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Considering the pitch deviation, pitch accumulative deviation, flank angle deviation and their combined influence on the pitch diameter, the authors present a complete differential optimal approximate model in this paper and use the ideal thread to approximate the actual thread radially and axially.

本文建立的螺纹中径当量全微分优化逼近模型,考虑了螺距偏差、螺距累积偏差和半角偏差本身及其相互间对中径的综合影响,并用理想螺纹在径向和轴向二维逼近实际螺纹。

In simulation, with the same number of parameters, the new algorithm gets better approximation precision and less prediction error than those of the hinge-finding algorithm.

仿真实验表明,在参数个数相同的情况下,使用新模型的逼近算法在逼近精度与预测误差两方面都优于使用原模型。

The disadvantages of this method are analyzed. Based on the analyses, an improved training method for the self-organizing map neural network is proposed to reduce the approximation error.

在此基础上,进一步研究该方法的逼近性能,分析其两个不足之处,进而提出一种提高逼近性能的改进神经网络训练策略。

Using the information consistency principle, the first step of the algorithm transforms the identification problem into a constrained convex programming ,the result of which is then used ,in the second step, to approximate systems in the uncertainty set to obtain the identified nominal model based on a polynomial approximation theorem.

第一步通过信息一致性原理把辨识问题转化为受限凸规划问题,第二步利用一个多项式逼近定理在第一步结果基础上,对不确定集中的系数进行逼近,得到辨识出的名义模型。

Finaly, we introduce the Bernstein-Kantorovich quasi interpolant and study the approximation equivalent theorem with pointwise modulus (o≤λ≤1 ) in space L[0,1] and approximation equivalent theorem with Ditzian-Totik modulusin space L_[0,1](1 ≤p ≤ω).

最后,引入Bernstein-Kantorovich拟中插式,利用点态光滑模ω_~(2r)(0≤λ≤1)讨论了其在L_∞[0,1]空间的逼近等价定理和其在L_p[0,1](1≤p≤∞)空间关于模ω_ψ~(2r)的逼近等价定理。

In approximation theory,the approximation of non-smooth function |x| is a very classical problem.

在逼近论中,非光滑函数|x|的逼近问题是一个非常经典的问题。

The characteristics of B|spline basis function is first discussed, based on which B|spline neural network is proved to be a universal approximator.

1引言对于一个给定的非线性函数,我们都知道用神经网络可以以任意的精度来逼近它,原因就是神经网络是全局逼近器[1]。

A new generalized fuzzy hyperbolic model is proposed, which can be seen as the generalization of common fuzzy hyperbolic model. The generalized fuzzy hyperbolic model is proven to be a universal approximator. Two identification algorithms are put forward to identify the model from input/out data.

通过对模糊双曲正切模型的改进,提出一种广义模糊双曲正切模型,证明了此模型可以以任意精度逼近紧集上的连续非线性函数,即此模型具有全局逼近性,并给出其辨识算法。

This paper begin with a review of curves and surfces modeling, then we discuss the parametric polynomial minimal surface. This is followed by a discussion of the representations of catenoids and helicoids. Next, we discuss the numeric approximations to the minimal surfaces with piecewise polygons and B-Spline surfaces.

全文安排如下首先,我们简要回顾曲面造型历史和发展现状在第二和第三章,讨论参数多项式极小曲面;在第四章讨论悬链面和螺旋面的表示;在第五章讨论极小曲面的分片线性逼近;在第六章讨论极小曲面的B-样条逼近;最后,我们对全文做简单的总结。

Due to the deficiency of the hinging hyperplanes model, the result of the hingefinding algorithm is not smooth everywhere.

找链接算法受到所用模型限制,其逼近结果不但不光滑,而且也不是理想的分片线性逼近结果。

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