查询词典 geometric difference equation

Besides, we also use local sampling method to approximate functions and geometric curves, and to find the solution of the Laplacian equation locally, several numerical results are presented. This PH.

此外，我们还利用局部采样的方法来逼近函数和几何曲线以及求Laplace方程的局部解，并给出了算例。

Web-based application system of geometric error compensation aims to broaden error compensation technology by using network. SMART-CNC machine tool has been chosen as the object of experiment. Based on the kinematics of multi-body system, the movement equation for SMART-CNC machine tool has been built.Furthermore, web-based error compensation system has been implemented.

基于Web的数控曲面磨床几何误差补偿技术：以误差补偿技术的网络化应用为目的展开研究，选取SMART-CNC 数控曲面磨床为研究对象，运用多体理论，建立了磨床的运动模型，获得了与精密刀具轨迹相对应的逆变刀具路线或逆变数控指令的求解方法，在此基础开发了基于网络的误差补偿软件，构建了网络化误差补偿服务系统。

Keywords Feature;Parametric design;CSG equation;Fixture layout;and Geometric analysis of process

特征； 参数化设计； CSG 方程；夹具布局设计；工艺几何分析

In the analysis, a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method. With different combinations of modes different nonlinear differential equations in modal coordinates were obtained. The Runge Kutta method was used to solve the equations numerically and some features of nonlinear wave vibration were discussed.

在研究过程中，首先，考虑阻尼并引入几何非线性项，建立薄壁圆柱壳的非线性波动方程，然后，采用Galerkin方法对波动方程进行转换，选取不同的模态组合，得到相应模态坐标下的非线性微分方程，最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析。

In order to make motion planning fitting practice,many characteristic of CNC trajectory motion were discussed,such as the geometric,the motion and the time,the relation between orbit function and motional parameter was set up,the differential simultaneous equation about the trajectory motion was derived.

为了让运动规划符合实际，分析了数控加工轨迹运动几何特性、运动特性和时间特性，建立了轨道函数与运动参数的联系，推导出轨迹运动微分方程组。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低；最后举了几个数值试验的例子以说明该类算法在求函数的最值，解超越方程以及整数规划等问题中的应用；数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性，比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

The principle of extrafocal radiation could be used for the calculation of monitor unit. An equation,, is derived to calculate the equivalent field size of a rectangular field, where k is the geometric weighting factor.

计算监控单位可利用非射源产生之辐射的原理，导出公式并接著加以计算，公式中K值为几何比重因子，Varian 21EX直线加速器为1.49。

In the field of spaceborne remote sensing, a geometric collinearity equation of pushbroom sensor with the Kepler parameters of the satellite orbit and the attitudes of sensor has been developed. Testing the sensor model on a SPOT-5 imagery, the planimetric accuracy of object positioning is 83.392m on the ground. According to the orbital dynamical model and the kinematics model of satellite attitude, an algorithm of extrapolative location is developed. Testing the algorithm on CBERS-2 high resolution satellite imageries of central China, when the depth of extrapolation is 300km, the planimetric precision is 53.555m including the measurement errors as well as the modeling error over than the 568m which is the planimetric precision of systematic rectification.

航天遥感方面，利用6个卫星轨道开普勒参数和3个传感器姿态建立了推扫式卫星遥感影像的严格构像方程，经对一景SPOT-5影像实施无地面控制对地目标定位获得了83.392m的平面精度；根据遥感卫星的运动规律，提出了卫星轨道参数、传感器姿态和扫描侧视角的外推算法，用于资源二号卫星影像的外推对地目标定位，当外推深度达300km时，目标定位精度不低于50m。

In chapter 5, according to the equation of potential energy, the redundancy formula is formulated, and the elastic and geometric redundancy is deduced further. Finally, the overall flexibility and kinematically property is evaluated through redundancy for the structures.

第五章，根据势能方程推导出结构冗余度，导出弹性冗余度和几何冗余度，通过冗余度分析研究了结构体系特征和整体柔性。

It's bell can reach over a meter in diameter.

它的身体最大可以达到直径1米多。

Now they are overdue and I shall have to pay a fine.

现在他们过期了，我不得不付罚款。