查询词典 interpolation formula

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

Then a four-node element formula is given. In order to avoid the inverse of the flexible matrix, Legendre polynomial is adopted in the interpolation. Thus the calculation efficiency is raised.

为了避免单元柔度矩阵的求逆，采用Legendre正交多项式作为插值函数，将求逆运算转变为矩阵的乘法计算，从而提高了计算的效率。

Iterative relationship between parameters of two adjacent interpolation points on a Non-Uniform Rational B Spline curve is obtained based on Taylor formula.

基于Taylor公式得到了非均匀有理B样条曲线上两个相邻插补点参数间的递推关系。

An original basis is constructed on the space in this paper. This basis has the similar properties to Bézier basis of the endpoint and interpolation. Then H-Bézier basis is defined based on the space, also the formula of recursion is given when. Next the properties are discussed.

该文从上构造一组初始基，该基具有类似Bézier基的端点性和插值性，在此基础上定义空间上的H-Bézier基函数并给出了的递推公式，讨论了该基所具有的性质。

Ritz variation method was used to find the numerical relation between the energy near the ground-state of the hydrogen molecular ion H 2 + and the changes of the variation parameter and the bond length,the computation formula of bond length and ground-state energy for H 2 + was also obtained by means of the method of parabolic interpolation .

用Ritz变分法求出了氢分子离子H2 +基态能量附近的能量随变分参数和分子键长变化的数值关系，并用抛物线插值法获得了H2 +键长和基态能量的值及其计算公式，比文献 [1，2 ]更接近于实验值。

Based on variational principle and split-based interpolation finite element method for fast and accurate analysis of normal mode helical antenna,Combination of genetic algorithm and then load the normal mode helical antenna loaded on the value of lumped elements,Load location,and matching network integrated optimal design parameters,And using Sherman-morrisorr Woodbury formula to quickly solce the load component values and load the changed position of the impedance matrix equation to improve the efficiency of optimized design.

采用基于变分原理和剖分插值为基础的有限元法来快速精确分析法向模螺旋天线，然后结合遗传算法对加载法向模螺旋天线上的加载集总元件的值、加载位置以及匹配网络参数进行一体化优化设计，并采用Sherman-Morrisorr Woodbury公式来快速求解加载元件值和加载位置改变后的阻抗矩阵方程，提高优化设计的效率。

The existence and uniqueness of homogeneous elliptic polyharmonic cardinal spline interpolation are proved, the remainder formula and order of approximation in LP (1≤p≤∞)spaces are given, and the extremal problem of sobolev dass in L2 is considered.

获得Rd上齐次椭圆型Cardinal样条插值的存在唯一性，并获得Sobolev类上的函数在Lp（1≤p≤∞）尺度下的插值误差估计，以及Sobolev类在L2尺度下的一些极值问题的解；拓广了Laplace型的结果。

According to the objective of third-order derivative related to torsions, the formula to calculate the cubic optimized Hermite interpolation curves is given. And then we propose a new method to construct curves.

如果以与挠率有关的三阶导数为目标，给出优化三次Hermite曲线的计算公式，从而提出一种新的曲线构造方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。