The "Pragmatic Studies on International Commtmication (PSIC)",hating evolved from the "Cross-studies on International Communication and Foreign Language-use(CSICFL)" in the past two decades in China,has yielded fruifful achievements in either the application of foreign languages or the pedagogical field of English for graduates.

This paper describes a kind of new simulation modeling method for two intersection using multi-agents.

Moreover we give some characterizations for crossed biproducts.

This note begins with necessary and sufficient conditions for the smash product algebra A#H to be a bialgebra with a quotient bialgebra H and a weak injection from H to A#H , and points out this structure includes biproduct, bicrossed product and bicrossed coproduct as special cases by restricting maps α, β, γ or Δ A to some special maps.

This paper discussed the foundation of bicrossed products with inner action and inner coaction, investigated the conditions of a bicrossed product being to a bismash product, and proved that bismash product is isomophic to Hopf algebra HA.

The purpose of this paper is to begin to lay the foundation of bicrossed products of Hopf algebra.