查询词典 refinable

Then we define a multiscale finite sequence of functions on a bounded interval, which are then proved to be refinable.

然后定义了有界区间上的序列，并据此将上述细分格式应用到有界区间。

This thesis is devoted to study the properties of the solutions of some specialrefinable equations,such as properties of multi-refinable,global linear independence,local linear independence and local polynomial property,etc,by using fractal theory,measure theory and theory of generalized functions.

本文的主要目的是通过用分形几何中的一些想法以及测度论和广义函数中的一些知识来研究一些特殊的细分方程的解的一些性质，如多重可细分性、整体线性无关性、局部线性无关性和局部多项式性质等。

An algorithm for constructing a class of symmetric-antisymmetric orthogonal refinable functions with multiplicity 2r is presented.

给出一类重数为2r的正交对称-反对称多小波的构造算法，即对任给长度为2N的对称-反对称正交多小波，通过本文所给的构造算法可以得到长度为2N+1的对称和反对称多小波。

The purpose of this paper is to investigate the characterizations of smoothness of refinable functions.

本文考虑细分函数在不同空间的光滑性的特征刻画。

Especially, the stability of the refinable function φ is not required herein.

特别地，这里不要求φ的整平移具有稳定性。

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。

In chapter four,we study the absolute continuities and global linear independenceof refinable distributions supported on self-affine tile.

在本文的第四章，我们研究支于自仿射Tile上的可细分分布的全连续性和它们的整体线性相关性。

We extend L_P space to the multiple or multivariate space, then the expression of the refinement equation and the conditions of its convergence is different. Therefore, the conditions of characterization of smoothness of the refinable function is more complicated.

将L_p空间扩张到多重及多元多重空间，则细分方程的表示形式以及收敛的条件有了变化，相应地，对细分函数光滑性的刻画所需要的条件也变得复杂起来。

In chapter 2, we have discussed the characterizition of compactly supported refinable splines and showed that m-refinalbe spline in rectangular grids must be homogeneous differential of linear combinition of shifts of product B-splines.

3我们在简单回顾一元小波及其提升分解算法的同时，讨论了这个算法到高维空间的推广，并具体地分析了由本文方法构造的多元非张量积小波的提升分解问题。

We get a class of refinable distributions which have localpolynomial property and are globally linear independent but are locally lineardependent,So that when M＞N,the Daubechies type scaling functions〓have localpolynomial properties and are globally linear independent but locally lineardependent.

给出了一类细分方程，它们的解具有局部多项式性质并且它们是整体线性无关的但是它们是局部线性相关的。从而得到了当〓时，Daubechies型尺度函数〓具有局部多项式性质并且它们是整体线性无关的但是它们是局部线性相关的。

The circulation, consumption and reproduction of the trilogy have not only testified to its historical significance and literariness, but also invested it with new meanings.

该三部曲的流通、消费与再生产不仅验证了其历史意义及文学性，而切还赋予它以新的意义。

If he thought that he could buy me off, he would be wrong.

如果他认为他可以收买我，那他就大错特错了。