{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 "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 257 "" 0 1 178 0 0 0 1 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 "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 "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 
0 2 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 "" 
0 257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 52 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 "" 0 258 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 }{PSTYLE "" 
0 259 1 {CSTYLE "" -1 -1 "" 0 1 0 0 7 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 "" 0 260 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 }{PSTYLE "" 
0 261 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 "" {TEXT -1 33 "Global Stability worked ex
ample 2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 46 "Find first integrals for the dynamical sy
stems" }}{PARA 256 "" 0 "" {OLE 1 3597 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:
j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::fyyyyya:nYf::wyyyqy;:::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq
^H_mvJ::::::::gj<vyyuyJ<j?V:;J:>R<:T><::;GXEXDIDNwW:A:;x:B:F:YLpfF>:::
::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:=:jR>@Wlj^HMMufF;J:::::::N=?:xI:;Z
::::::j:>:C=;:=j[vGUMrvC?MoJ::::::::JCN:yyyxI:;Z::::::j;B:s<;:wA?Z::C:
J=j=B:K:M:OJ:V;;J@>:UJ:n;nYvY:::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::=Z<B:<::::::::::;]:^Z;r:Eb<CR:=R:_sZ
ke;?J;TrXDJ=qLCHrvFZlVjsoZ<:_rZkE:Fe_WHt]_bFtZAZ;>d:p^H[::::::::::j:<J
yyy;d:yayY;AZ:>:;`:Z@O<;j`@Pt\\Pd`QrPPJPnrPqjLqnxPqF;fbk;::JtaMSAA;B::
::::::vYxy;J<<:=J:vYxY;J:JuM:YG;N]<j:F;Hj@@:?jDJ:f:;j>D:;B:CZ:NZ;F:E:=
b:yyyyI:E:M:<J<JQ@JFf:F`<F:<j<j?D:<j<J@DJZLJ:MJA>:Gc;YJCvYxY:<J>JZyyay
YZLjALj?JMJ@fc[;>:;I:EZ:F;NZ:vCS=[LsfFaMR>@>Z::::::::kJ;@:;J;>Z:vYxY:>
Z::::::j<B:?d:B:N:Y<>D_=a=[;;B:::::::JF>:yay=J:B::::::nYyA<:::::::::::
:jysy:>:<:::::::::::::::::::vYxI:;Z:::::::::]:qi:;fy>Z:JBAJ:<Z<b:;B>UD
O;SKkEW_URXM<>:US:F[:>Z:N`Dfb;>H=B:<JM<J<G;N@Ev:gm:JMjDB:qQ:[:JBAj:J:D
:cTTUUSaEBWTSiEB_tUUURWmF^:f?=J<JrA:MJ:N@]T:Sl:B:kMN=j>JSjDIj:<J:FIK?N
@]v:kl:jv:N@no<F:;JvJB<Z:VYZ:JBAJ:b:DZJVdscRYEUDK<jP>:C:[q:F;;JSdjb^e;
F:;B:uC:kp>JSJCEj:>:UC:k@N@]Nn@j:jXJ?B:Gc;N;yyyxy:J:><<jw?<I:;JXE:<j:D
J;Dlc`qsLqlp`h_:f_;F:C:[Q:VZ:B:;:::::::::::::::::::::::6:" }}{PARA 0 "
" 0 "" {TEXT -1 3 "and" }}{PARA 257 "" 0 "" {OLE 1 3597 1 "[xm]Br=WfoR
rB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::wyyyqy;::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyJ<j?V:;J:>R<:T><::;tyGXDIDNwW:A
:;v:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:=:jR>@Wlj^HMMufF;
J:::::::N=?:xI:;Z::::::j:>:C=;:=j[vGUMrvC?MoJ::::::::JCN:yyyxI:;Z:::::
