From: Jeffrey Epstein <[email protected]> To: "Nowak, Martin" •,==l > Subject: Re: harmonic function, n=9, decimal version Date: Sun, 09 Sep 2012 15:56:21 +0000 what dos this represent On Sun, Sep 9, 2012 at 7:46 AM, Nowak, Martin <=I > wrote: the project with mike is going well!!! Begin forwarded message: From: Michael Hopkins < Date: August 30, 2012 9:46:46 PM EDT To: "Nowak, Martin" <I I= > Subject: harmonic function, n=9, decimal version e[e[1, x, x, x], e[x, x, x, x, x]] -> 0. e[e[x, x, x, x], e[1, x, x, x, x]] -> 1. e[e[1], e[x, x, x, x], e[x, x, x, x]] -> 0.25925925925925924 e[e[x], e[1, x, x, x], e[x, x, x, x]] -> 0. e[e[1, x], e[x, x, x], e[x, x, x, x]] -> 0.07407407407407407 e[e[x, x], e[1, x, x], e[x, x, x, x]] -> 0.037037037037037035 e[e[x, x], e[x, x, x], e[1, x, x, x]] -> 0. e[e[1], e[x], e[x, x, x], e[x, x, x, x]] -> 0.07994261867501304 e[e[1], e[x, x], e[x, x], e[x, x, x, x]] -> 0.06311945748565467 e[e[x], e[x], e[1, x, x], e[x, x, x, x]] -> 0.03312467396974439 e[e[x], e[x], e[x, x, x], e[1, x, x, x]] -> 0. e[e[x], e[1, x], e[x, x], e[x, x, x, x]] -> 0.04903495044340115 e[e[x], e[x, x], e[x, x], e[1, x, x, x]] -> 0. e[e[1, x, x], e[x, x, x], e[x, x, x]] -> 0.03703703703703704 e[e[1], e[x, x], e[x, x, x], e[x, x, x]] -> 0.048751769878530436 e[e[x], e[1, x], e[x, x, x], e[x, x, x]] -> 0.041769878530441916 e[e[x], e[x, x], e[1, x, x], e[x, x, x]] -> 0.03468961919666145 e[e[1, x], e[x, x], e[x, x], e[x, x, x]] -> 0.03939339742156644 e[e[x, x], e[x, x], e[x, x], e[1, x, x]] -> 0.034689619196661456 e[e[1], e[x], e[x], e[x, x, x], e[x, x, x]] -> 0.045247880994745755 e[e[1], e[x], e[x, x], e[x, x], e[x, x, x]] -> 0.0422351092858521 e[e[x], e[x], e[x], e[1, x, x], e[x, x, x]] -> 0.034063641105894625 e[e[x], e[x], e[1, x], e[x, x], e[x, x, x]] -> 0.038169314210988924 e[e[x], e[x], e[x, x], e[x, x], e[1, x, x]] -> 0.034376630151278044 EFTA00942842