{VERSION 3 0 "IBM INTEL NT" "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 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 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 }3 0 0 -1 -1 
-1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "# Maple worksheet to
 demonstrate use of Ph(t)/Ph(t)/Infinity procedures" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 54 "# from Nelson and Taaffe (1999).  Last up
date 6/30/99." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linal
g):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "A := matrix(3,3,[.2,
.1,.7, .4,.2,.4, .8,.2,0.]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG
-%'matrixG6#7%7%$\"\"#!\"\"$\"\"\"F,$\"\"(F,7%$\"\"%F,F*F27%$\"\")F,F*
\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "lambda := vector(2
,[7.,9.]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'lambdaG-%'vectorG6#7$
$\"\"(\"\"!$\"\"*F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "B :=
 matrix(3,3,[0,1,0, 0,0,1, 0.3, 0.7, 0]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"BG-%'matrixG6#7%7%\"\"!\"\"\"F*7%F*F*F+7%$\"\"$!\"
\"$\"\"(F0F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "mu := vecto
r(2, [2+sin(t), 2+sin(t/2)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#mu
G-%'vectorG6#7$,&\"\"#\"\"\"-%$sinG6#%\"tGF+,&F*F+-F-6#,$F/#F+F*F+" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 58 "# Evaluate the moment differential equations at tim
e t = 5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "read(`PhPhInfNum
ericEmpty`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "mdeq := PhP
hInfNumericEmpty(A, lambda, B, mu);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6
#>%%mdeqG73/%\"tGR6#F'6\"6#%aoCopyright~(c)~1993~by~the~University~of~
Waterloo.~All~rights~reserved.GF*9$F*F*F*/-%'N2N2A1GF)RF)6&%(rkf45_sG%
)outpointG%#r1G%#r2GF+F*C&>8%-%&evalfG6#F-@$52-%$absG6#,$F9!\"\"-FA6#,
&&%,loc_controlG6#\"\"#\"\"\"F9FD4-%'memberG6$&FI6#\"\"'<*FDFL!\"#FK$F
K\"\"!$FDFW$FLFW$FUFWC%>FI-%%copyG6#=F*6#;FL\"$J\"E\\[l^s\"$+\"FW\"#&)
FW\"#qFW\"#dFW\"#UFW\"#FFW\"#7FW\"$;\"FW\"$,\"FW\"#')FW\"#rFW\"$I\"FW
\"#eFW\"#VFW\"#GFW\"#8FW\"$<\"FW\"$-\"FW\"#()FW\"#sFWF]oFW\"#fFW\"#WFW
\"#HFW\"#9FW\"$=\"FW\"$.\"FW\"#))FW\"#tFW\"#gFW\"#XFW\"#IFW\"#:FW\"$>
\"FW\"$/\"FW\"#*)FW\"#uFW\"#hFW\"#YFW\"#JFW\"#;FWFLFfq\"$?\"FW\"$0\"FW
\"#!*FW\"#vFW\"#iFW\"#ZFW\"#KFY\"#<FWFKFW\"$@\"FW\"$1\"FW\"#\"*FW\"#wF
W\"#jFW\"#[FW\"#LFW\"#=FW\"\"$FW\"$A\"FW\"$2\"FW\"##*FW\"#xFW\"#kFW\"#
\\FW\"#MFW\"#>FW\"\"%$FL!\"%\"$B\"FW\"$3\"FW\"#$*FW\"#yFW\"#]FW\"#NFW
\"#?FW\"\"&Fas\"$C\"FW\"$4\"FW\"#%*FW\"#zFW\"#^FW\"#OFW\"#@FWFSFL\"$D
\"FW\"$5\"FW\"#&*FW\"#!)FW\"#lFW\"#_FW\"#PFW\"#AFW\"\"($FL!\"&\"$E\"FW
\"$6\"FW\"#'*FW\"#\")FW\"#mFW\"#`FW\"#QFW\"#BFW\"\")FD\"$F\"FW\"$7\"FW
\"#(*FW\"##)FW\"#nFW\"#aFW\"#RFW\"#CFW\"\"*FD\"$G\"FW\"$8\"FW\"#)*FW\"
#$)FW\"#oFW\"#bFW\"#SFW\"#DFW\"#5FW\"$H\"FW\"$9\"FW\"#**FW\"#%)FW\"#pF
W\"#cFW\"#TFW\"#EFW\"#6FW\"$:\"FW>%'loc_y0G-Fhn6#=F*6#;FLFfqE\\[l1FeoF
WF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`
wFW>%'loc_y1G-Fhn6#=F*FgwE\\[l!@$0F@FWC$>&FI6#FgrF9@%1%'DigitsG-%'eval
hfG6#FhxC$>8$-%*traperrorG6#-Fjx6#-%=dsolve/numeric_solnall_rkf45G6,%&
loc_FG-%$varG6#FI-Fiy6#Fcw-Fiy6#F[x-Fiy6#%'loc_F1G-Fiy6#%'loc_F2G-Fiy6
#%'loc_F3G-Fiy6#%'loc_F4G-Fiy6#%'loc_F5G-Fiy6#%)loc_workG@$/F^y%*laste
rrorGC%>8&-%+searchtextG6$.Fjx-%(convertG6$-%#opG6$FL7#F^y%%nameG>8'-F
h[l6$.%)hardwareGF[\\l@%50Ff[lFW0Fd\\lFW-Fey6,FgyFIFcwF[xFazFdzFgzFjzF
][lF`[l-%&ERRORG6#F^yF]]l&Fcw6#FLF*6%FIFcwF[xF*/-%'N1N1A1GF)RF)F2F+F*C
&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWF
foFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFW
FcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qF
WFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]r
FYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrF
WF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFj
sFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWF
gtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFW
FguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvF
WFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fc
w-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSF
WFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F
^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&FcwFJF*Fd]lF*/-%'
