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" The Criterion of Dynamical Stability. To illustrate the meaning of the question imagine a particle to slide down inside a smooth inclined cylinder along the lowest generating line, or to slide down outside along the highest generating line. In the former... "
A Treatise on the Stability of a Given State of Motion: Particularly Steady ... - Página v
de Edward John Routh - 1877 - 108 páginas
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A Treatise on the Stability of a Given State of Motion: Particularly Steady ...

Edward John Routh - 1877 - 128 páginas
...along the lowest generating line, or to slide down outside along the highest generating line. In the former case a slight derangement of the motion would...energy should be a minimum; what is desired is, a EA b corresponding condition enabling us to decide when a dynamically possible motion of a system is...
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A Treatise on the Stability of a Given State of Motion: Particularly Steady ...

Edward John Routh - 1877 - 128 páginas
...along the lowest generating line, or to slide down outside along the highest generating line. In the former case a slight derangement of the motion would...sense of the question, stable, in the latter unstable. corresponding condition enabling us to decide when a dynamically possible motion of a system is such,...
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Philosophical Magazine

1878 - 568 páginas
...along the lowest generating line, or to slide down outside along the highest generating line. In the former case a slight derangement of the motion would...energy should be a minimum ; what is desired is a corresponding condition enabling us to decide when a dynamically possible motion of a system is such,...
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Solving Ordinary Differential Equations I: Nonstiff Problems

Ernst Hairer, Syvert P. Nørsett, Gerhard Wanner - 2008 - 540 páginas
...along the lowest generating line, or to slide down outside along the highest generating line. In the former case a slight derangement of the motion would...sense of the question, stable, in the latter unstable . . . what is desired is, a corresponding condition enabling us to decide when a dynamically possible...
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The Scientific Letters and Papers of James Clerk Maxwell: Volume 3, 1874-1879

James Clerk Maxwell - 1990 - 996 páginas
...along the lowest generating line, or to slide down outside, along the highest generating line. In the former case a slight derangement of the motion would...equilibrium of a system is that its potential energy shall be a minimum; what is required is, a corresponding condition enabling us to decide when a dynamically...
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Concepts of Mathematical Modeling

Walter J. Meyer - 2004 - 452 páginas
...inclined cylinder along the lowest generating line, or to slide down the highest generating line. !n the former case a slight derangement of the motion would...sense of the question stable, in the latter unstable. EXERC1SES 1 Find the equilibrium level or levels of each of the following. Then check for the existence...
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