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Science china(Information sciences) 2010年第10期53卷 2047-2061页

作者： GAO QuanQuan 1 & REN TingGe 2 1 academy of Math & Systems, chinese academy of sciences, beijing 100190, china 2 beijing University of chinese Medicine, beijing 100029, china 1. academy of Math & Systems Chinese Academy of Sciences Beijing 100190 China2. Beijing University of Chinese Medicine Beijing 100029 China

It is important to translate dosage of each medical herb in a prescription into intensity of its effects measured by mathematical models. In this paper, we present intelligent calculational algorithms on efficacies of prescriptions of chinese Medicine (CM), study "how curative effects of any herb depend on dosage" when constructing CM intelligent systems, and discuss relevant issues and definitions. In order to measure intensities of effects of all herbs reasonably, the natural classification method is proposed to classify herbs into 38 natural classes according to their dosage ranges using the knowledge of CM dosage and distribution rules of herbs. Then the 38 natural classes are clustered to 6 basic classes reflecting characteristic attributes of various herbs. Based on the results of classified herbs, a set of nonlinear measuring functions of intensities of effects is designed for various basic classes. These functions have been embedded in our intelligent calculation system of efficacies of prescriptions. The effects of 560 herbs and curative efficacies of more than 1000 prescriptions derived from "ShangHan Lun", "JinGui YaoLue", "Ming Jia Yi An", etc., have been calculated and discovered successfully. It is proved that the accuracy of theses results by these models has been obviously enhanced.

关键词： intelligent calculation mathematical modeling measuring method efficacies of prescriptions

MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR-PRODUCT PARTITION DOMAINS

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Journal of Computational Mathematics 2003年第1期21卷 53-62页

作者： Jiachang Sun(Parallel computing Division, Institute of Software, chinese academy of sciences, beijing 100080, china) Parallel computing Division Institute of Software Chinese Academy of Sciences 北京 100080

This paper finds a way to extend the well-known Fourier methods, to so-called n+1 directions partition domains in n-dimension. In particular, in 2-D and 3-D cases, we study Fourier methods over 3-direction parallel hexagon partitions and 4-direction parallel parallelogram dodecahedron partitions, respectively. It has pointed that, the most concepts and results of Fourier methods on tensor-product case, such as periodicity,orthogonality of Fourier basis system, partial sum of Fourier series and its approximation behavior, can be moved on the new non tensor-product partition case.

关键词： Multivariate Fourier methods Non tensor-product partitions Multivariate Fourier series

On the contact width in generalized plain strain JKR model for isotropic solids

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Acta Mechanica Sinica 2009年第4期25卷 491-497页

作者： Cong Yan Shaohua Chen LNM, Institute of Mechanics, chinese academy of sciences,100190 beijing. china LNM Institute of Mechanics Chinese Academy of Sciences 100190 Beijing China

Adhesive contact model between an elastic cylinder and an elastic half space is studied in the present paper, in which an external pulling force is acted on the above cylinder with an arbitrary direction and the contact width is assumed to be asymmetric with respect to the structure. Solutions to the asymmetric model are obtained and the effect of the asymmetric contact width on the whole pulling process is mainly discussed. It is found that the smaller the absolute value of Dundurs＇ parameter 13 or the larger the pulling angle O, the more reasonable the symmetric model would be to approximate the asymmetric one.

关键词： Contact mechanics Generalized JKRmodel Asymmetric contact width Oscillatory solution Non-oscillatory solution

Giant complete automaton for uncertain multiple string matching and its high speed construction algorithm

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Science china(Information sciences) 2011年第8期54卷 1562-1571页

作者： HU Yue 1,2, GAO QingShi 1,2 ,GUO Li 2 & WANG PeiFeng 1 1 School of Information Engineering,University of Science and technology beijing,beijing 100083,china 2 Institute of computing technology,chinese academy of sciences,beijing 100190,china 1. School of Information Engineering University of Science and Technology Beijing Beijing 100083 China2. Institute of Computing Technology Chinese Academy of Sciences Beijing 100190 China

