Results 111 to 120 of about 11,287,559 (375)

On the Subdifferentiability of Convex Functions [PDF]

Proceedings of the American Mathematical Society, 1965
(Thus the subgradients of f correspond to the nonvertical supporting hyperplanes to the convex set consisting of all the points of E (DR lying above the graph of f.) The set of subgradients of f at x is denoted by of(x). If of(x) is not empty, f is said to be subdifferenticable at x.
Brøndsted, Arne, Rockafellar, R. T.
openaire   +1 more source

Atomically Revealing Bulk Point Defect Dynamics in Hydrogen‐Driven γ‐Fe2O3 → Fe3O4 → FeO Transformation

Advanced Functional Materials, EarlyView.
In situ TEM uncovers the atomic‐scale mechanisms underlying hydrogen‐driven γ‐Fe2O3→Fe3O4→FeO reduction. In γ‐Fe2O3, oxygen vacancies cluster around intrinsic Fe vacancies, leading to nanopore formation, whereas in Fe3O4, vacancy aggregation is suppressed, preserving a dense structure.
Yupeng Wu, Dongxiang Wu, Wenhui Zhu, Xiaobo Chen, Zhikang Zhou, Zhilu Liang, Shuonan Ye, Meng Li, Xiao Tong, Kim Kisslinger, Sooyeon Hwang, Dmitri Zakharov, Renu Sharma, Judith C. Yang, Guangwen Zhou   +14 more
wiley   +1 more source

Some result for Hadamard-type inequalities in quantum calculus

Le Matematiche, 2014
In this paper, we establish a q-analogue of Hermite-Hadamard inequalities for some convex type functions.
Kamel Brahim, Sabrina Taf, Latifa Rihahi
doaj  

Laser‐Induced Microfabrication of Carbon Nanostructure: Processing Mechanism and Application for Next‐Generation Battery Technology

Advanced Functional Materials, EarlyView.
The article reviews laser‐processed carbons from various precursors, processing mechanism and their application in advanced batteries. The laser process is chemical free, fast, and scalable, enabling improved battery performance and stability for Li, Na, and Zn battery technologies.
Sujit Deshmukh, Shaista Nouseen, Martin Pumera   +2 more
wiley   +1 more source

Colloidal Crack Sintering Lithography for Light‐Induced Patterning of Particle Assemblies

Advanced Functional Materials, EarlyView.
Colloidal crack sintering lithography (CCSL) is a microfabrication technique that uses light‐induced photothermal heating to trigger sintering and controlled cracking in polymer colloidal assemblies. Local structural changes generate microchannels and patterns, enabling direct writing of diverse topographic motifs.
Marius Schoettle, Ariane V. Mader, Willem L. Noorduin   +2 more
wiley   +1 more source

Spatiotemporal Plasma–Mediated Laser Fabrication of Ultrahigh‐Aspect‐Ratio Nanochannel Arrays for Vertical Perovskite Nanowire Semiconductor Devices

Advanced Functional Materials, EarlyView.
A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang, Lingfeng Wang, Feng Liu, Gary J. Cheng   +3 more
wiley   +1 more source

Examining the behavior of parametric convex operators on a certain set of analytical functions

MethodsX
Mathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
doaj   +1 more source

On inequalities of Hermite-Hadamard type via $ n $-polynomial exponential type $ s $-convex functions

, 2022
Muhammad Samraiz, Kanwal Saeed, Saima Naheed, Gauhar Rahman, Kamsing Nonlaopon   +4 more
openalex   +1 more source

On the definition of a close-to-convex function

, 1978
The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. Goodman, E. Saff
semanticscholar   +1 more source

Membrane Wrapping for High Capacity and Rapidly Switchable Adhesives

Advanced Functional Materials, EarlyView.
A membrane‐wrapping mechanism enables high‐capacity, rapidly switchable adhesion by coupling suction, friction, and adhesion. Broadband performance is achieved in dry and underwater conditions, allowing fast, reversible manipulation of objects of diverse sizes and shapes, from delicate eggs and berries to flat, complex, or heavy objects. These outcomes
Yeunhee Kim, Camryn A. Mills, Michael D. Bartlett   +2 more
wiley   +1 more source