N1N2A1GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFb
oFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF
`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFW
F]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFW
FjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFW
FgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfs
FWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFc
tFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWF
cuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFW
FavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wF
WF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKF
WFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$F
axC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]
l&FcwFexF*Fd]lF*/-%'N2N1A1GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[
l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF
\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFW
FipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqF
WFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrF
WFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`s
FasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFW
F`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFW
F_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vF
WF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvF
WF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYF
fpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x
-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe
\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#F`sF*Fd]lF*/-%'N2N2A2GF)RF)F2F+F*C&>F9F:@$
F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoF
WFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdp
FWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFb
qFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWF
KFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF
\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[t
FWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFht
FWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFh
uFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWF
fvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#
=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWF
euFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$
Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#FjsF*Fd]lF*/-%'N1N1
A2GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWF
coFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFW
FapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qF
WF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqF
WF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrF
WFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFg
sFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWF
dtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFW
FduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavF
WFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_w
FWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgr
FWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$
>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fc
wFRF*Fd]lF*/-%'N1N2A2GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_
oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF
]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWF
jpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfq
FgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFW
FdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcs
FWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWF
atFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF
`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFW
F^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFW
F\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^
qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#
=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%F
j\\lF]]lF_]lF]]l&Fcw6#FjtF*Fd]lF*/-%'N2N1A2GF)RF)F2F+F*C&>F9F:@$F>C%>F
I-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFW
FioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepF
WFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcq
FWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_r
FWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]
sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tF
