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Complete Closedness of Maximal Monotone Operators [PDF]

Mathematics of Operations Research, 1983
(This paper is dedicated to the memory of Professor Kwan Chao-Chin, former academic member and director of the Institute of System Science of the Academy of Chinese Sciences.) A maximal monotone operator in Rn is completely closed, i.e., not only closed for points, but also closed for directions. Such a completely closed operator is locally bounded at
openaire   +2 more sources

Understanding and Optimizing Li Substitution in P2‐Type Sodium Layered Oxides for Sodium‐Ion Batteries

Advanced Functional Materials, EarlyView.
This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous 
Mingfeng Xu, Giovanni Gammaitoni, Michael Häfner, Eduardo Villalobos‐Portillo, Carlo Marini, Matteo Bianchini   +5 more
wiley   +1 more source

Monotonicity and inequalities for the gamma function

Journal of Inequalities and Applications, 2017
In this paper, by using the monotonicity rule for the ratio of two Laplace transforms, we prove that the function x ↦ 1 24 x ( ln Γ ( x + 1 / 2 ) − x ln x + x − ln 2 π ) + 1 − 120 7 x 2 $$ x\mapsto \frac{1}{24x ( \ln \Gamma ( x+1/2 ) -x\ln x+x- \ln \sqrt{
Zhen-Hang Yang, Jing-Feng Tian
doaj   +1 more source

Ab Initio Study on 3D Anisotropic Ferroelectric Switching Mechanism and Coercive Field in HfO2 and ZrO2

Advanced Functional Materials, EarlyView.
This study uncovers a new switching mechanism in HfO2 and ZrO2, where the absence of a non‐polar layer along the a‐direction induces interaction between polar layers. Consequently, the switching barriers for growth are lower than those for nucleation in this direction, leading to a size‐dependent coercive field that matches experimental observations ...
Kun Hee Ye, Taeyoung Jeong, Seungjae Yoon, Dohyun Kim, Yunjae Kim, Cheol Seong Hwang, Jung‐Hae Choi   +6 more
wiley   +1 more source

Enhancing CoFe Catalysts with V2CTX MXene‐Derived Materials for Anion Exchange Membrane Electrolyzers

Advanced Functional Materials, EarlyView.
MXene dervied CoFe composites show increased initial Oxygen Evolution Reaction (OER) activity compared to the pure CoFe and MXene in an Anion Exchange Membrane device. Vanadium vacancies in the MXene plays a role in increased OER activity and hinders Fe leaching in the AEM device over using the pure V2C MXene as a support material for the CoFe ...
Can Kaplan, Karuppasamy Dharmaraj, Thorsten Schultz, Leiqiang Qin, Ningjun Chen, Danielle A. Douglas‐Henry, Bastian Schmiedecke, Merve Buldu‐Akturk, Axel Zuber, Iris Dorbandt, Maximilian Reinhardt, Yael Rodriguez‐Ayllon, Yan Lu, Valeria Nicolosi, Norbert Koch, Johanna Rosen, Michelle P. Browne   +16 more
wiley   +1 more source

Completely Monotonic and Related Functions

Journal of Mathematical Analysis and Applications, 1996
Let \(L^N\) denote the class of functions defined by \[ f\in L^N\Leftrightarrow (-1)^k f^{(k)}(t)\geq 0,\quad \forall t>0,\quad \forall k,\quad 0\leq k\leq N. \] For \(N\to \infty\) we write \(f\in L\); such functions are well known as completely monotonic on \((0,\infty)\). The implication \[ f\in L^N\Rightarrow [\forall \alpha> 1: f^\alpha\in L^N] \]
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Non Thermal‐Driven Photocatalytic Ammonia Decomposition at Near‐Room Temperature on a Plasmonic Nanocone Array

Advanced Functional Materials, EarlyView.
Plasmonic photocatalytic ammonia decomposition occurs at near‐room temperature on a plasmonic Au nanocone array under visible light illumination. The nanostructure efficiently harnesses plasmonic modes, leading to increased reaction rates upon plasmon decay.
Thanh‐Lam Bui, S. M. Hossein Hejazi, Jan Navrátil, Hana Kmentová, Petr Bábor, Olivier Henrotte, Luca Mascaretti, Matteo Bisetto, Stephen K. Sanders, Andrea Schirato, Michal Otyepka, Piotr Błoński, Tiziano Montini, Radek Zboril, Paolo Fornasiero, Alessandro Alabastri, Alberto Naldoni, Stepan Kment   +17 more
wiley   +1 more source

Note on Completely Monotone Densities

The Annals of Mathematical Statistics, 1969
In [2] it is proved that mixtures of exponential distributions are infinitely divisible (id). In [3] it is proved that the same holds for the discrete analogue, i.e. for mixtures of geometric distributions. In this note we show that these results imply that a density function $f(x)$ (or distribution $\{p_n\}$ on the integers) is id if the function $f(x)
openaire   +4 more sources

Single‐Step Synthesis of In‐plane 1T'‐2H Heterophase MoTe2 for Low‐Resistance Contacts

Advanced Functional Materials, EarlyView.
A single‐step CVD method is developed to synthesize seamless in‐plane 1T'‐2H MoTe2 heterophase junctions with precise phase control and uniform large‐area coverage. The resulting transistors, incorporating 1T' MoTe2 contacts and 2H MoTe2 channels, exhibit ultralow contact resistance, offering a scalable solution to the long‐standing challenge of ...
Ye Lin, Hanwool Lee, Junzhe Kang, Zhiyu Wang, Richard T. Haasch, Stasiu T. Chyczewski, Zetai Liu, Huai‐Chung Chuang, Jun‐Fei Zheng, Wenjuan Zhu   +9 more
wiley   +1 more source

Ionic Control of Microstructure and Lubrication in Charged, Physically Cross‐Linked Hydrogels

Advanced Functional Materials, EarlyView.
Here, charged, physically cross‐linked poly(methacrylamide‐co‐methacrylic acid) hydrogels stabilized by a short‐range attractive, long‐range repulsive potential is investigated. This work uncovers how salt addition alters not only swelling, but also the microstructure and dynamics, near‐surface stiffness and charge, and ultimately, its lubricity. Salts
Alexander Deptula, Rosa M. Espinosa‐Marzal   +1 more
wiley   +1 more source