Results 41 to 50 of about 22,379 (263)

Projections of Polynomial Vector Fields and the Poincaré Sphere

Journal of Differential Equations, 1997
Let \(p:\mathbb{R}^n\to\mathbb{R}^n\) be a homogeneous polynomial vector function, and let \(\rho:\mathbb{R}^n \to\mathbb{R}\) be a homogeneous polynomial of positive degree \(d\). The authors introduce the projection of \(p\) with respect to \(\rho\) by the formula \[ p^{\rho}(x)=- {\textstyle\frac{1}{d}} L_p(\rho)(x)x+\rho(x)p(x), \] where \(L_p(\rho)
Röhrl, Helmut, Walcher, Sebastian
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A Thermodynamic Model of Antiferroelectics and Its Application to Electric Field Induced Antiferroelectric‐Ferroelectric Transition in PbZrO3

Advanced Functional Materials, EarlyView.
A thermodynamic model that incorporates ferroelectric, antiferroelectric, and antiferrodistortive orders of PbZrO3${\rm PbZrO}_3$ is established and parameterized based on experimental measurements and first‐principles calculations. We derive a Clapeyron‐like equation for describing the temperature‐dependence of critical electric fields for the ...
Zhiyang Wang, Guodong Zhao, Aiden Ross, Long‐Qing Chen   +3 more
wiley   +1 more source

An Exponential Formula for Polynomial Vector Fields

Advances in Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological enumeration of complex polynomial vector fields [PDF]

Ergodic Theory and Dynamical Systems, 2014
AbstractThe enumeration of combinatorial classes of the complex polynomial vector fields in$ \mathbb{C} $presented by K. Dias [Enumerating combinatorial classes of the complex polynomial vector fields in$ \mathbb{C} $.Ergod. Th. & Dynam. Sys. 33(2013), 416–440] is extended here to a closed form enumeration of combinatorial classes for degree$d ...
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Discretization of polynomial vector fields by polarization [PDF]

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015
A novel integration method for quadratic vector fields was introduced by Kahan in 1993. Subsequently, it was shown that Kahan's method preserves a (modified) measure and energy when applied to quadratic Hamiltonian vector fields. Here we generalize Kahan's method to cubic resp.
Celledoni, Elena, McLachlan, Robert I., McLaren, David I., Owren, Brynjulf, Quispel, G. R. W.   +4 more
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Intelligent Orthopedics: Machine Learning in Diagnosis of Bone Disease, Implants, and Bone Health Monitoring

Advanced Healthcare Materials, EarlyView.
Efficient recovery from traumatic or degenerative diseases is a great challenge, even after all the advancements in bone and cartilage regeneration. Machine learning (ML) algorithms have presented opportunities to enhance these aspects by accurately analyzing imaging data.
Maryam Kamaei, Hesam Mohammadi, Shamim Golafshan, Mojtaba Alehosseini, Mahsa Mohammadzadeh, Atefeh Golshirazi, Nasim Golafshan, Tatiane Eufrásio‐da‐Silva, Alireza Dolatshahi‐Pirouz, Gorka Orive   +9 more
wiley   +1 more source

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
doaj   +1 more source

Inhomogeneous Gradient Poiseuille Flows of a Vertically Swirled Fluid [PDF]

Journal of Applied and Computational Mechanics
An exact solution is proposed for describing the steady-state and unsteady gradient Poiseuille shear flow of a viscous incompressible fluid in a horizontal infinite layer.
Natalya Burmasheva, Sergey Ershkov, Evgeniy Prosviryakov, Dmytro Leshchenko   +3 more
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Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Polynomial poly-vector fields

, 2004
In this text we give a decomposition result on polynomial poly-vector fields generalizing a result on the decomposition of homogeneous Poisson structures. We discuss consequences of this decomposition result in particular for low dimensions and low degrees.
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