截断的

The coupling effect between elastic deformation and the rigid motion was concerned in the dynamic equations. At the same time, the flexible manipulators were assumed as Euler-Bernoulli beams, the elastic deformation of the manipulator was represented by modality truncation equations, both elastic and gravitational potential energy were considered to calculate the total energy for whole system, therefore the finial dynamic modeling is more accurate and simple than others published.

该方法考虑了柔性机械臂刚体运动和弹性变形之间的耦合影响，并将柔性机械臂假设为一段Euler-Bernoulli梁处理，将弹性变形用截断模态方程表示，同时考虑了弹性势能和重力势能的影响，得到的双连杆柔性机械臂的动力学模型具有模型准确、结构简单等特点。

In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

Automatic differentiation and implicit function differentiation rule were used to calculate the precise absolute and relative sensitivity coefficients, with no truncation error introduced.

提出一种基于自动微分和隐函数求导法则的精馏塔优化计算灵敏度分析方法，可以求出精确的、无截断误差的灵敏度系数，以反映精馏塔模型中各种不确定因素变化所引起的改变和影响。

In the numerical simulation, the new formulation not only remedies the boundary deficiency problem in the original SPH but also more efficiently repairs the truncated integral in kernel approximation caused by discontinuity and eliminates the errors from particle inconsistency in discontinuous region.

比较不同SPH方程近似二次函数的结果，新方法不仅改进了传统SPH方法存在的边界缺陷问题，同时在非连续区域内也能更有效地修复由非连续引起的核近似截断积分和消除粒子不一致性所造成的误差。

Starting from the concept of Measured Equation of Invariance and the local equivalent theorem, it regarded the determination of the truncation boundary condition as a question of field simulation in a small area near the grid boundary. The practical disposal in the 2D and 3D cases was discussed.

基于测度不变方程的概念和局部等效原理，将截断边界条件的确定归结为网格边界上一小区域的电位场模拟问题，并讨论了在二维、三维情况下的具体处理。

In chapter two, based on the property of uniform plane wave, field at boundary node is expressed with field in the computation region and expanded as Taylor's series. By truncating it at second order, a concise ABC is obtained.

首先，在第二章中，利用均匀平面波的特性，将边界节点上的场用计算区域内部的场表示，利用Taylor级数展开并截断到二阶，得出了一种形式十分简明的频域二阶吸收边界条件。

It is shown for the static and spherical black holes that thecutoffs are commonly expressed by the square of proper distance between thebrick-wall and the horizon.

结果表明，对于一般的静态球对称黑洞，截断因子的形式是一样的，都可以表示为与视界的固有距离的平方。

The minimum distance method is used to match SVD feature extraction and the truncation error method is for PCA.

针对奇异值分解的特征提取采用的是最小距离分类法，针对主成分分析的特征提取采用的是截断误差分类法。

The stability condition and local truncation error for the schemes are discussed.

对求解三维热传导方程利用待定参数法构造出一族对称的含参数的，截断误差为O的便于计算的三层显格式，并讨论了其条件稳定性。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。