分担两个小函数的亚纯函数

设 f和 g是非常数亚纯函数 ,n为非负整数 ,a ,b ,c,d是f和 g的小函数 ,其中a c(n) ,b d(n) 。如果f(n) =a g(n) =b及δ(c,f) δ(d ,g) 2Θ(∞ ,f) (n 2 )Θ(∞ ,g) >n 5 ,δ(c ,f) δ(d ,g) 2Θ(∞ ,g) (n 2 )Θ(∞ ,f) >n 5 ,则f(n) -c(n)a -c(n) ≡ g(n) -d(n)b -d(n) 或 (f(n) -c(n) ) (g(n) -d(n) )≡ (a -c(n) ) (b -d(n) ) .     

一个拟从属函数的系数极值

设函数 f(z)、d(z)、ω(z) 在 |z|<1 内解析,且 |d(z)|≤1,|ω(z)|<1,ω(0)=0.函数 d(z) 是有界的,ω(z) 适合 Schwarz 引理条件.记 g(z)=d(z)f(ω(z)),称g(z) 拟从属于 f(z),记为 g相似文献   

度量空间上两个自映射公共不动点定理

首先引入一类新的A(ρ) 实函数类的概念,并给出一些例子,然后利用A(ρ) 实函数类,在完备度量空间上建立了一些自映射对的公共不动点定理,如f,g为完备度量空间(X,d)上的两个自映射对,当f,g有一个连续并且存在F∈A(ρ) 使得d(f(x),g(y)≤F(d(x,y),d(x,f(x)),d(y,g(y)))对任意x,y∈X成立,则f,g存在唯一的公共不动点.同时举例说明了本文的结论,统一并推广了文献[5-9]的Reich型压缩映射的不动点定理.     

关於n維球面到n維球面的映射

一、引言設S~n和∑~n是兩个定向的n維球面,f是映S~n到∑~n的映射,f:S~n→∑~n。將S~n和∑~n作單形剖分,使得到的复形K和L对於映射f來說是星形相关的(Star-related)。於是設ψ是对应於f的單形逼近映射(Simplicial approximation)。在L中任取定向的n維單形ζ_i~n。假定在K的所有的定向n維單形σ_i~n中,有p_i个合於条件ψ(σ_i~n)=+ζ_i~n,而有q_i个合於条件ψ(σ_i~n)=-ζ_i~n。数值d(f)=p_i-q_i就是勃劳埃(Brouwer)所定义的映射f的度数(Degree)。勃劳埃証明了下述的重要定理:假設f是映球面S~n到球面∑~n的映射,則f的度数只和f所屬的同拓类(Homotopy Class)有关;就是說,假若f和g是同拓的,就有d(f)=d(g)。后來,霍夫(H.Hopf)証明了这条定理的逆定理(見[1]頁501—505):假若d(f)=d(g),則f和g是同拓的,卽f∽g。     

关于整函数的DM分担值集

文章证明了:不存在非常数整函数f和g及三个互异的有穷复数a1,a2,a3,使得f和g以a1为DM分担值,以{a2,a3}为DM分担值集,并且f和g满足:(E)∈(C),使得m(r,f-c/g-c)=S(r,f)或者f满足:(E)d∈(C),使得δ(d,f)＞0.本文在一定的限制条件下,推广了Mues的一个相关结果.     

分担一个小函数的整函数

本文证明了设f(z)和g(z)是两个超越整函数,n≥6是一个正整数,d(z)(≡/0)是f(z)和g(z)的公共小函数．若f     

对Fourier变换频域积分公式的修正

关于Fourier变换的频域积分公式,文献[1]给出: (f(t))/(-jt)∫ F(ω′)dω′文献[2]给出: “如果g(ω)是f(t)的变换,那么integral from -∞ to ω(g(μ)dμ)是(f(t))/(-jt)的变换”。本文证明频域积分公式应写成: (f(t))/(-jt) πf(O)δ(t)integral from -∞ to ω(g(μ)dμ ) 这一修正公式可以适用于更广泛的情况。     

度量空间上两个自映射公共不动点定理

首先引入一类新的Aφ实函数类的概念, 并给出一些例子,然后利用Aφ实函数类, 在完备度量空间上建立了一些自映射对的公共不动点定理,如f,g为完备度量空间(X,d)上的两个自映射对,当f,g有一个连续并且存在F∈Aφ使得d(f(x),g(y))≤F(d(x,y),d(x,f(x)),d(y,g(y)))对任意x,y∈ X成立,则f,g存在唯一的公共不动点。同时举例说明了本文的结论,统一并推广了文献［5-9］的Reich型压缩映射的不动点定理。
     

带有广义导子的素环的交换性

R是中心为Z(R)的2-扭自由素环,f和g为R上的非零广义导子,d,h分别为f和g的非零伴随导子.若有(i)f(x)y=xg(y);(ii)f(xy)-xy∈Z;(iii)f(xy)-yx∈Z;(iv)f(x)f(y)-xy∈Z,则R是交换环.     

单侧条件下Liénard系统的调和解

研究了一类二阶微分方程x″+f(x)x′+g(x)=e(t)调和解的存在性.假设f(x)有界,g(X)满足新的单侧条件,即当x≥d时g(x)/x≥a,以及当x＜d时g(x)满足次线性条件或者有界,应用连续引理,得到了调和解的存在性定理.     

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。