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Relation between geometrical contour error of inner corner and machining condition is investigated by the experimental plan of Taguchi quality design. Through the quantitative analysis, the geometrical contour error is mainly affected by wire tension and flushing pressure. By regression analysis, a mathematical model is established to estimate cutting path error of corner cutting. According to the estimated cutting path error, the program path is corrected.

研究首先以田口式品质设计实验计画法来探讨加工参数与隅角形状误差间的关系，从变异数分析的结果得知，线张力与冲水压力是对於隅角精度影响最显著因子，应用回归分析建立转角加工路径误差量估测模式，利用此模式以预测不同加工条件下隅角加工路径误差量，依据预测加工路径误差量计算轨迹补偿量，实验结果证明本文所提出轨迹补偿策略可有效提高60%之隅角加工精度。

The stoical and global environment is given, which is abstracted with grid method before the workspace model of the robot being built. With the adoption of the ant colony algorithm, the foraging behavior of ant colony is simulated. According to the optimization condition, the robot tries to find a path which is optimal or optimal-approximate path from starting point to goal, that is global path planning.

本文讨论的机器人环境为静态全局环境已知，通过栅格法对已知环境进行抽象，建立机器人工作空间模型，并采用蚁群算法，模拟蚂蚁觅食行为，根据优化条件搜索出一条从指定起点到终点的最优或近似最优路径，即全局路径规划。

Robot path planning is to give a collision free path or shortest path of a moving robot.

由于空间中的机器人以及各种物体可以通过空间中的多面体加以模拟。

Based on the concept of zero-path tracking in homotopy which is generalized into minimum of energy function path tracking and considering that different homotopy path has greater impacts on convergence speed, a new method is put forward——the non-line homotopic BP algorithm.

本文在将同伦论中的零点路径跟踪概念推广到对多层前馈神经网络能量函数极小点路径跟踪的基础上，注意到不同的同伦路径对收敛速度的影响，提出了一种改进算法——非线性同伦BP算法。

By employing blur synthesizing score to assess the effect the influencing factors give to the traffic states, a congregate of scenes was established to describe the incredibility of traveling time in the transporting web and then the optimal solution of this model was calculated by taking advantage of a model of absolute and relative reliable path finding designed by Minimax theory, choosing a reliable path from jumping-off point to destination and making use of a arithmetic based upon dynamic programming. By so doing, the reliable path to the target could be grabbled when emergency erupted, this would lessen the complexity of how to resolve the proposition of transportation scheduling of relief commodity.

通过对以上问题的研究，可以帮助应急物资保障人员构建出一个可以在突发事件爆发后快速、高效地保障救援物资供应的应急物流系统，为物资运输搜索可靠路径，设计最小化时间与成本物资运输与车辆调度方案，为突(来源：AB71b0C论文网www.abclunwen.com)然爆发的灾难提供有效、实用的应对方案与决策模型。

We have heard of "Katyusha" and talk to, heard of "path" of the chant:"a thin and long winding path, has been leading to fog in the distance, I would like to follow this tortuous path, Follow my love on the battlefield."

我们听过《喀秋莎》的倾诉，听过《小路》的咏叹："一条小路弯弯曲曲细又长，一直通往迷雾的远方，我要沿着这条崎岖的小路，跟着我的爱人上战场。"

On the basis of Venigalla\'s work,we adopted two path-based algorithms, namely,gradient projection algorithm and disaggregated simplicial decomposition algorithm to solve nonadditive path cost traffic assignment problem under different engine operating modes.We compared the above two algorithms in a network example which showed that compared with the traditional Frank-Wolfe algorithm, the two path-based algorithms had a more quicker convergency while getting optimal solution,and it can obtain a satisfying solution in most cases.

2在Venigalla等人研究工作的基础上，分别采用基于路径的梯度投影算法(gradient projection，GP)和基于路径的非集计的单纯分解算法(disaggregated simplicial decomposition，DSD)来求解考虑不同发动机启动模式下，具有非可加路径费用的交通分配问题，在实例计算中比较了这两种算法的计算性能。

Given the pressures of these harsh realities, mankind has no choice but to re-examine its social and economic behaviour and its path of development. Traditional ideas of considering economic growth solely in quantitative terms and the traditional development mode of "polluting first and treating later"are no longer appropriate when considering present and future requirements for development. It is now necessary to find a path for development, wherein considerations of population, economy, society, natural resources, and the environment are coordinated as a whole, so that a path for nonthreatening sustainable development can be found which will meet current needs without compromising the ability of future generations to meet their needs.

在这种严峻形势下，人类不得不重新审视自己的社会经济行为和走过的历程，认识到通过高消耗追求经济数量增长和"先污染，后治理"的传统发展模式已不再适应当今和未来发展的要求，必须努力寻求一条人口、经济、社会、环境和资源相互协调的、既能满足当代人的需求而又不对满足后代人需求的能力构成危害的可持续发展的道路。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

The path taught by the Buddha always have unique quality, what is it that makes the Buddhist path unique? The Buddhist path consist of two component, wisdom and method, or wisdom and skillful means, or in this case: wisdom and compassion.

佛陀所教授的道始终有着其独特的地方，是什么令佛法的修行之道如此独特呢——佛教之道的组成部分有二：智慧与方法，或者说智慧与善巧方便，而在这里我们也可以说是：智慧与慈悲。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。