Results 41 to 50 of about 12,485 (261)

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
openaire   +2 more sources

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

Renormalization of vector fields with mass-like coupling in curved spacetime

European Physical Journal C: Particles and Fields, 2019
Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum abelian vector field with a non-derivative coupling to an external tensor field in curved ...
C. Garcia-Recio, L. L. Salcedo
doaj   +1 more source

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

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.
openaire   +3 more sources

Universal centers in the cubic trigonometric Abel equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné, Maite Grau, Xavier Santallusia   +2 more
doaj   +1 more source

Stable Planar Polynomial Vector Fields

Revista Matemática Iberoamericana, 1985
Let \(\chi_ n\) be the vector space of polynomial vector fields in \(R^ 2\) with coefficients of degree \(\leq n\). Every \(X\in \chi_ n\) transported to the upper hemisphere \(S^ 2_+\) by the central projection and normalized suitably extends to an analytic vector field \({\mathcal P}(X)\) on \(S^ 2\).
openaire   +3 more sources

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

A dual active set algorithm for optimal sparse convex regression

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
The shape-constrained problems in statistics have attracted much attention in recent decades. One of them is the task of finding the best fitting monotone regression. The problem of constructing monotone regression (also called isotonic regression) is to
Aleksandr Aleksandrovich Gudkov, Sergei Vladimirovich Mironov, Sergei Petrovich Sidorov, Sergey Viktorovich Tyshkevich   +3 more
doaj   +3 more sources

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

Advanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano, Fabián Calleja, Ji Dai, Massimo Tallarida, Vera Marinova, Alessandro Barla, Marc G. Cuxart, Pierluigi Gargiani, Gonzalo N. Molina, José Angel Silva‐Guillén, Adriana I. Figueroa, Kevin García‐Díez, Sergio O. Valenzuela, Aitor Mugarza, Amadeo L. Vázquez de Parga, Rodolfo Miranda, Francisco Guinea, Manuela Garnica, Miguel A. Valbuena   +18 more
wiley   +1 more source