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A specific family of cyclotomic polynomials of order three

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Science china Mathematics 2010年第9期53卷 2269-2274页

作者： JI ChunGang school of mathematical sciences,nanjing normal university,nanjing 210097,china school of mathematical sciences Nanjing Normal University Nanjing China

Let A(n) be the largest absolute value of any coefficient of n-th cyclotomic polynomial Φn(x).We say Φn(x) is flat if A(n) = *** this paper,for odd primes p < q < r and 2r ≡±1(mod pq),we prove that Φpqr(x) is fla... 详细信息

关键词： cyclotomic polynomial flat cyclotomic polynomial ternary cyclotomic polynomial

On consensus protocols for high-order multiagent systems

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控制理论与应用（英文版） 2010年第4期8卷 406-412页

作者： Jing KUANG,Jiandong ZHU (school of mathematical sciences,nanjing normal university,nanjing Jiangsu 210097,china) school of mathematical sciences Nanjing Normal University Nanjing Jiangsu China

In this paper,the static consensus problem and the dynamic consensus problem are considered for a class of high-order multiagent *** the proposed consensus protocols,necessary and sufficient conditions for the consensus problems are *** the static consensus protocol,the desired consensus speed can be achieved by adjusting feedback *** show the effectiveness of the proposed consensus protocols.

关键词： Consensus Multiagent systems Graph theory

Engineering g-C_(3)N_(4)based materials for advanced photocatalysis:Recent advances

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Green Energy & Environment 2024年第2期9卷 166-197页

作者： Xin-Lian Song Lei chen Li-Jiao gao Jin-Tao Ren Zhong-yong Yuan National Institute for Advanced Materials School of Materials Science and EngineeringSmart Sensing Interdisciplinary Science CenterNankai UniversityTianjin300350China Key Laboratory of Advanced Energy Materials Chemistry(Ministry of Education) Nankai UniversityTianjin300071China

Photocatalysis driven by abundant yet intermittent solar energy has considerable potential in renewable energy generation and environmental *** outstanding electronic structure and physicochemical properties of graphitic carbon nitride(g-C_(3)N_(4)),together with unique metal-free characteristic,make them ideal candidates for advanced photocatalysts *** review summarizes the up-to-date advances on g-C_(3)N_(4)based photocatalysts from ingenious-design strategies and diversified photocatalytic ***,the advantages,fabrication methods and limitations of each design strategy are systemically *** order to deeply comprehend the inner connection of theory–structure–performance upon g-C_(3)N_(4)based photocatalysts,structure/composition designs,corresponding photocatalytic activities and reaction mechanisms are jointly discussed,associated with introducing their photocatalytic applications toward water splitting,carbon dioxide/nitrogen reduction and pollutants degradation,***,the current challenges and future perspectives for g-C_(3)N_(4)based materials for photocatalysis are briefly *** design strategies and limitations are also instructive for constructing g-C_(3)N_(4) based materials in other energy and environment-related applications.

关键词： Graphitic carbon nitride g-C_(3)N_(4) Design strategies Photocatalysis Photocatalysts Reaction mechanism

Modal identification of system driven by lévy random excitation based on continuous time AR model

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Science china(Technological sciences) 2009年第12期52卷 3649-3653页

作者： DU XiuLi 1,2 &WANG FengQuan 1 1 College of Civil Engineering,Southeast university,nanjing 210096,china 2 school of mathematical sciences,nanjing normal university,nanjing 210097,china College of Civil Engineering Southeast University Nanjing China school of mathematical sciences Nanjing Normal University Nanjing China

Based on the continuous time AR model,this paper presents a new time-domain modal identification method of LTI system driven by the uniformly modulated lévy random *** structural dynamic equation is first transformed into the observation equation and the state equation(namely,stochastic differential equation).Based on the property of the strong solution of the stochastic differential equation,the uniformly modulated function is identified *** by virtue of the Girsanov theorem,we present the exact maximum likelihood estimators of ***,the modal parameters are identified by eigen *** results show that the method not only has high precision and robustness but also has very high computing efficiency.

关键词： modal identification uniformly modulated function CAR model lévy process exact maximum likelihood estimator

AN EQUIVALENCY CONDITION OF NONSINGULARITY IN NONLINEAR SEMIDEFINITE PROGRAMMING

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Journal of Systems Science & Complexity 2010年第4期23卷 822-829页

作者： chengjin LI Wenyu SUN Raimundo J. B. de SAMPAIO school of mathematical sciences Nanjing Normal and Computer Science Fujian Normal University Wenyu SUN University Nanjing 210046 China school of Mathematics Fuzhou 350007 China school of mathematical sciences Nanjing Normal University Nanjing 210046 China Pontifical Catholic university of Parana ( PUCPR) Graduate Program in Production and Systems Engineering (PPGEPS) CEP 81611-970 Curitiba Parana Brazil

In this paper,an equivalency condition of nonsingularity in nonlinear semidefinite programming,which can be viewed as a generalization of the equivalency condition of nonsingularity for linearsemidefinite programming,... 详细信息

关键词： Equivalency condition of nonsingularity nonlinear semidefinite programming semidefinite programming.

