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Polyas Conjecture

All articles tagged with #polyas conjecture

"Mathematicians Solve 70-Year-Old Music Geometry Puzzle"

Originally Published 1 year ago — by SciTechDaily

Researchers have made a breakthrough in spectral geometry by proving a special case of Pólya’s conjecture related to the eigenvalues of a disk, a problem in mathematics first formulated in 1954. This work not only highlights the universal value and artistic beauty of mathematical research but also has potential practical applications in computational mathematics and numerical computation. The researchers' achievement, published in the mathematical journal Inventiones Mathematicae, represents a significant advance in understanding the geometry of music and wave propagation.

science mathematics computational-mathematics eigenvalues mathematical-research mathematics polyas-conjecture spectral-geometry

"Mathematicians Solve 70-Year-Old Disk Eigenvalues Conjecture"

Originally Published 1 year ago — by Phys.org

Mathematicians, including Iosif Polterovich and his collaborators, have proven a special case of George Pólya's 70-year-old conjecture in spectral geometry, concerning the estimation of the frequencies of a round drum or the eigenvalues of a disk. This achievement, published in Inventiones Mathematicae, has theoretical value and potential applications in computational mathematics and numerical computation. The researchers' success highlights the universality of mathematics and the pursuit of elegant solutions with practical implications.

science mathematics disk eigenvalues mathematics polyas-conjecture spectral-geometry