Multiple string matching is often completed under the presence of U- or V-uncertain-strings,or combinations *** large numbers of strings with U-, V-,and U-V-uncertain-strings,including the interleaving of two or more uncertain strings,is important to thoroughly gathering useful information and detecting harmful *** paper proposes a complete automaton and its high-speed construction algorithm for large-scale U-, V-,and U-V-uncertain multiple strings,including two or more uncertain strings interlaced with one *** maximum number of parallel complete automation of the V-uncertain string is also *** paper reveals that there are two kinds of pretermissions,i.e.,similarly-connected and interlaced-string pretermissions,and that mistake may appear in the matching of the regular expressions,or states in the automaton may increase in number,if the intersection of the U-uncertain strings sets and the homologous subsequent special point in the U-uncertain strings sets are not eliminated from the whole system.

关键词： multiple string matching U-uncertain-strings V-uncertain-strings U-V-uncertain-strings complete automaton

On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator

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Science china Mathematics 2012年第8期55卷 1597-1612页

作者： DING YuTao 1,2,& ZHANG LiQun 1,2 1 Institute of Mathematics,academy of Mathematics and Systems Science,chinese academy of sciences,beijing 100190,china 2 Hua Loo-Keng Key Laboratory of Mathematics,chinese academy of sciences,beijing 100190,china 1. Institute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China2. Hua Loo-Keng Key Laboratory of Mathematics Chinese Academy of Sciences Beijing 100190 China

We investigate the ratio of L 1 and L 2 norms of the Cauchy problem solutions of heat equations with compact support initial *** related asymptotic behavior of the eigenvalues and eigenfunctions of certain integral op... 详细信息

关键词： integral operators eigenvalues heat equation

Study on the generator f of the operators I_n and I_t

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Science china Mathematics 2010年第10期53卷 2589-2603页

作者： CHEN HanLin academy of Mathematics and Systems Science,chinese academy of sciences,beijing 100190,china 1. academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

Define two operators In and It,the inner product operator In(g)(x) := j∈Zs(g,f(·-j))f(x-j) and the interpolation operator It(g)(x) := j∈Zs g(j)f(x-j),where f belongs to some space and integer s *** call f the generator of the operators In and *** is well known that there are many results on operators In and *** there remain some important problems to be further *** application we first need to find the available generators (that can recover polynomials as It(p) = p or In(p) = p,p ∈Πm-1) for constructing the relative *** this paper,we focus on the available generator in the class of spline *** shall see that not all spline functions can be used to construct available ***,we do find a spline function in S,of degree m-1,where m is even and S is a class of *** for odd m the problem is still *** on spline functions in this paper are new.

关键词： generator available generator inner product operator spline interpolation operator two-closed refinable

Maximal effective baseline for polarimetric interferometric SAR forest height estimation

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Science china(Information sciences) 2012年第4期55卷 867-876页

作者： ZHOU YongSheng 1,2,3,HONG Wen 1,2,WANG YanPing 1,2 & WU YiRong 1,2 1 National Key Laboratory of Science &technology on Microwave Imaging,beijing 100190,china 2 Institute of Electronics,chinese academy of sciences,beijing 100190,china 3 academy of Opto-Electronics,chinese academy of sciences,beijing 100094,china 1. National Key Laboratory of Science & technology on Microwave Imaging Beijing 100190 China2. Institute of Electronics Chinese Academy of Sciences Beijing 100190 China3. Academy of Opto-Electronics Chinese Academy of Sciences Beijing 100094 China

The concepts of critical baseline and maximal effective baseline have been defined for interferometric SAR (InSAR) DEM application based on the spatial decorrelation (which is a function of baseline).This paper puts forward these two concepts to polarimetric interferometric SAR (Pol-InSAR) forest height estimation *** application makes use of volume decorrelation,which is also a function of *** both the spatial decorrelation and volume decorrelation are considered to determine Pol-InSAR critical and maximal effective *** various decorrelation effects are *** the calculation formula of Pol-InSAR maximal effective baseline are presented and compared to that of *** validation,RVoG-based and PolSARpro-based simulation data and DLR ESAR data are *** concept of Pol-InSAR maximal effective baseline is of practical significance in selection of Pol-InSAR image pairs as well as in the design of further Pol-InSAR systems.

