线性变换与其导数增长性比较的一个注记

研究了超越亚纯函数的分式线性变换的特征函数与其导数的特征函数增长性的比较，并由Ｎｅｖａｎｌｉｎｎａ理论推导出一个定理，其主要结果为：Ｔ（ｒ，Ｆ）＜４０λλ－１ｌｏｇｅλλ－１Ｔ（λｒ，ｆ′）＋ｌｏｇ＋（λｒ）＋ｌｏｇ＋｜ｆ（０）｜＋５＋ｌｏｇ＋ａｄ＋ｌｏｇ＋ｂｄ＋ｌｏｇ２（ｃ＝０）Ｔ（ｒ，Ｆ）＜４０λλ－１ｌｏｇｅλλ－１Ｔ（λｒ，Ｆ′）＋ｌｏｇ＋（λｒ）＋ｌｏｇ＋｜Ｆ（０）｜＋５＋ｌｏｇ＋ａｄ－ｂｃｃ２＋ｌｏｇ＋ｄｃ＋ｌｏｇ２＋ｈ（ｒ）（ｃ≠０）     

中值定理的推广

得到了关于Ｄｉｎｉ导数的中值定理，并给出了它的一些应用，主要结果是：若（ａ，ｂ）上的连续函数ｆ除可列个点外，右上导数Ｄ＾＋ｆ（Ｘ）≤Ｍ，则有ｆ（ｂ）－ｆ（ａ）≤Ｍ（ｂ－ａ）。     

关于代数体函数的增长与其例外函数个数的关系

设ｆ（ｚ）为ｎ值的超越代数体函数，其级为λ（λ＞０）．证明了：如果ｆ（ｚ）具有ｎ＋１个Ｂｏｒｅｌ例外函数，则ｆ（ｚ）是正规增长的，级λ为正整数或无穷．如０＜λ＜∞且不为整数，记ｐ为ｆ（ｚ）的Ｂｏｒｅｌ例外函数个数，ｑ为ｆ（ｚ）的亏量等于１的Ｎｅｖａｎｌｉｎｎａ例外函数个数，则ｐ＋ｑ≤ｎ     

A(p)函数类上的积分算子

设ｐ为正整数,Ａ（ｐ）表示单位圆盘内形如ｆ（ｚ）＝ｚｐ＋∑∞ｋ＝ｐ＋１ａｋｚｋ的解析函数全体,对给定的复常数λ≠－ｐ,及ｆ（ｚ）∈Ａ（ｐ）,用Ｊλｆ（ｚ）＝ｐ＋λｚλ∫ｚ０ｆ（ｔ）ｔλ－１ｄｔ定义算子Ｊλ,本文讨论了Ａ（ｐ）函数类上的积分算子Ｊλ,得到了在一定条件下Ｊλｆ（ｚ）∈Ｒ（ｐ）ｎ（α     

C上全纯自映射的迭代序列的极限

设ｆ是Ｃ→Ｃ全纯映射，其中Ｃ＝Ｃ－（０），本讨论迭代序列（ｆ＾ｎ）在Ｆａｔｏｕ集Ｆ（ｆ）的连通分支上的极限函数的性质，证明了常数极限函数在集合Ｌ中，本还研究了一类特殊的Ｃ上全纯自映射ｆ（Ｚ）＝λｚｅ＾（ｚ＋１／ｚ）的动力系统的性质，证明了存在λ〉ｅ＾２√２，使得Ｊ（ｆλ）＝Ｃ。     

亚纯函数及其导数的亏量

对有限级亚纯函数ｆ（Ｚ）及其Ｋ阶导数的增长性作了比较，同时给出了ｆ（Ｚ）和ｆ（Ｋ）（Ｚ）的亏量的一些结果．     

二阶导数的中心差商

若ｆ（ｘ）ＤＲｎ→Ｒ,ｆ（ｘ）∈Ｃ２（Ｄ）．在工程技术中,经常需要计算ｆ（ｘ）的一阶导数和二阶导数．ｆ（ｘ）的二阶导数,即海色矩阵的近似计算,也为最优化计算方法的基础．ｆ（ｘ）在点ｘ∈ｉｎｔＤ内的一阶导数ｆ（ｘ）：ＤＲｎ→Ｒｎ．在数值微分中,?..     

H~p函数的平均增长

研究了Ｈｐ函数ｆ及其导数ｆ＇的平均增长，得到了ｆ与ｆ＇的平均模之间的关系，建立了Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ反向不等式．通过讨论面积函数Ａ（ｒ）与ｆ＇的关系，得到了Ｈｐ函数／的导数ｆ＇的平均模刻画，并完善了Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙ定理．     

一类分形插值函数的拟导数

本文讨论了由Ｍ．Ｆ．Ｂａｒｎｓｌｅｙ在［１］中引入的一类特殊的分形插值函数ｆ（ｘ）的拟导数问题，给出了ｆ（ｘ）的拟导数的计算方法．     

亚纯函数结合高阶导数的值分布

设ｆ为超越亚纯函数，本文考虑ｆ的多项式ｐ（ｆ）的高阶导数的Ｐｉｃａｒｄ例外值，另外，对于ｆ（ｆ＾ｋ）＾ｎ改进了ＴｓｅＣＫ和ＹａｎｇＣＣ的结果。     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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