基于牛顿多边形的曲线亏格公式

曲线的亏格数是重要的双有理不变量,曲线的分类问题便由亏格数给出解答．文中给出了一种计算不可约曲线的亏格的新公式,通过给出一条不可约曲线所对应的牛顿多边形,可以建立单项式变换,因此利用单项式变换达到对曲线奇点的分解,并得到曲线亏格公式中所需的其他变量,这种算法能够更直观更快速的计算曲线的亏格．     

牛顿第二定律实验中阻尼系数测量

在中学或高等院校验证牛顿第二定律实验中要提高实验精度、验证实验结果,首先必须解决好摩擦力(粘滞力)的问题,文章讨论了用打点计时器及气垫导轨、光电计时系统来验证牛顿第二定律时,如何平衡摩擦力(粘滞力)的几种方法.     

牛顿环实验的扩展研究

通过观察、测量牛顿环实验过程中出现的变形牛顿环,分析得出变形牛顿环的形成是由于牛顿环装置中玻璃面附着有微小尘埃或玻璃发生形变后产生;同时,探完了变形牛顿环的物理原理及变形环的特点与规律．     

Smoothing Newton Algorithm for Nonlinear Complementarity Problem with a P.Function

By using a smoothing function,the P nonlinear complementarity problem(P NCP)can be reformulated as a parameterized smooth equation.A Newton method is proposed to solve this equation.The iteration sequence generated by the proposed algorithm is bounded and this algorithm is proved to be globally convergent under an assumption that the P NCP has a nonempty solution set.This assumption is weaker than the ones used in most existing smoothing algorithms.In particular,the solution obtained by the proposed algorithm is shown to be a maximally complementary solution of the P NCP without any additional assumption.     

从变质量物体的运动谈起

牛顿运动定律以及由牛顿第二定律推导出的动量定理、动量矩定理、动能定理,只适用于宏观低速的情况下,而且在运动的过程中,物体的质量是恒定不变的。然而在宏观低速的情况下,我们会遇到许多变质量物体运动的问题,在此情况下,牛顿运动定律以及由此推导出的三条基本定理将要做一定的修改,其表达式是不一样的。     

多功能薄膜干涉实验装置的应用

在常规实验装置的基础上设计安装了一个光具架,由此制成了一种多功能薄膜干涉实验装置。在该装置上不仅可以完成常规的牛顿环实验,还可完成劈尖干涉实验和多种扩展实验,解决了在单一薄膜干涉实验装置上只能完成一种实验的弊端。     

Some elementary examples from Newton’sPrincipia

This article is aimed at undergraduate students to give them a taste of thePrincipia, Newton’s famous book. I have selected some examples and results in mechanics; most of them are a part of the undergraduate curriculum. His research interests are in high energy phenomenology. He is also interested in teaching graduate and undergraduate courses.     

力学及其发展

十七世纪建立起来的牛顿力学体系,开创了科学时代的到来,诠释了科学方法。从此科学真正的登堂入室,一路繁花似锦的走过了三百多年的辉煌历程,为后来的其他学科发展奠定了坚实的基础,同是也为后来的相对论力学和量子力学作了奠基性的贡献。文章从历史的角度叙述了力学和它的发展,为我们纵观力学的发展提供了一定的参考。     

球磨机研磨体运动分析的数值解法

本文针对作图法的弊端,采用牛顿迭代法求研磨体运动分析中θ2的数值解,并给出了迭代初始值θ2o的取值方法,以求避免或减少设计中的人为误差,提高设计精度．     

Rheology-based facial animation realistic face model

This paper presents a rheology-based approach to animate realistic face model. The dynamic and biorheological
characteristics of the force member (muscles) and stressed member (face) are considered. The stressed face can be modeled
as viscoelastic bodies with the Hooke bodies and Newton bodies connected in a composite series-parallel manner. Then, the
stress-strain relationship is derived, and the constitutive equations established. Using these constitutive equations, the face
model can be animated with the force generated by muscles. Experimental results show that this method can realistically
simulate the mechanical properties and motion characteristics of human face, and performance of this method is satisfactory.