Given a positive integer p and a UPP-k digraph Γ,the Hoffman polynomial and the spectrum of the generalized cycle C_pΓ are obtained.

Because expert did not refer to how to determine whether there is flow-generating cycle in generalized network,this thesis presents the algorithm for determining whether there is a flow-generating cycle independently based on searching minimum mean cycle,and prove the accuracy and complexity of the algorithm.

A generalized circle is a simple graph G=(V,E) in which V=V1U……UVn |V1|=……=|Vn|, and E={uv|u∈*Vi,v∈*Vi+1,i=1,……,n-1,i+1=mod ( n )} .

A generalized circle is a simple graph G=(V,E) in which V=V 1∪.

Iterative generalized integrator algorithm based ternary variable structure control for active power filter;

In this mean generalized integrator is used for frequency dividing integral and fuzzy arithmetic is for adjusting PI coefficients timely.

This paper proposes an iterative generalized integrator algorithm to eliminate the steady error in active power filters.

Evaluations of the first kind improper integral integral from n=0 to ∞( [sinαx/x])~ndx;

Comment on the Astringency of Improper Integral

Then, based on the upper-bound theorem,a general solution to unit indentation pressure isobtained through parametric integration and improper integral.