广义计数算子的交换性质

讨论了Bernoulli泛函空间L~2(M)中广义计数算子N_h与Γ-指标集量子Bernoulli噪声{?_σ,?_σ~*:σ∈Γ}的Lie括号交换性、与?_σ(?_σ~*)复合表达式以及与同指标σ-增生?_σ~*(σ-湮灭?_σ)复合?_σ?_σ~*(?_σ~*?_σ)的交换性。L~2(M)上{?_σ,?_σ~*:σ∈Γ}是一族有界线性算子满足典则反交换关系、幂零性、指标交为空时的复合可交换性以及"吸收"交换性。接下来讨论N_h与{?_σ,?_σ~*:σ∈Γ}的各种交换性问题。一般地,N_h与量子σ-增生?_σ~*(σ-湮灭?_σ)的Lie括号恰是#_h(σ)?_σ~*(#_h(σ)?_σ);对于支撑不是全空间N的h,N_h与一类特殊σ-增生?_σ~*(σ-湮灭?_σ)可交换;而对于具有有限支撑的h,N_h与一类特殊?_σ~*(?_σ)的复合仍保持其"增生(湮灭)"性质;N_h与{?_σ?_σ~*,?_σ~*?_σ:σ∈Γ}可交换。     

量子代数诱导函子H~0(U/U~(b,-))的系数扩张

令U为量子代数,则H~0(U/U~(b,-))表示以A为基环的量子代数U的一个诱导函子.当基环A扩张为A代数Γ时,相应的H~0(U/U~(b,-))变为H~0_Γ(U_Γ/U~(b,-)_Γ).文章指出在一维(秩1)Ub模上的诱导函子H~0(U/U~(b,-)),其零次诱导模的系数可扩展到A代数Γ上,即证明了对λ∈X~+,有U_Γ模同构H~0(λ)Γ≌H~0_Γ(λ_Γ).同时,若Γ作为A模是平坦的,则有扩张后的函子H~0_Γ(U_Γ/U~(0,-)_Γ)是正合的.     

二阶椭圆型方程的间断Poincaré问题

§1问题的提出本文中我们讨论二阶非线性一致椭圆型方程的复形式: 并设(1.1)在多连通区域D上满足如书[1]第一章§3.二中所述相应方程的条件C,这里D的边界Γ=Γ_0+Γ_1+…+Γ_N∈C_μ~2(0<μ<1),Γ_1…,Γ_N在Γ_0所围的有界区域内,Γ_0,Γ_1,…Γ_N     

多复变数Bergman空间中的Hardy—Littlewood型定理

设Ω是 C 中含原点的有界对称域,用 b 记它的 silov 边界.Ω相对于原点是圆型的和星形的,b 是圆型的.用Γ记Ω的全纯自同构群,Γ_0为Γ的使原点不变的子群.b 上存在唯一的使Γ_0不变的测度λ,健λ(b)=1.〔1〕构造了一组齐次多项式{(?)}:k=0,1,…,u=1,2,…m,m_k=C_(n+k-1)~k,它们在Ω中是完备正交的,在 b 上是标准正交的.用 H(Ω)表示Ω上全纯函数的全体.f 的β(β>0)阶分数导数和分数积分定义为:     

关于黎曼—希尔伯特边值问题的奇异情形

所谓解析函数于多(N 1)连通区域G上的黎曼一希尔伯特边值问题,即求在(?)上连续、在G内解析的函数Φ(z),使其适合边界条件: (1.1) Re[(?)Φ(Z)]=γ(Z),Z_∈Γ,这里Γ是区域G的边界,且Γ_∈C_μ~1(0<μ<1),|λ(Z)|≠0,λ(Z)、γ(Z)_∈C_ν(Γ),1/2<ν<1。而当0≤X=1/2πΔ_Γargλ(z)相似文献   

一致完全域,Bers空间与自由插值

设Ω是C中的双曲型区域,λ_Ω(z)|dz|为其上的双曲(Poincar(?))度量。令δ_Ω(z)=dist(z,Ω)及[δ_Ω(z)]~(-1)·|dz|为Ω上的拟双曲度量。又置A_λ~∞(Ω)和A_δ~∞(Ω)分别是具有范数‖f‖_λ=|f(z)|·[λ_Ω(z)]~(-1)<∞和‖f‖_δ|f(z)|δ_Ω(z)<∞的Ω上解析函数f之全体。在本文,一致完全域Ω,即满足C(Ω)=infλ_Ω(z)δ_Ω(z)>0的域Ω被研究,进而A_λ~∞(Ω)与A_δ~∞(Ω)中的函数被刻划;最后就单连通区域Ω上的A_λ~∞(Ω)=A_δ~∞(Ω)中的自由插值问题也被考虑。     

一个二阶拟线性椭园型方程定解问题的奇摄动

我们考虑如下含有小参数的二阶拟线性椭园型方程的定解问题:L_ε〔w〕≡ε(■~2w)/(■y~2)+(■~2w)/(■x~2)-a(y)(■w)/(■y)+b(x,y,w)=0(1)〔(■w)/(■x)+λ_i(y)w〕x=σ_i(y)=(?)_i(y),(i=1,2)(2)w丨_(y=0)=(?)_1(x)(3)((?)w)/((?)y)_(y=1)=(?)_2(x)(4)其中0<ε《1,σ_1(y)<α<β<σ_2(y),σ_1(y),σ_2(y)在〔01〕上适当光滑,使得区域Ω={(x,y)丨σ_1≤x≤σ_2,0≤y≤1}在边界σ_1(y),σ_2(y)上每点满足内部球条件〔5〕。(-1)~iλ(y)>0,(?)_i(y)及(?)_i(x)均为它们所定义的那段边界上的连续可微函数,α(y)>0,b(x,     

Γ-环的σ-结构

本文将许永华对结合环建立的σ-结构推广到Γ-环上。我们对Γ-环R定义了R-自同态映射,建立了Γ-环的σ-理想、σ-商环等概念,考虑了σ-理想的运算,并利用Γ-环的(σ_1,σ_2)-同态,讨论了Γ-环的σ-商环的基本性质。     

条件独立随机变量序列与重随机布阿松序列

§1 引言与摘要设(Ω,F,P)是给定的概率空间,ξ_1,…,ξ_n为定义在(Ω,F,P)上的随机变量,记σ(ξ_1,…,ξ_n)为使(ξ_1…ξ_n)可测的最小σ代数。设F_0是F的子σ代数,假定对任意A_1∈σ(ξ_1)…,A_n∈σ(ξ_n),a,e成立:     

Bi_2O_3——Na_2WO_4体系氧离子导体

1 引言近十多年来,科学工作者对Bi_2O_3基固体电解质的组成、温度与电导率的关系进行了大量研究.高桥武彦等人在Bi_2O_3中掺入各种金属氧化物进行探索,发现了一系列性质优良的氧离子导体.例如:(Bi_2O_3)_(0.75)(Y_2O_3)(0.25)、(Bi_O_3)_(078)(WO_3)_(0.32)等,在923K 时,前者氧离子电导率(σ_0-)为1.1×10~(-2)Ω~(-1)cm~(-1),后者σ_0-为4.1×10~(-2)Ω~(-1)cm~(-1).     

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