Multifilters and prefilters: Uniqueness and algorithmic aspects

In this paper we study the structure of prefilters which ensure a certain approximation order of a given multifilter system. We show how all prefilters can be obtained from the generic one and that in general these prefilters are necessarily rational filters, but point out how a judicious choice of parameters can be used to obtain FIR filters for the approximation orders 1,2,3$1,2,3$. Moreover, we illustrate the results by giving prefilters for the standard examples of multiwavelets.     

石荠苧不同药用部位总黄酮及微量元素含量的测定

采用分光光度法测定了石荠芋不同药用部位总黄酮的含量,采用电感耦合等离子发射光谱法测定了其中微量元素的含量。结果表明,叶中总黄酮含量最高,根次之,茎最少;根、茎、叶中均含有Cu、Fe、Mn、Zn、Co等多种人体必需的微量元素,其中Fe含量最高,且叶中明显高于根、茎;3个部位均未检出有害重金属As,而Hg、Pb含量均未超标。该结果可为石荠芋不同药用部位的利用和药材的开发提供科学依据。     

Quadrature rules for rational functions

Summary. It is shown how recent ideas on rational Gauss-type quadrature rules can be extended to Gauss-Kronrod, Gauss-Turán, and Cauchy principal value quadrature rules. Numerical examples illustrate the advantages in accuracy thus achievable. Received June 21, 1999 / Revised version received September 14, 1999 / Published online June 21, 2000     

A New Method of Constructing the Functional Integral Directly from Hamiltonian in N (> 2)-Dimensional State space

Using the new method of constructing the functional path integral in state space, we accomplished the construction of the functional path integral in N(> 2)-dimensional state space, and illustrated it with the example of n = 3 dimensional case that leads to the same results with others.