_spectra-of-almost-periodic-matrices.jpg "Spectra of almost periodic matrices from what is algebra Video Screenshot Preview")
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⏲ Duration: 63 sec
✓ Published: 02-Jun-2016
✓ Published: 02-Jun-2016
Description:
Spectra of almost periodic matrices in 4K resolution. The matrices (found in 2008 for a talk at Dunster house and used in 2010 for a Mathematica project for a Math 21b course) have the entries A(n,m) = cos(n m a + n b), where a,b aresome fixed real parameters. The movie shows what happens, when the parameters a,bare slowly changed. The matrices are 2160 x 2160 matrices. The pictures show thespectra (the eigenvalues of the matrix in the complex plane). They were exported to 3840x2160 pixel
Spectra of almost periodic matrices in 4K resolution. The matrices (found in 2008 for a talk at Dunster house and used in 2010 for a Mathematica project for a Math 21b course) have the entries A(n,m) = cos(n m a + n b), where a,b aresome fixed real parameters. The movie shows what happens, when the parameters a,bare slowly changed. The matrices are 2160 x 2160 matrices. The pictures show thespectra (the eigenvalues of the matrix in the complex plane). They were exported to 3840x2160 pixel
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