Treatise of Physics

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proposition 28.38 Rayleigh's bound on the lowest frequency

open in the book · parts/03-classical-mechanics/11-oscillations-waves.tex:1263 · p. 959

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proposition 28.38: Rayleigh's bound on the lowest frequency28.38definition 16.75: Rayleigh quotient16.75equation 28.40: eq:osc-m-orthonormal28.40proof : ch:11-oscillations-waves@proof-19proofdefinition 9.54: Sturm–Liouville differential operator9.54equation 16.42: eq:calcvar-sl-from-isoperimetric16.42definition A.462: The weighted space and the energy spaceA.462theorem A.461: Completeness in the weighted and in the energy normA.461definition 28.35: Normal coordinates28.35proposition 28.36: Normal coordinates decouple the motion28.36

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depends_on → Rayleigh quotient declared parts/03-classical-mechanics/11-oscillations-waves.tex:1273
depends_on → eq:osc-m-orthonormal declared parts/03-classical-mechanics/11-oscillations-waves.tex:1273
proves ← ch:11-oscillations-waves@proof-19 declared parts/03-classical-mechanics/11-oscillations-waves.tex:1276