we obtained the following results:1 With the concept of uniformly forward subsets of the spaces c(X),essentially bounded subsets of the spaces l∞(X) and uniformly exhaustive subsets of the spaces l~p(X) and the description of operator series family of l_p~β(X),we get a equipollence proposition about uniformly forward,essentially bounded and uniformly exhaustive subsets.

The high order linear dissipative compact schemes given in the reference 2 can restrain oscillations induced by high frequency waves well.

Spectrum characteristic of linear dissipative compact schemes and corresponding fully-discrete forms based on m-order Runge-Kutta algorithm are investigated by Fourier analysis.

Replication is an important strategy to implement distributed database,it can improve the autonomy of every site greatly and maintain the loose consistency of the data copies of every site in the mean time,however,data operations in every site are probable to conflict with each other.

This article introduces the generic technique of transaction processing to distributed databaseis characteristics, discusses the method of making complex transaction into layers and the technique of loose consistency processing to different transaction layers, illustrates the application of transaction processing in China Railway Ticketing and Reservation System.