关于两类具有拟共形扩张函数族的FitzGerald型不等式和Bazilevi不等式

本文证明了函数族S_(K,R)和∑_(K,r)的Fitz Gerald型不等式和Bazilevic不等式.主要建立了以下的定理。定理1 设f∈S_(K,R),{Z_μ|Z_μ|<1,μ=1,2,…,N},N=1,2,….令P_m(z)表示f(Z)的第m次Faber多项式, g_m~((τ))(Z)=P_m(1/f(Z))-(Z~(-n) (r/α_n)(?)~n) r=1,-1, 又若对于复数列{η_μ;μ=1,2,…,N},sum from n=μ:V=1 to N (α_(μV)η_μ(?)_V≥0) ,α_(μV)=(?)_(μV)则对于l>0, 有定理2 若f∈S_(K,R)且|Z|<1,则有对于F(ζ)∈∑_(k,r,)有类似的结果。     

关于一类亏函数的亏量和取最大值的亚纯函数

设f(z)是下级μ<∞的亚纯函数,a_i(z)是满足T(r,a_i)=0{T(r,f)}的亚纯函数,若??δ(a_i(z),f)=1;δ(∞,f)=1, 则a)f的级λ=μ,且为正整数; b)f的亏函数总数≤μ+1; c)每一个亏量为1/μ的整数倍; d)每一个亏函数都是f的渐近函数.     

关于一类亏函数的亏量和取最大值的亚纯函数

设 f(z)是下级μ<∞的亚纯函数,α_i(z)是满足 T(r,a_i)=0{T(r,f)}的亚纯函数,若(?)δ(a_i(z)),f)=1;δ(∞,f)=1,则 a),的级γ=μ,且为正整数;b)f 的亏函数总数≤μ+1;c)每一个亏量为1/μ的整数倍;d)每一个亏函数都是 f 的渐近函数。     

空间Lp(Γ,∑,μ)(1＜p＜∞)和Banach空间E的单位球面之间等距算子的延拓

文章得到以下结果(它改进了文献[16][18]中的一些结果):设E是一个赋范空间,V0是单位球面S(Lp(Γ,∑,μ))到单位球面S(E)内的等距映射.如果V0满足下列两个条件:(i)对于任意的自然数n,实数εk∈[-1,1]及xAk∈x(Γ),1≤k≤n,有‖n∑k=1ξkμ(At)1/pV0[xAt/μ(Ai)1/p]‖p=n∑k=1│ξk│pμ(Ai),(ii)对于任意的f1,f2∈S(Lp(Γ,∑,μ))和实数ξ1,ξ2∈[-1,1],有‖ξ1 V0(f1)+ξ2V0(f2)‖=1(→)│ξ1V0(f1)+ξ2V0(f2)∈V0[S(Lp(Γ,∑,μ)],那么V0可延拓为全空间Lp(Γ,∑,μ)上的等距线性算子.     

反函数具有极值个数直接超越奇点的亚纯函数的亏值

本文建立了如下结果:设 w=f(z)是一个下级为μ的亚纯函数,z=(w)为其反函数,具有 k(1≤k<∞)个判别直接超越奇点(α_i)i=1,2,…,k。如果 k=2μ,f(z)的亏值数目为 P,则当μ=0时,有 P≤1;当μ>0时,有 P≤2μ。     

具有两个分担值集的亚纯函数唯一性

证明了若f与g是两个非常数亚纯函数,满足E(S,f)=E(S,g)和E(∞,f)=E(∞,g),并且有λΘ(∞,f)+μΘ(∞,g)1/2,这里S={ωω7-42ω2+70ω-30=0},且λ+μ=1,λ,μ∈[0,1],则f≡g.     

勒襄特级数的一个性质

设μ为正常数。令■这里,当n→∞时,■则勒襄特级数sum from n=0 to ∞a_nP_n(z)=a_0 a_1P_1(z) … a_nP_n(z) …以E_μ为其收歛椭圆。在E_μ内令这个级数的和为f(z),并用f(z)表示从它所产生的完全解析函数。如果f(z)在E_μ上—点z_0处解析,则sum from n=0 to ∞a_nP_n(z)在点z_0处收歛。从此即可推出:如果sum from n=0 to ∞a_nP_n(z)在E_μ上一点z_0处发散,则点z_0必为f(z)的奇点。     

Uq(Sp(2n))-模同构R=Θ。~f。 P中Θ的简化

给出了Uq(sp(2n))-模同构R=Θ(°)(f)(°)P中Θ的一个简化表达式Θ',即Θ'=1⊕1+Σht(μ)≥2μ≠τ(μ)(q-1-q)Fμ⊕Eτ(μ)+Σht(μ)≥1(-1)ht(μ)(1-q-2)qμFμ⊕Eμ+Σμ=τ(μ) τμ≥α1(q-2-1)(1+qμ)Fμ⊕Eμ.     

齐型空间上加权平均振动的等价性

本文在Meyets,Campanoto及Cuerra.Lotkowski与Edward等人工作的基础上给出了齐型空间上的加权平均振动的Lipschtz条件的等价性,即: 条件∫_B|f(x)-f_B|g(x)dμ(x)≤C|B|F(B)(A) 等价于∫_B(|f(x)-f_B|g(x)),dμ(x)≤C|B|(F(B))~(p1)(B) (10,dv=gdμ∈D_∞及g~(-1)∈A,(dv)(1≤p<∞)|B|为X中开球B的μ测度,f_B=f_B.dv)函数F如正文所述.     

满亏量的Shah猜想

文[1]证明了亏量为1的 Shah 猜想.林群,戴崇基将亏值改为亏函数得到:定理A 设 f(x)是下级μ有限的整函数,α_i(z)(i=1,2…n,n<∞)为满足 T(r,α_i(z))=o(T(r,f))的整函数,如果 sum from i=1 to n δ(α_i(z),f)=1,则 (?)[T(r,f)/lo gM(r,f)]=1/π.本文在 f(z)是下级μ有限的亚纯函数的条件下推广了相应的结果.     

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.     

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.     

Jane Eyre——A Feminist In The 19th Century

In the 19th century the society was controlled by men, and women were just appendants of them, they had not any rights and freedom. But Jane was an exception, she showed some characteristics of early feminist. Jane showed her characteristics of feminism in three aspects: rebellion, equality, and independence. These characteristics were helpful to her success, and feminism is the only way out for women of that time.     

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