From: Jeffrey Epstein <jeevacation@gmail.com>
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
e[e[1], e[x], e[x], e[x], e[x, x], e[x, x, x]] -> 0.04068614541360055
e[e[x], e[x], e[x], e[x], e[1, x], e[x, x, x]] -> 0.03735886505788107
e[e[x], e[x], e[x], e[x], e[x, x], e[1, x, x]] -> 0.03425143453312468
e[e[1], e[x, x], e[x, x], e[x, x], e[x, x]] -> 0.04049636848817573
e[e[x], e[1, x], e[x, x], e[x, x], e[x, x]] -> 0.03838036304039884
e[e[1], e[x], e[x], e[x, x], e[x, x], e[x, x]] -> 0.039585444918585365
e[e[x], e[x], e[x], e[1, x], e[x, x], e[x, x]] -> 0.03793329903369269
e[e[1], e[x], e[x], e[x], e[x], e[x, x], e[x, x]] -> 0.038983460931105954
e[e[x], e[x], e[x], e[x], e[x], e[1, x], e[x, x]] -> 0.03774182104175548
e[e[1], e[x], e[x], e[x], e[x], e[x], e[x], e[x, x]] -> 0.038628706677005825
e[e[x], e[x], e[x], e[x], e[x], e[x], e[x], e[1, x]] -> 0.03774182104175548
e[e[1], e[x], e[x], e[x], e[x], e[x], e[x], e[x], e[x]] -> 0.038628706677005825
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