圆和循环的四元数乘积和圆对的八元数乘积

IF 0.4 Q4 MATHEMATICS

Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2022-04-01 DOI:10.52547/ijmsi.17.1.227

M. Crasmareanu

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引用次数: 4

摘要

本文讨论了以投影方式考虑的四元数乘积所引起的圆的乘积。导出了这个组成定律的几个性质，通过这种方法，我们得到了一些特殊的数作为单位的根或幂。我们使用八元代数将这个乘积推广到作为有向圆的循环和成对的圆。提出了给定产品的三个应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles

. This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given products are proposed.

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来源期刊

Iranian Journal of Mathematical Sciences and Informatics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量