experiment Mersenne: the laws of the vibrating string

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experiment : Mersenne: the laws of the vibrating stringexperime…equation 28.46: eq:osc-wave-eq28.46equation 35.1: eq:expwa-string-spectrum35.1definition 28.58: Dispersion relation; phase and group velocity28.58example 28.43: A guitar string, in SI28.43phenomenon 28.56: The acoustic Doppler shift is not symmetric28.56phenomenon 28.45: The harmonic series of a stretched string28.45phenomenon 28.50: The speed of sound in air28.50proposition 28.46: Reflection at an end28.46proposition 28.42: The wave equation of a stretched string28.42proposition 28.63: Energy density, flux, and the conservation law28.63proposition 28.44: Superposition28.44experiment : Melde: standing waves on a driven stringexperime…phenomenon 35.3: Half-frequency response to a modulated tension35.3phenomenon 35.2: Standing waves appear only at discrete tensions35.2equation 35.6: eq:expwa-melde-mathieu35.6

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assumes eq:osc-wave-eq declared parts/03-classical-mechanics/18-exp-waves-acoustics.tex:57
cites Réflexions et éclaircissemens sur les nouvelles vibrations des cordes exposées dans les mémoires de l'Académie de 1747 et 1748 derived parts/03-classical-mechanics/18-exp-waves-acoustics.tex:152
cites Discorsi e dimostrazioni matematiche intorno a due nuove scienze derived parts/03-classical-mechanics/18-exp-waves-acoustics.tex:107
cites Discorsi e dimostrazioni matematiche intorno a due nuove scienze derived parts/03-classical-mechanics/18-exp-waves-acoustics.tex:173
cites Harmonie universelle, contenant la théorie et la pratique de la musique derived parts/03-classical-mechanics/18-exp-waves-acoustics.tex:107
cites Harmonie universelle, contenant la théorie et la pratique de la musique derived parts/03-classical-mechanics/18-exp-waves-acoustics.tex:173
cites Recherches sur la courbe que forme une corde tendue mise en vibration derived parts/03-classical-mechanics/18-exp-waves-acoustics.tex:151
tests eq:expwa-string-spectrum declared parts/03-classical-mechanics/18-exp-waves-acoustics.tex:56