{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 Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "Courier" 0 1 0 0 0 0 0 0 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 "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 
255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple
 Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 
1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 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 0 
0 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 0 "" 0 "" {TEXT -1 17 "MAPLE Worksheet: " }{TEXT 
256 13 "unplugged.mws" }}{PARA 18 "" 0 "" {TEXT -1 16 "MAPLE UNPLUGGED
:" }}{PARA 18 "" 0 "" {TEXT -1 25 "SOLVING THE WAVE EQUATION" }}{PARA 
19 "" 0 "" {TEXT -1 17 "Andrew J. Bernoff" }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 36 "The Separation of Variabl
e Solutions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
12 "with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name cha
ngecoords has been redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 14 "F:=(sin(x))^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FG*$)-%$
sinG6#%\"xG\"\"#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "N:
=20;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG\"#?" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 16 "plot(F,x=0..Pi);" }}{PARA 13 "" 1 "" 
{GLPLOT2D 291 291 291 {PLOTDATA 2 "6%-%'CURVESG6$7en7$$\"\"!F)F(7$$\"3
Uzi`m*))QU$!#>$\"3six7SN%=<\"!#?7$$\"3%)eD2LzxZoF-$\"3'R*3Q\"H\")=o%F0
7$$\"32b4U:a)o#)*F-$\"3.K4.0LsD'*F07$$\"3)\\$px*G*f!G\"!#=$\"3gq&=A]*)
4j\"F-7$$\"3+5@exGm]>F>$\"3)H#=J(fnqv$F-7$$\"3[99!=3o^i#F>$\"3i[m9\"RX
Yt'F-7$$\"35!\\D0[nkH$F>$\"3)eo!G\")R(y/\"F>7$$\"37\"=Za&z%)=RF>$\"3q[
Tb7Hre9F>7$$\"3edXa()oGjXF>$\"3r^3wA@xT>F>7$$\"3W%3**Hbm(H_F>$\"3Mq?t;
Uh%\\#F>7$$\"37PRr4)3T*eF>$\"3)oQ4:<I**3$F>7$$\"3y\"[)yykYxlF>$\"3BTwp
aoIPPF>7$$\"3[s'ocGo$zrF>$\"3mzMl!eJuK%F>7$$\"3UQ0;gr'p&yF>$\"3VY'3g_&
)H+&F>7$$\"3vFMt?$[t`)F>$\"3s0N1q6C\"o&F>7$$\"3u\"p30k@I>*F>$\"3-j2;l5
4BjF>7$$\"3#*R7\\HeV)y*F>$\"3s/))GbWb')oF>7$$\"3#G[))*)3W'\\5!#<$\"3(4
[olid6_(F>7$$\"30'[@XS@'46F_q$\"3L!Q%=GZu>!)F>7$$\"3G9w$3G*Qz6F_q$\"32
?G)R;eYa)F>7$$\"3>%3*3tc9T7F_q$\"3],^=%4-@&*)F>7$$\"3Ey0DBA!*38F_q$\"3
<:u]iLlH$*F>7$$\"3qjE.#[AMP\"F_q$\"3ES(*fI\"oah*F>7$$\"3*R:_MgU2W\"F_q
$\"3l\"*[^]<\"=$)*F>7$$\"3!*[urYIlr9F_q$\"3>\\psMx--**F>7$$\"3\"Qu#)**
[jD]\"F_q$\"3gD')R2]^`**F>7$$\"3Q--!*yX!f`\"F_q$\"3![Os*)fIy)**F>7$$\"
3=hw\"ymX#p:F_q$\"3MPmeaf(*****F>7$$\"3\")o0'))oxQg\"F_q$\"33!=ckAg!*)
**F>7$$\"3mwM!*4(4&Q;F_q$\"33;8'=,>U&**F>7$$\"31,%Gg)plo;F_q$\"3p!>5[B
QX!**F>7$$\"3CDL:iU!))p\"F_q$\"3&3(y[QF.P)*F>7$$\"3o(R1/.CRw\"F_q$\"3S
Qb-96jJ'*F>7$$\"32Id)H7*>J=F_q$\"3\\<`MwI4P$*F>7$$\"3Gfb7wY,(*=F_q$\"3
cXWl)*Q.t*)F>7$$\"3cM5'zg%pg>F_q$\"3%R@CT)HGb&)F>7$$\"3**oJ8:.SJ?F_q$
\"3+.'QLB$HC!)F>7$$\"3)**p!zPD$\\4#F_q$\"3k;5kHUM&\\(F>7$$\"3k<!fhumF;
#F_q$\"3K2N\\j2R')oF>7$$\"3wak3@YBCAF_q$\"3+J)4\\\"GL/jF>7$$\"39/b<W_V
\"H#F_q$\"3)>&pH8MyXcF>7$$\"3#*z_V$zlYN#F_q$\"3]WWvVpG:]F>7$$\"3cmjYO*
f2U#F_q$\"3'*G2J+%QhN%F>7$$\"3)eq)=U!z`[#F_q$\"3rI1Ia$zCs$F>7$$\"3#Q'H
Hd#HIb#F_q$\"3i[N'Q$35#3$F>7$$\"3z^r&[X%==EF_q$\"3')QtcP(\\$)\\#F>7$$
\"3'=BS\\0:[o#F_q$\"3%\\@uU#[KX>F>7$$\"3[gN,?R*3v#F_q$\"3Es&e'G)\\.X\"
F>7$$\"3@/0LMNh6GF_q$\"3E/vhA3\"*\\5F>7$$\"3w#oUX107)GF_q$\"3w81%4e7$G
mF-7$$\"3W46xe&[M%HF_q$\"3YUrIi`*\\(QF-7$$\"3H.6)e58)4IF_q$\"3O%H!\\Ud
bE<F-7$$\"34QfjvFdTIF_q$\"3g<[U11mq**F07$$\"3Kt2RXCLtIF_q$\"3K!zmVnBAl
%F07$$\"3M'Q?zaiu5$F_q$\"35azW!)=Tk6F07$$\"3!)***\\/l#fTJF_q$\"3op'H^#
GIe)*!#N-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q!F\\^l
-%%VIEWG6$;F($\"+aEfTJ!\"*%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 
45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 32 "W:=(n,x,t)->sin(n*x)*cos(n*c*t);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"WGf*6%%\"nG%\"xG%\"tG6\"6$%)operatorG%&arrowGF**&-%
$sinG6#*&9%\"\"\"9$F4F4-%$cosG6#*(F5F4%\"cGF49&F4F4F*F*F*" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "U:=W(m,x,t);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"UG*&-%$sinG6#*&%\"xG\"\"\"%\"mGF+F+-%$cosG6#*(F,F+%
\"cGF+%\"tGF+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "Uxx:=dif
f(U,x$2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$UxxG,$*(-%$sinG6#*&%\"
xG\"\"\"%\"mGF,F,)F-\"\"#F,-%$cosG6#*(F-F,%\"cGF,%\"tGF,F,!\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "Utt:=diff(U,t$2);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%$UttG,$**-%$sinG6#*&%\"xG\"\"\"%\"mGF,F,-%
$cosG6#*(F-F,%\"cGF,%\"tGF,F,)F-\"\"#F,)F2F5F,!\"\"" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 18 "wave:=Utt-c^2*Uxx;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%waveG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 38 "A:=n->int(F*sin(n*x),x=0..Pi)*(2/Pi);;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"AGf*6#%\"nG6\"6$%)operatorG%&arrowGF(,$,$-%$intG6$*
&%\"FG\"\"\"-%$sinG6#*&9$F3%\"xGF3F3/F9;\"\"!%#PiG*&\"\"#F3F=!\"\"F3F(
F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A(1);A(2);A(3);A(4)
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\")\"\"\"\"\"$!\"\"%#PiGF(F
&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,$*(\"\")\"\"\"\"#:!\"\"%#PiGF(F(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "a:=
[seq(A(n),n=1..20)];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG76,$*(\"
\")\"\"\"\"\"$!\"\"%#PiGF+F)\"\"!,$*(F(F)\"#:F+F,F+F+F-,$*(F(F)\"$0\"F
+F,F+F+F-,$*(F(F)\"$:$F+F,F+F+F-,$*(F(F)\"$$pF+F,F+F+F-,$*(F(F)\"%(G\"
F+F,F+F+F-,$*(F(F)\"%X@F+F,F+F+F-,$*(F(F)\"%:LF+F,F+F+F-,$*(F(F)\"%X[F
+F,F+F+F-,$*(F(F)\"%$y'F+F,F+F+F-" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "a[1];a[2];a[3];a[4];" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#,$*(\"\")\"\"\"\"\"$!\"\"%#PiGF(F&" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\")\"\"\"\"#:!\"\"%#
PiGF(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 36 "V:=(x,t)->sum(a[n]*W(n,x,t),n=1..N);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"VGf*6$%\"xG%\"tG6\"6$%)operatorG%&
arrowGF)-%$sumG6$*&&%\"aG6#%\"nG\"\"\"-%\"WG6%F49$9%F5/F4;F5%\"NGF)F)F
)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "plot(V(x,0),x=0..Pi);
" }}{PARA 13 "" 1 "" {GLPLOT2D 291 291 291 {PLOTDATA 2 "6%-%'CURVESG6$
7W7$$\"\"!F)F(7$$\"3%)eD2LzxZo!#>$\"3mxYB)y!)on&!#?7$$\"3)\\$px*G*f!G
\"!#=$\"35RLB')=A3;F-7$$\"3+5@exGm]>F4$\"3iC.:_xR%p$F-7$$\"3[99!=3o^i#
F4$\"3_(*3)GM<$RnF-7$$\"35!\\D0[nkH$F4$\"3?i#46%[C_5F47$$\"37\"=Za&z%)
=RF4$\"3aN&e1!Q(*f9F47$$\"3edXa()oGjXF4$\"3v!oL19M*Q>F47$$\"3W%3**Hbm(
H_F4$\"3U&>(3(R$\\#\\#F47$$\"37PRr4)3T*eF4$\"334^'>#RW\"4$F47$$\"3y\"[
)yykYxlF4$\"3iyFUFViRPF47$$\"3[s'ocGo$zrF4$\"36'pQH.&HFVF47$$\"3UQ0;gr
'p&yF4$\"3g<*[5>/3+&F47$$\"3vFMt?$[t`)F4$\"3KT&\\eqo0o&F47$$\"3u\"p30k
@I>*F4$\"3zz\"\\$ppuCjF47$$\"3#*R7\\HeV)y*F4$\"3qi\"\\ZR&3))oF47$$\"3#
G[))*)3W'\\5!#<$\"3Vr-%>00._(F47$$\"30'[@XS@'46Fep$\"3L?C9y\")*z,)F47$
$\"3G9w$3G*Qz6Fep$\"3][O4&**)fW&)F47$$\"3>%3*3tc9T7Fep$\"3/,5U$elO&*)F
47$$\"3Ey0DBA!*38Fep$\"3Y\"*H$>0I0L*F47$$\"3qjE.#[AMP\"Fep$\"3N!p;]6&Q
9'*F47$$\"3*R:_MgU2W\"Fep$\"37*\\n9&pUI)*F47$$\"3!*[urYIlr9Fep$\"3c*eM
*)3p8!**F47$$\"3\"Qu#)**[jD]\"Fep$\"33Qr\"**GCQ&**F47$$\"3Q--!*yX!f`\"
Fep$\"3c7j7$pR!*)**F47$$\"3=hw\"ymX#p:Fep$\"3tkhx1f:+5Fep7$$\"3\")o0')
)oxQg\"Fep$\"3=%e.X!eI!***F47$$\"3mwM!*4(4&Q;Fep$\"3A$3[;cWX&**F47$$\"
31,%Gg)plo;Fep$\"3Rz.+?t\"R!**F47$$\"3CDL:iU!))p\"Fep$\"3JMK6LAoN)*F47
$$\"3o(R1/.CRw\"Fep$\"3R4g\\F2XI'*F47$$\"32Id)H7*>J=Fep$\"3\\Ci!HZFzL*
F47$$\"3Gfb7wY,(*=Fep$\"3oipj[Dju*)F47$$\"3cM5'zg%pg>Fep$\"3m:72(zv_b)
F47$$\"3**oJ8:.SJ?Fep$\"3.(R4V()\\D-)F47$$\"3)**p!zPD$\\4#Fep$\"3=62@4
&)e%\\(F47$$\"3k<!fhumF;#Fep$\"3O3AP=@#z)oF47$$\"3wak3@YBCAFep$\"3o`3B
.w%fI'F47$$\"39/b<W_V\"H#Fep$\"36OR<*Go\\k&F47$$\"3#*z_V$zlYN#Fep$\"3w
2e]f758]F47$$\"3cmjYO*f2U#Fep$\"3'zf)*zkkeN%F47$$\"3)eq)=U!z`[#Fep$\"3
z@O#o)4$[s$F47$$\"3#Q'HHd#HIb#Fep$\"3g(eWoKwN3$F47$$\"3z^r&[X%==EFep$
\"3aOkq:&\\i\\#F47$$\"3'=BS\\0:[o#Fep$\"3xv*QQBsC%>F47$$\"3[gN,?R*3v#F
ep$\"3=za#3S-<X\"F47$$\"3@/0LMNh6GFep$\"3'oD@E3!Ga5F47$$\"3w#oUX107)GF
ep$\"3x^7L/MkImF-7$$\"3W46xe&[M%HFep$\"3swyaMi)R\"QF-7$$\"3H.6)e58)4IF
ep$\"3s/+?]wd(p\"F-7$$\"3Kt2RXCLtIFep$\"3QR4Q%4U3l&F07$$\"3!)***\\/l#f
TJFep$\"3w]w\"4%H'Q+#!#F-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG
6$Q\"x6\"Q!Fh\\l-%%VIEWG6$;F($\"+aEfTJ!\"*%(DEFAULTG" 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 39 "c:=1;animate(V(x,t),x=0..Pi,t=0..2*Pi);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"\"" }}{PARA 13 "" 1 "" 
{GLPLOT2D 291 291 291 {PLOTDATA 2 "6%-%(ANIMATEG627#-%'CURVESG6$7S7$$
\"\"!F-%*undefinedG7$$\"+'p%)\\a'!#6F.7$$\"+Rp**38!#5F.7$$\"+4a\\j>F6F
.7$$\"+zQ*zh#F6F.7$$\"+[B\\sKF6F.7$$\"+<3*p#RF6F.7$$\"+(G*[\"e%F6F.7$$
\"+cx)fB&F6F.7$$\"+Fi[!*eF6F.7$$F1F6F.7$$\"+kJ[*>(F6F.7$$\"+N;)R&yF6F.