:j;B:s<;:wA?Z::C:J=j=B:KJ:F;N;;j?>:S:UJ:nYvY::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::j:b:<Z::::::::::JjB:C
R:Hj<dJ<@j:@JSHRvTJ;NZ@haLVjr?Z;N`=Hi@N:Zs?:<O:UlfPpsbIP\\lb=X:@Jb<RMt
><::::::::::=B:wyyAb<vYxy?V:<J:>R<:TNC>:UTRcETcTX[US;SK]UW=EWMuUWm>j\\
@A:::cYH_WV>Z::::::::jysyA:CB:;j:>:yayQ:>:N^>jQM:Kb:F:MZ=^Z;B:?jDJ:f:;
j>D:;B:CZ:NZ;F:E:=b:yyyyI:E:M:<J<JQ@JFf:F`<F:<j<j?D:<j<J@DJZLJZIJA>:Gc
;YJCvYxY:<J><:;xyYxy;v:YB;Q:G;Sj`@@J:>v:f:<j>J;<ja^G>D_mlVH[KRJ:<:::::
::>=?R:>Z:N:;B:yayA:;B::::::f:<JRD:<:?ja:[LsjsJR<:;B:::::::JF>:yay=J:B
::::::nYyA<::::::::::::jysy:>:<:::::::::::::::::::vYxI:;Z:::::::::]:qi
:;fy>Z:JBAZ:b:DJ:<k`LOJPNvLQs@`d^:f_;j><J:<JSdj\\@Jr<j:<Z:n^:^JM:_k<IJ
uF:n>f<<jw?JB:>l;F:>Z<Jd`ppPps<LaPpu<Lcxpp@PqFKC:Uk:^:>x;j>>:_kb@J`F:<
Jv>o:F;N@Nn<F:;Jv:N@]v:kl:<:mMN;_;og:=:m=[B:<jw;<:[V:;Z<b:<kc`a\\wgfc>
C:UK:^:>X=j>>:_c<]Lh@j:>Z:fAkp>JSFLKU:=:u;OZ:n^@J?vyyuy=:;JBB:qQBv:>:s
g:B:=b:?bBaTXaEWEUUtP<jPF:C:[Q:VZ:B:;::::::::::::::::::::::::::6:" }}
{PARA 0 "" 0 "" {TEXT -1 56 "and decide whether or not they are conser
vative systems." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 62 " Load the linalg package and enter the first set of \+
equations." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 
1 "" {TEXT -1 32 "Warning, new definition for norm" }}{PARA 7 "" 1 "" 
{TEXT -1 33 "Warning, new definition for trace" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 6 "f:=-y;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 5 "g:=x;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 91 " To find a first in
tegral first divide g by f  to obtain a differential equation in x and
 y" }}{PARA 258 "" 0 "" {OLE 1 3597 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::
>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::fyyyyya:nYf::wyyyqy;::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_
mvJ::::::::gj<vyyuyJ<j?V:;J:>R<:T><::;tyGXDIDNwW:A:;v:B:F:YLpfF>::::::
:::J?NZ;vyyyyyY:vYxY:B:::::::c:;:=:jR>@Wlj^HMMufF;J:::::::N=?:xI:;Z:::
:::j:>:C=;:=j[vGUMrvC?MoJ::::::::JCN:yyyxI:;Z::::::j;B:s<;:wA?Z::C:J=j
=B:KJ:F;N;;j?>:S:UJ:nYvY::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::j:b:<Z::::::::::JjB:CR:Hj<dj:HJA>Z;NZ@ppL
VjsS:?:\\A?b[us:W:_rZIm:D[`[:RCD]Hr;R:[DZGcM>Z::::::::::j:<Jyyy;d:yayY
;A:;JZC:bK_J:fc[_hb_ds?h_?^?GhoGfnGgioGM:ETV:::^xsNpkK:<::::::::yayY:^
Z:>:=J:vYxY;J:j;Q:SF;nZ<B:=j>r:AR:<j;<jDB:;j<>:Mb:>Z:^:<J;@j:f:FZ<vyyy
y:f:F;B:C:WS:kj<jRDj:B:E:Qb:B:E:Sb:;C;PJA>:Gc;YJCvYxY:<J>B:;xyewy;H;ex
:Q:G;Sj`@@J:>v:F[:B:oi:NZ:vCS=[LsfFaMR>`:J:<:::::::>=?R:>:?J:<jysy;J:<
::::::EZ:n_<Z:J;vCJbNHVH>@>Z::::::::kJ:vYxI:;Z::::::JywYB:::::::::::::
yay=J:B:::::::::::::::::::jysy:>:<::::::::[B:<:N^:^:;jP@:EZ:^\\<fy;>BE
Z:V\\<fy;vu;f:^<Fj=f:V<fq>f:;j>D:<JB>Z:Vy<>jxM:<:[V:;Z<b:<kc`qpDpql`]^
