空间H_0~1(R_+~2×R_+~2)上的奇异积分

用函数分解的方法,证明了由R.Fefferman和E.M.Stein在[2]、[3]中引进的乘积空间上的奇异积分在空间H_0~1(R_+~2×R_+~2)上是有界的。用同样的方法可以证明单参数的奇异积分在Hardy空间H~1(R~2)上是有界的。     

水溶液中甲基过氧化氢光分解动力学

本文研究了在水溶液中,甲基过氧化氢(M.H.P.)在2537(?)的紫外光作用下的分解动力学行为.M.H.P.浓度在1.33×10~(-2)至1.80×10~(-4)摩尔/升区域,分解动力学服从一级加3/2级反应规律.主要产物为甲醛、甲醇、甲酸及微量H_2O_2和氧气.M.H.P.分解速率受丙烯醇、甲醛所阻化,受H_2O_2所加速。对分解机理进行了讨论,认为可能是自由基诱导分解链反应机理.     

拟阵S(M_1,M_2)与P(M_1,M_2)的基及其应用

对拟阵S(M1,M2)与P(M1,M2)的基及其应用进行了研究.用CS的定义证明了B∈B(S(M1,M2))的充分必要条件.用基的相互关系证明了r(S(M1,M2))和r(P(M1,M2))的计算公式,并由此推出:(1)P(M1,M2)=S(M1,M2);(2)若M/p=M1⊕M2,则M=P(M-E(M1),M-E(M2)).     

相对极值超曲面的Bernstein性质

设x:M→A~(n+1)是一个局部严格凸的超曲面,由Ω(<)A~n上的凸函数x_(n+1)=f(x_1,…,x_n)定义.考虑M上的相对度量G~α=p~(α+1)∑δ~2f/x_ix_jdx_idx_j,其中P=(det(δ~2f/δx_iδx_j))-1/n+2,α为常数.作者对由一个四阶偏微分方程的凸解所给出的局部严格凸超曲面进行了研究,给出了这个非线性偏微分方程凸解的Bernstein性质的证明.     

n维系统周期解的环域定理

本文是《n维系统周期解的区域定理》一文的继续,在§1,引言的基础,从另一个角度,研究向量微分方程dx/dt=A(t)x+g(t,x) (1)的周期解。我们引入环域的概念,在环域上研究微分方程(1)的ω周期解的存在性唯一性。建立了环域定理,给出了在环域上ω周期解的存在性唯一性的充分条件。对于实数R_1,R_2(R_2>R_1≥0)定义环域R:R_1≤‖x‖≤R_2。在环域R上讨论g(t,x),G(t,τ),ω与R_1,R_2的关系。由此,寻找映像T的不动点存在且唯一的充分条件。为此,引入记号     

中药竹节香附化学成分的研究Ⅵ

从中药竹节香附(Anemone raddeana Regel)中分得皂甙R_6和R_7.R_6,C_(47)H_(76)O_(16),m.p.255～257℃(分解),[α]_D~(25)-7~0(C,0.7,甲醇).R_7,C_(53)H_(86)O_(21),     

De Sitter空间中的类空Weingarten超曲面

在超曲面几何学中,对主曲率的研究是至关重要的。特别,当主曲率之间满足某种关系式时,这种超曲面存在性的研究是极其有意义的。一般地说,这种问题可归结为解相应地偏微分方程。由于解某些偏分微方程十分困难,目前,许多几何学家设法将偏微分方程转化为常微分方程。本文就是利用这一方法,去确定De Sitter空间S_1~(n+1)中的主曲率k_1,…,K_n满足某一关系的超曲面M。具体地说,有:给定R~(n-1)内开集(0,∞)~(n-1)上一个C~1函数k_n=f(k_1,…,k_(n-1))(n≥2),一定存在S_1~(n+1)内n维类空旋转超曲面M,使得M的n个主曲率k_1,…,k_n恰有上述函数关系。     

镇静钢钢锭模设计的图算方法

本文研究的是镇静钢钢锭模设计的图算方法。 在设计时先给出下列的技术条件:钢锭体积V(不包含帽部),高宽比α,宽厚比β,大、小面的锥度i_1和i_2,大面上尾部转角半径R_2,小面尾部转角半径R_1,直部横截面的园角半径r。所要求出的是,钢锭的高度H,大头断面的长、宽a_1、a_2、小头断面(直部与尾部相连处)的长、宽b_1,b_2。 文中求H的方程 h~3-ph-q=0,其中 h=H-δ, δ=1/3(i_1/η i_2/η)R_1 (*) i=(4-π/2-i_1)R_2~2/ξ (4-π/2-i_2)R_1~2/η (4-π)i~2/ξη, q=V/ξη,ξ=2β/α(1 β),η=2/α(1 β)。此外,我们也推出了计算钢锭尾部体积的公式 V_尾=b_1b_2h-2[f(h/R_1)R_1~2b f(h/R_2)R_2~2b_2],其中 f(k)=k-1/2k(1-k~2)~1/2-1/2sin~(-1)k, h是尾部高度。 最后,我们作出了解方程(＊)和计算尾部体积的计算图,利用这些图可以很方便并且很快地来完成钢锭模的设计工作。     

稀土化合物R2Fe14B晶场系数的计算

本文采用F.Herbst定义的原子坐标计算了R_2Fe_(14)B(R=Ce,Sm,Pr,Nd,Tb,Dy,Er,Tm)的晶场系数.对未见报导R原子坐标的R_2Fe_(14)B化合物用Pr_2Fe_(14)B中的Pr的坐标(R是轻稀土时)和Dy_2Fe_(14)B中Dy的坐标(R是重稀土时)进行了计算,并将计算结果和已见报导过的文献数据进行了比较.     

平面上对射对应的交和连

本文在平面π到π′的对射对应R_1和R_2的基础上,引进了R_1和R_2的交以及R_1~(-1)和R_2(-1)连的概念,结合运用对偶原理,讨论了点坐标和线坐标之间的二次对应及其性质,得出了一系列结果,其中包括π≡π′,A和B均为对称矩阵的特例时所得到的相应结果     

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.     

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     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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