具平坦欧氏边界的局部凸浸入超曲面（英文）

在仿射微分几何中，局部强(一致)凸的浸入超曲面的几何与拓扑性质非常复杂.本文构造出一类新的局部强凸的浸入超曲面，其欧氏边界是平坦的(即边界落在一个超平面内)，但曲面本身却不是整体凸的.这与目前已有的结论完全不同.     

具有平行Simon 3-形式的局部强凸相对球

仿射微分几何中的一类重要问题是分类具有平行3-形式的超曲面.超曲面的Simon 3-形式是独立于仿射法化的几何量,是3-形式的无迹部分.运用相对微分几何的基本方程,选取局部强凸仿射超曲面的特殊幺正标架,研究了具有平行Simon 3-形式的局部强凸相对球的3-形式沿最大值方向的特征值分布以及相应的特征空间分解.证明了:具有平行Simon 3-形式的局部强凸相对球要么为二次超曲面,要么具有平行的3-形式.该结果推广了中心仿射法化情形下的相关工作.     

欧氏空间中超曲面上的渐近曲线

由三维欧氏空间中的局部微分几何知,曲面上的渐近曲线有许多有趣的性质,其中有两个性质:1~0曲面∑上一条曲线Г既是曲率线又是渐近曲线的充要条件是:Г是一条平面曲线,而且它所在平面沿着Г和∑相切;2~0设Г为∑上一条异于直线的渐近曲线,则Г为∑上曲率线的一个充要条件是:Г为平面曲线.本文将这两条性质推广到n+1维欧氏空间中的超曲面上去,得到与这两条性质完全类似的两个定理.在证明这两个定理之前,先引进三个引理.     

矩形域上B－B曲面的凸性与强凸自然网的升阶不变性

矩形域上Ｂｅｒｎｓｔｅｉｎ－Ｂｅｚｉｅｒ曲面（简称Ｂ－Ｂ曲面）的凸性问题是ＣＡＧＤ（计算机辅助几何设计）中人们关注的热点之一．曲面的凸性与它的控制网的凸性有密切的关系，但是在矩形域上其Ｂ－网该如何定义一直得不到很好的解决．本文提出了一种新的网──自然网的概念，并且证明了强凸的自然网具有升阶不变性．     

关于K-强凸空间

进一步研究了Ｋ－强凸空间的几何性质,证明了光滑的Ｋ－强光滑空间是强光滑的;严格凸的Ｋ－强凸空间是强凸的;若Ｘ是Ｋ－强凸空间,则Ｘ具有（Ｋ）性质,进而严格凸的Ｋ－强凸空间具有（Ｇ）性质;若Ｘ是ＬωＲ（ＬＫＲ）空间,则Ｘ是强凸空间．所得到的结果推广了已有的一些结果     

F-完备抛物仿射超球的Bernstein性质（英文）

设x:M→R~(n+1)是局部强凸超曲面,由定义在凸域DR~n上的局部强凸函数x~(n+1)=f(x_1,x_2,…,x_n)给出.本文在M上定义F-度量G=F(ρ)∑i,j,~2 f/x_ix_jdx_idx_j,研究F-完备抛物仿射超球并得到了相应的Bernstein性质.     

中心仿射度量的两类具有常截面曲率的闭凸超曲面

本文主要研究Minkowski空间的Laugwitz猜测.首先给出了参数化超曲面的中心仿射几何的直接描述，在此基础上刻画了Minkowski空间黎曼几何与其单位超球面的中心仿射几何的关系，将Laugwitz猜测等价描述为：闭凸超曲面的中心仿射几何截面曲率为常数必为椭球面的刚性问题.然后建立了超曲面中心仿射几何量与欧氏几何量的联系，由此说明欧氏空间凸超曲面n+1-仿射表面积正是该超曲面的中心仿射体积，进而运用关于仿射表面积的等周不等式及其取得等号的几何条件给出了Schneider定理的新证明.最后研究了Simon 3-形式模长的Laplace在常截面曲率条件下的表达式，应用极大值原理证明了具有常截面曲率且具有平行无迹Tchebychev算子的闭凸超曲面具有消失的Simon 3-形式，再根据结构方程证明了该超曲面为中心在原点的椭球面.     

拟常曲率Riemann流形中的全脐超曲面

本文研究拟常曲率Riemann流形中的浸入超曲面,得到超曲面成为全脐的两个局部结果和一个整体性定理。     

置换空间PXXn中几种凸性的提升

主要研究强凸、非常凸等性质从Ｂａｎａｃｈ空间Ｘｎ到ＰＸＸｎ的提升问题,证明了当Ｘ是局部一致凸空间时,空间ＰＸＸｎ是强凸（非常凸或近强凸）当且仅当每个Ｘｎ都是强凸（非常凸或近强凸）。     

Banach空间一些凸性等价的条件

证明了若Ｘ是自反的强光滑空间，则Ｘ是（ＨＲ）当且仅当Ｘ是局部的一致凸的；若Ｂａｎａｃｈ空间Ｘ具有（）性质，则Ｘ是强凸的当且仅当Ｘ是局部的一致凸的     

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