Kinematic Applications of Hyper-Dual Numbers

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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International Electronic Journal of Geometry-Cover

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2008
Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu

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