{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 "" 0 24 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
257 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 24 0 
0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 24 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 261 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
262 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 18 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 24 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 266 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
267 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 1 24 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 1 18 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 271 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
272 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 1 24 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "T
imes" 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 "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 Output" -1 12 1 {CSTYLE "
" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 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 "Norma
l" -1 256 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 "Normal" -1 257 1 {CSTYLE "" -1 
-1 "Times" 1 24 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 "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 24 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 "Normal" -1 
259 1 {CSTYLE "" -1 -1 "Times" 1 18 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 "Normal" -1 260 1 {CSTYLE "" -1 -1 "T
imes" 1 18 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 }
}
{SECT 0 {EXCHG {PARA 260 "" 0 "" {TEXT -1 0 "" }{TEXT 273 12 "Determin
ants" }}{PARA 0 "" 0 "" {TEXT -1 64 "1693  Leibniz    (3 by 3 systems \+
of homogenous linear equations)" }}{PARA 0 "" 0 "" {TEXT -1 40 "1812  \+
Cauchy  (Area of geometric shapes)" }}{PARA 259 "" 0 "" {TEXT -1 68 "W
hat is the Area of the parallelogram in terms of the components of " }
{TEXT 256 1 "a" }{TEXT 257 1 " " }{TEXT -1 4 "and " }{TEXT 258 1 "b" }
{TEXT -1 1 "?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {METAFILE 517 469 
469 1 "iXmGh`B:F[Of\\M>w=Z:fvLG:MZ=NhHj><JHJ:^<n^@v;wjyyyyyY<^<vdiOh^o
;UTTAeVYuVYeScEBitUf:V[<N:f:^[<FhEvmF^=Vy<><I:;JXE:<j:DJ;Dlc`qsLqlp@<J
?J<J:vyyuy=:;JR^:f_;j<J;@j:B:s:qQHyI<:[V:B:CBJDKd`ppPps<LaPpu<Lcxpp@Pq
Fdb`xqOeb`xqG:>:[[:jPF:E:Mb:b:UB:N`DZ:FZ:^:>:GG=au<;kP><<JMJEvyyuy;Z:J
=jFm:au<>\\:B:G;ZyA:<:?B:vmF:Z:n>:xY:^q:B:?:IR:VgCJ>B:oi:;J=J:J<jP@J;v
:^y<F:;B:;:C:Uk;>;f^=N:=Qm`jjgBK:oq<F:>:^:f?CJ<JrAJ;<:^Y;J:<:^:f??J?JL
Hj;NZ;>C?Q=FRKL>Jw?:<:J<jPf:I:sAyA<J<jPn:C:[AK:G;Gjysy=JB<Z:n>n<yayA:u
`:FbCJIm:SV<<J>JwK=>:;:C:UK;^:j;:E;JglJm`J<jP^:Jrk=JxK:<:^:f??J?JLJflj
=aJGmJm>eFnbC^:f?EJ<:GJ<JrK>JMJ=vYxy:Z:n>n<yayA:iH:^o>jLL:]U<^:<jP^:I:
sA<:^:f??j<J=@J;>:SB:<JL^:opj`jnWgCnw=>[?vu=ny>f:;J=F:N;^>AJ@LJKPJGLJU
MJXIjoMJ<jPf::GJ<JrK>JMJ=ZyI:B:G;gjysy;:Vf@J?]:]=jP^:Jx[::C:UK;f:n:?J:
^;^>CJigeCfVYU<QC<Ag;CC<]f;E:Gj:J?JLV:gC<Kh;;F<ke;cB<Ue;C:Uk<:n:C:[AKZ
:n>n:ry=J<jPV:C:^:jGLJgXjGLjEQJfDJ<jPn::Ej;B:wj=JELjWXjiIjTQJDEj<>:?R:
=:s:qq?yI;B:^q<Z:^Z:c>c<:_<:o<=J:>:[K<<:UK;f;N@mW;cf:=J<^l<fp?nu=VaAFf
@VAU:jaEj:::;c;wC:CJ:v^;vyya:;jPV::C:V=qC<ct;ke;]V;C:UK=<:j<Z:n=JE^]B>
]Anl@fs?fZ:J;:C:UK;f:F;b:UB:;JSNm@fs?F:Cj`QJEUjEXJH\\JkTjZf;:Wb;=J<:JJ
TjY<J<>:I;[J:n>n<yayA:gJ:^r;jIL:qG;>;<JwK=<J:<J:J<B:US:IJ<:AJ>jLH:oB;K
X:oB;gO<jPf:C:[q=:UK=>;n>n:yayI:[J:<JMJEvYxY:ViB>:ce;^jB>Z:VG;B:KZ:NYJ
:<J:J<jPv::A:f>viB>i@viBnfC^:f?E:>X:UK=>;n>n:yayI:B:G;gjysy;JBL:wW:<j[
i:=H;<J<B:UK<v:^Y>Z::C:Uk=f:nZ;N:;J@JL^:iB;UG;wB;yG;YC;kG;KC;GG;S:JWLj
IMjZLjRMjcLjOMJ`LjFMJ@:fe>Nl>^f>^n>nh>fm>vg>Vk>^;:=F;CF;KF;gF;oF;YF;aF
;uE;S:JLMJuVo>>k>fq>Nj>np>>h>^;:KpnLjaMjwLjjMJtLJgMJkLJ@:Vw>Ve>Nx>fg>^
Z?nFuI;cD;S:jAPJaLJEPJj>_?FE=S;ID;S:JSPJZLjVPJcLj_Pj_^b?Fa>^;:gT;_C;uT
;CLqPjXLjmPjOLJ@:Fi?f^>>j?v`>Nl?>`>Vk?n]>^;:uV;iB;CW;MC;eW;?C;WW;[B;S:
JZQj>Lj]QjGLjfQJDLJcQJ;LJ@>:JlQJxIjoQJALJxQj=LjtQjtIJ@:vZ@nw=n[@JJTjvI
jFTjmIJ@:V_@>v=N`@Nx=Vb@^w=^a@Nu=^;:Wd;ax:ed;EqmTJiIJjTJ`IJ@:Fh@fr=>i@
vt=Nk@>t=Vj@nq=^;:ef;iw:sf;Mx:Wg;Ax:Ig;]w:S:JVUJOIjYUJXIjbUjTIJ_UjKIJ@
:^u@^m=Vv@no=fx@vn=nw@fl=^;:yi;Yv:Gr;=w:kr;onBXJ>IJ@:V^AFj=N_AVLss;SnT
XJwHJ@:nbAVh=fcAfj=veAni=>eA^g=^;:Ou;Gu:]u;ku:?v;]u:qu;yt:SB::Uv;kt:cv
;Ou:Gw;Au:yv;]t:S:jRYJ_HJVYJhHj^YJeHJ[YJ\\HJ@:^tAfa=VuAvc=fwA>c=nvAn`=
^;:ky;Ys:yy;=t:[B<os:MB<Ks:S:jG\\jJHJK\\jSHJT\\jPf_BV]=^;:yC<cr:GD<Gke
\\jIHJb\\j@HJ@:NfBnZ=FgB>]=ViBF\\=^hBvy<^;:EF<ki:SF<Or:wF<Cr:iF<_i:S:j
N]joEJR]jxEJ[]JuEjW]JlEJ@:^sBfu<VtBvw<fvB>w<nuBnt<^;:[I<[h:iI<?i:MR<qP
;`j^EJ@:V\\CNr<N]C^t<^_CfSES<qg:S:jU`JTEJY`J]?dCvq<FcCfo<^;:oT<Ig:=U<m
g:aU<_g:SU<;g:S:Jy`jFEj<ajOEJEaJLEjAaJCEJ@:FnCVk<>oCfm<NqCvl<VpCfj<^;:
EX<we:SX<[f:uX<Mf:gX<ie:S:JnaJrDjqaJ;Ej:djwNyCFg<^;:Sb<?e:ab<ce:Cc<We:
ub<sd:S:jQdjdDJUdjm>cD>F=d<Wd:S:jcdj]DJgdjfVgDNd<^fD>b<^;:ge<oc:ue<Sd:
Yf<Ed:Kf<ac:S:jFeJPDJJeJYDJSejUDjOejLDJ@:fqDn]<^rD>`<ntDF_<vsDv\\<^;:;
i<]b:Ii<Ac:mi<sb:_i<Ob:S:J<hj;Dj?hjDf]En;gr<sY:S:jMhjtAJQhj=DJZhZ<FaEn
w;^;:Qt<KY:_t<oY:Cu<aY:ut<=Y:S:JqhJgAjthJpAj=ijlAJ:ijcAJ@:NlE^s;FmEnu;
NoE>u;VnEnr;fZ:>:Gj:B:C:Uk<^:J=^Z:JrK>JMJ=vYxy:Z:n>n<yayA:eE<<JYk[k;U:
C:UK<vZ:Jx?:<:^:f?Ij<J=N:^;^>>iBVh@vjBfi@FlBfg@NjBVf@^[::fkB^d@^mBne@v
nBnc@>mB^b@^;:AG<cc;_G<wc;sG<Yc;UG<Ec;S:JV]jDTj]]jITJc]jATj[]j<^;:WH<g
Y;uH<Tjm]JrQJf]JmQJ@<J::AI<gPs]JjQjx]jbQJq]j]QJ@:FyBvp?>[CFr?N\\CFp?VZ
Cvn?^;:WR<kV;uR<?W;KS<_V;mR<KV;S:JL`JvPjS`J;QjX`jsPJQ`jnPJ@:FaCFe?>cCV
f?VdC^d?^bCNc?^;:YT<oS;wT<CT;MU<cS;oT<OS;S:Jl`jGPjs`jLPJy`jDPjq`j?PJ@:
NiCVy>FkCfZ?^lCnx>fjC^w>^;:YV<sH;wV<GI;MW<gH;oV<SH;S:jLajXMJTaj]MjYajU
MJRajPMJ@:NqCfm>FsCvn>^tC>m>frCnk>^;:[X<wE;yX<KF;OY<kE;qX<WE;S:jlajiLJ
tajnLjyajfLJrajaLJ@:VyCva>N[DFc>f\\DNa>nZD>`>^;:]b<;C;;c<OC;Oc<oB;qb<[
B;S:JMdj:LjTdj?LJZdjwIjRdjrIJ@:^aDFv=VcDVw=fdD^u=nbDNt=^;:]d<?x:;e<Sx:
Qe<sw:sd<_w:S:jmdjKIJudjPIJ:ejHIjrdjCIJ@:^iDVj=VkDfk=nlDni=vjD^h=^[::N
lD^f=FnDng=VoDve=^mDfd=^;:Ig<Et:gg<Yt:=h<ys:_g<es:S:jXo^=^sD>`=vtD>^=>
sDn\\=^;:_h<Gr:=i<[r:Si<=r:uh<ii:S:JnejmEjuejrEJ;hjjEjsejeEJ@:fyD>s<^[
ENt<v\\ENr<>[E>q<B::ar<Kg:?s<_g:Us<Ag:wr<mf:S:JNhj>EjUhjCEJ[hj;EjShjvD
J@:naENg<fcE^h<>eE^f<FcENe<^;:at<Od:?u<cd:Uu<Ed:wt<qc:S:jnV_<>iEf`<VjE
f^<^hEV]<^;:yu<Sb:Wv<gb:kv<Gb:Mv<sY:>:JDiJpAjKiJuAJQijmAjIijhAJ@:NoEfs
;FqEvt;>rEfs;FpEVr;f:;J=F:<J<jPf:C:n:C:[AKZ:n>n:yayI:B:G;gjysy;jhKSM:y
:qO:>;NY;J=<J:<J:J<B:Uk=^:j;<:f>?B:=I:gG;oB;gG;CB:f?E:>X:UK=>;n>n:yayI
:B:G;gjysy;:^RfqEB:UX:>;NYJ:>:^:f?I:j;:E;>s;>qE>s;^Z:>:Uk<:[AjPn:K:G;G
jysy=:;B:G;gjysy;JTi:C@u?Q=K:oA>:;:C:Uk=:V:jLJViJ^?QGU<C:Uk<:[AjPn:K:G
;Gjysy=:;B:G;gjysy;jwB:c=u?ue;<J>B:oA>Z:>:^:f?I:j;:E;y]@>qE>i@^Z:jPf:J
r;f?GJ>JMJ=vYxy:^:f?AJ<<:^:I:qjkQJmLjdIj@DJ<<:UK=^:j<V:n=JELJ\\QJOLjsI
j^Dj<J;@:^:f?=j<j>J:Dj@<:_c<gy:Md:=:Md:ay:MC;CX;=E:SC:s:qqXyI;B:>L<Z:^
Z:c>cTTUmsZZjpB:\\Do\\qG:>:[K<<J:f_;v:U:_kJLjtDj:j^:F`;N>CJ:f?:_;if:=:
M<JJ@JI<J<>:I;CB:f?A:J<:qJrYjfDJkQJ:^:f?G:j<Z:n=JEFtAf]<b;sk<<Z:NZ;J:^
:f?=j<j>Z<f[:JSVZ@^A=J<^ATJHDjbYjj@JP^Z:>:US:I:N@Wc;Km:JX>:JS@JKJ:f?:_
;On:JX:>^;n=>:I;jPV::C:V=cu<wg;GU<EE;C:UK=:f:JI:gjdhJ;UJ<ajJMj<J;@:;J<
jPFZ:f:F;b:UB:N@IV<=G;=J<Fn>^jCFJet<?U:_C:CJ:f_;v:JSNpCVt>FZ:jJ;F`;N>>
:U;JSjtMj:jJ;>^;f]:^Z:>:I;jP@j;:^:jGvfC>uDFeAviB^Z:jPn::E:n=JE>cC^mDvh
AVqBfZ:J;@:;J<jPF:E:M:Dj@<J:N@ou;qG<=J<VqBvhAVmD>cCNf;N@>:US:IB:JSfnAf
wBFZ:jW;N`;N>>:U;JSjA`j:^:q?JJ@jH<J<>:I;jP@j;:^:jGvp>Fe<Fo<>:C:UK=:f:J
I:gJFMjHDj]EJXf:NZ;J:^:f?=j<j>J:Dj@<J:N@Oh:sk:JXvr<^]<>m>Nf;N@>:US:I:N
@ei:Wm:JX:N`;N>>:U;JSJBG:^A:;S:uB:CJ:v>:US:A:J<:qJt^ZFnfCVoC^:f?G:j<:w
:n<eL^iJ<ajmaj<<:?R:>:C:Uk:f:F;b:UB:;JSvJIY<=:IY<CV<Ix<et<=U:SK<>:US:I
:N@_oCdj:^:IAjR:;jP:N@f`DF:vV:;KIJ:v>:Uk;:^:jGfx<n\\Cvv:fq@^Z:jPn::E:n
=JEnt<NuBfZ;Fy@f:NZ;J:^:f?=j<j>Z<f[:JS>[;Fy@FZ:jvUj<@jf]JeEJk@JSJ:f_;v
:JSV`;V_AF:Cjv;F`;N>>:U;JSj`Xj:jvkfKJ@jH<J<>:I;jP@j;:^:jGJmvVUb:C:UK=:
f:JI:g:OC;ER:Md:E:?R:>:C:Uk:f:F;b:UB:;JS>;Md:=:Ml<@jNLJeEjj@JPJ:f_;v:<
:_kSfh<F:FC:]S:J:f?:_;if:=B:FC:;KIJ:v>><;JMJEvYxY:vh;B:ab:<JViJ:<JxaZ:
^:f?A:J<:qjLYjqEJ`Pju@J<>:UK=^:j<:w:n<Gv;ag:OU;aW:EJ:NZ;J:<JH<Z:VYMty>
Z:JB?Z:B:CBJ::_tU:NEF:>:[K<<:UK>fZ:j>J:Dj@<:_krPjSAj:<J<Vp;Ng?Np<njAFC
uk@:PJrAj:::;kc^:;jMJ<jP@j;:^:I:qjxaJdXJLYJhQJ<jPn::Ej;B:w:n<wX<kr;?x;
kb;E:?R:>:C:UK>:M:Dj@<:_k^YJFTj:JFTJ[YjEXJiaj^fA:fd@F::::JCUj:::;kcJ:v
>:US:A:J<:qjvTjViJJLjZdJ<<:UK=:f:JI:gJgTjxhJYLjxdj<<:?R:J<jP>;j>Z<f[:J
Sfb>fiDFZ:jxdJYLJxhJgTj^<jX:JWej:<::>>a<;jM:f_;V::C:V=Yy:ae;ab:qI;CB:f
?G:j<:w:n<[x:ic;]c:iS;E:?R:J<jP>;j>Z<f[:JS>a<v`?F:v@]c:gc;[x:MD:u;:cU;
=B::::jRQj:::;kcJ:v>:US:A:J<:qJpLJWHjCDJ[AJ<<J:f?G:j<<:n=JEfc>ny<F`<ny
;f:;B:?R:J<jP>;j>Z<f[:JSJyAj:<J<ny;F`<fy<fc>FCuKAB:jWDJ;<J<:ZCgAuk@:fp
<F::JJ`nc<J<>:I;jP@j;:^:I:qJH`Jfej[UJj`J<jPn::Ej;JI:gjx]JHejjUJHaj<J;@
:;J<jP>;j>Z<f[:JS>w@^mCFZ:JHajjUjGejx]j^`nXn;:mX<?B:C::jX:jcdj:::;SLa<
;jM:f_;>:AB:>:1:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 256 "" 0 "" {OLE 
1 6147 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyy
ya:nYf::G:I:K:M:O:wAyA::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj<vyyuyJ;B:Ab
m?:;JZC:bKB::>nJxd>aojYr;V:>jFZ:j:vCSmlJ::::::::::OJ;@jyyyyyI:;Z::::::
:^<>:F:AlqfG[maNFO=;::::::::_J;@j:j<>:yayA:<::::::=J:FG>:VZ:vCj^nGGmq>
:;::::::::_Z:vyyuy:>:<::::::AJ:^:>:nyyM;:nyyyYE:G:IZ:>;;j>J?>:Q:S:UJ:n
;v;;JykBJC>:a:c:e:gJ:v<>=F=N=V=^=f=n=v=>^:B:=C:N>V>^>f>n>v>>?F?N?V?^?f
?n?v?>@<jRJyky;:::::::::::::::::::::::::::::::::::::::::::::::::::=Z<Z
:::>m=V;;k\\Jt:>:::::=Jyyy;d:yayYZHQ:<J:>R<:TNEj`@Pt\\Pd`QrPPJPMQ<MJPn
rPqjLqnxPq^;<:Z_SKGlAj\\@AJQLncpNdL]nIalHH<J::::::j;J:::vYxI:;Z::::::s
Z:N:GVjIh:<JNxXC>Z:>:SkCsu_j<@Z?BKaTMP];V\\QGghGbf_g<GfmGg]Wbi_f_?d[wf
_WH]R;cTTUUSaEBWTSiEB_tUUURWE:]r:aTXUeRYEU@k<HnqPQs`plDQJtnl>ZK^ZG_dZf
br_hlGF_J>@lAQnAMnQ@NbLYBxj]xoZ<OsyKI@NbLyDxjZ<JtQNtQLtyR[xoZB>Hni@>YV
KciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=J
<b<Cj:@:?j:A^<JsN:P`<jjN:<\\<^Z@hAElrfH=MtFGYMq>>Wlj:gmlJ::::::>^:NZ:v
Yyyy:>:<::::::CZ:Vv<J:<:?ja^G>D_mlVH[KR<:;B:::::::JFNZ;V:;J<jysy;Z::::
::JB<Z:^gBZ:j:vCJ:<J::::::::::OB:<jysy:>:<::::::wqy[:::::::::::::vYxI:
;Z::::::::jXHZ;V:=B:?j;A`=r@V[;b:\\rR<J:@j:<J?DJ<TrOV_<rZ?m;:N:B:B:Ob:
;b_KK;<JEa<Aj:H:;Z=HFV=J;>klB:=ZDB;:AfR::>:>:<ZbZPH?DJ<N\\\\f_<B\\N:AV
R:ZBH@;R:N;HRk:J;bF<:B;:AVR::]K::;::N:D=Z>:bR::]K::;::N:D=B:OR:;b:\\S;
xX;>M::::::::::^Z@hAuc:FF:J>;d:D@:jR>Z;:CJC:==:?:<:B:D@:D:_;>Z:>:::::j
ysyAB:^:FZ:>:yayQ:;B:;:eyD^lAJO\\:=j>r:eB;NZ:vg;Z:f:;J;@j:j<j:Djyyyy=j
<JQ@jFB:E:Qb:B:E:Sb:;i;;yCaB:n^@v;sjyyiyAZ:B:[B:<JZyI=wyyQJY<=f;V[:B:G
;Sj`@@RS;Jr@j<B:Mb:<Z<f:^\\<Nh<ncA^=<jwEJ@pyd@Z:B:[V:R:;b:<kc`qpBUXQZB
:Mv:Oro]DdcyWoDdcyW=J:>:[C:CZ:f_;j><J:N`DZ:F:;B:KSX<j<JDjYqJHjw;B:[V:R
:D:jq:<JBQJ?tob\\TtOEF:>:[;f?=J<JrAZ:F;;B:_c<B:=Z:F_sk<JDJMuJHjw;B:[V:
R:D:jq:<j>Cp]DdcQgj:J:>@jP>:C:[q:F;;B:_c<B:=J:<JNj<JDjCQKH>:qAZ:>l;Z;b
::Y=B:[V;xob\\TtOEF:>:[;f?=J<Jr?Z:F;;B:_c<B:=Z:F?f:^<yh:gS<s:qQSuI<:[V
:B:DJ:^dcSSZZ:Wmb\\TtOEF:>:[;f?;J<JrG:gZ:N@B:OB:F`kN`lF`lF`ljKIjfIjjIJ
mQJEAjjIj[AJTIJEAJHEj<<:cJ;UJc\\JHjw;<:[>;B:D::::NEF:>:[;f?=J<Jr?:UZ:N
@B:C:_SF]cFSV:Ix:gV::cJ_DjU^=;jw?rw]:JBK:<Z<::::o<=:;JR:UK:^:>X=JB<J:<
JSd:<J=<:=dVEUR;cFeV:uOx_Yax>;F;EB:;JDjW\\JHjw;<:[n:J:D::::cQgj:J:>@jP
F:C:[Q:n<N@B:O:=eR=eR=][Of\\oq=Nm=^y=vw?fk;Nw=vm;Vx=Nh;>j>f:^<UY;as;s:
qAB:>L>Z:>Z<::::o<=:;JR:UK:^:>X=j@JSZ:^:FFDp_AJPIj@AJ:M:^<OLLQJHjw;<:[
N:>Z;b:VDDpq:<JBQZ\\Gdb`Xo<=:;JR:Uk:^:>X;B:[J:<JSd:<J=jXhlOplPpLWMJEYJ
XMjJUJLQJ:Mj<<:cjpwh?N;N@B:?J:fagvk?>j>vg;JMjcEj`@PtZ_gdOwr<fZ;R;L>R:Z
f[m;:JdRS::]jcbRY]KrJ:J::E<==vKY>[Dw[j]BN_ALyDB:P>rQB>H^;kAQ^dvExb:B><
NtGby?C[r==<^xYgB@>B:=b:?J;<:=j:V:=J<b<C:N:=VJD:_=P`<jj<J;BBDJ<fAH:Aj:
<J;Vj[[Uj?@:\\rR<J:@j:<J?^:Q;;rZ?m;:N:B:B:Ob:;b_K;gVDVZ:FZ=J:rZ==q:N:K
fF<j:b<L:j;E@::;:;Z:BDb_M[<JCZBL;Vj[;:\\rR>Z;J?rZ?=:?ZlB:Z>:Vj[;:F@;:>
::J;bF:L:Z\\;:F@;:>::J;bFZ:N[;>:\\C<JF;:::::::::J<fAD:==:>KZDZ\\;:F@;R
:J<N<jj:J;Z::<Z\\;Z<JS:;B:;BWQJ:<JMJ@vYxy:J:JHB:qQB<j=>Z:>:sg:>Z:FZ<bB
aTXaEWEUUB:OB:^:<J::=B:;J:>`:^:f?;J<JrG:AZ:>::::WTJWTL<J:<ZZL:<DwVb<JI
K:<D;BbnMnM>Z:>^AKJba=sKtC=J:^:>:F::C:;J;u]:hi:w^=GjxFuZ@:eRbB:F:vYxI>
:dZy_sK>:<:::::::F:>nM``R>^N``RJ:<::::::::jysy::::::::::::::::::::J:B:
=:;rp;dMWRb<ZIx[a?Z:>Z:vYxYZ]KN@x@@D;H@KcYKgFUXJlYkDF;WI4:" }{MPLTEXT 
1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT 260 47 "Find regardless of the direction of the vectors" }}}
{EXCHG {PARA 256 "" 0 "" {OLE 1 4611 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j:
:>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::fyyyyya:nYf::G:I:wAyA::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H
_mvJ::::::::gj<vyyuyJ;B:Abm?:;JZC:bKB::>n;Ne>aojYr;V:>bAZ:j:vCSmlJ::::
::::::OJ;@jyyyyyI:;Z:::::::^<>:F:AlqfG[maNFO=;::::::::_J;@j:j<>:yayA:<
::::::=J:FG>:VZ:vCj^nGGmq>:;::::::::_Z:vyyuy:>:<::::::AJ:^:;J:JyyI?:Jy
yyyg:n:v:<J>j>Jyk?>:S:UJ:n;v;;JBB:]:_J:V<^<f<n<;jEJFjFJGjGJHJyky;:::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::=Z<B:<::::
::::::=Jyyy;d:yayYZHQ:>:;`:Z@o<fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSP
N]v;fbk;n_>WdG_dnBwmcf]]:>::::::V:>::::::::::^=<J;nj;Ae;B:Ksu_J:>:SjCs
u_j<@Z?BKaTMP];V\\QGghGbf_g<GfmGg]Wbi_f_?d[wf_WH]R;cTTUUSaEBWTSiEB_tUU
URWE:]r:aTXUeRYEU@k<HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@lAQnAMnQ@NbLYB
xj]xoZ<OsyKI@NbLyDxjZ<JtQNtQLtyR[xoZB>Hni@>YVKciDyDLcy]=D:<[:_xIHby?cn
A\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=J<b<=B:?j:A^<JsN:P`<jjN:<
\\<^Z@hAus:Lj\\FHemj^HMmqnG;KaFFJufF>::::::;C:?B:yqyyI:;Z::::::J<B:cU:
>Z:J;vCS=[LsfFaMR>`:J:<:::::::>=?R:AJ:^:vYxY:B::::::N[:>Z:^m>B:<:=ja:;
B:;:::::::::N;vYxI:;Z::::::JywYB:::::::::::::yay=J:B::::::::V:=J;Vj[s:
h;QR:DZBP@@j:<J?DZ=PFA::@M:<j:Z>njLN^gN:AVR:b:J::;Jk:J;bFZ:N[<b_IBu?JE
]Jp?:=B:KYJ=B:[YJ=JvAnyyiyYZ:J<j:>Z:vYxY;B:;:Cr>>q=JgL:=j>r:Uc:<J<<jUK
:f:;J;@j:>:E:=b:yyyyI:E:WS:mZ:f:V[<J:<j<J@DJjHJZ@kCB:Gc;YJHvyyuy;B:<JB
<Z:>rymMyyyyY:@;Ir:<j?<Z:n>^;UTRZ_?:[N>JwEZ:^=;B:;Z<^Z:B:US:f:<JDDjfvh
Af:;jCDj=HjuXj<JDjc=k<jCjc=k<j>DZ:>Z<f:^<eh:sH<s:qi:_gyB:>l;J:<Z<>ZJ^d
cgg_;<<nG]DdcyWoDdcyW=J:>:[C:CJ:f?=j@JSd:<J<JS@mRDM@Aj]IJEAJHEj<JD>b<v
@s:qQZqI<:[><Z<::::o<=:;JR:UK;^:>x;F:YJ:N`DZ:f:Fblgf[?>eV:uOx_Y;F;EB:;
JDjXYJHjw;<:[n:>:;b::::Jgj:J:>@C:Uk:^:>x;NZ:f;N@B:C:=eR=eRQX:Sw:UV:;F;
E:c:CW;s:qAB:>L;Z;>Z<jc`a\\wgfsW;\\:Nb@N[QGdb`Xo<=:;JR:UK;^:>X=J?<:_c<
B:?J:fag^w?>j>vPn>^f;fc[_HRSeTOkT:ER:PZ>;@:BU:::c\\_;:WmBZ\\wG@k<H>ZHK
:^:fBFF>;YnA[nA<I\\JOXBweZ:RK:B>H^;kAQ^dZID:<[:_X=tYKLBxjZ:cyQE\\;[:B:
=b:?J;<:=j:V:=J<b<=B:Fj;c:NHRSD:=M;BBDJ<TrX:Aj:N:AVRr@V[;ZB\\;FZ:N[<rZ
?m;:Zk>Z:F:B;D;Vj[;Z<:;:>:?=:?Zl:<J?DZPx:B<B:QB:<JMJ@vYxy:B:;:K:oa:>Z:
:^:<jPF:s:qQBvZ:>:;JXEZ:B:=b:Dlc`qsLqlp@<J?<:C:;jysy=:;JR<J<jPV:CB:>X?