WF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFW
FjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuF
WFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgv
FWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE
\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^v
FWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>
Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#FeuF*Fd]lF*/-%%N1A1GF)RF)F
2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFW
FeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpF
WF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_q
FWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\
rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFir
FWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWF
isFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFW
FftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuF
DFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcv
FWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFa
wFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFj
sFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%F
gxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#F^vF*F
d]lF*/-%%N2A1GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFW
FaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pF
WF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qF
WF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhq
FWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFer
FWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWF
esFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFL
FbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauF
WFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_v
FWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]
wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFW
FLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE
\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]
lF_]lF]]l&Fcw6#FgvF*Fd]lF*/-%%N1A2GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F
*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoF
WF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgp
FWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFe
qFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFa
rFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF
_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^t
FWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]u
FWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[v
FWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFi
vFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoF
WF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`
wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>
Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#F`wF*Fd]lF*/-%%N2A2GF)RF)F2F+F*C&>F
9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoF
WFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcp
FWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFa
qFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF
^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[
sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFa
sF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtF
WFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFgu
FWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFe
vFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-F
hn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFj
tFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF
_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#FeoF*Fd]lF*/-%#
P1GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWF
coFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFW
FapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qF
WF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqF
WF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrF
WFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFg
sFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWF
dtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFW
FduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavF
WFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_w
FWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgr
FWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$
>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fc
