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Ali lahko slišimo obliko bobna? : magistrsko deloMohorčič, GregorPokažemo, 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, seriousPublication and manufacture - Ljubljana : [G. Mohorčič], 2004Language - slovenianCOBISS.SI-ID - 13099865
Author
Mohorčič, Gregor
Other authors
Plestenjak, Bor |
Košir, Tomaž, 1962-
Topics
asimptotične funkcije |
boben |
boben z luknjami |
Brownovo gibanje |
Carlemanov izrek |
difuzija |
Dirichletova vrsta |
izospektralnost |
konveksni bobni |
Laplaceov operator |
lastne funkcije |
lastne vrednosti |
permutacijska matrika |
poligonski boben |
prepogibanje |
presaditev |
skladnost |
spekter lastnih vrednosti |
triangulacija |
Weylov izrek |
asimptotic functions |
Brownian motion |
Carleman's theorem |
congruent |
convex drums |
diffusion |
Dirichlet series |
drum |
drum with holes |
eigenfunctions |
eigenvalues |
isospectrality |
Laplace operator |
paper folding |
permutation matrix |
polygonal drum |
spectrum of eigenvalues |
transplatation |
triangulation |
Weyl's theorem
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Mohorčič, Gregor | 30517 |
Plestenjak, Bor | 15136 |
Košir, Tomaž, 1962- | 08398 |
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