方格偶图Bm×n中的圈数

设Bm×n是具有m×n个顶点的方格偶图，g(m，n)表示图Bm×n中不同圈的数目.证明了g(2，n)=n(n+1)/2，g(3，n)/2=[(1+     

角度约束路径法的网格曲面兴趣区域边界快速交互选取

提出角度约束路径法,快速获取三角网格曲面上任意两顶点间一条由网格边所组成的路径.该算法是一个从起始点开始不断向前传播的过程,计算量仅与两顶点间的曲面区域有关,故算法的时间复杂度(O(n))优于Dijkstra算法(O(n log n)).试验结果表明:角度约束路径法的执行快速、有效;基于该方法可实现三角网格曲面兴趣区域边界的快速交互选取.     

工程曲面插值设计方法及其应用

本文讨论了双三次Bezier曲面和双三次B-pline曲面的插值设计方法及其在工程曲面设计中的应用。为了保证曲面通过给定的全部型值点,采用反求控制网格顶点的方法,并通过边界条件的选择来控制曲面的形状。     

基于Catmull-Clark细分的曲面裁剪运算

曲面裁剪运算是CAD/CAM领域最重要、最复杂的问题之一,四边形网格在工程CAD/CAM的实际应用中较为广泛.文中基于Catmull-Clark细分,提出一种对平面四边型网格进行操作的曲面裁剪运算:在细分曲面求交完成后,采用局部修改交点处的控制网格拓扑结构和局部修正控制网格顶点位置的方法,实现了对Catmull-Clark细分曲面的裁剪运算.文中还给出了控制网格上任意点在细分曲面上的位置计算推导、裁减算法流程与应用实例.     

线性相连的(r,s,t)/(l,m,n):F格点系统的可靠性

线性相连的(r,s,t)/(l,m,n):F格点系统是由l×m×n个部件依次排列成一个长方体形状,系统失效当且仅当至少有一个由r×s×t相邻的部件排列成的一个子长方体中所有部件都失效,三维线性连续失效系统(k3/n3;F)是其特殊情形。本文给出了线性相连的(r,s,t)/(l,m,n):F格点系统的上、下界.     

Loop自适应细分曲面算法研究

目的研究细分曲面深度控制算法过程,提出误差控制的自适应细分曲面算法,解决细分曲面网格面片数迅速增多、数据量增大对于曲面加工造成困难的问题.方法根据Loop细分规则和顶点坐标信息等推导出网格顶点与该顶点极限位置之间的距离公式;给定任意精度阈值ε,计算k值确定细分深度.结果在给定精度小于0.02时,人脸曲面网格模型的细分深度为4;考虑到数据增长量级数较大、运行时间较慢等因素,细分3次为最佳.结论笔者所提算法有效地控制了复杂曲面细分深度,避免了曲面模型无限制地细分下去造成的数据量冗余,提高了曲面数控加工的效率.     

网格计点法测待定相占百分数的计算公式的修正

研究钢材的不同组织对其性能的影响一般采用网格计点法测再结晶百分数或测待定相百分数.文章给出如下公式Vv=Pa/(m-1)(n-1)×100%并分析以往公式 Vv=Pa/(m·n)×100% 存在的误差.     

基于Catmull-Clark细分的曲面裁减运算研究

本文在Catmull-Clark细分曲面求交完成后,采用局部修改交点处的控制网格拓扑结构和局部修正控制网格顶点位置方法,给出了控制网格上的任意点在细分曲面位置上的计算推导,方便地实现了对Catmull-Clark细分曲面的裁剪运算。     

m×n矩形的格点平行四边形和正方形的计数

通过引入具有性质 E的平行四边形和正方形的概念 ,求出 m× n矩形的内含 i× j矩形 .它具有性质 E的平行四边形 (简称 E平行四边形 )个数 ,又具有性质 E的正方形 (简称 E正方形 )个数 .进而 ,求出 m× n矩形的格点平行四边形个数和格点正方形个数     

一种新的点云模型控制网格的生成方法

控制网格是三维模型表示成位移细分曲面的关键.针对采用紧缩包围盒方法在处理表面有大凸大凹的点云模型时所出现的问题,提出了一种新的从点云模型中重建其表面控制网格的方法.该方法首先将点云的包围盒均分为n×n×n个小体元,然后,通过一种类似三维种子填充的算法对点云外部的小体元做上标记,并删去这些小体元,最后从剩下的体元外表面上产生一个初始的控制网格.实验结果表明,该方法不仅能快速地产生位移细分曲面的控制网格,而且能更好地逼近于原模型.     

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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