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Ali lahko slišimo obliko bobna? : magistrsko delo
Mohorčič, Gregor
Pokažemo, da s poznavanjem lastnih vrednosti, ki predstavljajo frekvence nihanja bobna, lahko slišimo ploščino, obseg in število lukenj v bobnu. Pri tem si pomagamo z Dirichletovo vrsto. Rob bobna ...aproksimiramo na tri različne načine in pri tem opazujemo funkcijo difuzije. Na koncu definiramo tudi presaditev in metodo prepogibanja in z njima skonstruiramo dva neskladna izospektralna bobna. Pokažemo, da za nekatere geometrijske oblike bobnov zadostuje poznavanje že nekaj prvih lastnih vrednosti, oziroma frekvenc nihanja, da določimo celoten spekter lastnih vrednosti.
Type of material - master's thesis
; adult, serious
Publication and manufacture - Ljubljana : [G. Mohorčič], 2004
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