某些平面近似三角部分图的带宽问题

Ｒ．Ｈｏｃｈｂｅｒｇ等给出一种技巧去求任意平面图带宽的一个下界，并使用这种技巧证明了具有边长ｌ的三角部分三角形Ｔｌ有带宽ｌ＋１，在此基础上做了以下工作：１）外界面为正六边形，其边长为ｌ的平面近似三角部分图Ｔｌ的符合某种条件的子图的带宽界为，＋１≤Ｂ（Ｔ＾（ｓ）ｌ≤ｍ＋２；３）外界面为正方形，其边长为ｌ的平面近似三角剖分图满足某种条件，外界面为五边形的平面近似三角剖分图的带宽为ｌ＋１。     

简单平面三角剖分图中各生成两部子图的最大次

讨论了简单平面三角剖分图中各生成两部子图的最大次的取值范围,否定了郁星星提出的生成两部子图最大次的上界为常数的猜想,并且得到了下面的主要结果。（１）设Ｇ是简单平面三角剖分图,当ｎ＝３时,ａ０（Ｇ）＝１;当ｎ＝４时,ａ０（Ｇ）＝ａ１（Ｇ）＝ａ２（Ｇ）＝１;当ｎ≥５时,有２≤ａ０（Ｇ）≤ａ１（Ｇ）≤ａ２（Ｇ）≤「△（Ｇ）／」,且下界ａ０（Ｇ）－２能达到。⑵若ｌ是不小于３的整数,则（ａ）存在简单平面三角     

一类具有二阶细焦点的二次系统

对如下一类具有二阶细焦点的二次系统进行了研究， ｄｘ／ｄｔ＝－６＋ａｘ＾２， ｄｙ／ｄｔ＝ｘ＋ｌｘ＾２＋ｍｘｙ＋ｎｙ＾２，其中ｗ１＝－２ａｌ－ｍ（ｌ＋ｎ）＝０，ｗ２＝ａ（２ａ＋ｍ）（３ａ－ｍ０［ｎ（ｌ＋ｎ）＾２－ａ＾２（ａｌ＋ｎ）］≠０。证明了当－１＜ｌ／ｎ≤时，系统（１）在０外围     

波前法在工程中的合理使用

用有限法分析工程问题，常归结为求解大型稀疏线性方程组，而波前法是一种非 常有效的方法。为使波宽最小，单元编号应遵循ａ．平面问题 须沿单元数较少的方 向顺序排列；ｂ．空间问题 须沿其中两维单元数乘积最小的方向顺序排列。相应波宽 的计算公式为 平面４结点 Ｗｄ＝２ｎ＋６；平面８结点 Ｗｄ＝４（ｎ＋３） 空间８结点 Ｗｄ＝［（ｍ十２）（ｎ＋１）＋２］·Ｎｆ 空间２０结点 Ｗｄ＝［（２ｎ＋１）（ｍ＋２）十（ｎ＋１）（ｍ十１）十η］·Ｎｆ     

非均匀（Ⅱ）型三角剖分下双周期二次样条空间S_2~1（△_（mn）~（2））

设Ω＝［０，Ｘｍ］　［０，ｙｎ」，Ω的熟知的非均匀（Ⅰ）、（Ⅱ）型三角剖分分别记为△ｍｎ（ｉ），ｉ＝１，２．△ｍｎ（ｉ）上的分片二元ｋ次Ｃ１多项式的全体记为Ｓ２１（△ｍｎ（ｉ）），称为二元ｋ次一阶光滑的样条函数空间．进一步，引入其子空间Ｓ２１（△ｍｎ（ｉ））＝｛ｓ∈Ｓ２１（△ｍｎ（ｉ））：Ｄａｓ（·，０）＝Ｄａｓ（·，ｙｎ），Ｄａｓ（０，·）＝Ｄａｓ（Ｘｍ，·），ａ＝０，１｝．称为双周期ｋ次样条空间．本文给出了Ω的非均匀（Ⅱ）型三角剖分△ｍｎ（２）下双周期二次样条空间Ｓ２１（△ｍｎ（２））的维数及一组基底．     

