Results 61 to 70 of about 4,474 (273)
Implicatively Precomplete Sets of Multioperations Defined on a Set of Three Elements
Известия Иркутского государственного университета: Серия "Математика"We study the completeness criterion on the set of rank-3 multioperations with respect to the implicative closure operator. The problem is a special case of the problem of finite classification of multioperations defined on an arbitrary set. A description
V.I. Panteleev
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Norm attaining operators of finite rank
, 2019 25 pages, minor modifications, to appear in the special volume "The mathematical legacy of Victor Lomonosov", to be published by De ...
Kadets, Vladimir +3 more
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On singular values of hankel operators of finite rank
Linear Algebra and its Applications, 1989 AbstractLet H be a Hankel operator defined by its symbol ϱ=π/χ, where χ is a monic polynomial of degree n and π is a polynomial of degree less than n. Then H has rank n. We derive a generalized Takagi singular value problem defined by two n x n matrices, such that its n generalized Takagi singular values are the positive singular values of H.
Lother Reichel, William B. Gragg
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Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
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Vertex operator algebras, Higgs branches, and modular differential equations
Journal of High Energy Physics, 2018 Every four-dimensional N=2 $$ \mathcal{N}=2 $$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra.
Christopher Beem, Leonardo Rastelli
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Low‐Activation Compositionally Complex Alloys for Advanced Nuclear Applications—A Review
Advanced Engineering Materials, EarlyView.Low‐activation compositionally complex alloys (LACCAs) are advanced metallic materials primarily composed of low‐activation elements, offering advantages such as rapid compliance with operational standards and safe recyclability. This review highlights their potential for extreme high‐temperature irradiation environments as structural materials for ...
Yangfan Wang +8 more
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Semiclassics, Goldstone bosons and CFT data
Journal of High Energy Physics, 2017 Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge.
A. Monin +3 more
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Advanced Engineering Materials, EarlyView.This study explores aerosol jet‐printed (AJP) surface roughness, its effects on the performance of microwave electronics, and its process contributors. First, an electromagnetic model is vetted for AJP's unique roughness signature. Simulations are built which show process‐induced roughness is as significant as conductor resistivity in driving microwave
Christopher Areias, Alkim Akyurtlu
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Advanced Engineering Materials, EarlyView.Controlling the size and distribution of dispersoids is essential for optimizing the performance of oxide‐dispersion‐strengthened steels. This study focuses on nanoparticle dispersion and agglomeration during laser additive manufacturing of Fe20Cr alloy reinforced with ZrO 2 nanoparticles. Utilizing multiphysics phase‐field simulations and nanoparticle
Somnath Bharech +6 more
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Advanced Engineering Materials, EarlyView.Multilayering of TiN film with metallic Ti film is adopted to enhance the fracture resistance of TiN thin films. Plastic dissipation within Ti with process zone size of ≈250 nm, along with elastic–plastic mismatch driven changes to crack driving force enhances the crack growth resistance by ten times, enabling physics informed design of optimized ...
Nidhin George Mathews +5 more
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