w6#F^pF*Fd]lF*/-%#P2GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_o
FWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]
pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFj
pFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqF
gqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWF
drFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsF
WFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFa
tFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`
uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF
^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF
\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^q
FWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=
F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj
\\lF]]lF_]lF]]l&Fcw6#FfpF*Fd]lF*/-%#N2GF)RF)F2F+F*C&>F9F:@$F>C%>FI-Fhn
6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFfoFWFgoFWFhoFWFioFW
FjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWFcpFWFdpFWFepFWFfpF
WFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFWFaqFWFbqFWFcqFWFdq
FWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rFYF^rFWFKFWF_rFWF`r
FWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFWF[sFWF\\sFWF]sFWF^
sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjsFasF[tFWF\\tFWF]tF
WF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFgtFWFhtFWFitFWFjtF[
uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWFguFWFhuFWFiuFWFjuF
WF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFWFevFWFfvFWFgvFWFhv
FWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw-Fhn6#=F*FgwE\\[l1
FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFWFjtFWFeuFWF^vFWFgv
FWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^yF_y@$Fb[lC%>Ff[lF
g[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#F^qF*Fd]lF*/-%#N1GF)RF)F2F+F*C&
>F9F:@$F>C%>FI-Fhn6#=F*F[oE\\[l^sF_oFWF`oFWFaoFWFboFWFcoFWFdoFWFeoFWFf
oFWFgoFWFhoFWFioFWFjoFWF[pFWF\\pFWF]pFWF^pFWF_pFWF`pFWFapFWFbpFWF]oFWF
cpFWFdpFWFepFWFfpFWFgpFWFhpFWFipFWFjpFWF[qFWF\\qFWF]qFWF^qFWF_qFWF`qFW
FaqFWFbqFWFcqFWFdqFWFeqFWFfqFWFLFfqFgqFWFhqFWFiqFWFjqFWF[rFWF\\rFWF]rF
YF^rFWFKFWF_rFWF`rFWFarFWFbrFWFcrFWFdrFWFerFWFfrFWFgrFWFhrFWFirFWFjrFW
F[sFWF\\sFWF]sFWF^sFWF_sFWF`sFasFcsFWFdsFWFesFWFfsFWFgsFWFhsFWFisFWFjs
FasF[tFWF\\tFWF]tFWF^tFWF_tFWF`tFWFatFWFSFLFbtFWFctFWFdtFWFetFWFftFWFg
tFWFhtFWFitFWFjtF[uF]uFWF^uFWF_uFWF`uFWFauFWFbuFWFcuFWFduFWFeuFDFfuFWF
guFWFhuFWFiuFWFjuFWF[vFWF\\vFWF]vFWF^vFDF_vFWF`vFWFavFWFbvFWFcvFWFdvFW
FevFWFfvFWFgvFWFhvFWFivFWFjvFWF[wFWF\\wFWF]wFWF^wFWF_wFWF`wFWFawFW>Fcw
-Fhn6#=F*FgwE\\[l1FeoFWF^pFYFfpFWF^qFWFfqFWFLFWFKFWFgrFWF`sFWFjsFWFSFW
FjtFWFeuFWF^vFWFgvFWF`wFW>F[x-Fhn6#=F*FgwE\\[l!@$FaxC$>FdxF9@%FgxC$>F^
yF_y@$Fb[lC%>Ff[lFg[l>Fd\\lFe\\l@%Fj\\lF]]lF_]lF]]l&Fcw6#FfqF*Fd]lF*" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "mdeq(5);" }}{PARA 12 "" 1 
"" {XPPMATH 20 "6#73/-%\"tG6#\"\"&F(/--%'N2N2A1G6#F&F'$\"1c65#4$G2L!#:
/--%'N1N1A1GF-F'$\"1]@o%ekq)>F0/--%'N1N2A1GF-F'$\"1hT/^Cit9F0/--%'N2N1
A1GF-F'F;/--%'N2N2A2GF-F'$\"1![]O)Rr)[)!#;/--%'N1N1A2GF-F'$\"1`THNa_<^
FG/--%'N1N2A2GF-F'$\"16()\\w'[;y$FG/--%'N2N1A2GF-F'FR/--%%N1A1GF-F'$\"
1u2E0rm.#*FG/--%%N2A1GF-F'$\"1R_U:&e:F\"F0/--%%N1A2GF-F'$\"1SWueU#\\P#
FG/--%%N2A2GF-F'$\"1#p\\.J<LF$FG/--%#P1GF-F'$\"1M#)eqk<TzFG/--%#P2GF-F
'$\"1k<THN#)e?FG/--%#N2GF-F'$\"13-YY-*))f\"F0/--%#N1GF-F'$\"1A0SO\"fy:
\"F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 79 "# show the moment differential equations fo
r this queue starting empty and idle" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 24 "read(`PhPhInfSymbolic`):" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 34 "PhPhInfSymbolic(A, lambda, B, mu);" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6B/-%%diffG6$-%#P1G6#%\"tGF*,&F'$!$o\"!\"#-%#P2GF)$
\"$['F./-F%6$F/F*,&F'$\"$o\"F.F/$!$['F./-F%6$-%#N1GF)F*,(F'$\"$Z\"F.F/
$\"$3\"F.*&,&\"\"#\"\"\"-%$sinGF)FHFHF>FH!\"\"/-F%6$-%#N2GF)F*,*F'$\"$
V$F.F/$\"$_#F.FEFH*&,&FGFH-FJ6#,$F*#FHFGFHFHFOFHFK/-F%6$-%'N1N1A1GF)F*
,2*&FF\"\"\"FinFHF.Fin$!++++!o\"!\"*-%%N1A1GF)$\"%_B!\"$-%%N1A2GF)$\"%
G<Feo-%'N1N1A2GF)$\"++++!['F`oF'$\"%w6FeoF/$\"$k)Feo*&FFF]oFaoFHFH/-F%
6$-%'N1N2A1GF)F*,6F\\oFHFbpFK*&FFF]oFfpFHFK*&FfpF]oFWF]oFKFfpF^o-%%N2A
1GF)F^p-%%N2A2GF)F`pFao$\"%WFFeoFfo$\"%;?Feo-%'N1N2A2GF)F\\p/-F%6$-%'N
2N1A1GF)F*,6F\\oFHFbpFK*&FWF]oFhqFHFK*&FhqF]oFFF]oFKFhqF^oFaoF_qFfoFaq
