Xu Guangqi,Matteo Ricci and Elements;

Taking Euclid s famous work Elements as the main clue, the present article deals asith the mathematics mentality in ancient Greek with Euclid as the representative of the time Elements is a monumental work of the earliest application of axiomatization method.

His translate "Elements", and lead into the logic of deductive reasoning, propose revolution of scientific research methods advocated in the Chinese, he advocated practical learning, affirmed the intention of scientific research groups, these studies has had a major impact to the development of modern science and technology in China.

An Investigation on the RelatiAn Investigation on the Relation between Dai-Zhen’Philosophy and Elements;

Many places are revised on the first 3 volumes of Xu Guangqi s Elements now kept in the Shanghai Museum.

In this paper, using comparison method we study the historical back ground, contents, mathematical method, communication of Nine Volumes of Arithmetic and Elements, and their influence on modern mathematics.

An efficient and practical stochastic gradient algorithm for calculating structural reliability index is presented in this paper on basis of geometrical principle of reliability index.

Based on the geometrical principle of reliability index,a new optimization model is produced.

The two methods are developed based on geometrical principles.

Based on comprehensive analysis of common collision detection method,AABB bounding Boxes method is adopted in collision detection research of virtual orthodontics,through the construction of the bounding box binary tree,idiographic implement approach of collision detection is presented,and more basic geometry element collision detection are discussed.