Results 71 to 80 of about 225,326 (278)
Strongly Convex Functions, Moreau Envelopes, and the Generic Nature of Convex Functions with Strong Minimizers [PDF]
SIAM Journal on Optimization, 2016 In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions. Under this metric, the convergence of each sequence of convex functions is epi-convergence. We show that the set of strongly convex functions is dense but it is only of the first category.
Planiden, Chayne, Wang, Xianfu
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Advanced Functional Materials, EarlyView.Permanent magnets derive their extraordinary strength from deep, universal electronic‐structure principles that control magnetization, anisotropy, and intrinsic performance. This work uncovers those governing rules, examines modern modeling and AI‐driven discovery methods, identifies critical bottlenecks, and reveals electronic fingerprints shared ...
Prashant Singh
wiley +1 more source
Strong m-Convexity of Set-Valued Functions
Annales Mathematicae Silesianae, 2023 In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also ...
Lara Teodoro +3 more
doaj +1 more source
\(h\)-strongly \(E\)-convex functions
Journal of Numerical Analysis and Approximation Theory, 2011 Starting from strongly \(E\)-convex functions introduced by E. A. Youness, and T. Emam, from \(h\)-convex functionsintroduced by S. Varošanec and from the more general conceptof \(h\)-convex functions introduced by A. Házy we define and study \(h\)-strongly \(E\)-convex functions. We study some properties of them.
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Advanced Functional Materials, EarlyView.The use of continuous drop‐based force and energy probing methods is introduced to evaluate in situ chemical degradation of super liquid‐repellent surfaces by caustic liquids. By tracking the velocity of rolling drops and energy dissipation of impacting drops, degradation dynamics are resolved under high spatio‐temporal precision. Using this technique,
Parham Koochak +2 more
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Advanced Functional Materials, EarlyView.Nanoscale‐grooved indium gallium oxide (IGO) semiconductors, patterned via thermal nanoimprint lithography (NIL) using CD/DVD templates, are integrated into electrolyte‐gated transistor biosensors to overcome Debye length limitations. Precisely engineered concave–convex nanostructures modulate local electrostatic potentials, extend the effective Debye ...
Jong Yu Song +5 more
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Coefficient Inequalities for Strongly Close-to-Convex Functions
Journal of Mathematical Analysis and Applications, 1997 Let \(f(z)=z+a_2 z^2+a_3 z^3+ \cdots\) be a normalized, strongly close-to-convex function of order \(\alpha\) on the unit disk. This means that there exist a normalized convex univalent function \(\varphi\) and a real number \(\beta\) such that \(|\arg {f'(z) \over e^{i\beta} \varphi'(z)} |
Ma, William, Minda, David
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On geodesic semi strongly E-convex functions [PDF]
Journal of Interdisciplinary Mathematics, 2016 In this article, a new class of function called geodesic semi strongly E-convex functions and generalized geodesic semi strongly E-convex functions are introduced. Also, some of their properties are obtained.
Kilicman, Adem, Saleh, Wedad
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Fixed-time Distributed Optimization under Time-Varying Communication Topology
, 2020 This paper presents a method to solve distributed optimization problem within a fixed time over a time-varying communication topology. Each agent in the network can access its private objective function, while exchange of local information is permitted ...
Baranwal, Mayank +3 more
core
Advanced Functional Materials, EarlyView.Liquid‐phase transmission electron microscopy enables direct observation of nucleation and growth processes in solution. This review is dedicated to the remembrance of Helmut Cölfen and highlights recent studies on complex materials—oxides, biominerals, organic–inorganic crystals—which were central to his research activity. It summarizes key milestones,
Charles Sidhoum +5 more
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