F[qF^pF]qF`p-%'N2N1A2GF)F\\p/-F%6$-%'N2N2A1GF)F*,8FipFHF\\rFH*&FbrFHFW
F]oF.FbrF^oF[q$\"%)[&FeoF]q$\"%KSFeo-%'N2N2A2GF)F\\pF'F_qF/Faq*&FWF]oF
[qFHFHFbpFH/-F%6$FjoF*,2*&FFF]oFjoFHF.Fjo$!++++!['F`oFao$\"$)eFeoFfo$
\"$K%FeoFin$\"++++!o\"F`oF'$\"$%HFeoF/$\"$;#Feo*&FFF]oFfoFHFH/-F%6$Fcq
F*,6FasFHF^tFK*&FFF]oFcqFHFK*&FcqF]oFWF]oFKFcqFbsF[qFjsF]qF\\tFao$\"$'
oFeoFfo$\"$/&FeoFfpFhs/-F%6$F]rF*,6FasFHF^tFK*&FWF]oF]rFHFK*&F]rF]oFFF
]oFKF]rFbsFaoFetFfoFgtF[qFjsF]qF\\tFhqFhs/-F%6$FjrF*,8FctFHF^uFH*&FjrF
HFWF]oF.FjrFbsF[q$\"%s8FeoF]q$\"%35FeoFbrFhsF'FetF/Fgt*&FWF]oF]qFHFHF^
tFH/-F%6$FaoF*,,FaoF,FfoF1F'F^pF/F`pFbpFK/-F%6$F[qF*,.F[qF,F]qF1F'F_qF
/FaqFbpFHF\\sFK/-F%6$FfoF*,,FfoF9FaoF7F'FjsF/F\\tF^tFK/-F%6$F]qF*,.F]q
F9F[qF7F'FetF/FgtF^tFHFhuFK/-F(6#\"\"!FH/-F0F[wF\\w/-F?F[wF\\w/-FPF[wF
\\w/-FjnF[wF\\w/-FgpF[wF\\w/-FiqF[wF\\w/-FcrF[wF\\w/-F[pF[wF\\w/-FdqF[
wF\\w/-F^rF[wF\\w/-F[sF[wF\\w/-FboF[wF\\w/-F\\qF[wF\\w/-FgoF[wF\\w/-F^
qF[wF\\w" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "# compute the mean and variance of \+
number in the queue for 0 < t < 50" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 64 "# (the mean and variance appear to be the same for th
is example)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "read(`PhPhIn
fMoments`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "PhPhInfMomen
ts(A, lambda, B, mu, 0, 50);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 
300 {PLOTDATA 2 "6$-%'CURVESG6$7T7$\"\"!F(7$$\"+j\"3/-\"!\"*$\"+!4oq<#
F,7$$\"+Ej\"3/#F,$\"+K)H?:#F,7$$\"+*[C71$F,$\"+)eY^4#F,7$$\"+_Ej\"3%F,
$\"+\\2zLBF,7$$\"+:3/-^F,$\"+Lqv/GF,7$$\"+y*[C7'F,$\"+fMWHJF,7$$\"+Tr&
G9(F,$\"+Q88FLF,7$$\"+/`Ej\")F,$\"+>G=BQF,7$$\"+nMn$=*F,$\"+\"[r\\^%F,
7$$F+!\")$\"+'=z$f\\F,7$$\"+z*[C7\"FY$\"+)=E)>[F,7$$\"+&z*[C7FY$\"+)RU
i4%F,7$$\"+61`E8FY$\"+04jIIF,7$$\"+F9dG9FY$\"+o)4ZJ#F,7$$\"+VAhI:FY$\"
+5)R:4#F,7$$\"+fIlK;FY$\"+V4RDAF,7$$\"+vQpM<FY$\"+Tv/]EF,7$$\"+\"pMn$=
FY$\"+`BxhIF,7$$\"+2bxQ>FY$\"+:9)[C$F,7$$\"+Bj\"3/#FY$\"+<SdIOF,7$$\"+
Rr&G9#FY$\"+\\Z(**H%F,7$$\"+bz*[C#FY$\"+H.Uu[F,7$$\"+r(QpM#FY$\"+eOjH
\\F,7$$\"+(ez*[CFY$\"+n_F%Q%F,7$$\"+./-^DFY$\"+G!=#fLF,7$$\"+>71`EFY$
\"+T)=)zCF,7$$\"+N?5bFFY$\"+cTB>@F,7$$\"+^G9dGFY$\"+Ud!y9#F,7$$\"+nO=f
HFY$\"+>y>&\\#F,7$$\"+$[C71$FY$\"+6kPiHF,7$$\"+*HlK;$FY$\"+^[=)=$F,7$$
\"+:hIlKFY$\"+-2MpMF,7$$\"+JpMnLFY$\"+O5GwSF,7$$\"+ZxQpMFY$\"+=()3MZF,
7$$\"+j&G9d$FY$\"+$R%)*z\\F,7$$\"+z$pMn$FY$\"+U#R!=YF,7$$\"+&>5bx$FY$
\"+vqF1PF,7$$\"+65bxQFY$\"+-<d+FF,7$$\"+F=fzRFY$\"+'HMT=#F,7$$\"+VEj\"
3%FY$\"+\\,h-@F,7$$\"+fMn$=%FY$\"+Q/'eN#F,7$$\"+vUr&G%FY$\"+M[OIGF,7$$
\"+\"4bxQ%FY$\"+*o,*QJF,7$$\"+2fz*[%FY$\"+86&\\M$F,7$$\"+Bn$=f%FY$\"+o
/GfQF,7$$\"+Rv(Qp%FY$\"+P%4.b%F,7$$\"+b$=fz%FY$\"+.v$z'\\F,7$$\"+r\"fz
*[FY$\"+LB%[z%F,7$$\"+()******\\FY$\"+>#\\7/%F,-%'COLOURG6&%$RGBG$\"#5
!\"\"F(F(-F$6$7TF'7$F*$\"+%>Nn<#F,7$F0$\"+-ul`@F,7$F5$\"+jrg'4#F,7$F:$
\"+fCfNBF,7$F?$\"+3m#p!GF,7$FD$\"+#=J=8$F,7$FI$\"+@Q()HLF,7$FN$\"*dJm#
QFY7$FS$\"*Y:#>XFY7$FX$\"*v+S'\\FY7$Fgn$\"*wiS#[FY7$F\\o$\"+E)p#*4%F,7
$Fao$\"+x<&G.$F,7$Ffo$\"+%3UjJ#F,7$F[p$\"+M33$4#F,7$F`p$\"+3G2FAF,7$Fe
p$\"+d'>@l#F,7$Fjp$\"+[o6kIF,7$F_q$\"+2\"zuC$F,7$Fdq$\"+tSwLOF,7$Fiq$
\"*ycRI%FY7$F^r$\"*-1!z[FY7$Fcr$\"*?\\T$\\FY7$Fhr$\"*,(o(Q%FY7$F]s$\"+
$Rv;O$F,7$Fbs$\"+OMe\"[#F,7$Fgs$\"+.'y27#F,7$F\\t$\"++^W\\@F,7$Fat$\"+
PV;(\\#F,7$Fft$\"+UzlkHF,7$F[u$\"+5&p1>$F,7$F`u$\"+a5IsMF,7$Feu$\"*XW+
3%FY7$Fju$\"*W_&QZFY7$F_v$\"*7dX)\\FY7$Fdv$\"*il>i%FY7$Fiv$\"+nS+4PF,7
$F^w$\"+:t_-FF,7$Fcw$\"+4qp&=#F,7$Fhw$\"+lo>/@F,7$F]x$\"+!4$odBF,7$Fbx
$\"+s!RE$GF,7$Fgx$\"+?AFTJF,7$F\\y$\"+BMsZLF,7$Fay$\"*yvF'QFY7$Ffy$\"*
'>faXFY7$F[z$\"*FeD(\\FY7$F`z$\"*Lh!*z%FY7$Fez$\"+![@U/%F,-Fjz6&F\\[lF
(F][lF(" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 70 "# compute the mean, variance and cdf of the sojourn
 time of a customer" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "# ar
riving at time 5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "read(`P
hPhInfSojourn`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "sojourn
 := PhPhInfSojourn(A, lambda, B, mu, 5):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "sojourn[1]; # mean" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#$\"13!zAWFKf'!#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "sojour
n[2]; # variance" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+u/$*H_!#5" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "sojourn[3]; #cdf" }}{PARA 
