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- 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, and 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 depend on its shape. The Helmholtz equation tells us the frequencies if we know the shape. These frequencies are the eigenvalues of the Laplacian in the region. A central question is: can they tell us the shape if we know the frequencies? 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 wikiPageRevisionID "591609069".
- 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".
- 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.
- Hearing_the_shape_of_a_drum type Abstraction100002137.
- Hearing_the_shape_of_a_drum type Communication100033020.
- Hearing_the_shape_of_a_drum type DifferentialEquation106670521.
- Hearing_the_shape_of_a_drum type Equation106669864.
- Hearing_the_shape_of_a_drum type MathematicalStatement106732169.
- Hearing_the_shape_of_a_drum type Message106598915.
- Hearing_the_shape_of_a_drum type PartialDifferentialEquation106670866.
- Hearing_the_shape_of_a_drum type PartialDifferentialEquations.
- Hearing_the_shape_of_a_drum type Statement106722453.
- Hearing_the_shape_of_a_drum comment "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, and 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.".
- Hearing_the_shape_of_a_drum label "Hearing the shape of a drum".
- Hearing_the_shape_of_a_drum sameAs m.043hzx.
- Hearing_the_shape_of_a_drum sameAs Q5691670.
- Hearing_the_shape_of_a_drum sameAs Q5691670.
- Hearing_the_shape_of_a_drum sameAs Hearing_the_shape_of_a_drum.
- Hearing_the_shape_of_a_drum wasDerivedFrom Hearing_the_shape_of_a_drum?oldid=591609069.
- Hearing_the_shape_of_a_drum depiction Isospectral_drums.svg.
- Hearing_the_shape_of_a_drum isPrimaryTopicOf Hearing_the_shape_of_a_drum.