多项式

Therefore,we know that under the mean of statistics, interpolation operators are not only ideal algorithm for realizing optimal approximation polynomials computation,but also ideal computing tool for realizing optimal information- based operation,and the property of their recover functions are good.

这说明了在统计学意义下，插值多项式算子一方面是实现最佳逼近多项式计算的理想算法，另一方面(来源：ABCdd论文网www.abclunwen.com)是实现最优信息基算法的理想计算工具，且具有性质优良的恢复函数。来源：AB03c303C论文网www.abclunwen.com

The problems are investigated by using polynomial interpolation and symbolic computation, and the proposed method is applied for curve and surface cases.

基于多项式插值和符号计算的思想，研究了Bernstein多项式函数复合问题，并将其应用于曲线曲面的情形。

The experimental results show that the polynomial interpolation has higher accuracy and better data duplication. Therefore, this system uses polynomial interpolation to realize sub-pixel edge localization.

实验结果表明，多项式插值法具有更高的测量精度，数据重复多，所以本系统采用多项式插值法来实现亚像素级边缘定位。

Based on polynomial interpolation and approximation theory,a Chebyshev orthogonal basis neural network is constructed in this paper.

根据多项式插值和逼近理论构造一个切比雪夫正交基神经网络，其模型采用三层结构并以一组切比雪夫正交多项式函数作为隐层神经元的激励函数。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

By using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [13] , [73] ); B-net form of bivariate splines function; discriminant sequence of polynomial (cf. [13] , [73] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite.

3：利用杨路，张景中，侯晓荣在文献（[13]，[73]）中关于一元多项式实根的显式判准，以及二元样条函数的B-网形式，多项式的判别序列和Sturm序列的最高次数项系数序列的变号数，本文给出了两个分片代数曲线的实交点数的计算公式。

On the basis of determining interpolation neighborhood, this paper factures many geochemistry plots by using more spatial interpolation of the deep penetrating geochemical data in the study area. The methods include inverse distance weighted interpolation, global polynomial interpolation, local polynomial interpolation, radial basis function, simple Kriging and universal Kriging, etc.

文中在确定插值邻域的基础上，应用多种空间插值方法对研究区的深穿透地球化学数据制作了多个地球化学图，如反距离加权插值法、全局多项式插值法、局部多项式插值法、径向基函数法、简单克里金法、泛克里金法等。

Boundary polynomial point interpolation mesh-free method and boundary radial point interpolation mesh-free method were presented, based on polynomial basis and radial basis respectively for transient eddy current analysis, and their interpolation shape functions satisfy the Kronecker delta function and the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column was set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM was analyzed as well.

运用多项式点插值法和径向基点插值法构造形函数，推导了适合于工程电磁场瞬态涡流问题的多项式基点插值边界无单元方法和径向基点播值边界无单元方法，这两种方法的空间插值形函数满足Kronecker delta条件，从而强加边界条件可以直接施加在边界点上，以金属长方柱的瞬态涡流分析作为数值算例，证实了两种方法的正确性和有效性，并对两种基类的点插值法进行了精度分析和比较。

With the adoptation of properties of Laguerre polynomials and the primary method ,some calculation formulas for Laguerre Polynomials and Γ Function are obtained.

运用初等方法和Laguerre多项式的性质得到了Laguerre多项式和Γ函数的计算公式。

It takes the function made up of Legendre orthogonal polynomial as displacement function, and use Galerkin method to solve this function. The methods calculating formulas is very simple, so the method can avoid the great calculating difficulty of traditional simplified methods.

正交多项式伽辽金法选取由勒让德正交多项式组成的函数作为位移函数，利用伽辽金法进行求解，计算公式简单，避免了一般简化计算方法由于计算公式的复杂所带来的计算困难。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。