整函数增长的级

1我们看到（在第VI章），整函数表示为一个无穷乘积：函数M(r)是正的并且是递增的函数,不等式(2)以及前面的命题表示G(z)是超越函数,它的增长是相当快的.我们规定这个表达式(2)与每一个整函数G(z)所确定的一个实的和正的函数M(r)相对应,这个函数M(r)描述G(z)的增长.     

关于超越整函数的一个性质

利用整函数f(Z)在圆|Z|=r上最大模M(r)的一个性质及Hadamard三圆定理,证明了超越整函数不同于多项式的一个新牲,即lim r→∞ M(r)/M(kr)=0,其中k＞1.     

p(P)-级整函数与ρ(P)-级亚纯函数的一些结果

本文对ρ(P)一级整函数及亚纯函数进行了讨论,结果如下。一、定义定义1:e_0=ln_0r=r,e~r=e~e(?),el=ln r,ln_nr=ln(In(?)).定义2:设f(z)是一个不恒为常数的整函数,P是正整数,M(r)=max|f(z)|,令|z|=r     

关于整函数一个性质的注记

讨论了整函数一个重要性质．设f（z）是一个不恒等于零的整函数,如果存在正常数r,M以及正整数七使得关系式Rf（z）≤M｜z｜^k对所有满足｜z｜〉r的z都成立,则f（z）是至多为k次的多项式．并从该性质出发讨论了关于整函数的若干其他结果．     

关于整函数一个性质的注记

讨论了整函数一个重要性质．设厂（z）是一个不恒等于零的整函数,如果存在正常数r,M以及正整数k使得关系式Rf（z）≤M｜z｜^k对所有满足｜z｜＞r的Z都成立,则f（z）是至多为k次的多项式．并从该性质出发讨论了关于整函数的若干其他结果．     

下级有穷整函数的一个缺项定理

研究Taylor展式有缺项的整函数的一个重要性质:设f(x)是一个下级有穷整函数.记M(r)=max/│z│=r│f(x)│,L(r)=min/│z│=r│f(x)│,若f(x)=1+∞/∑/n=1cnxλn 的残存指数序列λn(n=1,2,…)满足λn≥n(logn)(lon2n)1+η>0,则-/lim/r→∞logL(r)/logM(r)=1.     

关于渐近函数的讨论

本文得到以下结果:设a_i(z)(i=1,2,…,k)是级<1/4的不同的整函数,满足(?)[f(z)-a_i(z)]=0,L_i(i=1,2,…,k)是连续的无究路径,则(?)M(r,f)/r~(k/2)>0其中M(r,f)=(?){|f(z)|}     

关于凸像函数和星像函数的偏差定理和系数

§1.引言 设w=f(z)=z+a_2z~2+……这个函数在单位圆|z|<1中是正则单叶的,它把单位圆照相成一个凸区域,那末函数f(z)叫做凸像函数。这种函数显然要满足条件 设w=f(z)=z+a_2z~2+……这个函数在单位圆|z|<1中是正则单叶的,对于任何rε(0,1),它把圆|z|=r照相成这样一个闭曲线,它包含点w=0,并且与每一条通过点w=0的直线相交成一个线段,那末函数f(z)叫做星像函数,这种函数显然要满足条件     

整函数与亚纯函数的复合函数的增长性

文中假设f(z)为超越亚纯函数,g(z)为超越整函数,本文所讨论的问题是函数f(g(z))的增长性,主要结果如下: 定理1 f(z),g(z)如上,则当r>r_0=r_0(f,g)时, T(r,f(g))≤AT{BM(2r,g),f}log M(2r,g),其中A>0,B>0为常数。 定理2 若 g(z)的级为有穷,则对任何δ,0 <δ<1,存在r_0使当 r>r_0时 T(r,f(g))>AT{M(r~δ,g),f}/logM(r~δ,g)其中A>0为一个常数。     

一类整函数的最大模函数与特征函数的关系

设 f(z)是下级为μ(μ<+∞)的整函数,满足∑_(a≠∞)δ(a,f)=1.1976年 S.M.Shah 猜测对这一类函数,关系式 (T(r,f))/(log M(r,f))=1/π成立,本文证明了这一猜测。     

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