Results 61 to 70 of about 11,086,842 (321)
Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]
, 2013 We construct a Lipschitz function on $\er^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L.
Pokorny, Dusan
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, 2018 This paper considers a conceptual version of a convex optimization algorithm whic is based on replacing a convex optimization problem with the root-finding problem for the approximate sub-differential mapping which is solved by repeated projection onto ...
Nurminski, Evgeni
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Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime
Advanced Functional Materials, EarlyView.A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong +2 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Zinc‐air batteries demonstrate great potential for sustainable energy storage but face major anode‐related challenges. This review provides a mechanism‐driven overview of zinc anode interfacial issues, e.g. dendrite formation, passivation, self‐corrosion, and hydrogen evolution; and explores advances in electrode, surface, and electrolyte engineering ...
Hong Zhao +2 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Walnut seeds are enclosed in a remarkably strong shell made of sclerenchyma, separated by a pectin‐rich suture tissue. Different cell shapes and chemical composition of this tissue point to an opening mechanism, which is triggered by cyclic humidity changes.
Sebastian J. Antreich +3 more
wiley +1 more source
Approximation of Convex Functions
Real Analysis Exchange, 2004 It is known [\textit{M. Ghomi}, Proc. Am. Math. Soc. 130, No.~8, 2255--2259 (2002; Zbl 0999.26008)] that every convex function on an open interval \(I\) can be uniformly approximated by convex \(C^\infty\)-functions on every compact subinterval \([a,b]\) of \(I\). Ghomi's approach requires the knowledge of Lebesgue integral and convolutions. The aim of
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Enzyme‐Regulated Extended Swelling of Hydrogels for Dehiscence‐Less Tissue Expansions
Advanced Functional Materials, EarlyView.An interpenetrating hydrogel network with swelling under regulation by enzymatic degradation (INSURED) is fabricated to avoid dehiscence. INSURED remains structurally intact post‐implantation, while HYAL injection enables control over the onset and rate of swelling.
Byung Ik Park +10 more
wiley +1 more source
A Note on Shapleys Convex Measure Games [PDF]
L. S. Shapley, in his paper Cores of Convex Games, introduces Convex Measure Games, those that are induced by a convex function on R, acting over a measure on the coalitions.
Carlos Rafels Pallarola +1 more
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Convex combinations, barycenters and convex functions [PDF]
Journal of Inequalities and Applications, 2013 The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters.
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Stochastically Generated Digital Twins of 3D Solid‐State Electrolyte Architecture
Advanced Functional Materials, EarlyView.Digital Twins of random porous tape‐cast solid‐state battery architectures across µm to mm feature sizes from FIB‐SEM to X‐Ray µCT, respectively. Abstract Solid‐state lithium batteries (SSBs) have the potential to overcome conventional Li‐ion batteries in performance and safety.
Jonathan O'Neill +3 more
wiley +1 more source