分担集合的正规亚纯函数

研究了涉及函数与其高阶导数分担集合的亚纯函数正规条件,利用Lohwater-Pommerenke定理和Zalcman-Pang引理以及Nevanlinna理论证明了如下结论,设S_1={a_1,a_2,a_3}和S_2={b1,b2}是由互异有限复数构成的集合,k≥2是一个正整数,f(z)是单位圆Δ内的亚纯函数,如果f(z)-a_i的零点重数都至少为k,i=1,2,3,且{z∈Δ|f(z)∈S_1}={z∈Δ|f~(k)(z)∈S_2},那么f(z)是Δ上的正规函数.     

分担集合的亚纯函数正规族

把亚纯函数正规族与分担值或分担集合结合起来考虑是亚纯函数正规族理论研究的重要课题。利用Nevanlinna理论研究一类涉及分担集合的亚纯函数族的正规性,主要证明了如下的结论:设F={f(z)}是区域D内的一亚纯函数族,a,b,c是三个相互判别的有穷复数,S={a,b},A为有穷正数,如果对于任意的f(z)∈F,有f(z)-c的零点重级至少为1,且满足两个条件:(ⅰ)E_f'(S)?E_f(S),(ⅱ)当f(z)=c时,有|f'(z)|≤A且0 |f″(z)|≤A,则F在区域D内正规。     

涉及高阶导数分担值的亚纯函数正规族

<正>规族理论的发展经历了利用Nevanlinna值分布理论和L.Zalcman引理简化许多通过大量消去原始值而得到正规定则证明的过程,同时也建立了一系列新的正规定则。把亚纯函数正规族与分担值或分担集合结合起来考虑是亚纯函数正规族理论研究的一个重要课题。目前正规族的相关理论在复动力系统、复微分方程、模分布和整函数唯一性等方面都有着重要的应用。文章主要探讨了亚纯函数的值分布理论,利用L.Zalcman引理研究了一类涉及高阶导数分担值的亚纯函数族的正规性问题,推广并改进了已有的结果。主要结果为:设F是区域D上的一亚纯函数族,k为正整数,a为非零有穷复数,若对任意的f(z)∈F,有f(z)-a的零点重级至少为k+1,且f(z),f~(k)(z)与f~(k+1)(z)IM分担a,则F在D上正规。     

分担值与正规性

设F是单位圆D={z:|z|＜1}上的一族亚纯函数,a,b是两个互异的非零有限复数如果对于任意的f∈F,f和f'IM分担a,且对于任意的z0∈D,-N(z0,r,1/f) -N(z0,r,1/f1-b) ＜λT(z0,r,f)其中0＜λ＜1/3,则F在D上正规.     

分担值与正规族

研究了与分担值有关的亚纯函数的正规性,并得到了相关的正规定则。正规族的理论是与函数取值的问题紧密地联系在一起,把亚纯函数正规族与分担值或分担函数结合起来考虑是亚纯函数正规族理论研究的一个重要课题。目前正规族理论在亚纯函数的唯一性、复解析动力系统和复微分方程等方面有着许多应用。利用Nevanlinna理论研究一类涉及分担值的亚纯函数族的正规性,应用Zalcman-Pang方法得到一个与分担值相关的正规定则。主要结果为:设F是单位圆盘Δ上的一族亚纯函数,a和b是任意两个非零有穷复数,k为正整数,若对任一f(z)∈F,有f(z)的零点重级至少为k+1,极点重级至少为2,且f~(k)(z)=a■|f(z)|≥b,则F在Δ上正规。     

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.     

涉及齐次微分多项式的整函数族的正规定则

作者证明了以下命题:设F={f}为整函数族,每个函数f∈F,f的零点重数至少为k.又a1(z),a2(z),…,ak(z)为k个整函数.记h(z)=f(k)(z)+a1(z)f(k-1)(z)+…+ak(z)f(z).则若对于区域D内任意点z,有h(z)≠0,|h(z)|<1,且复合函数族{h(f(z))|f(z)∈F}在区域D内正规,则整函数族F在D内正规,并得到涉及齐次微分多项式的整函数族相应的正规定则,推广了已有结果.     

微分多项式分担集合的亚纯函数正规定则

 研究涉及微分多项式分担集合的亚纯函数的正规性问题。设k≥2是正整数,F为区域D的一族亚纯函数, 其所有零点重级至少为k;a,b和c是复数,且a≠b,c≠0。如果对于F中的任意一对函数f(z)和g(z),有f与g分担c, 且L(f)与L(g)分担集合S={a,b}, 则F在D内正规。     

涉及分担值的两个亚纯函数族的正规定则

讨论2个亚纯函数族涉及分担值的正规性,证明如下结论:设F和G为区域D上的2个亚纯函数族,a1,a2,a3为3个互不相同的复数,k≥1,l≥0为整数.若亚纯函数族G正规,且对G的任意子列gn(z),有gn→g,且g■∞;若对任意的f∈F,零点重数大于等于k+1,且存在g∈G,使得f(k)(z)和g(l)(z)分担a1,a2,a3,则F在D上正规.     

关于分担集合的亚纯函数的正规族

研究了关于分担集合的亚纯函数的正规族，证明了：设F是单位圆盘△上的亚纯函数族，α，6是两个不同的非零复数，S={α，6}，如果对任一f∈F，f的零点是重级的，-↑Ef(S)=-↑Ef′(S)，则F在△上正规．相应的正规函数的结论也得到了证明。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that