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Singularity detection of the rabbit electrocardiogram:An evolutionary spectral method

Progress in Natural science:Materials International 2009年第10期19卷 1317-1326页

作者： Xinyuan Liua,Dingwu He a,Liuqing Pei b,Suming Zhanga a School of Electronics Engineering and Computer science,Peking university,Beijing 100871,china b college of information science and Engineering,Beijing normal university,Beijing 100875,china School of Electronics Engineering and Computer science Peking University Beijing 100871 China college of information science and Engineering Beijing Normal University Beijing 100875 China

The time-frequency characteristics of the spectral density of non-stationary signals(NSS) in the neighborhood of an instant time point can be determined using the evolutionary spectral *** experimental rabbit model involving ligation of the left anterior descending coronary artery to simulate the physiology of early phase myocardial ischemia(EPMI) has been previously ***,EPMI derived from left coronary artery stenosis is the main symptom of coronary heart diseases including acute myocardial ***,we propose a new algorithm for estimating the evolutionary spectral density functions,which is an effective approach to determine the instantaneous frequency spectra(IFS) of NSS under the uncertainty principle in the time-frequency *** localization singularity information in the data recorded from a living system could be detected by means of the ***(ECG) data recorded from experimental rabbits were analyzed with the new *** showed that the Q’s value of the evolutionary spectral quality number of the QRS-complex data was the characteristic parameter of ECG,and there was a matched connection between the time-frequency characteristics of QRS-complex data and the myocardial ischemia symptoms of the *** results provide valuable information regarding features of the EPMI for use in clinical diagnoses.

关键词： Non-stationary signals Electrocardiogram(ECG) Evolutionary spectrum Instantaneous frequency spectrum(IFS) Myocardial ischemia

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On The Adjacent Vertex-Distinguishing Edge Coloring of Km·Cn*

On The Adjacent Vertex-Distinguishing Edge Coloring of Km·C...

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中国运筹学会第七届学术交流会

作者： Ma Shengquan Li Jingwen Zhang Zhongfu Department of Mathematic, northwest Minorities university,lanzhou 730030,P.R.china college of mathematics and information science, northwest normal university, lanzhou 730070,P.R.china Department of computer, lanzhou normal college, lanzhou 730070, P.R.china Institute of Applied Mathematic,lanzhou Jiaotong university, lanzhou 730070, P.R.china college of information and Electrical Engineering, lanzhou JiaoTong university, lanzhou Gansu,730070, P.R. china

K·C is called a join Graph, if V(K·C) ={v|i=1, 2,…,m;j=1, 2,…, n}, E(K·C) ={vv, vv,…,vi(n-1))v, vv|i=1, 2,…,m}∪{vv(i+l)1)|i = 1, 2,…, m - 1}. In this paper, we obtained the adjacent vertex-distinguishing edge... 详细信息

关键词： Graph adjacent vertex-distinguishing edge coloring adjacent vertex-distinguishing edge chromatic number

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A novel key pre-distribution scheme for wireless distributed sensor networks

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science china(information sciences) 2010年第2期53卷 288-298页

作者： PEI DingYi 1 , DONG JunWu 1 & RONG ChunMing 2 1 college of mathematics and information science, Guangzhou university, Guangzhou 510006, china 2 university of Stavanger, N-4036, Stavanger, Norway college of mathematics and information science Guangzhou University Guangzhou China university of Stavanger Stavanger Norway

A novel key pre-distribution scheme for sensor networks is proposed, which enables sensor nodes to communicate securely with each other using cryptographic techniques. The approach uses the rational normal curves in the projective space with the dimension n over the finite field F q . Both secure connectivity and resilience of the resulting sensor networks are analyzed. By choosing the parameters q and n properly, this key pre-distribution scheme has some advantages over the previous known schemes. In addition, if the number of the rational normal curves in the scheme becomes too large for an application, the size may be reduced by choosing a part of the curves randomly. This reduction has, shown by our experiments, only minimal impact on secure connectivity and resilience of the resulting sensor network.

关键词： sensor network key pre-distribution scheme combinatorial design rational normal curve projective space finite field

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A relative local variational principle for topological pressure

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science china mathematics 2010年第6期53卷 1491-1506页

作者： MA XianFeng1,CHEN ErCai2,3,& ZHANG AiHua2,4 1Department of mathematics,East china university of science and Technology,Shanghai 200237,china 2School of mathematics and Computer science,Nanjing normal university,Nanjing 210097,china 3Center of Nonlinear science,Nanjing university,Nanjing 210093,china 4college of mathematics and Physics,Nanjing university of Posts and Telecommunications,Nanjing 210046,china Department of mathematics East China University of Science and Technology Shanghai China School of mathematics and Computer science Nanjing Normal University Nanjing China Center of Nonlinear science Nanjing University Nanjing China college of mathematics and Physics Nanjing University of Posts and Telecommunications Nanjing China

We define the relative local topological pressure for any given factor map and open cover,and prove the relative local variational principle of this *** precisely,for a given factor map π:(X,T)→(Y,S) between two topological dynamical systems,an open cover U of X,a continuous,real-valued function f on X and an S-invariant measure ν on Y,we show that the corresponding relative local pressure P(T,f,U,y) satisfies sup μ∈M(X,T){ hμ(T,U|Y)+∫X f(x)dμ(x) :πμ=ν}=∫Y P(T,f,U,y)dν(y),where M(X,T) denotes the family of all T-invariant measures on ***,the supremum can be attained by a T-invariant measure.