关键词： Pol-InSAR maximal baseline forest height estimation

Euler solution using adaptive Cartesian grid with a gridless boundary treatment

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Acta Mechanica Sinica 2009年第2期25卷 187-196页

作者： L. Xiang G. Yang LHD of Institute of Mechanics, chinese academy of sciences, 100190 beijing, china LHD of Institute of Mechanics Chinese Academy of Sciences 100190 Beijing China

A quadtree-based adaptive Cartesian grid generator and flow solver were developed. The grid adaptation based on pressure or density gradient was performed and a gridless method based on the least-square fashion was used to treat the wall surface boundary condition, which is generally difficult to be handled for the common Cartesian grid. First, to validate the technique of grid adaptation, the benchmarks over a forward-facing step and double Mach reflection were computed. Second, the flows over the NACA 0012 airfoil and a two-element airfoil were calculated to validate the developed gridless method. The computational results indi- cate the developed method is reasonable for complex flows.

关键词： Cartesian grid Gridless method Adaptation technique Euler solution

Onset of cavitation by the strong tension spike from a tube-arrest apparatus

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Science china(Physics,Mechanics & Astronomy) 2010年第2期53卷 301-305页

作者： YING ChongFu & LI Chao Institute of Acoustics,chinese academy of sciences,beijing 100190,china 1. Institute of Acoustics Chinese Academy of Sciences Beijing 100190 China

Our earlier paper has identified a wave of Type 1 that is the pressure wave generated in the liquid-filled glass tube through the tube-arrest method by pulling and arresting the tube,when cavitation is prohibited. If cavitation is produced,a wave of Type 2 generally appears. The present paper takes the transition between wave types as indication of cavitation onset,and looks for a liquid parameter which controls the onset. One such an attempt shows the concentration of a dissolved gas in the liquid is the controlling factor with the result that the threshold of cavitation onset decreases with the increase of the concentration. Then a specially designed experiment reveals that possibly the mobility of the gas molecules (and also that of the liquid molecules) transiently affects the threshold so as to induce a large rise and fall in time of hours. The threshold finally settles down to some stable value under atmospheric pressure.

关键词： tube-arrest method cavitation onset controlling parameter concentration of dissolved gas mobile gas molecules liq-uid tensile strength

Experimental results and analysis of sparse microwave imaging from spaceborne radar raw data

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Science china(Information sciences) 2012年第8期55卷 1801-1815页

作者： JIANG ChengLong1,2,3,ZHANG BingChen1,2,ZHANG Zhe1,2,3,HONG Wen1,2&WU YiRong1,2 1S cience and technology on Microwave Imaging Laboratory,beijing 100190,china 2I nstitute of Electronics,chinese academy of sciences,beijing 100190,china 3G raduate University of chinese academy of sciences,beijing 100190,china 1. Science and technology on Microwave Imaging Laboratory Beijing 100190 China2. Institute of Electronics Chinese Academy of Sciences Beijing 100190 China3. Graduate University of Chinese Academy of Sciences Beijing 100190 China

Sparse microwave imaging is a novel radar framework aiming to bring revolutions to the microwave imaging according to the theory of sparse signal *** compressive sensing(CS)is introduced to synthetic aperture radar(SAR)imaging in recent years,the current SAR sparse imaging methods have shown their advantages over the traditional matched filtering ***,the requirement for these methods to process the compressed range data results in the increase of the hardware *** the SAR sparse imaging method that directly uses the raw data is *** paper describes the method of SAR sparse imaging with raw data directly,presents the analysis of the signal-to-noise ratio(SNR)in the echo signal by combining the traditional radar equation with the compressive sensing theory,and provides the tests on 2-D simulated SAR *** simulation results demonstrate the validity of the SNR analysis,and the good performance of the proposed method while a large percentage of the raw data is *** experiment with RadarSat-1 raw data is also carried out to show the feasibility of processing the real SAR data via the method proposed in this *** method is helpful for designing new SAR systems.

关键词： sparse microwave imaging synthetic aperture radar(SAR)imaging compressive sensing signalto-noise ratio raw data