查询词典 hermite normal form

The research on the nature, construction, advantages and disadvantages of the Hermite spline.

论文的主要研究内容如下：(1)研究了CMM和立体视觉系统的设备集成。

A class of Hermite-Bezier fitting surface with condition of tangent vectors is studied in this paper.

本文基于Kirov定理，利用Hermite方法，研究带有附加导数条件的Bezier曲面。

According to project operator concept, the many-knot spline and Hermite many-knot spline surfaces, which have the schemes of Boolean sum and Tensor product, are set up in this paper.

本文根据投影算子的概念，构造了多结点样条、多结点Hermite样条的布尔和曲面和张量积曲面。

From the above papers ,The problem about Hermite trigonometric interpolation on different trigonometric function spaces is always ignored.

从现有文献看，各个不同三角函数空间上的三角Hermite插值问题一直被人们忽略。

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。

In chapter 5, we shall consider biorthogonal multiwavelets systems with multiplicity 2r associated with Hermite interpolation refinable functions.

在第五章，主要研究对应于Hermite插值函数的2r重双正交多小波系统。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用，我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题，主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式，另一方面我们研究了多元插值在有限元中的应用，主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

First, we introduce the definition of Full Hermite interpolation and the Vandermonde matrix, and two lemmas which are most important for solving the problem.

首先介绍了完全Hermite插值问题和有重Vandermonde矩阵的定义，并介绍了两个重要的引理。

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。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。