规范向量场与仿射法线向量场的关系

本文给出了规范向量场Ё与仿射法线向量场Ё的关系式及它们同方向的充要条件。     

R^3中旋转曲面的两个性质

本文给出了R~3中旋转曲面的两个充分必要条件,并加以证明。曲面Σ是三维欧氏空间R~3中旋转曲面的充分必要条件是:1) 沿一族曲线的曲面法线构成共轴的正园锥曲面族,此轴亦为该曲面旋转轴。2) Σ的主曲率 K_1=K_1(u_1) K_2=K_2(u_1)即仅依赖一个曲率线参数u_1。     

各向异性的双轴晶体内表面反射的研究

用一套较为简单的公式 ,再加上坐标轴间的旋转给出了各向异性的双轴晶体内表面双反射时的几条光线行进方向的表达式 ,由此可方便地得到单轴晶体内表面反射光线的方向 .从而为各向异性晶体内表面反射的光路计算提供了理论基础 ,最后给出了计算实例 .     

极坐标系中关于曲线r=r(θ)的研究

研究了极坐标系中曲线r =r(θ)的切线、法线、渐近线方程 ,给出了r =r(θ)的单调性、极值、凹凸、拐点的定义和判别法 ,从而解决了《数学分析》中未曾解决的极坐标方程所表示的曲线的作图问题     

渐开线直齿圆柱齿轮标准值参数的获取

从试验和生产实践对渐开线圆柱齿轮标准参数获取的实际需要出发,依据渐开线圆柱齿轮相邻跨齿数的公法线长度之差等于基节长度的原理,定义了当量变位系数和径向综合变位系数等概念,给出了利用模数试算值、齿根高系数计算值确定被测齿轮标准参数的方法。     

再论光在单轴晶体内表面上的反射

提供了一般情况下直接求解光在各向异性的单轴晶体内表面上反射轨迹的一种较为简便的方法 ,并给出了计算实例 .     

再论光在单轴晶体内表面上的反射

提供了一般情况下直接求解光在各向异性的单轴晶体内表面上反射轨迹的一种较为简便的方法,并给出了计算实例.     

关于R^3中切平面族{α（t），N（t））的包络

本文首先给出了R^3中切平面族{α(t)，N(t))的包络的定义，接着讨论了切平面包络的形状，性质及它与切线面，法线面的关系，并讨论了它在曲面上的限制。     

单轴晶体中e光的波线和波法线间的关系

本文从几何光学和麦克斯韦方程组两种方法分析了e光波线和波法线重合的条件,首先从几何光学e光波的波法线波线的方向表达式,论述在何种情况下e光波线和波法线重合,并给出定量结果,同时从克斯韦方程组出发,较为详细的论证单轴晶体中e光的波线和波法线间的关系,通过比较,两种得出结果一致.通过分析可知当光轴与入射面垂直或相交的时候,e光波线和波法线重合.     

单轴晶体中e光波线和波法线的关系

文章从几何光学和麦克斯韦方程组两种方法分析了e光波线和波法线重合的条件,首先从几何光学e光波的波法线波线的方向表达式,论述在何种情况下e光波线和波法线重合,并给出定量结果,同时从麦克斯韦方程组出发,较为详细的论证单轴晶体中e光的波线和波法线间的关系,通过比较,两种得出结果一致。通过分析可知当光轴与入射面垂直或相交的时候,e光波线和波法线重合。     

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