逼近

2Algorithm of approximating to the domain bounded by multiple curves anddistinguishing different material regions is programmed.

研究了对多种曲线组成区域的网格逼近、不同材料区域的识别算法，提出并改进多条曲线交界处网格逼近的算法。

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

At present, the investigations for the properties of these operators are only limited to the functions of bounded variation.

目前， 关于这类和积分混合型算子的逼近性质仅限于对有界变差函数逼近方面的研究。

A one-sided difference approximation is used for convection terms and a second-order central difference approximation for diffusion term.

二阶一边差分逼近用于对流项的离散，二阶中心差分逼近用于扩散项的离散。

By using the spectrum approximation theory of compact operator, the approximation of anisotropic nonconforming ?nite element method for Stokes eigenvalue pronlem are presented and the optimal error estimates are obtained, which are as same as those of traditional ?nite element methods.

利用紧算子谱逼近理论，给出了 Stokes 特征值问题的各向异性非协调有限元逼近方法及最优误差估计，得到了与剖分网格满足正则性或拟一致性关键假设下相同的收敛效果。

Discussing the pre-processing of scanning beam and scatter point cloud data, the automatic or interactive filtering techniques and random sample or grid condensability of point cloud data are explained, and a pre-processing method having actual effect is summarized.

研究已有的模型重建技术，如插值和逼近拟合离散点，利用原型的几何及拓扑信息，构建近似模型来逼近原型；基于原型的几何特征和约束的复原为目标，得到优化的CAD模型。

At first we introduce all kinds of TS model and their characteristic of approximation to arbitrary continuous function, which allows TS model approximate any physical nonlinear system within arbitrary accuracy.

首先介绍了各种形式的TS模型以及它们对任意连续函数的逼近特性，其逼近特性决定了其能以任意精度近似任意实际非线性系统。

The former need establish an asymptotic sequence, research domain, convergence and limit of the sequence.

Picard逼近法的要点是建立一个逼近序列，然后考察这个序列取值范围、一致收敛性和极限的存在唯一性。

The Pade approximation is combined with 3-D frequency-domain finite difference (3D-FDFD) for the first time. The impact of expansion point and the order of rational function on the accuracy and the convergence radius is discussed in this dissertation.

主要包括以下内容：首次将Pade逼近运用到三维频域有限差分法中，详细讨论了Pade逼近中展开点选取、收敛半径与有理阶数的关系问题。

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近，主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶，把一元的结果推广到多元的情形。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。