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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 129 "This worksheet is for che
cking whether the nth and n+1th entries are really independently distr
ibuted.  Currently it's very slow." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 84 "N:=5000: Digits:=30: a
lpha:=evalf(sqrt(2)): A:=[seq(evalf(frac(i^2*alpha)),i=1..N)]:" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "B:=sort(A):" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 55 "C:=[seq([N*(B[i+1]-B[i]),N*(B[i+2]-B[i+1])],i=1..N-2)
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1 "" {XPPMATH 20 "6#7$$\"8++8AwV3@*eC))!#B$\"8++;#H%y*y:$\\!eF&" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "CDF:=proc(xpos,ypos) j:=0: \+
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\"C.txt\";" }}{PARA 7 "" 1 "" {TEXT -1 41 "Warning, `j` is implicitly \+
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 171 "disc:=proc() tempvar:=0: for j fro
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 7 "" 1 "" {TEXT -1 32 "War
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