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ALMOST　EVERYWHERE　CONVERGENCE　AND　APPROXIMATION　OF　SPHERICAL　HARMONIC　EXPANSIONS

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Acta Mathematica Scientia 1995年第S1期15卷 109-122页

作者：李落清杨汝月 Department of mathematics Hubei university Wuhan 430062 China Department of mathematics Ningxia university Yinchuan 750021 China

This paper deals with the order of magnitude of the partial sums of the spherical harmonic series and its convergence rate in Bessel potential spaces. The partial results obtained in the paper are the analogue of tho... 详细信息

关键词： Spherical harmonic series Partial sum Convergence Approximation

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灵光独耀:沈宗灵与中国法理学

中国法律评论 2024年第4期 149-154页

作者： Peking university Law school 北京大学法学院

在其诸多弟子的追忆中,沈宗灵先生一生专心治学、淡泊名利,由此常常对世事保持一种有意的疏离。“灵光独耀,迥脱根尘”,或许便是这位法理学大家的灵魂写照。壹“经国济民”:沈宗灵的早年岁月192.年2.2.日,沈宗灵出生于浙江杭州的一个... 详细信息

在其诸多弟子的追忆中,沈宗灵先生一生专心治学、淡泊名利,由此常常对世事保持一种有意的疏离。“灵光独耀,迥脱根尘”,或许便是这位法理学大家的灵魂写照。壹“经国济民”:沈宗灵的早年岁月192.年2.2.日,沈宗灵出生于浙江杭州的一个商人家庭,后随家人迁居上海。

关键词：沈宗灵淡泊名利法理学浙江杭州灵光

Weighted composition operators between μ-Bloch spaces on the unit ball

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Science china mathematics 2005年第10期48卷 1349-1368页

作者： ZHANG Xuejun~1 & XIAO Jianbin~2.1. College of mathematics and computer Science,Hunan Normal {2.,Changsha 410006,china(email:xuejunttt@2.3. net) 2. The school of Science,Hangzhou Dianzi {2.,Hangzhou 310037,china 1. College of mathematics and computer Science Hunan Normal University 410006 Changsha China 2. The school of Science Hangzhou Dianzi University 310037 Hangzhou China

In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^***... 详细信息

关键词： μ-Bloch space, weighted composition operator, boundedness, compactness.

Function S-rough sets and security-authentication of hiding law

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Science in china(Series F) 2008年第7期51卷 924-935页

作者： SHI KaiQuan1,2.& ZHAO JianLi3 1 school of mathematics and {2. Sciences, Longyan university, Longyan 364000, china 2.school of mathematics and System Sciences, Shandong university, Jinan 2.0100, china 3 school of mathematics Science, Liaocheng university, Liaocheng 2.2.59, china 1. school of mathematics and {2. Sciences Longyan University Longyan 364000 China 2. school of mathematics and System Sciences Shandong University Jinan 250100 China 3. school of mathematics Science Liaocheng University Liaocheng 252059 China

Function S-rbugh sets are defined by R-function equivalence class, which have dynamic characteristic. Function S-rough sets have dynamic characteristic, law characteristic and law-hiding characteristic. Function S-rough sets can generate f-hiding law and f-hiding law. By engrafting, crossing, and penetrating between the information security theory and function S-rough sets, the security hiding and the authentication of f-hiding law and f-hiding law are given respectively in this paper. The fusion and share between function S-rough sets and information security theory is a new research direction of the application of information law in information system.

关键词： function S-rough sets law-hiding elliptic curve the security-authentication of hiding law

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 university, Hangzhou 310036,{2. 2. Department of Applied mathematics, school of Mathematical Sciences, South{2. university of Technology, Guangzhou 510640,{2.) 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.

Numerical Solution of Volterra Integral Equation of the Second Kind by Using CAS Wavelets

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Numerical Solution of Volterra Integral Equation of the Seco...

Limit theory of restricted range approximations of complex-valued continuous functions

2.11 International Conference on Management Science and Intelligent Control(ICMSIC 2.11)

作者： Hui- li Han school of mathematics and {2. Science ningxia university yinchuan china

Volterra type integral equation is applied in many en- gineering field. In this paper, Volterra integral equation of the second kind is studied and numerical solution of the integral equation is obtained by using CAS wavelets as basis functions. In this procedure, collocation method is used to convert integral equation to the system of linear equations. Finally, some numerical examples verify the accuracy of this method.

关键词： Volterra integral equation CAS wavelets Collocation method

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Science china mathematics 2007年第10期50卷 1427-1440页

作者： Xian-fa LUO~1 Chong LI~(2.) ~1 school of mathematics and {2. Science,Jishou university,Jishou 416000,china ~2.Department of mathematics,Zhejiang university,Hangzhou 31002.,china 1. school of mathematics and {2. Science Jishou University Jishou 416000 China 2. Department of mathematics Zhejiang University Hangzhou 310027 China

This paper is concerned with the problem of the best restricted range approximations of complex-valued continuous functions. Several properties for the approximating set PΩ such that the classical characterization results and/or the uniqueness results of the best approximations hold are introduced. Under the very mild conditions, we prove that these properties are equivalent that P is a Haar subspce.

关键词： restricted range approximation, Haar subspace, characterization, uniqueness

Adaptive bidirectional diffusion for image restoration

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Science china(Information Sciences) 2010年第12期53卷 2452-2460页

作者： FU ShuJun 1,2.& ZHANG CaiMing 1 1 school of computer Science and Technology, Shandong {2., Jinan 2.0101, china 2.school of mathematics, Shandong {2., Jinan 2.0100, china 1. school of computer Science and Technology Shandong University Jinan 250101 China2. School of Mathematics Shandong University Jinan 250100 China

A large number of applications in image processing and computer vision depend on image quality. In this paper, combining the forward diffusion with the backward diffusion by different weights, we present an adaptive bidirectional diffusion method for image denoising and deblurring simultaneously. Further, we introduce a gradient factor into the data fidelity term, which forms a spatially varying constraint and allows a better restoration of image edges and fine details. In order to obtain a stable solution, we develop a numerically stable scheme and give its theoretical analysis. Finally, we show advantages of this method in deblurring edges, denoising and restoring fine details of image compared with other related methods in experiments.

关键词： image restoration bidirectional diffusion inverse diffusion anisotropic diffusion stabilizing scheme spatially varying constraint

Effects of the CNTF-collagen gel-controlled delivery system on rat neural stem/progenitor cells behavior

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Science china(Life Sciences) 2010年第4期53卷 504-510页

作者： YANG ZhaoYang1, QIAO Hui2.& LI XiaoGuang1,3 1school of Biological Science and Medical Engineering, Beihang university, Beijing 100191,{2. 2.ublic Heath school, ningxia Medical university, yinchuan 750004,{2. 3Beijing Institute for Neuroscience, Capital Medical university, Beijing 100069,{2. 1. school of Biological Science and Medical Engineering Beihang University Beijing 100191 China2. Public Heath School Ningxia Medical University Yinchuan 750004 China3. Beijing Institute for Neuroscience Capital Medical University Beijing 100069 China

The injury of central nervous system (CNS) usually causes the cavity formation. Although transplantation of neural stem/precursor cells (NSPCs) into the lesioned area of CNS has been shown to be implicated in the functional restoration, the therapeutic result is limited by the poor survival of NSPCs as well as their insufficient proliferation and differentiation abilities. Type-1 collagen is considered as a candidate scaffold or drug delivery system to overcome the aforementioned obstacle. This study observed the effects of the CNTF (ciliary neurotrophic factor)-collagen gel-controlled delivery system and daily addition of soluble-form CNTF on the NSPC survival, migration, proliferation and differentiation. The results showed that, within 12.h of the initial co-culture, CNTF was released in a burst pattern, then the CNTF-collagen gel-controlled delivery system stably released CNTF for up to 12.d. The cell viability test, together with immunohistochemistry, RT-PCR and Western blotting, showed that the CNTF-collagen gel-controlled delivery system supported the NSPCs seeded on the surface of collagen gel survival and facilitated their migration and proliferation. The daily addition of soluble-form CNTF to the medium had similar effects to the CNTF-collagen gel-controlled delivery system, but large quantities of soluble-form CNTF were consumed during the entire process. Taken together, the CNTF-collagen gel-controlled delivery system not only provides a physical scaffold for the transplanted NSPCs to adhere and migrate, but also facilitates the NSPC survival, growth and proliferation, simultaneously reducing the consumption of the expensive growth factors. This system may be used to enhance the microenvironment in the lesioned area of CNS.

关键词： spinal cord neural stem/progenitor cells control release type-1 collagen CNTF