B:AZ:>::::WTJWTL>Z:^obHuw@qSanx@:;vI=tp;sKPXJXNLHsPt>>:<::jHDy=tMEULvp
M;HPIqe:B:::vi=[::::::;CZ>hS``RZ:::>nS`@;c^eC@;S`r^cC@;c^>:<::j:<J:>:>
F<JnhxxyQJhST\\K;>:;:kcjQ:;:::::2:" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 256 "" 0 "" {OLE 1 5123 1 "[xm]Br=WfoRrB:::wk;ny
yI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:wAyA:::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGY
Mt>^:fBWMtNHm=;:::::::n<Ejyyiy=?Z:VZHQ:>:;`:Z@[::JJAJgLVP=y[Aj;J:`:<:=
ja^GE=;:::::::::N;?R:yyyyyy:>:<::::::JDJ:j:VBYmp>HYLkNG>::::::::N<?R:=
:EJ:vYxY:B::::::F:;jnJ:j;<ja:MLqnFYM:>::::::::N<<jyyiy=J:B::::::V:;J<J
:JyyI?:Jyyyyg:n:v:<J>j>J?>:wAS:UJ:n;v;;JBB:]:_J:V<^<f<n<;jEJFjFJGjGJHj
HJIjIJJ<Z:F^:JKjKJyky;::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::F:D:<::::::::::=Jyyy;d:yayYZHQ:>:;`:Z@o<fc[_hb_ds?h_?^on_j
>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdG_dnBwmcf]]:>::::::V:>::::::::::^=<J
;nj;ai;JNxXC>:;J@VLxXCfZ;R;Lncp^oR:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJ
d`ppPps<LaPpu<Lcxpp@Pq<jBHjc`qpDpql`KfZ=wgoOhcgfl?^HgF;R>CRMcDBEDXceV=
MC>[[vk?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNtel
i\\NtyrZ<ZJBJcy]=tYKDw[r==dDyDKyTKcyQE\\;w[FF:=j:DJ;DJ;<J;FZ;F:Aj:^:dj
:<j;VZ=R:PZ;F:=b:<j:N:IVRF:bR>Z:fb:FHemj^HMmqnG;KaFFJufF>::::::;C:?jyw
yy=J:B::::::^:<JFAZ:>Z:J;vCS=[LsfFaMR<JR<:;B:::::::JFNZ;V:;J<jysy;Z:::
:::j?JYT:<:=ja:;B:;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jysy:>:
<::::::::?JEi_<jhb:Cb[ukXHZ=j:f:J;<J:@Z<rZ=m;V=hj:N:KVF;B:=R:;B:OR:DZ=
PFA:J;>K<j:J?Z=HF:N:KfF:Z=PF:J>;>Z:N[<b_q<gVQ>Z:>HEE:=Mq>:;:::::vYxy;<
:C:=B:;jysy?Z:>:>`Lj`X:sY;<j:F;HJyE:?B:MP:<J:f:;B:?R:=:E:=b:yyyyI:E:WS
:m:E:Qb:>Z:f:^[<>n@>jJV\\:JMTjA^=yyyxY:<Z:>\\:B:;xyfpyyyyAbJ>:ed;V[:B:
G;Sj`@@RS<Jj@j<B:Mb:<Z<f:^\\<F\\>V<sJ:<jwEJrmyd@Z:B:[V:R:;b:<kc`qpBUXQ
ZB:oX;ORQ]DdcyWoDdcyW=J:>:[C:C:US:F[:>:_c<B:=J:<jg`AE:c:KU;sJ:VY:<JBA:
@Z<:vGZ:ftBN[wGdbLgj:J:>@jPF:C:[Y:<j>>Z:N`DZ:F:<jh`a:f:^<Ih:;e<s:qQSuI
<:[V:B:DJ:^dcSSnC<LcJqFdb`Xo<=:;JR:UK:^:>X=J?JSZ:N:;jR@MrIJHEj<B:cjMTj
ldJHjw;<:[>;B:DZJ:::Jgj:J:>@jPF:C:[Q:N[:JSZ:N:;JSDMrIJH;cJSDjl`JHjw?rw
]:JBG:;B:;b:<;:::o<=:;JR:UK:^:>X=J?JSd:<J;>:=eRQB;;F;EJ:^<_V;GT<s:qAB:
>L>Z:>Z<B>:::NEF:>:[;f?=J<Jr?:O:_;<J;>:==:cJiDJb\\JHjw;<:[N:>Z;b:<kcbR
Y=B:o`ZGdbLgj:J:>@jP>:C:[q:N;N`DZ:N:;jnaYxUJ:Mj<JD>v=Vk@F;;B:_;<j:>Z:f
asAj>f:<JDnk>>dBN;N@B:?:Oixsi;;>^<Kc;[D<O:_;<J;joiYxUJ:;cJjIJh_=VYZ:JX
E:<Z<B>c\\_;::o<=:;JR:Uk:^Z:Jr?:O:_;<J;>:=mSHJ:Mj^?:G;KV:UTRc=PpdPOx@j
<@Z?BKZ;V<M]f;::^D::WmBVDDpqR>H>:>:j\\jjN\\:>;YnA[nA<I\\JOXBweZ:^x?;ZJ
rJ@>YVKd<xb:B><NtGby?C[r==<^xYgB@>=j:<j:DJ;DJ;<J;F:=B:AB:=J<b<=B:Aj;Z?
R:=j:DZ:F:?j=A`:F:bR>Z:N:gvPjhb:C::f:J;<J:@Z<rZ==qZEF:>kkB:@J:<J?b:HRk
V::?J>C:=:O:Hrj:J;>kl::HRk::K>J:<J?D:q<gVQ>Z:V[:B:G;Sjysy=:;:sZ:VY[j=B
:;JXK:<j:DZ\\VdsWhngfg[:N[:J<B:;:FZ:>:;JR<J<jP>:C:[q:V:<J::::nc;ocC[::
::::::::::::::::::::::::::::::::::::::::::6:" }{TEXT -1 0 "" }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT -1 0 "" }{TEXT 261 
5 "So if" }{TEXT 259 1 " " }{OLE 1 5123 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;
:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:wAyA:::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:f
BWMtNHm=;:::::::n<Ejyyiy=E:Abm?Z:>:;`:Z@[::JBiNhLVP=y[Aj;J:`Z:B:F:YLpf
F>:::::::::J?NZ;vyyyyyQ:vYxY:B:::::::c:;:=j[vGUMrvC?MoJ::::::::JCN:yyy
xI:;Z::::::j:>:M=;:AB:Y<FCWMmvG;J::::::::JCR:=:yay=;Z::::::j;>:C:;:wyy
N::wyyyq<J=j=B:K:M:OJ:nY^;f;;JAjA>:[Z:F<N<;jCJDjDJE>:i:k:m:o:q:s:u:w:y
:;C:<jJ<:?;A;wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::j:b:B:::[H;Q:;::::::j:nyyYZDjysyAbm?:;JZC:bKg:UTRcETcTX[US;SGWC
F;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTMcDGLyVDurB:;::::::A:;::::::::::sZ:
N:GVj]U:>_iQ<;J:^Aa^iQ<ER:PZ>WdGSG@jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\
?^dcgg_WhZnc_whZNdigg[og:F\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<pNd<l\\
\\QtDqjN<KRBYVKYFKYSJ[Dw[r=ItQ=DN_yAwRJ[Dwer==D:cYKcYCcy]?tQ=\\JrJyTJv
k?_xdveB_xIHb:B><NtyrZxQ^LYBxjZdliLniPNtyo\\RJYB==j:FZ<NZ<NZ:NZ:FZ;F:A
j:^:dj:<J;vj;?Z=r@V[;b:\\RSNZ>njQEg?J>C:=R:;b<ElrfH=MtFGYMq>>Wlj:gmlJ:
:::::>^:NZ;vYxI:;Z::::::J<B:UV:>Z:J;<ja^G>D_mlVH[KR<:;B:::::::JFNZ;V:;
J<jywyyA:<::::::QB:<JTT:<:=B:Y<>Z:>:::::::::J?<Z:vYxI:;Z::::::JywYB:::
::::::::::yay=J:B::::::::NZ>RIpm;VZ=R:PZ;FZ;NZ<>Z:F:?j;A`=r@V[;ZBH@;R:
=B:;b<=:AfRH:Z<B\\>Z;ZD:AVR:b:\\RS::AfR:ZB<B:;b<?JEi_<b_u<;:::::::::ya
yYZ:J<j:<J:vYxY;B:;:yB><j`X:_Y;F:MZ=Fy<B:?B:CP:>:EJ:<J;@j:j<j:Djyyyy=j
<JQ@jFB:E:Qb:>Z:f:^[<>n@>nHV<n^@v;sjyyiyAZ:B:[B:;B:;xyfpyyyyAfHjdT:QB:
<JMJ@fc[;PP:>f;f:<j>D:Dj<JDDj]EJA]JHB:qi:_gy>Z:JBA:<Z<>ZJ^dcgg_;<<nG]D
dcyWoDdcyW=J:>:[C:C:US:N[:JSd:<J;>:]SF[y:sf:EZ:^<eE;wY:s:qAB:>L>Z:b:<;
:::o<=:;JR:Uk:^:>x;J?JSZ:N:;JSDmj@JHEj<JDv^@VlB^=VYZ:JBK:<Z<B>:::NEF:>
:[;f?;J<JrG:OB:N`DZ:N:;JSDMrIJH;cJSDjCYJHjw?rw]:JBG:;B:;b:<;:::o<=:;JR
:Uk:^:>X;J?JSd:<J;>:=eRQB;;F;EB:;JDNl?^hA^=VYZ:JBK:<J:DZJ:::Jgj:J:>@jP
>:C:[q:N;N@B:?J:FF:^<emIEJH>:qQS[:JB?:;R:;b:<kc`a\\wgfsW;\\:^n?N[hGdb`
Xo<=:;JR:Uk:^:>X;B:MB:;JSd:<j:B:cgRsf:E:cJiDJyTJHjw?RB:>l;Z;b::Y=B:kF<
OBt]DdcQgj:J:>@jP>:C:[q:N;N`DZ:N:;jnaYxUJ:Mj<JD>v=Fq>F;;JSZ:F:;B:uSx;F
;EZ:^<WF;we;OJ:N@B:?:Oixsi;;>^<Kc;we;O:_;<J;joiYxUJ:;cJjIJZ^=;jw;<:sg:
;Z:b:<KdRS::Jgj:J:>@jPF:CB:>X;j>>:_;<j:B:=tx;F;C@G;uU:UTRc=PpdPor@Z;Z>
;@jCFGl@::Jd::nG]:DpqR>H>ZHK::E<=]:jAwKBw[r=I\\JOXBweZ:RK:B>H^;kAQ^dZI
D:<[:_X=tYKLBxjZd<yLtyo\\RJZ:FZ<NZ<NZ:NZ:F:=B:AB:=J<b<=B:vj;s:h;QR:DZB
L;LZQ=B:=R:;b<?B;GVI:R;@j:@J;DJ:<Z:N:AVR:ZBH@;R:=B:;b<j;E`=:b:\\B;R:b<
j;A@:DZBP@:j;E@:B\\:<J:dJ;<ZU[PhE>:QB:<JMJ@vYxy:J:JHB:qQBv:<J:^Q>Z:FZ<
bBaTXaEWEUUB:OB:^:<J::=B:;J:>`:^:f?;B:C:[q:V:<J::::nc;ocC[::::::::::::
::::::::::::::::::::::::::::::::::4:" }{TEXT 262 9 "we define" }}
{PARA 258 "" 0 "" {OLE 1 4611 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:
F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::fyyyyya:nYf::G:I:wAyA:::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ:::
:::::gj<vyyuyj<j;tV;B:;JZC:bKB::>lvpe>aojYr;V:>ZBZ:j:vCSmlJ::::::::::O
J;@jyyyyyY;jysy;Z:::::::^<>:F:AlqfG[maNFO=;::::::::_J;vyyuy:>:<::::::=
J:FG>:VZ:vCj^nGGmq>:;::::::::_Z;F:vYxI>:<::::::AJ:^:>:nyyM;:nyyyYE:G:I
Z:>;F;;J?>:wAS:UJ:n;v;;JBB:]:_J:V<^<f<n<;jEJFjFJGjGJHjHJIjIJyky;::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::=Z<B:<::JjtpF
>:;::::::j:nyyYZDjysyAbm?:;JZC:bKg:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B:
:P`?oBY:ETV:WCKaTMcDGLyVDurB:;::::::A:;::::::::::sZ:N:GVjGU:>_iQ<;J:^A
a^iQ<ER:PZ>WdGSG@jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNd
igg[og:F\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<pNd<l\\\\QtDqjN<KRBYVKYFKY
SJ[Dw[r=ItQ=DN_yAwRJ[Dwer==D:cYKcYCcy]?tQ=\\JrJyTJvk?_xdveB_xIHb:B><Nt
yrZxQ^LYBxjZdliLniPNtyo\\RJYB==j:FZ<NZ<NZ:NZ:FZ;F:Aj:^:dj:<J;DJ;M`<bZE
M;BWD:KK;vj;?Z=r@V[;b:ED:]mtFFcmnvGWMJnC==nHEM:>::::::;C:?R:yay=J:B:::
:::^:<J;A:;B:NZ:vCS=[LsfFaMR>`:J:<:::::::>=?R:AJ:^:vYyyy;Z::::::j?<Z:>
^?>Z:>Z:j:vCJ:>:::::::::J?<Z:vYxI:;Z::::::JywYB:::::::::::::yay=J:B:::
:::::B\\_K;LJ=YgnP:KfF<j:@J:dJ;Njcb:CjXfa<rZ=m;V=hj:B:KVF<j::AfRH:Z<JS
:^Z@P\\\\f_<jj:::B:D@:jR>:>Z:>:::::::::::yayYZ:J<j:<J:vYxY;B:;:?W?;jOH
:wH;F:MZ=vg<J;nQ>:EZ:NZ;F:f:FZ<vyyyy:f:n_;F=<j<j?D:;B:E:Sb:;i:;w>aJ:<J
MTjA^=yyyxY:<Z:>\\:B:;xyFqyyyyAfMjFEZ:V[:B:G;Sj`@@RS>HEZ:F[<J:Dj<JDDjD
Ej;QJH>Z:Vy<Npx]:JBA:<Z<>ZJ^dcgg_;<<nG]DdcyWoDdcyW=J:>:[C:CZ:f_;JB>Z:N
`DZ:n:;JSDmRDMS@mj@JfMJEAj<LJ@AJHEj<JD>Z<n?sJ:VY;Xy>Z:JB[:b:RT:::o<=:;
JR:Uk:^:>x;jA>:_c<B:E:CUScEDMKJ@JxONqH;;F;EB:;JDjZeJH>:qAB:>L=J:<J:D::
::NEF:>:[;f?;J<JrAj:f;N@B:C:=eR=eRUV:Oy:QX:;F;E:cjD_^@^=VY_?<:[N:>Z;>Z
<jc`a\\wgfsW;\\:>b@N[cIdb`Xo<=:;JRJ:f?=J<Jr?Z:F[:>:_c<B:=Z:^ps_m<f:^<;
j<`JHjw?RB:>l;Z;b::Y=B:af;OrO]DdcQgj:J:>@jP>:C:[q:N[:JSd:<J;>:uSEYV;;F
;E:c:Ex:s:qA<Z:JXE:<Z<B>c\\_;::o<=Z:>:[;f?=J<Jr?Z:F;;JSZ:F:<jZpL:MJY=:
G;_U:UTRc=PpdPOm@j<@:LncZ;jnBU:::c<:JqF<bRY]KrJ:J:^:fBFFjAwKBw[r=I\\JO
XBweZ:RK:B>H^;kAQ^dZID:<[:_X=tYKLBxjZ:cyQE\\;[:B:=b:?J;<Z:FZ;F:Aj:^:dj
:<Z<:DrlZn;K[:vj;s:h;QR:DJ:\\RSNZ>roJ>C:=R:;b<?B:?VDjX:==:RF<j::AfRH:Z
<JS:^:_:FF:::<Z\\;:F@;:;B:QB:<JMJ@vYxy:J:JHB:qQBv:<J:^Q>Z:FZ<bBaTXaEWE
UUB:OB:^:<J::=B:;J:>`:^:f?;J<JrG:AZ:>::::WTJWTLB::::::6:" }{TEXT -1 1 
" " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }{TEXT 264 26 "What about about vectors  " }{TEXT 265 1 
"a" }{TEXT 266 7 "  and  " }{TEXT 267 1 "b" }{TEXT 268 18 "  in 3 dime
nsions?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 263 
59 "Consider a general triangle with sides of length a,b, and c" }}}
{EXCHG {PARA 0 "" 0 "" {METAFILE 548 232 232 1 "iXmGh`B:^cPFhC>w=Z:^rE
G:MZ=vv=j>^=>:c:Gc;YJIvyyyyya:c:itU_ESWj``pkDqqHqqTPt<lex@E:Qb:=j:f:^[
<Fo?veG^=Vy<><I:;JXE:<j:DJ;Dlc`qsLqlp@<J?J<J:vyyuy=:;JR^:f_;j<J;@j:B:s
:qQHyI<:[V:<Z:^Z:c>cTTUUSaEBWTSiEB_tUUURWmb\\TtYQg\\TtYq:J:>@<:Uk:f:F[
<Z<f[:JSd:yq:^:>:=U=OW;;kP><<JMJEvyyyyyA:mZ:F=>cGJOQJ:><<JM:ry;j\\M:eZ
:fcGjeH:KZ:Ny<>:G:;:CZ:f_;N:IZ:^y<jy[:^:f?AJ?B:Cs:Aj^MjFFs>Nd=>cGNd=>;
NY>Z::^:f?CJ<JrAJ;<:^YvYJ<jPN:C:[q;>;n>n:yayI:[B:<JMJEZyA:e:e:WH;vD:oA
GJ:>:^:<jPV:I:sAyA<J<jPf:O:C;F=NDmJcHJ<jP^:JrK<jPN:Jrg:K:G;Gjysy=j=JxG
:;J:J<jPV:K:oq<F:>:^:f?Ej=jGLjDPJTLJcHjrDJ<jPN::Cj;B:wj=JELJuMjuIJrHJP
Ej<>:?R:j@B:_ksHJPEj:^:Sg:[u:gy:gI;kmSf;:yh:=::>>SK<>:IS:yyyCJ:f?AJ<:E
:V=ug:at:oQBAJ<>:UK;:^:A:w:n<wf:gr:kR:QX:sJ:VYquyB:>L;Z:^Z:c>c<:_tU:NE
F:>:[K<<:UK=f:N:j<j>J:Dj@<J:N@uR:QX:=J<Vs;>];f\\=nm<FFqk@:nZ<F::JJ^ACJ
:<jM:f_;V::E:V=QW;?s;Ky:yT;C:UK;:^:B:w:n<SV;Ei;GB;oV;E:?R:>:C:UK=<:F;b
:UB:N@QB;oV;=J<Nm?nZ>^v@^k?NFAD:U:jhQj:::;KXJ:v>:US:A:j<Z:V=_e:EX<YO;
\\J<jPN::C:n=JEVd<>kCfs:faBf:NZ;:C:UK=:M:Dj@<:_KcgaBF:CjX\\j`=j=ajcDjk
VA:>iBF::JJ^A>Z:v>:US:A:j<:qJ>HJ@Uj\\@j^MJ<jPN::C:n=JEFw<vc@Vf;^Z?f:NZ
;:C:Uk:f:F;b:UB:N@GU:CR;=:CR;AU:Wd;Mi:mMRf;:cS;=::>>YK<>Z:v>v:^Y;jyC:^
:f_;v:KZ:NY;J=>Z:>:DJ<<:UK>v:V=at:OH;sg:aC;C:UK;:[q=^:f?CJ<<:[Q>:sQ:vY
J<jPv:K:oAG:;Z<:UK>:q:;U;sg:MH;C:UK;:[q=^:f?C:>XKJB<Z:n>n<yayA:]Y;<JAL
:U<mD;>;NY:;:CZ:f?I:j;>;f^=N:eY;aC;MR=aC;C:Uk<^:>XIj=JxK:<:^:f?IJ?JLHj
;vZG^d>>cG^`>vZGV\\>^:f?C:J;:[AK:G;Gjysy=JB<Z:n>n<ry;jD>Z:n;^f?jfJ>JwK
=>:;:CZ:f?IJ<:A:f>ve?V`>>EaC;C:Uk<^:>Xv:^Y>Z::C:Uk=N;^>VEaB;oJTLjg^d>^
:f?C:J;:[AK:G;Gjysy=J<jP>:AB:<J:3:" }{MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" 
{TEXT -1 80 "Warning, the protected names norm and trace have been red
efined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 
"A:=matrix([[A11,A12],[A21,A22]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%\"AG-%'matrixG6#7$7$%$A11G%$A12G7$%$A21G%$A22G" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 11 "inverse(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#-%'matrixG6#7$7$*&%$A22G\"\"\",&*&%$A11GF*F)F*F**&%$A12GF*%$A21GF*!
\"\"F1,$*&F/F*F+F1F17$,$*&F0F*F+F1F1*&F-F*F+F1" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 19 "tiger:=a^2=x^2+y^2;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&tigerG/*$)%\"aG\"\"#\"\"\",&*$)%\"xGF)F*F**$)%\"yGF)
F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "lion:=c^2=(b-x)^2+y
^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%lionG/*$)%\"cG\"\"#\"\"\",&*
$),&%\"bGF*%\"xG!\"\"F)F*F**$)%\"yGF)F*F*" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 21 "bear:=solve(tiger,x);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%%bearG6$*$,&*$)%\"aG\"\"#\"\"\"F,*$)%\"yGF+F,!\"\"#F,F+,$F&F0
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "dog:=eval(lion,x=bear[1
]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dogG/*$)%\"cG\"\"#\"\"\",&*$
),&%\"bGF**$,&*$)%\"aGF)F*F**$)%\"yGF)F*!\"\"#F*F)F8F)F*F*F5F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 22 "apple:=solve(dog,y^2);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&appleG,$*(\"\"%!\"\",.*(\"\"#\"\"\")%\"aGF+F,)%\"bGF
+F,F(*$)%\"cGF'F,F,*(F+F,)F3F+F,F/F,F(*(F+F,F5F,F-F,F(*$)F0F'F,F,*$)F.
