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September 3rd, 2019, 04:56 PM   #1
Y1N
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I share with you an article entitled “Spherical-vectors and geometric interpretation of unit quaternions”. this paper gives an algebraic structure to the vector-arcs (which I call spherical-vectors) introduced by W. R. Hamilton in his geometric model for the group of unit quaternions. It allows us first to represent geometrically the algebraic structure of unit quaternions on the unit sphere of R^3, and then to introduce an exponential notation of quaternions that obeys the algebraic properties.

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