Volume 17, Issue 1 (4-2022)
IJMSI 2022, 17(1): 227-237 |
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Crasmareanu M. Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles. IJMSI 2022; 17 (1) :227-237
URL: http://ijmsi.ir/article-1-1418-en.html
URL: http://ijmsi.ir/article-1-1418-en.html
Abstract:
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.
Type of Study: Research paper |
Subject:
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