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- W1988431044 abstract "Hyperbolic rotation is hyperbolically the motion of a smooth object on general hyperboloids given by −a1x2+a2y2+a3z2=±λ, λ∈R+. In this paper, we investigate the hyperbolical rotation matrices in order to get the motion of a point about a fixed point or axis on the general hyperboloids by defining the Lorentzian Scalar Product Space Ra1a2a32,1 such that the general hyperboloids are the pseudo-spheres of Ra1a2a32,1. We adapt the Rodrigues, Cayley, and Householder methods to Ra1a2a32,1 and define hyperbolic split quaternions to obtain an hyperbolical rotation matrix." @default.
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- W1988431044 date "1923-12-01" @default.
- W1988431044 modified "2023-10-14" @default.
- W1988431044 title "The effect of torsion on the thermal and electrical conductivities of metals" @default.
- W1988431044 doi "https://doi.org/10.1016/s0016-0032(23)90904-x" @default.
- W1988431044 hasPublicationYear "1923" @default.
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