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Weighted moments for a supercritical branching process in a varying or random environment

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Science china mathematics 2011年第7期54卷 1437-1444页

作者： li YingQiu1,2, HU Yangli1,2 & liU QuanSheng1,3, 1College of mathematics and Computing Sciences, changsha university of Science and Technology, changsha 410004, china 2College of mathematics and Computer Sciences, hunan normal university, changsha 410081, china 3LMAM, university of Bretgne-Sud, BP573, 56017 Vannes, France 1. College of mathematics and Computing Sciences Changsha University of Science and Technology Changsha 410004 China2. College of Mathematics and Computer Sciences Hunan Normal University Changsha 410081 China3. LMAM University of Bretgne-Sud BP573 56017 Vannes France

Let W be the limit of the normalized population size of a supercritical branching process in a varying or random environment. By an elementary method, we find sufficient conditions under which W has finite weighted mo... 详细信息

关键词： branching process varying environment random environment moment martingale

Bifurcations of travelling wave solutions for two generalized Boussinesq systems

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Science china mathematics 2008年第9期51卷 1577-1592页

作者： li JiBin1,2 1 department of mathematics, Zhejiang normal university, Jinhua 321004, china 2 department of mathematics, Kunming university of Science and Technology, Kunming 650093, china department of mathematics Zhejiang Normal University Jinhua 321004 China department of mathematics Kunming University of Science and Technology Kunming 650093 China

Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.

关键词： nonlinear wave bifurcation solitary wave exact explicit solution generalized Boussinesq system 34C37 34C23 74J30 58Z05

Flexible capacitive pressure sensor based on interdigital electrodes with porous microneedle arrays for physiological signal monitoring

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Nanotechnology and Precision Engineering 2024年第1期7卷 18-31页

作者： Jiahui Xu Minghao Wang minyi Jin Siyan Shang Chuner Ni Yili Hu Xun Sun Jun Xu Bowen Ji Le li Yuhua Cheng Gaofeng Wang School of Electronics&Information MOE Engineering Research Center of Smart Microsensors and MicrosystemsHangzhou Dianzi UniversityHangzhou 310018China Wenzhou Institute of Hangzhou Dianzi university Wenzhou 310018China Key Laboratory of Intelligent Operation and Maintenance Technology&Equipment for Urban Rail Transit of Zhejiang Province College of EngineeringInstitute of Precision Machinery and Smart StructureZhejiang Normal UniversityJinhua 321004China Institute of Guizhou Aerospace Measuring and Testing Technology Guiyang 550009China Unmanned System Research Institute Northwestern Polytechnical UniversityXi’an 710072China Research&Development Institute of Northwestern Polytechnical university in Shenzhen Shenzhen 518057China

Flexible pressure sensors have many potential applications in the monitoring of physiological signals because of their good biocompatibil-ity and ***,their relatively low sensitivity,linearity,and stability have hindered their large-scale commercial ***,aﬂexible capacitive pressure sensor based on an interdigital electrode structure with two porous microneedle arrays(MNAs)is *** porous substrate that constitutes the MNA is a mixed product of polydimethylsiloxane and *** to its porous and interdigital structure,the maximum sensitivity(0.07 kPa-1)of a porous MNA-based pressure sensor was found to be seven times higher than that of an imporous MNA pressure sensor,and it was much greater than that of aﬂat pressure sensor without a porous MNA ***-element analysis showed that the interdigital MNA structure can greatly increase the strain and improve the sensitivity of the *** addition,the porous MNA-based pressure sensor was found to have good stability over 1500 loading cycles as a result of its bilayer parylene-enhanced conductive electrode *** importantly,it was found that the sensor could accurately monitor the motion of aﬁnger,wrist joint,arm,face,abdomen,eye,and Adam’s ***,preliminary semantic recognition was achieved by monitoring the movement of the Adam’s ***,multiple pressure sensors were integrated into a 33 array to detect a spatial pressure distribu-×*** to the sensors reported in previous works,the interdigital electrode structure presented in this work improves sensitivity and stability by modifying the electrode layer rather than the dielectric layer.

