{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {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 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 0 }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 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 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "T itle" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 } } {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 60 "Example 4: Minimum-Length Confidence Intervals for Variances" }}{PARA 19 "" 0 "" {TEXT -1 15 "b y Zavan Karian" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 83 "restart: \+ with(plots, display): libname:=\"C:/mylib/statistics\",libname: with( stat):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "n := 7: alpha := \+ 0.05:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "UsualL := S^2*(n-1 )*( 1/ChisquareP(n-1,alpha/2) - 1/ChisquareP(n-1,1-alpha/2) );" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%'UsualLG,$*$)%\"SG\"\"#\"\"\"$\"++B& QV%!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "f:=ChisquarePDF( n-1,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,$*&)%\"xG\"\"#\"\"\" -%$expG6#,$F(#!\"\"F)F*#F*\"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eq1 := int(f, x=a..b)=1-alpha;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G/,.*&)%\"bG\"\"#\"\"\"-%$expG6#,$F)#!\"\"F*F+#F1\"\")*&#F +F*F+*&F)F+F,F+F+F1F,F1*(#F+F3F+)%\"aGF*F+-F-6#,$F:F0F+F+*(#F+F*F+F:F+ F;F+F+F;F+$\"#&*!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "eq2 :=a^2*subs(x=a,f)=b^2*subs(x=b,f);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%$eq2G/,$*&)%\"aG\"\"%\"\"\"-%$expG6#,$F)#!\"\"\"\"#F+#F+\"#;,$*&)%\" bGF*F+-F-6#,$F8F0F+F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "so lution := fsolve(\{eq1,eq2\},\{a,b\},\{a=0..n-1, b=n-1..infinity\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)solutionG<$/%\"bG$\"+jw4uA!\")/% \"aG$\"+-aHB;!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "assign (%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "MinimumL := S^2*(n- 1)*(1/a-1/b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)MinimumLG,$*$)%\"S G\"\"#\"\"\"$\"+=SMKM!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "100*(UsualL-MinimumL)/UsualL;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"+DoxeA!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "n := 7:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "UsualL:=(n-1)*(1/ChisquareP( n-1,alpha/2)-1/ChisquareP(n-1,1-alpha/2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'UsualLG$\"++B&QV%!\"*" }}}{EXCHG {PARA 7 "" 1 "" {TEXT -1 53 "Warning, incomplete string; use \" to end the string\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot(UsualL, 0.01..0.2, 4 .4..4.6);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6%-%' CURVESG6$7S7$$\"3-+++++++5!#>$\"3')*******H_QV%!#<7$$\"3pmm;Hf999F*F+7 $$\"3SL$3x3#\\upF *F+7$$\"3!GLLesH\"[tF*F+7$$\"3FLLL.e'3r(F*F+7$$\"3>+]P%49G8)F*F+7$$\"3 FLLLG)4j])F*F+7$$\"3T+]PWQ4;*)F*F+7$$\"3u+]7L^I1$*F*F+7$$\"3BML3x'\\Mr *F*F+7$$\"3WL3_YNt35!