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Entropy measurements
You can numerically determine here a discrete integral 
approximation of log(||dT^n||)/n integrated over the torus, where T is the Chirikov Standard map T(x,y) = (2x-y+k sin(x),x).
The sequence f(n) converges in the limit n to infinity to the Kolmogorov-Sinai entropy of the map (Pesin formula).
The conjecture is that (integral is bigger than log(k/2) for all k and all n>0.
(m determines the accuracy of the Riemann sum approximating the integral over the phase space. The program sums over a (m x m)-grid in the phase space.) Every 5 runs, your experiment results are submitted to our database. The computation done on your computer will so help to test the hypothesis. This is also an experiment in distributed computing.
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RUN RESET
Experiments done Lower bound log(k/2)
Last measurement Averaged