F'F,F,F,F0!\"#F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "Area^2=
1/4*b^2*y^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*$)%%AreaG\"\"#\"\"\"
,$*(\"\"%!\"\"%\"bGF'%\"yGF'F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 21 "Area^2=1/4*b^2*apple;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*$)%
%AreaG\"\"#\"\"\",.*&#F(\"\")F(*&)%\"aGF'F()%\"bGF'F(F(F(*&#F(\"#;F(*$
)%\"cG\"\"%F(F(!\"\"*&F+F(*&)F7F'F(F0F(F(F(*&F+F(*&F<F(F.F(F(F(*&#F(F4
F(*$)F1F8F(F(F9*&#F(F4F(*$)F/F8F(F(F9" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {METAFILE 308 104 104 1 "i
XmGh`B:>kFVa>>w=Z:NcVG:MZ=n`;J=^=>:c:Gc;YJIvyyyyya:c:itU_ESWj``pkDqqHq
qTPt<lex@E:Qb:=j:f:^[<>k<VjA^=Vy<><I:;JXE:<j:DJ;Dlc`qsLqlp@<J?J<J:vyyu
y=Z:>:[K<jP@:E:?R:=Z:^=VYsvyB:>l;B:<J<<^L^dcgg_WhZnc_whZNdigg[oG]DdcyW
oDdcyW=:;JRB:f?=j<j>D:Dj@<:_c<vY=J<J:fjANk<>>UKBB:G;gjyyyyyY:F=<jFJpX:
]e:><<JM:ry;jpD:e:]u;nh<J>B:oi:;J=>:;:CZ:f_;N:IZ:^y<jy[:^:f?AJ?B:Cs:Aj
rDjFFh<Fh<^gAFh<>;NY>Z::^:f?CJ<JrAJ;<:^YvYJ<jPN:C:[q;>;n>n:yayI:[B:<JM
JEZyA:e:e:g=g=K:oAGJ:>:^:f?Aj=Jxky[:^:f?EJ?JL:m:]mFJ<jP^:JrK<jPN:Jrg:K
:G;Gjysy=J<jP>:AB:<J:3:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{METAFILE 404 104 104 1 "iXmGh`B:>hJVa>>w=Z:Np:G:MZ=>y;J=^=>:c:Gc;YJIv
yyyyya:c:itU_ESWj``pkDqqHqqTPt<lex@E:Qb:=j:f:^[<>k<VuC^=Vy<><IJ:>:sg:B
:=b:?bBaTXaEWEUUB:O:C:;jyyiyI:<J:>@C:US:f:NZ;F:<JHjw_my]:JBAZ:B:CBJDKd
`ppPps<LaPpu<Lcxpp@PqFdb`xqOeb`xqG:;J:>@<:Uk:f:F[<Z<f[:JSd:yq:^:>:uX<O
f:;kP><<JMJEvyyyyyA:mZ:F=^rCjrD:[Z:n>:xY:FZ:j:J<Y:Mf:Z:n>:xY:fg<jDjrX:
ge:>;<JwEJ:n:;J:J<B:US:?j=B:si:vYB:C:Uk;N;<JLHj;Fh<F=]e:]e:Su;]e:KB:NY
>Z::^:f?CJ<JrAJ;<:^YvYJ<jPN:C:[q;>;n>n:yayI:[B:<JMJEZyA:e:e:g=g=K:oAGJ
:>:^:f?Aj=Jxky[:^:f?EJ?JL:m:]mFJ<jP^:JrK<jPN:Jrg:K:G;Gjysy=J>::xy:><<J
MJEZyA:md:F:^uCB:M>[Z:n>:xY:fGf<;jrJuJ>JwK=>:;:C:Uk;v:<Jxky[:^:f?EJ?JL
JpXjr^GmjrF=C:UK<:[q;^:f??:>XEJ>JMJ=vYxy:Z:n>n<ry;JnX:eJ:FsCJuJ>JwK=>:
;:C:Uk;v:<Jxky[:^:f?EJ?JL::CX<mJ<jP^:JrW:C:UK;:[q<>;n>n:yayI:K::ry=J<j
P>:AB:<J:3:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 23 "AreaParrel^2=b^2*apple;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*$
)%+AreaParrelG\"\"#\"\"\",.*&#F(F'F(*&)%\"aGF'F()%\"bGF'F(F(F(*&#F(\"
\"%F(*$)%\"cGF3F(F(!\"\"*&F+F(*&)F6F'F(F/F(F(F(*&F+F(*&F:F(F-F(F(F(*&#
F(F3F(*$)F0F3F(F(F7*&#F(F3F(*$)F.F3F(F(F7" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {METAFILE 602 252 252 1 
"iXmGh`B:viRFbD>w=Z:vr@G:MZ=fv?J?^=>:c:Gc;YJIvyyyyya:c:itU_ESWj``pkDqq
HqqTPt<lex@EZ:V[<J;f:^[<v^@FpH^=Vy<><I:;JXE:;B:=b:?bBaTXaEWEUUB:OJ:^:>
:yyyxy:J:>@C:US:f:NZ;F:<JHjw_my]:JBA:<J<<^L^dcgg_WhZnc_whZNdigg[oG]Ddc
yWoDdcyW=:;JRB:f?=j<j>D:Dj@<:_c<yyyFZ:^:>:ag=Ic;;kP><<JMJEvyyuy;J@<:;:
_g=v^@JB<Z:n>:xY:NZ:>:=<Mf;vk=J>B:oi:Ej:J:J<jP@J;v:^y<Z::C:Uk;f:nZ;N:;
J@JLHJ<>;su:[j@IJQTjyn^@nGE:Gj:>:O:Ck;na@NNwe;SLCTJ`>;;Jw?:<:J<B:UK<vZ
:Jxky[:^:f?EJ<JrAj;>;n>YJ=vYxy:><<JMJEZyA:?J:<JwH:Wi<Nh?B:C:UK;v:^YB:J
<jPV:EZ:n:?J:^;^>CJAVi=V;Uv:Ef<;T;Kf<WS;E:Gj:J?B:Ck;^iDvf?^vDnb?VkD>[?
^:f?CJ<:E:>X>;n>n:ry=j=JxG:>:^:f?AJ<:?j=jGLJv@JYM:mS:CJ:<jPf::Cj;B:wj=
JELJf@j:MJI^h;^=VYquy>Z:JX[:^Z:c>:::NEF:>:[K<<:UK=^=VYKwyB:>LB:CBJ:::J
gj:J:>@<:Uk=^::E:?R:J<jPn:U:_kK^h;F:CJt@JI>j>>e;FFALHjwWIB:>LB:CBJ:::J
gj:>:;JRB:;jP>;U:_KMvp;F:^H:uk_n;;B:J;DJ;^::Ve[g?qK<>:Uk=f;N@AMoDj:^:c
=jR@PP^:;jP>;JSn>gf:=:c=JP@pJf;:ig:=::>^[G^::JfEj:::=URqK<>:Uk=:_kkV\\
=F:CJt:N`[__:J:f?K:N@GkYHj:Jt:^_[k@:>f=F:C::;;U:j:Ij:^::FFJ:f?I:N@AMXI
j:Jt:V`[_?>:UK>:_KM>w=F:^H:uTRSk@:^\\>F:C::;kX^:;jM@jyyY<>:Uk;:N:jG>_@
Vs@>p>nb=^:;jPf::C:;B:w:n<Kb;Wf;WH;=v:E:?:;J<jPn:E:M:Dj@<J:N@aH;=v:=Z:
Fj=ns>fk@>[@Nf[OCCJ:f_;>;JSnt>Vs=F:FJ:uSRQl@:n\\>F::jg@pPf;:AD;=::NFAL
<>:Uk=:_kCPJ=Mj:j:;F`[_?CJ:f?K:N@gPSMj:j:;^_[G>U:jcMj:::;SR=;:cI;=::NF
J:f?I:N@ajUPj:^:=>JS@PP<:;jP>;JSnTAU;=:=>JP::CV;=::>>:jLQj:::?=>:Uk=:_
kC>w?F:FJ:aSRS;;jP>;JSnTcb;=J<FJ:uTRSk@:>b@FZ:::;KX^:;jMJB>:G;gjysy;Jt
T:=L:nWFd?B:C:UK;:sQ:B:J<jPF;EZ:n:?J:^;^>CJheJ`PJoeJZPj[Uj?gp@vLE:Gj:J
?B:Ck;Vv@^Hwe;Vm@^PC:UK<:f:C:[q>>;<JMJ=ZyI:C:Uk;:N:I:qjfDJTujjoxA^:f?E
:J<V:n=JEFa<vhHvY]C<E:?R:J<jPn:E:M:Dj@<:_K<@jR\\j:^:]C<yQutjVDJkNCU:jw
\\j:<::f?Sk@:vnBF::jj<j[^:;jP@J>:_k=@Jo]j:^:];jX<j_f;:eS<=J<:jgf?U:Jk`
j:::;kJ<j@:VjCFZ:::?m[<:;B:Uk=:_K\\@J]aj:jR:F@SK<>:UK>:_k=NxCF:F@:U;U:
JIdj:^::FFq;;jPv:JS^Bmd<=:];jRJ<>:UK>:_k=fjDF:F@:SkJ:JMej:::;kJ:j]ej::
:?=>Z:f?I:N@CL?hj:^:];JS<JPJ:f?K:N@IJUhj:jR:f?f;:?u<=::FFJ:f?I:N@ClHij
:jR:N@^:;jP>;JSv:Mx<=:];JP::Oy<=::>>?C:U:J@lj:^::NFJ:<jPv:JS^BYD==:];j
S^?>:UK>:_k=ViFF:F@:U;U:jMmj:::==>:Uk=:_K\\NvFF:F@:a;CJ:f?K:N@IJApj:^:
];jh^?U:JWpj:::;KX^:;B:I;C:UK:<j;<:;5:" }{MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "m[1]:=s
qrt(a[1]^2+a[2]^2+a[3]^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"mG6
#\"\"\"*$,(*$)&%\"aGF&\"\"#F'F'*$)&F-6#F.F.F'F'*$)&F-6#\"\"$F.F'F'#F'F
." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "m[2]:=sqrt(b[1]^2+b[2]
^2+b[3]^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"mG6#\"\"#*$,(*$)&%
\"bG6#\"\"\"F'F/F/*$)&F-F&F'F/F/*$)&F-6#\"\"$F'F/F/#F/F'" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "m[3]:=sqrt((a[1]-b[1])^2+(a[2]-b[2]
)^2+(a[3]-b[3])^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"mG6#\"\"$*
$,4*$)&%\"aG6#\"\"\"\"\"#F/F/*(F0F/F,F/&%\"bGF.F/!\"\"*$)F2F0F/F/*$)&F
-6#F0F0F/F/*(F0F/F9F/&F3F:F/F4*$)F<F0F/F/*$)&F-F&F0F/F/*(F0F/FAF/&F3F&
F/F4*$)FCF0F/F/#F/F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "ban
:=eval(apple,\{a=m[1],b=m[2],c=m[3]\});" }}{PARA 12 "" 1 "" {XPPMATH 
20 "6#>%$banG,$*&#\"\"\"\"\"%F(*&,.*(\"\"#F(,(*$)&%\"aG6#F(F-F(F(*$)&F
26#F-F-F(F(*$)&F26#\"\"$F-F(F(F(,(*$)&%\"bGF3F-F(F(*$)&FAF7F-F(F(*$)&F
AF;F-F(F(F(!\"\"*$),4F/F(*(F-F(F1F(F@F(FHF>F(F4F(*(F-F(F6F(FDF(FHFBF(F
8F(*(F-F(F:F(FGF(FHFEF(F-F(F(*(F-F(FKF(F=F(FH*(F-F(FKF(F.F(FH*$)F=F-F(
F(*$)F.F-F(F(F(F=FHF(FH" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "
ysq:=expand(ban);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$ysqG,4*.\"\"#
\"\"\",(*$)&%\"bG6#F(F'F(F(*$)&F-6#F'F'F(F(*$)&F-6#\"\"$F'F(F(!\"\"&%
\"aGF.F(F,F(&F:F2F(F1F(F8*.F'F(F)F8F9F(F,F(&F:F6F(F5F(F8*.F'F(F)F8F;F(
F1F(F=F(F5F(F8*(F)F8F9F'F1F'F(*(F)F8F9F'F5F'F(*(F)F8F;F'F,F'F(*(F)F8F;
F'F5F'F(*(F)F8F=F'F,F'F(*(F)F8F=F'F1F'F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 7 "m[2]^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)&%\"bG
6#\"\"\"\"\"#F)F)*$)&F'6#F*F*F)F)*$)&F'6#\"\"$F*F)F)" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 29 "ysqbsq:=simplify(m[2]^2*ysq);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%'ysqbsqG,4*,\"\"#\"\"\"&%\"aG6#F(F(&%\"bGF
+F(&F*6#F'F(&F-F/F(!\"\"*,F'F(F)F(F,F(&F*6#\"\"$F(&F-F4F(F1*,F'F(F.F(F
0F(F3F(F6F(F1*&)F)F'F()F0F'F(F(*&F9F()F6F'F(F(*&)F.F'F()F,F'F(F(*&F>F(
F<F(F(*&)F3F'F(F?F(F(*&FBF(F:F(F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 78 "hmmm:=(a[2]*b[3]-b[2]*a[3])^2+(a[3]*b[1]-b[3]*a[1])^2
+(a[1]*b[2]-b[1]*a[2])^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%hmmmG,
(*$),&*&&%\"aG6#\"\"#\"\"\"&%\"bG6#\"\"$F.F.*&&F0F,F.&F+F1F.!\"\"F-F.F
.*$),&*&F5F.&F06#F.F.F.*&F/F.&F+F<F.F6F-F.F.*$),&*&F>F.F4F.F.*&F;F.F*F
.F6F-F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "expand(hmmm);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,4*,\"\"#\"\"\"&%\"aG6#F&F&&%\"bGF
)F&&F(6#F%F&&F+F-F&!\"\"*,F%F&F'F&F*F&&F(6#\"\"$F&&F+F2F&F/*,F%F&F,F&F
.F&F1F&F4F&F/*&)F'F%F&)F.F%F&F&*&F7F&)F4F%F&F&*&)F,F%F&)F*F%F&F&*&F<F&
F:F&F&*&)F1F%F&F=F&F&*&F@F&F8F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
0 "" }{TEXT 269 74 "So the area of the parallelogram created by using \+
two vectors is such that" }}{PARA 0 "" 0 "" {TEXT 272 1 " " }}{PARA 0 
"" 0 "" {TEXT -1 0 "" }{OLE 1 7171 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>
:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::fyyyyya:nYf::G:I:K:M:O:Q:S:wAyA::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::_lqvGcMJ<j
\\nGcMsFI>:::::::JEf:yyyxIV:VZHQ:<J:>R<:T><::[eFKEkSGvAX:A:;D>>:F:YLpf
F>:::::::::J?NZ;vyyyyyQ:vYxY:B:::::::c:;:=j[vGUMrvC?MoJ::::::::JCN:yyy
xI:;Z::::::j:>:M=;:AB:Y<FCWMmvG;J::::::::JCR:=:EJ:vYxY:B::::::V:;J<>:;
:wyyN::wyyyq<J=j=>Z:>;F;N;;j?J@j@>:W:YJ:><<jBJykCJDjDJE>:i:k:m:o:q:s:u
:w:y:;C:<jJ<:?;A;C;E;G;I;K;M;O;Q;S;U;W;Y;[[:F@N@V@^@f@n@v@>AFANAVA^AfA
nA;jYJZB:wAyA:::::::::::::::::::::::::::::::::::::::::F:D:<::JjIj?^Huk
[NAsleFCWLa^D^DEl`>Du;J\\F:wyyAb<<jysyAbm?:;JZC:bKg:UTRcETcTX[US;SGWCF
;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTMcDGLyVDurB:;::sL`vCAlZ^CaLy<jR^EcL:
V:[]:fDal\\NDClafC=l^jXvD=LcnCELb<j]:a<_<=l`fBuKHB:?J=AvdHZ:>_iQ<;J:^<
a^iQ<ER:PZ>WdGSG@jCXontpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNd
igg[oG]r:aTXUeRYEU@k<HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@laPnAMnQ@NbLY
Bxj]xoZ<OsyKI@NbLyDxjZ<JtQNtQLtyR[xoZB>Hni@>YVKciDyDLcy]=D:<[:_xIHby?c
nA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?B:=R:=j;F:CZDFZ:N:=VJD:_M;RSD:=M;
LJ=q]wV:OZ;r:ElrfH=MtFGYMq>>Wlj:gmlB:;:::::JJ<J;vYyyy:>:<::::::CZ:Fh=B
:;B:N:YLpJb<Jsff:VH[KR<:;B:::::::JFNZ;vYxY<jysy;Z::::::JC<J:<J?i:<:=ja
:;B:;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jysy:>:<::::::::@j;F:
?B:=FVD:_=x`<JoNZ:RSD:AM;<Znc:fFBSD:;K;RRD:_=P@FFBBjnN:t`<JJj=Q`=r@V[;
b:\\rR<J:@j:<J?DZA<:?Zlj::=>@RrZfc:FFbUjl>Z<b_KK;<Zcj;^=hZ;F:?J>K:dJ;L
J=i\\eV:=r:>:@Rr<:DAvGbTjlN:H@^HRSJlZZ:==DAfFRRJJZc;W=<<XBV=B:>KF:dZ:v
J::aK:@:RZN:=FVJpZ[;W=P`:JE]\\<jNZV:=Z<B\\_[:J<:@j;B:Fjj?:NHrUJoZ_c:VF
BWjlZ^;;;@@NHRSjjZZ:M=t@>>vJr@J:B\\aK:@:OJ:XB:ZkB::=^<RZ[=l@FFbUjl>:TS
NN:`<^=R:N:KfFB:=Z:>Z:::jysyAB:<J<j:<J:vYxY;J:JZ=O:<jgI:Kt<<j:F;^n?B:I
JUAZ:B:EJ:<J;@j:j<j:Djyyyy=j<JQ@jFB:E:Qb:B:E:Sb:;v:;TLaZ:n^@v;sjyyiyAZ
:B:[B:<JZyIowyyyy;RL<JWH:QB:<JMJ@fc[;PP:>JEZ:F[<Z<f:^\\<>n<>j@^=;B:qi:
eWyMR:B:[V:R:;b:<kc`qpBUXQZB:=T;OrK]DdcyWoDdcyW=J:>:[C:C:US:F[:>Z:N`DZ
:F:;B:KSX<j<JDJ^dKHjw;B:[V:R:D:jq:<JLQJ?Tpb\\TtOEF:>:[;f?=J<JrAZ:F;;B:
_c<B:=Z:F_sk<JDvm<F_W^=VYaWyMR:B:[V:R:D:jq:<jZBL]DdcQgj:J:>@jP>:C:[q:F
;;B:_c<B:=J:<JNj<JDJB@MHjw;B:[V:R:D:jq:<JLsS]DdNEF:>:[;f?=J<Jr?Z:F;;B:
_c<B:=Z:F?f:^<>xm^=;jw;B:[V:<Z;b::Y=B:=\\CGdb`Xo<=:;JR:UK:^:>X=j>>Z:N`
DZ:F:;B:K;E:c:IwKs:qAZ:>l;Z;b::Y=B:C_bGdbLgj:J:>@jPF:C:[Q:<j>>Z:N`DZ:F
:<jNJ>B:oi:<Z::DJ<<:UK:f:^<Od:OU;E:ab:Ac:iV;E:>b=^Z@fZ::]lwTj<:>ZCw:^y
<>:<Z<>Z:^:f??J><:oq<FZ:B:;:C:Uk;N=^^=V;GU;Ed:AW;[b:Cb;oi:_e;G\\CoB^e:
^j@^EYb;;t:mY;;t:QV;ic:YU;[d:CB:f?;j<JDng;fok^=VYuiyB:>l;J:<Z<B>cTTP@W
\\ZrUnG]DdcQgj:J:>@jP^:C:[q:N[:>:_;<J;>Z:N`lvlPnZ<f:;JDVh;nvT^=;jw;<:[
><Z<B>:::NEF:>:[;f?=J<Jr_Z:F;;B:_c<B:=:_cFGb:E:cb:ci:oy>s:qAB:>l;Z:b::
::Jgj:J:>@jP^:C:[q:>\\:B:_c<B:GZ:F`lN`mV`kfb;viOFd;ngOf`;nZ<f:^<;f:mKH
>:qQZtI<:[><Z<::jp:NEF:>:[;f?=J<Jr_Z:VB;B:_;<JN<:=dVEUR[eVdplHPtPPl<lj
Dql>^cogZ>^j_g[og_?hlwG:Va;VLCPqLJjWL;Qy^RCPyJj=Jr<J\\Wl:^RCPrnI;QOHJr
<Jj=ju^R;qwLJjKjoICP\\oI>V[M\\?j=fZ:JDD:AcCs:qaxA:;B:>LB:DZJ:a=:FDNEF:
>:[K<jP^:C:[q:fA;JSJ:<JLjl@PJBB;CV::FFE=:^r:^R[My>VOt:[MjwH>VoE;;AnICP
\\oI>V[M\\WLCP\\?HwMjO]=>HvH>V;v:<:c:IB;sJ:VYtY:>Z:JB[;b:<kcbRY]q[:^Nh
pb\\TtOEF:>:[;f?=J<Jr_Z:^;;JSd:;B:AB:<jXhlOlnhYk]UK:Ij<JDD:=t>sJ:VYZ:J
XE:;B:D:c\\_WH:jbJgj:J:>@C:UK<^:>X=JB<Z:N@B:G:EUSEUSF_;viOFe;ngOFc;>Jg
W:n>Ff=fc[_HRSeTOet:ER:PZ>SMR:ajnBUFF:@@Jd::jBZ\\wG@[=;DQJt>;:fBFFRBY<
Bw[j]BN_ALyDB:PNt_XB:<[=we;?:YVKdlir]<ZJBJcqZxQ^>\\IFBvExo\\RJZ:FZ<N:?
B:F:=j;<j:^:dj:<:=VJ;b:NHRSD:=M;LJ=q=Z;r:VZ:FZ:NZ:BV;b:NHrUJoB:P@VF<Zn
;E=L@>>?Z[;_=P@FFBBjnZhc:>>vj_[Uj?@J:DZBH`:>Z;FZ:N[<r[:J;bFF:j:[;@HBUD
J:FFbUjl>Z<b_KK;RDV:sZER:N:K>;b<?B;h\\ej:H:;Z;@h:Zl;Y=d@fF?Z];c=P@^FBB
jjZl;E=@@>>RTJqZZZA<q:<:K>=ZDB:I>:jS>Z;:@B?j:=A^GRRJqZ_C:nlbb:F?BAj:b:
\\RSB:^:Z;V:<:=FV;:_=x@NGRSD:A=LAfFBSJJZ[;_=P@FFBBjnZh;;;I>h;>:\\rS>Z;
J?>ZA<:RF<:j:c:@RrZf;==t@fF;ZP@??Zc:s:@:?J>E=<j:B:;B:QB:<JMJ@vYxy:J:J>
>Z:NY;B:<:J<B:Uk:v:<Jx?:<:^:f?EJHB:qQBv:>:s?<j:DZ\\VdsWhngfg[:N[:B:C:;
jysy=:;JR<J<jPn:C:[Q<<j;B:;:::Ja@Na`>;B:?t:>;Kv:QJr`kA>mSVec?mSVE:::::
:::CjB>Z;^;[rTUJU>:g;;:[W@qTT;Z:N:eJ:<J@<JBtVG>k;V;CjER:>mSJF;:J:B:SjG
>:>u;V;kX:NaX?:<:[?B:CJ<>Z;JByqF>D<JjIJ:>Z:JRkZ^FCJ>>:SJFAj?>dlP]:VfXC
:<:[?k>CjM>:KJBEUGf`:JUJJhOT\\Kjdp@J:V:Q;cJBAj?>l;JFa;k>EJQR:[B:[ff>\\
:>Z:>`:B:[bfoJ:hOT>:<JFa;k>ijSJ>>`<V;[c:>:;jbHogl_:B:[B:<JZhQT\\KTi:<:
::::JAN?<J:>w;V;KY:>:;::::::::GjBJ>>o;V;KW:>:;Jfap@6:" }{TEXT 270 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 271 
7 "Example" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "with(plottool
s):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}
{PARA 7 "" 1 "" {TEXT -1 62 "Warning, the names arrow and changecoords
 have been redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "h
ot1:=arrow(  [0,0,0],   [2,2,5],color=blue,width=.1,head_length=.4):" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "hot2:=arrow(  [0,0,0],   \+
[1,4,4],color=red,width=.1,head_length=.4):" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 45 "hot3:=line(  [2,2,5],   [3,6,9],color=black):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "hot4:=line(  [1,4,4],   [3,6
,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "display(hot1,hot2,hot3,hot4)
;" }}{PARA 13 "" 1 "" {GLPLOT3D 426 426 426 {PLOTDATA 3 "6,-%)POLYGONS
G6.7&7%$\"+usGxI!#6F($!+?)H=Y#F*7%$\"+\\2^\"*=!\"*F.$\"+!REsi%F07%$\"+
+]T1>F0$\"+1B&['=F0$\"+m!G>j%F07%$\"+\"R7xc%F*$\"*8IW6%F*$!+i@m\"*>F*7
&F:F37%$\"+U@(Q!>F0$\"+\"HAm$=F0$\"+:sBWYF07%$\"+BmU8VF*$!+(\\e:T#F*$!
