摘要
本文研究了所谓“几元阵”的运算特性,考察了二元阵与复数的一致对应规律,概括出关于n维实向量的统一的算术运算(加法、减法、乘法、除法)体系,从而导致n元数的发现,把数的概念——实数和复数,推广到一般的n维实向量。
This Paper studies the operation property of so called“n-ary matrix”,and investigates the uniform correspondence rules.It summarizes uniformed arithmetic operation system about n-di- mension real rector(addition,subtraction,multiplication and division),thus leads to the invention of the n-ary number.It extends the concept of number-real number and complex number to general n-dimension real vector.The result negates the conclusion of[6]and[7].It also negates the conclusion of[8][9]and[10]on the foundation of the new law of product.
关键词
n元数
线性结合代数
四元数
n-ary number
law of product
linear associative algebra
n axle system of plane
