Bergman空间上Hankel算子的稠密性

设Ω为Ｃ＾Ｎ上的一个区域，Ω关于Ｌｅｂｅｓｇｕｅ测试有限，记Ａ＾２（Ω）为Ｂｅｒｇｍａｎ空间，Ｐ（Ω）为Ω上具有紧的无穷次微函数全体，则成立下述结论（１）ＡＴ∈Ｂ（Ａ＾２（Ω）），Ｆｉ，Ｇｉ∈Ａ＾２（Ω），ｉ＝１，２，…，Ｋ，ヨψ，Ф∈Ｐ（Ω），使（ＨψｈФＦｉ，Ｇｉ）＝（ＴＦｉ，（Ｇｉ），ｉ＝１，２，…，Ｋ；（２）ｓｐａｎ｛ＨψＨФ｜ψ，Ф∈Ｐ（Ω）｝按范数拓扑在Ｋ（Ａ＾２（Ω））中稠。     

由位置码性质所确定的集合的Hausdorff维数

设Ｆ为一Ｍｏｒａｎ集，Ω＾ｗ＝П↑∞↓ｉ＝１｛１，２，…，ｎ｝，φ为Ω＾ｗ→Ｆ的一个相关的自然满射；Γｉ，…，Γｋ两两不交且∪↑ｋ↓ｉ＝１Γｉ＝｛１，２，…，ｎ｝。令Ｈ（Γｉ，…，Γｋ）＝φ（Ｈ（Γｉ，…，Ｆｋ）），此处Ｈ（Γｉ，…，Γｋ）＝｛σ∈Ω＾ｗ：ｌｉｍ↓ｌ→∞Ｃａｒｄ｛１≤ｉ≤ｌ：σ（ｉ）∈Γｊ｝／ｌ＝Σ↓ｉ∈Гｊｃｉ，１≤ｊ≤ｋ｝。这里ｃｉ≥０且Σ↑ｎ↓ｉ＝１ｃｉ＝１。得到了下列结论：     

由位置码所刻划的Moran集的子集的维数

设Ｆ为一Ｍｏｒａｎ集Ω＝（σ（１）,σ（２）,…）：０≤σ（ｊ）≤ｒ）,设φ为相关的从Ω到Ｆ的连续满射,固定非空紧集Г包含（０,１,…,ｒ）并用ｚ（σ,ｎ）表示σ∈Ω的第ｎ个属于Г的分量的位置,即σ（ｚ（σ,ｎ）∈Г且ｎ＝＃（１≤ｉ≤ｚ（σ,ｎ）：σ（ｉ）∈Г）对固定的０〈ζ≤１记Ａ＝（σ∈Ω：ｌｉｍｓｕｐｎ→∞ｚ（σ,ｎ＋１）／ｚ（σ,ｎ）≥ζ＾－１）,Ｆζ＝φ（Ａ）,则ｄｉｎＨＦζ＝η,ｄｉｍ     

关于n维单形宽度的一个结果

证明了关于ｎ维单形宽度的一个不等式，结果是Ｗ≤（ｓｉｎθ）＾１／２αｎ（１／ｎ＋１Σ↑ｎ＋１↓ｉ＝１Ｒｉ＾２）＾１／２。这一结果蕴含并推广了Ｓａｌｌｅｅ－Ａｌｅｘａｎｄｅｒ定理。     

二阶非线性抛物型偏微分方程初边值问题的奇摄动

本文讨论一类二阶非线性抛物型偏微分方程初边值问题的奇摄动解法，设Ｌεｕ＝δｕ／δｔ－〔εΣ↑ｎ↓ｉｊ＝１δｉｊ（ｘ，ｔ）δ＾２ｕ／δｘｉδｘｊ＋Σ↑ｎ↓ｉ＝１ｂｉ（ｘ，ｔ）δｕ／δｘｉ＋Ｃ（ｘ，ｔ，ｕ）〕＝０ ｕ（ｘ，ｔ，ε）│ｔ＝０＝ｕ（ｘ，０，ｔ）＝μ（ｘ，ε），ｘ∈Ｂ↑－ ｕ（ｘ，ｔ，ε）│ｓ＝ｈ（ｘ，ｔ，ε）│ｓ（ｘ，ｔ）∈Ｓ其中ε〉０是小参数，给出了上述问题的解的渐近展开式。利用比较定理     

