Compared to classical vector cancellation method, a wide band and multi-point carrier feed-through nulling using digital signal process method is given by analysis of the method and system structure.

This treatise attempts to explain the application of dual vector calculating the pole at the end in open loop mechanism to the calculation of poles in mechanism, and examples are given to illustrate the caluclation of the close loop mechanism of various types.

The reaction on an end pole for permissible relative motion of all pairs in the open loop mechanism is quantitatively analysed using the dual vector theory.

Lagrange s equation of multi9rigidbody openchain system is described simply and compactly through dual numbers,dual vectors,dual angles,dual mass operator,momentproduct operation and moment product derivative.

Furthermore,according to the location relativity of terrain tiles,a terrain data declustering method based on algebraic techniques using pair of base vectors is proposed to distribute the terrain tiles in multiple object-based storage devices,fully using the parallelity of object-based storage.