+/DZ2w!#77&FIFB7%$\"+hM&[)=F0$\"+5Og<=F0$\"+h@XfYF07%$\"+(\\e:T#F*$!+B
mU8VF*$\"+/DZ2wFP7&FYFR7%$\"+YMic=F0$\"+_21:=F0$\"+58wrYF07%$!*8IW6%F*
$!+\"R7xc%F*$\"+i@m\"*>F*7&FboF[o7%$\"+.]'*H=F0F[p$\"+')HYwYF07%$!+usG
xIF*F`p$\"+?)H=Y#F*7&F_pFjo7%F^oF\\oF`o7%FeoFcoFgo7&FfpFep7%FUFSFW7%Ff
nFZFhn7&FipFhp7%FEFCFG7%FLFJFN7&F\\qF[q7%F6F4F87%F=F;F?7&F_qF^qF-F'-%&
STYLEG6#%,PATCHNOGRIDG-%'COLOURG6&%$RGBG$\"\"!FjqFiq$\"*++++\"!\")-F$6
.7%7%$\"+@OGA>F0Fbr$\"+#43Eg%F07%$\"+,+++?F0Fgr$\"+++++]F07%$\"+C@4_>F
0$\"+On'*o=F0$\"+X9,7YF07%F[sFfr7%$\"+3k+Z>F0$\"+1n]7=F0$\"+V(Hmj%F07%
FcsFfr7%$\"+Y!p*3>F0$\"+W$pWx\"F0$\"+L'fqm%F07%F[tFfr7%$\"+;!4D&=F0$\"
+GOQp<F0$\"+Jzn\"p%F07%FctFfr7%$\"+J@>*z\"F0F\\u$\"+%G\"3,ZF07%F[uFfr7
%FftFdtFht7%FauFfr7%F^tF\\tF`t7%FcuFfr7%FfsFdsFhs7%FeuFfr7%F^sF\\sF`s7
%FguFfrFarFaqFeq-F$6%7,FarF[sFcsF[tFctF[uFauFcuFeuFguFaqFeq-F$6%7,F'F:
FIFYFboF_pFfpFipF\\qF_qFaqFeq-F$6.7&7%$\"+:m+W%)FP$\"+[EgxLF*$!+8Gq)e$
F*7%$\"+S%H\")Q*!#5$\"+x<DbPF0$\"+B()e&o$F07%$\"+]07d'*F\\w$\"+(=t;u$F
0$\"+NDW#p$F07%$\"+d<JMNF*$\"+COu>?F*$!+k:K.HF*7&FhwFaw7%$\"+jH6\"z*F
\\w$\"+j)z.s$F0$\"+\\gQ5PF07%$\"+()eBu[F*$!*<))e4\"F*$!+b,(*36F*7&FgxF
`x7%$\"+Kh#*Q(*F\\w$\"+J^]*p$F0$\"+`acKPF07%$\"+zvO_VF*$!+\\?1(>#F*$\"
+b,(*36F*7&FfyF_y7%$\"+`O\\?&*F\\w$\"+GC-(o$F0$\"+n*30v$F07%$\"+(yU!o@
F*$!+gALXMF*$\"+k:K.HF*7&FezF^z7%$\"+3$\\#>#*F\\w$\"+D(*p(o$F0$\"+zFOd
PF07%$!+:m+W%)FP$!+[EgxLF*$\"+8Gq)e$F*7&Fd[lF][l7%$\"+)>e-&*)F\\w$\"+:
$y7q$F0Fcz7%$!+d<JMNF*$!+COu>?F*Fjz7&Fa\\lF\\\\l7%$\"+&yli\"))F\\w$\"+
R;dAPF0Fdy7%$!+()eBu[F*$\"*<))e4\"F*F[z7&F\\]lFg\\l7%$\"+;EXo))F\\w$\"
+rjWVPF0Fex7%$!+zvO_VF*$\"+\\?1(>#F*F\\y7&Fg]lFb]l7%$\"+&4&)o3*F\\w$\"
+u!Hfv$F0Ffw7%$!+(yU!o@F*$\"+gALXMF*F]x7&Fb^lF]^lFivFbvFaq-Ffq6&FhqF[r
FiqFiq-F$6.7%7%$\"+1&pDZ*F\\w$\"+/y-*y$F0$\"+&p,(\\OF07%$\"+)*********
F\\w$\"+,+++SF0$\"+++++SF07%$\"+t^0,5F0$\"+B1(=w$F0$\"+?$4Mm$F07%F[`lF
d_l7%$\"+bO&y-\"F0$\"+vRG>PF0$\"+[jH*p$F07%Fc`lFd_l7%$\"+*G;u,\"F0$\"+
5X`xOF0$\"+a^lVPF07%F[alFd_l7%$\"+JzHP(*F\\w$\"+1\"pDl$F0$\"+#=U&zPF07
%FcalFd_l7%$\"+U#4[8*F\\w$\"+)pBRl$F0$\"+2)\\Kz$F07%F[blFd_l7%$\"+Bq#o
f)F\\w$\"+z33\"o$F0Fhal7%FcblFd_l7%$\"+'>U)G$)F\\w$\"+FvmBPF0F`al7%Fib
lFd_l7%$\"+ee@L%)F\\w$\"+#*pTlPF0Fh`l7%F_clFd_l7%$\"+<33q))F\\w$\"+'R#
Q!z$F0F``l7%FeclFd_lF]_lFaqFh^l-F$6%7,F]_lF[`lFc`lF[alFcalF[blFcblFibl
F_clFeclFaqFh^l-F$6%7,FbvFhwFgxFfyFezFd[lFa\\lF\\]lFg]lFb^lFaqFh^l-%'C
URVESG6$7$7%$\"\"#FjqFfdl$\"\"&Fjq7%$\"\"$Fjq$\"\"'Fjq$\"\"*Fjq-Ffq6&F
hqFjqFjqFjq-Fbdl6$7$7%$\"\"\"Fjq$\"\"%FjqFielFjdlFael" 1 2 0 1 10 0 2 
1 1 1 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3
" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 1
0" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 70 "dog1:=arrow(  [0,0,0],   [2,2,0],color=green,
width=.1,head_length=.4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
70 "dog2:=arrow(  [0,0,0],   [1,4,0],color=green,width=.1,head_length=
.4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "dog3:=line(  [2,2,0
],   [3,6,0],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
45 "dog4:=line(  [1,4,0],   [3,6,0],color=black):" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 49 "display(hot1,hot2,hot3,hot4,dog1,dog2,dog3,d
og4);" }}{PARA 13 "" 1 "" {GLPLOT3D 426 426 426 {PLOTDATA 3 "66-%)POLY
GONSG6.7&7%$\"+usGxI!#6F($!+?)H=Y#F*7%$\"+\\2^\"*=!\"*F.$\"+!REsi%F07%
$\"++]T1>F0$\"+1B&['=F0$\"+m!G>j%F07%$\"+\"R7xc%F*$\"*8IW6%F*$!+i@m\"*
>F*7&F:F37%$\"+U@(Q!>F0$\"+\"HAm$=F0$\"+:sBWYF07%$\"+BmU8VF*$!+(\\e:T#
F*$!+/DZ2w!#77&FIFB7%$\"+hM&[)=F0$\"+5Og<=F0$\"+h@XfYF07%$\"+(\\e:T#F*
$!+BmU8VF*$\"+/DZ2wFP7&FYFR7%$\"+YMic=F0$\"+_21:=F0$\"+58wrYF07%$!*8IW
6%F*$!+\"R7xc%F*$\"+i@m\"*>F*7&FboF[o7%$\"+.]'*H=F0F[p$\"+')HYwYF07%$!
+usGxIF*F`p$\"+?)H=Y#F*7&F_pFjo7%F^oF\\oF`o7%FeoFcoFgo7&FfpFep7%FUFSFW
7%FfnFZFhn7&FipFhp7%FEFCFG7%FLFJFN7&F\\qF[q7%F6F4F87%F=F;F?7&F_qF^qF-F
'-%&STYLEG6#%,PATCHNOGRIDG-%'COLOURG6&%$RGBG$\"\"!FjqFiq$\"*++++\"!\")
-F$6.7%7%$\"+@OGA>F0Fbr$\"+#43Eg%F07%$\"+,+++?F0Fgr$\"+++++]F07%$\"+C@
4_>F0$\"+On'*o=F0$\"+X9,7YF07%F[sFfr7%$\"+3k+Z>F0$\"+1n]7=F0$\"+V(Hmj%
F07%FcsFfr7%$\"+Y!p*3>F0$\"+W$pWx\"F0$\"+L'fqm%F07%F[tFfr7%$\"+;!4D&=F
0$\"+GOQp<F0$\"+Jzn\"p%F07%FctFfr7%$\"+J@>*z\"F0F\\u$\"+%G\"3,ZF07%F[u
Ffr7%FftFdtFht7%FauFfr7%F^tF\\tF`t7%FcuFfr7%FfsFdsFhs7%FeuFfr7%F^sF\\s
F`s7%FguFfrFarFaqFeq-F$6%7,FarF[sFcsF[tFctF[uFauFcuFeuFguFaqFeq-F$6%7,
F'F:FIFYFboF_pFfpFipF\\qF_qFaqFeq-F$6.7&7%$\"+:m+W%)FP$\"+[EgxLF*$!+8G
q)e$F*7%$\"+S%H\")Q*!#5$\"+x<DbPF0$\"+B()e&o$F07%$\"+]07d'*F\\w$\"+(=t
;u$F0$\"+NDW#p$F07%$\"+d<JMNF*$\"+COu>?F*$!+k:K.HF*7&FhwFaw7%$\"+jH6\"
z*F\\w$\"+j)z.s$F0$\"+\\gQ5PF07%$\"+()eBu[F*$!*<))e4\"F*$!+b,(*36F*7&F
gxF`x7%$\"+Kh#*Q(*F\\w$\"+J^]*p$F0$\"+`acKPF07%$\"+zvO_VF*$!+\\?1(>#F*
$\"+b,(*36F*7&FfyF_y7%$\"+`O\\?&*F\\w$\"+GC-(o$F0$\"+n*30v$F07%$\"+(yU
!o@F*$!+gALXMF*$\"+k:K.HF*7&FezF^z7%$\"+3$\\#>#*F\\w$\"+D(*p(o$F0$\"+z
FOdPF07%$!+:m+W%)FP$!+[EgxLF*$\"+8Gq)e$F*7&Fd[lF][l7%$\"+)>e-&*)F\\w$
\"+:$y7q$F0Fcz7%$!+d<JMNF*$!+COu>?F*Fjz7&Fa\\lF\\\\l7%$\"+&yli\"))F\\w
$\"+R;dAPF0Fdy7%$!+()eBu[F*$\"*<))e4\"F*F[z7&F\\]lFg\\l7%$\"+;EXo))F\\
w$\"+rjWVPF0Fex7%$!+zvO_VF*$\"+\\?1(>#F*F\\y7&Fg]lFb]l7%$\"+&4&)o3*F\\
w$\"+u!Hfv$F0Ffw7%$!+(yU!o@F*$\"+gALXMF*F]x7&Fb^lF]^lFivFbvFaq-Ffq6&Fh
qF[rFiqFiq-F$6.7%7%$\"+1&pDZ*F\\w$\"+/y-*y$F0$\"+&p,(\\OF07%$\"+)*****
****F\\w$\"+,+++SF0$\"+++++SF07%$\"+t^0,5F0$\"+B1(=w$F0$\"+?$4Mm$F07%F
[`lFd_l7%$\"+bO&y-\"F0$\"+vRG>PF0$\"+[jH*p$F07%Fc`lFd_l7%$\"+*G;u,\"F0
$\"+5X`xOF0$\"+a^lVPF07%F[alFd_l7%$\"+JzHP(*F\\w$\"+1\"pDl$F0$\"+#=U&z
PF07%FcalFd_l7%$\"+U#4[8*F\\w$\"+)pBRl$F0$\"+2)\\Kz$F07%F[blFd_l7%$\"+
Bq#of)F\\w$\"+z33\"o$F0Fhal7%FcblFd_l7%$\"+'>U)G$)F\\w$\"+FvmBPF0F`al7
%FiblFd_l7%$\"+ee@L%)F\\w$\"+#*pTlPF0Fh`l7%F_clFd_l7%$\"+<33q))F\\w$\"
+'R#Q!z$F0F``l7%FeclFd_lF]_lFaqFh^l-F$6%7,F]_lF[`lFc`lF[alFcalF[blFcbl
FiblF_clFeclFaqFh^l-F$6%7,FbvFhwFgxFfyFezFd[lFa\\lF\\]lFg]lFb^lFaqFh^l
-%'CURVESG6$7$7%$\"\"#FjqFfdl$\"\"&Fjq7%$\"\"$Fjq$\"\"'Fjq$\"\"*Fjq-Ff
q6&FhqFjqFjqFjq-Fbdl6$7$7%$\"\"\"Fjq$\"\"%FjqFielFjdlFael-F$6.7&7%$!+q
&*\\^s!#@F_fl$!\"&!\"#7%$\"+)Gdrr\"F0Fffl$!+]+++]F*7%$\"+N'Qzt\"F0$\"+
TfP'p\"F0$!+A]3XSF*7%$\"+)oM\"y?F*$!+!pM\"y?F*$!+s\\3XSF*7&FaglFjfl7%$
\"+9Ay]<F0$\"+iB`$o\"F0$!+>]3X:F*7%$\"+gD\\iLF*$!+gD\\iLF*$!+p\\3X:F*7
&F`hlFigl7%FjglF\\hl$\"+>\\3X:F*7%FahlFchl$\"+p\\3X:F*7&F[ilFhhl7%F[gl
F]gl$\"+A\\3XSF*7%$\"+!pM\"y?F*$!+)oM\"y?F*$\"+s\\3XSF*7&FbilF_il7%Fff
lFffl$\"+]******\\F*7%$\"+q&*\\^sFaflF^jl$FidlFdfl7&F]jlFjil7%F]glF[gl
F`il7%FeilFcilFgil7&FcjlFbjl7%F\\hlFjglFihl7%FchlFahlF\\il7&FfjlFejl7%
F\\hlFjglF^hl7%FchlFahlFehl7&FijlFhjl7%F]glF[glF_gl7%FdglFbglFfgl7&F\\
[mF[[mFeflF^flFaq-Ffq6&FhqFiqF[rFiq-F$6.7%7%FfflFffl$!+0+++5F\\w7%$\"+
++++?F0Fg[m$!+d'*>,e!#>7%$\"+#)*>(e<F0$\"+%f%fv;F0$!+$**p,4)F*7%F\\\\m
Ff[m7%$\"+RrS%y\"F0$\"+Pu!*\\;F0$!+))*p,4$F*7%Fd\\mFf[m7%Fe\\mFg\\m$\"
+)))p,4$F*7%F\\]mFf[m7%F]\\mF_\\m$\"+$*)p,4)F*7%F`]mFf[m7%FfflFffl$\"+
]********F*7%Fd]mFf[m7%F_\\mF]\\mFa]m7%Fh]mFf[m7%Fg\\mFe\\mF]]m7%Fj]mF
f[m7%Fg\\mFe\\mFi\\m7%F\\^mFf[m7%F_\\mF]\\mFa\\m7%F^^mFf[mFc[mFaqF^[m-
F$6%7,Fc[mF\\\\mFd\\mF\\]mF`]mFd]mFh]mFj]mF\\^mF^^mFaqF^[m-F$6%7,F^flF
aglF`hlF[ilFbilF]jlFcjlFfjlFijlF\\[mFaqF^[m-F$6.7&7%$!+KQC([#Fafl$!+I`
(*[**FaflFbfl7%$\"+*\\d)H!*F\\w$\"+,I%>h$F0$!+w+++]F*7%$\"+E_(\\J*F\\w
$\"+e]\"[g$F0$!+[]3XSF*7%$\"+ss<^GF*$!+'=Vz7(FPFfgl7&F\\`mFe_m7%$\"+sw
=\"\\*F\\w$\"+Z(4/g$F0$!+X]3X:F*7%$\"+L<I8YF*$!+LaK`6F*Fehl7&Fi`mFb`m7
%Fc`mFe`m$\"+$*[3X:F*7%Fj`mF\\amF\\il7&FbamF_am7%Ff_mFh_m$\"+'*[3XSF*7
%F]`m$!+qJ%z7(FPFgil7&FgamFdam7%F__mFa_m$\"+C******\\F*7%$\"+KQC([#Faf
l$\"+I`(*[**FaflF`jl7&F^bmF[bm7%$\"+s(RZu)F\\w$\"+W42>OF0Feam7%$!+ss<^
GF*$\"+'=Vz7(FPFgil7&FibmFdbm7%$\"+Et_o&)F\\w$\"+biZBOF0F`am7%$!+L<I8Y
F*$\"+LaK`6F*F\\il7&FdcmF_cm7%F`cmFbcmFg`m7%FecmFgcmFehl7&F[dmFjcm7%Fe
bmFgbmFj_m7%Fjbm$\"+qJ%z7(FPFfgl7&F^dmF]dmF^_mFi^mFaqF^[m-F$6.7%7%F__m
Fa_m$!+3+++5F\\w7%$\"+**********F\\wFg_l$!+L!HmX)F[\\m7%$\"+`H4+'*F\\w
$\"+:ro(f$F0$!+>+<!4)F*7%F]emFhdm7%$\"+Yy^_**F\\w$\"+#\\w))e$F0$!+9+<!
4$F*7%FeemFhdm7%FfemFhem$\"+i)p,4$F*7%F]fmFhdm7%F^emF`em$\"+n)p,4)F*7%
FafmFhdm7%F__mFa_m$\"+C********F*7%FefmFhdm7%$\"+X?if%)F\\w$\"+()))>EO
F0Fbfm7%FifmFhdm7%$\"+_r>2\")F\\w$\"+5&4]j$F0F^fm7%F_gmFhdm7%F`gmFbgmF
jem7%FegmFhdm7%FjfmF\\gmFbem7%FggmFhdmFedmFaqF^[m-F$6%7,FedmF]emFeemF]
fmFafmFefmFifmF_gmFegmFggmFaqF^[m-F$6%7,Fi^mF\\`mFi`mFbamFgamF^bmFibmF
dcmF[dmF^dmFaqF^[m-Fbdl6$7$7%FfdlFfdlFiq7%F[elF]elFiqFael-Fbdl6$7$7%Fg
elFielFiqFchmFael" 1 2 0 1 10 0 2 1 1 1 2 1.000000 45.000000 
45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve
 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Cu
rve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve \+
19" "Curve 20" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "cat1:=arr
ow(  [0,0,0],   [2,0,5],color=brown,width=.1,head_length=.4):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "cat2:=arrow( [0,0,0],   [1,0
,4],color=brown,width=.1,head_length=.4):" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 45 "cat3:=line(  [2,0,5],   [3,0,9],color=black):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "cat4:=line(  [1,0,4],   [3,0
,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "displa
y(hot1,hot2,hot3,hot4,dog1,dog2,dog3,dog4,cat1,cat2,cat3,cat4);" }}
{PARA 13 "" 1 "" {GLPLOT3D 426 426 426 {PLOTDATA 3 "6@-%)POLYGONSG6.7&
7%$\"+usGxI!#6F($!+?)H=Y#F*7%$\"+\\2^\"*=!\"*F.$\"+!REsi%F07%$\"++]T1>
F0$\"+1B&['=F0$\"+m!G>j%F07%$\"+\"R7xc%F*$\"*8IW6%F*$!+i@m\"*>F*7&F:F3
7%$\"+U@(Q!>F0$\"+\"HAm$=F0$\"+:sBWYF07%$\"+BmU8VF*$!+(\\e:T#F*$!+/DZ2
w!#77&FIFB7%$\"+hM&[)=F0$\"+5Og<=F0$\"+h@XfYF07%$\"+(\\e:T#F*$!+BmU8VF
*$\"+/DZ2wFP7&FYFR7%$\"+YMic=F0$\"+_21:=F0$\"+58wrYF07%$!*8IW6%F*$!+\"
R7xc%F*$\"+i@m\"*>F*7&FboF[o7%$\"+.]'*H=F0F[p$\"+')HYwYF07%$!+usGxIF*F
`p$\"+?)H=Y#F*7&F_pFjo7%F^oF\\oF`o7%FeoFcoFgo7&FfpFep7%FUFSFW7%FfnFZFh
n7&FipFhp7%FEFCFG7%FLFJFN7&F\\qF[q7%F6F4F87%F=F;F?7&F_qF^qF-F'-%&STYLE
G6#%,PATCHNOGRIDG-%'COLOURG6&%$RGBG$\"\"!FjqFiq$\"*++++\"!\")-F$6.7%7%
$\"+@OGA>F0Fbr$\"+#43Eg%F07%$\"+,+++?F0Fgr$\"+++++]F07%$\"+C@4_>F0$\"+
On'*o=F0$\"+X9,7YF07%F[sFfr7%$\"+3k+Z>F0$\"+1n]7=F0$\"+V(Hmj%F07%FcsFf
r7%$\"+Y!p*3>F0$\"+W$pWx\"F0$\"+L'fqm%F07%F[tFfr7%$\"+;!4D&=F0$\"+GOQp
<F0$\"+Jzn\"p%F07%FctFfr7%$\"+J@>*z\"F0F\\u$\"+%G\"3,ZF07%F[uFfr7%FftF
dtFht7%FauFfr7%F^tF\\tF`t7%FcuFfr7%FfsFdsFhs7%FeuFfr7%F^sF\\sF`s7%FguF
frFarFaqFeq-F$6%7,FarF[sFcsF[tFctF[uFauFcuFeuFguFaqFeq-F$6%7,F'F:FIFYF
boF_pFfpFipF\\qF_qFaqFeq-F$6.7&7%$\"+:m+W%)FP$\"+[EgxLF*$!+8Gq)e$F*7%$
\"+S%H\")Q*!#5$\"+x<DbPF0$\"+B()e&o$F07%$\"+]07d'*F\\w$\"+(=t;u$F0$\"+
NDW#p$F07%$\"+d<JMNF*$\"+COu>?F*$!+k:K.HF*7&FhwFaw7%$\"+jH6\"z*F\\w$\"
+j)z.s$F0$\"+\\gQ5PF07%$\"+()eBu[F*$!*<))e4\"F*$!+b,(*36F*7&FgxF`x7%$
\"+Kh#*Q(*F\\w$\"+J^]*p$F0$\"+`acKPF07%$\"+zvO_VF*$!+\\?1(>#F*$\"+b,(*
36F*7&FfyF_y7%$\"+`O\\?&*F\\w$\"+GC-(o$F0$\"+n*30v$F07%$\"+(yU!o@F*$!+
gALXMF*$\"+k:K.HF*7&FezF^z7%$\"+3$\\#>#*F\\w$\"+D(*p(o$F0$\"+zFOdPF07%
$!+:m+W%)FP$!+[EgxLF*$\"+8Gq)e$F*7&Fd[lF][l7%$\"+)>e-&*)F\\w$\"+:$y7q$
F0Fcz7%$!+d<JMNF*$!+COu>?F*Fjz7&Fa\\lF\\\\l7%$\"+&yli\"))F\\w$\"+R;dAP
F0Fdy7%$!+()eBu[F*$\"*<))e4\"F*F[z7&F\\]lFg\\l7%$\"+;EXo))F\\w$\"+rjWV
PF0Fex7%$!+zvO_VF*$\"+\\?1(>#F*F\\y7&Fg]lFb]l7%$\"+&4&)o3*F\\w$\"+u!Hf
v$F0Ffw7%$!+(yU!o@F*$\"+gALXMF*F]x7&Fb^lF]^lFivFbvFaq-Ffq6&FhqF[rFiqFi
q-F$6.7%7%$\"+1&pDZ*F\\w$\"+/y-*y$F0$\"+&p,(\\OF07%$\"+)*********F\\w$
\"+,+++SF0$\"+++++SF07%$\"+t^0,5F0$\"+B1(=w$F0$\"+?$4Mm$F07%F[`lFd_l7%
$\"+bO&y-\"F0$\"+vRG>PF0$\"+[jH*p$F07%Fc`lFd_l7%$\"+*G;u,\"F0$\"+5X`xO
F0$\"+a^lVPF07%F[alFd_l7%$\"+JzHP(*F\\w$\"+1\"pDl$F0$\"+#=U&zPF07%Fcal
Fd_l7%$\"+U#4[8*F\\w$\"+)pBRl$F0$\"+2)\\Kz$F07%F[blFd_l7%$\"+Bq#of)F\\
w$\"+z33\"o$F0Fhal7%FcblFd_l7%$\"+'>U)G$)F\\w$\"+FvmBPF0F`al7%FiblFd_l
7%$\"+ee@L%)F\\w$\"+#*pTlPF0Fh`l7%F_clFd_l7%$\"+<33q))F\\w$\"+'R#Q!z$F
0F``l7%FeclFd_lF]_lFaqFh^l-F$6%7,F]_lF[`lFc`lF[alFcalF[blFcblFiblF_clF
eclFaqFh^l-F$6%7,FbvFhwFgxFfyFezFd[lFa\\lF\\]lFg]lFb^lFaqFh^l-%'CURVES
G6$7$7%$\"\"#FjqFfdl$\"\"&Fjq7%$\"\"$Fjq$\"\"'Fjq$\"\"*Fjq-Ffq6&FhqFjq
FjqFjq-Fbdl6$7$7%$\"\"\"Fjq$\"\"%FjqFielFjdlFael-F$6.7&7%$!+q&*\\^s!#@
F_fl$!\"&!\"#7%$\"+)Gdrr\"F0Fffl$!+]+++]F*7%$\"+N'Qzt\"F0$\"+TfP'p\"F0
$!+A]3XSF*7%$\"+)oM\"y?F*$!+!pM\"y?F*$!+s\\3XSF*7&FaglFjfl7%$\"+9Ay]<F
0$\"+iB`$o\"F0$!+>]3X:F*7%$\"+gD\\iLF*$!+gD\\iLF*$!+p\\3X:F*7&F`hlFigl
7%FjglF\\hl$\"+>\\3X:F*7%FahlFchl$\"+p\\3X:F*7&F[ilFhhl7%F[glF]gl$\"+A
\\3XSF*7%$\"+!pM\"y?F*$!+)oM\"y?F*$\"+s\\3XSF*7&FbilF_il7%FfflFffl$\"+
]******\\F*7%$\"+q&*\\^sFaflF^jl$FidlFdfl7&F]jlFjil7%F]glF[glF`il7%Fei
lFcilFgil7&FcjlFbjl7%F\\hlFjglFihl7%FchlFahlF\\il7&FfjlFejl7%F\\hlFjgl
F^hl7%FchlFahlFehl7&FijlFhjl7%F]glF[glF_gl7%FdglFbglFfgl7&F\\[mF[[mFef
lF^flFaq-Ffq6&FhqFiqF[rFiq-F$6.7%7%FfflFffl$!+0+++5F\\w7%$\"+++++?F0Fg
[m$!+d'*>,e!#>7%$\"+#)*>(e<F0$\"+%f%fv;F0$!+$**p,4)F*7%F\\\\mFf[m7%$\"
+RrS%y\"F0$\"+Pu!*\\;F0$!+))*p,4$F*7%Fd\\mFf[m7%Fe\\mFg\\m$\"+)))p,4$F
*7%F\\]mFf[m7%F]\\mF_\\m$\"+$*)p,4)F*7%F`]mFf[m7%FfflFffl$\"+]********
F*7%Fd]mFf[m7%F_\\mF]\\mFa]m7%Fh]mFf[m7%Fg\\mFe\\mF]]m7%Fj]mFf[m7%Fg\\
mFe\\mFi\\m7%F\\^mFf[m7%F_\\mF]\\mFa\\m7%F^^mFf[mFc[mFaqF^[m-F$6%7,Fc[
mF\\\\mFd\\mF\\]mF`]mFd]mFh]mFj]mF\\^mF^^mFaqF^[m-F$6%7,F^flFaglF`hlF[
ilFbilF]jlFcjlFfjlFijlF\\[mFaqF^[m-F$6.7&7%$!+KQC([#Fafl$!+I`(*[**Fafl
Fbfl7%$\"+*\\d)H!*F\\w$\"+,I%>h$F0$!+w+++]F*7%$\"+E_(\\J*F\\w$\"+e]\"[
g$F0$!+[]3XSF*7%$\"+ss<^GF*$!+'=Vz7(FPFfgl7&F\\`mFe_m7%$\"+sw=\"\\*F\\
w$\"+Z(4/g$F0$!+X]3X:F*7%$\"+L<I8YF*$!+LaK`6F*Fehl7&Fi`mFb`m7%Fc`mFe`m
$\"+$*[3X:F*7%Fj`mF\\amF\\il7&FbamF_am7%Ff_mFh_m$\"+'*[3XSF*7%F]`m$!+q
J%z7(FPFgil7&FgamFdam7%F__mFa_m$\"+C******\\F*7%$\"+KQC([#Fafl$\"+I`(*
[**FaflF`jl7&F^bmF[bm7%$\"+s(RZu)F\\w$\"+W42>OF0Feam7%$!+ss<^GF*$\"+'=
Vz7(FPFgil7&FibmFdbm7%$\"+Et_o&)F\\w$\"+biZBOF0F`am7%$!+L<I8YF*$\"+LaK
`6F*F\\il7&FdcmF_cm7%F`cmFbcmFg`m7%FecmFgcmFehl7&F[dmFjcm7%FebmFgbmFj_
m7%Fjbm$\"+qJ%z7(FPFfgl7&F^dmF]dmF^_mFi^mFaqF^[m-F$6.7%7%F__mFa_m$!+3+
++5F\\w7%$\"+**********F\\wFg_l$!+L!HmX)F[\\m7%$\"+`H4+'*F\\w$\"+:ro(f
$F0$!+>+<!4)F*7%F]emFhdm7%$\"+Yy^_**F\\w$\"+#\\w))e$F0$!+9+<!4$F*7%Fee
mFhdm7%FfemFhem$\"+i)p,4$F*7%F]fmFhdm7%F^emF`em$\"+n)p,4)F*7%FafmFhdm7
%F__mFa_m$\"+C********F*7%FefmFhdm7%$\"+X?if%)F\\w$\"+()))>EOF0Fbfm7%F
ifmFhdm7%$\"+_r>2\")F\\w$\"+5&4]j$F0F^fm7%F_gmFhdm7%F`gmFbgmFjem7%Fegm
Fhdm7%FjfmF\\gmFbem7%FggmFhdmFedmFaqF^[m-F$6%7,FedmF]emFeemF]fmFafmFef
mFifmF_gmFegmFggmFaqF^[m-F$6%7,Fi^mF\\`mFi`mFbamFgamF^bmFibmFdcmF[dmF^
dmFaqF^[m-Fbdl6$7$7%FfdlFfdlFiq7%F[elF]elFiqFael-Fbdl6$7$7%FgelFielFiq
FchmFael-F$6.7&7%$\"+aMQUYF*$!+:ao@&*Fafl$!+#Q`p&=F*7%$\"+kv'y*=F0$!+O
0f#*QF[\\m$\"+!zR+h%F07%$\"++9+*)=F0$!+,j#*QHF*$\"+cie8YF07%$\"+3rwbPF
*$!+ji#*QHF*$!+VoI-:F*7&F`jmFiim7%$\"+$[*yl=F0$!+?EGbZF*$\"+A5(Gi%F07%
$\"+y`dM9F*$!+#e#GbZF*$!+;:IQdFP7&F_[nFhjm7%$\"+vz4P=F0F[[n$\"+EwMMYF0
7%$!+!QvXV\"F*Fb[n$\"+;:IQdFP7&F\\\\nFg[n7%$\"+eg)Q\"=F0$!+*HE*QHF*$\"
+#RKOk%F07%$!+5rwbPF*$!+hi#*QHF*$\"+VoI-:F*7&Fi\\nFb\\n7%$\"+%*)>]!=F0
$!+Go:-PF[\\m$\"+e)yrk%F07%$!+aMQUYF*$\"+:ao@&*Fafl$\"+#Q`p&=F*7&Fh]nF
a]n7%Fc\\n$\"+Di#*QHF*Fg\\n7%$!+3rwbPF*$\"+ji#*QHF*F^]n7&Fc^nF`^n7%Fh[
n$\"+WDGbZF*Fj[n7%$!+y`dM9F*$\"+#e#GbZF*F_\\n7&F\\_nFi^n7%FijmFj^nF][n
7%$\"+!QvXV\"F*F__nFd[n7&Fc_nFb_n7%Fjim$\"+Bi#*QHF*F^jm7%$\"+5rwbPF*$
\"+hi#*QHF*Fejm7&Fj_nFg_nFbimF[imFaq-Ffq6&Fhq$\")#)eqkF]r$\"))eqk\"F]r
Fd`n-F$6.7%7%$\"+)R\"HW>F0$!+!R2y)RF[\\m$\"+c-Z\"f%F07%Fg[m$!+:w1-TF[
\\mFir7%$\"+r!fl#>F0$!+kD&y(eF*$\"+(=j&)f%F07%FcanF`an7%$\"+P_8!)=F0$!
