{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 "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Error" 7 8 1 {CSTYLE "" -1 -1 "" 0 1 255 0 255 1 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 "" {MPLTEXT 1 0 63 "N:=1000: Digits:=30: A:=[seq(evalf(frac(i^2*sqrt(2))),i=1..N)]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "B:=sort(A):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "C:=[seq([N*(B[i+1]-B[i]),N*(B[i+2]-B[i])],i=1..N-2)]:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "C[15];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"9+?F+j4HM>l67!#C$\"9++1\\F\"R'fX&***>!#B" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 167 "f:=proc(xpos,ypos,steps) j: =0:for i from 1 to N-2 do if (C[i][1]<(xpos+steps) and C[i][2]<(ypos+s teps) and C[i][1]>=xpos and C[i][2]>=ypos) then j:=j+1 fi; od; j; end: " }}{PARA 7 "" 1 "" {TEXT -1 41 "Warning, `j` is implicitly declared l ocal" }}{PARA 7 "" 1 "" {TEXT -1 41 "Warning, `i` is implicitly declar ed local" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "f(1,1,1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%\"fG6%\"\"\"F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 101 "M:=matrix(3,3,[f(0,0,1),f(0,1,1),f(0,2,1),f(1,0,1), \+ f(1,1,1), f(1,2,1), f(2,0,1),f(2,1,1),f(2,2,1)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG-%'matrixG6#7%7%\"$Y#\"$P#\"#*)7%\"\"!\"$2\"\"#&* 7%F.F.\"#M" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "F(x,y):=exp(- x)*y*exp(-y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"FG6$%\"xG%\"yG*( -%$expG6#,$F'!\"\"\"\"\"F(F/-F+6#,$F(F.F/" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 38 "evalf(int(int(F(x,y),x=0..1),y=0..1));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?k%zwU,!>%)*)eHCKq;!#I" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "?int" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "evalf(M[1,1]/N);" }}{PARA 8 "" 1 "" {TEXT -1 37 "Error, (in f) c annot evaluate boolean" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "e valf(int(int(F(x,y),x=0..1),y=0..1000));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?R)HiZ/%ywbG)e07K'!#I" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "evalf((572+413+181+61+23+8)/2000);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?+++++++++++++!H'!#I" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "evalf(int(int(F(x,y),x=0..1000),y=0..1));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?y'fC&*3oN:rl<6Ck#!#I" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 45 "T stands for \"Test function\" in the following" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "T:=proc(x,y) if (abs(x-y)<2) then j:=1 else j:=0 fi; j; end:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}{PARA 7 "" 1 "" {TEXT -1 41 "Warning, `j` is imp licitly declared local" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "t answer:=0: for k from 1 to N-2 do tanswer:=tanswer+sum('T(N*B[k],N*B[l ])','l'=k+1..N-2) od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "ta nswer/(N-2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"%K6\"$*\\" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "2241/998;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6##\"%TA\"$)**" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{MARK "18 0 0" 9 } {VIEWOPTS 1 1 0 1 1 1803 }