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Bipolar electrochemistry in confined nanospace

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Science China Chemistry 2018年第4期61卷 379-380页

作者： Dongping zhan State Key Laboratory of physical Chemistry of Solid Surfaces Collaborative Innovation Centre of Chemistry for Energy MaterialsDepartment of ChemistryCollege of Chemistry and Chemical EngineeringXiamen University

Nanopores employ a confined space for electrochemical sensing of high-throughput individual biomolecules in *** most general mechanism of nanopore sensing is based on a volume exclusion effect.

关键词：电气化学双极

Optical frequency synthesizer with an integrated erbium tunable laser

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Light(Science & Applications) 2019年第1期8卷 22-29页

作者： Ming xin Nanxi Li Neetesh Singh Alfonso Ruocco zhan Su Emir Salih Magden Jelena Notaros Diedrik Vermeulen Erich p.Ippen Michael R.Watts Franz x.Kartner Research Laboratory of Electronics Massachusetts Institute of TechnologyCambridgeMA 02139USA John A.paulson School of Engineering and Applied Science Harvard UniversityCambridgeMA 02138USA Center for Free-Electron Laser Science DESY and Hamburg UniversityNotkestraße 8522607 HamburgGermany Institute of Microelectronics Agency for ScienceTechnology and Research(A*STAR)138634 SingaporeSingapore Analog photonics 1 Marina Park DriveBostonMA 02210USA Department of Electrical and Electronics Engineering Koc UniversitySarıyerIstanbul 34450Turkey

Optical frequency synthesizers have widespread applications in optical spectroscopy,frequency metrology,and many other ***,their applicability is currently limited by size,cost,and power *** photonics technology,which is compatible with complementary-metal-oxide-semiconductor fabrication processes,provides a low-cost,compact size,lightweight,and low-power-consumption *** this work,we demonstrate an optical frequency synthesizer using a fully integrated silicon-based tunable *** synthesizer can be self-calibrated by tuning the repetition rate of the internal mode-locked laser.A 20 nm tuning range from 1544 to 1564 nm is achieved with~10−13 frequency instability at 10 s averaging *** flexibility and fast reconfigurability are also demonstrated by fine tuning the synthesizer and generating arbitrary specified patterns over time-frequency *** work promotes the frequency stability of silicon-based integrated tunable lasers and paves the way toward chip-scale lowcost optical frequency synthesizers.

关键词： synthesizer tunable tuning

A New View on Fuzzy Hypermodules

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Acta Mathematica Sinica,English Series 2007年第8期23卷 1345-1356页

作者： Jian Ming zhan Bijan DAVVAZ K. p. SHUM Department of Mathematics Hubei Institute for Nationalities Enshi 445000 P. R. China Department of Mathematics Yazd University Yazd Iran Faculty of Science The Chinese University of Hong Kong Shatin Hong Kong (SAR) P. R. China

We describe the relationship between the fuzzy sets and the algebraic hyperstructures. In fact, this paper is a continuation of the ideas presented by Davvaz in （Fuzzy Sets Syst., 117： 477- 484, 2001） and Bhakat and Das in （Fuzzy Sets Syst., 80： 359-368, 1996）. The concept of the quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of a fuzzy point in fuzzy sets. By using this new idea, the concept of interval-valued （α,β）-fuzzy sub-hypermodules of a hypermodule is defined. This newly defined interval-valued （α,β）-fuzzy sub-hypermodule is a We shall study such fuzzy sub-hypermodules and sub-hypermodules of a hypermodule. generalization of the usual fuzzy sub-hypermodule. consider the implication-based interval-valued fuzzy

关键词： hypermodule interval-valued (α,β)-fuzzy sub-hypermodule interval-valued (∈ ∈ Vq)- fuzzy sub-hypermodule fuzzy logic implication operator

Biomedical applications of the powder-based 3D printed titanium alloys:A review

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Journal of Materials Science & Technology 2022年第30期125卷 252-264页

作者： Amy x.Y.Guo Liangjie Cheng Shuai zhan Shouyang zhang Wei xiong Zihan Wang Gang Wang Shan Cecilia Cao Materials Genome Institute Shanghai UniversityShanghai 200444China

3D printing technology is a new type of precision forming technology and the core technology of the third industrial *** powder-based 3D printing technology of titanium and its alloys have received great attention in biomedical applications since its advantages of custom manufacturing,costsaving,time-saving,and resource-saving *** particular,the personalized customization of 3D printing can meet specific needs and achieve precise control of micro-organization and structural *** purpose of this review is to present the most advanced multi-material 3D printing methods for titanium-based *** first reviewed the bone tissue engineering,the application of titanium alloy as bone substitutes and the development of manufacturing technology,which emphasized the advantages of 3D printing technology over traditional manufacturing *** is more,the optimization design of the hierarchical structure was analyzed to achieve the best mechanical properties,and the biocompatibility and osseointegration ability of the porous titanium alloy after implantation in living bodies was ***,we emphasized the development of digital tools such as artificial intelligence,which provides new ideas for the rational selection of processing *** 3D printing titanium-based alloys will meet the huge market demand in the biomedical field,but there are still many challenges,such as the trade-off between high strength and low modulus,optimization of process parameters and structural *** believe that the combination of mechanical models,machine learning,and metallurgical knowledge may shape the future of metal printing.

关键词： The powder-based 3D printing technology Ti-based alloys Biomedical applications Artificial intelligence

Learning real-time automata

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Science China(Information Sciences) 2021年第9期64卷 57-73页

作者： Jie AN Lingtai WANG Bohua zhan Naijun zhan Miaomiao zhanG School of Software Engineering Tongji University State Key Laboratory of Computer Science Institute of Software Chinese Academy of Sciences University of Chinese Academy of Sciences

Real-time automata(RTAs) are a subclass of timed automata with only one clock which resets at each transition. In this paper, we present an active learning algorithm for deterministic real-time automata(DRTAs) in both continuous-time semantics and discrete-time semantics. For a target language recognized by a DRTA A, we convert the problem of learning DRTA A to the problem of learning a canonical real-time automaton A with the same recognized language, i.e., L(A) = L(A). The algorithm is inspired by existing learning algorithms for symbolic automata.

关键词： automaton learning active learning real-time automata

A pROxIMAL pOINT ALGORITHM FOR A SYSTEM OF GENERALIZED MIxED VARIATIONAL INEQUALITIES

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Journal of Systems Science & Complexity 2012年第5期25卷 964-972页

作者： Bo WAN xuegang zhan Department of Mathematics and Statistics Chongqing Technology and Business University School of Accountancy Chongqing Technology and Business University

This paper introduces and considers a new system of generalized mixed variational inequal- ities in a Hilbert space, which includes many new and known systems of variational inequalities and generalized variational inequalities as special cases. By using the two concepts of η-subdifferential and η-proximal mappings of a proper function, the authors try to demonstrate that the system of generalized mixed variational inequalities is equivalence with a fixed point problem. By applying the equivalence, a new and innovative η-proximal point algorithm for finding approximate solutions of the system of generalized mixed variational inequalities will be suggested and analyzed. The authors also study the convergence analysis of the new iterative method under much weaker conditions. The results can be viewed as a refinement and improvement of the previously known results for variational inequalities.

关键词： Lipschitz continuity proximal point algorithms relaxed (γ τ)-cocoercivity system ofgeneralized mixed variational inequalities.

Initial Boundary Value problem of an Equation from Mathematical Finance

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Chinese Annals of Mathematics,Series B 2016年第3期37卷 465-482页

作者： Huashui zhan School of Applied Mathematics Xiamen University of Technology

Consider the initial boundary value problem of the strong degenerate parabolic equation ?_(xx)u + u?_yu-?_tu = f(x, y, t, u),(x, y, t) ∈ Q_T = Ω×(0, T)with a homogeneous boundary condition. By introducing a new kind of entropy solution, according to Oleinik rules, the partial boundary condition is given to assure the well-posedness of the problem. By the parabolic regularization method, the uniform estimate of the gradient is obtained, and by using Kolmogoroff 's theorem, the solvability of the equation is obtained in BV(Q_T) sense. The stability of the solutions is obtained by Kruzkov's double variables method.

关键词： Mathematical finance Oleinik rules partial boundary condition Entropy solution Kruzkov's double variables method

Harnack Estimates for Weak Solutions to a Singular parabolic Equation

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Chinese Annals of Mathematics,Series B 2011年第3期32卷 397-416页

作者： Huashui zhan School of Sciences Jimei University Xiamen 361021 Fujian China

By an interpolation method,an intrinsic Harnack estimate and some supestimates are established for nonnegative solutions to a general singular parabolic equation.

关键词： Harnack estimate Interpolation method Nonnegative solution Singular parabolic equation

Solution to Nonlinear parabolic Equations Related to p-Laplacian

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Chinese Annals of Mathematics,Series B 2012年第5期33卷 767-782页

作者： Huashui zhan School of Sciences Jimei University Xiamen 361021 Fujian China. E-mail: hszhan@***

Consider the following Cauchy problem：where 1 〈 p 〈 2, 1 〈 m 〈 p_~11, and # is a a-finite measure in N. By the Moser＇s iteration method, the existence of the weak solution is obtained, provided that （M＋1）N 〈 p. In mN＋l contrast, if 〉 p, there is no solution to the Cauchy problem with an initial value δ（x）, where 5（x） is the classical Dirac function.

关键词： Nonlinear parabolic equation Cauchy problem Existence a-Finite measure