#=F+7$$\"3um;zz@1\\5F]pF+7$$\"3smTg&H_44\"F]pF+7$ $\"3)**\\iXw$HZ7F]pF+7$$\"3)**\\P%3h!eG\"F]pF+7$$\"3A+]7F\"o&G8F]pF+7 $$\"3QLL$Gq\"*pO\"F]pF+7$$\"3O++Drq,39F]pF+7$$\"3mmTg_@>X9F]pF+7$$\"3O ++vNV$e[\"F]pF+7$$\"3LL3xia2C:F]pF+7$$\"3O+v=f%[Sc\"F]pF+7$$\"3YLLep$H Jg\"F]pF+7$$\"3:+v$4YVSk\"F]pF+7$$\"35nmm$f[Mo\"F]pF+7$$\"3\"om\"HLguB F]pF+7$$\"3S+Dc$*pre>F]pF+7$$\"35++ +++++?F]pF+-%'COLOURG6&%$RGBG$\"#5!\"\"$\"\"!FauF`u-%+AXESLABELSG6$Q!6 \"Feu-%%VIEWG6$;$\"\"\"!\"#$\"\"#F_u;$\"#WF_u$\"#YF_u" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "f:=ChisquarePDF(n-1,x):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eq1 := int(f, x=a..b)=1-alpha:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "eq2:=a^2*subs(x=a,f)=b^2*subs(x=b,f ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "MinLenArray := array( 1..39):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "for i from 2 to \+ 40 do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 97 "eqns := subs(alpha=0.005*i , \{eq1, eq2\});\nSol := fsolve(eqns, \{a,b\}, \{a=0..n-1, b=n-1..infi nity\});" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "assign(Sol);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "MinLenArray[i-1] := [0.005*i, (n-1)*(1/a- 1/b)];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a:='a'; b:='b';" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "MinLenList := convert(MinLenArray, list);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%+MinLenListG7I7$$\"#5!\"$$\"+=SMKM!\"*7$$\"#:F),&*&\" \"\"F2%\"aG!\"\"\"\"'*&F5F2%\"bGF4F47$$\"#?F)F07$$\"#DF)F07$$\"#IF)F07 $$\"#NF)F07$$\"#SF)F07$$\"#XF)F07$$\"#]F)F07$$\"#bF)F07$$\"#gF)F07$$\" #lF)F07$$\"#qF)F07$$\"#vF)F07$$\"#!)F)F07$$\"#&)F)F07$$\"#!*F)F07$$\"# &*F)F07$$\"$+\"F)F07$$\"$0\"F)F07$$\"$5\"F)F07$$\"$:\"F)F07$$\"$?\"F)F 07$$\"$D\"F)F07$$\"$I\"F)F07$$\"$N\"F)F07$$\"$S\"F)F07$$\"$X\"F)F07$$ \"$]\"F)F07$$\"$b\"F)F07$$\"$g\"F)F07$$\"$l\"F)F07$$\"$q\"F)F07$$\"$v \"F)F07$$\"$!=F)F07$$\"$&=F)F07$$\"$!>F)F07$$\"$&>F)F07$$\"$+#F)F0" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "A := plot(UsualL, 0.01..0.2 ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "B:=plot(MinLenList, c olor=blue):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "# interface( plotdevice=postscript, plotoutput=Fig4);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "display(\{A,B\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$\"3-+++++++5!#>$\"3')*******H_ QV%!#<7$$\"3pmm;Hf999F*F+7$$\"3SL$3x3#\\upF*F+7$$\"3!GLLesH\"[tF*F+7$$\"3FLLL.e'3r(F*F +7$$\"3>+]P%49G8)F*F+7$$\"3FLLLG)4j])F*F+7$$\"3T+]PWQ4;*)F*F+7$$\"3u+] 7L^I1$*F*F+7$$\"3BML3x'\\Mr*F*F+7$$\"3WL3_YNt35!#=F+7$$\"3um;zz@1\\5F] pF+7$$\"3smTg&H_44\"F]pF+7$$\"3)**\\iXw$HZ7F]pF+7$$\"3)**\\P%3h!eG\"F ]pF+7$$\"3A+]7F\"o&G8F]pF+7$$\"3QLL$Gq\"*pO\"F]pF+7$$\"3O++Drq,39F]pF+ 7$$\"3mmTg_@>X9F]pF+7$$\"3O++vNV$e[\"F]pF+7$$\"3LL3xia2C:F]pF+7$$\"3O+ v=f%[Sc\"F]pF+7$$\"3YLLep$HJg\"F]pF+7$$\"3:+v$4YVSk\"F]pF+7$$\"35nmm$f [Mo\"F]pF+7$$\"3\"om\"HLguBF]pF+7$$ \"3S+Dc$*pre>F]pF+7$$\"35+++++++?F]pF+-%'COLOURG6&%$RGBG$\"#5!\"\"$\" \"!FauF`u-F$6$7$7$$F^u!\"$$\"+=SMKM!\"*7$%%FAILGF\\v-Fjt6&F\\uF`uF`u$ \"*++++\"!\")-%+AXESLABELSG6%Q!6\"Fev%(DEFAULTG-%%VIEWG6$;$\"\"\"!\"#$ \"\"#F_uFgv" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 " Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 101 "Impr ov := [seq([0.005+0.005*i,(value(subs(alpha=0.005+0.005*i,UsualL)-MinL enList[i][2]))], i=1..39)];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%'Impr ovG7I7$$\"#5!\"$$\"+#G3:+\"!\"*7$$\"#:F),($\"++B&QV%F,\"\"\"*&\"\"'F3% \"aG!\"\"F7*&F5F3%\"bGF7F37$$\"#?F)F07$$\"#DF)F07$$\"#IF)F07$$\"#NF)F0 7$$\"#SF)F07$$\"#XF)F07$$\"#]F)F07$$\"#bF)F07$$\"#gF)F07$$\"#lF)F07$$ \"#qF)F07$$\"#vF)F07$$\"#!)F)F07$$\"#&)F)F07$$\"#!*F)F07$$\"#&*F)F07$$ \"$+\"F)F07$$\"$0\"F)F07$$\"$5\"F)F07$$\"$:\"F)F07$$\"$?\"F)F07$$\"$D \"F)F07$$\"$I\"F)F07$$\"$N\"F)F07$$\"$S\"F)F07$$\"$X\"F)F07$$\"$]\"F)F 07$$\"$b\"F)F07$$\"$g\"F)F07$$\"$l\"F)F07$$\"$q\"F)F07$$\"$v\"F)F07$$ \"$!=F)F07$$\"$&=F)F07$$\"$!>F)F07$$\"$&>F)F07$$\"$+#F)F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 150 "PercImprov := [seq([0.005+0.005*i, 100*(value(subs(alpha=0.005+0.005*i,UsualL))-MinLenList[i][2])/value( subs(alpha=0.005+0.005*i,UsualL))], i=1..39)];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%+PercImprovG7I7$$\"#5!\"$$\"+DoxeA!\")7$$\"#:F),($\"+ **********F,\"\"\"*&$\"+]]A`8!\"(F3%\"aG!\"\"F9*&$\"+]]A`8F7F3%\"bGF9F 37$$\"#?F)F07$$\"#DF)F07$$\"#IF)F07$$\"#NF)F07$$\"#SF)F07$$\"#XF)F07$$ \"#]F)F07$$\"#bF)F07$$\"#gF)F07$$\"#lF)F07$$\"#qF)F07$$\"#vF)F07$$\"#! )F)F07$$\"#&)F)F07$$\"#!*F)F07$$\"#&*F)F07$$\"$+\"F)F07$$\"$0\"F)F07$$ \"$5\"F)F07$$\"$:\"F)F07$$\"$?\"F)F07$$\"$D\"F)F07$$\"$I\"F)F07$$\"$N \"F)F07$$\"$S\"F)F07$$\"$X\"F)F07$$\"$]\"F)F07$$\"$b\"F)F07$$\"$g\"F)F 07$$\"$l\"F)F07$$\"$q\"F)F07$$\"$v\"F)F07$$\"$!=F)F07$$\"$&=F)F07$$\"$ !>F)F07$$\"$&>F)F07$$\"$+#F)F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "StandLen := S^2*(n-1)*( 1/ChisquareP(n-1,alpha/2) - 1/Chisquar eP(n-1,1-alpha/2) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)StandLenG,$ *$)%\"SG\"\"#\"\"\"$\"++B&QV%!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "LFact := subs(\{alpha=0.05, S=1\}, StandLen);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&LFactG$\"++B&QV%!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "PlotList1 := [seq( [i, value(subs(n =i,LFact))], i=3..15)];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%*PlotList 1G7/7$\"\"$$\"++B&QV%!\"*7$\"\"%F(7$\"\"&F(7$\"\"'F(7$\"\"(F(7$\"\")F( 7$\"\"*F(7$\"#5F(7$\"#6F(7$\"#7F(7$\"#8F(7$\"#9F(7$\"#:F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "A := plot(PlotList1, color=red): A; " }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6# 7/7$$\"\"$\"\"!$\"3')*******H_QV%!#<7$$\"\"%F*F+7$$\"\"&F*F+7$$\"\"'F* F+7$$\"\"(F*F+7$$\"\")F*F+7$$\"\"*F*F+7$$\"#5F*F+7$$\"#6F*F+7$$\"#7F*F +7$$\"#8F*F+7$$\"#9F*F+7$$\"#:F*F+-%'COLOURG6&%$RGBG$\"*++++\"!