7$$\"+/,[3&)F6F.7$$\"+v&yH;*F6F.7$$\"+WqZ<)*F6F.7$$\"+^v>Z5!\"*F.7$$\"
+)RZE6\"FjnF.7$$\"+Xs4y6FjnF.7$$\"+#4ZNC\"FjnF.7$$F5FjnF.7$$\"+'yYWP\"
FjnF.7$$\"+Lm*)R9FjnF.7$$\"+![Y`]\"FjnF.7$$\"+Fjzq:FjnF.7$$\"+uhCO;Fjn
F.7$$\"+@gp,<FjnF.7$$\"+oe9n<FjnF.7$$\"+:dfK=FjnF.7$$\"+ib/)*=FjnF.7$$
F9FjnF.7$$\"+c_%*G?FjnF.7$$\"+-^R%4#FjnF.7$$\"+]\\%)f@FjnF.7$$\"+'z%HD
AFjnF.7$$\"+WYu!H#FjnF.7$$\"+!\\%>cBFjnF.7$$\"+PVk@CFjnF.7$$\"+&=%4([#
FjnF.7$$\"+JSa_DFjnF.7$$F<FjnF.7$$\"+DPW$o#FjnF.7$$\"+tN*)[FFjnF.7$$\"
+>MM9GFjnF.7$$\"+nKzzGFjnF.7$$\"+7JCXHFjnF.7$$\"+gHp5IFjnF.7$$\"+1G9wI
FjnF.7$$\"+aEfTJFjnF.-%'COLOURG6&%$RGBG$\"*++++\"!\")F,F,F&F&F&F&F&F&F
&F&F&F&F&F&F&F&F&-%+AXESLABELSG6$%\"xG%!G-%%VIEWG6$;F,$\"0z*e`EfTJ!#9%
(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Cu
rve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "plot3d(V(x,t),x=0
..Pi,t=0..2*Pi);" }}{PARA 13 "" 1 "" {GLPLOT3D 486 486 486 {PLOTDATA 
3 "6$-%%GRIDG6%;$\"\"!F($\"0z*e`EfTJ!#9;F'$\"0ezrI&=$G'F+X,%)anythingG
6\"6\"[gl'!%\"!!#\\bm\":\":0000000000000000000000000000000000000000000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-%+AXESLABELSG6%%\"xG%\"tGQ!F2" 1 4 0 1 10 0 2 4 1 1 
2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 23 "The d'
Alembert Solution" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning,
 the name changecoords has been redefined\n" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 17 "F:=x->(sin(x))^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%\"FGf*6#%\"xG6\"6$%)operatorG%&arrowGF(*$)-%$sinG6#9$\"\"#\"\"\"F
(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(F(x),x=0..Pi)
;" }}{PARA 13 "" 1 "" {GLPLOT2D 485 331 331 {PLOTDATA 2 "6%-%'CURVESG6
$7en7$$\"\"!F)F(7$$\"3Uzi`m*))QU$!#>$\"3six7SN%=<\"!#?7$$\"3%)eD2LzxZo
F-$\"3'R*3Q\"H\")=o%F07$$\"32b4U:a)o#)*F-$\"3.K4.0LsD'*F07$$\"3)\\$px*
G*f!G\"!#=$\"3gq&=A]*)4j\"F-7$$\"3+5@exGm]>F>$\"3)H#=J(fnqv$F-7$$\"3[9
9!=3o^i#F>$\"3i[m9\"RXYt'F-7$$\"35!\\D0[nkH$F>$\"3)eo!G\")R(y/\"F>7$$
\"37\"=Za&z%)=RF>$\"3q[Tb7Hre9F>7$$\"3edXa()oGjXF>$\"3r^3wA@xT>F>7$$\"
3W%3**Hbm(H_F>$\"3Mq?t;Uh%\\#F>7$$\"37PRr4)3T*eF>$\"3)oQ4:<I**3$F>7$$
\"3y\"[)yykYxlF>$\"3BTwpaoIPPF>7$$\"3[s'ocGo$zrF>$\"3mzMl!eJuK%F>7$$\"
3UQ0;gr'p&yF>$\"3VY'3g_&)H+&F>7$$\"3vFMt?$[t`)F>$\"3s0N1q6C\"o&F>7$$\"
3u\"p30k@I>*F>$\"3-j2;l54BjF>7$$\"3#*R7\\HeV)y*F>$\"3s/))GbWb')oF>7$$
\"3#G[))*)3W'\\5!#<$\"3(4[olid6_(F>7$$\"30'[@XS@'46F_q$\"3L!Q%=GZu>!)F
>7$$\"3G9w$3G*Qz6F_q$\"32?G)R;eYa)F>7$$\"3>%3*3tc9T7F_q$\"3],^=%4-@&*)
F>7$$\"3Ey0DBA!*38F_q$\"3<:u]iLlH$*F>7$$\"3qjE.#[AMP\"F_q$\"3ES(*fI\"o
ah*F>7$$\"3*R:_MgU2W\"F_q$\"3l\"*[^]<\"=$)*F>7$$\"3!*[urYIlr9F_q$\"3>
\\psMx--**F>7$$\"3\"Qu#)**[jD]\"F_q$\"3gD')R2]^`**F>7$$\"3Q--!*yX!f`\"
F_q$\"3![Os*)fIy)**F>7$$\"3=hw\"ymX#p:F_q$\"3MPmeaf(*****F>7$$\"3\")o0
'))oxQg\"F_q$\"33!=ckAg!*)**F>7$$\"3mwM!*4(4&Q;F_q$\"33;8'=,>U&**F>7$$
\"31,%Gg)plo;F_q$\"3p!>5[BQX!**F>7$$\"3CDL:iU!))p\"F_q$\"3&3(y[QF.P)*F
>7$$\"3o(R1/.CRw\"F_q$\"3SQb-96jJ'*F>7$$\"32Id)H7*>J=F_q$\"3\\<`MwI4P$
*F>7$$\"3Gfb7wY,(*=F_q$\"3cXWl)*Q.t*)F>7$$\"3cM5'zg%pg>F_q$\"3%R@CT)HG
b&)F>7$$\"3**oJ8:.SJ?F_q$\"3+.'QLB$HC!)F>7$$\"3)**p!zPD$\\4#F_q$\"3k;5
kHUM&\\(F>7$$\"3k<!fhumF;#F_q$\"3K2N\\j2R')oF>7$$\"3wak3@YBCAF_q$\"3+J
)4\\\"GL/jF>7$$\"39/b<W_V\"H#F_q$\"3)>&pH8MyXcF>7$$\"3#*z_V$zlYN#F_q$
\"3]WWvVpG:]F>7$$\"3cmjYO*f2U#F_q$\"3'*G2J+%QhN%F>7$$\"3)eq)=U!z`[#F_q
$\"3rI1Ia$zCs$F>7$$\"3#Q'HHd#HIb#F_q$\"3i[N'Q$35#3$F>7$$\"3z^r&[X%==EF
_q$\"3')QtcP(\\$)\\#F>7$$\"3'=BS\\0:[o#F_q$\"3%\\@uU#[KX>F>7$$\"3[gN,?
R*3v#F_q$\"3Es&e'G)\\.X\"F>7$$\"3@/0LMNh6GF_q$\"3E/vhA3\"*\\5F>7$$\"3w
#oUX107)GF_q$\"3w81%4e7$GmF-7$$\"3W46xe&[M%HF_q$\"3YUrIi`*\\(QF-7$$\"3
H.6)e58)4IF_q$\"3O%H!\\UdbE<F-7$$\"34QfjvFdTIF_q$\"3g<[U11mq**F07$$\"3
Kt2RXCLtIF_q$\"3K!zmVnBAl%F07$$\"3M'Q?zaiu5$F_q$\"35azW!)=Tk6F07$$\"3!
)***\\/l#fTJF_q$\"3op'H^#GIe)*!#N-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%+AX
ESLABELSG6$Q\"x6\"Q!F\\^l-%%VIEWG6$;F($\"+aEfTJ!\"*%(DEFAULTG" 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 65 "G:=x->piecewise(0<=x and x<P
i,F(x),Pi<=x and x<2*Pi, -F(2*Pi-x));" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%\"GGf*6#%\"xG6\"6$%)operatorG%&arrowGF(-%*piecewiseG6&31\"\"!9$2F
2%#PiG-%\"FG6#F231F4F22F2,$*&\"\"#\"\"\"F4F>F>,$-F66#,&*&F=F>F4F>F>F2!
\"\"FDF(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "plot(G(x),x
=0..2*Pi);" }}{PARA 13 "" 1 "" {GLPLOT2D 291 291 291 {PLOTDATA 2 "6%-%
'CURVESG6$7]p7$$\"\"!F)F(7$$\"3eET6j*))QU$!#>$\"3?zhyPN%=<\"!#?7$$\"3;
`#Gi#zxZoF-$\"3!G^O?G\")=o%F07$$\"3\"zBM*)omr-\"!#=$\"3g0fDPgO^5F-7$$
\"3i]cC&eb&p8F9$\"3Ir*yy]%)R'=F-7$$\"3q5)>63x`'>F9$\"3*)z,$[\\FK\"QF-7
$$\"3YqR*pd)>hDF9$\"31SN2EHb<kF-7$$\"3Zs[E^dK,RF9$\"3s\"ee%3[OY9F97$$
\"3ab^NehL]_F9$\"3ce&GxNOC^#F97$$\"35*QhW&\\$Hf'F9$\"3S5O[m*zAv$F97$$
\"3zS11.fpPyF9$\"3-K?)yH9P)\\F97$$\"3upr'fwtl7*F9$\"3!\\&G_\"*o*)eiF97
$$\"3!QRa&4L&f/\"!#<$\"3)z'Ht@o@*[(F97$$\"3YjXwg<#)y6Fao$\"3%[r'z\"H`1
a)F97$$\"36qGW%H$\\:8Fao$\"3ySp*=SUAO*F97$$\"3SH22vMov8Fao$\"3ycnJKh6C
'*F97$$\"3$*)e)pbO(eV\"Fao$\"3yVKp%og!>)*F97$$\"3Q>$*Q*f`(p9Fao$\"3_i2
3b1D)*)*F97$$\"3/]+3VNj.:Fao$\"39MOj*Qf\\&**F97$$\"3q!yqn[8v`\"Fao$\"3
]lJM:m#*))**F97$$\"396:YIMRr:Fao$\"2y`sYV'******Fao7$$\"3\"Q:c%)[7ag\"
Fao$\"3;VG**)*>-))**F97$$\"3Z'z]kaJ%R;Fao$\"3Q\\ap\"*f'H&**F97$$\"39Ra
W/1Xt;Fao$\"3-=)Q4j!*\\*)*F97$$\"3!=3SCmpuq\"Fao$\"3_q7*=>kV\")*F97$$
\"33u?N%*p.t<Fao$\"3-$oKh=Llf*F97$$\"3LmSEEVgQ=Fao$\"3%fk&pA?x*H*F97$$
\"3S`:%R;(od>Fao$\"3)zCm&G\\Ow&)F97$$\"3#=uye<)G*4#Fao$\"3K!=rqq0vX(F9
7$$\"3Ua[#o!GC>AFao$\"3'GP&*>tcCN'F97$$\"3-YwJf&y(eBFao$\"3]%[zPUfT(\\
F97$$\"3oNrpV8H#[#Fao$\"3w,1))QcN_PF97$$\"3EzY)QW/yh#Fao$\"3C0c(osS;]#
F97$$\"35v)>8'\\%ou#Fao$\"3s0*fOf\")*y9F97$$\"3w$GCS?&[\")GFao$\"3$fJ,
N(4Q9mF-7$$\"3*Q3$\\!41L%HFao$\"3/S:]lk\\!)QF-7$$\"3Z%)='p(p70IFao$\"3
)[2qoOc2&=F-7$$\"3D>g%e1o%QIFao$\"3/av:?Nqf5F-7$$\"3g`,ta\"4=2$Fao$\"3
93bJlq$='[F07$$\"3$zG9OC]^5$Fao$\"3>OH)RWhuK\"F07$$\"3sA%)\\K8\\QJFao$
\"3z0oFv;;='*!#B7$$\"3#er1NNBJ<$Fao$!3$Gr(eHhbQ**!#@7$$\"3#*3]^u`v2KFa
o$!3kCbq[=7rVF07$$\"3--L_&R(QUKFao$!3nIZ`)3AD,\"F-7$$\"3c&fJlT>qF$Fao$
!3s=STUe&G#=F-7$$\"3e!=@(oRJPLFao$!3aE$yeo=?y$F-7$$\"39l2\"4_3wR$Fao$!
3!)*)[!3)pX7kF-7$$\"3MOnGd![y_$Fao$!3\"\\gE[E(>>9F97$$\"3#*=4JU#)RiOFa
o$!3?B&[sU\\eZ#F97$$\"3%G,f%[$HSz$Fao$!3a@*o%>1+'o$F97$$\"3KoE+7#*Q@RF
ao$!3(==F>7&)R%\\F97$$\"3y(f0ii+G1%Fao$!3%oH%RO,YTjF97$$\"3;fORr]')*=%
Fao$!3'>6<S$GI4vF97$$\"3R&p%*z[LbK%Fao$!3_*G^Z#>hw&)F97$$\"3M'pExBp%[W
Fao$!3B.cySj[>$*F97$$\"3,z&[2')pc^%Fao$!3UXe)R3#)zh*F97$$\"3oh/x$[qGe%
Fao$!3na6^,b=L)*F97$$\"3>](o$ed[9YFao$!3?S%QMWbW!**F97$$\"3qQq'H.,hk%F
ao$!3!ynBFSBh&**F97$$\"33G`c2jrxYFao$!3!HV$RuG)z)**F97$$\"3e;O;#eJ$4ZF
ao$!3!)RCXBl!*****F97$$\"3lHhk`'yBu%Fao$!3#[qP4*)35***F97$$\"3sU'G^sDa
x%Fao$!3#f)es#H;.'**F97$$\"3zb6h'zs%3[Fao$!3;3uleF'z!**F97$$\"3&)oO4o)
>:%[Fao$!3r<s`3p<M)*F97$$\"3;@9vt*Qh!\\Fao$!3$Q;%*GA$GH'*F97$$\"3Ou\"4
%z!e2(\\Fao$!3%\\;qWUwrM*F97$$\"3*zX#[4&eg5&Fao$!3*Q>q::l'G&)F97$$\"3n
*e![/*ojB&Fao$!37mM8J%)p'\\(F97$$\"3#ob8X5I'p`Fao$!3g6wB!)QeniF97$$\"3
PA\"GX$yy,bFao$!3WNlU>N**f\\F97$$\"39L1/jqABcFao$!39IXt]#=(ePF97$$\"3m
weKB,TidFao$!3[S)39(pevCF97$$\"3'oIe;6(*o)eFao$!3opVfIe$**[\"F97$$\"3n
Kcu0ii>gFao$!35bZM$[$)py'F-7$$\"3G:=>Xb9$3'Fao$!3Gw<@]))\\[RF-7$$\"3w)
*zj%)[mYhFao$!3-GwOhBB_=F-7$$\"31*\\Lr)\\z!='Fao$!3RQ7:G#>Z/\"F-7$$\"3
P***G'*3D\\@'Fao$!3_hY3Z\\A_YF07$$\"3o*\\C@>b!\\iFao$!3IC\">1_7W;\"F07
$$\"3)****>YH&=$G'Fao$!3[z@sJ@Vx:!#L-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%
+AXESLABELSG6$Q\"x6\"Q!Ffel-%%VIEWG6$;F($\"+3`=$G'!\"*%(DEFAULTG" 1 2 
0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "per:=x->x-2*Pi*floor(x/(2*Pi
));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$perGf*6#%\"xG6\"6$%)operator
G%&arrowGF(,&9$\"\"\"*(\"\"#F.%#PiGF.-%&floorG6#,$*&#F.F0F.*&F-F.F1!\"
\"F.F.F.F9F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(pe
r(x),x=-2*Pi..2*Pi);" }}{PARA 13 "" 1 "" {GLPLOT2D 291 291 291 
{PLOTDATA 2 "6%-%'CURVESG6$7hn7$$!3)****>YH&=$G'!#<$\"3)fq*)fiefD\"!#D
7$$!3dp3dxTF4gF*$\"3jmr3'H6\"RF!#=7$$!3W07Azb%4x&F*$\"3(z!QezsRA^F37$$
!3[DqOW,#H]&F*$\"3`2c7G;l-yF37$$!3()o*[H1=JB&F*$\"3Q<1BWs1]5F*7$$!3gAx
s.$)fk\\F*$\"3kj=X.qe=8F*7$$!3/sy+9hk:ZF*$\"3?9<<$>Rvc\"F*7$$!3ellUT0(
yX%F*$\"3l?IvlZJD=F*7$$!3!>@6bny7>%F*$\"3Ku$o;j1>4#F*7$$!3/t34t<aDRF*$
\"3=8()3MNkdBF*7$$!3wfUt0()>_OF*$\"3[E`W,m)4j#F*7$$!35AGA$)zV6MF*$\"37
kn&RKZ<(GF*7$$!3pxppL%)RSJF*$\"3b3E[toyUJF*7$$!3OO)R(pfCoGF*$\"3()\\(R
uLR\\T$F*7$$!3In=4Um(fg#F*$\"3#*=x3l'3sn$F*7$$!3=$*otm4\"yO#F*$\"31$pU
/Mu`\"RF*7$$!3I;D'G%*3Y3#F*$\"3#*pqJkjd)>%F*7$$!38\"Hq4o*pW=F*$\"35&H4
ii&[QWF*7$$!3%zq%)f<Gcc\"F*$\"3Hy[>Jrb<ZF*7$$!3kGdA2Eg=8F*$\"3gdQ&**p#
ek\\F*7$$!3YT1&oSwv/\"F*$\"3xW*G.!*3cB&F*7$$!3q(\\-)>P&\\*yF3$\"3YO$*>
N**o$\\&F*7$$!3WCVrl)[@?&F3$\"3!Q:31UqHw&F*7$$!3S5B'pS8$HFF3$\"3>bL[mR
D5gF*7$$!3#z#pf^)pcR\"F3$\"3W$*)>?K=O9'F*7$$!3.VX:B'HE?'!#?$\"3qJkbxE)
pF'F*7$$\"31g(=*GcPbCFdsFhs7$$\"3J1#*4)3Q86\"!#>F[t7$$\"3iOlI8'Qr(>F]t
F_t7$$\"3$p'Q^Q\"RH%GF]tFbt7$$\"3cF&G*)=SXd%F]tFet7$$\"3;)=V$R791jF]tF
ht7$$\"3S4D<SLMp(*F]tF[u7$$\"31$=+TaaKK\"F3F^u7$$\"3JZgEk\\*e,#F3Fau7$
$\"3b6>V%QN&3FF3Fdu7$$\"3U2OAGkU9RF3Fgu7$$\"3H.`,suJ?^F3Fju7$$\"30FZ`*
>3^s(F3F]v7$$\"3)y$=+!>6;/\"F*F`v7$$\"3tD!)H-M([I\"F*Fcv7$$\"3oO`QHJff
:F*Ffv7$$\"3g&>\"zdfTU=F*Fiv7$$\"3M=t;[[a'4#F*F\\w7$$\"3!3Rp8o\")yO#F*
F_w7$$\"3q#RL3=`Ph#F*Fbw7$$\"3SB4#HnbD)GF*Few7$$\"3>LsqpyZNJF*Fhw7$$\"
3sPtcTW&)*R$F*F[x7$$\"3u[$)>k3LeOF*F^x7$$\"3+;\\MC<$*GRF*Fax7$$\"3Oz6M
9Db*=%F*Fdx7$$\"3o8rS9\\2cWF*Fgx7$$\"3wWiVu.R?ZF*Fjx7$$\"3Im7YJ)oK'\\F
*F]y7$$\"3M`<._\\jT_F*F`y7$$\"3w8mpG*31\\&F*Fcy7$$\"3Ql7(o6ngv&F*Ffy7$
$\"3b(*fluW95gF*Fiy7$$\"3)****>YH&=$G'F*F\\z-%'COLOURG6&%$RGBG$\"#5!\"
\"$\"\"!FfzFez-%+AXESLABELSG6$Q\"x6\"Q!F[[l-%%VIEWG6$;$!+3`=$G'!\"*$\"
+3`=$G'Fc[l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 
45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "
H:=x->G(per(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HGf*6#%\"xG6\"
6$%)operatorG%&arrowGF(-%\"GG6#-%$perG6#9$F(F(F(" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 25 "plot(H(x),x=-2*Pi..2*Pi);" }}{PARA 13 "" 1 "
" {GLPLOT2D 291 291 291 {PLOTDATA 2 "6%-%'CURVESG6$7ct7$$!3)****>YH&=$
G'!#<$\"39]z>q?Vx:!#L7$$!3dp3dxTF4gF*$\"3[p:$e:hpJ(!#>7$$!3]PgRy)4,*eF
*$\"3-l#*4r#GrY\"!#=7$$!3W07Azb%4x&F*$\"307#3bL\"G-CF97$$!3,:TzhG$pj&F
*$\"3\\mg_$*QVEOF97$$!3[DqOW,#H]&F*$\"3u*fkd*3n[\\F97$$!3;(*zl.\">!o`F
*$\"3q5WA%)4;$G'F97$$!3()o*[H1=JB&F*$\"3Z%pm'e4\"[_(F97$$!3GX$QL=e))4&
F*$\"3+qJyE-Jz&)F97$$!3gAxs.$)fk\\F*$\"3KW])y%zFx$*F97$$!3tfxHc-O-\\F*
$\"3H2%QPrHMk*F97$$!3(ozn)3A7S[F*$\"3qA%eRkFx$)*F97$$!3W:G:&=.!4[F*$\"
3x&4aR-Zp!**F97$$!3-MyVhT)yx%F*$\"3;fUh8^;d**F97$$!3[`GsP^wYZF*$\"3#*G
'3AX(=))**F97$$!3/sy+9hk:ZF*$\"3us2=6R*)****F97$$!3G4_VnTU$o%F*$\"3;ot
-UFh\"***F97$$!3kXD'3A-7l%F*$\"3[o?*=]3E'**F97$$!3,#))*Gu-)*=YF*$\"3)=
!z9/;+8**F97$$!3O=srF$ene%F*$\"3XzMr&*z*H%)*F97$$!3(>*=dMWJAXF*$\"3<+#
)f?m/V'*F97$$!3ellUT0(yX%F*$\"3]#>)R&QrgO*F97$$!3v)))o%3YdCVF*$\"3!=?L
Nv/*p&)F97$$!3!>@6bny7>%F*$\"3UC`IP(>:_(F97$$!3/U5IC-TeSF*$\"3i6RirX6*
H'F97$$!3/t34t<aDRF*$\"3?)H?8e4b)\\F97$$!3SmDTR-())y$F*$\"3Qg`dnPHOOF9
7$$!3wfUt0()>_OF*$\"3ALht$QO$)Q#F97$$!3:T&yWM==`$F*$\"3-'))p&4*>qW\"F9
7$$!35AGA$)zV6MF*$\"3ZK_dBeh1rF37$$!3Ah8%e4yOM$F*$\"3jH&*3'eh&GSF37$$!
3!***)f%3#=fF$F*$\"3!fEb\\X4Nz\"F37$$!3Bp\"pZEQ?C$F*$\"37N0O&\\Vb+\"F3
7$$!3dQ%y5Ke\"3KF*$\"3:?Oo,uWCW!#?7$$!3!zq(Qx$yU<$F*$\"3w:j[Kh(z1\"F_v
7$$!3pxppL%)RSJF*$!3!pQ<WZghU\"!#B7$$!3-NBqv$zj5$F*$!3_5')o6DYR7F_v7$$
!3O#p2xJgB2$F*$!3#o4WgBjay%F_v7$$!3p\\Irf7MQIF*$!3'[.xq&>Ii5F37$$!3.2%
=<?AV+$F*$!3ag*H4)=^s=F37$$!3p@\"Hd3%GOHF*$!3%\\LKMRni:%F37$$!3OO)R(pf
CoGF*$!3G!))pUO!f(G(F37$$!3%=&e\"fI6rt#F*$!33h**QeJv[:F97$$!3In=4Um(fg
#F*$!32#[%QJVy/EF97$$!3C!Q9W!Q*o[#F*$!3$Gj7uRSyq$F97$$!3=$*otm4\"yO#F*
$!3=+0l%oXQ)[F97$$!3'\\q*za*4iA#F*$!3A$HI/J`_G'F97$$!3I;D'G%*3Y3#F*$!3
k$Q/uQmUe(F97$$!3s.k\">JaY'>F*$!3VQitJ(Ht_)F97$$!38\"Hq4o*pW=F*$!3%4^W
1QW$o#*F97$$!3M&*Qs/=$\\x\"F*$!37:(QMKV!*e*F97$$!3a*\\x%GR;0<F*$!3$yp6
@VP0#)*F97$$!3_,VN!**z-n\"F*$!3?n_GygN,**F97$$!3u.6B_gRN;F*$!31X(RBxE$
e**F97$$!3&f!z59@^+;F*$!3oSfm=B<\"***F97$$!3%zq%)f<Gcc\"F*$!3!Q1]X!Ht*
***F97$$!3kN)*))z*\\Z`\"F*$!3WT.QNA,()**F97$$!36j\\z$yrQ]\"F*$!3gS4%Q)
yFb**F97$$!3g!4+xe$*HZ\"F*$!3Gr,fT3l/**F97$$!3H=_g\"R:@W\"F*$!3U:[JJTK
N)*F97$$!3YtaT***e.Q\"F*$!3(z6,_E*pT'*F97$$!3kGdA2Eg=8F*$!3#4#*p&eLNx$
*F97$$!3/&=Qq]*3$=\"F*$!3#)Hok8xlq&)F97$$!3YT1&oSwv/\"F*$!3zXdBo-G.vF9
7$$!3;cW:%*)e`=*F9$!3F.W))>**p:jF97$$!3q(\\-)>P&\\*yF9$!3ofSHF;(4/&F97
$$!336%eFH^&[lF9$!3OmkLs,N4PF97$$!3WCVrl)[@?&F9$!33V$3%Q@vqCF97$$!3U<$
Qj8Jd'RF9$!3O7/V&[l>\\\"F97$$!3S5B'pS8$HFF9$!3iD>E]G,msF37$$!3.VX:B'HE
?'F_v$!3w(f)Q'37s%Q!#A7$$\"3$p'Q^Q\"RH%GF3$\"3yz;!fsD,3)!#@7$$\"3;)=V$
R791jF3$\"3y7;xNIZrRF_v7$$\"3S4D<SLMp(*F3$\"3!)Qci^Go8&*F_v7$$\"31$=+T
aaKK\"F9$\"3sl(>bQ13u\"F37$$\"3JZgEk\\*e,#F9$\"3**okr2334SF37$$\"3b6>V
%QN&3FF9$\"3?!pQ.)=^erF37$$\"3U2OAGkU9RF9$\"3]Mid,Hfb9F97$$\"3H.`,suJ?
^F9$\"3=Dn[\"[/0S#F97$$\"3<:]xNGrAkF9$\"3s*)puCz>)e$F97$$\"30FZ`*>3^s(
F9$\"35TSEM39r[F97$$\"3%Hbw(\\+hq!*F9$\"3%eb?:MeY?'F97$$\"3)y$=+!>6;/
\"F*$\"3!pQ&*Qml9X(F97$$\"3!=$*\\hHUK<\"F*$\"3GYDl/\"Q5])F97$$\"3tD!)H
-M([I\"F*$\"3F$Ry[Ji$4$*F97$$\"3Y`)pSL`&o8F*$\"3WJ3dNS_'f*F97$$\"3?\"o
TeELAV\"F*$\"3Z2,^/%G#4)*F97$$\"33&fF<BtSY\"F*$\"3I@i@!eLl))*F97$$\"3%
*3Nh(>8f\\\"F*$\"3`9K>/*HS%**F97$$\"3\"GU*\\jJvF:F*$\"3i0&Q**H%[\")**F
97$$\"3oO`QHJff:F*$\"355x=O\\u)***F97$$\"3/pg$H)f%\\f\"F*$\"3G\"=eZ2pT
***F97$$\"3T,o[O))HI;F*$\"3%\\XK'yijk**F97$$\"3wLv.!p^cm\"F*$\"3w))4`H
TH5**F97$$\"39m#)eVX+,<F*$\"3Cab$o=99$)*F97$$\"3)3t*o]-rr<F*$\"32Z<\\
\"HQ<g*F97$$\"3g&>\"zdfTU=F*$\"3/MS1;Q>!G*F97$$\"3)pDzHS![p>F*$\"3;)=G
4LhH\\)F97$$\"3M=t;[[a'4#F*$\"3%GFRegf8[(F97$$\"3ea$oZE8AB#F*$\"3?!ox=
?YrA'F97$$\"3!3Rp8o\")yO#F*$\"3K(>H.tQJ)[F97$$\"3w\"R,6V<3\\#F*$\"3cqO
@\"=x*pOF97$$\"3q#RL3=`Ph#F*$\"3XL(39*\\\"o`#F97$$\"31er(oUa\"[FF*$\"3
a9M&)*\\'pp9F97$$\"3SB4#HnbD)GF*$\"3?W*o*45FhlF37$$\"3'3]<@A'yXHF*$\"3
+jU$Rtm_y$F37$$\"3IySJrn,4IF*$\"3_xuwQHOZ<F37$$\"3!oO7f/K1/$F*$\"3,\"H
L>'e%e,\"F37$$\"3ub1^?tCsIF*$\"3\"=S%*R0s5![F_v7$$\"3pW*3^fiQ5$F*$\"3$
4:Ig$>)GU\"F_v7$$\"3>LsqpyZNJF*$\"3uR+U\"f6!RPFjal7$$\"3EY(*=T\\_oJF*$
!3a-V(pbF<D(F`bl7$$\"3LfAn7?d,KF*$!31OFDE:@$f$F_v7$$\"3SsZ:%3>YB$F*$!3
7Ss\"[9#)*G')F_v7$$\"3Y&GPc:mwE$F*$!3'3i8yT\\5e\"F37$$\"3g6Bg)HgPL$F*$
!3il2W4ngZOF37$$\"3sPtcTW&)*R$F*$!3mG-8)3NH_'F37$$\"3CVG)Gl#4HNF*$!3c+
