Re: [math-fun] about 10000 numbers, a certain document from M.I. Shamos.
8 Sep
2011
8 Sep
'11
10 p.m.
mlb> * And of course the formulas shouldn't be buggy--yet already folks have pointed out errors in this data set. Indeed this book seems to have a distressing density of errors. E.g., in just the equations for 0, the !! sum is wrong, and the following one doesn't even converge. Not wrong, but the 1st and 3rd sums are just special cases of 0=sum(a^k*(k-a)/k!,k>=0). And the sin^3 sum is a special case of the Fourier series for a step function that spends 1/3 of its time at 0. And Neil just noticed the dx is missing from the integral. And that typographical anomaly in the 2nd formula for 1 is not 2k^2-1. Etc. --rwg
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Bill Gosper