\")$F*F *FY-%+AXESLABELSG6$Q!6\"Fgn-%%VIEWG6$%(DEFAULTGF\\o" 1 2 0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "f := ChisquarePDF(n-1, x);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"fG,$*&)%\"xG\"\"#\"\"\"-%$expG6#,$F(#!\"\"F)F*#F* \"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eq1 := int(f, x=a.. b)=1-alpha;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G/,.*&)%\"bG\"\"# \"\"\"-%$expG6#,$F)#!\"\"F*F+#F1\"\")*&#F+F*F+*&F)F+F,F+F+F1F,F1*(#F+F 3F+)%\"aGF*F+-F-6#,$F:F0F+F+*(#F+F*F+F:F+F;F+F+F;F+$\"#&*!\"#" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "eq2 := a^2*subs(x=a,f) = b^2 *subs(x=b,f);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq2G/,$*&)%\"aG\" \"%\"\"\"-%$expG6#,$F)#!\"\"\"\"#F+#F+\"#;,$*&)%\"bGF*F+-F-6#,$F8F0F+F 3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "alpha := 0.05;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&alphaG$\"\"&!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "PlotArray := array(1..13);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%*PlotArrayG-%&arrayG6$;\"\"\"\"#87\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "for i from 3 to 15 do" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "eqns := subs(n=i, \{eq1, eq2\});\nS ol := fsolve(eqns, \{a,b\}, \{a=0..i-1, b=i-1..infinity\});" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "assign(Sol);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "PlotArray[i-2] := [i, (i-1)*(1/a-1/b)];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a:='a'; b:='b';" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "Plot List2 := convert(PlotArray, list);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%*PlotList2G7/7$\"\"$$\"+tY6W6!\"*7$\"\"%$\"+4?<; " 0 "" {MPLTEXT 1 0 31 "B:=plot(PlotList2, color=blue):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "display(\{A,B\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7/7$$\"\"$\"\"!$\"3') *******H_QV%!#<7$$\"\"%F*F+7$$\"\"&F*F+7$$\"\"'F*F+7$$\"\"(F*F+7$$\"\" )F*F+7$$\"\"*F*F+7$$\"#5F*F+7$$\"#6F*F+7$$\"#7F*F+7$$\"#8F*F+7$$\"#9F* F+7$$\"#:F*F+-%'COLOURG6&%$RGBG$\"*++++\"!\")$F*F*FY-F$6$7/7$F($\"3.++ +tY6W6F-7$F/$\"36+++4?<;o' GgGF-7$F8$\"3A+++=SMKMF-7$F;$\"3k*****RN,W+%F-7$F>$\"3%********oekd%F- 7$FA$\"3M+++Fg^[^F-7$FD$\"3u*****HOt0s&F-7$FG$\"3/+++*pIEH'F-7$FJ$\"3W +++O!)okoF-7$FM$\"3&)*****>PXnV(F-7$FP$\"3F*****zq-)3!)F--FS6&FUFYFYFV -%+AXESLABELSG6%Q!6\"Fcq%(DEFAULTG-%%VIEWG6$FeqFeq" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "[seq( [PlotList1[i][1], 100*(PlotLi st1[i][2] - PlotList2[i][2])/PlotList1[i][2]], i=1..13)];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7/7$\"\"$$\"+uAf>u!\")7$\"\"%$\"+7%)QHhF(7$\"\" &$\"+^X=R[F(7$\"\"'$\"+(o!)*[NF(7$\"\"($\"+DoxeAF(7$\"\")$\"+J'Hdo*!\" *7$\"\"*$!+()*3j@$F=7$\"#5$!+jZ$=h\"F(7$\"#6$!+D'Q?!HF(7$\"#7$!+'[UA>% F(7$\"#8$!+]jW#[&F(7$\"#9$!+7-lsnF(7$\"#:$!+uS&G1)F(" }}}}{MARK "40 1 " 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }