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Some properties on multivariate filter banks with a matrix factorization

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Progress in Natural Science:Materials International 2005年第2期15卷 20-30页

作者： LIAN Qiaofang1, XIAO Hongying2. and CHEN Qiuhui3.1. department of mathematics, Beijing Jiaotong {2., Beijing 100044, China 2. Institute of mathematics, Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 3. department of Scientific Computing and Computer Applications, Zhongshan {2., Guangzhou 5102.5, China) department of mathematics Beijing Jiaotong University Beijing 100044 China. Institute of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China. department of Scientific Computing and Computer Applications Zhongshan University Guangzhou 510275 China

A class of multivariate filter banks with a matrix factorization has been developed by Chen et al. The main purpose of this paper is to discuss some further properties of this kind of filter bank, such as the completeness, accuracy of the corresponding scaling functions and the relationships with Daubechies' wavelets and the multi-wavelets provided by Chui and Lian. Moreover, some examples are given to show that this kind of filter bank has a higher accuracy for the scaling functions.

关键词： filter banks completeness accuracy matrix factorization

ASSESSMENT OF LOCAL INFLUENCE FOR F-TESTIN LINEAR REGRESSION MODEL

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Systems Science and Mathematical Sciences 1999年第1期12卷 33-39页

作者： SHI Lei (department of Statistics, yunnan university,{2., China) 云南大学统计系云南昆明

In linear regression model, the influence on the regression coefficients has beed paid great attention and other aspects such as the influence on confidence regions have also been studied. However, influence on F-test in linear regression model received few consideration. This paper examines the local influence of small perturbations on Fstatistic. The diagnostic results permit one to check the sensitivity of F-statistic to the exact perturbations of error variance, explanatory variables and response variables. This method is applied to testing problem of transformation parameter in transformation *** are illustrated with two examples and compared with standard method.

关键词： Linear regression model local influence F-test transformation model.

Dielectric polymer grafted electrodes enhanced aqueous supercapacitors

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Nano Research 2024年第3期17卷 1525-1534页

作者： Shian Dong kunming Shi Jie Chen Yingke Zhu Hongfei Li Weihang Gao Zhenli Xu Qinglei Liu Xingyi Huang Shanghai Key Laboratory of Electrical Insulation and Thermal Aging Department of Polymer Science and EngineeringState Key Laboratory of Metal Matrix CompositesShanghai Jiao Tong UniversityShanghai 200240China School of Mathematical Sciences Institute of Natural Sciences and MOE−LSCShanghai Jiao Tong UniversityShanghai 200240China State Key Laboratory of Metal Matrix Composites Shanghai Jiao Tong UniversityShanghai 200240China

Supercapacitors(SCs)have become increasingly important in electrical energy storage and delivery owing to their high power densities and long *** SCs are promising for large-scale engineering applications because of their low cost and ***,the low operating voltage and low energy density of aqueous SCs severely limit their practical *** this study,a nanoscale dielectric layer is grafted onto a graphene electrode to achieve both a high operating voltage and enhanced *** with an SC without dielectric grafting,a dielectric-enhanced SC(DESC)shows a higher capacitance by 2.00%.The mechanism of the capacitance enhancement can be attributed to three factors:the dielectric polarization,the ions desolvation by the dielectric,and the enhanced quantum capacitance from charge transfer and ion adsorption in the polymer *** addition,a 2.5 V pouch DESC with a 1 M KCl electrolyte is confirmed to cycle up to 50,000 times with a capacitance retention of 87.5%.The DESC presents the optimal electrochemical properties after it is grafted with a 5 nm dielectric *** study provides new insights into the design of high-voltage and high-energy-density aqueous SCs.

关键词： supercapacitors dielectric polymer high voltage capacitance enhancement

EFFECT OF SOLVENT POLARITY ON THE RATES AND PRODUCT RATIOS OF MICROWAVE INDUCED DIELS－ALDERREACTION

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Chinese Chemical Letters 1995年第6期6卷 469-472页

作者： Rong Shun ZHU Rin Jie HONG Shu Shan DAI(department of Chemistry yunnan university{2.) yunnan Univ Dept Chem Kunming 650091 Peoples R China

s:The rates and yields of two Diels-Alder *** a series of different solvents as the energy-transfer medium under microwave irradiation(frequency,2.50 MHZ)and conventional refluxing at ambient *** been compared The 1ho...

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Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order

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Wuhan university Journal of Natural Sciences 2005年第2期10卷 339-343页

作者： HAN Hui-li 1,2.,DU Jin-yuan 1,3.1. School of mathematics and Statistics, Wuhan university, Wuhan 43.072. Hubei, China 2. School of mathematics and Computer, Ningxia university, Yinchuan 75002., Ningxia, China 3. department of mathematics, Hubei Institute for Nationalities, Enshi 445000, Hubei, China Wuhan university School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Ningxia university School of Mathematics and Computer Yinchuan Ningxia China (GRID:grid.260987.2) (ISNI:***) Wuhan university School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Hubei Institute for Nationalities Department of Mathematies Enshi Hubei China (GRID:grid.34418.3a) (ISNI:***)

We have discussed and solved the boundary value problem with period 2.π and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integratio... 详细信息

关键词： boundary value problem singular integral equation the singularities of high order

OUTLIER SCORE TEST IN A GROWTH CURVE MODEL

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Systems Science and Mathematical Sciences 1995年第2期8卷 157-165页

作者： FEI Yu(department of Accounting,yunnan {2.,{3.,China) 云南大学会计学系云南昆明

ＯＵＴＬＩＥＲＳＣＯＲＥＴＥＳＴＩＮＡＧＲＯＷＴＨＣＵＲＶＥＭＯＤＥＬＦＥＩＹｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｃｃｏｕｎｔｉｎｇ，ＹｕｎｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋｕｎｍｉｎｇ６５００９１，Ｃｈｉｎａ）Ａｂｓｔｒａｃ... 详细信息

ＯＵＴＬＩＥＲＳＣＯＲＥＴＥＳＴＩＮＡＧＲＯＷＴＨＣＵＲＶＥＭＯＤＥＬＦＥＩＹｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｃｃｏｕｎｔｉｎｇ，ＹｕｎｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋｕｎｍｉｎｇ６５００９１，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｓｃｏｒｅｔｅｓｔｓｔａｔｉｓ...

关键词： Growth curve model local influence of covariance perturbation score test statistic variance enlargement model

On conformal measures for infinitely renormalizable quadratic polynomials

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Science China mathematics 2005年第10期48卷 1411-1420页

作者： HUANG Zhiyong~1 JIANG Yunping~(2.3. & WANG Yuefei~3.1. School of Information,Renmin university of China,Beijing 100872.China {3.,Queens College,City university of New York,NY 113.7,USA {3. of mathematics,Graduate School,City university of New York,New York,NY 10016,USA 3. Academy of mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China 1. School of Information Renmin University of China 100872 Beijing China 2. department of mathematics Queens College City University of New York 11367 NY USA 3. department of mathematics Graduate School City University of New York 10016 New York NY USA 4. Academy of mathematics and Systems Science Chinese Academy of Sciences 100080 Beijing China

We study a conformal measure for an infinitely renormalizable quadratic polynomial. We prove that the conformal measure is ergodic if the polynomial is unbranched and has complex bounds. The main technique we use in t... 详细信息

关键词： Julia set, conformal measure, three-dimensional puzzle, infinitely renormalizable quadratic polynomial.

The Chemical Classification of the AGB Star IRAS 17515-2.07

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Chinese Journal of Astronomy and Astrophysics 2003年第6期3卷 551-554页

作者： Pei-Sheng Chen and Pin Zhang1National Astronomical Observatories, yunnan Observatory, Chinese Academy of Sciences, kunming 650011 2.osmic Ray Institute,{2.,{3. Cosmic Ray Institute Yunnan University Kunming 650091

The chemical classification of IRAS 17515-2.07 has been debated for a longtime. Up to now there are two contenders, oxygen-rich or carbon-rich. We believe that IRAS17515-2.07 is an oxygen-rich source: because (ⅰ) it shows the silicate self-absorbed emission; (ⅱ)in the near infrared-IRAS diagram it is located in the oxygen-rich object region and (ⅲ)particularly, it has detected SiO maser emission.

关键词： stars: AGB stars: chemical classification stars: maser infrared: stars

GLOBAL　AND　LOCAL　BIFURCATION　IN　PERTURBATIONS　OF　NON－SYMMETRY　AND　SYMMETRY　OF　HAMILTONIAN　SYSTEM

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Systems Science and Mathematical Sciences 1995年第4期8卷 289-298页

作者： LIU Zhengrong(Institute of Applied mathematics of yunnan Province {2. of mathematics,yunnan university,kunming 650091,China)JING Zhujun(Institute of mathematics,Academia Sinica,Bejiing 100080,China) 云南省应用数学所云南昆明中科院数学所北京

ＧＬＯＢＡＬＡＮＤＬＯＣＡＬＢＩＦＵＲＣＡＴＩＯＮＩＮＰＥＲＴＵＲＢＡＴＩＯＮＳＯＦＮＯＮ－ＳＹＭＭＥＴＲＹＡＮＤＳＹＭＭＥＴＲＹＯＦＨＡＭＩＬＴＯＮＩＡＮＳＹＳＴＥＭ￥ＬＩＵＺｈｅｎｇｒｏｎｇ（Ｉｎｓｔｉｔｕｔｅｏ... 详细信息

ＧＬＯＢＡＬＡＮＤＬＯＣＡＬＢＩＦＵＲＣＡＴＩＯＮＩＮＰＥＲＴＵＲＢＡＴＩＯＮＳＯＦＮＯＮ－ＳＹＭＭＥＴＲＹＡＮＤＳＹＭＭＥＴＲＹＯＦＨＡＭＩＬＴＯＮＩＡＮＳＹＳＴＥＭ￥ＬＩＵＺｈｅｎｇｒｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉ...

关键词： Non-symmetry perturbed bifurcation detection function.