高阶变性椭圆齿轮的研究与设计

在综合研究高阶椭圆和变性椭圆生成机理的基础上，提出了一种新型非圆齿轮形式——高阶变性椭圆齿轮．采用数学推导与数值计算相结合的方法，建立了以高阶变性椭圆为基础的椭圆族数学模型，提出了最小传动比位置偏移率的概念，以表征周期内传动比曲线的不对称性．研究了在以高阶变性椭圆为节曲线的齿轮传动副中，主动轮与从动轮的转角关系、传动比关系、曲率半径及弧长计算等问题，得到了设计高阶变性椭圆齿轮所需各种参数的求解方法，采用这些方法并结合实际情况，即可设计出满足要求的高阶变性椭圆齿轮副．该设计方法对于普通椭圆齿轮的设计计算也同样适用，因此统一了各种椭圆齿轮的设计过程．     

椭圆运动与圆运动的统一

在经典力学的基础上导出了椭圆轨道运动瞬时速度的关系式，解决了在初等数学范围内对椭圆运动瞬时速度的求值，摆脱了长期以来对瞬时速度求值依赖微积分的算法，并以此为基础导出了一系列满足角动量守恒的物理关系式。建立了椭圆轨道运动的运动学、动力学模式。确定了椭圆轨道运动与圆周运动之间的物理关系及变换方法，从根本上把椭圆运动与圆周运动统一起来。纠正了长期以来椭圆运动与圆运动，不分彼此共用万有引力“以回代椭”混淆不清的现象。从而规范了不同运动状态的天体运动理论。     

面向安全椭圆曲线参数的 PSO优化选择

由于椭圆曲线密码体制具有长度小、安全性高的特性，因此，椭圆曲线在安全保密方面得到了广泛的应用。椭圆曲线参数的选取会影响椭圆曲线的难解程度，从而影响到系统的安全性。本文主要通过 PSO 粒子群算法查找函数最优解的方法来优化选择椭圆曲线的参数，从而得到安全的椭圆曲线，实验表明该粒子群算法具有很强的实用性。     

汽车驾驶员眼椭圆与视平面切点的数学解法的研究

汽车车身CAD中，必须使驾驶员的眼椭圆在车身精确定位。采用数学解析法分析了汽车驾驶员眼椭圆的形成原理，建立了汽车驾驶员眼椭圆的三维数学模型，通过坐标变换的方法，解出汽车驾驶员眼椭圆与视切平面切点的精确值，为后续汽车视野的检验打下重要基础。     

各向同性阶跃光纤的偏振椭圆度

利用全反射光在光纤包层中的横向偏移和相位变化，导出了各向同性阶跃光纤的全反射偏振椭圆度和偏振椭圆度长度计算公式，通过模拟计算分析了偏振椭圆度及偏振椭圆度长度随入射角的变化规律。     

线电荷椭圆环中心轴线势分布

运用椭圆积分的理论和教学方法，给出线电荷椭圆环中心轴线势分布的解析表达式，进行了有关的讨论，指出线电荷椭圆环中心轴线势具有的重要特性。     

强非局域介质中的椭圆高斯型损耗空间光孤子

应用解析的方法研究了傍轴椭圆高斯光束在含小损耗椭圆对称强非局域非线性介质中的传输特性，得到了光束各参量的演化方程、束宽的演化规律和2个临界功率。当椭圆对称强非局域介质的响应函数满足一定条件，这2个临界功率相等；当介质损耗足够小，初始功率等于这一临界功率时，傍轴椭圆高斯光束在传输中，其束宽保持缓慢展宽，可以得到椭圆高斯型损耗空间光孤子。     

椭圆形构件变形测量的数据处理

椭圆形构件由多个刚体管片组成，其变形量可表示为单个管片两端点相对椭圆的位移量．定义仪器中心为测量坐标系原点，椭圆圆心为椭圆坐标系原点．在测量坐标系内，根据多个观测点坐标拟合椭圆方程，得到椭圆相对测量系统的平移旋转参数．将观测点坐标由测量系转换为椭圆坐标．在椭圆系中，求解各管片相对拟合椭圆的平移和旋转参数．最后，通过计算管片端点相对拟合椭圆的位移量得到管片变形量．实际数据处理结果表明，本方法可行．     

求解迹1椭圆曲线上的离散对数

自Nigel Smart首次提出迹1的椭圆曲线是不安全的，针对迹1椭圆曲线的理论研究逐渐多了起来，这些研究成果对于椭圆曲线的应用起到了积极作用，然而对迹1椭圆曲线的实践研究却很少有学者关注.为了较好地理解迹1椭圆曲线的理论成果，了解算法的实施过程和效果，给出了求解离散对数的方法.利用Hensel提升理论，在Q_p域上通过约减和形式对数的方法求解离散对数，同时分析了该方法的计算效率，最后通过实例验证了该方法的正确性和有效性.     

索末菲定态椭圆轨道的推导

从最基本的库仑场守恒情况、椭圆方程和量子化条件出发，给出了索末菲定态椭圆轨道计算的详细推导过程。利用三个守恒定律结合椭圆方程，简明地推出了物理量与椭圆几何参数的三个方程。通过构造物理量找到了电子运动一个周期的总能量与平均动能的关系。在此基础上，应用两个量子化条件，推出了类氢原子的量子化椭圆轨道和能级。     

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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