Characterizations of α-Bloch functions on the unit ball without use of derivative

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Science china Mathematics 2008年第11期51卷 1965-1981页

作者： chen HuaiHui school of Mathematics and Computer Science, nanjing normal university, nanjing 210097, china school of Mathematics and Computer Science Nanjing Normal University Nanjing China

In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao.

关键词： α-Bloch function unit ball Bergman metric 32A18 32A37

A compact route for efficient production of high-purityβ-Ga_(2)O_(3) powder

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Rare Metals 2024年第9期43卷 4573-4584页

作者： Xiao-Wei Zhou gao-Jie chen Liang Xu Zhi-Jun Shao cheng Yang yong-Pan Tian Zhuo Zhao school of Metallurgical Engineering Anhui University of TechnologyMa'anshan 243032China Low-Carbon Research Institute Anhui University of TechnologyMa'anshan 243032China

The present study has proposed a compact process for the production of high-purityβ-Ga_(2)O_(3)powder by simply using gallium metal and water as the raw *** process basically consists of two essential steps including hydrothermal synthesis of Ga OOH and calcination of Ga OOH for the production of the target product ofβ-Ga_(2)O_(3).Thermodynamic evaluation and systematic experiments were conducted for process parameter optimization.X-ray diffractometer(XRD),scanning electron microscopy(SEM),thermogravimetryDdifferential scanning calorimetry(TG-DSC)and X-ray photoelectron spectroscopy(XPS)were utilized to clarify the reaction mechanisms of the hydrothermal synthesis and transformation of Ga OOH toβ-Ga_(2)O_(3)by *** analysis of the final product ofβ-Ga_(2)O_(3)obtained under the optimal conditions was carried out with inductively coupled plasma mass spectrometry(ICP-MS),and the results showed that the contents of the representative impurities such as Ni,Cu,In,Mn,Co,Zn and Cr are obviously lower than the requirement of 5Nβ-Ga_(2)O_(3)standard,exhibiting excellent application prospect of the proposed process to produce high-purityβ-Ga_(2)O_(3).

关键词： β-Ga_(2)O_(3) Hydrothermal synthesis Calcination Purity Reaction mechanism

Gelatin-Based Metamaterial Hydrogel Films with High Conformality for Ultra-Soft Tissue Monitoring

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Nano-Micro Letters 2024年第2期16卷 347-364页

作者： Yuewei chen Yanyan Zhou Zihe Hu Weiying Lu Zhuang Li Ning gao Nian Liu Yuanrong Li Jing He Qing gao Zhijian Xie Jiachun Li yong He State Key Laboratory of Fluid Power and Mechatronic Systems School of Mechanical EngineeringZhejiang UniversityHangzhou 310027People’s Republic of China school of Mechanical Engineering Guizhou UniversityGuiyang 550025People’s Republic of China Stomatology Hospital School of StomatologyZhejiang University School of MedicineClinical Research Center for Oral Diseases of Zhejiang ProvinceKey Laboratory of Oral Biomedical Research of Zhejiang ProvinceCancer Center of Zhejiang UniversityHangzhou 310006People’s Republic of China

Implantable hydrogel-based bioelectronics(IHB)can precisely monitor human health and diagnose ***,achieving biodegradability,biocompatibility,and high conformality with soft tissues poses significant challenges for *** is the most suitable candidate for IHB since it is a collagen hydrolysate and a substantial part of the extracellular matrix found naturally in most *** study used 3D printing ultrafine fiber networks with metamaterial design to embed into ultra-low elastic modulus hydrogel to create a novel gelatin-based conductive film(GCF)with mechanical *** regulation of GCF nearly covers soft tissue mechanics,an elastic modulus from 20 to 420 kPa,and a Poisson’s ratio from-0.25 to *** negative Poisson’s ratio promotes conformality with soft tissues to improve the efficiency of biological *** GCF can monitor heartbeat signals and respiratory rate by determining cardiac deformation due to its high ***,the gelatin characteristics of the biodegradable GCF enable the sensor to monitor and support tissue *** GCF metamaterial design offers a unique idea for bioelectronics to develop implantable sensors that integrate monitoring and tissue repair and a customized method for endowing implanted sensors to be highly conformal with soft tissues.

关键词： Implantable hydrogel-based bioelectronics Conformality 3D printing Metamaterial design

Neural networks-based iterative learning control consensus for periodically time-varying multi-agent systems

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Science china(Technological sciences) 2024年第2期67卷 464-474页

作者： chen JiaXi LI JunMin chen WeiSheng gao WeiFeng school of Mathematics and Statistics Xidian UniversityXi'an 710071China school of Aerospace Science and Technology Xidian UniversityXi'an 710071China

In this paper,the problem of adaptive iterative learning based consensus control for periodically time-varying multi-agent systems is studied,in which the dynamics of each follower are driven by nonlinearly parameterized terms with periodic *** networks and Fourier base expansions are introduced to describe the periodically time-varying dynamic *** this basis,an adaptive learning parameter with a positively convergent series term is constructed,and a distributed control protocol based on local signals between agents is designed to ensure accurate consensus of the closed-loop ***,consensus algorithm is generalized to solve the formation control ***,simulation experiments are implemented through MATLAB to demonstrate the effectiveness of the method used.

关键词： multi-agent systems adaptive iterative learning control nonlinearly parameterized dynamics Fourier series expansion neural networks