13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6#-%'CURVESG6$7T7$$\"\"&
\"\"!F*7$$\"+r&G9F&!\"*$\"+jzW2P!#57$$\"+Ur&Ga&F.$\"+kG$)QeF17$$\"+8dG
9eF.$\"+wpCkrF17$$\"+%G9d3'F.$\"+K\"4P/)F17$$\"+bG9djF.$\"+SR#)\\')F17
$$\"+E9dGmF.$\"+#*G/s!*F17$$\"+(*******oF.$\"++%GSO*F17$$\"+o&G9<(F.$
\"+0e;j&*F17$$\"+Rr&GW(F.$\"+<FS(p*F17$$\"+5dG9xF.$\"+%Q&[(y*F17$$\"+
\"G9d)zF.$\"+/Z>[)*F17$$\"+_G9d#)F.$\"+I)4'*))*F17$$\"+B9dG&)F.$\"+)\\
z$=**F17$$\"+%******z)F.$\"+e^!)Q**F17$$\"+l&G92*F.$\"+#*)[O&**F17$$\"
+Or&GM*F.$\"+4eok**F17$$\"+2dG9'*F.$\"+3J1t**F17$$\"+yUr&))*F.$\"+g\"G
&z**F17$$\"+&G9d,\"!\")$\"+?Id%)**F17$$\"+Ur&G/\"Fdq$\"+&*p_))**F17$$
\"+******p5Fdq$\"+Pph\"***F17$$\"+cG9(4\"Fdq$\"+ro+%***F17$$\"+8dGC6Fd
q$\"+:O#e***F17$$\"+q&G9:\"Fdq$\"+*Rsr***F17$$\"+F9dy6Fdq$\"+Z^9)***F1
7$$\"+%G9d?\"Fdq$\"+#oB))***F17$$\"+Tr&GB\"Fdq$\"+L*z#****F17$$\"+)***
**f7Fdq$\"+b\\d****F17$$\"+bG9(G\"Fdq$\"+P\"e(****F17$$\"+7dG98Fdq$\"+
%Gn)****F17$$\"+p&G9M\"Fdq$\"+/(H*****F17$$\"+E9do8Fdq$\"+)*R'*****F17
$$\"+$G9dR\"Fdq$\"+H@)*****F17$$\"+Sr&GU\"Fdq$\"+y8******F17$$\"+(****
*\\9Fdq$\"+Uf******F17$$\"+aG9x9Fdq$\"+I\")******F17$$\"+6dG/:Fdq$\"+_
\"*******F17$$\"+o&G9`\"Fdq$\"+?'*******F17$$\"+D9de:Fdq$\"+J)*******F
17$$\"+#G9de\"Fdq$\"+D********F17$$\"+Rr&Gh\"Fdq$\"+n********F17$$\"+'
*****R;Fdq$\"+&)********F17$$\"+`G9n;Fdq$\"+$*********F17$$\"+5dG%p\"F
dq$\"+(*********F17$$\"+n&G9s\"Fdq$\"+**********F17$$\"+C9d[<FdqFgy7$$
\"+\"G9dx\"Fdq$\"+++++5F.7$$\"+Qr&G!=FdqF_z7$$\"+&*****H=FdqF_z-%'COLO
URG6&%$RGBG$\"#5!\"\"F*F*" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 
45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 90 "# Create initial conditions that correspond to 1 cust
omer in the queue and no new arrivals" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "InitP := vector(2, [0,0]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&InitPG-%'vectorG6#7$\"\"!F)" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 29 "InitN := vector(2, [.3, .7]);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%&InitNG-%'vectorG6#7$$\"\"$!\"\"$\"\"(F+" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "InitNN := vector(2):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "InitNN[1] := matrix(2,2, 0);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%'InitNNG6#\"\"\"-%'matrixG6#7$7
$\"\"!F-F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "InitNN[2] := \+
matrix(2,2,0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%'InitNNG6#\"\"#-%
'matrixG6#7$7$\"\"!F-F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "
InitNA := matrix(2, 2, [0,0,0,0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%'InitNAG-%'matrixG6#7$7$\"\"!F*F)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 77 "# create a procedure to evaluate the moment different
ial equations with these" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 
"# initial condition in place at time t = 5" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 29 "read(`c:PhPhInfNumericInit`):" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 77 "mom := PhPhInfNumericInit(A, lambda, B, mu, \+
5, InitP, InitN, InitNA, InitNN);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>
%$momG75/%\"tGR6#F'6\"6#%aoCopyright~(c)~1993~by~the~University~of~Wat
erloo.~All~rights~reserved.GF*9$F*F*F*/-%#M1GF)RF)6&%(rkf45_sG%)outpoi
ntG%#r1G%#r2GF+F*C&>8%-%&evalfG6#F-@$52-%$absG6#,&$\"\"&\"\"!\"\"\"F9!
\"\"-FA6#,&&%,loc_controlG6#\"\"#FGF9FH4-%'memberG6$&FM6#\"\"'<*FHFG!
\"#FO$FOFF$FHFF$FGFF$FXFFC%>FM-%%copyG6#=F*6#;FG\"$X\"E\\[l\\t\"$+\"FF
\"#&)FF\"#qFFF_oFF\"#dFF\"#UFF\"#FFF\"#7FF\"$;\"FF\"$,\"FF\"#')FF\"#rF
F\"$I\"FF\"#eFF\"#VFF\"#GFF\"#8FF\"$<\"FF\"$-\"FF\"#()FF\"#sFF\"$J\"FF
\"#fFF\"#WFF\"#HFF\"#9FF\"$=\"FF\"$.\"FF\"#))FF\"#tFF\"$K\"FF\"#gFF\"#
XFF\"#IFF\"#:FF\"$>\"FF\"$/\"FF\"#*)FF\"#uFF\"$L\"FF\"#hFF\"#YFF\"#JFF
\"#;FFFG\"#=\"$?\"FF\"$0\"FF\"#!*FF\"#vFF\"$M\"FF\"#iFF\"#ZFF\"#KFF\"#
<FFFOFD\"$@\"FF\"$1\"FF\"#\"*FF\"#wFF\"$N\"FF\"#jFF\"#[FF\"#LFFF\\rFF
\"\"$FD\"$A\"FF\"$2\"FF\"##*FF\"#xFF\"$O\"FF\"#kFF\"#\\FF\"#MFF\"#>FF
\"\"%$FG!\"%\"$B\"FF\"$3\"FF\"#$*FF\"#yFF\"$P\"FF\"#]FF\"#NFF\"#?FFFEF
is\"$C\"FF\"$4\"FF\"#%*FF\"#zFF\"$Q\"FF\"#^FF\"#O$\"\"(FH\"#@FFFVFG\"$
D\"FF\"$5\"FF\"#&*FF\"#!)FF\"#lFF\"$R\"FF\"#_FF\"#P$F^sFH\"#AFFF[u$FG!
