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characteristic coordinates
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  特征坐标
     In this paper,the higher-order asymptotic solution to the Cauchy problem of a nonlinear wave equation is found by using a computer algebra-perturbation method. The secular terms in the solution from straightforward expansions are eliminated with the straining of characteristic coordinates and the use of the renormalization technique, and the four-teru uniformly valid solution is obtained with the symbolic computation using a computer algebra system.
     本文采用计算机代数-摄动法讨论一个非线性波动方程的Caychy问题高阶渐近解,将特征坐标变形与重整化方法相结合,消除直接展开解的长期项,并利用计算机代数软件进行符号运算,得到该问题的四项摄动解,所得的渐近解与数值解的比较表明:对较小的ε,两者相吻合;
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  “characteristic coordinates”译为未确定词的双语例句
     mathematics model of taped weld is built based on the re-exploit of AutoCAD. It is deduced that projection vector of characteristic coordinates of weld and torch relative to reference coordinates.
     对典型焊缝 (马鞍型 )基于AutoCAD的二次开发建立数学模型 ,推导出任意马鞍型曲线焊缝上任意焊点的特征坐标系在基准坐标系上的投影矢量 ,进而获取机器人焊枪尖端的坐标系相对基准坐标系转换矩阵。
短句来源
     The idea of"building block"is adopted to catch the character of complex seam welding,characteristic coordinates frame of weld ing is brought up;
     采用“搭积木”的思想提取复杂工件焊缝的特征信息,针对提取工件的特征信息提出并建立了焊缝的特征坐标系;
短句来源
  相似匹配句对
     It is characteristic of expansion.
     这种改造的特点是它的扩张性。
短句来源
     Analyse of characteristic
     美国科技创新体系的构成与特征分析
短句来源
     Tangential Coordinates
     曲线的极切线坐标及其应用
短句来源
     calculates the two dimension image coordinates of characteristic points accurately;
     计算两个CCD摄像机拍摄的特征板图像上特征点的精确二维图像坐标;
短句来源
     (3) The database of the mean coordinates of each subgroup’s characteristic points could be formed.
     (3)对各亚类X线头颅侧位片的特征点坐标值进行平均,可以得到其坐标数据库;
短句来源
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  characteristic coordinates
The description of the inviscid, compressible flow of a gas using characteristic coordinates is a classical part of the literature and will be found in such references as Courant and Friedrichs (1948) and Whitham (1974).
      
This behavior is analyzed by the use of matched asymptotic expansions in the plane of characteristic coordinates.
      
The relation between characteristic coordinates and comoving ones is discussed and used to interpret a number of special solutions.
      


In this paper,the higher-order asymptotic solution to the Cauchy problem of a nonlinear wave equation is found by using a computer algebra-perturbation method.The secular terms in the solution from straightforward expansions are eliminated with the straining of characteristic coordinates and the use of the renormalization technique, and the four-teru uniformly valid solution is obtained with the symbolic computation using a computer algebra system. The comparison of the derived asymptotic solution...

In this paper,the higher-order asymptotic solution to the Cauchy problem of a nonlinear wave equation is found by using a computer algebra-perturbation method.The secular terms in the solution from straightforward expansions are eliminated with the straining of characteristic coordinates and the use of the renormalization technique, and the four-teru uniformly valid solution is obtained with the symbolic computation using a computer algebra system. The comparison of the derived asymptotic solution and the numerical solution shows that they coincide with each other for smaller ε and agree quite well for larger ε (e.g.,ε=0.25).

本文采用计算机代数-摄动法讨论一个非线性波动方程的Caychy问题高阶渐近解,将特征坐标变形与重整化方法相结合,消除直接展开解的长期项,并利用计算机代数软件进行符号运算,得到该问题的四项摄动解,所得的渐近解与数值解的比较表明:对较小的ε,两者相吻合;对较大的ε(如ε=0.25),两者也相当符合。

The idea of "building block" is adopted to catch the character information of complex spaced weld.Characteristic coordinates of weld is brought up; mathematics model of taped weld is built based on the re-exploit of AutoCAD. It is deduced that projection vector of characteristic coordinates of weld and torch relative to reference coordinates. This study is very important to offline programming of arc robot in spaced weld.

本文采用“搭积木”的思想提取复杂工件焊缝的特征信息 ,针对提取工件的特征信息提出并建立了焊缝的特征坐标系 ;对典型焊缝 (马鞍型 )基于AutoCAD的二次开发建立数学模型 ,推导出任意马鞍型曲线焊缝上任意焊点的特征坐标系在基准坐标系上的投影矢量 ,进而获取机器人焊枪尖端的坐标系相对基准坐标系转换矩阵。这些研究对空间焊缝的弧焊机器人离线编程提供了重要的技术支持

The idea of"building block"is adopted to catch the character of complex seam welding,characteristic coordinates frame of weld ing is brought up;The mathematics model of seam is built based on the re-exploit of AutoCAD.It is deduced that the projection vector of characteristics coordinate of weld and torch relative to reference coordinates.This study is very important to offline programming of arc robot in spaced welding.

采用“搭积木”的思想提取复杂工件焊缝的特征信息,针对提取工件的特征信息提出并建立了焊缝的特征坐标系;对典型焊缝基于AutoCAD的二次开发建立数学模型,推导出任意马鞍型曲线焊缝上任意焊点的特征坐标系在基准坐标系上的投影矢量,进而获取机器人焊枪尖端的坐标系相对基准坐标系转换矩阵。这一研究对空间曲线的弧焊机器人离线编程提供了重要的技术支持。

 
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