摘要
复数、四元数的理论早已被人们所熟悉,由于八元数是不交换不结合的代数,所以在研究其理论及应用时遇到很大的困难。近年来,由于八元数在图象识别、神经网络等很多方面得到应用,使得越来越多人对八元数的理论进行研究。本文主要是对八元数的性质进行推广及其相似关系的理论研究。
People are familiar with the theory of Complex algebra、Quaternion algebra.Because the Octonion algebra is neither commutative nor associative, it is very difficult to apply or research its theory .In recent years ,since the Octonion is used a lot in pattern recognition and neural networks etc, there are more and more people paying attention to this researching .The main point for this article is to extend the character of Octonion and dicuss its similar relationship
出处
《广州广播电视大学学报》
2006年第3期54-56,共3页
Journal of Guangzhou Open University
关键词
八元数
相似关系
性质
Octonion
character of Octonion
similar relationship
