光滑流形上奇异积分的反转公式

作者[2]曾利用闭光滑流形和特征流形上具有Bochner-Martinelli核的奇异积分的Poincare-Beitrand置换公式得到合成公式(参阅[6]、[5]、[3]),从而得到了闭光滑流形和特征流形上具有Bochner-Martinelli核的奇异积分的反转公式;本文则利用陆启铿和作者[1][4]所得到的由闭光滑流形所围成的域和域的拓扑积上的具有Bochner-Martinelli核的Cauchy型积分在闭光滑流形和特征流形上的极限值的公式直接得到闭光滑流形和特征流形上奇异积分的反转公式. 由于合成公式和反转公式是等价的,所以本文实际上给出了合成公式的另一简洁证明.     

Stein流形上的奇异积分方程

文中对积分密度加上适当条件后,应用Stein流形M上具B-M核的B-M型积分的Plemelj公式得到具B-M核的奇异积分的合成公式,应用它讨论了定义在一相对紧区域D的边界上的一类常系数线性奇异积分方程的解。     

C~n空间中无界域的光滑边界上的奇异积分和奇异积分方程

对C~n空间中的有界域有著名的Bochner Martinelli积分表示,对肋界域的光滑边界上具有B-M核的奇异积分和奇异积分方程,陆启铿、钟同德和孙继广等进行了系统的研究,1974年。将B M核作了拓广,从而将BochnerMartinelli积分表示拓广到无界域的情形,本文则将闭光滑流形上具B M核的奇异积     

R^n空间中闭光滑流形上的线性奇异积分方程

本文给出了高斯奇异积分的合成和反演公式,并且证明了R~n空间中闭光滑流形上的线性奇异积分方程的有关结果。     

闭光滑流形上具有拓广的Bochner-Martinelli 核的奇异积分的置换公式

利用拓广的Bochner Martinelli型积分的Plemelj公式,得到了闭光滑流形上具有拓广的Bochner Martinelli核的奇异积分的置换公式,并且当密度函数可全纯开拓到区域D内时,证明了相应的合成公式.     

光滑流形上的奇异积分方程

本文利用作者所得到的关于具有Bochner-Martinelli核的Cauchy型积分的一些结果,建立了光滑流形上的一类常系数奇异积分方程和方程组的理论。     

闭光滑流形上一类带拓广的B-M核的高阶奇异积分方程

根据文献[1]在Cn中闭光滑可定向流形上定义的一个带有拓广的B-M核的高阶Cauchy型积分φ(z)以及φ(z)在Hadamard主值[2]意义下的Plemelj公式[2],在Hadamard主值意义下给出高阶奇异积分φ(t)的有限部分的合成公式;然后通过合成公式讨论了相应的一类高阶奇异积分方程。     

特征流形上奇异积分方程的正则化

本文讨论特征流形上奇异积分方程的正则化问题,主要工具是[3]中所得到的特征:流形上奇异积分的置换么式和[1]中关于奇异积分的估计式。本文沿用[1][2][3][4]中惯用的定义和记号。     

复超球拓扑积域上一类常系数奇异积分方程

利用2个复超球拓扑积上的B型和h型积分及2组复合奇异算子之间的关系,研究了在2个复超球拓扑积域特征流形上的一类具有常系数的奇异积分方程,得到了关于这类方程的一般解法：先将其转化成与之等价的Fredholm方程,然后进行求解并得到了解的一般表达式．最后讨论了奇异积分方程的几种特例情形．     

具有非退化Weil多面体核的奇异积分方程

文中应用非退化Weil多面体积表示的C-Plemelj公式证明该奇异积分的置换公式并研究奇异积分方程,证明具非退化Weil核的变系数奇异积分方程可化成Fredholm型方程,而相应的常系数奇异积分方程与Fredholm方程等价且其特征方程在H类中有唯一解。     

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