1) best approximatidn
最优一致逼近
2) Best uniform approximation
最佳一致逼近
1.
An equivalent characterization of Haar condition is given in this paper,which guarantees the existence and uniqueness of best uniform approximation.
给出了保证最佳一致逼近元唯一存在的哈尔条件的等价定义。
2.
In this paper,interval generalized Ball curves of Wang-Said type(WSGB) is proposed,it can serve as an effective tool for error control and product testing,three methods are investigated for degree reduction of WSGB,namely,perturbation,best uniform approximation method and constrained best uniform approximation method obtained by Chebyshev polynomial.
定义了区间Wang-Said型广义Ball曲线(WSGB曲线),它可作为误差控制和产品检验的有效工具;采用3种方法讨论了其降阶逼近问题,即扰动法、利用Chebyshev多项式导出的最佳一致逼近算法和插值端点的最佳一致逼近方法;给出了各种处理方法的显式误差表示。
3) best consistent approximation
最佳一致逼近法
1.
This article,on the basis of in introducing the Chebyshev approaches theorem and Chebyshev multinomial foundation,has in detail discussed designing the FIR filter using the Chebyshev best consistent approximation,and the error function extreme value characteristics in the process.
在介绍切比雪夫一致逼近定理和切比雪夫多项式的基础上,讨论了利用切比雪夫最佳一致逼近法设计FIR滤波器,并对设计过程中误差函数的极值特性进行了讨论。
4) optimal uniform approximation
最佳一致逼近
1.
Two different methods(linear programming and optimal uniform approximation) were proposed to solve the problem of bounding interval rational curves with lower degree interval rational curves and an example is provided to demonstrate the algorithms.
针对用低阶区间有理曲线来界定高阶区间有理曲线的问题,提出了线性规划和最佳一致逼近两种不同的解决方法,并以实例验证,结果表明最佳一致逼近方法比线性规划方法有更佳的逼近效果并能提供更紧的界。
2.
Two different methods--Linear Programming and Optimal Uniform Approximation are proposed to solve this problem and provide a.
论文讨论了用低阶的区间Bzier曲面来界定高阶的区间Bzier曲面的问题 ,提出了两种不同的解决方法———线性规划及最佳一致逼近 ,最后提供的实例结果表明线性规划方法能得到一个界 ,而最佳一致逼近算法提供了好的逼近效
5) uniform approximation
一致逼近
1.
It was proposed in this paper that the comprehensive evaluation of multiple launcher rocket system may be done with uniform approximation.
从多管火箭炮发射系统整体出发 ,结合影响多管火箭炮发射系统的各种因素 ,建立了一套完善的多管火箭炮发射系统综合指标体系 ,根据多管火箭炮发射系统的特点 ,提出用一致逼近技术对多管火箭炮发射系统进行综合评价的方法。
2.
It proves that:(1) for a band limited signal,if the position of sampling points is distributed according to zero crossings of N th order Chebyshev polynomial, during the finite time length,a nearly best uniform approximation can be obtained; furthermore,if the density of sampling points is more than 2.
证明了一个时限信号采样定理,该定理指出:(1)对于一个带限信号,如果样点按照N阶Chebyshev多项式的零点位置分布,则可在有限的时间长度之内获得信号的近似最佳一致逼近。
3.
We give a characterization of a class of combination of bivariable positive linear operators in uniform approximation.
给出了一类多元线性正算子线性组合在一致逼近意义下的特征刻划。
6) optimal approximation
最优逼近
1.
With the view of the optimal approximation for the formed beams, the radiation pattern and the field distribution in the focus zone of Fresnel zone plate antenna approximation with the fields of the linear array have been studied based on the methods of weighted residue and Prony,which suit for the approximation for the real patterns of various Fresnel zone focusing configuration.
从赋形波束最优逼近的观点入手,应用加权余量法和Prony法,研究基于直线阵列激励方式及其阵元空间分布的优化设计,从而实现菲涅尔区板天线辐射波束及焦区场分布的最佳数值逼近技术。
2.
Based on the representation of interval rational Bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods.
根据区间有理Bezier曲线、曲面的特点,通过一系列数学变换,将其降阶问题转化为多项式的保上界降阶逼近,再应用线性规划和最优逼近方法求解,给出几种逼近算法,并探讨通过约束不等式的松弛,进一步改进逼近效果。
补充资料:一致逼近
一致逼近
uiiform approximation;
一致逼近【扭曲..a四0刘政坦‘佣;p阳”oMep,oe np“6-月It狱elt”e」 同哑6。二e。通近(Chebyshev aPProxj宜坦tion).
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