关于有理系数微分方程的复振荡理论

证明了：如果Ｂｋ－ｊ（ｊ＝１,…,ｋ）为有理函数,在。点有ｎｋ－ｊ（＞０）阶极点,存在某个Ｂｋ－ｓ（１≤ ｓ ≤ ｋ）满足：当ｊ≠ ｓ时,有ｎｋ－ｊ／ｊ＜ｎｋ－ｓ／ｓ．假设Ｆ（ｚ）０为亚纯函数,且λ（１／Ｆ）＜σ（Ｆ）＝β＝（ｎｋ－ｓ＋ｓ）／ｓ．如果微分方程ｆ（ｋ）＋ Ｂｋ－１ｆ（ｋ－１）＋…＋ Ｂ０ｆ＝ Ｆ的所有解为亚纯函数,则每个解／满足σ（ｆ）＝（ｎｋ－ｓ＋ｓ）／ｓ．     

用G—L理论计算磁在Josephson隧道结中的穿透深度

该文用Ｇ－Ｌ理论计算得出磁场在Ｊｐｓｅｐｈｓｏｎ隧道结中的穿透深度值为λｊ＝」ｍｃ＾２／８πｅ＾２ ξ＾２００．７４＾２／ρ０ｃｏｓ（γ２－γ１）／２Ｔｃ／（ｄ＾２－ｘ＾２）（Ｔｃ－Ｔ０」＾１／２这一结果表明λｊ与空间位置Ｘ有关。     

H2n＋1上一类非齐次不变微分算子的显式基本解

用随机分析方法，构造了Ｈｅｉｓｅｎｂｅｒｇ群Ｈ２ｎ＋１上一类二阶非齐次不变微分算子Ｐ的显式基本解，并讨论了Ｐ的亚椭圆性和局部可解性．这里Ｐ＝１２２ｎｊ，ｋ＝１ａｊｋＮｊＮｋ＋２ｎｊ＝１ｃｊＮｊ＋γＴ．其中：Ａ＝（ａｊｋ）２ｎ×２ｎ是对称正定矩阵，ｃｊ（ｊ＝１，２，…，２ｎ），γ是满足一定条件的复数．约定Ｎｊ＝Ｌｊ，Ｎｊ＋ｎ＝Ｍｊ，ｊ＝１，２，…，ｎ．其中：Ｌ１，Ｌ２，…，Ｌｎ，Ｍ１，Ｍ２，…，Ｍｎ，Ｔ是Ｈ２ｎ＋１的左不变向量场．     

单台机器速度可选择的排序问题

研究一类单台机器具有速度可选择约束的排序问题。引进了有关记号，给出了该问题解的概念。ｍ＝１的情形问题１｜ｓｐｅ．｜ΣＣ＿ｊ和问题１｜ｓｐｅ．｜Σｗ＿ｊＣ＿ｉ具有多项式时间算法，即为所谓的Ｐ问题，但对ｍ为一般情形其计算复杂性尚未解决。     

一类孤子族的Lax表示

对一类特征值问题定义映射σ给出一个Ｌａｘ对Ｕ，Ｖｍ，其相应的Ｌｅｎａｒｄ序列Ｋξｊ－１＝Ｊξｊ不含逆微分算子－１，可显式求出线性表示的通解ξｍ＝Σｃｓｇｍ－ｓ，从而得到了一类显式表示的孤子族αｔｍ＝Ｘｍ．     

关于一个组合型Bernstein多项式的逼近阶

以Ｊａｃｏｂｉ多项式的零点作为插值的节点,构造了一个组合型的Ｂｅｒｎｓｔｅｉｎ多项式算子Ｃｎ（ｆ,ｘ）．若ｆ（ｘ）∈Ｃｊ［－１,１］,０≤ｊ≤５,则Ｃｎ（ｆ,ｘ）对ｆ（ｘ）的逼近程度均达到最佳。即｜Ｃｎ（ｆ,ｘ）－ｆ（ｘ）｜＝Ｏ１ｎｊ＋１＋１ｎｊωｆ（ｊ）,１ｎ,（０≤ｊ≤５）．     

一类由Hormander向量场定义的非齐性Sobolev空间的插值原理

通过研究Ｈｏｒｍａｎｄｅｒ算子Ｈ＝Σ＾ｍｊ＝１ＸｊＸｊ＋ｃ（ｘ）解的性质，其中Ｘ＝（Ｘ１，Ｘ２，…，Ｘｍ）为一组定义在Ｒ＾ｎ上的光骨向量场，Ｘ满足Ｈｏｒｍａｎｄｅｒ条件，ｃ（ｘ）≥ｃ０〉０，且在Ｒ＾ｎ上有界，应用Ｈｉｌｂｅｒｔ空间内插理论及算子Ｈ的正的自伴性，定义了任意次非齐性Ｓｏｂｏｌｖ空间Ｍ＾ｓ（Ｒ＾ｂｎ）。     

A kind of 1form metrics in two dimensional Finsler space

ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＬ（ｘ,ｙ）ｂｅａｆｕｎｃｔｉｏｎｏｎａｔａｎｇｅｎｔｂｕｎｄｌｅＴＭ,ｗｈｅｒｅｘ∈Ｍａｎｄｙ∈ＴｘＭ．ＩｆＬｓａｔｉｓｆｉｅｓｆｏｕｒｃｏｎｄｉｔｉｏｎｓ：（１°）Ｌ（ｘ,ｙ）ｉｓｐｏｓｉｔｉｖｅｌｙｈｏｍｏｇｅｎｅｏｕｓｏｆｄｅｇｒｅｅｏｎｅｉｎｙ,ｔｈａｔｉｓ,Ｌ（ｘ,λｙ）＝λＬ（ｘ,ｙ）ｆｏｒａｎｙｒｅａｌｎｕｍｂｅｒλ＞０;（２°）ｄｅｔ（ｇｉｊ）≠０,ｗｈｅｒｅｇｉｊ（ｘ,ｙ）＝·ｉ·ｊＦ,Ｆ＝１２Ｌ２．（３°）Ｌｉｓｄｉｆｆｅｒｅｎｔｉａｌｉｎ…     

一类三阶非线性微分方程三点边值问题解的存在性

利用上、下解的方法讨论三阶非线性微分方程ｙｍ＝ｆ（ｘ，ｙ，ｙ′，ｙ″）满足线性边界条件：ｙ（ｊ）（ａ）＝α，ｙ（ｂ）＝β，ｙ（ｋ）ｃ＝γ（其中ｊ，ｋ∈｛０，１，２｝，且（ｊ，ｋ）≠（２，２）的三点边值问题解的存在性．同时把线性边界条件推广为非线性边界条件　它们分别是赵为礼等文献的推广．     

正值幂函数乘积的极小和问题

研究下述非线性规划ｍｉｎ↓ｘ∈ＸΣ↑ｓ↓ｊ＝１П↑ｋ↓ｉ＝１ｆｉ＾ｐｊ＾ｊ（ｘ）这里ｆｉｊ：Ｘ→Ｒ＾＋，ｐｉｊ≥０，Σ↑ｋ↓ｊ＝１ｐｉｊ＝１，ｉ＝１，２，…，ｋ，ｊ＝１，２，…，ｓ．Ｘ是Ｒ＾ｎ中非空紧集。借助加权平均值不等式将问题转化为含参数函数之和的极小化问题。证明了最优参数只需取一些特定的值。特别当ｆｉｊ是线性齐次函数，Ｘ为凸多面体时，其最优解必定可以在Ｘ的顶点达到。同时给出了可行点为最优解的     

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.     

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     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the