Considering the engineering characteristics of stress and strength,the discretizationof continuous random variables is adopted as a basic research approach in thisdissertation and the universal generating function is introduced,which is a fundamentaltool to calculate probability of discrete random variables.

The Realization of a General Function for Displaying Dynamic Data in DropDown ListBox Control under PowerBuilder;

A universal function of heater units is constructed t o calculate the performace of themodynamic systems.

Equivalence between generating function method and Riccati transformation method for LQ terminal control

With the theories of grey system,the present paper discussed the fatigue properties of fiberglass complosite materials,and founded the generating function between alternating stresses and logarithmic cycles.

By using the theories of grey system,this paper discusses the fatigue properties of Fiber Sucker Rods(FSRs),and establishes the generating function between the alternating stress to the logarithmic cycle-index.

For the formation flying control system with ellipse reference orbit,based on Hamilton-Jacobi equations,a new computation approach of generating functions is presented.

By using ″the decreasing order recursive method″ and the generating functions of two kinds of Chebyshev polynomials, the purpose of this paper is to establish the general results of the closed computational formulae on the multiple sum of the Chebyshev polynomials of the second kind and the .

This paper gives three kinds of solutions to Catalan numbers by different models, among which the methods of combination significances and generating functions are the better ones.