循环图带宽的上界

给出了连通循环图Ｇ＝Ｃｎ〈ｊ１,ｊ２,…,ｊｒ〉带宽Ｂ（Ｇ）的上界,即Ｂ（Ｇ）≤２ｊｒ,并研究得到了四度连通循环图Ｇ１＝Ｃｍ１ｍ２〈ｋ１ｍ１,ｋ２ｍ２〉的带宽Ｂ（Ｇ１）＝２ｍｉｎ（ｍ１,ｍ２）（ｍ１＝ｇｃｄ（ｍ１ｍ２,ｊ１）,ｍ２＝ｇｃｄ（ｍ１ｍ２,ｊ２））,及五度连通循环图Ｇ２＝Ｃｍ１ｍ２〈ｊ１,ｊ２,ｍ１ｍ２／２〉的带宽Ｂ（Ｇ２）＝４ｍｉｎ（ｍ１,ｍ２）（２ｍ１＝ｇｃｄ（ｍ１ｍ２,ｊ１）,２ｍ２＝ｇｃｄ（ｍ１ｍ２,ｊ２））．     

一类OF图及其泛连通性

设Ｇ为ｎ阶连通图，且对Ｇ中任一对距离为２的顶点ｕ、ｖ，有ｄ（ｕ）＋ｄ（ｖ）≥ｎ，则称Ｇ为ＯＦ图．本文讨论了ＯＦ图的泛连通性，主要得到下列结果：设Ｇ为ｎ阶ＯＦ图，则Ｇ为下列三类图之一：（１）Ｇ是［５ｎ］－泛连通图（２）Ｈ＋；（３）Ｋｍ＃Ｋｎ－ｍ＋２及其部分支撑子图，其中３≤ｍ≤ｎ－１，｜Ｖ（Ｈ）｜＝．     

几类图的伴随多项式的整除性特征

用Ｐｎ和Ｃｎ依次表示有ｎ个顶点的路和圈．Ｄｎ表示Ｋ３的一个顶点与Ｐｎ－２的一个１度点重迭后得到的图．Ｔ（ｌ，ｍ，ｎ）表示度序列是（１，１，１，２，２，……，２，３）的树，其中ｌ，ｍ，ｎ分别是从它的唯一３度点到３个１度点的３条路的长．图Ｇ的伴随多项式记为ｈ（Ｇ，ｘ），本文证明了当Ｇ＝Ｐｎ，Ｃｎ，Ｄｎ，Ｔ（１，１，ｎ），Ｔ（１，２，ｎ），Ｔ（１，３，ｎ），Ｔ（１，４，ｎ）时，ｈ（Ｇ，ｘ）能被ｈ（Ｐｍ，ｘ）（ｍ≥２）整除的充要条件．     

T形树－T（1，m，n）的伴随多次式

具有度序列（１，１，１，２，２，…，２，３）的树称为Ｔ形树。令Ｔ（ｌ，ｍ，ｎ）表示一棵Ｔ形树，从它的唯一３度点到三个１度点的三条路的长分别为ｌ，ｍ，ｎ，（ｉ≤ｌ≤ｍ≤ｎ），本文给出并证明了Ｔ形树－Ｔ（１，ｍ，ｎ）的伴随多项式的数学表达式     

一个关于2—连通图周长的次条件

设Ｇ为ｎ阶２－连通图，顶点ｖ１，ｖ２，…，ｖｎ满足ｄ≤ｄ２≤…≤ｄｎ，其中ｄｉ＝ｄ９ｖｉ），ｉ＝１，２，…，ｎ。给出ｃ（Ｇ）≥ｍｉｎ「ｎ，ｍ」的如下条件：ｊ〈ｋ，ｖｊｖｋ∈Ｅ，Ｊ＋Ｋ〈ｍ，ｄＪ≤Ｊ，Ｄｋ＋１≤ｋｄ（ｖ），ｄ（ｕ）≤Ｊ（其中Ｊ＝ｄ（ｖｊ），Ｋ＝ｄ９ｖｋ））｝→ｄｉｓｔ（ｖ，ｕ）≠２。     

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