, that is, digital twins, calibrated with 2D microscopy images.
Orkun Furat, Sabrina Weber, Anina Dufter, Johannes Schubert, René Rekers, Maximilian Luczak, Erik Glatt, Andreas Wiegmann, Jürgen Janek, Anja Bielefeld, Volker Schmidt   +10 more
wiley   +1 more source

Hypersurface Constrained Elasticae in Lorentzian Space Forms

Advances in Mathematical Physics, 2015
We study geodesics in hypersurfaces of a Lorentzian space form M1n+1(c), which are critical curves of the M1n+1(c)-bending energy functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live
Óscar J. Garay, Álvaro Pámpano, Changhwa Woo   +2 more
doaj   +1 more source

Windings of Prime Geodesics [PDF]

International Mathematics Research Notices
Abstract The winding of a closed oriented geodesic around the cusp of the modular orbifold is computed by the Rademacher symbol, a classical function from the theory of modular forms. In this article, we introduce a new construction of winding numbers to record the winding of closed oriented geodesics about a prescribed cusp of a general
Burrin, Claire, von Essen, Flemming
openaire   +5 more sources

Exenatide Once Weekly in the Treatment of Patients with Multiple System Atrophy

Annals of Neurology, EarlyView.
Objective Exenatide, a glucagon‐like peptide‐1 (GLP‐1) receptor agonist, has neuroprotective effects in preclinical models of multiple system atrophy (MSA). We investigated these effects in a proof‐of‐concept clinical trial. Methods In this single‐center, randomized, open label trial, participants with MSA were randomly assigned (1:1) to receive ...
Nirosen Vijiaratnam, Christine Girges, Martin Wiegand, Claudia Ismail, Alexandra Lameirinhas, Alison Yarnall, Cameron Kirk, Silvia Del‐Din, Lynn Rochester, Christopher Kobylecki, Gareth Ambler, Simon Skene, Henry Houlden, Viorica Chelban, Amanda Heslegrave, Wendy Phillips, Alan Whone, Niall Quinn, Christian Lambert, Charlotte Dore, Huw R. Morris, Mathew H. Horrocks, Ji Eun Lee, Judi O'Shaughnessy, Yazhou Li, Nigel H. Greig, Sonia Gandhi, Vincenzo Libri, Dilan Athauda, Tom Foltynie   +29 more
wiley   +1 more source

APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS

Selecciones Matemáticas, 2016
In this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for ...
Franco Rubio, Ronald León
doaj   +1 more source

Convergence to a geodesic [PDF]

Osaka Journal of Mathematics, 1993
The equation \((d/dt) (c_ t)= D_{\dot c_ t}\dot c_ t\) (ES), a semi-linear heat equation, was studied by Eels and Sampson [\textit{J. Eels jun.} and \textit{J. H. Sampson}, Am. J. Math. 86, 109-160 (1964; Zbl 0122.401)]. They proved that for a compact Riemannian manifold \((M,g)\), with nonpositive sectional curvature, a solution \(c_ t\) exists for ...
openaire   +4 more sources

On Geodesic Bifurcations [PDF]

Geometry, Integrability and Quantization, 2017
In this paper we study fundamental equations of geodesics on surfaces of revolution. We obtain examples of existence of geodesic bifurcation.
Ryparová, Lenka, Mikeš, Josef
openaire   +2 more sources

Logarithmic and Strong Coupling Models in Weyl‐Type f(Q,T)$f(Q,T)$ Gravity

Annalen der Physik, EarlyView.
This work explores Weyl‐type f(Q,T) gravity using recent observational datasets — CC, Pantheon+, Union 3.0, and DESI DR2. Through MCMC analysis of logarithmic and strong coupling models, the study reveals a transition from deceleration to acceleration, quintessence‐to‐phantom dynamics, and late‐time consistency with LCDM, offering a geometry‐driven ...
Rahul Bhagat, S. K. Tripathy, B. Mishra
wiley   +1 more source

Sub-semi-Riemannian geometry on $H$-type groups [PDF]

, 2010
We consider $H$(eisenberg)-type groups whose law of left translation gives rise to a bracket generating distribution of step 2. In the contrast with sub-Riemannian studies we furnish the horizontal distribution with a nondegenerate indefinite metric of ...
Korolko, Anna
core  

Geodesics and geodesic deviation for impulsive gravitational waves [PDF]

Journal of Mathematical Physics, 1998
The geometry of impulsive pp-waves is explored via the analysis of the geodesic and geodesic deviation equation using the distributional form of the metric. The geodesic equation involves formally ill-defined products of distributions due to the nonlinearity of the equations and the presence of the Dirac δ-distribution in the space–time metric.
openaire   +5 more sources