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cartesian closedness of categories of completely distributive lattices

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Chinese Science Bulletin 1998年第24期43卷 2059-2063页

作者： ZHANG Dexue 1 and YANG Zhongqiang 2 1. department of mathematics, Sichuan university, Chengdu 610064, China 2. department of mathematics, Shaanxi Normal university, Xi’an 710062, China department of mathematics Sichuan University Chengdu China department of mathematics Shaanxi Normal University Xi’an China

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ... 详细信息

关键词： completely distributive lattice continuous lattice cartesian closedness.

Minimal symmetric submanifolds in compact Riemannian symmetric spaces

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Chinese Science Bulletin 1998年第21期43卷 1786-1789页

作者： LIANG Ke 1 and JIN Quanqin 1,2 1. department of mathematics, Nankai university, Tianjin 300071, China 2. department of mathematics, Hebei university, Baoding 071002, China department of mathematics Nankai University Tianjin China department of mathematics Hebei University Baoding China

A necessary and sufficient condition for a symmetric submanifold to be minimal in its ambient compact Riemannian symmetric space is given. By this condition a complete classification of non- minimal symmetric submanif... 详细信息

关键词： symmetric space symmetric submanifold mean curvature vector.

Intravascular imaging on high frequency ultrasound combined with optical modalities

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Intravascular imaging on high frequency ultrasound combined ...

Transitional function of DG to ca3 in the hippocampus

2011年全国压电和声波理论及器件应用研讨会

作者： Qifa Zhou 1 Ultrasonic Transducer Resource Center,university of Southern california,Los Angeles,ca,usa,90089 2 department of Biomedical Engineering,university of california,irvine,ca,usa,92697

＜正＞Atherosclerosis is a complex syndrome characterized by plaques build up on the inner lining of coronary arteries, which is the leading cause of morbidity in developed *** of atherosclerotic lesions relies on med...

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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 university, Hangzhou 310036, China 2. department of Applied mathematics, School of Mathematical Sciences, South China university 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.

Celebrating Plant Cells:A Special Issue on Plant Cell Biology

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Journal of Integrative Plant Biology 2007年第8期49卷 1089-1090页

作者： Zhenbiao Yang Center for Plant Cell Biology,department of Botany and Plant Sciences,university of california,Riverside,ca 92521,usaBe Liu Section of Plant Biology,university of california,Davis,ca 95616,usa Center for Plant Cell Biology Department of Botany and Plant Sciences University of California Riverside CA 92521 USA Section of Plant Biology University of California Davis CA 95616 USA

A special issue on plant cell biology is long overdue for JIPB! In the last two decades or so, the plant biology community has been thrilled by explosive discoveries regarding the molecular and genetic basis of plant growth, development, and responses to the environment, largely owing to recent maturation of model systems like Arabidopsis thaliana and the rice Oryza sativa, as well as the rapid development of high throughput technologies associated with qenomics and proteomics.

关键词： Celebrating Plant Cells

Proper holomorphic self-maps of smooth bounded Reinhardt domains in C^2

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Science China mathematics 2008年第1期51卷 93-100页

作者： CHEN ZhiHua~1 & PAN YiFei~(2,3+) 1 department of mathematics, Tongji university, Shanghai 200092, China 2 department of Mathematical Sciences, Indiana university-Purdue university Fort Wayne, Fort Wayne, IN 46805-1499, usa 3 School of mathematics and Information Sciences, Jiangxi Normal university, Nanchang 330022, China department of mathematics Tongji University Shanghai China department of Mathematical Sciences Indiana University-Purdue University Fort Wayne Fort Wayne USA School of mathematics and Information Sciences Jiangxi Normal University Nanchang China

It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain in C^2 is an automorphism.

关键词： Reinhardt domain proper holomorphic maps

Some results on numerical divided difference formulas

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Science China mathematics 2005年第11期48卷 1441-1450页

作者： Wang Xinghua,Wang Heyu & Ming-Jun Lai department of mathematics, Zhejiang university, Hangzhou 310028, China Computing Center, Zhejiang university, Hangzhou 310012, China department of mathematics, university of Georgia, Athens, GA 30602-7403, usa 1. department of mathematics Zhejiang University 310028 Hangzhou China 2. Computing Center Zhejiang University 310012 Hangzhou China 3. department of mathematics University of Georgia 30602-7403 Athens GA USA

The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived wit... 详细信息

关键词： numerical divided difference remainder estimate functions of lower smoothness sufficiently smooth functions super convergence.

The maximal super-singular integral operators on product spaces

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Science China mathematics 2011年第12期54卷 2615-2626页

作者： WANG Hui1 & CHEN JieCheng2,3, 1department of mathematics, Xidian university, Xi’an 710071, China 2department of mathematics, Zhejiang Normal university, Jinhua 321004, China 3department of mathematics, Zhejiang university, Hangzhou 310027, China 1. department of mathematics Xidian University Xi’an 710071 China2. Department of Mathematics Zhejiang Normal University Jinhua 321004 China3. Department of Mathematics Zhejiang University Hangzhou 310027 China

We study the maximal super-singular integral operator T＊Ω,α,β（f）（x,y）=sup ∈1〉0,∈2〉0｜∫｜u｜〉ε1,｜v｜〉ε2 b1（｜u｜）b2（｜u｜）Ω（u＇,u＇）/｜u｜^n＋α｜u｜^m＋β-f（x-u,y-u）dudu｜defined on all f ∈ S（R^n ×R^m）, where 0 ≤ α,β〈∞, b1 b2 ∈ L∞（R＋1 ）,Ω satisfies certain cancellation conditions and Ω∈L1（S^n-1×S^m-1）in the case α,β〉0;Ω∈L（log＋L）（S^n-1×S^m-1）in the case αβ=0 and α＋β 〉0. It is proved that, for 1〈p〈∞.T＊Ω,α,βis a bounded operator from the homogeneous Sobolev space Lα,β^p（R^n×R^m）to the Lebesgue space L^p（R^n×R^m）.

关键词： super-singular integral maximal operator product spaces

NONOVERLAPPING DOMAIN DECOMPOSITION METHOD WITH MIXED ELEMENT FOR ELLIPTIC PROBLEMS

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Journal of Computational mathematics 1996年第4期14卷 291-300页

作者： H.X. Rui(mathematics department, Shandong university, Jinan) SHANDONG UNIV DEPT MATHJINAN 250100PEOPLES R CHINA

In this paper we consider the nonoverlapping domain decomposition method based on mixed element approximation for elliptic problems in two dimentional space. We give a kind of discrete domain decomposition iterative algorithm using mixed finite element, the subdomain problems of which can be implemented parallelly. We also give the existence, uniqueness and convergence of the approximate solution.

关键词： Zhang NONOVERLAPPING DOMAIN DECOMPOSITION METHOD WITH MIXED ELEMENT FOR ELLIPTIC PROBLEMS EV