\"&\"$E\"FF\"$6\"FF\"#'*FF\"#\")FF\"#mFF\"#`FF\"#QFF\"#BFF\"\")FH\"$F
\"FF\"$7\"FF\"#(*FF\"##)FF\"#nFF\"#aFF\"#RFF\"#CFF\"\"*FH\"$G\"FF\"$8
\"FF\"$S\"FF\"#)*FF\"#$)FF\"#oFF\"$T\"FF\"#bFF\"#SFF\"#DFF\"#5FF\"$H\"
FF\"$9\"FF\"$U\"FF\"#**FF\"#%)FF\"#pFF\"$V\"FF\"#cFF\"#TFF\"#EFF\"#6FF
\"$:\"FF\"$W\"FF>%'loc_y0G-Fjn6#=F*6#;FGF\\rE\\[l3FgoFFF`pFFFipFFFbqFF
F[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>
%'loc_y1G-Fjn6#=F*FhxE\\[l!@$0F@FFC$>&FM6#F^sF9@%1%'DigitsG-%'evalhfG6
#FiyC$>8$-%*traperrorG6#-F[z6#-%=dsolve/numeric_solnall_rkf45G6,%&loc_
FG-%$varG6#FM-Fjz6#Fdx-Fjz6#F\\y-Fjz6#%'loc_F1G-Fjz6#%'loc_F2G-Fjz6#%'
loc_F3G-Fjz6#%'loc_F4G-Fjz6#%'loc_F5G-Fjz6#%)loc_workG@$/F_z%*lasterro
rGC%>8&-%+searchtextG6$.F[z-%(convertG6$-%#opG6$FG7#F_z%%nameG>8'-Fi\\
l6$.%)hardwareGF\\]l@%50Fg\\lFF0Fe]lFF-Ffz6,FhzFMFdxF\\yFb[lFe[lFh[lF[
\\lF^\\lFa\\l-%&ERRORG6#F_zF^^l&Fdx6#FGF*6%FMFdxF\\yF*/-%#M2GF)RF)F2F+
F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFf
oFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFF
dpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFF
FbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rF
FF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sF
FF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[
tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFF
htFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uF
guFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFf
vFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFF
dwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFF
FbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\r
FeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@
$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF
^^l&FdxFNF*Fe^lF*/-%'N2N2A1GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\
[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pF
FF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpF
FF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhq
FFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFO
FDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFF
bsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatF
FFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_u
FFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFF
F_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wF
FF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwF
FF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF
`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFj
vFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\l
C%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&FdxFfyF*Fe^lF*/-%'N1N1A1GF)RF
)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFe
oFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFF
cpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFF
FaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rF
FF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFF
F\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhs
FisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFF
gtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuF
FF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFe
vFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFF
cwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFF
FaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOF
FF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE
\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^
lF`^lF^^l&Fdx6#FhsF*Fe^lF*/-%'N1N2A1GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#
=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF
[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFF
FipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqF
FFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdr
FFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`
sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFF
F`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uF
FF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF
]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF
[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFF
FiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\
[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[u
FFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF
`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#FEF*Fe^lF*/-%'N
2N1A1GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_
oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFF
apFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFF
F_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\
rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFF
FjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfs
FFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFF
etFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFF
FduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFc
vFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFF
awFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFF
F_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGF
FFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn
6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l
@%F[^lF^^lF`^lF^^l&FdxFUF*Fe^lF*/-%'N2N2A2GF)RF)F2F+F*C&>F9F:@$F>C%>FM
-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFF
FjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpF
FFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeq
FFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFc
rFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF
_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tF
FF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFV
FGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF
\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFF
FjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwF
FFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*
FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFF
VFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC
$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#F[uF*Fe^l
F*/-%'N1N1A2GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFF
FcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pF
FF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]q
FFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[r
FFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhr
FFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFF
esFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctF
FFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbu
FFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFH
FbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wF
FF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]x
FFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF
[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F
\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>F
e]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#FavF*Fe^lF*/-%'N1N2A2GF)RF)F2F+F*C&>F9F
:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFF
FhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepF
FFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcq
FFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFa
rFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF
\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\t
FFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFit
FjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFF
FjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvF
FFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFew
FFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>F
dx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sF
FFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>
FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx
6#FjvF*Fe^lF*/-%'N2N1A2GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\
tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]p
FFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[q
FFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFi
qFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFf
rFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFF
FcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbt
FFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`
uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vF
FF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]w
FFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[x
FFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFF
FipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFF
ewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>F
g\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#FewF*Fe^lF*/-%%N1A1GF)RF)F2F
+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFF
foFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFF
FdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqF
FFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_r
FFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\s
FFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF
[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFF
FhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[u
FguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFF
fvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFF
FdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxF
FFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\
rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!