+/_c5&*F*$\"+@F8<YF07%F[bnF`an7%$\"+@AvA=F0$!+-_c5&*F*$\"+Ff3SYF07%Fcb
nF`an7%$\"+(QGjx\"F0$!+gD&y(eF*$\"+haleYF07%F[cnF`an7%$\"+ggfe<F0$!+u*
Rpg$F[\\m$\"+#R[dm%F07%FccnF`an7%F\\cn$\"+)[_y(eF*F`cn7%F[dnF`an7%Fdbn
$\"+G^c5&*F*Fhbn7%F_dnF`an7%F\\bn$\"+E^c5&*F*F`bn7%FcdnF`an7%Fdan$\"+%
[_y(eF*Fhan7%FgdnF`anFi`nFaqF``n-F$6%7,Fi`nFcanF[bnFcbnF[cnFccnF[dnF_d
nFcdnFgdnFaqF``n-F$6%7,F[imF`jmF_[nF\\\\nFi\\nFh]nFc^nF\\_nFc_nFj_nFaq
F``n-F$6.7&7%$\"++Dr][F*F\\_m$!+E\"yE@\"F*7%$\"+d(G\\^*F\\w$!+cSa^>F[
\\m$\"+>i\")*f$F07%$\"+#R)GA%*F\\w$!+#GE*QHF*$\"+GA8-OF07%$\"+Z)3V#RF*
Fcjm$!+F@x5)*FP7&FgfnF`fn7%$\"+mFvz\"*F\\w$!+,EGbZF*$\"+>c>3OF07%$\"+%
f_*)\\\"F*Fb[n$!+*[\"QZPFP7&FdgnF]gn7%$\"+ZA'*z))F\\wF`gn$\"+\"Q!p:OF0
7%$!+'f_*)\\\"F*Fb[n$\"+*[\"QZPFP7&F_hnFjgn7%$\"+AmUP')F\\w$!+!GE*QHF*
$\"+sPv@OF07%$!+\\)3V#RF*F\\]n$\"+F@x5)*FP7&F\\inFehn7%$\"+diyW&)F\\w$
!+]Xc_<F[\\m$\"+\"ypSi$F07%$!++Dr][F*Fabm$\"+E\"yE@\"F*7&FiinFbin7%Ffh
n$\"+Wi#*QHF*Fjhn7%$!+Z)3V#RF*Ff^nF_in7&FbjnF_jn7%$\"+[A'*z))F\\w$\"+j
DGbZF*F]hn7%$!+%f_*)\\\"F*F__nFbhn7&F[[oFfjn7%$\"+nFvz\"*F\\wFijnFbgn7
%$\"+'f_*)\\\"F*F__nFggn7&Fb[oF_[o7%Fafn$\"+Ui#*QHF*Fefn7%$\"+\\)3V#RF
*F]`nFjfn7&Fi[oFf[oFienFdenFaqF``n-F$6.7%7%$\"+,+++5F0$!+5Q.^?F[\\m$\"
+P%*o(e$F07%Fa\\o$!+4Q.^?F[\\mFi_l7%$\"+w#>Z\")*F\\w$!+XD&y(eF*$\"+c9K
#f$F07%Fj\\oFg\\o7%$\"+E!['H$*F\\w$!+&=l0^*F*$\"+P#[Wg$F07%Fb]oFg\\o7%
$\"+))p1I()F\\w$!+$=l0^*F*$\"+jxV>OF07%Fj]oFg\\o7%$\"+Pd*\\C)F\\w$!+TD
&y(eF*$\"+WXcJOF07%Fb^oFg\\o7%$\"+2]rf!)F\\w$!+'zuIl\"F[\\m$\"+jl>OOF0
7%Fj^oFg\\o7%$\"+Qd*\\C)F\\w$\"+2D&y(eF*Fg^o7%Fb_oFg\\o7%F[^o$\"+Z^c5&
*F*F_^o7%Fh_oFg\\o7%Fc]o$\"+X^c5&*F*Fg]o7%F\\`oFg\\o7%$\"+x#>Z\")*F\\w
$\"+.D&y(eF*F_]o7%F``oFg\\oF`\\oFaqF``n-F$6%7,F`\\oFj\\oFb]oFj]oFb^oFj
^oFb_oFh_oF\\`oF``oFaqF``n-F$6%7,FdenFgfnFdgnF_hnF\\inFiinFbjnF[[oFb[o
Fi[oFaqF``n-Fbdl6$7$7%FfdlFiqFhdl7%F[elFiqF_elFael-Fbdl6$7$7%FgelFiqFi
elF`aoFael" 1 2 0 1 10 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 0 "C
urve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "C
urve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 1
4" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" "
Curve 21" "Curve 22" "Curve 23" "Curve 24" "Curve 25" "Curve 26" "Curv
e 27" "Curve 28" "Curve 29" "Curve 30" }}}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 71 "t1:=arrow( [0,0,0],  [0,2,5],color=aquamarine,width=.
1,head_length=.4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "t2:=a
rrow( [0,0,0],   [0,4,4],color=aquamarine,width=.1,head_length=.4):" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "t3:=line(  [0,2,5],   [0,6
,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "t4:=li
ne(  [0,4,4],   [0,6,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 81 "display(hot1,hot2,hot3,hot4,dog1,dog2,dog3,dog4,cat1,
cat2,cat3,cat4,t1,t2,t3,t4);" }}{PARA 13 "" 1 "" {GLPLOT3D 426 426 
426 {PLOTDATA 3 "6J-%)POLYGONSG6.7&7%$\"+usGxI!#6F($!+?)H=Y#F*7%$\"+\\
2^\"*=!\"*F.$\"+!REsi%F07%$\"++]T1>F0$\"+1B&['=F0$\"+m!G>j%F07%$\"+\"R
7xc%F*$\"*8IW6%F*$!+i@m\"*>F*7&F:F37%$\"+U@(Q!>F0$\"+\"HAm$=F0$\"+:sBW
YF07%$\"+BmU8VF*$!+(\\e:T#F*$!+/DZ2w!#77&FIFB7%$\"+hM&[)=F0$\"+5Og<=F0
$\"+h@XfYF07%$\"+(\\e:T#F*$!+BmU8VF*$\"+/DZ2wFP7&FYFR7%$\"+YMic=F0$\"+
_21:=F0$\"+58wrYF07%$!*8IW6%F*$!+\"R7xc%F*$\"+i@m\"*>F*7&FboF[o7%$\"+.
]'*H=F0F[p$\"+')HYwYF07%$!+usGxIF*F`p$\"+?)H=Y#F*7&F_pFjo7%F^oF\\oF`o7
%FeoFcoFgo7&FfpFep7%FUFSFW7%FfnFZFhn7&FipFhp7%FEFCFG7%FLFJFN7&F\\qF[q7
%F6F4F87%F=F;F?7&F_qF^qF-F'-%&STYLEG6#%,PATCHNOGRIDG-%'COLOURG6&%$RGBG
$\"\"!FjqFiq$\"*++++\"!\")-F$6.7%7%$\"+@OGA>F0Fbr$\"+#43Eg%F07%$\"+,++
+?F0Fgr$\"+++++]F07%$\"+C@4_>F0$\"+On'*o=F0$\"+X9,7YF07%F[sFfr7%$\"+3k
+Z>F0$\"+1n]7=F0$\"+V(Hmj%F07%FcsFfr7%$\"+Y!p*3>F0$\"+W$pWx\"F0$\"+L'f
qm%F07%F[tFfr7%$\"+;!4D&=F0$\"+GOQp<F0$\"+Jzn\"p%F07%FctFfr7%$\"+J@>*z
\"F0F\\u$\"+%G\"3,ZF07%F[uFfr7%FftFdtFht7%FauFfr7%F^tF\\tF`t7%FcuFfr7%
FfsFdsFhs7%FeuFfr7%F^sF\\sF`s7%FguFfrFarFaqFeq-F$6%7,FarF[sFcsF[tFctF[
uFauFcuFeuFguFaqFeq-F$6%7,F'F:FIFYFboF_pFfpFipF\\qF_qFaqFeq-F$6.7&7%$
\"+:m+W%)FP$\"+[EgxLF*$!+8Gq)e$F*7%$\"+S%H\")Q*!#5$\"+x<DbPF0$\"+B()e&
o$F07%$\"+]07d'*F\\w$\"+(=t;u$F0$\"+NDW#p$F07%$\"+d<JMNF*$\"+COu>?F*$!
+k:K.HF*7&FhwFaw7%$\"+jH6\"z*F\\w$\"+j)z.s$F0$\"+\\gQ5PF07%$\"+()eBu[F
*$!*<))e4\"F*$!+b,(*36F*7&FgxF`x7%$\"+Kh#*Q(*F\\w$\"+J^]*p$F0$\"+`acKP
F07%$\"+zvO_VF*$!+\\?1(>#F*$\"+b,(*36F*7&FfyF_y7%$\"+`O\\?&*F\\w$\"+GC
-(o$F0$\"+n*30v$F07%$\"+(yU!o@F*$!+gALXMF*$\"+k:K.HF*7&FezF^z7%$\"+3$
\\#>#*F\\w$\"+D(*p(o$F0$\"+zFOdPF07%$!+:m+W%)FP$!+[EgxLF*$\"+8Gq)e$F*7
&Fd[lF][l7%$\"+)>e-&*)F\\w$\"+:$y7q$F0Fcz7%$!+d<JMNF*$!+COu>?F*Fjz7&Fa
\\lF\\\\l7%$\"+&yli\"))F\\w$\"+R;dAPF0Fdy7%$!+()eBu[F*$\"*<))e4\"F*F[z
7&F\\]lFg\\l7%$\"+;EXo))F\\w$\"+rjWVPF0Fex7%$!+zvO_VF*$\"+\\?1(>#F*F\\
y7&Fg]lFb]l7%$\"+&4&)o3*F\\w$\"+u!Hfv$F0Ffw7%$!+(yU!o@F*$\"+gALXMF*F]x
7&Fb^lF]^lFivFbvFaq-Ffq6&FhqF[rFiqFiq-F$6.7%7%$\"+1&pDZ*F\\w$\"+/y-*y$
F0$\"+&p,(\\OF07%$\"+)*********F\\w$\"+,+++SF0$\"+++++SF07%$\"+t^0,5F0
$\"+B1(=w$F0$\"+?$4Mm$F07%F[`lFd_l7%$\"+bO&y-\"F0$\"+vRG>PF0$\"+[jH*p$
F07%Fc`lFd_l7%$\"+*G;u,\"F0$\"+5X`xOF0$\"+a^lVPF07%F[alFd_l7%$\"+JzHP(
*F\\w$\"+1\"pDl$F0$\"+#=U&zPF07%FcalFd_l7%$\"+U#4[8*F\\w$\"+)pBRl$F0$
\"+2)\\Kz$F07%F[blFd_l7%$\"+Bq#of)F\\w$\"+z33\"o$F0Fhal7%FcblFd_l7%$\"
+'>U)G$)F\\w$\"+FvmBPF0F`al7%FiblFd_l7%$\"+ee@L%)F\\w$\"+#*pTlPF0Fh`l7
%F_clFd_l7%$\"+<33q))F\\w$\"+'R#Q!z$F0F``l7%FeclFd_lF]_lFaqFh^l-F$6%7,
F]_lF[`lFc`lF[alFcalF[blFcblFiblF_clFeclFaqFh^l-F$6%7,FbvFhwFgxFfyFezF
d[lFa\\lF\\]lFg]lFb^lFaqFh^l-%'CURVESG6$7$7%$\"\"#FjqFfdl$\"\"&Fjq7%$
\"\"$Fjq$\"\"'Fjq$\"\"*Fjq-Ffq6&FhqFjqFjqFjq-Fbdl6$7$7%$\"\"\"Fjq$\"\"
%FjqFielFjdlFael-F$6.7&7%$!+q&*\\^s!#@F_fl$!\"&!\"#7%$\"+)Gdrr\"F0Fffl
$!+]+++]F*7%$\"+N'Qzt\"F0$\"+TfP'p\"F0$!+A]3XSF*7%$\"+)oM\"y?F*$!+!pM
\"y?F*$!+s\\3XSF*7&FaglFjfl7%$\"+9Ay]<F0$\"+iB`$o\"F0$!+>]3X:F*7%$\"+g
D\\iLF*$!+gD\\iLF*$!+p\\3X:F*7&F`hlFigl7%FjglF\\hl$\"+>\\3X:F*7%FahlFc
hl$\"+p\\3X:F*7&F[ilFhhl7%F[glF]gl$\"+A\\3XSF*7%$\"+!pM\"y?F*$!+)oM\"y
?F*$\"+s\\3XSF*7&FbilF_il7%FfflFffl$\"+]******\\F*7%$\"+q&*\\^sFaflF^j
l$FidlFdfl7&F]jlFjil7%F]glF[glF`il7%FeilFcilFgil7&FcjlFbjl7%F\\hlFjglF
ihl7%FchlFahlF\\il7&FfjlFejl7%F\\hlFjglF^hl7%FchlFahlFehl7&FijlFhjl7%F
]glF[glF_gl7%FdglFbglFfgl7&F\\[mF[[mFeflF^flFaq-Ffq6&FhqFiqF[rFiq-F$6.
7%7%FfflFffl$!+0+++5F\\w7%$\"+++++?F0Fg[m$!+d'*>,e!#>7%$\"+#)*>(e<F0$
\"+%f%fv;F0$!+$**p,4)F*7%F\\\\mFf[m7%$\"+RrS%y\"F0$\"+Pu!*\\;F0$!+))*p
,4$F*7%Fd\\mFf[m7%Fe\\mFg\\m$\"+)))p,4$F*7%F\\]mFf[m7%F]\\mF_\\m$\"+$*
)p,4)F*7%F`]mFf[m7%FfflFffl$\"+]********F*7%Fd]mFf[m7%F_\\mF]\\mFa]m7%
Fh]mFf[m7%Fg\\mFe\\mF]]m7%Fj]mFf[m7%Fg\\mFe\\mFi\\m7%F\\^mFf[m7%F_\\mF
]\\mFa\\m7%F^^mFf[mFc[mFaqF^[m-F$6%7,Fc[mF\\\\mFd\\mF\\]mF`]mFd]mFh]mF
j]mF\\^mF^^mFaqF^[m-F$6%7,F^flFaglF`hlF[ilFbilF]jlFcjlFfjlFijlF\\[mFaq
F^[m-F$6.7&7%$!+KQC([#Fafl$!+I`(*[**FaflFbfl7%$\"+*\\d)H!*F\\w$\"+,I%>
h$F0$!+w+++]F*7%$\"+E_(\\J*F\\w$\"+e]\"[g$F0$!+[]3XSF*7%$\"+ss<^GF*$!+
'=Vz7(FPFfgl7&F\\`mFe_m7%$\"+sw=\"\\*F\\w$\"+Z(4/g$F0$!+X]3X:F*7%$\"+L
<I8YF*$!+LaK`6F*Fehl7&Fi`mFb`m7%Fc`mFe`m$\"+$*[3X:F*7%Fj`mF\\amF\\il7&
FbamF_am7%Ff_mFh_m$\"+'*[3XSF*7%F]`m$!+qJ%z7(FPFgil7&FgamFdam7%F__mFa_
m$\"+C******\\F*7%$\"+KQC([#Fafl$\"+I`(*[**FaflF`jl7&F^bmF[bm7%$\"+s(R
Zu)F\\w$\"+W42>OF0Feam7%$!+ss<^GF*$\"+'=Vz7(FPFgil7&FibmFdbm7%$\"+Et_o
&)F\\w$\"+biZBOF0F`am7%$!+L<I8YF*$\"+LaK`6F*F\\il7&FdcmF_cm7%F`cmFbcmF
g`m7%FecmFgcmFehl7&F[dmFjcm7%FebmFgbmFj_m7%Fjbm$\"+qJ%z7(FPFfgl7&F^dmF
]dmF^_mFi^mFaqF^[m-F$6.7%7%F__mFa_m$!+3+++5F\\w7%$\"+**********F\\wFg_
l$!+L!HmX)F[\\m7%$\"+`H4+'*F\\w$\"+:ro(f$F0$!+>+<!4)F*7%F]emFhdm7%$\"+
Yy^_**F\\w$\"+#\\w))e$F0$!+9+<!4$F*7%FeemFhdm7%FfemFhem$\"+i)p,4$F*7%F
]fmFhdm7%F^emF`em$\"+n)p,4)F*7%FafmFhdm7%F__mFa_m$\"+C********F*7%Fefm
Fhdm7%$\"+X?if%)F\\w$\"+()))>EOF0Fbfm7%FifmFhdm7%$\"+_r>2\")F\\w$\"+5&
4]j$F0F^fm7%F_gmFhdm7%F`gmFbgmFjem7%FegmFhdm7%FjfmF\\gmFbem7%FggmFhdmF
edmFaqF^[m-F$6%7,FedmF]emFeemF]fmFafmFefmFifmF_gmFegmFggmFaqF^[m-F$6%7
,Fi^mF\\`mFi`mFbamFgamF^bmFibmFdcmF[dmF^dmFaqF^[m-Fbdl6$7$7%FfdlFfdlFi
q7%F[elF]elFiqFael-Fbdl6$7$7%FgelFielFiqFchmFael-F$6.7&7%$\"+aMQUYF*$!
+:ao@&*Fafl$!+#Q`p&=F*7%$\"+kv'y*=F0$!+O0f#*QF[\\m$\"+!zR+h%F07%$\"++9
+*)=F0$!+,j#*QHF*$\"+cie8YF07%$\"+3rwbPF*$!+ji#*QHF*$!+VoI-:F*7&F`jmFi
im7%$\"+$[*yl=F0$!+?EGbZF*$\"+A5(Gi%F07%$\"+y`dM9F*$!+#e#GbZF*$!+;:IQd
FP7&F_[nFhjm7%$\"+vz4P=F0F[[n$\"+EwMMYF07%$!+!QvXV\"F*Fb[n$\"+;:IQdFP7
&F\\\\nFg[n7%$\"+eg)Q\"=F0$!+*HE*QHF*$\"+#RKOk%F07%$!+5rwbPF*$!+hi#*QH
F*$\"+VoI-:F*7&Fi\\nFb\\n7%$\"+%*)>]!=F0$!+Go:-PF[\\m$\"+e)yrk%F07%$!+
aMQUYF*$\"+:ao@&*Fafl$\"+#Q`p&=F*7&Fh]nFa]n7%Fc\\n$\"+Di#*QHF*Fg\\n7%$
!+3rwbPF*$\"+ji#*QHF*F^]n7&Fc^nF`^n7%Fh[n$\"+WDGbZF*Fj[n7%$!+y`dM9F*$
\"+#e#GbZF*F_\\n7&F\\_nFi^n7%FijmFj^nF][n7%$\"+!QvXV\"F*F__nFd[n7&Fc_n
Fb_n7%Fjim$\"+Bi#*QHF*F^jm7%$\"+5rwbPF*$\"+hi#*QHF*Fejm7&Fj_nFg_nFbimF
[imFaq-Ffq6&Fhq$\")#)eqkF]r$\"))eqk\"F]rFd`n-F$6.7%7%$\"+)R\"HW>F0$!+!
