渐近共形曲线的调和测度刻画

利用调和测度对渐近共形曲线进行刻画,给出了一个有界闭Jordan曲线γ为渐近共形曲线的充要条件:该曲线γ的两个连通分支D,D~*都是调和测度渐近加倍区域.     

调和测度

“调和”这个概念在数学中有多种意义，本书所讲的调和测度来源于解偏微分方程有关Laplace方程的Dirichlet问题。Dirichlet问题的解称为调和函数，如果它在边界上等于给定的函数。最简单的情形是平面区域，可以定义区域边界的子集在某点的调和测度来解决系列单复变函数和位势理论的问题。这样，调和测度成为重要的理论工具。近20多年，在这方面有突破性进展，本书就是介绍这些进展的专著。     

紧区域边界上的调和平均测度

引入调和空间上相对紧的、连通且为开的可解集之边界上的调和平均测度的概念．特别设Ｄ为Ｊｏｒｄａｎ区域，其边界Γ是可求长的．若设ｖζ是Γ在处的内法向、是Ｄ的Ｇｒｅｅｎ函数、而是将Ｄ共形映上单位圆盘的映照，则为Γ上的调和平均测度．借助于的共形不变性，证明了Ｄ上的Ｈｐ（Ｄ）空间元素在边界Γ上的非切边界值形成Γ上函数空间的Ｌｐ空间．而且，对每个，存在唯一使得     

调和K-拟共形映照下Heinz不等式的精确估计

设w=P［F］(z)为单位圆到自身上的调和拟共形映照,满足w(0)=0,其中F(exp(it))=exp(iγ(t))为边界函数. 利用调和测度的拟不变性得到边界函数的一个偏差估计,进而利用改进的Hübner不等式得到调和拟共形映照下Heinz不等式的一个精确估计.     

单叶调和映射的Qp-拟共形延拓

利用拟共形映射与单叶函数的性质，在单位圆盘内的一个保向局部单叶调和映射能拟共形延拓至全平面且复伸缩商满足p-Carleson测度的条件下，得到了关于Pre-Schwarzian导数与Schwarzian导数的一些等价关系，推广了调和映射的强拟共形延拓的相关结果。     

调和Bézier曲面间的连续性条件

研究了两个双n次调和Bézier曲面在其公共边界上C~1连续时,其控制顶点之间的关系.结果表明,当两个双n次调和Bézier曲面在公共边界上满足C~r(r≥1)连续性条件时,两个双n次调和Bézier曲面片来自于同一张曲面.     

L~2(μ_(p/8))空间中的最大正交指数函数系

研究由具有一个参数紧支撑的博雷尔概率测度族构成的调和分析中的伯努利测度μλ(λ∈(0,1))的性质.针对给定的λ,考虑在Lμ2λ空间中的正交指数函数系的最大化与极大化.通过对Γ和μλ零点的分析,证明E(pΓ(1/8))(p是奇数)是L2μ8p空间的最大正交指数函数系.     

关于可能性测度的扩张

本文讨论可能性测度的扩张理论。首先,我们引入了分别称之为ECP—系,CP—系的集类 B、B,并证明了文献中引入的一个集类D的所有原子族A[D]是它们的特款。进一步,我们证明了可能性测度B(分别地,B)到U(B)(分别地,由B生成的广域或拓扑)上的扩张定理。     

具有势函数的拟-F-调和映射的若干结果

引入了从光滑度量测度空间(M,g,e-φ(x)dvg)到黎曼流形中具有势函数的(弱)拟-F-调和映射的概念.在H和Bakry-mery Ricci张量的条件下,利用应力-能量张量证明了上述映射的刘维尔型定理.     

关于λ—Fuzzy测度和λ—Fuzzy积分收敛定理

由M·Sugeno提出的一种带参数λ的Fuzzy测度g_λ,被称为λ—Fuzzy测度,用这种测度产生的Fuzzy积分被称为λ—Fuzzy积分。本文研究λ-Fuzzy积分的收斂定理。主要结果有,如果被积函数f_n(x)依测度g_λ收斂于函数f(x),则f_n(x)关于g_λ测度的积分值也收斂于f(x)关于g_λ测度的积分值。对λ-Fuzzy测度g_λ,所得结果为g_λ(A-B)=g_λ(A)-g_λ(AB)/1+λg_λ(AB)其中A,B是б—代数κ中的任意两个集合,推广了原有的要求B(?)A的相应结果。     

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.     

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