图的曲面嵌入

提供了曲面的一种多边形表示,它虽然由多面形表示演化而来,但使得图的曲面嵌入的存在性、计数、确定最大亏格等问题变得十分简单.多面形表示源于Heffter[1].Hilbert和Cohn Vossen提出过引线问题并将它与Heawood的地图着色猜想联系[2].经过近百年直至Ringal等获得证明[3,4].Edmonds(1960)[5]的多面形表示曾被广泛引用.但30余年后,才发现是Heffter的对偶形式.虽然多边形表示始于本文作者的专著[6,7],但至今才发现它在处理上述问题的效力.这就导致此文并为过渡到组合地图理论搭起一座桥梁.     

图的曲面嵌入

提供了曲面的一种多边形表示，它虽然由多面形表示演化而来，但使得图的曲面嵌入的存在性、计数、确定最大亏格等问题变得十分简单．多面形表示源于Heffter^[1]．Hilbert和Cohn—Vossen提出过引线问题并将它与Heawood的地图着色猜想联系[2]．经过近百年直至Ringal等获得证明^[3，4]．Edmonds(1960)^[5]的多面形表示曾被广泛引用．但30余年后，才发现是Heffter的对偶形式．虽然多边形表示始于本文作者的专著^[6,7]，但至今才发现它在处理上述问题的效力、这就导致此文并为过渡到组合地图理论搭起一座桥梁．     

图的曲面嵌入

提供了曲面的一种多边形表示，它虽然由多面形表示演化而来，但使得图的曲面嵌入的存在性、计数、确定最大亏格等问题变得十分简单。多面形表示源于Heffter^[1],Hilbert和Cohn—Vossen提出过引线问题并将它与Heawood的地图着色猜想联系^[2]，经过近百年直至Ringal等获得证明^[3,4]。Edmonds(1960)^[5]的多面形表示曾被广泛引用．但30余年后，才发现是Heffter的对偶形式。虽然多边形表示始于本文作者的专著^[6,7]，但至今才发现它在处理上述问题的效力。这就导致此文并为过渡到组合地图理论搭起一座桥梁。     

问题与进展(Ⅰ)--数多面形

提供在数多面形方面的一些基本的、而且从总体上讲也是困难的问题.不过,可以发现一些途径去接近它们,更能引起一批相关问题.虽然已经有了和正在发现一些可能的进展,但距离完全解决在当前尚难以预料有多远的路程.     

隐参数曲线曲面的微分几何

基于参数表示和隐式表示的优点提出了一种新的曲线曲面表示方法———隐参数曲线曲面,并给出了新表示形式下曲线曲面的相关微分几何概念.这种表示在整体形式上为参数形式,但定义域为隐函数形式.从而不仅易于计算曲线、曲面上的点及其他信息,而且可以表示一些具有复杂拓扑的曲线曲面.最后通过实例展示了它在表示复杂拓扑形状和形状作局部控制等方面的应用.     

基于角点的形状分析

形状分析首先要解决的是它的形状表示,它至少需要达到两个目的:特征提取(形状描绘子)和数据压缩.付里叶描绘子是人们常用的一种形状描绘子,但这种方法计算量太大,数据压缩也很有限,特别是归一化处理非常麻烦,因而使它的应用受到限制.多边形拟合是人们常用的另一种方法,文献[3]提出了一种强有力的分裂合并算法,但这种方法处理速度很慢,在对速度要求较高的实时系统中难以得到应用,另外,当两个相似形状的多边形逼近的多边形边数不同时,即使采用动态程序的方法进行多边形比较也很麻烦.可以看到,用多边形近似描述平面封闭曲线时,多边形的顶点,即两直线段的交点,应该对应于平面封闭形状的角点,而多边形和它的顶点确定是相似的,也就是说,一组角点能唯一地确定一多边形,反之,一多边形也唯一地确定了一组角点,因此,形状的描述也可以用一组角点来近似表示.     

现代战争的“向导“——军用数字地图

信息时代的产物-数字地图 　　数字地图就是将地图上的所有内容和信息在计算机的辅助下生成、制作和应用,以数字的形式来组织、存储和管理的地图.虽然它在计算机中的表示和存储形式为一组数据,但在计算机屏幕和输出设备上却表现为色彩鲜艳、非常直观的平面地图. 　　……     

非旋转对称三次方面形的非接触式检测方法

非旋转对称的光学曲面越来越多地应用到现代光学系统中,但对该类光学面形的检测还基本依靠坐标测量机和接触式轮廓仪.利用计算全息图(computer-generated holograms,CGH)可以生成任意想要的波前这一特点,提出了利用计算全息来检测非旋转对称的光学曲面的非接触式测量方法,并通过对一个三次方面进行面形检测,详细给出了从检测系统的理论设计、CGH的制作到面形检测整个过程.检测结果的面形偏差PV值为1.047λ(λ=0.632 8×10-3 mm,氦氖激光波长),均方根(RMS)值是0.094λ.该方法可以作为现行接触式测量方法的有效补充,并且具有良好的前景.     

论多面形-曲面-嵌入-地图

简化并统一了多面形、拓扑曲面、图的曲面嵌入与组合地图等基本理论.     

易于拼接且形状可调的Bézier曲线曲面

为了增强Bézier曲线曲面形状表示的灵活性,同时简化Bézier曲线曲面的光滑拼接条件,构造了3组含参数的多项式基函数,并由它们定义了结构分别类似于二次、三次、四次Bézier曲线曲面的新曲线曲面.它们不仅保留了Bézier曲线曲面的基本性质,而且还具有形状可调性,并且由新曲线曲面构成的组合曲线曲面可以在简单的条件下实现G2或G3光滑拼接.另外还给出了构造与给定多边形相切的曲线的方法,该方法简单有效,而且曲线对给定的多边形是保形的.     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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