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Automorphisms with order three of affine Lie algebras

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Chinese Science Bulletin 1998年第21期43卷 1793-1798页

作者： JIN Quanqin 1,2.and HOU Zixin 2.1. department of mathematics, Hebei {2., Baoding 071002. china 2. department of mathematics, Nankai {2., Tianjin 300071, china department of mathematics Hebei University Baoding China department of mathematics Nankai University Tianjin China

Some properties of automorphisms of affine Lie algebras are presented. Automorphisms with order three are classified up to conjugacy, and their fixed point sets are also computed. As a corollary, it is proved that two... 详细信息

关键词： affine Lie algebra automorphism of order three first (second) kind of automorphism.

High-energy radiation from old pulsars

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Science china(Physics,Mechanics & Astronomy) 2010年第S1期53卷 135-138页

作者： JIANG ZeJun1,2.& ZHANG Li2.1 yunnan Astronomical Observatory,National Astronomical Observatories,Chinese Academy of Sciences,kunming 650011,{2. 2.department of Physics,yunnan university,kunming 650091,{2. yunnan Astronomical Observatory National Astronomical Observatories Chinese Academy of Sciences Kunming China department of Physics Yunnan University Kunming China

In this paper,we study nonthermal high energy radiation from old rotation-powered pulsars with ages greater than 106 yr based on the revised outer gap *** this model,the inclination angle and geometry of the magnetic field have been taken into account,and the fractional size f of the outer gap is determined by the electron/positron pair production *** cascade process caused by the back-flowing particles moving from the outer gap to the star will produce the observed nonthermal X-ray emission,and the relativistic particles accelerated in the outer gap will produce gamma-rays via curvature *** nine old pulsars which have been detected to have nonthermal X-rays,we first use the observed nonthermal X-ray emission to estimate reasonable inclination angles,and then estimate their gamma-ray *** also study the possibilities of gamma-ray emissions from other old rotation-powered *** compare our predicted gamma-ray flux with the sensitivities of AGILE and Fermi.

关键词： superbubble HII region cluster PAH dust

Shape blending of artistic brushstroke represented by disk B-spline curves

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Progress in Natural Science:Materials International 2007年第12期17卷 1501-1507页

作者： Cheng Min1,2.and Wang Guojin1(1. department of mathematics, Zhejiang {2., Hangzhou 31002., china 2. department of mathematics, Zhejiang {2. of Technology, Hangzhou 310032. china) department of mathematics Zhejiang University Hangzhou 310027 China department of mathematics Zhejiang University of Technology Hangzhou 310032 China

This paper presents an algorithm for automatically generating in-between frames of two artistic brushstrokes. The basic idea of the algorithm is to represent the two key frames of artistic brushstrokes in disk B-spline curves, and then make blending of their geometric intrinsic variables. Given two key frames of artistic brushstrokes, the skeleton curves can be obtained by certain skeleton-based techniques. After disk B-spline representation of the key frames is generated, interpolation of the intrinsic variables of the initial and the target disk B-spline curves is carried out. Examples show that this method can efficiently create in-between frames of artistic brushstrokes.

关键词： computer aided calligraphy shape blending brushstroke disk B-spline curve skeleton.

Response to“Discussion on the systematic position of the Early Cambrian priapulomorph worms”

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Science Bulletin 2006年第2期51卷 250-256页

作者： HAN Jian1 & HU Shixue2.1. department of Geology and Key Laboratory for Continental Dynam- ics of the Education Ministry, Northwest university, Xi’an 710069,{2. 2. yunnan Geological Institute, kunming 650011,{2. department of Geology and Key Laboratory for Continental Dynamics of the Education Ministry Northwest University Xi’an China yunnan Geological Institute Kunming China

A response by Han Jian & Hu Shixue to a letter to the editor about their article 'Systematic Position of the Early Cambrian priapulomorph worms' in the 2.04 issue is presented.

关键词： Response to Discussion on the systematic position of the Early Cambrian priapulomorph worms

Microwave Effect On Partial Oxidation of Methane to Syngasover Ni/ZrO_2

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Chinese Chemical Letters 1998年第8期9卷 775-777页

作者： Xian Jun BI Xiao Guang XIE Ai Hong DUAN Pin Jie HONG Shu Shan DAI(department of Chemistry, yunnan Normal {2., kunming 650092.(department of Chemistry, yunnan university, kunming 650091) department of Chemistry Yunnan Normal University Kunming 650092 China department of Chemistry Yunnan University Kunming 650091 China

The partial oxidation of methane to syngas over Ni/ZrO2.catalyst irradiated by ndcrowave has been studied. Compared with a conventional heating mode, the temperature of the catalytic bed is much lower and there is a h... 详细信息

