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The multifractal spectrum of some Moran measures

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Science China Mathematics 2005年第8期48卷 1097-1112页

作者： wu min School of Mathematical Sciences South China University of Technology Guangzhou 510640 China

The multifractal formalism is shown to hold for a class of Moran measures supported on the Moran fractals associated with the sequences of which the frequency of the letter exists.

关键词： multifractal spectrum, Moran fractal, Hausdorff dimension, Packing dimension.

Integral inference method for da/dN-ΔK and P-da/dN-ΔK curves

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航空动力学报 2011年第6期26卷 1251-1256页

作者： FU Hui-min wu Qiong Research Center of Small Sample Technology Beijing University o~ Aeronautics and Astronautics Beijing 100191 China

The integral inference method for fatigue crack growth(FCG) curve was established based on the two-variance regression *** estimates of da/dN-ΔK curve and P-da/dN-ΔK curve with high confidence level and high survival probability were also *** data scatter with stress intensity factor ranges in reality,which limits the group test method's *** presented method analyzes FCG curve as an integration,thus it can exploit the lengthwise information among the FCG rates corresponding to different stress intensity factor ***,compared with group test method,the presented method can not only save specimens,but also have higher precision in the evaluations of da/dN-ΔK and P-da/dN-ΔK curves.

关键词： aero-engine fatigue crack growth(FCG) crack growth rate integral estimate reliability

Generator,multiquadric generator,quasi-interpolation and multiquadric quasi-interpolation

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Applied Mathematics(A Journal of Chinese Universities) 2011年第4期26卷 390-400页

作者： wu Zong-min MA Li-min Shanghai Key Laboratory for Contemporary Applied Mathematics. School of Mathematical Sciences Fudan University Shanghai 200433 China.

The aim of this survey paper is to propose a new concept ＂generator＂. In fact, generator is a single function that can generate the basis as well as the whole function space. It is a more fundamental concept than basis. Various properties of generator are also discussed. Moreover, a special generator named multiquadric function is introduced. Based on the multiquadric generator, the multiquadric quasi-interpolation scheme is constructed, and furthermore, the properties of this kind of quasi-interpolation are discussed to show its better capacity and stability in approximating the high order derivatives.

关键词： Generator function representation approximation numerical differentiation multiquadric quasi-interpolation

Fossicking for microbial defense system:novel antiviral immunity

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Signal Transduction and Targeted Therapy 2020年第1期5卷 193-195页

作者： Ping Lin Qun wu min wu Department of Biomedical Sciences School of Medicine and Health SciencesUniversity of North DakotaGrand ForksND 58203USA Wound Trauma Medical Center State Key Laboratory of TraumaBurns and Combined InjuryDaping HospitalArmy Medical UniversityChongqing 400042China Department of Pediatrics Ruijin Hospital affiliated to Shanghai Jiao Tong University School of Medicine ShanghaiShanghaiChina

A recent paper in Science by Gao et *** a comprehensive comparative genomics approach to identify new antiviral systems in prokaryotes for combating invading phages.1 These defense systems manifest a variety of host defense mechanisms by utilizing enzymatic activities including reverse transcriptases,adenosine deaminases of RNA editing,and retroms(Fig.1).Some of these antiviral systems not only enrich our understanding the phage-bacterial interaction but also represent a versatile,powerful tool for biomedical research and biotechnological applications.

关键词： immunity utilizing versatile

Mobilities and leachabilities of heavy metals in sludge with humus soil

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Journal of Environmental Sciences 2011年第2期23卷 247-254页

作者： Rui Zhu min wu Jian Yang State Key Laboratory of Pollution Control and Resources Reuse Tongji University Shanghai 200092 China.

Chemical forms of Zn, Ni, Cu, and Pb in municipal sewage sludge were investigated by adding humus soil to sludge and by performing sequential extraction procedures. In the final sludge mixtures, Zn and Ni were mainly found in Fe/Mn oxide-bound （F3） and organic matter/sulfide-bound （F4） forms. For Zn, exchangeable （F1）, carbonate-bound （F2）, and F3 forms were transformed to F4 and residual forms （F5）. For Ni, F1 and F2 forms were transformed to F1, F2, and F3 forms. Both Cu and Pb were strongly associated with the stable forms F4 and F5. For Cu, F2 and F3 forms were major contributors, while for Pb, F3 and F4 forms were major contributors to F5. Humus soil dosage and pH conditions in the sludge were strongly correlated with the forms of heavy metals. Five forms were used to evaluate metal mobilities in the initial and final sludge mixtures. The mobilities of the four heavy metals studied decreased after 28 days. The metal mobilities in the final sludge mixtures were ranked in the following order： Ni 〉 Zn 〉 Cu = Pb. Leaching tests showed that the mobilities of Zn and Ni in lower pH conditions （pH 4） were higher than those in higher pH conditions （pH 8）.

