{VERSION 5 0 "IBM INTEL NT" "5.0" } {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 Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Input" 2 19 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times " 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 } {PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 1 1 1 }3 1 0 0 12 12 1 0 1 0 2 2 19 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 8 8 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 7 "L9maple" }}{PARA 19 "" 0 " " {TEXT -1 18 "Luento ti 15.10.02" }}}{EXCHG {PARA 3 "" 0 "" {TEXT -1 58 " Diskreetit dynaamiset systeemit." }}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Alustukset" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "with(linalg):\nwith(LinearAlgebra):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 114 "alias(rref=ReducedRowEchelonForm): alias(ref=Gaus sianElimination): alias(Diag=DiagonalMatrix,Id=IdentityMatrix):\n" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 115 "#plotdots:=data->display([plot(dat a,style=point,symbol=circle,symbolsize=17,symbol=circle),plot(data,col or=blue)]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "plotdots:=da ta->display([plot(data,style=point),plot(data,color=blue)]);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "# Esim:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "#plotdots([[0,0],[1,1],[1,0],[3,2]]);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 136 "traje:=proc(A,x0,n)\nlocal \+ x,k; \n x[0]:=x0:\n for k to n do x[k]:=A.x[k-1]: end do:\nplotdots( map(convert,[seq(x[k],k=0..n)],list));\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 147 "trajedot:=proc(A,x0,n)\nlocal x,k; \n x[0]:=x0 :\n for k to n do x[k]:=A.x[k-1]: end do:\nplot(map(convert,[seq(x[k] ,k=0..n)],list),style=point);\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "#traje(A,<-3,3>,10);\n" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 12 " 1. Yleist\344" }}{PARA 0 "" 0 "" {TEXT -1 7 "Lay 5.6" } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 5 " " } {XPPEDIT 18 0 "x[k+1] = A x[k]" "6#/&%\"xG6#,&%\"kG\"\"\"F)F)*&%\"AGF) &F%6#F(F)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 36 " 2. Ratkais ujen graafinen kuvaaminen" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 28 "Ohje lmankehityst\344 ja Esim. 2" }}{PARA 0 "" 0 "" {TEXT -1 53 "Katsotaan, miten trajektoreita olisi k\344tev\344\344 piirt\344\344." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A:=< <.8,0>|<0,.64>>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "lambda[ 1]:=0.8; lambda[2]:=0.64;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "v[1]:=<1,0>; v[2]:=<0,1>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "x[0]:=c[1]*'v[1]' + c[2]*'v[2]';" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "x[k]:=c[1]*0.8^k*v[1] + c[2]*0.64^k*v[2];" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 18 0 "x[k] " "6#&%\"xG6#%\"kG" }{TEXT -1 15 " -> 0, kun k -> " }{XPPEDIT 18 0 "infinity" "6#%)infinityG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Tapa, jolla nollaa l\344hestyminen tapaht uu, on kiinnostava." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "xnol lat1:=[seq(<-3+j,3>,j=0..6)];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "xnollat2:=seq(<-3+j,-3>,j=0..6);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "x[0]:=xnollat1[1]: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "n:=10: for k to n do x[k]:=A.x[k-1]: end do:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "seq(x[k],k=0..n);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "map(convert,[%],list);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "plotdots(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "jono[1]:=seq([x[k]],k=0..5);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 74 "N\344iden kokeilujen j\344lkeen ol emme valmiit kirjoittamaan pienen proseduurin." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 136 "traje:=proc(A,x0,n)\nlocal x,k; \n x[0]:=x0: \n for k to n do x[k]:=A.x[k-1]: end do:\nplotdots(map(convert,[seq(x [k],k=0..n)],list));\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "traje(A,<-3,3>,10);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "xnollat1;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "yla:=seq(traje(A,xnollat1[k],10),k= 1..nops(xnollat1)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "ala: =seq(traje(A,xnollat2[k],10),k=1..nops(xnollat1)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "display(yla,ala,title=\"Ominaisarvot < 1\") ;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "Origo on " }{TEXT 256 27 "att raktiivinen kiintopiste." }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 35 "Esi m. 2, attraktiivinen kiintopiste" }}{PARA 0 "" 0 "" {TEXT -1 48 "Oteta an sama uudelleen, ilman ohjelmankehityst\344." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "read(\"c:\\\\usr\\\\heikki\\\\v3\\\\v302.mpl\"): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "print(traje);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A:=<<.8,0>|<0,.64>>;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "lambda[1]:=0.8: lambda[2]:=0 .64:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "v[1]:=<1,0>: v[2]:= <0,1>:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "x[0]:=c[1]*'v[1]' + c[2]*'v[2]';" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "x[k]:=c[ 1]*0.8^k*v[1] + c[2]*0.64^k*v[2];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "Pisteet " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "seq(X[k],k=0 ..10),\"o o o\";" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 33 "muodostavat d ynaamisen systeemin " }{TEXT 257 11 "trajektorin" }{TEXT -1 1 "." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "traje(A,<-3,3>,10);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "yla:=display(traje(A,<-3,3>, 10),traje(A,<0,3>,10),traje(A,<1,3>,10),traje(A,<3,3>,10)):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "ala:=display(traje(A,<-3,-3> ,10),traje(A,<0,-3>,10),traje(A,<1,-3>,10),traje(A,<3,-3>,10)):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "display(yla,ala,title=\"Omin aisarvot < 1, attraktori\");" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 107 "display(traje(A,<0,3>,10), traje(A,<0,-3>,10),traje(A,<3,0>,10),traje(A,<-3,0>,10),title=\"Ominai svektorit\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "display(%, view=[-1..1,-1..1]); # N\344in voi zoomata." }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 10 "Siis O on " }{TEXT 259 26 "attraktiivinen kiintopiste" }{TEXT -1 15 ", kun molemmat " }{TEXT 258 33 "ominaisarvot positiivisi a ja < 1." }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 33 "Esim 3, repulsiivi nen kiintopiste" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "read(\"c: \\\\usr\\\\heikki\\\\v3\\\\v302.mpl\"): " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A:=<<1.44,0>|<0,1.2>> ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 136 "display(traje(A,<.1,0 >,10),traje(A,<-.1,0>,10),traje(A,<0,.1>,10),\ntraje(A,<0,-.1>,10),tit le=\"Ominaisvektorit, virtaus poisp\344in O:sta\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 95 "display(%,traje(A,<.1,.1>,10),traje(A,<-. 1,.1>,10),traje(A,<-.1,-.1>,10),traje(A,<.1,-.1>,10));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "#xnollat1:=[seq(.1*<-3+j,3>,j=0..6 )]: #xnollat2:=seq(.1*<-3+j,-3>,j=0..6):xnollat3:=[.1*<-3,0>,.3*<3,0>] :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 109 "#yla:=seq(traje(A,xnollat1[k],10),k=1..nops(x nollat1)):ala:=seq(traje(A,xnollat2[k],10),k=1..nops(xnollat1)):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "#xaks:=seq(traje(A,xnollat3[ k],10),k=1..nops(xnollat3)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "#display(yla,ala,traje(A,<.1,0>,10),traje(A,<-.1,0>,10),title=\" Ominaisarvot > 1\");" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 20 "Esim. 4 , satulapiste" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "read(\"c:\\ \\usr\\\\heikki\\\\v3\\\\v302.mpl\"):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "A:=<<2,0>|<0,0.5>>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 315 "display(traje(A,<0.05,2>,10),traje(A,<-.05,2>,10),tr aje(A,<.1,2>,10),\ntraje(A,<-.1,2>,10),traje(A,<0.05,-2>,10),traje(A,< -.05,-2>,10),traje(A,<.1,-2>,10),\ntraje(A,<-.1,-2>,10),traje(A,<0.05, 0>,10),traje(A,<-.05,0>,10),traje(A,<0,.2>,10),\ntraje(A,<0,-2>,10),vi ew=[-5..5,-2..2],title=\"Ominaisarvot < 1, satulapiste\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 155 "display(trajedot(A,<0.05,0>,10),tr ajedot(A,<-.05,0>,10),trajedot(A,<0,2>,10),\ntrajedot(A,<0,-2>,10),vie w=[-5..5,-2..2],title=\"Ominaisvektorit\",axes=frame);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 142 "x-akselilla l\344hdettiin l\344helt\344 \+ O:a, y-akselilla kaukaa. Edellisell\344 virtaus ulosp\344in, j\344lki mm\344isell\344 sis\344\344np\344in.