两卵形弧间的等距对立

本文目的是研究两卵形弧间的等距对应，所得的主要结果是下列两定理：设Ｃ和Ｃ＾＊（是两处正则的卵形线，它们的长度相等，ψ：Ｃ→Ｃ＾＊是等距映射，则在Ｃ上有４个不同的点Ａ１，Ａ２，Ａ３，Ａ４使Ｃ在Ａｉ的曲率等于Ｃ＾８在ψ（Ａｉ）（ｉ＝１，２，３，４）。设Ｃ和Ｃ＾＊是都是以Ａ、Ｂ为端点的卵形弧，它们的长度相等；ψ：Ｃ→Ｃ＾＊是等距映射使ψ（Ａ）＝Ａ；Ｍ以Ｃ上一点；对于ＡＭ上任一点Ｐ有ｋ（Ｐ）≥ｋ（ψ（ｐ）     

r阶导数为ΦBV中函数的Fourier级数收敛速度估计

对于周期为２π并且ｒ阶导数为φ－有界变差函数,我们证明了：│Ｓｎ（ｆ,ｘ）－ｆ（ｘ）－ｓｉｎｒ／２π／πｎ＾ｒ（ｆＲ＾（ｒ）（ｘ）－ｆＬ＾（ｒ）（ｘ））│≤３／ｎ＾ｒ＋１Σ↑ｎ↓ｋ＝１Ｖφ（ψｘ,［０,π／ｋ］）＋２│ｓｉｎｒ／２π│／πｎ＾ｒ＋１│ｆＲ＾（ｒ）（ｘ）－（ｆＬ＾（ｒ）（ｘ）│,其中ｆ∈φＢＶ∩Ｖｒ。     

Morita 系统环上的自由模

利用Morita系统环上的（右）模的分解,研究其上的自由模,并利用所得的结果刻画形式三角矩阵环上的自由莫模与投射模,对于Morita系统环T](RNMS)（θφ）,每个T－模可以分解为一个四元素对（P,Q）（f,g）,记P^-R＝P／Imf,Q^-s=Q/Tmg,R^-=R/Tmθ,S^-=S/1mψ,且设Λ为任意非空集合,主要结果有：1）若（P,Q）(f,g)≌T^（Λ）,则P^-R^-≌R^-(Λ）,Q^-S^-≌S^-（Λ）．2）若1p与Rθ的张量积＝0且1Q与Sψ的张量积＝0,则{（pλ,qλ)｜λ∈λ}是（P,Q）(f,g）的一组自由基当且仅当下列条件①和②成立：①{p^-λ｜λ∈Λ}和{q^-λ｜λ∈Λ}分别为P^-R^-和Q^-S^-的自由基,且{pλ｜λ∈Λ}是R－线性无关的,{qλ｜∈Λ}是S－线性无关的;②f(∑（qλ与nλ的张量积））＝0蕴涵nλ＝0,且g（∑λ（pλ与mλ的张量只））＝0蕴涵mλ＝0（对于任意的nλ∈N,mλ∈,λ∈Λ）．3）当M＝0时,（P,Q）（f,g）≌T（Λ）当且仅当P^-R^-≌R^(Λ）,Q^-s^-≌S^-(Λ)且f为单同态。     

关于Hennekemper的一个基本不等式

用与Ｈｅｎｎｅｋｅｍｐｅｒ不同的方法研究了（ｆ＾ｋ＋１）＾（ｋ）的值分布，将Ｈｅｎｎｅｋｅｍｐｅｒ所得的基本不等式推广至小函数情形，得到了如下定理：设ｆ为超越亚纯函数，Ｆ＝（ｆ＾ｋ＋１）＾（ｋ），ｋ∈Ｎ，ψ为非零的小函数，则Ｔ（ｘ，ｆ）≤（１＋２ｋ＋１／４ｋ＾２＋２ｋ－１）Ｎ（ｒ，１／ｆ）＋４ｋ＋２／４ｋ＾２＋２ｋ－１Ｎ↑－（ｒ，１／Ｆ－ψ）＋Ｓ（ｒ，ｆ）。     

关于一类二维奇异积分方程的唯一解

设Ｄ是一个边界Г∈Ｃ＾１ａ（０〈ａ≤１）的有界单连域,复函数ｑ（ｚ）∈Ｃ＾１ａ（Ｄ）,│ｑ（ｚ）│≤１,等积只能在Г上成立,且在Г上等式ｑ（ｚ（ｔ）ｚ’（ｔ）＋１│ｚ∈Г＝０最多在有限个点上成立,本文给出以满足上述条件的复伸张ｑ１（ｚ）及（ｑ２（ｚ）∈Ｃ＾１ａ（Ｄ）为系数的二维奇异积分方程ｗ（ｚ）＋ｑ１（ｚ）／ｎ√√ｗ（ｔ）／（ｘ－ｚ）＾２ｄσ＋ｑ２（ｚ）／ｎ√√ｗ（ｔ）ｄσｚ／ｔ－ｚ＝ｆ（ｚ）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