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Accuracy of Multivariable Refinable Functions and Two-Scale Similarity Transform

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Acta Mathematica Sinica,English Series 2000年第2期16卷 271-276页

作者： Qiuhui Sheng Silong Peng institute of Mathematics,academy of Mathematics and systems sciences,chinese academy of sciences,beijing 100080,P.R.china institute of Mathematics Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100080 P. R. China

In this paper,we prove that if two multiresolutions satisfy a relation,then they have the same accuracy in the multivariate FSI case.

关键词： Accuracy Symbol function Two-scale similarity transform

Electrochemical properties and interfacial reactions of LiNi0.5Mn1.5O4-δ nanorods

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Progress in Natural science:Materials International 2012年第3期22卷 207-212页

作者： Liping Wang, Hong Li, Xuejie Huang institute of Physics, chinese academy of sciences, beijing 100190, china institute of Physics Chinese Academy of Sciences Beijing 100190 China

LiNi0.5Mn1.5O4-δ which possesses a high voltage of 4.7 V vs. Lit/Li and stable structure has been considered as a promising cathode material for high energy Li-ion batteries. In this study, well-crystallized LiNi0.5Mn1.5O4-δ nanorods with diameter of ～50 nm and length of ～500 nm were synthesized by a hydrothermal-solid state process followed by a lithiation reaction. It delivers ～120 mA h-g 1 discharge capacity under 30 mA g-1 at 3.5-4.9 V, and 90 mA h g-1 at 150 mA g-1. An unstable solid electrolyte interphase (SEI) film with thickness 2-10 nm was observed by transmission electron microscopy. The thick and unstable SEI layers are responsible for its low rate performance and low coulombic efficiency during cycling.

关键词： Lithium ion battery High voltage spinel Nanorods Surface reaction

A novel operation mode for spaceborne polarimetric SAR

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science china(Information sciences) 2011年第4期54卷 884-897页

作者： QI WeiKong 1,2 & YU WeiDong 1 1 institute of Electronics,chinese academy of sciences,beijing 100190,china 2 Graduate School of chinese academy of sciences,beijing 100039,china institute of Electronics Chinese Academy of Sciences Beijing China Graduate School of chinese academy of sciences Beijing China

A novel operation mode for spaceborne polarimetric SAR,named polarization space-division adding polarization code-division (PSD-PCD) operation mode,is proposed in this paper through combining polarimetric SAR with elevation digital beam-forming (DBF) on *** a pulse repetition interval the up-chirp LFM sub-pulse is transmitted with horizontal polarization antenna,and with some delay the down-chip LFM subpulse is transmitted with vertical polarization antenna to realize code *** every sub-aperture receives returns from ground,SAR system uses range DBF to separate echoes relative to different sub-pulses in order to realize space *** system PRF is equal to that of single-polarization SAR,and elevation DBF help reduce range ambiguity ***,the main system parameters,including PRF,delay between two sub-pulses,radar equation and ambiguity are analyzed and compared with those of single-polarization *** results demonstrate the feasibility and validity of PSD-PCD operation mode.

关键词： spaceborne synthetic aperture radar (SAR) polarimetry digital beamforming (DBF) operation mode ambiguity ratio polarization space-division polarization code-division

Multi-dimensional versions of a formula of Popoviciu

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science china Mathematics 2007年第2期50卷 285-291页

作者： Zhi-qiang XU institute of Computational Math and Sci/Eng Computing, academy of Mathematics and systems science, chinese academy of sciences, beijing 100080, china institute of Computational Math and Sci/Eng Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

In this paper, an explicit formulation for multivariate truncated power functions of degree one is given firstly. Based on multivariate truncated power functions of degree one, a formulation is presented which counts the number of non-negative integer solutions of s×(s + 1) linear Diophantine equations and it can be considered as a multi-dimensional versions of the formula counting the number of non-negative integer solutions of ax + by = n which is given by Popoviciu in 1953.

关键词： multivariate splines discrete truncated power linear Diophantine equations 41A15 05A15

ADAPTIVE systems THEORY: SOME BASIC CONCEPTS, METHODS AND RESULTS

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Journal of systems science & Complexity 2003年第3期16卷 293-306页

作者： QUO Lei(institute of systems science, academy of Mathematics and systems sciences, chinese academy of sciences, beijing 100080, china) institute of systems science Academy of Mathematics and Systems Sciences Chinese Academy of Sciences 北京 100080

The adaptive systems theory to be presented in this paper consists of two closely related parts: adaptive estimation (or filtering, prediction) and adaptive control of dynamical systems. Both adaptive estimation and control are nonlinear mappings of the on-line observed signals of dynamical systems, where the main features are the uncertain-ties in both the system's structure and external disturbances, and the non-stationarity and dependency of the system signals. Thus, a key difficulty in establishing a mathematical theory of adaptive systems lies in how to deal with complicated nonlinear stochastic dynamical systems which describe the adaptation processes. In this paper, we will illustrate some of the basic concepts, methods and results through some simple examples. The following fundamental questions will be discussed: How much information is needed for estimation? How to deal with uncertainty by adaptation? How to analyze an adaptive system? What are the convergence or tracking performances of adaptation? How to find the proper rate of adaptation in some sense? We will also explore the following more fundamental questions: How much uncertainty can be dealt with by adaptation ? What are the limitations of adaptation ? How does the performance of adaptation depend on the prior information ? We will partially answer these questions by finding some 'critical values' and establishing some 'Impossibility Theorems' for the capability of adaptation, for several basic classes of nonlinear dynamical control systems with either parametric or nonparametric uncertainties.

关键词： adaptive systems estimation control uncertainty stochastic systems stability

Relations between Lipschitz functions and convex functions

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science china Mathematics 2005年第5期48卷 703-710页

作者： RUAN Yingbin Department of Mathematics, Fujian Normal University, Fuzhou 350007, china academy of Mathematics and systems science, chinese academy of sciences, beijing 100080, china Department of Mathematics Fujian Normal University Fuzhou China academy of Mathematics and systems science Chinese Academy of Sciences Beijing China

We discuss the relationship between Lipschitz functions and convex functions. By these relations, we give a sufficient condition for the set of points where Lipschitz functions on a Hilbert space is Frechet differenti... 详细信息

关键词： Lipschitz functions convex functions the Frechet differentiability.

Light A physics in the lepton-specific two-Higgs doublet model

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science china(Physics,Mechanics & Astronomy) 2010年第11期53卷 1981-1987页

作者： CAO JunJie 1,HENG ZhaoXia 2,3 & WAN PeiHua 1 1 College of Physics & Information Engineering,Henan Normal University,Xinxiang 453007,china 2 Key Laboratory of Frontiers in Theoretical Physics,institute of Theoretical Physics,chinese academy of sciences,beijing 100190,china 3 Kavli institute for Theoretical Physics china,chinese academy of sciences,beijing 100190,china College of Physics & Information Engineering Henan Normal University Xinxiang China Key Laboratory of Frontiers in Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences Beijing China Kavli institute for Theoretical Physics china Chinese Academy of Sciences Beijing China

We examine various direct and indirect constraints on the lepton-specific two-Higgs doublet model and discuss its phenomenology at colliders in the allowed parameter *** constraints we consider come from the precision electroweak data,the direct search for Higgs boson,the muon anomalous magnetic moment,as well as some theoretical consistency *** find that in the allowed parameter space the CP-odd Higgs boson A is rather light (m A 30 GeV with 95% possibility),which is composed dominantly by the leptonic Higgs and decays dominantly into τ + τ;while the SM-like Higgs boson h (responsible largely for electroweak symmetry breaking) decays dominantly in the mode h → AA → 4τ with a large decay width,which will make the Higgs discovery more difficult at the ***,this scenario predicts rare Z decays Z → AAA and Z →τ + τA with their branching ratios ranging from 10-8 to 10-and 10-5 to 10-4 respectively,which may be accessible at the GigaZ option of the ILC.

关键词： Lepton-specific two-Higgs doublt model light Higgs boson A Z decays

Dynamics of morphological changes for mitochondrial fission and fusion

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science china(Physics,Mechanics & Astronomy) 2010年第4期53卷 680-689页

作者： WANG ShiQi 1,2,4 , FU ChangLiang 1,2 , ZHANG Yan 1,2 , CHEN Quan 3 & LONG Mian 1,2 1 Key Laboratory of Microgravity (National Microgravity Laboratory), beijing 100190, china 2 Center for Biomechanics and Bioengineering, institute of Mechanics, chinese academy of sciences, beijing 100190, china 3 State Key Laboratory of Biomembrane and Membrane Biotechnology, institute of Zoology, chinese academy of sciences, beijing 100101, china 4 institute of Vertebrate Paleontology and Paleoanthropology, chinese academy of sciences, beijing 100044, china Key Laboratory of Microgravity (National Microgravity Laboratory) Beijing China Center for Biomechanics and Bioengineering Institute of Mechanics Chinese Academy of Sciences Beijing China institute of Vertebrate Paleontology and Paleoanthropology Chinese Academy of Sciences Beijing China State Key Laboratory of Biomembrane and Membrane Biotechnology Institute of Zoology Chinese Academy of Sciences Beijing China

Mitochondria experience continuous fusion and fission in a living cell, but their dynamics remains poorly quantified. Here a theoretical model was developed, upon a simplified population balance equation (PBE), to predict the morphological changes induced by mitochondrial fission and fusion. Assuming that both fission and fusion events are statistically independent, the survival probability of mitochondria staying in the fission or fusion state was formulated as an exponentially-decayed function with time, which depended on the time-dependent distribution of the mitochondrial volume and the fission and fusion rates. Parametric analysis was done for two typical volume distributions. One was Gamma distribution and the other was Gaussian distribution, derived from the measurements of volume distribution for individual mitochondria in a living cell and purified mitochondria in vitro. The predictions indicated that the survival probability strongly depended on morphological changes of individual mitochondria and was inversely correlated to the fission and fusion rates. This work provided a new insight into quantifying the mitochondrial dynamics via monitoring the evolution of the mitochondrial volume.

关键词： mitochondria morphology fission fusion dynamics modeling

ARTIFICIAL LIVING SYSTEM AND ITS COMPLEXITY

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Journal of systems science & Complexity 2001年第2期14卷 124-131页

作者： ZHANG Yongguang (institute of systems science, academy of Mathematics and systems science, chinese academy of sciences, beijing 100080, china) 中科院系统科学所北京 100080

In this paper the author shows some artificial living systems, whose basic life characteristics are explored, especially the differentiation in evolution from single cellular to multi-cellular organism. In addition, the author discusses diversity and evolvability also. The author gives a modified entropy function to measure the diversity. Finally, the author drops an open problem about the structure of "gene" of artificial living systems, so that we can measure the evolutionary order between the artificial living systems.

关键词： Artificial living systems digital creature evolutionary systems diferentia- tion diversity evolvability.