R2y)RF[\\m$\"+c-Z\"f%F07%Fg[m$!+:w1-TF[\\mFir7%$\"+r!fl#>F0$!+kD&y(eF*
$\"+(=j&)f%F07%FcanF`an7%$\"+P_8!)=F0$!+/_c5&*F*$\"+@F8<YF07%F[bnF`an7
%$\"+@AvA=F0$!+-_c5&*F*$\"+Ff3SYF07%FcbnF`an7%$\"+(QGjx\"F0$!+gD&y(eF*
$\"+haleYF07%F[cnF`an7%$\"+ggfe<F0$!+u*Rpg$F[\\m$\"+#R[dm%F07%FccnF`an
7%F\\cn$\"+)[_y(eF*F`cn7%F[dnF`an7%Fdbn$\"+G^c5&*F*Fhbn7%F_dnF`an7%F\\
bn$\"+E^c5&*F*F`bn7%FcdnF`an7%Fdan$\"+%[_y(eF*Fhan7%FgdnF`anFi`nFaqF``
n-F$6%7,Fi`nFcanF[bnFcbnF[cnFccnF[dnF_dnFcdnFgdnFaqF``n-F$6%7,F[imF`jm
F_[nF\\\\nFi\\nFh]nFc^nF\\_nFc_nFj_nFaqF``n-F$6.7&7%$\"++Dr][F*F\\_m$!
+E\"yE@\"F*7%$\"+d(G\\^*F\\w$!+cSa^>F[\\m$\"+>i\")*f$F07%$\"+#R)GA%*F
\\w$!+#GE*QHF*$\"+GA8-OF07%$\"+Z)3V#RF*Fcjm$!+F@x5)*FP7&FgfnF`fn7%$\"+
mFvz\"*F\\w$!+,EGbZF*$\"+>c>3OF07%$\"+%f_*)\\\"F*Fb[n$!+*[\"QZPFP7&Fdg
nF]gn7%$\"+ZA'*z))F\\wF`gn$\"+\"Q!p:OF07%$!+'f_*)\\\"F*Fb[n$\"+*[\"QZP
FP7&F_hnFjgn7%$\"+AmUP')F\\w$!+!GE*QHF*$\"+sPv@OF07%$!+\\)3V#RF*F\\]n$
\"+F@x5)*FP7&F\\inFehn7%$\"+diyW&)F\\w$!+]Xc_<F[\\m$\"+\"ypSi$F07%$!++
Dr][F*Fabm$\"+E\"yE@\"F*7&FiinFbin7%Ffhn$\"+Wi#*QHF*Fjhn7%$!+Z)3V#RF*F
f^nF_in7&FbjnF_jn7%$\"+[A'*z))F\\w$\"+jDGbZF*F]hn7%$!+%f_*)\\\"F*F__nF
bhn7&F[[oFfjn7%$\"+nFvz\"*F\\wFijnFbgn7%$\"+'f_*)\\\"F*F__nFggn7&Fb[oF
_[o7%Fafn$\"+Ui#*QHF*Fefn7%$\"+\\)3V#RF*F]`nFjfn7&Fi[oFf[oFienFdenFaqF
``n-F$6.7%7%$\"+,+++5F0$!+5Q.^?F[\\m$\"+P%*o(e$F07%Fa\\o$!+4Q.^?F[\\mF
i_l7%$\"+w#>Z\")*F\\w$!+XD&y(eF*$\"+c9K#f$F07%Fj\\oFg\\o7%$\"+E!['H$*F
\\w$!+&=l0^*F*$\"+P#[Wg$F07%Fb]oFg\\o7%$\"+))p1I()F\\w$!+$=l0^*F*$\"+j
xV>OF07%Fj]oFg\\o7%$\"+Pd*\\C)F\\w$!+TD&y(eF*$\"+WXcJOF07%Fb^oFg\\o7%$
\"+2]rf!)F\\w$!+'zuIl\"F[\\m$\"+jl>OOF07%Fj^oFg\\o7%$\"+Qd*\\C)F\\w$\"
+2D&y(eF*Fg^o7%Fb_oFg\\o7%F[^o$\"+Z^c5&*F*F_^o7%Fh_oFg\\o7%Fc]o$\"+X^c
5&*F*Fg]o7%F\\`oFg\\o7%$\"+x#>Z\")*F\\w$\"+.D&y(eF*F_]o7%F``oFg\\oF`\\
oFaqF``n-F$6%7,F`\\oFj\\oFb]oFj]oFb^oFj^oFb_oFh_oF\\`oF``oFaqF``n-F$6%
7,FdenFgfnFdgnF_hnF\\inFiinFbjnF[[oFb[oFi[oFaqF``n-Fbdl6$7$7%FfdlFiqFh
dl7%F[elFiqF_elFael-Fbdl6$7$7%FgelFiqFielF`aoFael-F$6.7&7%FiqF\\imF`im
7%FiqFcimFgim7%$\"+ii#*QHF*FjimF^jm7%F[bo$\"+4rwbPF*Fejm7&F]boFjao7%F_
_nFijmF][n7%F__n$\"+z`dM9F*Fd[n7&FbboFabo7%F__nFh[nFj[n7%F__n$!+z`dM9F
*F_\\n7&FgboFfbo7%F[boFc\\nFg\\n7%F[bo$!+4rwbPF*F^]n7&F\\coF[co7%FiqFb
]nFf]n7%FiqFi]nF]^n7&FacoF`co7%$!+ii#*QHF*Fc\\nFg\\n7%FdcoF]coF^]n7&Ff
coFcco7%Fb[nFh[nFj[n7%Fb[nFhboF_\\n7&FicoFhco7%Fb[nFijmF][n7%Fb[nFcboF
d[n7&F\\doF[do7%FdcoFjimF^jm7%FdcoF^boFejm7&F_doF^doFiaoFhaoFaq-Ffq6&F
hq$\")p:#R%F]r$\")`B)e)F]r$\")fqkdF]r-F$6.7%7%FiqFj`nF^an7%FiqFg[mFir7
%$\"+CD&y(eF*FdanFhan7%F^eoF]eo7%$\"+l^c5&*F*F\\bnF`bn7%FbeoF]eo7%Fceo
FdbnFhbn7%FfeoF]eo7%F_eoF\\cnF`cn7%FheoF]eo7%FiqFdcnFhcn7%FjeoF]eo7%$!
+CD&y(eF*F\\cnF`cn7%F\\foF]eo7%$!+l^c5&*F*FdbnFhbn7%F`foF]eo7%FafoF\\b
nF`bn7%FdfoF]eo7%F]foFdanFhan7%FffoF]eoF\\eoFaqFado-F$6%7,F\\eoF^eoFbe
oFfeoFheoFjeoF\\foF`foFdfoFffoFaqFado-F$6%7,FhaoF]boFbboFgboF\\coFacoF
fcoFicoF\\doF_doFaqFado-F$6.7&7%Fiq$\"+1R`NNF*$!+1R`NNF*7%Fiq$\"+EE^_P
F0$\"+[>!=o$F07%F[bo$\"+d.wXPF0$\"+<Ub)o$F07%F[bo$\"+9qIgGF*$!+9qIgGF*
7&F`hoF[ho7%F__n$\"+)o#3GPF0$\"+')=B1PF07%F__n$\"+f+a#4\"F*$!+f+a#4\"F
*7&F[ioFfho7%F__nFihoFgho7%F__nF^ioF\\io7&FbioFaio7%F[boF^hoF\\ho7%F[b
oFchoFaho7&FeioFdio7%FiqFigoFggo7%FiqFdgoFbgo7&FhioFgio7%FdcoF^hoF\\ho
7%FdcoFchoFaho7&F[joFjio7%Fb[nFihoFgho7%Fb[nF^ioF\\io7&F^joF]jo7%Fb[nF
ghoFiho7%Fb[nF\\ioF^io7&FajoF`jo7%FdcoF\\hoF^ho7%FdcoFahoFcho7&FdjoFcj
oFfgoFagoFaqFado-F$6.7%7%Fiq$\"+lz'yy$F0$\"+4mWYOF07%FiqFi_lFi_l7%F_eo
$\"+FMOuPF0$\"+Z6&*fOF07%F_[pF^[p7%Fceo$\"+)33!RPF0$\"+'[1`p$F07%Fe[pF
^[p7%FceoFh[pFf[p7%F[\\pF^[p7%F_eoFb[pF`[p7%F]\\pF^[p7%FiqF\\[pFjjo7%F
_\\pF^[p7%F]foFb[pF`[p7%Fa\\pF^[p7%FafoFh[pFf[p7%Fc\\pF^[p7%FafoFf[pFh
[p7%Fe\\pF^[p7%F]foF`[pFb[p7%Fg\\pF^[pFijoFaqFado-F$6%7,FijoF_[pFe[pF[
\\pF]\\pF_\\pFa\\pFc\\pFe\\pFg\\pFaqFado-F$6%7,FagoF`hoF[ioFbioFeioFhi
oF[joF^joFajoFdjoFaqFado-Fbdl6$7$7%FiqFfdlFhdl7%FiqF]elF_elFael-Fbdl6$
7$7%FiqFielFielFc]pFael" 1 2 0 1 10 0 2 1 1 1 2 1.000000 45.000000 
45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve
 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Cu
rve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve \+
19" "Curve 20" "Curve 21" "Curve 22" "Curve 23" "Curve 24" "Curve 25" 
"Curve 26" "Curve 27" "Curve 28" "Curve 29" "Curve 30" "Curve 31" "Cur
ve 32" "Curve 33" "Curve 34" "Curve 35" "Curve 36" "Curve 37" "Curve 3
8" "Curve 39" "Curve 40" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 
"apple:=polygonplot3d([[0,0,0],[2,2,5],[3,6,9],[1,4,4]],color=tan):" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "display(hot1,hot2,hot3,hot
4,dog1,dog2,dog3,dog4,cat1,cat2,cat3,cat4,t1,t2,t3,t4,apple);" }}
{PARA 13 "" 1 "" {GLPLOT3D 426 426 426 {PLOTDATA 3 "6K-%)POLYGONSG6.7&
7%$\"+usGxI!#6F($!+?)H=Y#F*7%$\"+\\2^\"*=!\"*F.$\"+!REsi%F07%$\"++]T1>
F0$\"+1B&['=F0$\"+m!G>j%F07%$\"+\"R7xc%F*$\"*8IW6%F*$!+i@m\"*>F*7&F:F3
7%$\"+U@(Q!>F0$\"+\"HAm$=F0$\"+:sBWYF07%$\"+BmU8VF*$!+(\\e:T#F*$!+/DZ2
w!#77&FIFB7%$\"+hM&[)=F0$\"+5Og<=F0$\"+h@XfYF07%$\"+(\\e:T#F*$!+BmU8VF
*$\"+/DZ2wFP7&FYFR7%$\"+YMic=F0$\"+_21:=F0$\"+58wrYF07%$!*8IW6%F*$!+\"
R7xc%F*$\"+i@m\"*>F*7&FboF[o7%$\"+.]'*H=F0F[p$\"+')HYwYF07%$!+usGxIF*F
`p$\"+?)H=Y#F*7&F_pFjo7%F^oF\\oF`o7%FeoFcoFgo7&FfpFep7%FUFSFW7%FfnFZFh
n7&FipFhp7%FEFCFG7%FLFJFN7&F\\qF[q7%F6F4F87%F=F;F?7&F_qF^qF-F'-%&STYLE
G6#%,PATCHNOGRIDG-%'COLOURG6&%$RGBG$\"\"!FjqFiq$\"*++++\"!\")-F$6.7%7%
$\"+@OGA>F0Fbr$\"+#43Eg%F07%$\"+,+++?F0Fgr$\"+++++]F07%$\"+C@4_>F0$\"+
On'*o=F0$\"+X9,7YF07%F[sFfr7%$\"+3k+Z>F0$\"+1n]7=F0$\"+V(Hmj%F07%FcsFf
r7%$\"+Y!p*3>F0$\"+W$pWx\"F0$\"+L'fqm%F07%F[tFfr7%$\"+;!4D&=F0$\"+GOQp
<F0$\"+Jzn\"p%F07%FctFfr7%$\"+J@>*z\"F0F\\u$\"+%G\"3,ZF07%F[uFfr7%FftF
dtFht7%FauFfr7%F^tF\\tF`t7%FcuFfr7%FfsFdsFhs7%FeuFfr7%F^sF\\sF`s7%FguF
frFarFaqFeq-F$6%7,FarF[sFcsF[tFctF[uFauFcuFeuFguFaqFeq-F$6%7,F'F:FIFYF
boF_pFfpFipF\\qF_qFaqFeq-F$6.7&7%$\"+:m+W%)FP$\"+[EgxLF*$!+8Gq)e$F*7%$
\"+S%H\")Q*!#5$\"+x<DbPF0$\"+B()e&o$F07%$\"+]07d'*F\\w$\"+(=t;u$F0$\"+
NDW#p$F07%$\"+d<JMNF*$\"+COu>?F*$!+k:K.HF*7&FhwFaw7%$\"+jH6\"z*F\\w$\"
+j)z.s$F0$\"+\\gQ5PF07%$\"+()eBu[F*$!*<))e4\"F*$!+b,(*36F*7&FgxF`x7%$
\"+Kh#*Q(*F\\w$\"+J^]*p$F0$\"+`acKPF07%$\"+zvO_VF*$!+\\?1(>#F*$\"+b,(*
36F*7&FfyF_y7%$\"+`O\\?&*F\\w$\"+GC-(o$F0$\"+n*30v$F07%$\"+(yU!o@F*$!+
gALXMF*$\"+k:K.HF*7&FezF^z7%$\"+3$\\#>#*F\\w$\"+D(*p(o$F0$\"+zFOdPF07%
$!+:m+W%)FP$!+[EgxLF*$\"+8Gq)e$F*7&Fd[lF][l7%$\"+)>e-&*)F\\w$\"+:$y7q$
F0Fcz7%$!+d<JMNF*$!+COu>?F*Fjz7&Fa\\lF\\\\l7%$\"+&yli\"))F\\w$\"+R;dAP
F0Fdy7%$!+()eBu[F*$\"*<))e4\"F*F[z7&F\\]lFg\\l7%$\"+;EXo))F\\w$\"+rjWV
PF0Fex7%$!+zvO_VF*$\"+\\?1(>#F*F\\y7&Fg]lFb]l7%$\"+&4&)o3*F\\w$\"+u!Hf
v$F0Ffw7%$!+(yU!o@F*$\"+gALXMF*F]x7&Fb^lF]^lFivFbvFaq-Ffq6&FhqF[rFiqFi
q-F$6.7%7%$\"+1&pDZ*F\\w$\"+/y-*y$F0$\"+&p,(\\OF07%$\"+)*********F\\w$
\"+,+++SF0$\"+++++SF07%$\"+t^0,5F0$\"+B1(=w$F0$\"+?$4Mm$F07%F[`lFd_l7%
$\"+bO&y-\"F0$\"+vRG>PF0$\"+[jH*p$F07%Fc`lFd_l7%$\"+*G;u,\"F0$\"+5X`xO
F0$\"+a^lVPF07%F[alFd_l7%$\"+JzHP(*F\\w$\"+1\"pDl$F0$\"+#=U&zPF07%Fcal
Fd_l7%$\"+U#4[8*F\\w$\"+)pBRl$F0$\"+2)\\Kz$F07%F[blFd_l7%$\"+Bq#of)F\\
w$\"+z33\"o$F0Fhal7%FcblFd_l7%$\"+'>U)G$)F\\w$\"+FvmBPF0F`al7%FiblFd_l
7%$\"+ee@L%)F\\w$\"+#*pTlPF0Fh`l7%F_clFd_l7%$\"+<33q))F\\w$\"+'R#Q!z$F
0F``l7%FeclFd_lF]_lFaqFh^l-F$6%7,F]_lF[`lFc`lF[alFcalF[blFcblFiblF_clF
eclFaqFh^l-F$6%7,FbvFhwFgxFfyFezFd[lFa\\lF\\]lFg]lFb^lFaqFh^l-%'CURVES
G6$7$7%$\"\"#FjqFfdl$\"\"&Fjq7%$\"\"$Fjq$\"\"'Fjq$\"\"*Fjq-Ffq6&FhqFjq
FjqFjq-Fbdl6$7$7%$\"\"\"Fjq$\"\"%FjqFielFjdlFael-F$6.7&7%$!+q&*\\^s!#@
F_fl$!\"&!\"#7%$\"+)Gdrr\"F0Fffl$!+]+++]F*7%$\"+N'Qzt\"F0$\"+TfP'p\"F0
$!+A]3XSF*7%$\"+)oM\"y?F*$!+!pM\"y?F*$!+s\\3XSF*7&FaglFjfl7%$\"+9Ay]<F
0$\"+iB`$o\"F0$!+>]3X:F*7%$\"+gD\\iLF*$!+gD\\iLF*$!+p\\3X:F*7&F`hlFigl
7%FjglF\\hl$\"+>\\3X:F*7%FahlFchl$\"+p\\3X:F*7&F[ilFhhl7%F[glF]gl$\"+A
\\3XSF*7%$\"+!pM\"y?F*$!+)oM\"y?F*$\"+s\\3XSF*7&FbilF_il7%FfflFffl$\"+
]******\\F*7%$\"+q&*\\^sFaflF^jl$FidlFdfl7&F]jlFjil7%F]glF[glF`il7%Fei
lFcilFgil7&FcjlFbjl7%F\\hlFjglFihl7%FchlFahlF\\il7&FfjlFejl7%F\\hlFjgl
F^hl7%FchlFahlFehl7&FijlFhjl7%F]glF[glF_gl7%FdglFbglFfgl7&F\\[mF[[mFef
lF^flFaq-Ffq6&FhqFiqF[rFiq-F$6.7%7%FfflFffl$!+0+++5F\\w7%$\"+++++?F0Fg
[m$!+d'*>,e!#>7%$\"+#)*>(e<F0$\"+%f%fv;F0$!+$**p,4)F*7%F\\\\mFf[m7%$\"
+RrS%y\"F0$\"+Pu!*\\;F0$!+))*p,4$F*7%Fd\\mFf[m7%Fe\\mFg\\m$\"+)))p,4$F
*7%F\\]mFf[m7%F]\\mF_\\m$\"+$*)p,4)F*7%F`]mFf[m7%FfflFffl$\"+]********
F*7%Fd]mFf[m7%F_\\mF]\\mFa]m7%Fh]mFf[m7%Fg\\mFe\\mF]]m7%Fj]mFf[m7%Fg\\
mFe\\mFi\\m7%F\\^mFf[m7%F_\\mF]\\mFa\\m7%F^^mFf[mFc[mFaqF^[m-F$6%7,Fc[
mF\\\\mFd\\mF\\]mF`]mFd]mFh]mFj]mF\\^mF^^mFaqF^[m-F$6%7,F^flFaglF`hlF[
ilFbilF]jlFcjlFfjlFijlF\\[mFaqF^[m-F$6.7&7%$!+KQC([#Fafl$!+I`(*[**Fafl
Fbfl7%$\"+*\\d)H!*F\\w$\"+,I%>h$F0$!+w+++]F*7%$\"+E_(\\J*F\\w$\"+e]\"[
g$F0$!+[]3XSF*7%$\"+ss<^GF*$!+'=Vz7(FPFfgl7&F\\`mFe_m7%$\"+sw=\"\\*F\\
w$\"+Z(4/g$F0$!+X]3X:F*7%$\"+L<I8YF*$!+LaK`6F*Fehl7&Fi`mFb`m7%Fc`mFe`m
$\"+$*[3X:F*7%Fj`mF\\amF\\il7&FbamF_am7%Ff_mFh_m$\"+'*[3XSF*7%F]`m$!+q
J%z7(FPFgil7&FgamFdam7%F__mFa_m$\"+C******\\F*7%$\"+KQC([#Fafl$\"+I`(*
[**FaflF`jl7&F^bmF[bm7%$\"+s(RZu)F\\w$\"+W42>OF0Feam7%$!+ss<^GF*$\"+'=
Vz7(FPFgil7&FibmFdbm7%$\"+Et_o&)F\\w$\"+biZBOF0F`am7%$!+L<I8YF*$\"+LaK
`6F*F\\il7&FdcmF_cm7%F`cmFbcmFg`m7%FecmFgcmFehl7&F[dmFjcm7%FebmFgbmFj_
m7%Fjbm$\"+qJ%z7(FPFfgl7&F^dmF]dmF^_mFi^mFaqF^[m-F$6.7%7%F__mFa_m$!+3+
++5F\\w7%$\"+**********F\\wFg_l$!+L!HmX)F[\\m7%$\"+`H4+'*F\\w$\"+:ro(f
$F0$!+>+<!4)F*7%F]emFhdm7%$\"+Yy^_**F\\w$\"+#\\w))e$F0$!+9+<!4$F*7%Fee
mFhdm7%FfemFhem$\"+i)p,4$F*7%F]fmFhdm7%F^emF`em$\"+n)p,4)F*7%FafmFhdm7
%F__mFa_m$\"+C********F*7%FefmFhdm7%$\"+X?if%)F\\w$\"+()))>EOF0Fbfm7%F
ifmFhdm7%$\"+_r>2\")F\\w$\"+5&4]j$F0F^fm7%F_gmFhdm7%F`gmFbgmFjem7%Fegm
Fhdm7%FjfmF\\gmFbem7%FggmFhdmFedmFaqF^[m-F$6%7,FedmF]emFeemF]fmFafmFef
mFifmF_gmFegmFggmFaqF^[m-F$6%7,Fi^mF\\`mFi`mFbamFgamF^bmFibmFdcmF[dmF^
dmFaqF^[m-Fbdl6$7$7%FfdlFfdlFiq7%F[elF]elFiqFael-Fbdl6$7$7%FgelFielFiq
FchmFael-F$6.7&7%$\"+aMQUYF*$!+:ao@&*Fafl$!+#Q`p&=F*7%$\"+kv'y*=F0$!+O
0f#*QF[\\m$\"+!zR+h%F07%$\"++9+*)=F0$!+,j#*QHF*$\"+cie8YF07%$\"+3rwbPF
*$!+ji#*QHF*$!+VoI-:F*7&F`jmFiim7%$\"+$[*yl=F0$!+?EGbZF*$\"+A5(Gi%F07%
$\"+y`dM9F*$!+#e#GbZF*$!+;:IQdFP7&F_[nFhjm7%$\"+vz4P=F0F[[n$\"+EwMMYF0
7%$!+!QvXV\"F*Fb[n$\"+;:IQdFP7&F\\\\nFg[n7%$\"+eg)Q\"=F0$!+*HE*QHF*$\"
+#RKOk%F07%$!+5rwbPF*$!+hi#*QHF*$\"+VoI-:F*7&Fi\\nFb\\n7%$\"+%*)>]!=F0
$!+Go:-PF[\\m$\"+e)yrk%F07%$!+aMQUYF*$\"+:ao@&*Fafl$\"+#Q`p&=F*7&Fh]nF
a]n7%Fc\\n$\"+Di#*QHF*Fg\\n7%$!+3rwbPF*$\"+ji#*QHF*F^]n7&Fc^nF`^n7%Fh[
n$\"+WDGbZF*Fj[n7%$!+y`dM9F*$\"+#e#GbZF*F_\\n7&F\\_nFi^n7%FijmFj^nF][n
7%$\"+!QvXV\"F*F__nFd[n7&Fc_nFb_n7%Fjim$\"+Bi#*QHF*F^jm7%$\"+5rwbPF*$
\"+hi#*QHF*Fejm7&Fj_nFg_nFbimF[imFaq-Ffq6&Fhq$\")#)eqkF]r$\"))eqk\"F]r
Fd`n-F$6.7%7%$\"+)R\"HW>F0$!+!R2y)RF[\\m$\"+c-Z\"f%F07%Fg[m$!+:w1-TF[
\\mFir7%$\"+r!fl#>F0$!+kD&y(eF*$\"+(=j&)f%F07%FcanF`an7%$\"+P_8!)=F0$!
