Abstract
Basing on the Newton-Euler Newton-Euler laws laws of mechanics we derive the equations which describe the dynamics of the coin toss, the die throw, and roulette run. The equations for full 3D models and for lower dimensional simplifications are given. The influence of the air resistance and energy dissipation at the impacts is described. The obtained equations allow for the numerical simulation of the randomizer's randomizer dynamics and define the mapping of the initial conditions into the final outcome. © 2009 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Strzałko, J., Grabski, J., Perlikowski, P., Stefanski, A., & Kapitaniak, T. (2009). Equations of the randomizer’s dynamics. Lecture Notes in Physics, 792, 41–45. https://doi.org/10.1007/978-3-642-03960-7_3
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