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On the statistical/harmonic modelling of mechanical manipulators

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Mechanical manipulators are developed according to engineering and scientific principles which are based on fundamental concepts such as those arising from mathematics and physics. Based on these formulations, the first step on the study of a physical phenomena is the development of an adequate model. Usually the fundamental concepts are the differential and matrix calculus and the classical Newtonian physics, while the model consists on a set of differential equations. Nevertheless, several phenomena, such as quantum physics and thermodynamics, may be studied through different mathematical tools namely using statistical methods.

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