Titlebook: Mathematics and Mechanics - The Interplay; Volume I: The Basics Luigi Morino Book 2021 Springer-Verlag GmbH Germany, part of Springer Natur

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Damping and Aerodynamic Dragpring–dashpot systems), for which three cases are considered: (.) zero forcing, (.) periodic forcing and (.) arbitrary forcing. Illustrative examples include a simple test to find out when it‘s time to change the shock absorbers of your car. Finally, we consider the aerodynamic drag, specifically th

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Inverse Matrices and Basesreference. These lead us to similar and orthogonal matrices. We also extend the Gram–Schmidt procedure from physicists‘ vectors to mathematicians‘ vectors. Finally, we connect the inverse matrix and the Gaussian elimination procedure, and introduce the L-U decomposition, namely a representation of a

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Luigi Morinox .-vector spaces . and .. In increasing speciality these are the conditions of being completely continuous, compact, nuclear and of finite rank. The whole theory is intimately connected to the properties of the projective tensor product. We therefore begin in §17 by introducing the inductive and pr

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Luigi Morinopreviously known functions. Consequently, the properties of special functions depend crucially on the basic properties of ordinary differential equations. This naturally led to the study of formal differential equations, as in the seminal work of Turrittin [.]; this may be viewed retroactively as a

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