Results 131 to 140 of about 1,716,432 (375)
On the degree of the polynomial defining a planar algebraic curves of constant width
, 2013 In this paper, we consider a family of closed planar algebraic curves $\mathcal{C}$ which are given in parametrization form via a trigonometric polynomial $p$.
Bardet, Magali, Bayen, Térence
core +1 more source
Journal of Symbolic Computation, 2000 Let \(Q(x,y) = \sum_{i=0}^n a_ix^i y^{n-i}\) be a binary form of degree~\(n\) with real or complex coefficients \(a_i\). Classical invariant theory deals with the invariants of binary forms under the action of SL\(_2\). The article under review takes a different point of view.
Peter J. Olver, Irina Berchenko
openaire +2 more sources
AI‐Assisted Design and Evaluation of SLM‐Ti64 Implants for Enhanced Bone Regeneration
Advanced Healthcare Materials, EarlyView.AI‐driven simulations of biological healing, combining biomechanical modeling and machine learning, enable personalized orthopedic treatments. By decoding healing patterns influenced by implants and patient‐specific factors, this approach advances fracture repair understanding, optimizes implant design, and supports precision medicine and sustainable ...
Muhammad Usama Zaheer +3 more
wiley +1 more source
Proceedings of the American Mathematical Society, 1964 where [x] denotes the greatest integer ,x. Rayleigh functions and polynomials of odd orders are identically zero. The function a2n(v) has been the subject of a number of investigations [3, p. 502]. Properties of 022n(v) have been discussed in a previous paper [ii. The object of the present paper is to discuss properties of the polynomial +2X(v).
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source
On the location of the roots of certain types of polynomials [PDF]
, 1922 J. L. Walsh
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Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights
Advanced Materials, EarlyView.This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He +6 more
wiley +1 more source
Advanced Materials, EarlyView.This study reveals an atomic‐level correlation between bulk dislocations and the exsolution of surface nanoparticles through a novel approach for dislocation engineering in epitaxial thin films. Employing in situ scanning transmission electron microscopy, two primary reasons for the frequent nucleation of dislocation‐associated nanoparticles are ...
Moritz Lukas Weber +8 more
wiley +1 more source