Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Hearing_the_shape_of_a_drum> ?p ?o }
- Hearing_the_shape_of_a_drum abstract "To hear the shape of a drum is to infer information about the shape of the drumhead from the sound it makes, i.e., from the list of overtones, via the use of mathematical theory. "Can One Hear the Shape of a Drum?" was the title of an article by Mark Kac in the American Mathematical Monthly in 1966, but the phrasing of the title is due to Lipman Bers. These questions can be traced back all the way to Hermann Weyl.For the 1966 paper that made the question famous, Kac was given the Lester R. Ford Award in 1967 and the Chauvenet Prize in 1968.The frequencies at which a drumhead can vibrate depends on its shape. The Helmholtz equation calculates the frequencies if the shape is known. These frequencies are the eigenvalues of the Laplacian in the space. A central question: can the shape be predicted if the frequencies are known? No other shape than a square vibrates at the same frequencies as a square. Is it possible for two different shapes to yield the same set of frequencies? Kac did not know the answer to that question.".
- Hearing_the_shape_of_a_drum thumbnail Isospectral_drums.svg?width=300.
- Hearing_the_shape_of_a_drum wikiPageExternalLink mathland_4_14.html.
- Hearing_the_shape_of_a_drum wikiPageExternalLink drum.pdf.
- Hearing_the_shape_of_a_drum wikiPageExternalLink drums.html.
- Hearing_the_shape_of_a_drum wikiPageID "1072325".
- Hearing_the_shape_of_a_drum wikiPageLength "12601".
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- Hearing_the_shape_of_a_drum wikiPageRevisionID "676931135".
- Hearing_the_shape_of_a_drum wikiPageWikiLink American_Mathematical_Monthly.
- Hearing_the_shape_of_a_drum wikiPageWikiLink American_Scientist.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Analytic_function.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Carl_Pomerance.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Carolyn_S._Gordon.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Category:Drumming.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Category:Partial_differential_equations.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Category:Spectral_theory.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Cauchy–Riemann_equations.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Chauvenet_Prize.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Chengs_eigenvalue_comparison_theorem.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Convex_polygon.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Convex_set.
- Hearing_the_shape_of_a_drum wikiPageWikiLink David_Webb_(mathematician).
- Hearing_the_shape_of_a_drum wikiPageWikiLink Dirac_operator.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Dirichlet_eigenvalue.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Dirichlet_problem.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Domain_(mathematical_analysis).
- Hearing_the_shape_of_a_drum wikiPageWikiLink Drumhead.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Eigenvalue.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Eigenvalues.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Elliptic_differential_operator.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Elliptic_operator.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Ernst_Witt.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Fourier_series.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Gassmann_triple.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Hausdorff_dimension.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Helmholtz_equation.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Hermann_Weyl.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Institute_of_Combinatorics_and_its_Applications.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Isospectral.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Iterated_function_system.
- Hearing_the_shape_of_a_drum wikiPageWikiLink John_Horton_Conway.
- Hearing_the_shape_of_a_drum wikiPageWikiLink John_Milnor.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Laplace_operator.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Laplacian.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Lester_R._Ford.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Lester_R._Ford_Award.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Lipman_Bers.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Mark_Kac.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Mathematics.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Michael_Berry_(physicist).
- Hearing_the_shape_of_a_drum wikiPageWikiLink Minkowski–Bouligand_dimension.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Neumann_boundary_condition.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Notices_of_the_AMS.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Overtone.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Overtones.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Plane_(geometry).
- Hearing_the_shape_of_a_drum wikiPageWikiLink Plane_(mathematics).
- Hearing_the_shape_of_a_drum wikiPageWikiLink Riemann_hypothesis.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Riemann_zeta-function.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Riemann_zeta_function.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Riemannian_manifold.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Russian_language.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Spectral_geometry.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Steve_Zelditch.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Thas,_Koen.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Toshikazu_Sunada.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Upper_box_dimension.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Vibrations_of_a_circular_drum.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Vibrations_of_a_circular_membrane.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Victor_Ivrii.
- Hearing_the_shape_of_a_drum wikiPageWikiLink Wave_equation.
- Hearing_the_shape_of_a_drum wikiPageWikiLink File:Isospectral_drums.svg.
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "Can one hear the shape of a drum".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "Can one hear the shape of a drum?".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "Hearing the shape of a drum".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "Hearing the shape of a drum#The Weyl–Berry conjecture".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "Hearing the shape of a drum#Weyl's formula".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "article".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "drum sound".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "hear the shape of a drum".
- Hearing_the_shape_of_a_drum wikiPageWikiLinkText "hearing the shape of a drum".
- Hearing_the_shape_of_a_drum first "Rafael D.".
- Hearing_the_shape_of_a_drum hasPhotoCollection Hearing_the_shape_of_a_drum.
- Hearing_the_shape_of_a_drum id "d/d130170".
- Hearing_the_shape_of_a_drum last "Benguria".
- Hearing_the_shape_of_a_drum title "Dirichlet eigenvalue".
- Hearing_the_shape_of_a_drum title "Isospectral Manifolds".
- Hearing_the_shape_of_a_drum urlname "IsospectralManifolds".
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- Hearing_the_shape_of_a_drum wikiPageUsesTemplate Template:Disproved_conjectures.
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- Hearing_the_shape_of_a_drum wikiPageUsesTemplate Template:MathWorld.
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- Hearing_the_shape_of_a_drum subject Category:Drumming.
- Hearing_the_shape_of_a_drum subject Category:Partial_differential_equations.
- Hearing_the_shape_of_a_drum subject Category:Spectral_theory.