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n元数及其性质(Ⅰ)
引用本文:屈鹏展. n元数及其性质(Ⅰ)[J]. 宝鸡文理学院学报(社会科学版), 1993, 0(1)
作者姓名:屈鹏展
作者单位:国营宝成通用电子公司工学院 宝鸡市
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。

关 键 词:n元数  乘积定律  线性结合代数  平面n轴系

THE N-ARY NUMBER AND ITS PROPERTIES(I)
Qu Pengzhan. THE N-ARY NUMBER AND ITS PROPERTIES(I)[J]. Journal of Baoji College of Arts and Science(Social Science Edition), 1993, 0(1)
Authors:Qu Pengzhan
Abstract:This Paper studies the operation property of so called"n-ary matrix", and investigates theuniform correspondence rules. It summarizes uniformed arithmetic operation system about n-di-mension real rector(addition,subtraction,multiplication and division), thus leads to the inventionof the n-ary number. It extends the concept of number-real number and complex number togeneral n-dimension real vector. The result negates the conclusion of [6]and[7]. It also negatesthe conclusion of [8][9]and [10]on the foundation of the new law of product.
Keywords:n--ary nurnber  law of product  linear associative algebra  n axle system of plane  
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