This paper discusses the technology of reasoning based on case of coupling neural network,the typical implemetation framework of reasoning based on case,the cases indexing modelbased on obligatory object and the three levels organization of example.

So,a new approach for the knowledge representation of product family model based on constrained object is proposed.

The paper gives a knowledge representation model of switch operation on high-level concept, and then proposes a simulation technique of switch operation based on satisfaction of constrained object state mapping and equipment restraint rules.

By establishing binary symmetric constraints, two constrained flows of the hierarchy are presented, which are then reduced to Hamiltonian systems.

In this paper, by means of symmetric constraint, a new integrable system is obtained, and the ralation between the system and the following eigenvalue problem is discussed.

By establishing binary symmetric constraints,two constrained flows of the hierarchy are presented and reduced to Hamiltonian system.

In this paper, a symmetry constraint is proposed for the Lax pairs and theadjoint Lax pairs of Broer-Kaup systems.

Two groups of constrained flows of the hierarchy which reduce to generalized Hamiltonian systems are presented by establishing binary symmetry constraints.

A Linear isospectral problem is established by choosing a subalgebra of the Loop algebra 1 ,a new intrgrable Hamiltonian hierarchy of equations is derived and that its binary nonlinearized spatial part and temporal part are finite dimensional Liouville complete intrgrable Hamiltonian systems under a higher order symmetry constraint is proved.