:f?=j>>:_c<QU:il:<:gG:;H:MB:N@Mv:il:JU;N@;e:Id:=J:fAkpDjw;<:[V:=J:>Z<>
:cTTPps<LaPpu<Lcxpp@Pq^[Z^:f??J<JrAj:F;;JSVGiR:=J:FIKo>JSFKiR:=:kMN=:N
@Qm\\Ij:<:IE:;@N@MnhIj:Jm^GOZ:n>N;yyyxy:<:;JBB:qQBv:>:sg:B:=J;Dlc`qsLq
lp`h_:f?=J<JrOZ:V:<J:::::::::::::::::::::::::::6:" }}{PARA 0 "" 0 "" 
{TEXT -1 48 "Remember to write each y term as a function of x" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "deq:=diff(y(x),x)=-x/y(x);" 
}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
58 "Use the dsolve command to solve the differential equation." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "dsolve(deq,y(x),implicit);" 
}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 
0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "Thus a first integral is" 
}}{PARA 259 "" 0 "" {OLE 1 3597 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>
N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::fyyyyya:nYf::wyyyqy;::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ:
:::::::gj<vyyuyJ<j?V:;J:>R<:T><::;Y[KXDIDNwW:A:;v:B:F:YLpfF>:::::::::J
?NZ;vyyyyyY:vYxY:B:::::::c:;:=:jR>@Wlj^HMMufF;J:::::::N=?:xI:;Z::::::j
:>:C=;:=j[vGUMrvC?MoJ::::::::JCN:yyyxI:;Z::::::j;B:s<;:wA?Z::C:J=j=B:K
J:F;N;;j?>:S:UJ:nYvY::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::j:b:<Z::::::::::JjB:CR:Hj<dj:Dk;aq;x:QR>=b:Kf
FN[<njeN\\=@i=v;::uc>AvJbFtZAZ;>d:p^H[::::::::::j:<Jyyy;d:yayY;A:;JZC:
bK_J:<j`@Pt\\Pd`QrPPJPnrPqjLqnxPqF;fbk;::JtaMSAA;B::::::::vYxy;J<<:=J:
vYxY;J:jJ\\:qe:ny;j:F;HjyC:?jDJ:f:;j>D:;B:C:?R:=j<j:Djyyyy=j<j>Z:^:n_;
>=E:]c:=Z:f:V[<Z:f:^[<>b<>fAn;n^@v;_jysy;B:KJ:<JZyYTyYJXJtAj?JMJ@fc[;>
:[l<B:M:?B:YLpJbNHEms>@[;;B:::::::JFNZ;J:N:;B:yayA:;B::::::f:<JMDZ:B:N
:Y<>D_=a=[;;B:::::::JF>:yay=J:B::::::nyyyYB:::::::::::::yay=J:B:::::::
::::::::::::jysy:>:<::::::::f<<jwEJ:uI<:[V:=:;b:<Kd`ppPps<LaPpu<Lcxpp@
PqfOC:US:F[:>Z:N`D>n;>E=J:<jv>OM:_;Ms:=J:>IKG:JSjBTj:>:ALxg<VY;syB:>l;
>:<Z<:::FAC:Uk:^:>x;j>>:_Ktg];F:;B:<JrF;b<nw=F:B:><<jw?JB:>l;Z<b:<kc`a
\\wgfc>C:UK:^:>X=j>>:_c<;owAj:>Z:V?kp>JSjkMj:>:uKfO;<JMT:OjyyiyI:>:[Z:
VY[j=B:;JXE:<j:NZ\\VdsWhngfgcUC:Uk:^:>X;j;<Z:>::::::::::::::::::::::::
::::6:" }}{PARA 0 "" 0 "" {TEXT -1 44 "As this expression exists for a
ll values of " }{TEXT 256 1 "x" }{TEXT -1 4 " and" }{TEXT 257 3 " y " 
}{TEXT -1 47 "it is also a conserved quantity for the system." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 61 "Now enter
 the second set of equations and repeat the process." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 6 "f1:=x;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "g1:=y(t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "deq1:=diff(y(x),x)=y(x)/x;" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "dsolve(deq1,y(x),implicit);
" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
26 " Thus a first integral is " }}{PARA 260 "" 0 "" {OLE 1 3597 1 "[xm
]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::wyyyq
y;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyJ<j?V:;J:>R<:T><::;Y[KX
DIDNwW:A:;t:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:=:jR>@Wlj
^HMMufF;J:::::::N=?:xI:;Z::::::j:>:C<;:=j[vGUMrvC?MoJ::::::::JCN:yyyxI
:;Z::::::j;B:s<;:wA?Z::C:J=j=B:K:M:OJ:V;;J@Jyky;::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::j:b:<Z::::::::::J
Z<Z:^Z;r:Eb<=r:WJ:@JCHrvFZLBXNZ@haLVj]KSJ::::::::::::::::=B:wyyAb<vYxy
?V:<J:>R<:TNC>:UTRcETcTX[US;SK]UW=EWMuUWm>j\\@A:::cYH_WV>Z::::::::jysy
A:CB:F:;jysy?:;:?C;fb>JXA:=j>r:wP:<j;<jDJ:f:;j>D:<J<B:?R:=j<j:Djyyyy=j
<j>Z:^:n_;>=E:]c:=Z:f:V[<Z:f:^[<>v=>r=n;n^@v;_jysy;B:KZ:>ryipyAj=fl=V;
n>^;UTR:;JZ=j><Z:Ny<J;<ja^G>D_mlVH[KR<:;B:::::::JFNZ;J:N:;B:yayA:;B:::
:::f:<JlAZ:B:N:Y<>D_=a=[;;B:::::::JF>:yay=J:B::::::nYyA<::::::::::::jy
sy:>:<:::::::::::::::::::vYxI:;Z::::::::JB<Z::?C:C:US:f:<JDDjxAJZf:<jC
DjxAZ;f:F[<Z:f<Vy<>jx]:JBAj:B:;b:<Kd`ppPps<LaPpu<Lcxpp@PqfOC:Uk:F;;JSd
jo@JvF:FIKo>JSFk=NH=:kMN=:N@;e:gh:=J:VFKOBB:qAB:>l;>:DJ:DZJVdscRYEUDK<
jPN:C:[Y:=:;JSd:KW:=J:fAkP?B:G;OjyyiyI:>:[Z:VY[j=J:^q<Z:F:?bBaTXaEWEUU
tP<jPF:C:[Q;<j;B:;:::::::::::::::::::::::::::::::::::::::4:" }
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 33 "This expressi
on is undefined for " }}{PARA 261 "" 0 "" {OLE 1 3597 1 "[xm]Br=WfoRrB
:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::wyyyqy;::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyJ<j?V:;J:>R<:T><::;Y[KXDIDNwW:A:;
t:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:=:jR>@Wlj^HMMufF;J:
::::::N=?:xI:;Z::::::j:>:C<;:=j[vGUMrvC?MoJ::::::::JCN:yyyxI:;Z::::::j
;B:s<;:wA?Z::C:J=j=B:K:M:OJ:V;;J@Jyky;::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::j:b:<Z::::::::::JZ<Z:^Z;r:E
b<=b>AFX?b[uc:KFF>gNGijgFyyYkjLN@>:::::::::::::::j:nyyYZDjysyQj;J:>R;B
:bK_J:fc[_hb_dsSS;SK]UW=EWMuUWm>j\\@A:::cYH_WV>Z::::::::jysyA:CB:F:;jy
sy?:;:qx:vn;JUAZ:F:MZ=VUN:e:;j<>:Mb:B:C:?R:=j<j:Djyyyy=j<j>Z:^:n_;>=E:
]c:=Z:f:V[<Z:f:^[<>j;>j=n;;JMTjAN<yayAZ:>;;JZyYjyYZHJj@j?JMJ@fc[;>Z:>^
:f:<j>J;<ja^G>D_mlVH[KR<:;B:::::::JFNZ;J:N:;B:yayA:;B::::::f:<JiA:<:?j
a:[LsjsJRJ:<:::::::>=;jysy:>:<::::::wqy[:::::::::::::vYxI:;Z::::::::::
::::::::::yay=J:B::::::::jDB:qi:;fyB:>L=:;b:<Kd`ppPps<LaPpu<Lcxpp@Pq>F
C:US:F[:>Z:N`D>b;^C=J:<Jv>o:><<jw;<:[V:;Z<b:<kc`a\\wgfS>C:Uk:^:>x;j>>:
_c<^e;FZ:>Z:fAkpDjw;<:[V:B:D:c\\_;::f?;J<JrG:MJ:N@Nk<F:;B:[KZ=J?B:G;Oj
yyiyI:>:[Z:VY[j=J:^q<Z:F:?bBaTXaEWEUUtP<jPF:C:[Q:VZ:B:;:::::::::::::::
:::::::::::::::::::::::::4:" }}{PARA 0 "" 0 "" {TEXT -1 54 "and theref
ore not a conserved quantity for the system." }}}}{MARK "20" 0 }
{VIEWOPTS 1 1 0 1 1 1803 }