Oscillations and Waves

Oscillations and Waves

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'Et mai a€c...a€c si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded nonAm The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonAs linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered comAs puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.1 Forced Synchronization The diagram of a two-circuit generator used by Van der Pol, Andronov and Vitt (see [5, 11]) is shown in Fig. 16.1. At the time, the most important effects typical of the interactions between aquot;elementary generatorsaquot; had anbsp;...

Title:Oscillations and Waves
Author: M.I Rabinovich, D.I. Trubetskov
Publisher:Taylor & Francis - 1989-11-30

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