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%*3600;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\")hE !R$!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+'z&\\?7!\")" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q8" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "pdsolve(z^2*diff(P(z,t),t)=z*diff(P(z,t),z)+P(z,t),P( z,t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"PG6$%\"zG%\"tG*&-%$_F1G 6#,&F(\"\"\"*&\"\"#!\"\"F'F0F.F.F'F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "P(z,t):=(2*t+z^2)^2/z:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "simplify(z^2*diff(P(z,t),t)-z*diff(P(z,t),z)-P(z,t)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "Q9" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "restart: lambda:=7: mu:=5.6: N:=14: t:=4/60.:" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "p1:=(lambda+mu*exp(-(lambda +mu)*t))/(lambda+mu): p2:=lambda*(1-exp(-(lambda+mu)*t))/(lambda+mu): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "PGF:=(1-p1+p1*z)^12*(1- p2+p2*z)^2: add(coeff(PGF,z,i),i=0..9);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+1Dx/Y!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "with (linalg): \nM:=matrix([[0,0,0,0,0],[61.6,-82.6,21,0,0],[0,67.2,-81.2,1 4,0],\n[0,0,72.8,-79.8,7],[0,0,0,78.4,-78.4]]):" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and trace have been red efined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "exponential(M,4/60.)[3,1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+?( \\fH)!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "Pinf:=((mu+lamb da*z)/(lambda+mu))^14: coeff(Pinf,z,10)*(28+56);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+#=)y)=*!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 " Q10" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "r estart: with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the pro tected names norm and trace have been redefined and unprotected\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 111 "A:=matrix([[0,0,0,0,0,0],[9 ,0,23,18,20,0],[0,11,0,20,17,14],[41,0,27,0,4,28],[21,32,0,9,0,31],\n[ 0,0,0,0,0,0]]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "for i to 6 do A[i,i]:=-add(A[i,j],j=1..6) end do:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 60 "exponential(A*.1,23/60.)[3,1]+exponential(A*.1,23/6 0.)[3,6];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+i(=+N'!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "F:=exponential(A*.1,t)[3,1]+exponen tial(A*.1,t)[3,6]-.326*10^(-9)*t:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "mu:=int(t*diff(F,t),t=0..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#muG$\"+wP9;P!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "sqrt(int((t-mu)^2*diff(F,t),t=0..infinity));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+_/ZOL!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "linsolve(submatrix(A,2..5,2..5),submatrix(-A,2.. 5,[1,6]))[2,2]*1.;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+K4N*3'!#5" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "Q11" }{MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "restart: with(stats): d:=- 2.3/60: c:=12/60.:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "t1:= 23: t2:=161: t:=90: mu:=(3.2*(t2-t)-(t-t1))/(t2-t1): s:=sqrt(c*(t-t1)* (t2-t)/(t2-t1)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "1-state valf[cdf,normald[mu,s]](0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+\"o #*zq'!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "t1:=41: t2:=77: t:=60: mu:=(-1*(t2-t)-0.8*(t-t1))/(t2-t1): s:=sqrt(c*(t-t1)*(t2-t)/(t 2-t1)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "1-statevalf[cdf, normald[mu,s]](0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+i7f@D!#5" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "mu:=-0.8+d*43: s:=sqrt(c*43 ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "1-statevalf[cdf,norma ld[mu,s]](0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,7%*=?!#5" }}}} {MARK "87" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }