Results 121 to 130 of about 14,865,566 (335)
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We obtain the Kirillov vector fields on the set of functions $f$ univalent inside the unit disk, in terms of the Faber polynomials of $1/f(1/z)$. Our construction relies on the generating function for Faber polynomials.
Helene Airault
doaj +1 more source
Zeroes of holomorphic vector fields and Grothendieck duality theory (and applications to the holomorphic fixed-point formula of Atiyah and Bott) [PDF]
The holomorphic fixed-point formula of Atiyah and Bott is discussed in terms of Grothendieck's theory of duality for algebraic varieties. The treatment is valid for an endomorphism of a compact complex-analytic manifold with arbitrary isolated fixed ...
O'Brian, Nigel Robert
core
Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
A Survey on Metallic Vector Fields [PDF]
Mathematics Interdisciplinary ResearchThis document introduces the idea of metallic vector fields in the framework of semi-Riemannian manifolds. Then, we study the geometry of such vector fields on closed and compact manifolds. The existence of metallic fields on immersed submanifolds
Sahar Pour Farrokh +2 more
doaj +1 more source
Pascal's Formulas and Vector Fields
The Electronic Journal of CombinatoricsWe consider four examples $T=(T(n,k))_{0\le k\le n}$ of combinatorial triangles (Pascal, Stirling of both types, Euler) : through saddle-point asymptotics, their Pascal's formulas define four vector fields, together with their field lines that turn out to be the conjectured limit of sample paths of four well known Markov chains.
Philippe Chassaing +2 more
openaire +2 more sources
Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park +5 more
wiley +1 more source
Parabolic equations relative to vector fields
Electronic Journal of Differential Equations, 2008 We define two notions of viscosity solutions to parabolic equations defined using vector fields, depending on whether the test functions concern only the past or both the past and the future. Using the parabolic maximum principle for vector fields, we
Thomas Bieske
doaj
Journal of Pure and Applied Algebra, 2013 7 pages, minor changes, final version, to appear in Communications in Pure and Applied ...
openaire +3 more sources
Systemic Extracerebral Atherosclerotic Burden and Dementia Risk After Incident Stroke
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Stroke survivors are at increased risk of dementia, but clinically accessible markers of risk heterogeneity remain limited. Previous studies have largely examined atherosclerotic disease in individual vascular beds rather than the overall burden of systemic extracerebral atherosclerosis.
Zhexuan Yu +4 more
wiley +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source