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By combining the two good linear approximations with the best linear approximations we present improved algorithms which could increase the attacking speed.

同时,将两个较好的线性逼近与最佳线性逼近相结合,给出了能够提高攻击速度的改进算法。

Douglas and Russell first presented the idea of characteristics in[13],in whichthe diffusion term is included in the derivative of characteristic direction of the solu-tion and the backward difference quotient along the time axis was replaced by it alongcharacteristic direction.

Douglas,Russell[13]最先提出了特征法的思想,其主要特点是将模型方程的对流项隐含在解沿特征方向的导数之中,以沿特征方向的向后差商逼近取代通常方法中沿时间方向的向后差商逼近

Since the remainder is more than half of 10, the best approximation is obtained by rounding up

因为余数大于10的一半,最好的逼近方法是由上界逼近

Since the remainder is more than half of 10, the best approximation is obtained

因为余数大于10,最好的逼近方法是由上界逼近

In this thesis, several optimization design problem in mechanical engineering are solved based on the best uniform approximation theory, and some initial work in the basic theory of the best uniform approximation is done.

本文应用最佳一致逼近理论,解决了机械工程中一些优化设计问题,并在最佳一致逼近问题的基础理论方面做了一些开创性的工作。

Function approximation; best uniform approximation polynomial; deviation point; FPGA

函数逼近;最佳一致逼近多项式;交错点;FPGA实现

Inspired by the wavelets,we introduce the concept of geometric wavelets.We transform the compression into a best uniform approximation which is familiar to us in mathematic,we approximate the signal with polynomials.

受小波方法的启发,我们引入了几何小波的概念,将压缩问题转化为逼近理论中熟知的最佳一致逼近问题。

The best uniform approximation algorithm to approach the catenary suspension and the CAD system using this algorithm to design the catenarian dome of hot blast stove are described in the paper.

介绍了采用最佳一致逼近法对悬链线进行逼近,以及运用此算法进行热风炉悬链线拱顶设计的CAD)系统。

A series of Gaussian digital approximation filters used in roundness measurement were designed on the basis of approximation method and bilinear transformation.

文中用逼近法和双线性变换法,设计了用于圆度测量的高斯数字逼近滤波器,并给出了零相移的递归滤波算法,计算量小,计算效率高,易于实现。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,并给出了其解的表达式,描述了求解问题的算法;讨论了带对称和双对称约束的总体最小二乘问题,利用Ricaati矩阵方程的理论得到了解存在的一个充分条件,分别对对称矩阵和双对称矩阵两种情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,给出了其解的表达式,提出了求解这些问题的算法,并给出了数值例子。

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