Based on the construction of the Lyapunov function with relaxed cross-term in existence,by using the basic recursive forwarding,the construction is extended by reapplying it step by step,by augmenting the subsystem,which enlarges the applied range for the nonlinear feedforward systems.

Recursion method, and the calculation on magnetism of clusters;

2 crystal and amorphous alloy was studied by recursion method.

A fast recursive algorithm of discrete Hartley transform;

Building treeview with recursive algorithm in JSP;

Mathematical Model and Its Recursive Algorithm for Intelligently Editing and Recording CD Tracks;

The electronic structure(Fermi level,structure energy,environment sensitive embed- ding energies etc)of(1/3)〈1120〉edge dislocation inα-Ti phase and the crack formed by edge dislocation piling up were calculated by using Recursion method.

The electronic structure parameters (Fermi energy level, structure energy, surface energy, cluster energy and environment-sensitive embedding energy) of α-Ti and the crack were calculated by using the recursion method.

The environment-sensitive(embedding) energy(ESE) of yttrium(or iron) atom inside grains,at grain boundary and α-liquid phase(interface) was calculated by the recursion method.