整函数及其线性微分多项式的公共函数

设f是整函数．如果f与其线性微分多项式L(f)具有两个IM非零公共小函数，那么能得到一个一般关系式．从而解决了李平与杨重骏的猜测．     

涉及公共值的正规性定理

讨论涉及一个公共值的全纯函数族的正规性问题，得到了：设F为区域G上的全纯函数族，a为有穷非零复数，m为一正整数，若对任意的f∈F,a为f与f′在G上的CM公共值，且当f(Z）=a时，f^(m 1)(z)=a，则F在G中正规。本结果改进了先前的有关定理，同时，其证明方法与已有的方法不同。     

以权1分担两个公共值集的亚纯函数

研究了亚纯函数以权1分担两个公共值集的唯一性问题,设S={ω∈C;aωn-n(n-1)ω2+2n(n-2)bω-(n-1)(n-2)b2=0},其中a,b为两个非零复数,且满足abn-2≠2,如果n≥11,f和g以权1分担S,E—(∞,f)=E—(∞,g),则f≡g.     

亚纯函数及其导数分担一个IM公共值

研究了亚纯函数f及其导数f′分担一个公共值的唯一性问题,当f和f′分担1I M时,若满足3N 〔r,1/f′〕+3N(r,f)+N(2〔r,1/f′-1〕(λ+o(1))T(r),得到f≡f′或f.f′≡1,改进了Gundersen的定理:设f是非常数的整函数,如果f和f′分担1CM,且N〔r,1/f′〕=S(r,f),则f′-1/f-1≡c,其中c为非零的常数.     

关于fPn[f(k)]-c的零点

讨论fP”[f(k)]的值分布问题,其中f为超越亚纯函数,证明了在适当条件下fPn[f(k)]取任意非零有穷复数无穷多次.     

亚纯函数与其导数的唯一性

讨论了亚纯函数f与f′之间的关系，得出了如下结果：设a，b为f与f′的两个有穷非零的IM公共值，则当∑a≠a，bδ(a，f)＞1/2时，f≡f′。     

一类差分多项式的Picard型定理

本文利用值分布论作为工具得到以下结论:令f(z)为一个有限级超越整函数,c_1,c_2为两非零复常数并使得f(z+c_1)≠f(z+c_2),q(z)为非零多项式,则f(z)Δf_(c_1)(z)-q(z)和f(z)Δf_(c_2)(z)-q(z)两者中至少有一个具有无限多个零点.     

正规族与Picard值

文章的主要结果:设F是区域D内的亚纯函数族且k(kE 2),n是正整数,任意f∈F都有f k与(f k)'分担非零复数a,则F在D内正规.同时还研究了f n af(k)的值分布.     

导函数具有最大亏量和的亚纯函数

设 f(z)是一下级μ有穷的亚纯函数。如对一正整数k则这里是的非零有穷亏值数,f~((0))=f 当 j 为负整数时,f~((f))是 f 的|j|次原函数(若存在)。     

亚纯函数及其导函数的渐近值

定理设f(z)是下级μ有穷的亚纯函数,P_4是f~(i)(z)的非零有穷亏值数,而f~(0)(z)=f(z);当i为负整数时,f~(i)(z)为f(z)的(i)次原函数(若存在的话).若对某一正整数k, ??和?? 则f~((i))(z)(i=0,±1,±2,…)的所有有穷非零亏值都分别为它们的渐近值.     

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.     

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.     

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     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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