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The Origin and Role of Invariance in Classical Kinematics

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Space, Time, and Mechanics

Part of the book series: Synthese Library ((SYLI,volume 163))

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Abstract

By classical kinematics (CK) I understand the theory the models of which have the form <P, ℝ ,s>, where P is a non-empty set (of points or ‘particles’), ℝ is the set of real numbers, and s:P ×ℝ → ℝ3 is smooth in its second argument. s is called position function and ℝ denotes time, so ’ s(p,t)= <α1,…, α3>’ has to be read as ‘point p at time t is in position <α123>’.

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References

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© 1983 D. Reidel Publishing Company, Dordrecht, Holland

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Balzer, W. (1983). The Origin and Role of Invariance in Classical Kinematics. In: Mayr, D., Süssmann, G. (eds) Space, Time, and Mechanics. Synthese Library, vol 163. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7947-5_7

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  • DOI: https://doi.org/10.1007/978-94-009-7947-5_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7949-9

  • Online ISBN: 978-94-009-7947-5

  • eBook Packages: Springer Book Archive

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