- International Electronic Journal of Geometry
- Vol: 14 Issue: 2
- Kinematic Applications of Hyper-Dual Numbers
Kinematic Applications of Hyper-Dual Numbers
Authors : Selahattin Aslan
Pages : 292-304
Doi:10.36890/iejg.888373
View : 15 | Download : 6
Publication Date : 2021-10-29
Article Type : Research
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