“quaternion”的概念、定义、习题解题方法及翻译-数学辞典

单词

quaternion

释义

quaternion

The complex number system can be obtained by taking a complex number to be an expression a + bi, where a and b are real numbers, and defining addition and multiplication in the natural way with the understanding that i2 = −1. In an extension of this idea, Hamilton introduced the following notion, originally for use in mechanics. Define a quaternion to be an expression a + bi + cj + dk, where a, b, c, and d are real numbers, and define addition and multiplication in the natural way, with

All the normal laws of algebra hold except that multiplication is not commutative. That is to say, the quaternions form a division ring. See also division algebra.

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。