In this article, using the algebraic method, the metric equations in the high-dimensional Euclidean space, given by Yang lu and Zhang Jingzhong, are generalized to two sites of limited elementary material, the generalized metric equations are obtained, especially and the Cayley theorem is generalized yet.

The Application of High Dimensions Data Mining in Intrusion Detective System;

The complexity of syndromes in traditional Chinese medicine comes from their high dimensions and high ranks.

A scheme of intelligent intrusion detective system based on high dimensions data mining is also presented.

The advances of high-dimensional chaos;

Subspace clustering method for high dimensional data stream;

Traditional Multiobjective Optimization Algorithms are inefficiency in high dimensional decision space.

Support vector machine is a kind of machine study algorithm based on statistic theory,it has special advantage in solving small sample,non-linear and high dimension mode recognition.