Kinematic Applications of Hyper-Dual Numbers

Year 2021, Volume: 14 Issue: 2, 292 - 304, 29.10.2021

Selahattin Aslan

https://doi.org/10.36890/iejg.888373

Cited By: 2

Abstract

Hyper-dual numbers are a new number system that is an extension of dual numbers. A hyper-dual number can be written uniquely as an ordered pair of dual numbers. In this paper, some basic algebraic properties of hyper-dual numbers are given using their ordered pair representaions of dual numbers. Moreover, the geometric interpretation of a unit hyper-dual vector is given in module as a dual line. And a geometric interpretation of a subset of unit hyper-dual sphere (the set of all unit hyper-dual vectors) is given as two intersecting perpendicular lines in 3-dimensional real vector space.

Keywords

Dual numbers, E. Study mapping, hyper-dual numbers, hyper-dual angle

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