@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^l
F^^l&Fdx6#F`xF*Fe^lF*/-%%N2A1GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE
\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\
pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFj
pFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFF
hqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFF
FOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasF
FFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFa
tFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF
_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^v
FFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\
wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFj
wFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoF
FF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFF
FjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc
\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#FgoF*Fe^lF*/-%%N1A2GF
)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoF
FFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbp
FFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`
qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF
^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[
sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFF
FhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFft
FFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuF
fuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvF
FFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbw
FFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`
xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjt
FOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*Fh
xE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF
^^lF`^lF^^l&Fdx6#F`pF*Fe^lF*/-%%N2A2GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#
=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF
[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFF
FipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqF
FFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdr
FFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`
sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFF
F`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uF
FF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF
]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF
[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFF
FiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\
[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[u
FFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF
`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#FipF*Fe^lF*/-%#
P1GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFF
FdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapF
FFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_q
FFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]
rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjr
FFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFF
gsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetF
FFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFdu
FeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFF
FdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawF
FFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_x
FFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFe
rFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=
F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F
[^lF^^lF`^lF^^l&Fdx6#FbqF*Fe^lF*/-%#P2GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn
6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoF
FF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhp
FFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFf
qFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFF
drFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFF
F`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_t
FFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]
uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vF
FF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvF
HF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhw
FFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE
\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF
[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_
zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#F[rF*Fe^lF*/-
%#N2GF)RF)F2F+F*C&>F9F:@$F>C%>FM-Fjn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_o
FFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFjoFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFa
pFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFFhpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF
_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFFFfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\r
F]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrFFFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFF
jrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_sFFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsF
FFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFe
tFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFGF]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFF
duFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcv
FFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFjvFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFa
wFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFFhwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF
_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*FhxE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFF
FerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVFFF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6
#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@
%F[^lF^^lF`^lF^^l&Fdx6#FerF*Fe^lF*/-%#N1GF)RF)F2F+F*C&>F9F:@$F>C%>FM-F
jn6#=F*F]oE\\[l\\tFaoFFFboFFFcoFFF_oFFFdoFFFeoFFFfoFFFgoFFFhoFFFioFFFj
oFFF[pFFF\\pFFF]pFFF^pFFF_pFFF`pFFFapFFFbpFFFcpFFFdpFFFepFFFfpFFFgpFFF
hpFFFipFFFjpFFF[qFFF\\qFFF]qFFF^qFFF_qFFF`qFFFaqFFFbqFFFcqFFFdqFFFeqFF
FfqFFFgqFFFhqFFFiqFFFjqFFF[rFFFGF\\rF]rFFF^rFFF_rFFF`rFFFarFFFbrFFFcrF
FFdrFFFerFFFOFDFfrFFFgrFFFhrFFFirFFFjrFFF[sFFF\\sFFF]sFFF\\rFFF^sFDF_s
FFF`sFFFasFFFbsFFFcsFFFdsFFFesFFFfsFFFgsFFFhsFisF[tFFF\\tFFF]tFFF^tFFF
_tFFF`tFFFatFFFbtFFFEFisFctFFFdtFFFetFFFftFFFgtFFFhtFFFitFjtF\\uFFFVFG
F]uFFF^uFFF_uFFF`uFFFauFFFbuFFFcuFFFduFeuFfuFFF[uFguFiuFFFjuFFF[vFFF\\
vFFF]vFFF^vFFF_vFFF`vFFFavFHFbvFFFcvFFFdvFFFevFFFfvFFFgvFFFhvFFFivFFFj
vFHF[wFFF\\wFFF]wFFF^wFFF_wFFF`wFFFawFFFbwFFFcwFFFdwFFFewFFFfwFFFgwFFF
hwFFFiwFFFjwFFF[xFFF\\xFFF]xFFF^xFFF_xFFF`xFFFaxFFFbxFF>Fdx-Fjn6#=F*Fh
xE\\[l3FgoFFF`pFFFipFFFbqFFF[rFFFGFFFerFjtFOFFF\\rFeuF^sFFFhsFFFEFFFVF
FF[uFFFavFFFjvFFFewFFF`xFF>F\\y-Fjn6#=F*FhxE\\[l!@$FbyC$>FeyF9@%FhyC$>
F_zF`z@$Fc\\lC%>Fg\\lFh\\l>Fe]lFf]l@%F[^lF^^lF`^lF^^l&Fdx6#F\\rF*Fe^lF
*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "mom(5);" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#75/-%\"tG6#\"\"&F(/--%#M1G6#F&F'\"\"!/--%#M2GF-F'F
./--%'N2N2A1GF-F'F./--%'N1N1A1GF-F'F./--%'N1N2A1GF-F'F./--%'N2N1A1GF-F
'F./--%'N2N2A2GF-F'F./--%'N1N1A2GF-F'F./--%'N1N2A2GF-F'F./--%'N2N1A2GF
-F'F./--%%N1A1GF-F'F./--%%N2A1GF-F'F./--%%N1A2GF-F'F./--%%N2A2GF-F'F./
--%#P1GF-F'F./--%#P2GF-F'F./--%#N2GF-F'$\"\"(!\"\"/--%#N1GF-F'$\"\"$F[
p" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "mom(10);" }}{PARA 12 "
" 1 "" {XPPMATH 20 "6#75/-%\"tG6#\"#5F(/--%#M1G6#F&F'$\"1*z@+^C%yl!#;/
--%#M2GF-F'$\"19(orI\"f3%*F0/--%'N2N2A1GF-F'\"\"!/--%'N1N1A1GF-F'F;/--
%'N1N2A1GF-F'F;/--%'N2N1A1GF-F'F;/--%'N2N2A2GF-F'F;/--%'N1N1A2GF-F'F;/
--%'N1N2A2GF-F'F;/--%'N2N1A2GF-F'F;/--%%N1A1GF-F'F;/--%%N2A1GF-F'F;/--
%%N1A2GF-F'F;/--%%N2A2GF-F'F;/--%#P1GF-F'F;/--%#P2GF-F'F;/--%#N2GF-F'$
\"1zWssOE9=!#=/--%#N1GF-F'$\"1M&3(*z4=3%!#@" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 0 "" }}}}{MARK "44 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }