运动方程

So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.

因此，很多非线性演化方程都与曲线和曲面运动有着密切的关系。

Based on Bernoulli equation of unsteady flow, a random walk model is presented firstly for numerical simulation of unsteady flow in river networks.

首次从非恒定流能量方程出发，建立随机游动模型，用蒙特卡罗方法数值模拟大型河网非恒定水流运动。

Extending the equations in linear regime of free-electron laser particle model to include arbitrary Betatron motions of electrons.

把线性化的、粒子模型的高增益自由电子激光方程推广到能包括电子任意三维运动。

Based on this model, I explain some phenomena relative to quantum theories, such as the probability of a particle, quantized energy, de Broglie relations, uncertainty principle, and the highest speed of matter\\\s motion.

给出了该作用力的方程，并由此解释了一些微观的量子现象，如粒子波动性的几率解释，能量的量子化，德布罗意公式，测不准原理和物质运动的最大速度。

Erwin Schrdinger was the greatest contribution scientist of Wave Mechanics, secondary was Louis de Broglie. The Schrdinger equation not only can treat the movement of microscopic particles, but also can analysed some of the macroscopic scientific problems.

对波动力学贡献最大者是物理学家Erwin Schrdinger，其次是Louis de Broglie；前者提出的Schrdinger方程不仅用于处理微观粒子的运动，而且早已用来分析一些宏观科学技术问题。

Finally it analyzes the feasibility that using hydromechanics to analyze traffic flow by contrasting various characters between traffic flow and fluid flow. It analyzes influence of road alignment to basic expressway segment capacity by hydromechanics, and obtains viscous resistance and viscous movement differential equation when the vehicle drives on circular curve segment of expressway. And it infers that viscous resistance is correlated with sideway force coefficient, slope of crown and radius of circular curve. Radius of circular curve, sideway force coefficient and slope of crown are bigger, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on nearside lane of circular curve; but radius of circular curve and sideway force coefficient are bigger, slope of crown is smaller, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on fast lane of circular curve.

最后通过对比交通流与流体流的相似性，运用流体力学分析了道路线形对快速路基本路段通行能力的影响，求出了车辆在曲线路段的粘性阻力，建立了车辆在曲线路段的粘性运动微分方程，并由此推知，粘性阻力与横向力系数、路拱横坡度和圆曲线半径都有关系，当车辆在圆曲线外侧车道上行驶时，圆曲线半径、横向力系数和路拱横坡度越大，粘性阻力就越小，对道路的通行能力影响就越小；而当车辆在圆曲线内侧车道上行驶时，圆曲线半径和横向力系数越大，路拱横坡度越小，粘性阻力就越小，对道路的通行能力影响就越小。

Base on the elastic-plastic contact theories, the calculation model of restitution coefficient both in normal and tangential impacting direction are studied.

本文将以弹塑性接触理论为基础，研究了滚石法向恢复系数、切向恢复系数的计算方法，运用运动学的基本方程研究了滚石在坡面上的运动特征，推导了相关的公式。

It combines the resolution equations of passive time difference of arrival location with actual movement of underwater target, uses the Extended Kalman Filter algorithm, analyses tracking problem of underwater target and the confidence ellipse for every moment.

将被动时差定位的解算方程与水下目标的实际运动相结合，采用扩展卡尔曼滤波算法，分析水下目标的跟踪问题及其每一时刻的置信椭圆。

Considering enough first integrals,such as conservation of energy and angular momentum,the system is integrable by Liouville's theorem.

利用能量积分，根据惠特克定理对系统的动力学方程进行降阶，并根据旋转数给出系统作周期或准周期运动的判别条件。

With the modernization of scientific and technological progress and industrial development, physics, chemistry, biology, engineering, aerospace, medical, economic and financial areas of the many principles and laws can be described as an appropriate ordinary differential equations, such as Newton's laws of motion, gravity law, law of conservation of mechanical energy, energy conservation law, the law of population development, ecological population competition, disease transmission, genetic variation, the trend of the stock's up V, the floating interest rates, the market equilibrium price changes.

随着科技进步和工业现代化的发展，物理、化学、生物、工程、航空航天、医学、经济和金融领域中的许多原理和规律都可以描述成适当的常微分方程，如牛顿的运动定律、万有引力定律、机械能守恒定律，能量守恒定律、人口发展规律、生态种群竞争、疾病传染、遗传基因变异、股票的涨伏趋势、利率的浮动、市场均衡价格的变化等。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