零阶角长球面波函数的研究

零阶角长球面波函数在信号处理等中有着重要应用。它可由积分方程来定义；亦可由求解其微分方程得到。本文利用斯图谟－刘维尔问题．积分方程中希尔伯特－施密特理论，积分变换的正交不变性及δ函数的性质，首次从数学上给出了这种函数微分方程与积分方程等价关系的一般证明。     

功能梯度/压电材料中裂纹对SH波的散射问题

讨论了具有裂纹的无限长功能梯度/压电材料层合的SH波散射问题。在电渗透型边界条件情况下,将考虑的问题通过Fourier积分变换把混合边值问题的求解转化为对偶积分方程,利用Copson方法将得到的对偶积分方程转化为Fredholm积分方程再进行数值求解,得到了裂纹尖端的应力强度因子、电位移强度因子。最后讨论了材料梯度参数、入射角等因素对标准动应力强度因子的影响。     

角馈微带天线的输入阻抗及振荡函数的数值积分

本文用积分方程法计算了角馈微带天线的输入阻抗，并分析了不同参数对输入阻抗的影响．对求解过程中遇到的奇异振荡函数积分，采用渐进抽取技术，将二维无限区间的积分转化为一维有限区间的定积分．与传统的计算方法相比，本文方法所用的计算时间大为缩短．所得计算结果与实验结果相当一致     

无限长不同功能梯度压电有限层合板中裂纹对SH波的散射

讨论无限长不同功能梯度压电有限层合板中裂纹对SH波的散射,在电渗透型边界条件情况下,将考虑的问题通过Fourier积分变换把混合边值问题的求解转化为对偶积分方程,然后利用Copson方法将得到的对偶积分方程转化为Fredholm积分方程再进行数值求解,得到裂纹尖端的应力强度因子.讨论材料梯度参数等因素对标准动应力强度因...     

α,ω-二元羧酸在N,N-二甲基甲酰胺+水溶液中的体积性质

报导了298．15K时α，ω-二元羧酸 N，N-二甲基甲酰胺 水溶液的密度数据，求解了二元羧酸的无限稀释表观摩尔体积，并利用了改进的定标粒子理论求解溶质的空腔体积Vc和溶质-溶剂相互作用体积VI.讨论了α，ω-二元羧酸中亚甲基数对体积性质的影响和溶液组成变化对体积性质的影响．     

基于模糊成分的氧化铝烧结法配料优化

针对氧化铝烧结法配料某些生料成份的不确定性,引入L-R模糊数描述,并建立该类问题的优化模型.基于模糊参数的ɑ-截集和隶属函数的性质, 原模糊规划问题被转化成半无限规划问题.再利用约束函数最值法, 上述导出的半无限规划问题变成了普通线性规划问题进行求解.所建立的模型和求解方法的有效性均在氧化铝烧结法的矿配问题中得到验证.     

半平面多圆孔多裂纹反平面问题

运用复变函数及积分方程方法,求解了半平面域多圆孔多裂纹反平面问题．建立了两种类型的基本解．利用叠加原理和所得的基本解并沿圆孔和裂纹表面取待定的基本解密度函数,可得一组基本解密度函数为未知函数的Ｆｒｅｄｈｏｌｍ积分方程．通过该积分方程组的数值求解可以得到密度函数的离散值,进而得到裂纹尖端的应力强度因子．     

半无限长导线端面Green函数严格形式的一个新推导

为得到半无限长理想导线端面上的单体Green函数,应用介观问题中求解Green函数常用的代数迭代方法,利用端面处的自洽关系,推导出任意截面的半无限长链端面上Green函数的严格形式.该结果克服了多数文献中通常采用的直接积分法计算而忽略虚纵向波矢态的贡献,具有更强的严格性和更广的适用范围.     

浅析由卷积微积分性质所得推论的应用条件

卷积积分是计算连续时间系统零状态响应的数学工具．指出在利用由卷积微分性质和积分性质所得推论简化求解卷积运算时,参与卷积的两个函数都要受到条件限制．通过理论分析并用实例论证了由卷积微分性质和积分性质所得推论的局限性,进一步推导证明：该推论的应用条件是参与卷积的两函数都应在-∞处收敛．还利用理论分析结果对一个具体的连续时间系统进行了分析．     

半平面体弹性问题的自然边界元法

对于半平面体弹性问题,力学中一般并没有直接求解,而是由求解半无限楔形体问题间接得到其解答的。本文由双调和方程的格林函数及格林第二公式,通过自然边界归化得到半平面体弹性问题应力函数统一的边界积分公式,根据已知的面力条件,求得边界应力函数及其法向导数,代入积分公式即可直接得到半平面体在各种边界载荷作用下的弹性问题解答。     

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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