Kinematic Applications of Hyper-Dual Numbers

Authors : Selahattin ASLAN

Pages : 292-304

Doi:10.36890/iejg.888373

View : 13 | Download : 8

Publication Date : 2021-10-29

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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