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SCRIPTS IN MATHEMATICA

The scripts from my papers about eigenvalues are extremely slow in Mathematica 5.1 and newer (1000x slower than in Mathematica 5.0 !!!). Below are the new, fast scripts that work under Mathematica 5.0 and newer. They run in less than a minute and are around 10x faster than the old ones on Mathematica 5.0.

"Sharp bounds for eigenvalues of triangles": [ eigen.m ]
output: math -run "<<eigen.m" ]
"Isoperimetric inequalities for eigenvalues of triangles": [ iso.m ]
spectral gap: math -run "<<iso.m" ] [ ratio: math -run "bound=2;<<iso.m" ]