+/_c5&*F*$\"+@F8<YF07%F[bnF`an7%$\"+@AvA=F0$!+-_c5&*F*$\"+Ff3SYF07%Fcb
nF`an7%$\"+(QGjx\"F0$!+gD&y(eF*$\"+haleYF07%F[cnF`an7%$\"+ggfe<F0$!+u*
Rpg$F[\\m$\"+#R[dm%F07%FccnF`an7%F\\cn$\"+)[_y(eF*F`cn7%F[dnF`an7%Fdbn
$\"+G^c5&*F*Fhbn7%F_dnF`an7%F\\bn$\"+E^c5&*F*F`bn7%FcdnF`an7%Fdan$\"+%
[_y(eF*Fhan7%FgdnF`anFi`nFaqF``n-F$6%7,Fi`nFcanF[bnFcbnF[cnFccnF[dnF_d
nFcdnFgdnFaqF``n-F$6%7,F[imF`jmF_[nF\\\\nFi\\nFh]nFc^nF\\_nFc_nFj_nFaq
F``n-F$6.7&7%$\"++Dr][F*F\\_m$!+E\"yE@\"F*7%$\"+d(G\\^*F\\w$!+cSa^>F[
\\m$\"+>i\")*f$F07%$\"+#R)GA%*F\\w$!+#GE*QHF*$\"+GA8-OF07%$\"+Z)3V#RF*
Fcjm$!+F@x5)*FP7&FgfnF`fn7%$\"+mFvz\"*F\\w$!+,EGbZF*$\"+>c>3OF07%$\"+%
f_*)\\\"F*Fb[n$!+*[\"QZPFP7&FdgnF]gn7%$\"+ZA'*z))F\\wF`gn$\"+\"Q!p:OF0
7%$!+'f_*)\\\"F*Fb[n$\"+*[\"QZPFP7&F_hnFjgn7%$\"+AmUP')F\\w$!+!GE*QHF*
$\"+sPv@OF07%$!+\\)3V#RF*F\\]n$\"+F@x5)*FP7&F\\inFehn7%$\"+diyW&)F\\w$
!+]Xc_<F[\\m$\"+\"ypSi$F07%$!++Dr][F*Fabm$\"+E\"yE@\"F*7&FiinFbin7%Ffh
n$\"+Wi#*QHF*Fjhn7%$!+Z)3V#RF*Ff^nF_in7&FbjnF_jn7%$\"+[A'*z))F\\w$\"+j
DGbZF*F]hn7%$!+%f_*)\\\"F*F__nFbhn7&F[[oFfjn7%$\"+nFvz\"*F\\wFijnFbgn7
%$\"+'f_*)\\\"F*F__nFggn7&Fb[oF_[o7%Fafn$\"+Ui#*QHF*Fefn7%$\"+\\)3V#RF
*F]`nFjfn7&Fi[oFf[oFienFdenFaqF``n-F$6.7%7%$\"+,+++5F0$!+5Q.^?F[\\m$\"
+P%*o(e$F07%Fa\\o$!+4Q.^?F[\\mFi_l7%$\"+w#>Z\")*F\\w$!+XD&y(eF*$\"+c9K
#f$F07%Fj\\oFg\\o7%$\"+E!['H$*F\\w$!+&=l0^*F*$\"+P#[Wg$F07%Fb]oFg\\o7%
$\"+))p1I()F\\w$!+$=l0^*F*$\"+jxV>OF07%Fj]oFg\\o7%$\"+Pd*\\C)F\\w$!+TD
&y(eF*$\"+WXcJOF07%Fb^oFg\\o7%$\"+2]rf!)F\\w$!+'zuIl\"F[\\m$\"+jl>OOF0
7%Fj^oFg\\o7%$\"+Qd*\\C)F\\w$\"+2D&y(eF*Fg^o7%Fb_oFg\\o7%F[^o$\"+Z^c5&
*F*F_^o7%Fh_oFg\\o7%Fc]o$\"+X^c5&*F*Fg]o7%F\\`oFg\\o7%$\"+x#>Z\")*F\\w
$\"+.D&y(eF*F_]o7%F``oFg\\oF`\\oFaqF``n-F$6%7,F`\\oFj\\oFb]oFj]oFb^oFj
^oFb_oFh_oF\\`oF``oFaqF``n-F$6%7,FdenFgfnFdgnF_hnF\\inFiinFbjnF[[oFb[o
Fi[oFaqF``n-Fbdl6$7$7%FfdlFiqFhdl7%F[elFiqF_elFael-Fbdl6$7$7%FgelFiqFi
elF`aoFael-F$6.7&7%FiqF\\imF`im7%FiqFcimFgim7%$\"+ii#*QHF*FjimF^jm7%F[
bo$\"+4rwbPF*Fejm7&F]boFjao7%F__nFijmF][n7%F__n$\"+z`dM9F*Fd[n7&FbboFa
bo7%F__nFh[nFj[n7%F__n$!+z`dM9F*F_\\n7&FgboFfbo7%F[boFc\\nFg\\n7%F[bo$
!+4rwbPF*F^]n7&F\\coF[co7%FiqFb]nFf]n7%FiqFi]nF]^n7&FacoF`co7%$!+ii#*Q
HF*Fc\\nFg\\n7%FdcoF]coF^]n7&FfcoFcco7%Fb[nFh[nFj[n7%Fb[nFhboF_\\n7&Fi
coFhco7%Fb[nFijmF][n7%Fb[nFcboFd[n7&F\\doF[do7%FdcoFjimF^jm7%FdcoF^boF
ejm7&F_doF^doFiaoFhaoFaq-Ffq6&Fhq$\")p:#R%F]r$\")`B)e)F]r$\")fqkdF]r-F
$6.7%7%FiqFj`nF^an7%FiqFg[mFir7%$\"+CD&y(eF*FdanFhan7%F^eoF]eo7%$\"+l^
c5&*F*F\\bnF`bn7%FbeoF]eo7%FceoFdbnFhbn7%FfeoF]eo7%F_eoF\\cnF`cn7%Fheo
F]eo7%FiqFdcnFhcn7%FjeoF]eo7%$!+CD&y(eF*F\\cnF`cn7%F\\foF]eo7%$!+l^c5&
*F*FdbnFhbn7%F`foF]eo7%FafoF\\bnF`bn7%FdfoF]eo7%F]foFdanFhan7%FffoF]eo
F\\eoFaqFado-F$6%7,F\\eoF^eoFbeoFfeoFheoFjeoF\\foF`foFdfoFffoFaqFado-F
$6%7,FhaoF]boFbboFgboF\\coFacoFfcoFicoF\\doF_doFaqFado-F$6.7&7%Fiq$\"+
1R`NNF*$!+1R`NNF*7%Fiq$\"+EE^_PF0$\"+[>!=o$F07%F[bo$\"+d.wXPF0$\"+<Ub)
o$F07%F[bo$\"+9qIgGF*$!+9qIgGF*7&F`hoF[ho7%F__n$\"+)o#3GPF0$\"+')=B1PF
07%F__n$\"+f+a#4\"F*$!+f+a#4\"F*7&F[ioFfho7%F__nFihoFgho7%F__nF^ioF\\i
o7&FbioFaio7%F[boF^hoF\\ho7%F[boFchoFaho7&FeioFdio7%FiqFigoFggo7%FiqFd
goFbgo7&FhioFgio7%FdcoF^hoF\\ho7%FdcoFchoFaho7&F[joFjio7%Fb[nFihoFgho7
%Fb[nF^ioF\\io7&F^joF]jo7%Fb[nFghoFiho7%Fb[nF\\ioF^io7&FajoF`jo7%FdcoF
\\hoF^ho7%FdcoFahoFcho7&FdjoFcjoFfgoFagoFaqFado-F$6.7%7%Fiq$\"+lz'yy$F
0$\"+4mWYOF07%FiqFi_lFi_l7%F_eo$\"+FMOuPF0$\"+Z6&*fOF07%F_[pF^[p7%Fceo
$\"+)33!RPF0$\"+'[1`p$F07%Fe[pF^[p7%FceoFh[pFf[p7%F[\\pF^[p7%F_eoFb[pF
`[p7%F]\\pF^[p7%FiqF\\[pFjjo7%F_\\pF^[p7%F]foFb[pF`[p7%Fa\\pF^[p7%Fafo
Fh[pFf[p7%Fc\\pF^[p7%FafoFf[pFh[p7%Fe\\pF^[p7%F]foF`[pFb[p7%Fg\\pF^[pF
ijoFaqFado-F$6%7,FijoF_[pFe[pF[\\pF]\\pF_\\pFa\\pFc\\pFe\\pFg\\pFaqFad
o-F$6%7,FagoF`hoF[ioFbioFeioFhioF[joF^joFajoFdjoFaqFado-Fbdl6$7$7%FiqF
fdlFhdl7%FiqF]elF_elFael-Fbdl6$7$7%FiqFielFielFc]pFael-F$6$7&7%FiqFiqF
iqFedlFjdlFfel-Ffq6&FhqFedoFgdoFcdo" 1 2 0 1 10 0 2 1 1 1 2 1.000000 
45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve
 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur
ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1
8" "Curve 19" "Curve 20" "Curve 21" "Curve 22" "Curve 23" "Curve 24" "
Curve 25" "Curve 26" "Curve 27" "Curve 28" "Curve 29" "Curve 30" "Curv
e 31" "Curve 32" "Curve 33" "Curve 34" "Curve 35" "Curve 36" "Curve 37
" "Curve 38" "Curve 39" "Curve 40" "Curve 41" }}}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "s1:=arrow(  [0,0,0],   [2,
2,5],color=blue,width=.22,head_length=.4):" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 67 "s2:=arrow(  [0,0,0],   [1,4,4],color=red,width=.22,
head_length=.4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "s3:=arr
ow(  [0,0,0],   [3,6,1],color=brown,width=.22,head_length=.4):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "l1:=line(  [2,2,0],   [3,6,0
],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "l2:=line
(  [1,4,4],   [3,6,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 77 "apple2:=polygonplot3d([[3,6,1],[5,8,6],[6,12,10],[4,1
0,5]],color=aquamarine):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "apple3:
=polygonplot3d([[0,0,0],[3,6,1],[4,10,5],[1,4,4]],color=coral):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "apple4:=polygonplot3d([[0,0,
0],[3,6,1],[5,8,6],[2,2,5]],color=grey):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 72 "apple5:=polygonplot3d([[1,4,4],[3,6,9],[6,12,10],[4,1
0,5]],color=wheat):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "appl
e6:=polygonplot3d([[2,2,5],[5,8,6],[6,12,10],[3,6,9]],color=maroon):" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "display(s1,s2,s3,apple,ap
ple2,apple3,apple4,apple5,apple6);" }}{PARA 13 "" 1 "" {GLPLOT3D 426 
426 426 {PLOTDATA 3 "64-%)POLYGONSG6.7&7%$\"+/?.qn!#6F($!+0c-;aF*7%$\"
+'>Q%G>!\"*F.$\"+KWo(f%F07%$\"+\\vAh>F0$\"+A'*yp=F0$\"+?\"G!3YF07%$\"+
En*[+\"!#5$\"*FY<0*F*$!+cnl\"Q%F*7&F:F37%$\"+iKjb>F0$\"+*e$o2=F0$\"+[#
3^j%F07%$\"+q&Q&*[*F*$!+%pGaI&F*$!+^Rkt;F*7&FJFC7%$\"+j@z8>F0$\"+!\\Ue
w\"F0$\"+G6eoYF07%$\"+%pGaI&F*$!+q&Q&*[*F*$\"+^Rkt;F*7&FYFR7%$\"+Iho^=
F0$\"+.#[-w\"F0$\"+c7m&p%F07%$!*FY<0*F*$!+En*[+\"F=$\"+cnl\"Q%F*7&FboF
[o7%$\"+cv.$z\"F0F[p$\"+W\\+1ZF07%$!+/?.qnF*F`p$\"+0c-;aF*7&F_pFjo7%F^
oF\\oF`o7%FeoFcoFgo7&FfpFep7%FUFSFW7%FfnFZFhn7&FipFhp7%FFFDFH7%FMFKFO7
&F\\qF[q7%F6F4F87%F>F;F@7&F_qF^qF-F'-%&STYLEG6#%,PATCHNOGRIDG-%'COLOUR
G6&%$RGBG$\"\"!FjqFiq$\"*++++\"!\")-F$6.7%7%$\"+;&Qh*>F0Fbr$\"+wT_VXF0
7%$\"+,+++?F0Fgr$\"+++++]F07%$\"+@srh?F0$\"+o8%)y=F0$\"+`:@kXF07%F[sFf
r7%$\"+Z'G00#F0$\"+-$HYv\"F0$\"+4=P=YF07%FcsFfr7%$\"+]k%o'>F0$\"+0r%4n
\"F0$\"+nvJ&o%F07%F[tFfr7%$\"+%QME%=F0$\"+J&e(f;F0$\"+ByZRZF07%FctFfr7
%$\"+OsLD<F0F\\u$\"++_;gZF07%F[uFfr7%FftFdtFht7%FauFfr7%F^tF\\tF`t7%Fc
uFfr7%FfsFdsFhs7%FeuFfr7%F^sF\\sF`s7%FguFfrFarFaqFeq-F$6%7,FarF[sFcsF[
tFctF[uFauFcuFeuFguFaqFeq-F$6%7,F'F:FJFYFboF_pFfpFipF\\qF_qFaqFeq-F$6.
7&7%$\"+b9od=F*$\"+CesIuF*$!+*=Y^*yF*7%$\"+?vX*[*F=$\"+4Iy&z$F0$\"+*GC
Dk$F07%$\"+'zB\"35F0$\"+6,\"fw$F0$\"+xEgdOF07%$\"+ke[vxF*$\"+tfVVWF*$!
+RuI(Q'F*7&FgwF`w7%$\"+F@gP5F0$\"+(zk!>PF0$\"+3%yqp$F07%$\"+&*=Ls5F=$!
*(R&4T#F*$!+TVtRCF*7&FfxF_x7%$\"+C57E5F0$\"+'QSJn$F0$\"+%4teu$F07%$\"+
r'3_d*F*$!+4l`L[F*$\"+TVtRCF*7&FeyF^y7%$\"+(ye1y*F=$\"+T%yck$F0$\"+D)[
`y$F07%$\"+ITppZF*$!+r4tzvF*$\"+RuI(Q'F*7&FdzF]z7%$\"+G7#z6*F=$\"+$\\o
rk$F0$\"+8sU+QF07%$!+b9od=F*$!+CesIuF*$\"+*=Y^*yF*7&Fc[lF\\[l7%$\"+)yS
h_)F=$\"+\"RTqn$F0Fbz7%$!+ke[vxF*$!+tfVVWF*Fiz7&F`\\lF[\\l7%$\"+zuNJ#)
F=$\"+0n)Qs$F0Fcy7%$!+&*=Ls5F=$\"*(R&4T#F*Fjy7&F[]lFf\\l7%$\"+2&ohM)F=
$\"+;6\")pPF0Fdx7%$!+r'3_d*F*$\"+4l`L[F*F[y7&Ff]lFa]l7%$\"+h*>n#))F=$
\"+hIF(z$F0Few7%$!+ITppZF*$\"+r4tzvF*F\\x7&Fa^lF\\^lFivFbvFaq-Ffq6&Fhq
F[rFiqFiq-F$6.7%7%$\"+lcAv'*F=$\"+o-4qQF0$\"+FGdjNF07%$\"+)*********F=
$\"+,+++SF0$\"+++++SF07%$\"+b'ye3\"F0$\"+qWM5QF0$\"+-'HPf$F07%Fj_lFc_l
7%$\"+;`$[9\"F0$\"+VQl;PF0$\"+k5osOF07%Fb`lFc_l7%$\"+6J(=7\"F0$\"+@]![
i$F0$\"+Q/FqPF07%Fj`lFc_l7%$\"+?GwD5F0$\"+K6))pNF0$\"++>A\\QF07%FbalFc
_l7%$\"+$3`@$*)F=$\"+M7'Gd$F0$\"+v'y$zQF07%FjalFc_l7%$\"+-Af[xF=$\"+Kq
gKOF0Fgal7%FbblFc_l7%$\"+$eD!frF=$\"+fwHEPF0F_al7%FhblFc_l7%$\"+Rwk)Q(
F=$\"+\"[Y\"=QF0Fg`l7%F^clFc_l7%$\"+[0v\\$)F=$\"+q.2tQF0F_`l7%FdclFc_l
F\\_lFaqFg^l-F$6%7,F\\_lFj_lFb`lFj`lFbalFjalFbblFhblF^clFdclFaqFg^l-F$
6%7,FbvFgwFfxFeyFdzFc[lF`\\lF[]lFf]lFa^lFaqFg^l-F$6.7&7%$\"+5_=`s!#7$
\"+Uqj]9F*$!+\"yxz3\"F=7%$\"+QGKIGF0$\"+vckgcF0$\"+(RaAK)F=7%$\"+D!on)
GF0$\"+%**f*GcF0$\"+k'R+`)F=7%$\"+Ws$)pjF*$!+)4Jzr\"F*$!+V^#>!))F*7&Fi
elFbel7%$\"+*f#))=HF0$\"+Ei$Qg&F0$\"+b&GS2*F=7%$\"+UYH\"e*F*$!+[zIIUF*
$!+Li.iLF*7&FhflFafl7%$\"+%))*R9HF0$\"+'zq[f&F0$\"+,eVY(*F=7%$\"+WJ-L
\"*F*$!+W4&o7&F*$\"+Li.iLF*7&FgglF`gl7%$\"+D@.vGF0$\"+%>)[0cF0$\"+pC/H
5F07%$\"+CsC'>&F*$!+O66lSF*$\"+V^#>!))F*7&FfhlF_hl7%$\"+ok\"e\"GF0$\"+
NHjJcF0$\"+'*4#)\\5F07%$!+5_=`sFfdl$!+Uqj]9F*$\"+\"yxz3\"F=7&FeilF^il7
%$\"+\"Gr$fFF0$\"+;'=Lm&F0Fdhl7%$!+Ws$)pjF*$\"+)4Jzr\"F*F[il7&FbjlF]jl
7%$\"+2nDFFF0$\"+%QU%)o&F0Fegl7%$!+UYH\"e*F*$\"+[zIIUF*F\\hl7&F][mFhjl
7%$\"+A%R<t#F0$\"+9yS(p&F0Fffl7%$!+WJ-L\"*F*$\"+W4&o7&F*F]gl7&Fh[mFc[m
7%$\"+\"=26x#F0$\"+;/z'o&F0Fgel7%$!+CsC'>&F*$\"+O66lSF*F^fl7&Fc\\mF^\\
mF[elFcdlFaq-Ffq6&Fhq$\")#)eqkF]r$\"))eqk\"F]rF]]m-F$6.7%7%$\"+BgdPGF0
$\"+Y?:vcF0$\"+;mFMsF=7%$\"+++++IF0$\"+++++gF0$\"+++++5F07%$\"+)Rm/&HF
0$\"+$o!y6cF0$\"+]r%)\\wF=7%F`^mFi]m7%$\"+Ybp9IF0$\"+YJ`hbF0$\"+K\\#yt
)F=7%Fh^mFi]m7%$\"+;,t0IF0$\"+'G-Oa&F0$\"+URE35F07%F`_mFi]m7%$\"+)f%*p
#HF0$\"+#3P[c&F0$\"+@<1<6F07%Fh_mFi]m7%$\"+$Gj&3GF0$\"+kl7<cF0$\"+u(='
e6F07%F``mFi]m7%$\"+3Hn&p#F0$\"+Fz\\!o&F0F]`m7%Fh`mFi]m7%$\"+gPWJEF0$
\"+kauIdF0Fe_m7%F^amFi]m7%$\"+!>4/k#F0$\"+Cjn[dF0F]_m7%FdamFi]m7%$\"+3
Z9>FF0$\"+G:WFdF0Fe^m7%FjamFi]mFb]mFaqFi\\m-F$6%7,Fb]mF`^mFh^mF`_mFh_m
F``mFh`mF^amFdamFjamFaqFi\\m-F$6%7,FcdlFielFhflFgglFfhlFeilFbjlF][mFh[
mFc\\mFaqFi\\m-F$6$7&7%FiqFiqFiq7%$\"\"#FjqF[cm$\"\"&Fjq7%$\"\"$Fjq$\"
\"'Fjq$\"\"*Fjq7%$\"\"\"Fjq$\"\"%FjqFicm-Ffq6&Fhq$\")`B)e)F]r$\")fqkdF
]r$\")p:#R%F]r-F$6$7&7%F`cmFbcmFgcm7%F]cm$\"\")FjqFbcm7%Fbcm$\"#7Fjq$
\"#5Fjq7%FicmF]emF]cm-Ffq6&FhqFadmF]dmF_dm-F$6$7&FibmFfdmF_emFfcm-Ffq6
&FhqF[r$\")AR!)\\F]rFiq-F$6$7&FibmFfdmFgdmFjbm-Ffq6&Fhq$\")=THvF]rF^fm
F^fm-F$6$7&FfcmF_cmFjdmF_em-Ffq6&Fhq$\")#)eq%)F]rFefm$\")h>!\\(F]r-F$6
$7&FjbmFgdmFjdmF_cm-Ffq6&Fhq$\")viobF]r$\")!\\DP\"F]r$\")%yg>%F]r" 1 
2 0 1 10 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve
 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve
 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" 
"Curve 16" "Curve 17" "Curve 18" }}}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 111 "display(s1,s2,s3,apple,appl
e2,apple3,apple4,apple5,apple6,dog1,dog2,dog3,dog4,cat1,cat2,cat3,cat4
,t1,t2,t3,t4);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 13 "" 1 
"" {GLPLOT3D 426 426 426 {PLOTDATA 3 "6R-%)POLYGONSG6.7&7%$\"+/?.qn!#6
F($!+0c-;aF*7%$\"+'>Q%G>!\"*F.$\"+KWo(f%F07%$\"+\\vAh>F0$\"+A'*yp=F0$
\"+?\"G!3YF07%$\"+En*[+\"!#5$\"*FY<0*F*$!+cnl\"Q%F*7&F:F37%$\"+iKjb>F0
$\"+*e$o2=F0$\"+[#3^j%F07%$\"+q&Q&*[*F*$!+%pGaI&F*$!+^Rkt;F*7&FJFC7%$
\"+j@z8>F0$\"+!\\Uew\"F0$\"+G6eoYF07%$\"+%pGaI&F*$!+q&Q&*[*F*$\"+^Rkt;
F*7&FYFR7%$\"+Iho^=F0$\"+.#[-w\"F0$\"+c7m&p%F07%$!*FY<0*F*$!+En*[+\"F=
$\"+cnl\"Q%F*7&FboF[o7%$\"+cv.$z\"F0F[p$\"+W\\+1ZF07%$!+/?.qnF*F`p$\"+
0c-;aF*7&F_pFjo7%F^oF\\oF`o7%FeoFcoFgo7&FfpFep7%FUFSFW7%FfnFZFhn7&FipF
hp7%FFFDFH7%FMFKFO7&F\\qF[q7%F6F4F87%F>F;F@7&F_qF^qF-F'-%&STYLEG6#%,PA
TCHNOGRIDG-%'COLOURG6&%$RGBG$\"\"!FjqFiq$\"*++++\"!\")-F$6.7%7%$\"+;&Q
h*>F0Fbr$\"+wT_VXF07%$\"+,+++?F0Fgr$\"+++++]F07%$\"+@srh?F0$\"+o8%)y=F
0$\"+`:@kXF07%F[sFfr7%$\"+Z'G00#F0$\"+-$HYv\"F0$\"+4=P=YF07%FcsFfr7%$
\"+]k%o'>F0$\"+0r%4n\"F0$\"+nvJ&o%F07%F[tFfr7%$\"+%QME%=F0$\"+J&e(f;F0
$\"+ByZRZF07%FctFfr7%$\"+OsLD<F0F\\u$\"++_;gZF07%F[uFfr7%FftFdtFht7%Fa
uFfr7%F^tF\\tF`t7%FcuFfr7%FfsFdsFhs7%FeuFfr7%F^sF\\sF`s7%FguFfrFarFaqF
eq-F$6%7,FarF[sFcsF[tFctF[uFauFcuFeuFguFaqFeq-F$6%7,F'F:FJFYFboF_pFfpF
ipF\\qF_qFaqFeq-F$6.7&7%$\"+b9od=F*$\"+CesIuF*$!+*=Y^*yF*7%$\"+?vX*[*F
=$\"+4Iy&z$F0$\"+*GCDk$F07%$\"+'zB\"35F0$\"+6,\"fw$F0$\"+xEgdOF07%$\"+
ke[vxF*$\"+tfVVWF*$!+RuI(Q'F*7&FgwF`w7%$\"+F@gP5F0$\"+(zk!>PF0$\"+3%yq
p$F07%$\"+&*=Ls5F=$!*(R&4T#F*$!+TVtRCF*7&FfxF_x7%$\"+C57E5F0$\"+'QSJn$
F0$\"+%4teu$F07%$\"+r'3_d*F*$!+4l`L[F*$\"+TVtRCF*7&FeyF^y7%$\"+(ye1y*F
=$\"+T%yck$F0$\"+D)[`y$F07%$\"+ITppZF*$!+r4tzvF*$\"+RuI(Q'F*7&FdzF]z7%
$\"+G7#z6*F=$\"+$\\ork$F0$\"+8sU+QF07%$!+b9od=F*$!+CesIuF*$\"+*=Y^*yF*
7&Fc[lF\\[l7%$\"+)ySh_)F=$\"+\"RTqn$F0Fbz7%$!+ke[vxF*$!+tfVVWF*Fiz7&F`
\\lF[\\l7%$\"+zuNJ#)F=$\"+0n)Qs$F0Fcy7%$!+&*=Ls5F=$\"*(R&4T#F*Fjy7&F[]
lFf\\l7%$\"+2&ohM)F=$\"+;6\")pPF0Fdx7%$!+r'3_d*F*$\"+4l`L[F*F[y7&Ff]lF
a]l7%$\"+h*>n#))F=$\"+hIF(z$F0Few7%$!+ITppZF*$\"+r4tzvF*F\\x7&Fa^lF\\^
lFivFbvFaq-Ffq6&FhqF[rFiqFiq-F$6.7%7%$\"+lcAv'*F=$\"+o-4qQF0$\"+FGdjNF
07%$\"+)*********F=$\"+,+++SF0$\"+++++SF07%$\"+b'ye3\"F0$\"+qWM5QF0$\"
+-'HPf$F07%Fj_lFc_l7%$\"+;`$[9\"F0$\"+VQl;PF0$\"+k5osOF07%Fb`lFc_l7%$
\"+6J(=7\"F0$\"+@]![i$F0$\"+Q/FqPF07%Fj`lFc_l7%$\"+?GwD5F0$\"+K6))pNF0
$\"++>A\\QF07%FbalFc_l7%$\"+$3`@$*)F=$\"+M7'Gd$F0$\"+v'y$zQF07%FjalFc_
l7%$\"+-Af[xF=$\"+KqgKOF0Fgal7%FbblFc_l7%$\"+$eD!frF=$\"+fwHEPF0F_al7%
FhblFc_l7%$\"+Rwk)Q(F=$\"+\"[Y\"=QF0Fg`l7%F^clFc_l7%$\"+[0v\\$)F=$\"+q
.2tQF0F_`l7%FdclFc_lF\\_lFaqFg^l-F$6%7,F\\_lFj_lFb`lFj`lFbalFjalFbblFh
blF^clFdclFaqFg^l-F$6%7,FbvFgwFfxFeyFdzFc[lF`\\lF[]lFf]lFa^lFaqFg^l-F$
6.7&7%$\"+5_=`s!#7$\"+Uqj]9F*$!+\"yxz3\"F=7%$\"+QGKIGF0$\"+vckgcF0$\"+
(RaAK)F=7%$\"+D!on)GF0$\"+%**f*GcF0$\"+k'R+`)F=7%$\"+Ws$)pjF*$!+)4Jzr
\"F*$!+V^#>!))F*7&FielFbel7%$\"+*f#))=HF0$\"+Ei$Qg&F0$\"+b&GS2*F=7%$\"
+UYH\"e*F*$!+[zIIUF*$!+Li.iLF*7&FhflFafl7%$\"+%))*R9HF0$\"+'zq[f&F0$\"
+,eVY(*F=7%$\"+WJ-L\"*F*$!+W4&o7&F*$\"+Li.iLF*7&FgglF`gl7%$\"+D@.vGF0$
\"+%>)[0cF0$\"+pC/H5F07%$\"+CsC'>&F*$!+O66lSF*$\"+V^#>!))F*7&FfhlF_hl7
%$\"+ok\"e\"GF0$\"+NHjJcF0$\"+'*4#)\\5F07%$!+5_=`sFfdl$!+Uqj]9F*$\"+\"
yxz3\"F=7&FeilF^il7%$\"+\"Gr$fFF0$\"+;'=Lm&F0Fdhl7%$!+Ws$)pjF*$\"+)4Jz
r\"F*F[il7&FbjlF]jl7%$\"+2nDFFF0$\"+%QU%)o&F0Fegl7%$!+UYH\"e*F*$\"+[zI
IUF*F\\hl7&F][mFhjl7%$\"+A%R<t#F0$\"+9yS(p&F0Fffl7%$!+WJ-L\"*F*$\"+W4&
o7&F*F]gl7&Fh[mFc[m7%$\"+\"=26x#F0$\"+;/z'o&F0Fgel7%$!+CsC'>&F*$\"+O66
lSF*F^fl7&Fc\\mF^\\mF[elFcdlFaq-Ffq6&Fhq$\")#)eqkF]r$\"))eqk\"F]rF]]m-
F$6.7%7%$\"+BgdPGF0$\"+Y?:vcF0$\"+;mFMsF=7%$\"+++++IF0$\"+++++gF0$\"++
+++5F07%$\"+)Rm/&HF0$\"+$o!y6cF0$\"+]r%)\\wF=7%F`^mFi]m7%$\"+Ybp9IF0$
\"+YJ`hbF0$\"+K\\#yt)F=7%Fh^mFi]m7%$\"+;,t0IF0$\"+'G-Oa&F0$\"+URE35F07
%F`_mFi]m7%$\"+)f%*p#HF0$\"+#3P[c&F0$\"+@<1<6F07%Fh_mFi]m7%$\"+$Gj&3GF
0$\"+kl7<cF0$\"+u(='e6F07%F``mFi]m7%$\"+3Hn&p#F0$\"+Fz\\!o&F0F]`m7%Fh`
mFi]m7%$\"+gPWJEF0$\"+kauIdF0Fe_m7%F^amFi]m7%$\"+!>4/k#F0$\"+Cjn[dF0F]
_m7%FdamFi]m7%$\"+3Z9>FF0$\"+G:WFdF0Fe^m7%FjamFi]mFb]mFaqFi\\m-F$6%7,F
b]mF`^mFh^mF`_mFh_mF``mFh`mF^amFdamFjamFaqFi\\m-F$6%7,FcdlFielFhflFggl
FfhlFeilFbjlF][mFh[mFc\\mFaqFi\\m-F$6$7&7%FiqFiqFiq7%$\"\"#FjqF[cm$\"
\"&Fjq7%$\"\"$Fjq$\"\"'Fjq$\"\"*Fjq7%$\"\"\"Fjq$\"\"%FjqFicm-Ffq6&Fhq$
\")`B)e)F]r$\")fqkdF]r$\")p:#R%F]r-F$6$7&7%F`cmFbcmFgcm7%F]cm$\"\")Fjq
Fbcm7%Fbcm$\"#7Fjq$\"#5Fjq7%FicmF]emF]cm-Ffq6&FhqFadmF]dmF_dm-F$6$7&Fi
bmFfdmF_emFfcm-Ffq6&FhqF[r$\")AR!)\\F]rFiq-F$6$7&FibmFfdmFgdmFjbm-Ffq6
&Fhq$\")=THvF]rF^fmF^fm-F$6$7&FfcmF_cmFjdmF_em-Ffq6&Fhq$\")#)eq%)F]rFe
fm$\")h>!\\(F]r-F$6$7&FjbmFgdmFjdmF_cm-Ffq6&Fhq$\")viobF]r$\")!\\DP\"F
]r$\")%yg>%F]r-F$6.7&7%$!+q&*\\^s!#@Fhgm$!\"&!\"#7%$\"+)Gdrr\"F0F_hm$!
