BMAD Posted November 30, 2015 Report Share Posted November 30, 2015 (edited) Are the digits that represent pi (e.g. 3.1415926....) a uniform distribution?What if we examine pi in base 2, is it a uniform distribution? Edited November 30, 2015 by BMAD Quote Link to comment Share on other sites More sharing options...
0 jasen Posted December 1, 2015 Report Share Posted December 1, 2015 (edited) statistically it is uniform. 1000 places of Pi3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019891=116, 2=103, 3=103, 4=93, 5=97, 6=94,7=95, 8=101, 9=106, 0=93 total digits 1001Also for base2, 100008 first digits, have 50052 1 Edited December 1, 2015 by jasen Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted December 1, 2015 Report Share Posted December 1, 2015 It's an open question among mathematicians.Such numbers are called regular numbers.There is no easy way to prove or disprove. Quote Link to comment Share on other sites More sharing options...
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BMAD
Are the digits that represent pi (e.g. 3.1415926....) a uniform distribution?
What if we examine pi in base 2, is it a uniform distribution?
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