On Dual Type Octonions and Their Properties

2025

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.47000/tjmcs.1590392
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

In this study, we will define dual-type octonions by drawing inspiring from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and non-isotropic dual-type octonions, we present Euler's and De Moivre's formulas for dual-type octonions. Finally, we give a matrix representation of dual-type octonions.