关键词： Capacitive pressure sensor Microneedle array Porous PDMS Interdigital electrode

Differential operators and automorphism schemes

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Science china mathematics 2010年第9期53卷 2363-2380页

作者： li KeZheng department of mathematics,Capital normal university,Beijing 100048,china 1. department of mathematics Capital Normal University Beijing 100048 China

The ring of global differential operators of a variety is in closed and deep relation with its automorphism *** relation can be applied to the study of homogeneous schemes,giving some criteria of homogeneity,a general... 详细信息

关键词： differential operator deformative automorphism automorphism scheme homogeneous scheme abelian variety

Early and Sensitive Detection of Pathogens for Public Health and Biosafety:An Example of Surveillance and Genotyping of SARS-CoV-2 in Sewage Water by Cas12a-Facilitated Portable Plasmonic Biosensor

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Research 2024年第2期2023卷 259-272页

作者： Tianzhong li Yuzhi Chen Zhi Chen Yuan Hao minyi liang Yingxia liu Guanyong Ou Huanian Zhang Yuxuan Tang Yabing Hao Swelm Wageh Omar AAl-Hartomy Abul Kalam Bin Zhang Xin Shi Xuejin li Han Zhang College of Physics and Optoelectronic Engineering Institute of Translational MedicineDepartment of OtolaryngologyShenzhen Second People's HospitalFirst Affiliated Hospital of Shenzhen UniversityHealth Science CenterShenzhen UniversityShenzhen 518060China Shenzhen Key Laboratory of Sensor Technology Shenzhen 518060China The Sixth Affiliated Hospital of Guangzhou Medical university Qingyuan People's HospitalQingyuan 511518China Shenzhen Key Laboratory of Pathogen and Immunity National Clinical Research Center for Infectious DiseaseState Key Discipline of Infectious DiseaseShenzhen Third People's HospitalSecond Hospital Affiliated to Southern University of Science and TechnologyShenzhen 518112China School of Medicine Southern University of Science and TechnologyShenzhen 518055China School of Physics and Optoelectronic Engineering Shandong University of TechnologyZibo 255049China department of Physics Faculty of ScienceKing Abdulaziz University Jeddah 21589Saudi Arabia Research Center for Advanced Materials Science(RCAMS) King Khalid UniversityP.0.Box 9004Abha 61413Saudi Arabia department of Chemistry College of ScienceKing Khalid UniversityP.0.Box9004Abha 61413 Saudi Arabia Health Sciences Institute China Medical UniversityShenyang 110000China The Chinese university of Hong Kong Shenzhen 518060China

Infectious diseases severely threaten public health and global *** addition to transmission through the air,pathogenic microorganisms have also been detected in environmental liquid samples,such as sewage *** biochemical detection methodologies are time-consuming and cost-ineffective,and their detection limits hinder early *** the present study,ultrafine plasmonic fiber probes with a diameter of 125μm are fabricated for clustered regularly interspaced short palindromic repeats/CRISPR-associated protein(CRISPR/Cas)-12a-mediated sensing of severe acute respiratory syndrome coronavirus 2(SARS-CoV-2).Single-stranded DNA exposed on the fiber surface is trans-cleaved by the Cas12a enzyme to release gold nanoparticles that are immobilized onto the fiber surface,causing a sharp reduction in the surface plasmon resonance(SPR)*** proposed fiber probe is virus-specific with the limit of detection of~2,300 copies/ml,and genomic copy numbers can be reflected as shifts in wavelengths.A total of 21 sewage water samples have been examined,and the data obtained are consistent with those of quantitative polymerase chain reaction(qPCR).In addition,the Omicron variant and its mutation sites have been fast detected using S gene-specific *** study provides an accurate and convenient approach for the real-time surveillance of microbial contamination in sewage water.

