Under different initial concentration,using the method of maximum nucleation rate and the method of integral mean rate during nucleation,the crystal nucleation order of ammonium paratungsten (APT) is studied.

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.