正四面体生成的一般Sierpinski块的Hausdorff测度的估计

首先引入了正四面体生成的一般Sierpinski块的概念及其构造,给出正四面体生成的一般Sierpinski块的Hausdorff维数,并对其Hausdorff测度研究现状进行了分析;通过构造出一个新的迭代数列,得到了估计正四面体生成的一般Sierpinski块的Hausdorff测度的更好的公式,并计算得出了相关结果.     

正四面体生成的一般Sierpinski块的Hausdorff维数与Hausdorff测度的估计

该文引入正四面体生成的一般Sierpinski块Er(0＜r≤0.5)的概念及其构造.通过求出Er计盒维数得到其Hausdorff维数,并得到了它们的Hausdorff测度的较好估计,其主要结果改进了现有文献的相关结果.     

泛Sierpinski垫片的Hausdorff测度

定义泛Sierpinski垫片，得到压缩比为a(1/2≥a≥3√2/3)的泛Sierpinski垫片的Hausdorff测度上界的最好估计为H^s(S)≤25/22(1 a/1 a a)^s。     

一类长方形sierpinski垫片的Hausdorff测度与上凸密度

在平面上,由长为1,宽为a[1/2≤a≤1]的长方形生成的一类自相似集,也就是一个Sierpinski垫片。在满足强分离条件及维数小于1的条件下,证明了自然覆盖为其实现上凸密度1计算的最好形状,自然覆盖即是最好的覆盖。作为它的直接推论,可以得到该类自相似集的Hausdorff测度的精确值。     

一种 Sierpinski 垫片的 Hausdorff 测度

Sierpinski垫片是具有严格自相似性的经典分形集之一，本给出了一种Sierpinski垫片的构造，并得到了它的Hausdorff测度的准确值。     

分形图像Sierpinski地毯的模拟算法与实现

文章首先介绍了分形的两个重要属性以及Sierpinski地毯Hausdorff测度和Hausdorff维数的计算方法,然后根据Sierpinski地毯的构造过程,给出了一种用计算机来模拟这种分形的实现算法.     

Sierpinski地毯中有限扩散凝聚的标度性质

采用映射膨胀法构造两种不同的Sierpinski地毯，运用Mome Carlo方法研究两种Sierpinski地毯中的有限扩散凝聚（DLA）生长。采用DLA模型，通过计算机模拟获得了两种Sierpinski地毯中DLA生长的斑图结构，结果表明两种Sierpinski地毯中DLA生长的斑图结构有着显著差别，计算其中的分形维数，并得到多重分形谱。     

2类变形Sierpinski地毯的Hausdorff维数

构造了圆心角小于180°的扇环与正方形之间的某种双Lipschitz映射,首先证明了若将经典Sierpinski地毯的初始图形正方形换成此类扇环,则得到的变形Sierpinski地毯与经典的Sierpinski地毯具有相同的Hausdorff维数;其次证明了若将初始图形换成圆心角小于180°的扇形,则其生成的变形Sierpinski地毯的Hausdorff维数也有同样的结果.     

一类广义Sierpinski地毯的Hausdorff测度

得到正方形上一类Sierpinski地毯En的等价构造,即为一类六边形上的Sierpinski地毯Qn;通过在Qn上定义一个质量分布,由质量分布原理得到下界,从而完全确定了En的Hausdorff测度的准确值.     

块θ-方法的PLm-稳定性

讨论了带有多个滞时量的延时微分方程的数值稳定性,分析了块θ-方法求解多延迟微分方程的Pm-稳定性和兕。一稳定性的条件,证明了块θ-方法Pm-稳定的充要条件是1／2≤0≤1,块θ-方法PLm-稳定的充要条件是θ=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.     

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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