PxC[*yU\"F97$$\"3u[$)>k3LeOF*$!3p\\'4<'H#3W#F97$$\"3OK;F%HJOz$F*$!35#=
(**3/;#o$F97$$\"3+;\\MC<$*GRF*$!3CcD$[-4%>]F97$$\"3oZIM>@CfSF*$!3Ap.a;
g92jF97$$\"3Oz6M9Db*=%F*$!3r:OE')))f1vF97$$\"3_YTP9P\"GK%F*$!3#oxbRZ`v
b)F97$$\"3o8rS9\\2cWF*$!3)\\hDU]#Hd$*F97$$\"3X'R9%zP:AXF*$!3+f!RcD]Ck*
F97$$\"3Az;UWEB)e%F*$!33AkPpCkY)*F97$$\"3h?`#p2s7i%F*$!3LD?#\\g1s\"**F
97$$\"3+i*G%4:JaYF*$!3]r,A!)zIm**F97$$\"3O.E$>%4N(o%F*$!3uQ8AwAt$***F9
7$$\"3wWiVu.R?ZF*$!3k_]f!zf$****F97$$\"3YsVc\"=]2v%F*$!3YlQ`*R\"H&)**F
97$$\"39+Dp))*46y%F*$!3wt,#e_[G&**F97$$\"3%yi?ezp9\"[F*$!3))RqTX2:-**F
97$$\"3`b([HgH=%[F*$!3)y+3r\"\\QL)*F97$$\"3\"4,0s@\\D!\\F*$!3L(=%G)eGF
k*F97$$\"3Im7YJ)oK'\\F*$!3Ia%ory(o$Q*F97$$\"3#)4lu\"*=X-^F*$!37>dE>_7a
&)F97$$\"3M`<._\\jT_F*$!3?k,'\\VN4X(F97$$\"3a$=k.%>7m`F*$!3jMG2gz[,jF9
7$$\"3w8mpG*31\\&F*$!39$)*y]oz<2&F97$$\"3dRRyA!QLi&F*$!3U[6_?MkdPF97$$
\"3Ql7(o6ngv&F*$!3*ye;\\qS0`#F97$$\"3YJOw&z0J)eF*$!39NLHxo.<:F97$$\"3b
(*fluW95gF*$!3!)yvP/#)prsF37$$\"3;)*pkzYSygF*$!3%3xY=))=_8%F37$$\"3w)*
zj%)[mYhF*$!3-GwOhBB_=F37$$\"31*\\Lr)\\z!='F*$!3RQ7:G#>Z/\"F37$$\"3P**
*G'*3D\\@'F*$!3_hY3Z\\A_YF_v7$$\"3o*\\C@>b!\\iF*$!3IC\">1_7W;\"F_v7$$
\"3)****>YH&=$G'F*$!3[z@sJ@Vx:F--%'COLOURG6&%$RGBG$\"#5!\"\"$\"\"!Fd[n
Fc[n-%+AXESLABELSG6$Q\"x6\"Q!Fi[n-%%VIEWG6$;$!+3`=$G'!\"*$\"+3`=$G'Fa
\\n%(DEFAULTG" 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 25 "W:=(H(x-c*t)
+H(x+c*t))/2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "c:=1;anima
te(W,x=0..Pi,t=0..4*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"
\"" }}{PARA 13 "" 1 "" {GLPLOT2D 291 291 291 {PLOTDATA 2 "6%-%(ANIMATE
G627#-%'CURVESG6$7S7$$\"\"!F-F,7$$\"+'p%)\\a'!#6$\"3Q'y%48$pvF%!#?7$$
\"+Rp**38!#5$\"3J#eYbo3Pq\"!#>7$$\"+4a\\j>F8$\"39ccVuL-1QF;7$$\"+zQ*zh
#F8$\"3!\\0y2\")H()p'F;7$$\"+[B\\sKF8$\"34AQa)HLK.\"!#=7$$\"+<3*p#RF8$
\"3Ofs1%4mWY\"FK7$$\"+(G*[\"e%F8$\"37$Rc\\&G>c>FK7$$\"+cx)fB&F8$\"3c&*
***********\\#FK7$$\"+Fi[!*eF8$\"3#eau\"QGe'3$FK7$$F0F8$\"3k*Q([uZ!fq$
FK7$$\"+kJ[*>(F8$\"3OM(**)Q!ptM%FK7$$\"+N;)R&yF8$\"37\"*************\\
FK7$$\"+/,[3&)F8$\"3)*[-5h4j_cFK7$$\"+v&yH;*F8$\"3q$f7bA&4%H'FK7$$\"+W
qZ<)*F8$\"3>Ra#=;<M\"pFK7$$\"+^v>Z5!\"*$\"37\"************\\(FK7$$\"+)
RZE6\"Fjp$\"3S%fV]92Q/)FK7$$\"+Xs4y6Fjp$\"3aHF$f!R`N&)FK7$$\"+#4ZNC\"F
jp$\"31ohX,nwm*)FK7$$F7Fjp$\"3V(=A*=q7I$*FK7$$\"+'yYWP\"Fjp$\"3DHkbiwR
>'*FK7$$\"+Lm*)R9Fjp$\"3zQ`WJ\"H'H)*FK7$$\"+![Y`]\"Fjp$\"39\\!poICs&**
FK7$$\"+Fjzq:Fjp$\"\"\"F-7$$\"+uhCO;Fjp$\"3e`!poICs&**FK7$$\"+@gp,<Fjp
$\"3nZ`WJ\"H'H)*FK7$$\"+oe9n<Fjp$\"3NSkbiwR>'*FK7$$\"+:dfK=Fjp$\"3(=?A
*=q7I$*FK7$$\"+ib/)*=Fjp$\"39*=c9qmn'*)FK7$$F>Fjp$\"3'RvKf!R`N&)FK7$$
\"+c_%*G?Fjp$\"3r<O/Xr!Q/)FK7$$\"+-^R%4#Fjp$\"3')=++++++vFK7$$\"+]\\%)
f@Fjp$\"3<pa#=;<M\"pFK7$$\"+'z%HDAFjp$\"3yCE^D_4%H'FK7$$\"+WYu!H#Fjp$
\"3=\"G+6'4j_cFK7$$\"+!\\%>cBFjp$\"3UC++++++]FK7$$\"+PVk@CFjp$\"3!\\w*
*)Q!ptM%FK7$$\"+&=%4([#Fjp$\"3i>u[uZ!fq$FK7$$\"+JSa_DFjp$\"39uX<QGe'3$
FK7$$FCFjp$\"3?A++++++DFK7$$\"+DPW$o#Fjp$\"35=k&\\&G>c>FK7$$\"+tN*)[FF
jp$\"37#GnS4mWY\"FK7$$\"+>MM9GFjp$\"3QTQa)HLK.\"FK7$$\"+nKzzGFjp$\"358
#y2\")H()p'F;7$$\"+7JCXHFjp$\"3=wdVuL-1QF;7$$\"+gHp5IFjp$\"3)[mYbo3Pq
\"F;7$$\"+1G9wIFjp$\"3=1_48$pvF%F47$$\"+aEfTJFjp$\"3<F9z3P*R/\"!#Y-%'C
OLOURG6&%$RGBG$\"*++++\"!\")F,F,7#-F(6$7S7$F,$!3O\"*GchvbvF!#L7$F/$\"3
%*[W4/yb!\\'F;7$F6$\"3;CQYOg+(G\"FK7$F=$\"3rC)3CENH!>FK7$FB$\"3'zn?%QZ
I'[#FK7$FG$\"3W`U-^G8FIFK7$FM$\"3!\\,n7)e;;NFK7$FR$\"3![%fTQj.XRFK7$FW
$\"3(\\'Q/IhS1VFK7$Ffn$\"3Y#RD)=@4%f%FK7$F[o$\"3iW3t<><.[FK7$F_o$\"3\\
\"3LM6o+$\\FK7$Fdo$\"3Ck8%oZ4E(\\FK7$Fio$\"3'oHb&)[\"yJ\\FK7$F^p$\"3yb
^v9-tk[FK7$Fcp$\"3+DW[WM***z%FK7$Fhp$\"3'y&3$=%)y'QZFK7$F^q$\"3%*yak;b
$=o%FK7$Fcq$\"3Ha@)R2O/j%FK7$Fhq$\"3)QZbD(*f`e%FK7$F]r$\"3m.$epZyta%FK
7$Far$\"3kp26h99<XFK7$Ffr$\"3[4tt)Gm^\\%FK7$F[s$\"39,*H6'*G=[%FK7$F`s$
\"3g9<m$odtZ%FK7$FesF]`l7$Fjs$\"3%*3tt)Gm^\\%FK7$F_t$\"3`o26h99<XFK7$F
dt$\"3M+$epZyta%FK7$Fit$\"37rabs*f`e%FK7$F^u$\"3i_@)R2O/j%FK7$Fbu$\"3[
uak;b$=o%FK7$Fgu$\"3>c3$=%)y'QZFK7$F\\v$\"3AAW[WM***z%FK7$Fav$\"3+`^v9
-tk[FK7$Ffv$\"3U#Hb&)[\"yJ\\FK7$F[wF\\^l7$F`w$\"3#[3LM6o+$\\FK7$Few$\"
3]`3t<><.[FK7$Fjw$\"37/a#)=@4%f%FK7$F_x$\"3t#)Q/IhS1VFK7$Fcx$\"3ojfTQj
.XRFK7$Fhx$\"3LRqE\")e;;NFK7$F]y$\"3(yFC5&G8FIFK7$Fby$\"3m22UQZI'[#FK7
$Fgy$\"38a)3CENH!>FK7$F\\z$\"3=dQYOg+(G\"FK7$Faz$\"3otZ4/yb!\\'F;7$Ffz
$\"3(R&HTrnk>K!#KF[[l7#-F(6$7SF+7$F/$!3K)yBg1'*oN\"F;7$F6$!3=P_:k_d!p#
F;7$F=$!3S.'[N(z@yRF;7$FB$!3/dTWqAz(>&F;7$FG$!3_V@\\+4VGjF;7$FM$!3kl,E
B$)y]tF;7$FR$!3+yOz><PZ#)F;7$FW$!3i\"4)f*HSG+*F;7$Ffn$!3Kmu\"eynUg*F;7
$F[o$!3%3aT(ej8/5FK7$F_o$!3OwSS()[mI5FK7$Fdo$!3CK))3a%e&R5FK7$Fio$!3kw
SS()[mI5FK7$F^p$!36T:uej8/5FK7$Fcp$!3?![<eynUg*F;7$Fhp$!3<(4)f*HSG+*F;
7$F^q$!3w0Pz><PZ#)F;7$Fcq$!3%*)>gKK)y]tF;7$Fhq$!3Gr@\\+4VGjF;7$F]r$!3e
(=W/F#z(>&F;7$Far$!3/X'[N(z@yRF;7$Ffr$!3cs_:k_d!p#F;7$F[s$!3^UuOz$H5^
\"F;7$F`s$!3S'z4L'*>E4\"F;7$Fes$!3b#Rn$z$H5^\"F;7$Fjs$!3'=@bTEv0p#F;7$
F_t$!3so&[N(z@yRF;7$Fdt$!39MTWqAz(>&F;7$Fit$!3s(4#\\+4VGjF;7$F^u$!3_a,
EB$)y]tF;7$Fbu$!3E]Oz><PZ#)F;7$Fgu$!3qf!)f*HSG+*F;7$F\\v$!3G[u\"eynUg*
F;7$Fav$!3cS:uej8/5FK7$Ffv$!39uSS()[mI5FK7$F[w$!3'>$))3a%e&R5FK7$F`w$!
