Results 51 to 60 of about 544,812 (281)

Gaussian and Mean Curvature of Subdivision Surfaces [PDF]

, 2000
By explicitly deriving the curvature of subdivision surfaces in the extraordinary points, we give an alternative, more direct account of the criteria necessary and sufficient for achieving curvature continuity than earlier approaches that locally parametrize the surface by eigenfunctions.
Peters, Jorg, Umlauf, Georg
openaire   +2 more sources

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias, Federica Avantaggiato, Gianni Pezzoli, Andrea Canessa   +3 more
wiley   +1 more source

Totally real surfaces in CP2 with parallel mean curvature vector

International Journal of Mathematics and Mathematical Sciences, 1992
It has been shown that a totally real surface in CP2 with parallel mean curvature vector and constant Gaussian curvature is either flat or totally geodesic.
M. A. Al-Gwaiz, Sharief Deshmukh
doaj   +1 more source

Rotational Hypersurfaces in S3(r)R Product Space

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
We consider rotational hypersurfaces in S3(r) R product space of five dimensional Euclidean space E5. We calculate the mean curvature and the Gaussian curvature, and give some results.
Erhan Güler, Ömer Kişi
doaj   +1 more source

Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay, Merve Alaylioglu, Erdi Sahin, Sanem Sultan Yoruk Oner, Gulce Iskan, Gulce Cosku Yilmaz Cakan, Gozde Kizilates‐Evin, Emre Hari, Elif Kurt, Erdinc Dursun, Basar Bilgic, Hasmet Hanagasi, Hakan Gurvit, Tamer Demiralp, Duygu Gezen‐Ak, Bedia Samanci   +15 more
wiley   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Prescribing Gaussian curvature on S2

Acta Mathematica, 1987
On the standard two sphere S 2 the Gaussian curvature after a conformal change ds \(2=e^{2u}ds\) \(2_ 0\) is determined by the following equation: \[ (1.1)\quad \Delta u+Ke^{2u}=1\quad on\quad S^ 2 \] where \(\Delta\) denotes the Laplacian relative to the standard metric. The question raised by L.
Chang, Sun-yung Alice, Yang, Paul C.
openaire   +2 more sources

On the curvatures of Gaussian random field manifolds

CoRR, 2021
Information geometry is concerned with the application of differential geometry concepts in the study of the parametric spaces of statistical models. When the random variables are independent and identically distributed, the underlying parametric space exhibit constant curvature, which makes the geometry hyperbolic (negative) or spherical (positive ...
openaire   +3 more sources

A Simplified Laminar Flow Model for the Pultrusion of Glass Fiber/Polyethylene Terephthalate Commingled Yarns

Advanced Engineering Materials, EarlyView.
A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares, Nadège Bouchonneau, Christian Jochum, Donald Radford   +3 more
wiley   +1 more source

Correlations and screening of topological charges in Gaussian random fields [PDF]

, 2003
Two-point topological charge correlation functions of several types of geometric singularity in Gaussian random fields are calculated explicitly, using a general scheme: zeros of n-dimensional random vectors, signed by the sign of their Jacobian ...
Dennis, MR, Dennis, M.R., Dennis, M R; id_orcid   +2 more
core   +1 more source