{VERSION 3 0 "IBM INTEL LINUX" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 243 "This worksheet computes a \"bad\" number, i.e. one where the M-level correlations are not all w hat they should be, as constructed in Sarnak's paper. The purpose of \+ this particular worksheet is only to spit out data to be analyzed with \"cdf5.c\"." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "Digits:=30: v[-1]:=0: r[-1]:=0: r[0]:=1: v[0]:=1: r[1]:=1: v[1]:=1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "for i from 2 to 16 do v[i]:=r[i-1]* v[i-1]^2+v[i-2]: r[i]:=floor(log[2](v[i])) od:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "v[3];" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "a[0]:=1: for i from 1 to 14 do a[i]:=r[i-1]^2*v[i-1]^ 2+2*r[i-1]*v[i-2] od:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "a[0]+1/(a[1]+1/(a[2]+1/a[3]) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"#W\"#D" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 37 "p[-1]:=0: p[0]:=1: q[-1]:=1: q[0]:=0:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "for i from 1 to 14 do p[i]:= a[i-1]*p[i-1]+p[i-2]: q[i]:=a[i-1]*q[i-1]+q[i-2]: od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 112 "N:=45000: Digits:=30: alpha:=evalf(p[14]/q[14]); alp ha:=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 0 115 "C:=[seq([N*(B[i+1]-B[i]),N*(B[i+2]-B[i+1]),N*(B[i+3] -B[i+2]),N*(B[i+4]-B[i+3]),N*(B[i+5]-B[i+4])],i=1..N-5)]: DONE;" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "save C, \"C5.txt\";" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&alphaG$\"?S$z%QQbU8E52_)*f%&alphaG$\"?@C()o,)[]4tBc8UT\"!#H" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%%DONEG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "10 0 0" 0 } {VIEWOPTS 1 0 0 1 1 1803 }