关键词： fiber consuming hinder

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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Science china mathematics 2012年第4期55卷 851-868页

作者： li Jun 1,& HUANG NanJing 2 1 College of mathematics and Information,china West normal university,Nanchong 637009,china 2 department of mathematics,Sichuan university,Chengdu 610064,china 1. College of mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

linear estimation and distribution of the limit cycles bifurcated from a kind of degenerate polycycles

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Science china mathematics 2007年第3期50卷 334-344页

作者： li-qin ZHAO department of mathematics, Beijing normal university, Beijing 100875, china department of mathematics Beijing Normal University Beijing 100875 China

In this paper, we investigate the number and the distribution of the limit cycles bifurcated from a kind of degenerate planar polycycles through three singular points: a saddle-node P 0, a fine saddle P 1 with finite order m ∈ N, a contractive (attracting) saddle P 2 with the hyperbolicity ratio q 2(0) ? Q. The connection between P 0 and P 1 is of hh-type and the connection between P 0 and P 2 is of hp-type. It is assumed that the connections between P 0 to P 2 and P 0 to P 1 keep unbroken. We obtain that the cyclicity of this polycycle is not more than 3m + 1, which is linearly dependent on the order of the resonant saddle P 1. We also show that the cyclicity is not more than m + 3 if q 2(0) > m, and that the nearer q 2(0) is close to 1, the more the limit cycles are bifurcated.

关键词： degenerate polycycle cyclicity finitely-smooth normal form transition map 34C05 34C23 58F14

A New Type of High Frequency Vibrational Modes for Diatomic Chain with Quartic Substrate Nonlinearity

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原子与分子物理学报 1998年第3期 141-145页

作者： department of Physics and Institute for Nonlinear science, hunan normal university, changsha hunan 410081Hu Xiangyuedepartment of Physics, changsha Railway university, changsha hunan 410075 li LequnShaoyang College of education,Shaoyang

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ＡＮｅｗＴｙｐｅｏｆＨｉｇｈＦｒｅｑｕｅｎｃｙＶｉｂｒａｔｉｏｎａｌＭｏｄｅｓｆｏｒＤｉａｔｏｍｉｃＣｈａｉｎｗｉｔｈＱｕａｒｔｉｃＳｕｂｓｔｒａｔｅＮｏｎｌｉｎｅａｒｉｔｙＺｈｏｕＧｕａｎｇｈｕｉＤｅｐａｒｔｍｅｎｔｏｆＰｈｙｓｉｃｓａｎｄＩｎｓ...

关键词： Diatomic chain Phase plane analysis Nonlinear vibrational modes

Optimized nitrogen application for maximizing yield and minimizing nitrogen loss in film mulching spring maize production on the Loess Plateau,china

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Journal of Integrative Agriculture 2024年第5期23卷 1671-1684页

作者： Qilong Song Jie Zhang Fangfang Zhang Yufang Shen Shanchao yue Shiqing li State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau College of Natural Resources and EnvironmentNorthwestA&FUniversityYangling712100China life Science department Luoyang Normal UniversityLuoyang 471934China

Excessive use of N fertilizers(driven by high-yield goals)and its consequent environmental problems are becoming increasingly acute in agricultural systems.A 2-year field experiment was conducted to investigate the effects of three N application methods(application of solid granular urea once(OF)or twice(TF),application of solid granular urea mixed with controlled-release urea once(MF),and six N rates(0,60,120,180,240,and 300 kg N ha^(-1))on maize yield,economic benefits,N use efficiency,and soil N balance in the maize(Zea mays L.)film mulching system on the Loess Plateau,*** grain yield and economic return of maize were significantly affected by the N rate and application *** with the OF treatment,the MF treatment not only increased the maize yield(increased by 9.0-16.7%)but also improved the economic return(increased by 10.9-25.8%).The agronomic N use efficiency(NAE),N partial factor productivity(NPFP)and recovery N efficiency(NRE)were significantly improved by 19.3-66.7,9.0-16.7 and 40.2-71.5%,respectively,compared with the OF *** economic optimal N rate(EONR)of the OF,TF,and MF was 145.6,147.2,and 144.9 kg ha^(-1) in 2019,and 206.4,186.4,and 146.0 kg ha^(-1) in 2020,*** apparent soil N loss at EONR of the OF,TF,and MF were 97.1-100.5,78.5-79.3,and 50.5-68.1 kg ha^(-1),*** results support MF as a one-time N application method for delivering high yields and economic benefits,with low N input requirements within film mulching spring maize system on the Loess Plateau.

关键词： maize yield N management economic optimal N rate Loess Plateau