关键词： pressure conditional entropy relative local variational principle

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Multipliers on Dirichlet Type Spaces

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Acta Mathematica Sinica,English Series 2001年第2期17卷 263-272页

作者： Peng Yan HU Department of mathematics. normal college of Shenzhen university. Shenzhen. Guangdong 518060. P. R. china Ji Huai SHI Department of mathematics. university of science and Technology of china. Hefei. Anhui 230026, P. R. china Department of mathematics Normal College of Shenzhen University Shenzhen Guangdong 518060 P. R. China Department of mathematics University of Science and Technology of China Hefei Anhui 230026 P. R. China

In this paper, we characterize the pointwise multiplier space M(D_τ, D_μ) of Dirichlet type spaces in the unit ball of C^n for the values of τ, μ in three cases: (i)τn. and construct two functions to show that M... 详细信息

关键词： Dirichlet space Pointwise multiplier Holomorphic function

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THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES

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Journal of Systems science & Complexity 2005年第4期18卷 511-521页

作者： WEI Li (School of mathematics and Statistics, Hebei university of Economics and Business, Shijiazhuang 050061, china Institute of Applied mathematics and Mechanics, Ordnance Engineering college, Shijiazhuang 050003, china. ZHOU Haiyun (Institute of Applied mathematics and Mechanics, Ordnance Engineering college, Shijiazhuang 050003, china Institute of mathematics and information science, Hebei normal university, Shijiazhuang 050016, china. School of mathematics and Statistics Hebei University of Economics and Business 河北 Shijiazhuang 050061

By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we study the abstract results on the existence of a solution u ∈ L^s （Ω） of nonlinear boundary value problems involving the p-Laplacian operator, where 2≤ s〈＋∞, and 2N/N＋1 〈 p ≤ 2 for N（≥ 1） which denotes the dimension of R^N. To obtain the result, some new techniques are used in this paper. The equation discussed in this paper and our methods here are extension and complement to the corresponding results of L. Wei and Z. He.

关键词： Maximal monotone operator accretive mapping hemi-continuous mapping p-Laplacian operator nonlinear boundary value problem.

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Entropy number and non-linear approximations on multivariate Besov space by manifolds of finite pseudo-dimension

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Progress in Natural science:Materials International 2006年第3期16卷 260-265页

作者： LONG Jingfan and FANG Gensun (School of Mathematical sciences, Beijing normal university, Beijing 100875, china Department of Computer science, information Technology Institute, Beijing 100101, china) School of Mathematical sciences Beijing Normal University Beijing 100875 China Department of Computer science Information Technology Institute Beijing 100101 China

We determine the asymptotic order of entropy number and optimal non -linear approximations of anisotropic periodic Besov class of Bpθr(Td') (1≤p≤∞,1≤0≤∞) by manifolds of finite pseudo-dimension in the metric Lq... 详细信息

关键词： Pseudo-dimension anisotropic Besov class of functions entropy number nonlinear width.

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模糊有界变差函数全变差的积分表示与距离导数

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数学学报（中文版） 2011年第4期54卷 633-642页

作者：巩增泰白玉娟西北师范大学数学与信息科学学院兰州730070

定义和讨论了模糊数值函数的距离导数,给出了模糊有界变差函数全变差的积分表示.发现模糊绝对连续函数是几乎处处距离可导的,距离导数的积分等于其原函数的总变差,从而给出了模糊有界变差函数全变差的积分表示.

关键词：模糊数模糊数值函数距离导数

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A CLASS OF NONLINEAR SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION

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Applied mathematics(A Journal of Chinese Universities) 2007年第2期22卷 201-206页

作者： Mo Jiaqi Department of mathematics, Anhui normal university, Wuhu 241000, china Department of mathematics, Huzhou Teachers college, Huzhou 313000, china Division of Computational science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, china. Department of mathematics Anhui Normal University Wuhu China Department of mathematics Huzhou Teachers College Huzhou China Division of Computational science E-Institutes of Shanghai Universities at SJTU Shanghai China

A class of nonlinear initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities the asymptoti... 详细信息

关键词： nonlinear reaction diffusion singular perturbation boundary perturbation

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Two new Jurassic stoneflies (Insecta: Plecoptera) from Daohugou, Inner Mongolia, china

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Progress in Natural science:Materials International 2008年第8期18卷 1039-1042页

作者： Yushuang Liu, Dong Ren * college of Life science, Capital normal university, 105 Xisanhuanbeilu, Haidian District, Beijing 100037, china college of Life science Capital Normal University 105 Xisanhuanbeilu Haidian District Beijing 100037 China

Two new genera and two new species of family Taeniopterygidae, Mengitaenioptera multiramis gen. et sp. nov. and Noviramonemoura trinervis gen. et sp. nov. are described. These fossils were collected from Daohugou Village (the Middle Jurassic), Inner Mongolia, china. Hitherto, these fossil species from Daohugou are the oldest taeniopterygids. Both simple and complex venations simultaneously occurred in this group, which reveals that the early diversification of taeniopterids was well underway by the Middle Jurassic. Therefore, we prefer to adopt the Comstock’s opinion that the venation of taeniopterids was derived from the simple venation of the older group (such as Palaeonemouridae) at much ancient geological time ago. Some of the descendants carried this simple venation; others evolved into complex venation with many additional crossveins and branches.

关键词： Plecoptera Taeniopterygidae Daohugou Inner Mongolia Middle Jurassic

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