3vxSS()[mI5FK7$Few$!3hV:uej8/5FK7$Fjw$!3(=Z<eynUg*F;7$F_x$!3$Q6)f*HSG+
*F;7$Fcx$!3UAPz><PZ#)F;7$Fhx$!39@-EB$)y]tF;7$F]y$!3$o<#\\+4VGjF;7$Fby$
!3Y,UWqAz(>&F;7$Fgy$!3Yk'[N(z@yRF;7$F\\z$!3!\\JbTEv0p#F;7$Faz$!3%\\&Q-
mg*oN\"F;7$Ffz$!3CR4vZ\"Q8m'Fi[lF[[l7#-F(6$7S7$F,$\"3oX9y!yyxQ\"Fi[l7$
F/$!3F\\O!HG*)o?'F;7$F6$!3H,-$ppd2B\"FK7$F=$!3.i]9gyw>=FK7$FB$!3Ysyt!H
TwP#FK7$FG$!3Cb%R'>E$[*GFK7$FM$!3!3x>)fD\\iLFK7$FR$!3c4D/?$>Ex$FK7$FW$
!3]T;t<b>=TFK7$Ffn$!3e!)GL[#3LR%FK7$F[o$!3<4r(He-,g%FK7$F_o$!3[aZ'>%fK
)z%FK7$Fdo$!35'*************\\FK7$Fio$!3IQ_.eSn,_FK7$F^p$!3;%)G-<u*)*R
&FK7$Fcp$!37eFL?%y7f&FK7$Fhp$!3%3RPf[UDx&FK7$F^q$!3.#R=a8)eSfFK7$Fcq$!
3!f3A61SD4'FK7$Fhq$!3V]1ZB$)zDiFK7$F]r$!3IH\"\\m$G3QjFK7$Far$!31#*e]\"
QsuU'FK7$Ffr$!3_u\\9yuV#\\'FK7$F[s$!3rb6vbl'=`'FK7$F`s$!3M)yu=(\\3XlFK
7$Fes$!3$z:^dbm=`'FK7$Fjs$!3'*y\\9yuV#\\'FK7$F_t$!3S&*e]\"QsuU'FK7$Fdt
$!3&[8\\m$G3QjFK7$Fit$!3([lqMK)zDiFK7$F^u$!3m$4A61SD4'FK7$Fbu$!3#4S=a8
)eSfFK7$Fgu$!3#3SPf[UDx&FK7$F\\v$!37oFL?%y7f&FK7$Fav$!3;%*G-<u*)*R&FK7
$Ffv$!3H[_.eSn,_FK7$F[w$!3))3++++++]FK7$F`w$!3qmZ'>%fK)z%FK7$Few$!3;>r
(He-,g%FK7$Fjw$!37\"*GL[#3LR%FK7$F_x$!3Ef;t<b>=TFK7$Fcx$!3kID/?$>Ex$FK
7$Fhx$!3!>z>)fD\\iLFK7$F]y$!3cy%R'>E$[*GFK7$Fby$!3U-zt!HTwP#FK7$Fgy$!3
Y\"4X,'yw>=FK7$F\\z$!3-I-$ppd2B\"FK7$Faz$!3YoR!HG*)o?'F;7$Ffz$!3)GeGqM
-uC$FfdlF[[l7#-F(6$7S7$F,$\"3X)pRv.\"G5X!#M7$F/$!3m,E&GE*[aEF;7$F6$!3=
OVXy%fNE&F;7$F=$!3'zKX?toDy(F;7$FB$!33e\"[38KU/\"FK7$FG$!3a3oN)HyhP\"F
K7$FM$!3YiP*)f!H,x\"FK7$FR$!3(oL0(3QM>AFK7$FW$!3*p]$*eNOhr#FK7$Ffn$!3Q
o*QKW1?D$FK7$F[o$!3i$)f(\\=&y<QFK7$F_o$!3HJ*p*\\>z.WFK7$Fdo$!3c!******
*******\\FK7$Fio$!3s`+.]!3if&FK7$F^p$!3g)*R-:[@#='FK7$Fcp$!3)\\,hnb$*z
u'FK7$Fhp$!3Owk5WO'QG(FK7$F^q$!3Y^YH\">c1y(FK7$Fcq$!36Bi5S4()H#)FK7$Fh
q$!3u\"=V;q@Qi)FK7$F]r$!3wK=:pywb*)FK7$Far$!3XXKn^(H+A*FK7$Ffr$!3PQ-8b
d37%*FK7$F[s$!3*>ob![(\\'G&*FK7$F`s$!3!Q(H@)GFxc*FK7$Fes$!3K&ob![(\\'G
&*FK7$Fjs$!3EZ-8bd37%*FK7$F_t$!3ccKn^(H+A*FK7$Fdt$!3_]=:pywb*)FK7$Fit$
!3]*>V;q@Qi)FK7$F^u$!3v\\i5S4()H#)FK7$Fbu$!3mtYH\">c1y(FK7$Fgu$!3y+l5W
O'QG(FK7$F\\v$!3uU5wcN*zu'FK7$Fav$!3-LS-:[@#='FK7$Ffv$!3g#3I+03if&FK7$
F[w$!3w<++++++]FK7$F`w$!3rg*p*\\>z.WFK7$Few$!3/=g(\\=&y<QFK7$Fjw$!3!y*
*QKW1?D$FK7$F_x$!3JIN*eNOhr#FK7$Fcx$!3eh`q3QM>AFK7$Fhx$!3+)y$*)f!H,x\"
FK7$F]y$!3UFoN)HyhP\"FK7$Fby$!3or\"[38KU/\"FK7$Fgy$!3-da/K(oDy(F;7$F\\
z$!3O&[a%y%fNE&F;7$Faz$!3EOF&GE*[aEF;7$Ffz$!3X&yS-gyz8\"FfdlF[[l7#-F(6
$7S7$F,$\"3#[tPp`M`m\"Fi[l7$F/$!3iJ24;*\\>l&F;7$F6$!3$H05-M>27\"FK7$F=
$!3cRz<qy1d;FK7$FB$!3Ip5Y4N1l@FK7$FG$!399$G=J9gj#FK7$FM$!3#o$*y%y@'=1$
FK7$FR$!3I5sMM2KNMFK7$FW$!39c**********\\PFK7$Ffn$!3C\"Gcfs:0+%FK7$F[o
$!3)>**)o=:e#=%FK7$F_o$!3Mbi+#=#3$H%FK7$Fdo$!3!e9A*=q7IVFK7$Fio$!3cdi+
#=#3$H%FK7$F^p$!3'p**)o=:e#=%FK7$Fcp$!3C'Gcfs:0+%FK7$Fhp$!3/l*********
*\\PFK7$F^q$!3%G:yuU'4yMFK7$Fcq$!3;zN.ZIBKKFK7$Fhq$!3.^=F\\mh;IFK7$F]r
$!3*o$)Q0\\O\\$GFK7$Far$!3))4<so6I!p#FK7$Ffr$!3M_sFMa=&e#FK7$F[s$!3$QR
ll%yQ@DFK7$F`s$!37=***********\\#FK7$Fes$!3h\"Rll%yQ@DFK7$Fjs$!3MZsFMa
=&e#FK7$F_t$!3K/<so6I!p#FK7$Fdt$!3!p#)Q0\\O\\$GFK7$Fit$!3.T=F\\mh;IFK7
$F^u$!3tkN.ZIBKKFK7$Fbu$!33S\"yuU'4yMFK7$Fgu$!3#y%**********\\PFK7$F\\
v$!3!oFcfs:0+%FK7$Fav$!3I!**)o=:e#=%FK7$Ffv$!3Cai+#=#3$H%FK7$F[w$!3DX@
#*=q7IVFK7$F`w$!3Mgi+#=#3$H%FK7$Few$!33)**)o=:e#=%FK7$Fjw$!3z\"Hcfs:0+
%FK7$F_x$!3qr**********\\PFK7$Fcx$!3%eAZVt?`V$FK7$Fhx$!3O_*y%y@'=1$FK7
$F]y$!3MO$G=J9gj#FK7$Fby$!3;)4h%4N1l@FK7$Fgy$!3akz<qy1d;FK7$F\\z$!3!o2
5-M>27\"FK7$Faz$!3U\")44;*\\>l&F;7$Ffz$!39'p\"=?c8kJFfdlF[[l7#-F(6$7SF
+7$F/$\"3(p2U7aog$QF;7$F6$\"3&3L%=')3]1wF;7$F=$\"3#\\N/#*QyY7\"FK7$FB$
\"3qE7tIJYp9FK7$FG$\"3wT\"z1&\\5*y\"FK7$FM$\"3AHt)))oM\"y?FK7$FR$\"31s
3SmpgJBFK7$FW$\"33:dF-[=XDFK7$Ffn$\"3wz]_?Q@:FFK7$F[o$\"3>md]xZyQGFK7$
F_o$\"3\"*)\\$))RLy8HFK7$Fdo$\"3ReCYhi#*QHFK7$FioFd\\o7$F^p$\"32qd]xZy
QGFK7$Fcp$\"3)>3D0#Q@:FFK7$Fhp$\"33?dF-[=XDFK7$F^q$\"31x3SmpgJBFK7$Fcq
$\"3?Rt)))oM\"y?FK7$Fhq$\"3U[\"z1&\\5*y\"FK7$F]r$\"3M\"))*)Ql`o\\\"FK7
$Far$\"3m-g@(yGGE\"FK7$Ffr$\"3SrC8czu#4\"FK7$F[s$\"3MkV93H@&*)*F;7$F`s
$\"3A5LD\"G]\"\\&*F;7$Fes$\"3=NV93H@&*)*F;7$Fjs$\"3]jC8czu#4\"FK7$F_t$
\"31%*f@(yGGE\"FK7$Fdt$\"33m)*)Ql`o\\\"FK7$Fit$\"3QN\"z1&\\5*y\"FK7$F^
u$\"3ACt)))oM\"y?FK7$Fbu$\"3Mn3SmpgJBFK7$Fgu$\"3'GrvA![=XDFK7$F\\v$\"3
Vw]_?Q@:FFK7$Fav$\"3'Gw0vx%yQGFK7$Ffv$\"3!y\\$))RLy8HFK7$F[w$\"3hgCYhi
#*QHFK7$F`w$\"38,N))RLy8HFK7$Few$\"3=rd]xZyQGFK7$Fjw$\"3`(3D0#Q@:FFK7$
F_x$\"33DdF-[=XDFK7$Fcx$\"3$[)3SmpgJBFK7$Fhx$\"3_Zt)))oM\"y?FK7$F]y$\"
3wc\"z1&\\5*y\"FK7$Fby$\"3oT7tIJYp9FK7$Fgy$\"3erV?*QyY7\"FK7$F\\z$\"3M
ZX=')3]1wF;7$Faz$\"3^VACT&og$QF;7$Ffz$\"3k#**o\")oX3s\"FfdlF[[l7#-F(6$
7S7$F,$!3RGs!R!R*)QpFigm7$F/$\"3k_)zo@$**\\[F;7$F6$\"3'*zm90<+<'*F;7$F
=$\"3/!>!zig%>U\"FK7$FB$\"3gPMpj?'y&=FK7$FG$\"3)*=-fH&*)>E#FK7$FM$\"3.
