On hearing the shape of a triangle
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- by Pei-Kun Chang and Dennis DeTurck PDF
- Proc. Amer. Math. Soc. 105 (1989), 1033-1038 Request permission
Abstract:
To determine whether two triangles in the Euclidean plane are congruent, it suffices to know that they have their first $N$ eigenvalues in common, where $N$ depends on the first two eigenvalues of the triangles. Similar results for other figures are given.References
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P. Chang, Ph.D. Thesis, University of Pennsylvania, 1988.
C. Durso, Ph.D. Thesis, MIT, 1988.
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 1033-1038
- MSC: Primary 58G25; Secondary 35P99, 35R30
- DOI: https://doi.org/10.1090/S0002-9939-1989-0953738-7
- MathSciNet review: 953738