关键词： microwave partial Oxidation methane syngas Ni/ZrO_2

LOCAL INFLUENCE IN DISCRIMINANT ANALYSIS

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Systems Science and Mathematical Sciences 1995年第1期8卷 27-36页

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

ＬＯＣＡＬＩＮＦＬＵＥＮＣＥＩＮＤＩＳＣＲＩＭＩＮＡＮＴＡＮＡＬＹＳＩＳＷＡＮＧＸｕｅｒｅｎ；ＲＥＮＳｈｉｑｕａｎ；ＳＨＩＬｅｉ（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓ，ＹｕｎｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋｕｎ... 详细信息

ＬＯＣＡＬＩＮＦＬＵＥＮＣＥＩＮＤＩＳＣＲＩＭＩＮＡＮＴＡＮＡＬＹＳＩＳＷＡＮＧＸｕｅｒｅｎ；ＲＥＮＳｈｉｑｕａｎ；ＳＨＩＬｅｉ（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓ，ＹｕｎｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋｕｎｍｉｎｇ６５００９１，Ｃｈｉｎａ）...

关键词： Discriminant analysis generalized cook statistic perturbation scheme local influence.

Fuzzy controllers based on some fuzzy implication operators and their response functions

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Progress in Natural Science:Materials International 2004年第1期14卷 16-21页

作者： LI Hongxing 1*, YOU Fei 1 and PENG Jiayin 2.1. department of mathematics, Beijing Normal {2., Beijing 100875, china 2. department of mathematics, Neijiang Teacher's College, Neijiang 641112. china) Beijing Normal Univ Dept Math Beijing 100875 Peoples R China

The fuzzy controllers constructed by 2. fuzzy implication operators based on CRI algorithm and their response functions are discussed. The conclusions show that the fuzzy controllers constructed by 9 fuzzy implication operators are universal approximators to continuous functions and can be used in practical fuzzy control systems. And these 9 fuzzy implication operators except for Einstein operator intersection are all the adjoint pairs of some fuzzy implication operators. Besides, there are 3 other fuzzy controllers formed by fuzzy implication operators being regarded approximately as fitted functions.

关键词： fuzzy implication operators CRI algorithm fuzzy controllers response functions universal approximators

Transitional function of DG to CA3 in the hippocampus

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Progress in Natural Science:Materials International 2007年第12期17卷 1436-1444页

作者： Yan Chuankui1 and Liu Shenquan2.1. department of mathematics, Hangzhou Normal {2., Hangzhou 310036, china 2. department of Applied mathematics, School of Mathematical Sciences, South china {2. of Technology, Guangzhou 510640, china) department of mathematics Hangzhou Normal University Hangzhou 310036 China department of Applied mathematics School of Mathematical Sciences South China University of Technology Guangzhou 510640 China

Using single cell channel model, the transmission features of CA3-DG network in the hippocampus are investigated. The influence of the stimulation on discharge pattern of pyramidal neurons is analyzed, which shows that it starts with period spiking discharges, followed by period-doubling bifurcation to chaos, and period 3 discharge evolving into chaos, and ultimately a period of bursting discharges. By the synaptic model, the CA3-DG network model is constructed, which analyzes the summation of postsynaptic currents in the network, the influence of postsynaptic current on discharge rhythm as well as the mechanism of bursting discharges. The strong capacity of spatiotemporal encoding in the network indicates the features of CA3 network during the information transmission process in the hippocampus. The modeling result with time delay of the synaptic transmission is in accordance with the experimental phenomena of action potential in the hippocampus.

关键词： hippocampus CA3-DG period-doubling bifurcation chaos.

K-uniformly rotund spaces and k-uniformly smooth spaces

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Chinese Science Bulletin 1998年第2期43卷 92-95页

作者： Suyalatu 1 and WU Congxin 2.1. department of mathematics,Inner Mongolia Normal {2., Huhhot 01002., china 2. department of mathematics, Harbin Institute of Technology, Harbin 150006, china department of mathematics Inner Mongolia Normal University Huhhot China department of mathematics Harbin Institute of Technology Harbin China

The conception of k_uniform smoothness (KUS) is introduced. It is the extension of the conception of uniform smoothness. It is proved that the k_uniform smoothness and Sullivan’s K_uniform rotundity (KUR) are the daul notions. X+* is a KUR space if and only if X is a KUS space, X+* is a KUS space if and only if X is a KUR space. If X is a KUS space, then X is a (K+1)US space. It is also proved that the KUS space includes the Nan’s k_strongly smooth space.

关键词： K_uniform smoothness K_uniform convexity.