FP\\FPTFEFK7$FR$\"3Q'[(RzaHjHFK7$FW$\"3,+G5%[trK$FK7$Ffn$\"3p]-H9Sn>PF
K7$F[o$\"3)ohmqF\"3MTFK7$F_o$\"3!QSq#\\YIjXFK7$Fdo$\"3+&*************
\\FK7$Fio$\"34!fH2N&pOaFK7$F^p$\"3#4PLHs=f'eFK7$Fcp$\"3kU(4d)fK!G'FK7$
Fhp$\"3+!>(*e^EGn'FK7$F^q$\"313Dg?XqOqFK7$Fcq$\"3YS\"zi%RtltFK7$Fhq$\"
3Ou&H#3]GawFK7$F]r$\"3IlBy<0U(*yFK7$Far$\"3yn\"f*e.)44)FK7$Ffr$\"3P@D@
pElJ#)FK7$F[s$\"3\\eAJ10.<$)FK7$F`s$\"3A#R%zJIlX$)FK7$Fes$\"3#=E7j]IqJ
)FK7$Fjs$\"3.GD@pElJ#)FK7$F_t$\"3mw\"f*e.)44)FK7$Fdt$\"3iyBy<0U(*yFK7$
Fit$\"3e'eH#3]GawFK7$F^u$\"3Ce\"zi%RtltFK7$Fbu$\"3]ADg?XqOqFK7$Fgu$\"3
w2s*e^EGn'FK7$F\\v$\"3If(4d)fK!G'FK7$Fav$\"3!4RLHs=f'eFK7$Ffv$\"3k0'H2
N&pOaFK7$F[w$\"3w<++++++]FK7$F`w$\"3oA/F\\YIjXFK7$Few$\"3vNm1x73MTFK7$
Fjw$\"3Xt-H9Sn>PFK7$F_x$\"3m@G5%[trK$FK7$Fcx$\"3%>](RzaHjHFK7$Fhx$\"3-
UP\\FPTFEFK7$F]y$\"3kI-fH&*)>E#FK7$Fby$\"3=hMpj?'y&=FK7$Fgy$\"3-5-zig%
>U\"FK7$F\\z$\"3X'*o90<+<'*F;7$Faz$\"3u,,)o@$**\\[F;7$Ffz$\"3/gyjcH^`D
FfdlF[[l7#-F(6$7S7$F,$!3t>,Zl9X9(*Figm7$F/$\"315,)o@$**\\[F;7$F6$\"36&
=Z^q,qh*F;7$F=$\"3Dl-zig%>U\"FK7$FB$\"3cNNpj?'y&=FK7$FG$\"3MQ.fH&*)>E#
FK7$FM$\"3\"e'Q\\FPTFEFK7$FR$\"3]=wRzaHjHFK7$FW$\"3\")3H5%[trK$FK7$Ffn
$\"3^M.H9Sn>PFK7$F[o$\"3&HnmqF\"3MTFK7$F_o$\"3mK/F\\YIjXFK7$Fdo$\"3M$*
************\\FK7$Fio$\"3Bh&H2N&pOaFK7$F^p$\"3G9L$Hs=f'eFK7$Fcp$\"3Ee'
4d)fK!G'FK7$Fhp$\"35!3(*e^EGn'FK7$F^q$\"3%[P-1_/n.(FK7$Fcq$\"39')*yi%R
tltFK7$Fhq$\"3G-%H#3]GawFK7$F]r$\"3Mu@y<0U(*yFK7$Far$\"3;q*e*e.)44)FK7
$Ffr$\"3U5B@pElJ#)FK7$F[s$\"3@W?J10.<$)FK7$F`s$\"3GrTzJIlX$)FK7$Fes$\"
3m[?J10.<$)FK7$Fjs$\"33<B@pElJ#)FK7$F_t$\"3gu*e*e.)44)FK7$Fdt$\"3A$=#y
<0U(*yFK7$Fit$\"3#yTH#3]GawFK7$F^u$\"3!G+zi%RtltFK7$Fbu$\"3Q!R-1_/n.(F
K7$Fgu$\"3u'4(*e^EGn'FK7$F\\v$\"3[!o4d)fK!G'FK7$Fav$\"3gPL$Hs=f'eFK7$F
fv$\"35!eH2N&pOaFK7$F[w$\"3?7++++++]FK7$F`w$\"3K\\/F\\YIjXFK7$Few$\"3
\"opmqF\"3MTFK7$Fjw$\"3F_.H9Sn>PFK7$F_x$\"3\"\\#H5%[trK$FK7$Fcx$\"3;Nw
RzaHjHFK7$Fhx$\"3e$)Q\\FPTFEFK7$F]y$\"3qa.fH&*)>E#FK7$Fby$\"3QcNpj?'y&
=FK7$Fgy$\"3Y#G!zig%>U\"FK7$F\\z$\"3OHu90<+<'*F;7$Faz$\"3q@.)o@$**\\[F
;7$Ffz$\"3aF\"eq$QKMAFfdlF[[l7#-F(6$7SF+7$F/$\"36m<CT&og$QF;7$F6$\"3n9
P=')3]1wF;7$F=$\"3WkU?*QyY7\"FK7$FB$\"3y16tIJYp9FK7$FG$\"3+)**y1&\\5*y
\"FK7$FM$\"3oir)))oM\"y?FK7$FR$\"3)Qo+k'pgJBFK7$FW$\"3e3bF-[=XDFK7$Ffn
$\"3Qf[_?Q@:FFK7$F[o$\"3:Mb]xZyQGFK7$F_o$\"3xlK))RLy8HFK7$Fdo$\"3\">Ai
9EE*QHFK7$Fio$\"35kK))RLy8HFK7$F^p$\"3\"e`0vx%yQGFK7$Fcp$\"3gm[_?Q@:FF
K7$Fhp$\"3C:bF-[=XDFK7$F^q$\"3:*o+k'pgJBFK7$Fcq$\"3%o;()))oM\"y?FK7$Fh
q$\"3a3!z1&\\5*y\"FK7$F]r$\"3IK(*)Ql`o\\\"FK7$Far$\"3kVe@(yGGE\"FK7$Ff
r$\"3S,B8czu#4\"FK7$F[s$\"37&oU\"3H@&*)*F;7$F`s$\"3g'e^7G]\"\\&*F;7$Fe
s$\"3%oiU\"3H@&*)*F;7$Fjs$\"3'eHKh&zu#4\"FK7$F_t$\"39Oe@(yGGE\"FK7$Fdt
$\"3I<(*)Ql`o\\\"FK7$Fit$\"31\"**y1&\\5*y\"FK7$F^u$\"3ubr)))oM\"y?FK7$
Fbu$\"30y1SmpgJBFK7$Fgu$\"3q/bF-[=XDFK7$F\\v$\"3gc[_?Q@:FFK7$Fav$\"3PO
b]xZyQGFK7$Ffv$\"3@lK))RLy8HFK7$F[w$\"3ZAAYhi#*QHFK7$F`wF\\]q7$Few$\"3
.Vb]xZyQGFK7$Fjw$\"3Ej[_?Q@:FFK7$F_x$\"3o>bF-[=XDFK7$Fcx$\"3l'p+k'pgJB
FK7$Fhx$\"3+wr)))oM\"y?FK7$F]y$\"3K;!z1&\\5*y\"FK7$Fby$\"3)y7J28j%p9FK
7$Fgy$\"34\"G/#*QyY7\"FK7$F\\z$\"3w')Q=')3]1wF;7$Faz$\"3*[!>CT&og$QF;7
$Ffz$\"338.D\\gW?AFfdlF[[l7#-F(6$7S7$F,$Fb_qFi[l7$F/$!3![\"44;*\\>l&F;
7$F6$!3y'45-M>27\"FK7$F=$!3'*))z<qy1d;FK7$FB$!3iS6Y4N1l@FK7$FG$!3S-%G=
J9gj#FK7$FM$!33S!z%y@'=1$FK7$FR$!3x?tMM2KNMFK7$FW$!3#)y+++++]PFK7$Ffn$
!3Z9k&fs:0+%FK7$F[o$!3UK\"*o=:e#=%FK7$F_o$!3y&R1?=#3$H%FK7$Fdo$!3\"zGA
*=q7IVFK7$Fio$!3o*R1?=#3$H%FK7$F^p$!3?N\"*o=:e#=%FK7$Fcp$!3D<k&fs:0+%F
K7$Fhp$!3E)3+++++v$FK7$F^q$!3s-$yuU'4yMFK7$Fcq$!3-aP.ZIBKKFK7$Fhq$!3wW
?F\\mh;IFK7$F]r$!31]!R0\\O\\$GFK7$Far$!3YP>so6I!p#FK7$Ffr$!3!Q\\xUV&=&
e#FK7$F[s$!3>MccYyQ@DFK7$F`s$!3Ik,+++++DFK7$Fes$!3'ejll%yQ@DFK7$Fjs$!3
O*[xUV&=&e#FK7$F_t$!3#p#>so6I!p#FK7$Fdt$!31S!R0\\O\\$GFK7$Fit$!3*p.s#
\\mh;IFK7$F^u$!3[VP.ZIBKKFK7$Fbu$!3S%HyuU'4yMFK7$Fgu$!3]q+++++]PFK7$F
\\v$!3O3k&fs:0+%FK7$Fav$!3KE\"*o=:e#=%FK7$Ffv$!3-$R1?=#3$H%FK7$F[w$!3N
(GA*=q7IVFK7$F`w$!3M,k+#=#3$H%FK7$Few$!3uN\"*o=:e#=%FK7$Fjw$!3NBk&fs:0
+%FK7$F_x$!3#\\4+++++v$FK7$Fcx$!3kRtMM2KNMFK7$Fhx$!3'R0z%y@'=1$FK7$F]y
$!30C%G=J9gj#FK7$Fby$!35o6Y4N1l@FK7$Fgy$!3[>!y,(y1d;FK7$F\\z$!3V8,@S$>
27\"FK7$Faz$!3uD64;*\\>l&F;F^jnF[[l7#-F(6$7SFfgm7$F/$!39\"H_GE*[aEF;7$
F6$!3I>PXy%fNE&F;7$F=$!3e\\V/K(oDy(F;7$FB$!3$41[38KU/\"FK7$FG$!3AAnN)H
yhP\"FK7$FM$!3=*o$*)f!H,x\"FK7$FR$!3El_q3QM>AFK7$FW$!3$4X$*eNOhr#FK7$F
fn$!3_H*QKW1?D$FK7$F[o$!3)>'f(\\=&y<QFK7$F_o$!3v5*p*\\>z.WFK7$Fdo$!3+!
*************\\FK7$Fio$!3Qq+.]!3if&FK7$F^p$!3OOS-:[@#='FK7$Fcp$!3s_5wc
N*zu'FK7$Fhp$!3)H`1TkjQG(FK7$F^q$!3=>ZH\">c1y(FK7$Fcq$!3r4j5S4()H#)FK7
$Fhq$!36mKk,<#Qi)FK7$F]r$!3MH>:pywb*)FK7$Far$!3q[Ln^(H+A*FK7$Ffr$!3H[.
