To meet the demand of detection velocity,success ratio,anti-noise for real-time image detection,a Particle Swarm Optimization algorithm(PSO) with intergenerational differential feature and globally convergent random feature is proposed to enhance the mechanism of using information between different generations and the mutation.

The Optimize and Investigation of Fingerprint Identification Based on Intergenerational Differential Genetic Algorithms;

For the difficulties and problems during proving the homogeneous polynomials inequalities by the difference substitution,we give a solution way and comment on the Bottema software and the difference substitution of general polynomial.

The main results are the following:with the proper hypotheses,if the problems of inequalities involving symmetric homogeneous functions can be settled via the theory of majorizations or the trivial non-negative of difference substitution,then these problems also can be settled by quasimonotone function method.

Study of multi-nomial semi-positive definiteness in real number field by the means of difference replacement;

A difference replacement demonstration of the geometric inequalities of acute triangle and the corresponding application program

Combining RFD with SDS,the program can automatically prove an extensive class of geometric inequalities involving radicals.

A difference iterative approach on GPS nonlinear base-line is put forward.