Little explorations with HP calculators (no Prime)
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03-27-2017, 07:24 PM
(This post was last modified: 03-27-2017 07:28 PM by Joe Horn.)
Post: #39
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RE: Little explorations with the HP calculators
(03-27-2017 05:29 PM)pier4r Wrote:Quote:Brilliant.org After running 100 million iterations several times in UBASIC, I'm surprised that each run SEEMS to be converging, but each run ends with a quite different result: 10 randomize 20 T=0:C=0 30 repeat 40 T+=sqr((rnd-rnd)^2+(rnd-rnd)^2):C+=1 50 until C=99999994 60 repeat 70 T+=sqr((rnd-rnd)^2+(rnd-rnd)^2):C+=1 80 print C;T/C 90 until C=99999999 run 99999995 0.5214158234249566646569152059 99999996 0.5214158242970253667174680247 99999997 0.5214158240318481570747604814 99999998 0.5214158247892039896051570164 99999999 0.5214158253601312510245695897 OK run 99999995 0.5213642776110289008920452545 99999996 0.5213642752079475043717958065 99999997 0.52136427197858201293861314 99999998 0.5213642744828552963477424429 99999999 0.5213642759132547792130043215 OK run 99999995 0.5213770659191193073147616413 99999996 0.5213770610000764506616015052 99999997 0.5213770617149058467216528505 99999998 0.5213770589414874167694264508 99999999 0.5213770570854305903944611055 OK So it SEEMS to be zeroing on something close to -LOG(LOG(2)), but I give up. <0|ɸ|0> -Joe- |
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