样条函数

The random spline plays very important role in the approximation and fitting of random function.

随机样条在对随机函数的逼近与拟合中都有重要作用。

Spline functions are importan tools in approximation theory and numerical analysis.

多元样条是计算数学与函数逼近论领域里重要的工具。

The control system consists of a feedback controller, and a feed-forward part that is implemented as a function approximator.

前馈控制器采用B样条网络来做函数逼近器。

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。

For those, this thesis constructions the Hermite B-spline bases scale functions with boundary conditions on the interval. Combining with Garlerkin method, the steps are given to solve differential equation, as an example, it is used to deal with finite-length beam and plate problems.

鉴于以上的原因，本文构造了满足区间上边界条件的Hermite B－样条尺度函数基，提出Galerkin法求解格式，并应用于弹性地基上有限长梁和板问题，给出了数值结果。

This is the 3rd spline interpolation function of the C programming, we hope could be applied.

这是对3次样条插值函数的C程序编写，希望大家可以用到。

Using the concept of the of weighted residual method and choosing the fifth B-spline as a trial function to meet the needs of boundary conditions,the mechanical problem of large deflection of a rectangular thin plate is discussed.

采用加权残值法探讨大挠度力学问题时，用5次B样条作为未知函数的试函数，使其直接满足边界条件，这种方法与传统的有限元法相比，具有未知量少，自由度少，连续性强，边界条件容易满足等优点

The AF3 scheme has been used in the adjoint solution for potential flow.

在设计问题中，需要定义的形状函数能够表达一个丰富的设计空间，文中比较了分别使用Hicks-Henne函数和B-样条作为形状函数时，设计过程的不同。

In this dissertation, many works have been done on the basis of the summarization of the merits of all kinds of meshless methods after a large number of relevant references are read and studied. The basic ideas, principles of meshless methods and their development in the recent years are introduced synoptically. Applications of Element-free Galerkin method in elastic foundation plate are studied deeply and some useful conclusions are obtained as follows:(1) Comparisons between numerical solutions and analytical solutions for several different styles of weight functions, including Gaussian weight function, spline weight function and singular weight function etc, are performed. The results show that Gaussian weight function is the best one.(2) Ranges of relevant parameters for Gaussian weight function are given.(3) Influences of nodal distribution schemes and the number of Gaussian integrated dots on computational results are discussed.

在本文中，作者在认真阅读和研究所搜集到的大量参考文献、综合各种无网格法优点的基础上，首先，对无网格法的基本思想、基本原理、发展现状作了概括性的介绍；其次，对无单元Galerkin法在弹性地基板计算中的应用进行了较为深入的探讨：(1)分别对高斯型、样条型、奇异型等不同形式的权函数进行比较分析，数值计算结果与级数解析解的比较表明，高斯型权函数效果较好：(2)对高斯型权函数进行参数研究，得到地基板计算中相关参数的选取范围；(3)对不同节点分布方案和不同高斯积分对计算结果的影响等作了有益的讨论。

I will show systematically how we induce the kernel functions of support vector machine to the Riemannian metric,which makes possible for studying the support vector machine in geometry.

系统的 讲述了SVRM问题、如何构造SVRM的核函数和B样条核函数的几何修正。在这章我们详细的介绍了怎样来用支撑向量回归机解决拟合或逼近问题。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。