\nVoisi olla mukava sellainen " } {MPLTEXT 1 0 5 "traje" }{TEXT -1 25 "-versio, jossa k\344ytet\344\344n " }{MPLTEXT 1 0 5 "arrow" }{TEXT -1 26 ":ta. Teep\344 harjoituksissa! " }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 37 "Esim. 6, Kompleksiset omina isvektorit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "A:=<<.8,-.1>|< .5,1>>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "(oa,ov):=Eigenve ctors(A);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "lambda:=oa[1]; w:=ov[1..-1,1];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "u:=map( Re,w);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "v:=map(Im,w);" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "S:=; SI:=S^(-1);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "alpha:=Re(lambda): beta:=Im( lambda):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "R:=<|>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "A=S.R.S I;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "r:=abs(lambda);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "phi:=argument(lambda);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "spiraali:=r*<|>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "traje(spiraali,<0,2.5>,50);# Uudet muuttujat peruskoordinaatistoss a esitettyn\344." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 146 "traje( A,<0,2.5>,50); # Iteroidaan alkuper\344isell\344 matriisilla, kuva saa taisiin \n#edellisest\344 koordinaatistomuunnoksella, jonka v\344litt \344\344 matriisi P." }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 35 "3. T \344pl\344p\366ll\366jen selviytymisongelma" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "with(linalg):\nwith(LinearAlgebra):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "read(\"c:\\\\usr\\\\heikki\\\\v3\\\\v302.mpl\"):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "print(traje);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "A:=<<0,.18,0>|<0,0,.71>|<.33,0,.94>>;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "A,<\"juveniles\",\"subadults \",\"adults\">;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "x[k]=<'j [k]','s[k]','a[k]'>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "(oa ,ov):=Eigenvectors(A);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "l ambda[1]:=oa[1];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "lambda[ 3]:=oa[3];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "Im(%);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "lambda[3]:=Re(lambda[3]);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "abs(lambda[1]);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "Kaikkien ominaisarvojen itseisarvo t < 1, paha merkki!" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x[k]=c [1]*lambda[1]^k*v[1]+c[2]*lambda[2]^k*v[2]+c[3]*lambda[3]^k*v[3];" "6# /&%\"xG6#%\"kG,(*(&%\"cG6#\"\"\"F-)&%'lambdaG6#F-F'F-&%\"vG6#F-F-F-*(& F+6#\"\"#F-)&F06#F8F'F-&F36#F8F-F-*(&F+6#\"\"$F-)&F06#FAF'F-&F36#FAF-F -" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Jos l\344hdet\344\344n reaal isesta vektorista " }{XPPEDIT 18 0 "x[0]" "6#&%\"xG6#\"\"!" }{TEXT -1 8 ", niin " }{XPPEDIT 18 0 "x[1]=A*x[0]" "6#/&%\"xG6#\"\"\"*&%\"AGF'& F%6#\"\"!F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 107 "Jne., siten tulok set ovat reaalisia, vaikka ominaisvektorikaavassa laskenta kulkee komp leksilukujen kautta." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "Koska omi naisarvojen itseisarvot < 1, niin " }{XPPEDIT 18 0 "x[k]" "6#&%\"xG6# %\"kG" }{TEXT -1 17 " -> 0, kun k -> " }{XPPEDIT 18 0 "infinity" "6#% )infinityG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "Malli siis ennustaa t\344pl\344p\366ll\366jen tuhoa." }}{PARA 0 "" 0 "" {TEXT -1 91 "Harj oitusteht\344v\344n\344 (LV6) voidaan katsoa, mink\344laista \"kuolema n spiraalia\" pitkin kuljetaan." }}{PARA 0 "" 0 "" {TEXT -1 134 "Toise na harjoitusteht\344v\344n\344 katsotaan tilannetta, jossa nuorten p \366ll\366jen pes\344aluesiirtym\344vaiheen henkiinj\344\344misprosent ti on 50, jolloin " }}{PARA 0 "" 0 "" {TEXT -1 95 "A[2,1]=0.3 aiemman \+ 0.18:n sijasta.(Nuorison henkiinj\344\344misprosentti oman pes\344n pi iriss\344 oli 60.)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "A:=<< 0,.3,0>|<0,0,.71>|<.33,0,.94>>;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "A,<\"juveniles\",\"subadults\",\"adults\">;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "T \344st\344 voit jatkaa harjoitusteht\344v\344ss\344" }}}}}{MARK "6" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }