插值函数

One bases on function value and another bases on arithmetic average difference quotient. In this paper, the author mainly studies the approximation properties of both the function value and the derivative of two kinds of splines interpolation mentioned before, and the optimal error constants are obtained finally.

文中分别就这两类插值样条的函数值及一阶导数的逼近性质展开讨论，相应得出这两种插值函数在被插函数分别为一阶连续可导和二阶连续可导情况下的最佳误差常数。

In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数，当其导数值分别取为导数的精确值，一阶差商，以及算术均差商时，便得到三种插值格式，分别为给定导数值的有理三次插值函数，基于函数值的有理三次插值函数，以及基于算数均差商的有理三次插值函数。

Prepared by the cubic spline interpolation function, TSS method diagonal matrix equation function, interpolation function point value function.

C#编写的三次样条插值函数，TSS法求解对角矩阵方程函数，插值点函数值计算函数。

Interpolation functions in the point interpolation method have delta function property, which is convenient to implement essential boundary conditions.

点插值方法的插值函数具有 Delta 函数性质，可以很方便的施加本质边界条件，但在计算插值函数时矩阵易出现奇异。

However, its accuracy is not much high in interpolation. On the other hand, interpolation functions in the point interpolation method have delta function property, and it is convenient to apply the essential boundary conditions.

而点插值方法的插值函数具有Delta函数性质，可以很方便的施加本质边界条件，不利之处是在计算插值函数时矩阵易于奇异。

The approximation of field variable by RPIM is performed in a parameter domain. The shape function of RPIM possess Delta function's property.

该方法利用径向点插值方法，在参数域对每一个非样本点的支持域进行过点插值，构造出具有Delta函数性质的插值函数，能够实现参数域场变量的快速插值近似。

The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS .

文章介绍一类可微的分形插值函数，探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件，在此基础上给出样条分形插值函数的定义，并讨论它所具有的部分收敛性质。

Using the quartic rational spline function, we can construct a net of feature curves passing through the four corner points P_ which situate at the rows (U-direction) and columns (V-direction) of a m×n rectangular control mesh.

本文构造了3／1型插值有理样条即分子、分母分别为三次、一次多项式的插值函数，该样条函数不仅可通过导数参数的选取，使得插值函数保单调，还可使得插值函数保凸。

In this paper, a decision method as well as the proof for existence of vector-valued rational interpolants are given, and the expression of the rational interpolants' numerator and denominator are given.

这里利用标量有理插值函数插值存在性的思想，引入Newton基函数，给出并证明了向量值有理插值存在性的一种判别方法。

The simulation example of SMA-13 shows that real road surface texture has the nearly same fractal dimensions with corresponding FIF curve and the application of FIF method in erose curve simulation is feasible.

通过对分形插值函数构成算法和纵向压缩因子取值方法的研究，给出了基于分形插值函数的路断面构造模拟方法和MATLAB语言编制的模拟流程图；对SMA-13马歇尔试件断面构造的拟合分析表明，实际路面断面构造和分形插值曲线在精度范围内具有一致的分维数，说明分形插值方法对路面断面构造等不规则曲线的拟合具有良好的适用性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