查询词典 hermite interpolation polynomial

At the end of this chapter,theproblem of convergence for the process of Hermite trigonometric interpolationis discussed.

本章最后讨论了Hermite三角插值过程的收敛性问题。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

It also shows that,for"reasonable"Hermite data,the "good" couple of PH cubics can be directly constructed,obviating the need to compute and compare all four solutions.

对于&合理&的Hermite数据，本文还给出了不需计算和比较所有的四个解便可直接构造&好&的三次PH曲线偶的方法。

A new method for producing flat-topped beams: Hermite-Gaussian beam combination .

一种产生平顶光束的新方法：厄米高斯光束的合成。

In Chapter 3, we present a Hermite interpolating method to evaluate its values.

相比于以前介绍的多项式方法，此方法不但能避免矩阵的病态，而且提高了计算的精度和效率。

Middle English: from Old French hermite, from late Latin eremita, from Greek erēmitēs, from erēmos 'solitary

图片这是一位隐居的，与世隔绝的老人。

We develop a statistical mechanics for this multi-polynomial distribution based on the equal a priori probabilities and the probability theory.

这样就可以利用等概率原理和标准的概率论建立一个适用于有限粒子数的多项式分布统计力学。

The number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation.

并利用关于Abel方程的这些结果得到了一类n次多项式系统在一定条件下极限环的个数和稳定性。

In chapter 4, a family of two-parameter operators on Abelian group is introduced and its interpolation theorem for approximation is established.

所得的结果包含了R.DeVore定理作为特款，还包含了算子逼近的插补定理，是非线性逼近方面的一项基础性工作。

Previous interpolation algorithms have relied on explicitly constructing all four solutions,and invoking a suitable measure of shape,the absolute rotation index or elastic bending energy to select the"good"interpolant.

已有的插值算法都是依赖于构造出所有四个解，利用绝对旋转指标或弹性弯曲能量来找出这条"好"的插值曲线。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？