关键词： sludge heavy metal humus soil mobility leachability

Statistical inference for dependence competing risks model under middle censoring

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Journal of Systems Engineering and Electronics 2019年第1期30卷 209-222页

作者： WANG Yan SHI Yimin wu min Department of Applied Mathematics Northwestern Polytechnical University School of Science Xi'an Polytechnic University School of Economics & Management Shanghai Maritime University

Middle censoring is an important censoring scheme,in which the actual failure data of an observation becomes unobservable if it falls into a random interval. This paper considers the statistical analysis of the dependent competing risks model by using the Marshall-Olkin bivariate Weibull(MOBW) *** maximum likelihood estimations(MLEs), midpoint approximation(MPA) estimations and approximate confidence intervals(ACIs) of the unknown parameters are obtained. In addition, the Bayes approach is also considered based on the Gamma-Dirichlet prior of the scale parameters, with the given shape *** acceptance-rejection sampling method is used to obtain the Bayes estimations and construct credible intervals(CIs). Finally,two numerical examples are used to show the performance of the proposed methods.

关键词： middle censoring dependent competing risks model Marshall-Olkin bivariate Weibull (MOBW) distribution acceptancerejection sampling.

E-Bayesian estimation for competing risk model under progressively hybrid censoring

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Journal of Systems Engineering and Electronics 2016年第4期27卷 936-944页

作者： min wu Yimin Shi Yan Wang Department of Applied Mathematics Northwestern Polytechnical University

This paper considers the Bayesian and expected Bayesian（E-Bayesian） estimations of the parameter and reliability function for competing risk model from Gompertz distribution under Type-I progressively hybrid censoring scheme（PHCS）. The estimations are obtained based on Gamma conjugate prior for the parameter under squared error（SE） and Linex loss functions. The simulation results are provided for the comparison purpose and one data set is analyzed.

关键词： Bayesian estimation expected Bayesian(E-Bayesian) estimation Gompertz distribution Type-I progressively hybrid censoring

Distributed event region fault-tolerance based on weighted distance for wireless sensor networks

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Journal of Systems Engineering and Electronics 2009年第6期20卷 1351-1360页

作者： Li Ping Li Hong wu min School of Information Science and Engineering Central South Univ. Changsha 410083 P. R. China

Event region detection is the important application for wireless sensor networks（WSNs）, where the existing faulty sensors would lead to drastic deterioration of network quality of *** single-moment nodes fault-tolerance, a novel distributed fault-tolerant detection algorithm named distributed fault-tolerance based on weighted distance（DFWD） is proposed, which exploits the spatial correlation among sensor nodes and their redundant *** sensor networks, neighborhood sensor nodes will be endowed with different relative weights respectively according to the distances between them and the central *** syncretized the weighted information of dual-neighborhood nodes appropriately, it is reasonable to decide the ultimate status of the central sensor ***, readings of faulty sensors would be corrected during this *** results demonstrate that the DFWD has a higher fault detection accuracy compared with other algorithms, and when the sensor fault probability is 10%, the DFWD can still correct more than 91% faulty sensor nodes, which significantly improves the performance of the whole sensor network.

关键词： event region detection weighted distance distributed fault-tolerance wireless sensor network.

A PAIRING-BASED PUBLICLY VERIFIABLE SECRET SHARING SCHEME

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Journal of Systems Science & Complexity 2011年第1期24卷 186-194页

作者： Tsu-Yang wu Yuh-min TSENG Department of Mathematics National Changhua University of Education Jin-De Campus Chang-Hua 500 Taiwan

A publicly verifiable secret sharing （PVSS） scheme is a verifiable secret sharing scheme with the special property that anyone is able to verify the shares whether they are correctly distributed by a dealer. PVSS plays an important role in many applications such as electronic voting, payment systems with revocable anonymity, and key escrow. Up to now, all PVSS schemes are based on the traditional public-key systems. Recently, the pairing-based cryptography has received much attention from cryp- tographic researchers. Many pairing-based schemes and protocols have been proposed. However, no PVSS scheme using bilinear pairings is proposed. This paper presents the first pairing-based PVSS scheme. In the random oracle model and under the bilinear Diffie-HeUman assumption, the authors prove that the proposed scheme is a secure PVSS scheme.

关键词： Bilinear pairing cryptography random oracle model secret sharing.