This paper demonstrates what boundary axioms are and the condition under which boundary axioms equal the axioms of open sets.

Post-merger Performance and Corporate Boundaries: A Transaction Cost’s Perspective;

The boundary treatment of the fourth-order compact finite difference scheme for the incompressible Navier-Stokes equations;

A new method of boundary treatment in finite difference method;

The basic theory of LBM is analyzed in detail,the new methods for curved boundary treatment are introduced.

An ideal boundary, which stands for the limit condition of real feature under meeting design demands, can be formed by suitable dimensional and geometrical tolerances.

On ideal boundary condition, a necessary and sufficient condition for conformal equivalence of an open Riemman surface and its smooth covering surface are given in this paper.

For the problem of large amount of GIS map data,the algorithm of data compression by multi-resolution analysis and border processing is presented.

With comparison and analysis in the selection of four typical wavelet bases in practical application,this paper discussed such selection when we adopt Multi-Resolution Analysis to do the wavelet based image compression and the influence of the border processing on the selection.

On the base of Mallet algorithm for wavelet transform, this paper provides a method for border processing of vector relief data condensation based on spline wavelet transform according to the properties of wavelet filters, And the experiments were given.