8bd37%*FK7$F[s$!3z!zb![(\\'G&*FK7$F`s$!3/(38#)GFxc*FK7$Fes$!3M'zb![(\\
'G&*FK7$Fjs$!3&\\NI^v&37%*FK7$F_t$!3qeLn^(H+A*FK7$Fdt$!37Z>:pywb*)FK7$
Fit$!35'GV;q@Qi)FK7$F^u$!3ZFj5S4()H#)FK7$Fbu$!3=RZH\">c1y(FK7$Fgu$!31k
l5WO'QG(FK7$F\\v$!3/'3hnb$*zu'FK7$Fav$!37aS-:[@#='FK7$Ffv$!3O+,.]!3if&
FK7$F[w$!3kE++++++]FK7$F`w$!3FY*p*\\>z.WFK7$Few$!3S\")f(\\=&y<QFK7$Fjw
$!3g]*QKW1?D$FK7$F_x$!3,#[$*eNOhr#FK7$Fcx$!3-$H0(3QM>AFK7$Fhx$!3]-P*)f
!H,x\"FK7$F]y$!3wUnN)HyhP\"FK7$Fby$!3py![38KU/\"FK7$Fgy$!3!R\\W?toDy(F
;7$F\\z$!3=,QXy%fNE&F;7$Faz$!3'eQ_GE*[aEF;7$Ffz$!3s2?HO;L&\\\"FfdlF[[l
7#-F(6$7SF_^m7$F/$!3:*z.HG*)o?'F;7$F6$!38J-$ppd2B\"FK7$F=$!3^*3X,'yw>=
FK7$FB$!3)H\"zt!HTwP#FK7$FG$!3w0&R'>E$[*GFK7$FM$!3?N)>)fD\\iLFK7$FR$!3
]uD/?$>Ex$FK7$FW$!3m8<t<b>=TFK7$Ffn$!3icHL[#3LR%FK7$F[o$!3*o<xHe-,g%FK
7$F_o$!3C(yk>%fK)z%FK7$Fdo$!3m'*************\\FK7$Fio$!361_.eSn,_FK7$F
^p$!3)3#G-<u*)*R&FK7$Fcp$!3UgEL?%y7f&FK7$Fhp$!3Eks$f[UDx&FK7$F^q$!3rP#
=a8)eSfFK7$Fcq$!3E3>7h+a#4'FK7$Fhq$!3P[/ZB$)zDiFK7$F]r$!3[4*[m$G3QjFK7
$Far$!3\"yl0:QsuU'FK7$Ffr$!3EIZ9yuV#\\'FK7$F[s$!3![!4vbl'=`'FK7$F`s$!3
?NX(=(\\3XlFK7$Fes$!3\"f!4vbl'=`'FK7$Fjs$!3[KZ9yuV#\\'FK7$F_t$!3Dic]\"
QsuU'FK7$Fdt$!3.:*[m$G3QjFK7$Fit$!3#RXqMK)zDiFK7$F^u$!3q7>7h+a#4'FK7$F
bu$!3EV#=a8)eSfFK7$Fgu$!3Eus$f[UDx&FK7$F\\v$!3_rEL?%y7f&FK7$Fav$!3aFG-
<u*)*R&FK7$Ffv$!3@<_.eSn,_FK7$F[w$!3)*4++++++]FK7$F`w$!3M)zk>%fK)z%FK7
$Few$!36%=xHe-,g%FK7$Fjw$!3=nHL[#3LR%FK7$F_x$!3UJ<t<b>=TFK7$Fcx$!39'fU
+K>Ex$FK7$Fhx$!33\\)>)fD\\iLFK7$F]y$!3=I&R'>E$[*GFK7$Fby$!3iWzt!HTwP#F
K7$Fgy$!3PB^9gyw>=FK7$F\\z$!3f\\-$ppd2B\"FK7$Faz$!3&y./HG*)o?'F;7$Ffz$
!3-s[=.\"e\\_$FfdlF[[l7#-F(6$7SF+7$F/$!3q\\M-mg*oN\"F;7$F6$!3!))faTEv0
p#F;7$F=$!3w4watz@yRF;7$FB$!3=pGWqAz(>&F;7$FG$!3@*e!\\+4VGjF;7$FM$!3=y
$eKK)y]tF;7$FR$!3kH;z><PZ#)F;7$FW$!32gef*HSG+*F;7$Ffn$!3a,^\"eynUg*F;7
$F[o$!3[&HT(ej8/5FK7$F_o$!37AQS()[mI5FK7$Fdo$!3Wx&)3a%e&R5FK7$Fio$!3nA
QS()[mI5FK7$F^p$!3v&HT(ej8/5FK7$Fcp$!3f>^\"eynUg*F;7$Fhp$!3*3)ef*HSG+*
F;7$F^q$!3sl;z><PZ#)F;7$FcqFb\\s7$Fhq$!3u>1\\+4VGjF;7$F]r$!3G9HWqAz(>&
F;7$Far$!3%plZN(z@yRF;7$Ffr$!3)3gaTEv0p#F;7$F[s$!3(y!pOz$H5^\"F;7$F`s$
!3M^#4L'*>E4\"F;7$Fes$!34eoOz$H5^\"F;7$Fjs$!3;dX:k_d!p#F;7$F_t$!3i!eZN
(z@yRF;7$Fdt$!3UTGWqAz(>&F;7$Fit$!3N]0\\+4VGjF;7$F^u$!33U$eKK)y]tF;7$F
bu$!3UK;z><PZ#)F;7$Fgu$!3[Oef*HSG+*F;7$F\\v$!3t!3:eynUg*F;7$Fav$!3)HHT
(ej8/5FK7$Ffv$!3i>QS()[mI5FK7$F[w$!3xv&)3a%e&R5FK7$F`w$!3G@QS()[mI5FK7
$Few$!3#\\HT(ej8/5FK7$Fjw$!352^\"eynUg*F;7$F_x$!3Q$*ef*HSG+*F;7$Fcx$!3
q!p\"z><PZ#)F;7$Fhx$!3Q+%eKK)y]tF;7$F]y$!3sW1\\+4VGjF;7$Fby$!3!e$HWqAz
(>&F;7$Fgy$!3#>oZN(z@yRF;7$F\\z$!3AVY:k_d!p#F;7$Faz$!35%\\Bg1'*oN\"F;7
$Ffz$!3y&4wB<h:x(Fi[lF[[l7#-F(6$7S7$F,$!3#[tPp`M`m\"Fi[l7$F/$\"3y7X4/y
b!\\'F;7$F6$\"3qRQYOg+(G\"FK7$F=$\"3:H)3CENH!>FK7$FB$\"3c\"p?%QZI'[#FK
7$FG$\"3wrU-^G8FIFK7$FM$\"3*4/n7)e;;NFK7$FR$\"37jfTQj.XRFK7$FW$\"3%)))
Q/IhS1VFK7$Ffn$\"3W<a#)=@4%f%FK7$F[o$\"3Qs3t<><.[FK7$F_o$\"3.2JV8\"o+$
\\FK7$Fdo$\"3)3RToZ4E(\\FK7$Fio$\"30H`b)[\"yJ\\FK7$F^p$\"3G@_v9-tk[FK7
$Fcp$\"3qAX[WM***z%FK7$Fhp$\"3`&)4$=%)y'QZFK7$F^q$\"3qKck;b$=o%FK7$Fcq
$\"39MB)R2O/j%FK7$Fhq$\"3Svcbs*f`e%FK7$F]r$\"3[B&epZyta%FK7$Far$\"3!R+
66YTr^%FK7$Ffr$\"3Sbvt)Gm^\\%FK7$F[s$\"3;`,8h*G=[%FK7$F`s$\"3%)o>m$odt
Z%FK7$FesFjhs7$Fjs$\"3=`vt)Gm^\\%FK7$F_t$\"3B-56h99<XFK7$Fdt$\"3;?&epZ
yta%FK7$Fit$\"3=tcbs*f`e%FK7$F^u$\"3PJB)R2O/j%FK7$Fbu$\"3eJck;b$=o%FK7
$Fgu$\"3?#)4$=%)y'QZFK7$F\\v$\"3O>X[WM***z%FK7$Fav$\"3i>_v9-tk[FK7$Ffv
$\"3GE`b)[\"yJ\\FK7$F[wFifs7$F`w$\"3Z6JV8\"o+$\\FK7$Few$\"3Px3t<><.[FK
7$Fjw$\"3mCa#)=@4%f%FK7$F_x$\"3r2R/IhS1VFK7$Fcx$\"3)e)fTQj.XRFK7$Fhx$
\"3KaqE\")e;;NFK7$F]y$\"3u,V-^G8FIFK7$Fby$\"3eC2UQZI'[#FK7$Fgy$\"3'\\'
)3CENH!>FK7$F\\z$\"3SfQYOg+(G\"FK7$Faz$\"3Q:Z4/yb!\\'F;7$Ffz$\"3we<.I[
A3OFfdlF[[l7#-F(6$7S7$F,$!3J/`p/C9@h!#Z7$F/$\"3wU[48$pvF%F47$F6$\"3^/m
a&o3Pq\"F;7$F=$\"3rOcVuL-1QF;7$FB$\"37_!y2\")H()p'F;7$FG$\"3fCQa)HLK.
\"FK7$FM$\"3Yls1%4mWY\"FK7$FR$\"3'*)Qc\\&G>c>FK7$FW$\"3W%************
\\#FK7$Ffn$\"3g[X<QGe'3$FK7$F[o$\"3T(R([uZ!fq$FK7$F_o$\"3!)G(**)Q!ptM%
FKFco7$Fio$\"3?^-5h4j_cFK7$F^p$\"3Y,E^D_4%H'FK7$Fcp$\"3kLa#=;<M\"pFK7$
Fhp$\"3+!************\\(FK7$F^q$\"3^&fV]92Q/)FK7$Fcq$\"3)RtKf!R`N&)FK7
$Fhq$\"3skhX,nwm*)FK7$F]r$\"3K'=A*=q7I$*FKF`rFer7$F[s$\"3-[!poICs&**FK
F_sFds7$Fjs$\"3BV`WJ\"H'H)*FK7$F_t$\"3oVkbiwR>'*FK7$Fdt$\"34/A#*=q7I$*
FK7$Fit$\"3#e=c9qmn'*)FK7$F^u$\"3IZF$f!R`N&)FK7$Fbu$\"3F8O/Xr!Q/)FK7$F
gu$\"3?A++++++vFK7$F\\v$\"31oa#=;<M\"pFK7$Fav$\"3W@E^D_4%H'FK7$Ffv$\"3
'*)G+6'4j_cFK7$F[w$\"3')G++++++]FK7$F`w$\"3Wl(**)Q!ptM%FK7$Few$\"3=:u[
uZ!fq$FK7$Fjw$\"3OmX<QGe'3$FK7$F_x$\"3kE++++++DFKFbx7$Fhx$\"3yys1%4mWY
\"FK7$F]y$\"3%p%Qa)HLK.\"FK7$Fby$\"3qO#y2\")H()p'F;7$Fgy$\"3(oxNWPBg!Q
F;7$F\\z$\"3y`ma&o3Pq\"F;7$Faz$\"3#34&48$pvF%F47$Ffz$\"3j'[&y**)fz#=!#
XF[[l-%+AXESLABELSG6$%\"xG%!G-%%VIEWG6$;F,$\"0z*e`EfTJ!#9%(DEFAULTG" 
1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "plot3d(W,x=0..Pi,t=0..2*Pi);
" }}{PARA 13 "" 1 "" {GLPLOT3D 475 387 387 {PLOTDATA 3 "6$-%%GRIDG6%;$
\"\"!F($\"0z*e`EfTJ!#9;F'$\"0ezrI&=$G'F+X,%)anythingG6\"6\"[gl'!%\"!!#
\\bm\":\":0000000000000000BC88000000000000BC90000000000000000000000000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-%+AXESLABELSG6%%\"xG%\"tGQ!F2" 1 2 0 1 10 0 2 1 1 1 2 1.000000 
45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}}}{MARK "2 15 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 
1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }