零点分布在直线上的亚纯函数的正规定则

对零点分布在给定直线上的亚纯函数的正规性进行了讨论,设F是定义在单位圆盘D上的亚纯函数族,若存在M≥0,使得对于任意f∈F满足:f(z)=0 =〉f′≤M z m;f(z)的零点分布在一条给定直线上;f(z)的极点重数至少为3;f′(z)≠z m,则F在区域D上正规.     

涉及实零点的亚纯函数Picard型定理

利用亚纯函数的正规理论和值分布理论的基本概念、研究方法以及研究成果,并以Marty正规定则为基础,对零点均是实数的亚纯函数的Picard型定理进行了研究,得到:设d∈N~+,f是复平面瓘上的超越亚纯函数,若存在M≥0,使得f满足f的零点均为实数;f的极点重级至少为3;当f(z)=0时,必有|f′(z)|≤M|z~d|,则f′-z~d有无穷多个零点.     

一个正规定则的改进

研究了亚纯函数的正规族,作者运用Nevanlinna值分布理论,推广方明亮关于正规族的一个结果,得到如下结果:设{f(z)}是域D内亚纯函数族,a≠0,b∈C,如果对{f(z)}中每个f(z)都有(f′(z))2-a(f(z))2≠b且f(z)的零点重数≥3,则{f(z)}在D中正规.     

亚纯函数分担全纯函数的正规族（英文）

主要研究了亚纯函数分担全纯函数的正规族问题,证明了:如果F是区域D上的亚纯函数,k(≥1),m(≥0)为两个整数,ω■0为一个全纯函数,在D内其零点的重级为m。如果对任意的f∈F,f的所有零点及极点的重级至少为max{m+k,m+1+k/2},且对任意的(f,g∈F都有ffk),(ggk)IM分担ω,则F在D正规。     

亚纯函数的正规族

研究了亚纯函数的正规族问题,得到了如下的结果:设F为区域D内一亚纯函数族,k,m(≥2)为两个正整数.a(≠0)是有穷复常数,若任意的函数f(z)∈F,f(z)的零点重级至少为k,且存在M>0,使得当fm(z)f(k)(z)=a时,|f(z)|≥M或|f(k)(z)|≤M,则F在D内正规.     

亚纯函数分担全纯函数的正规族

主要研究了亚纯函数分担全纯函数的正规族问题,证明了：如果F是区域D上的亚纯函数,k(≥1), m(≥0)为两个整数,ω≠0为一个全纯函数,在D内其零点的重级为m。如果对任意的f ∈F,f的所有零点及极点的重级至少为 max｛m+k, m+1+k/2｝,且对任意的f,g F都有ff(k),gg(k) IM分担ω,则F在D正规。
     

涉及零点重级的亚纯函数的正规族

证明了亚纯函数的一个正规定则:设F是区域D内的一族亚纯函数,a≠0,b是2个有穷复数,m,k,n是3个正整数,且n≥m+1.如果对任意的f∈F,f的零点重级至少为k+1,且fm+a(f(k))n≠b,那么F在D内正规.     

涉及例外值的亚纯函数的正规性

研究亚纯函数的正规性,运用Pang-zalcman方法,推广方明亮关于正规族的一个结果,得到以下的结果:设F是区域D内的一族亚纯函数,a≠0,b∈C,如果对f∈F,都有[f(k)(z))]l-a[f(z)]m≠b,且f(z)的零点重级k+2,则F在D内正规.     

分担值与亚纯函数的正规性

把亚纯函数的分担值和推广了的球面导数相结合,得到了如下结果:设F是区域D内的亚纯函数族,若F中的任意函数,(∈F)的零点重数至少是k(k是正整数),f=0当且仅当f(k)=0,且当z∈E(1,f(k))时,存在正整数M(<1),使得|f(k)(z)|/1+|f(z)|k+1≤M 则F在D内正规.     

涉及微分多项式和多项式的亚纯函数正规族

k,l∈N,且k≥2,设F为D内亚纯函数族,对f∈F,在D内的零点之级≥k 1,极点之级≥2.h(z)为D内的全纯函数,在D内的零点之级≥2,且h(z)0.设a1(z),a2(z),...,ak-1(z)和b1(z),b2(z),...,bl(z)为D内的全纯函数.置H(f)(z)=f(k)(z) ak-1(z)f(k-1)(z) ... a1(z)f ′(z) b1(z)f(z) ... bl(z)f l(z).若对f∈F,有H(f)(z)≠h(z)(z∈D)成立,则F在D内正规.     

An Index mechanism for multi-scale view in spatial databases

There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.     

Perspherical Approaches for Electrons in Atoms and Charged Excitons in Quantum Wells

Instead of following Fock’s expansion,we solve the Schrodinger equation for some quantum mechanical manybody systems such as electrons in atoms and charged excitons in quantum wells in a similar way in hyperspherical coordinates by expanding the wave functions into orthonormal complete basis sets of the hyperspherical hannonics(HHs)of hyperangles and generalized Laguerre polynomials(GLPs)of the hyperradius.This leads the equation to     

Advances in broadband wireless communications under high-mobility scenarios

Future mobile communication systems aim at providing very high data transmission rates, even in high-mobility scenarios such as high-speed wheel-track trains, maglev trains, highway vehicles, airplanes, guided missiles or spacecraft. A particularly important commercial application is the strong and increasing worldwide demand for high- speed broadband wireless communications （up to 574.8 km/ h test speeds or 380 km/h commercial speeds） in railways, providing data, voice and video services for applications such as onboard entertainment services to passengers, train control, train dispatch, train sensor status handling and sur- veillance. In such high-mobility scenarios, there are a number of communication challenges, including fast hand- over, location updating, high-speed channel modeling, estimation and equalization, anti-Doppler spreading tech- niques, fast power control, and dedicated network architec- ture. Because signal transmission in very high-speed scenarios will inevitably experience serious deterioration, it is imperative to develop key broadband mobile communi- cation techniques for such high-speed vehicles.     

Wuhan University Journal of Natural Sciences TOTAL CONTENTS

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Scale-based spatial data model for GIS

Being the primary media of geographical information and the elementary objects manipulated, almost all of maps adopt the layer-based model to represent geographic information in the existent GIS. However, it is difficult to extend the map represented in layer-based model. Furthermore, in Web-Based GIS, It is slow to transmit the spatial data for map viewing. In this paper, for solving the questions above, we have proposed a new method for representing the spatial data. That is scale-based model. In this model we represent maps in three levels: scale-view, block, and spatial object, and organize the maps in a set of map layers, named Scale-View, which associates some given scales.Lastly, a prototype Web-Based GIS using the proposed spatial data representation is described briefly.     

英文诗歌中的喻类修辞

为了有助于提高英文爱好者的个人情操、文化素养和学习兴趣,以及专业人员对英语学习和研究进行多途径的探索,本文通过一些精选诗歌的引证和分析,着重论述了喻类修辞法在英文诗歌中的运用其及效果。     

Man Is Unable to Change the Miserable Life——Analysis of the Arrangement of Four Characters in The Glass Menagerie

Tennessee Williams is considered as one of the most important American playwrights since World War II.The Glass Menagerie is his first successful drama,which describes a tragic situation of family and means to say that Man is unable to change the miserable life,no matter whatever means he try,This essay focuses on the analysis of the arrangement of the four main characters:Laura.Amanda,Jim and Tom to reveal the theme.Laura is fragile.Amanda is brave.Jim is vital.Tom is sensible.And all of them develop and try the different means to struggle against life,but fail tragically.With the evidence,the paper comes to conclusion naturally that Man is unable to change the miserable life,and he dooms to fail.     

Characterization of root-nodulating bacteria on Retama raetam in arid Tunisian soils

The aim of this study is to investigate the diversity of Retama raetam root-nodule bacteria isolated from arid regions of Tunisia. Twelve isolates, chosen as representative for different 16S rRNA gene patterns, were characterized by 16S rRNA gene sequencing and phenotypic analysis. Isolates were assigned to Sinorhizobium, Rhizobium and Agrobacterium. Symbiotic properties of Sinorhizobium and Rhizobium isolates showed a large diversity in their capacity to infect their host plant and fix atmospheric nitrogen. Strain RK 22 identified as Rhizobium was the most effective isolate.     

An Affordable Accurate Evaluation of the Binding Conformations Predicted by Molecular Docking Studies in Bio-System

正Recently,docking has been widely used to predict the binding-modes of protein-inhibitors,when the crystal complexes structure was absent.Most docking algorithms are able to generate a large number of probable conformations,it,however,is difficult to effectively evaluate these docking poses and identify the most reasonable bindingmode.In the present study,on the basis of the crystallographic data of human 3-hydroxy-3-methylglutaryl coenzyme     

WIMAX与WI-FI技术分析及联合组网

介绍了WiMAX与Wi-Fi两种无线宽带接入技术,并对两者之间的关系及相互之间的影响做了对比及分析,并对WiMAX的关键技术进行了详细说明,最后对两者的联合组网方式做了简单的探讨。