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- W2793325382 abstract "The matter at issue in the present chapter is specific of the Euclidean displacement group D(ℰ) D ℰ of the three-dimension Euclidean oriented affine space ℰ ℰ and its Lie algebra D(ℰ) D ℰ , to simplify, from now on they will be respectively denoted by D D and D D . From the standpoint of real algebra and real analysis, the structures of D D and D D were studied in details, in particular D D is a Lie group acting on D D by the left action A ⟼ A * which is nothing but the adjoint action. We now take another standpoint which is based on dual numbers and was introduced by Kotelnikov in Kazan in 1895 (in a today unavailable article), expanded by P.M. Dimentberg (in Russian) or (1965, in English), A. T. Yang and F. Freudenstein (1964), G. R. Veldkamp. We follow the coordinatefree presentation introduced in D.P. Chevallier (1991)." @default.
- W2793325382 created "2018-03-29" @default.
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- W2793325382 date "2018-01-01" @default.
- W2793325382 modified "2023-09-27" @default.
- W2793325382 title "Dual Numbers and Dual Vectors in Kinematics" @default.
- W2793325382 doi "https://doi.org/10.1016/b978-1-78548-231-1.50002-3" @default.
- W2793325382 hasPublicationYear "2018" @default.
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