+]+++]F*7%$\"+N'Qzt\"F0$\"+TfP'p\"F0$!+A]3XSF*7%$\"+)oM\"y?F*$!+!pM\"y
?F*$!+s\\3XSF*7&FjhmFchm7%$\"+9Ay]<F0$\"+iB`$o\"F0$!+>]3X:F*7%$\"+gD\\
iLF*$!+gD\\iLF*$!+p\\3X:F*7&FiimFbim7%FcimFeim$\"+>\\3X:F*7%FjimF\\jm$
\"+p\\3X:F*7&FdjmFajm7%FdhmFfhm$\"+A\\3XSF*7%$\"+!pM\"y?F*$!+)oM\"y?F*
$\"+s\\3XSF*7&F[[nFhjm7%F_hmF_hm$\"+]******\\F*7%$\"+q&*\\^sFjgmFg[n$F
^cmF]hm7&Ff[nFc[n7%FfhmFdhmFijm7%F^[nF\\[nF`[n7&F\\\\nF[\\n7%FeimFcimF
bjm7%F\\jmFjimFejm7&F_\\nF^\\n7%FeimFcimFgim7%F\\jmFjimF^jm7&Fb\\nFa\\
n7%FfhmFdhmFhhm7%F]imF[imF_im7&Fe\\nFd\\nF^hmFggmFaq-Ffq6&FhqFiqF[rFiq
-F$6.7%7%F_hmF_hm$!+0+++5F=7%$\"+++++?F0F`]n$!+d'*>,e!#>7%$\"+#)*>(e<F
0$\"+%f%fv;F0$!+$**p,4)F*7%Fe]nF_]n7%$\"+RrS%y\"F0$\"+Pu!*\\;F0$!+))*p
,4$F*7%F]^nF_]n7%F^^nF`^n$\"+)))p,4$F*7%Fe^nF_]n7%Ff]nFh]n$\"+$*)p,4)F
*7%Fi^nF_]n7%F_hmF_hm$\"+]********F*7%F]_nF_]n7%Fh]nFf]nFj^n7%Fa_nF_]n
7%F`^nF^^nFf^n7%Fc_nF_]n7%F`^nF^^nFb^n7%Fe_nF_]n7%Fh]nFf]nFj]n7%Fg_nF_
]nF\\]nFaqFg\\n-F$6%7,F\\]nFe]nF]^nFe^nFi^nF]_nFa_nFc_nFe_nFg_nFaqFg\\
n-F$6%7,FggmFjhmFiimFdjmF[[nFf[nF\\\\nF_\\nFb\\nFe\\nFaqFg\\n-F$6.7&7%
$!+KQC([#Fjgm$!+I`(*[**FjgmF[hm7%$\"+*\\d)H!*F=$\"+,I%>h$F0$!+w+++]F*7
%$\"+E_(\\J*F=$\"+e]\"[g$F0$!+[]3XSF*7%$\"+ss<^GF*$!+'=Vz7(FfdlF_im7&F
eanF^an7%$\"+sw=\"\\*F=$\"+Z(4/g$F0$!+X]3X:F*7%$\"+L<I8YF*$!+LaK`6F*F^
jm7&FbbnF[bn7%F\\bnF^bn$\"+$*[3X:F*7%FcbnFebnFejm7&F[cnFhbn7%F_anFaan$
\"+'*[3XSF*7%Ffan$!+qJ%z7(FfdlF`[n7&F`cnF]cn7%Fh`nFj`n$\"+C******\\F*7
%$\"+KQC([#Fjgm$\"+I`(*[**FjgmFi[n7&FgcnFdcn7%$\"+s(RZu)F=$\"+W42>OF0F
^cn7%$!+ss<^GF*$\"+'=Vz7(FfdlF`[n7&FbdnF]dn7%$\"+Et_o&)F=$\"+biZBOF0Fi
bn7%$!+L<I8YF*$\"+LaK`6F*Fejm7&F]enFhdn7%FidnF[enF`bn7%F^enF`enF^jm7&F
denFcen7%F^dnF`dnFcan7%Fcdn$\"+qJ%z7(FfdlF_im7&FgenFfenFg`nFb`nFaqFg\\
n-F$6.7%7%Fh`nFj`n$!+3+++5F=7%$\"+**********F=Ff_l$!+L!HmX)Fd]n7%$\"+`
H4+'*F=$\"+:ro(f$F0$!+>+<!4)F*7%FffnFafn7%$\"+Yy^_**F=$\"+#\\w))e$F0$!
+9+<!4$F*7%F^gnFafn7%F_gnFagn$\"+i)p,4$F*7%FfgnFafn7%FgfnFifn$\"+n)p,4
)F*7%FjgnFafn7%Fh`nFj`n$\"+C********F*7%F^hnFafn7%$\"+X?if%)F=$\"+()))
>EOF0F[hn7%FbhnFafn7%$\"+_r>2\")F=$\"+5&4]j$F0Fggn7%FhhnFafn7%FihnF[in
Fcgn7%F^inFafn7%FchnFehnF[gn7%F`inFafnF^fnFaqFg\\n-F$6%7,F^fnFffnF^gnF
fgnFjgnF^hnFbhnFhhnF^inF`inFaqFg\\n-F$6%7,Fb`nFeanFbbnF[cnF`cnFgcnFbdn
F]enFdenFgenFaqFg\\n-%'CURVESG6$7$7%F[cmF[cmFiq7%F`cmFbcmFiq-Ffq6&FhqF
jqFjqFjq-Fiin6$7$7%FgcmFicmFiqF]jnF^jn-F$6.7&7%$\"+aMQUYF*$!+:ao@&*Fjg
m$!+#Q`p&=F*7%$\"+kv'y*=F0$!+O0f#*QFd]n$\"+!zR+h%F07%$\"++9+*)=F0$!+,j
#*QHF*$\"+cie8YF07%$\"+3rwbPF*$!+ji#*QHF*$!+VoI-:F*7&F\\\\oFe[o7%$\"+$
[*yl=F0$!+?EGbZF*$\"+A5(Gi%F07%$\"+y`dM9F*$!+#e#GbZF*$!+;:IQdFfdl7&F[]
oFd\\o7%$\"+vz4P=F0Fg\\o$\"+EwMMYF07%$!+!QvXV\"F*F^]o$\"+;:IQdFfdl7&Fh
]oFc]o7%$\"+eg)Q\"=F0$!+*HE*QHF*$\"+#RKOk%F07%$!+5rwbPF*$!+hi#*QHF*$\"
+VoI-:F*7&Fe^oF^^o7%$\"+%*)>]!=F0$!+Go:-PFd]n$\"+e)yrk%F07%$!+aMQUYF*$
\"+:ao@&*Fjgm$\"+#Q`p&=F*7&Fd_oF]_o7%F_^o$\"+Di#*QHF*Fc^o7%$!+3rwbPF*$
\"+ji#*QHF*Fj^o7&F_`oF\\`o7%Fd]o$\"+WDGbZF*Ff]o7%$!+y`dM9F*$\"+#e#GbZF
*F[^o7&Fh`oFe`o7%Fe\\oFf`oFi\\o7%$\"+!QvXV\"F*F[aoF`]o7&F_aoF^ao7%Ff[o
$\"+Bi#*QHF*Fj[o7%$\"+5rwbPF*$\"+hi#*QHF*Fa\\o7&FfaoFcaoF^[oFgjnFaqFi
\\m-F$6.7%7%$\"+)R\"HW>F0$!+!R2y)RFd]n$\"+c-Z\"f%F07%F`]n$!+:w1-TFd]nF
ir7%$\"+r!fl#>F0$!+kD&y(eF*$\"+(=j&)f%F07%FiboFfbo7%$\"+P_8!)=F0$!+/_c
5&*F*$\"+@F8<YF07%FacoFfbo7%$\"+@AvA=F0$!+-_c5&*F*$\"+Ff3SYF07%FicoFfb
o7%$\"+(QGjx\"F0$!+gD&y(eF*$\"+haleYF07%FadoFfbo7%$\"+ggfe<F0$!+u*Rpg$
Fd]n$\"+#R[dm%F07%FidoFfbo7%Fbdo$\"+)[_y(eF*Ffdo7%FaeoFfbo7%Fjco$\"+G^
c5&*F*F^do7%FeeoFfbo7%Fbco$\"+E^c5&*F*Ffco7%FieoFfbo7%Fjbo$\"+%[_y(eF*
F^co7%F]foFfboF_boFaqFi\\m-F$6%7,F_boFiboFacoFicoFadoFidoFaeoFeeoFieoF
]foFaqFi\\m-F$6%7,FgjnF\\\\oF[]oFh]oFe^oFd_oF_`oFh`oF_aoFfaoFaqFi\\m-F
$6.7&7%$\"++Dr][F*Fe`n$!+E\"yE@\"F*7%$\"+d(G\\^*F=$!+cSa^>Fd]n$\"+>i\"
)*f$F07%$\"+#R)GA%*F=$!+#GE*QHF*$\"+GA8-OF07%$\"+Z)3V#RF*F_\\o$!+F@x5)
*Ffdl7&F]hoFfgo7%$\"+mFvz\"*F=$!+,EGbZF*$\"+>c>3OF07%$\"+%f_*)\\\"F*F^
]o$!+*[\"QZPFfdl7&FjhoFcho7%$\"+ZA'*z))F=Ffho$\"+\"Q!p:OF07%$!+'f_*)\\
\"F*F^]o$\"+*[\"QZPFfdl7&FeioF`io7%$\"+AmUP')F=$!+!GE*QHF*$\"+sPv@OF07
%$!+\\)3V#RF*Fh^o$\"+F@x5)*Ffdl7&FbjoF[jo7%$\"+diyW&)F=$!+]Xc_<Fd]n$\"
+\"ypSi$F07%$!++Dr][F*Fjcn$\"+E\"yE@\"F*7&F_[pFhjo7%F\\jo$\"+Wi#*QHF*F
`jo7%$!+Z)3V#RF*Fb`oFejo7&Fh[pFe[p7%$\"+[A'*z))F=$\"+jDGbZF*Fcio7%$!+%
f_*)\\\"F*F[aoFhio7&Fa\\pF\\\\p7%$\"+nFvz\"*F=F_\\pFhho7%$\"+'f_*)\\\"
F*F[aoF]io7&Fh\\pFe\\p7%Fggo$\"+Ui#*QHF*F[ho7%$\"+\\)3V#RF*FiaoF`ho7&F
_]pF\\]pF_goFjfoFaqFi\\m-F$6.7%7%$\"+,+++5F0$!+5Q.^?Fd]n$\"+P%*o(e$F07
%Fg]p$!+4Q.^?Fd]nFh_l7%$\"+w#>Z\")*F=$!+XD&y(eF*$\"+c9K#f$F07%F`^pF]^p
7%$\"+E!['H$*F=$!+&=l0^*F*$\"+P#[Wg$F07%Fh^pF]^p7%$\"+))p1I()F=$!+$=l0
^*F*$\"+jxV>OF07%F`_pF]^p7%$\"+Pd*\\C)F=$!+TD&y(eF*$\"+WXcJOF07%Fh_pF]
^p7%$\"+2]rf!)F=$!+'zuIl\"Fd]n$\"+jl>OOF07%F``pF]^p7%$\"+Qd*\\C)F=$\"+
2D&y(eF*F]`p7%Fh`pF]^p7%Fa_p$\"+Z^c5&*F*Fe_p7%F^apF]^p7%Fi^p$\"+X^c5&*
F*F]_p7%FbapF]^p7%$\"+x#>Z\")*F=$\"+.D&y(eF*Fe^p7%FfapF]^pFf]pFaqFi\\m
-F$6%7,Ff]pF`^pFh^pF`_pFh_pF``pFh`pF^apFbapFfapFaqFi\\m-F$6%7,FjfoF]ho
FjhoFeioFbjoF_[pFh[pFa\\pFh\\pF_]pFaqFi\\m-Fiin6$7$7%F[cmFiqF]cm7%F`cm
FiqFdcmF^jn-Fiin6$7$7%FgcmFiqFicmFfbpF^jn-F$6.7&7%FiqFhjnF\\[o7%FiqF_[
oFc[o7%$\"+ii#*QHF*Ff[oFj[o7%Facp$\"+4rwbPF*Fa\\o7&FccpF`cp7%F[aoFe\\o
Fi\\o7%F[ao$\"+z`dM9F*F`]o7&FhcpFgcp7%F[aoFd]oFf]o7%F[ao$!+z`dM9F*F[^o
7&F]dpF\\dp7%FacpF_^oFc^o7%Facp$!+4rwbPF*Fj^o7&FbdpFadp7%FiqF^_oFb_o7%
FiqFe_oFi_o7&FgdpFfdp7%$!+ii#*QHF*F_^oFc^o7%FjdpFcdpFj^o7&F\\epFidp7%F
^]oFd]oFf]o7%F^]oF^dpF[^o7&F_epF^ep7%F^]oFe\\oFi\\o7%F^]oFicpF`]o7&Fbe
pFaep7%FjdpFf[oFj[o7%FjdpFdcpFa\\o7&FeepFdepF_cpF^cpFaqF`em-F$6.7%7%Fi
qF`boFdbo7%FiqF`]nFir7%$\"+CD&y(eF*FjboF^co7%F\\fpF[fp7%$\"+l^c5&*F*Fb
coFfco7%F`fpF[fp7%FafpFjcoF^do7%FdfpF[fp7%F]fpFbdoFfdo7%FffpF[fp7%FiqF
jdoF^eo7%FhfpF[fp7%$!+CD&y(eF*FbdoFfdo7%FjfpF[fp7%$!+l^c5&*F*FjcoF^do7
%F^gpF[fp7%F_gpFbcoFfco7%FbgpF[fp7%F[gpFjboF^co7%FdgpF[fpFjepFaqF`em-F
$6%7,FjepF\\fpF`fpFdfpFffpFhfpFjfpF^gpFbgpFdgpFaqF`em-F$6%7,F^cpFccpFh
cpF]dpFbdpFgdpF\\epF_epFbepFeepFaqF`em-F$6.7&7%Fiq$\"+1R`NNF*$!+1R`NNF
*7%Fiq$\"+EE^_PF0$\"+[>!=o$F07%Facp$\"+d.wXPF0$\"+<Ub)o$F07%Facp$\"+9q
IgGF*$!+9qIgGF*7&F^ipFihp7%F[ao$\"+)o#3GPF0$\"+')=B1PF07%F[ao$\"+f+a#4
\"F*$!+f+a#4\"F*7&FiipFdip7%F[aoFgipFeip7%F[aoF\\jpFjip7&F`jpF_jp7%Fac
pF\\ipFjhp7%FacpFaipF_ip7&FcjpFbjp7%FiqFghpFehp7%FiqFbhpF`hp7&FfjpFejp
7%FjdpF\\ipFjhp7%FjdpFaipF_ip7&FijpFhjp7%F^]oFgipFeip7%F^]oF\\jpFjip7&
F\\[qF[[q7%F^]oFeipFgip7%F^]oFjipF\\jp7&F_[qF^[q7%FjdpFjhpF\\ip7%FjdpF
_ipFaip7&Fb[qFa[qFdhpF_hpFaqF`em-F$6.7%7%Fiq$\"+lz'yy$F0$\"+4mWYOF07%F
iqFh_lFh_l7%F]fp$\"+FMOuPF0$\"+Z6&*fOF07%F]\\qF\\\\q7%Fafp$\"+)33!RPF0
$\"+'[1`p$F07%Fc\\qF\\\\q7%FafpFf\\qFd\\q7%Fi\\qF\\\\q7%F]fpF`\\qF^\\q
7%F[]qF\\\\q7%FiqFj[qFh[q7%F]]qF\\\\q7%F[gpF`\\qF^\\q7%F_]qF\\\\q7%F_g
pFf\\qFd\\q7%Fa]qF\\\\q7%F_gpFd\\qFf\\q7%Fc]qF\\\\q7%F[gpF^\\qF`\\q7%F
e]qF\\\\qFg[qFaqF`em-F$6%7,Fg[qF]\\qFc\\qFi\\qF[]qF]]qF_]qFa]qFc]qFe]q
FaqF`em-F$6%7,F_hpF^ipFiipF`jpFcjpFfjpFijpF\\[qF_[qFb[qFaqF`em-Fiin6$7
$7%FiqF[cmF]cm7%FiqFbcmFdcmF^jn-Fiin6$7$7%FiqFicmFicmFa^qF^jn" 1 2 0 
1 10 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" 
"Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" 
"Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Cur
ve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" "Curve 21" "Curve 2
2" "Curve 23" "Curve 24" "Curve 25" "Curve 26" "Curve 27" "Curve 28" "
Curve 29" "Curve 30" "Curve 31" "Curve 32" "Curve 33" "Curve 34" "Curv
e 35" "Curve 36" "Curve 37" "Curve 38" "Curve 39" "Curve 40" "Curve 41
" "Curve 42" "Curve 43" "Curve 44" "Curve 45" "Curve 46" "Curve 47" "C
urve 48" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "st1:=line( [3,0
,0],  [3,2,5],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
43 "st2:=line( [3,0,0],   [3,4,4],color=black):" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 44 "st3:=line(  [3,2,5],   [3,6,9],color=black):" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "st4:=line(  [3,4,4],   [3
,6,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "st5:
=line(  [0,6,9],   [3,6,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 44 "st6:=line(  [0,2,5],   [3,2,5],color=black):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "st7:=line(  [0,4,4],   [3,4,
4],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 90 "display(apple,apple2,apple3,apple4,apple5,apple6,t1
,t2,t3,t4,st1,st2,st3,st4,st5,st6,st7);" }}{PARA 13 "" 1 "" {GLPLOT3D 
426 426 426 {PLOTDATA 3 "69-%)POLYGONSG6$7&7%$\"\"!F)F(F(7%$\"\"#F)F+$
\"\"&F)7%$\"\"$F)$\"\"'F)$\"\"*F)7%$\"\"\"F)$\"\"%F)F9-%'COLOURG6&%$RG
BG$\")`B)e)!\")$\")fqkdFA$\")p:#R%FA-F$6$7&7%F0F2F77%F-$\"\")F)F27%F2$
\"#7F)$\"#5F)7%F9FPF--F<6&F>FDF?FB-F$6$7&F'FIFRF6-F<6&F>$\"*++++\"FA$
\")AR!)\\FAF(-F$6$7&F'FIFJF*-F<6&F>$\")=THvFAF]oF]o-F$6$7&F6F/FMFR-F<6
&F>$\")#)eq%)FAFdo$\")h>!\\(FA-F$6$7&F*FJFMF/-F<6&F>$\")viobFA$\")!\\D
P\"FA$\")%yg>%FA-F$6.7&7%F($\"+aMQUY!#6$!+#Q`p&=Fip7%F($\"+kv'y*=!\"*$
\"+!zR+h%F_q7%$\"+ii#*QHFip$\"++9+*)=F_q$\"+cie8YF_q7%Fcq$\"+4rwbPFip$
!+VoI-:Fip7&FiqFbq7%$\"+#e#GbZFip$\"+$[*yl=F_q$\"+A5(Gi%F_q7%F`r$\"+z`
dM9Fip$!+;:IQd!#77&FfrF_r7%F`r$\"+vz4P=F_q$\"+EwMMYF_q7%F`r$!+z`dM9Fip
$\"+;:IQdF[s7&FbsF]s7%Fcq$\"+eg)Q\"=F_q$\"+#RKOk%F_q7%Fcq$!+4rwbPFip$
\"+VoI-:Fip7&F]tFhs7%F($\"+%*)>]!=F_q$\"+e)yrk%F_q7%F($!+aMQUYFip$\"+#
Q`p&=Fip7&FhtFct7%$!+ii#*QHFipFisF[t7%F_uF^tF`t7&FauF^u7%$!+#e#GbZFipF
^sF`s7%FduFcsFes7&FfuFcu7%FduFbrFdr7%FduFgrFir7&FiuFhu7%F_uFeqFgq7%F_u
FjqF\\r7&F\\vF[vF\\qFfp-%&STYLEG6#%,PATCHNOGRIDGFS-F$6.7%7%F($\"+)R\"H
W>F_q$\"+c-Z\"f%F_q7%F($\"+++++?F_q$\"+++++]F_q7%$\"+CD&y(eFip$\"+r!fl
#>F_q$\"+(=j&)f%F_q7%F_wFjv7%$\"+l^c5&*Fip$\"+P_8!)=F_q$\"+@F8<YF_q7%F
gwFjv7%Fhw$\"+@AvA=F_q$\"+Ff3SYF_q7%F_xFjv7%F`w$\"+(QGjx\"F_q$\"+haleY
F_q7%FexFjv7%F($\"+ggfe<F_q$\"+#R[dm%F_q7%F[yFjv7%$!+CD&y(eFipFfxFhx7%
FayFjv7%$!+l^c5&*FipF`xFbx7%FeyFjv7%FfyFjwF\\x7%FiyFjv7%FbyFbwFdw7%F[z
FjvFevF^vFS-F$6%7,FevF_wFgwF_xFexF[yFayFeyFiyF[zF^vFS-F$6%7,FfpFiqFfrF
bsF]tFhtFauFfuFiuF\\vF^vFS-F$6.7&7%F($\"+1R`NNFip$!+1R`NNFip7%F($\"+EE
^_PF_q$\"+[>!=o$F_q7%Fcq$\"+d.wXPF_q$\"+<Ub)o$F_q7%Fcq$\"+9qIgGFip$!+9
qIgGFip7&Fe[lF`[l7%F`r$\"+)o#3GPF_q$\"+')=B1PF_q7%F`r$\"+f+a#4\"Fip$!+
f+a#4\"Fip7&F`\\lF[\\l7%F`rF^\\lF\\\\l7%F`rFc\\lFa\\l7&Fg\\lFf\\l7%Fcq
Fc[lFa[l7%FcqFh[lFf[l7&Fj\\lFi\\l7%F(F^[lF\\[l7%F(FizFgz7&F]]lF\\]l7%F
_uFc[lFa[l7%F_uFh[lFf[l7&F`]lF_]l7%FduF^\\lF\\\\l7%FduFc\\lFa\\l7&Fc]l
Fb]l7%FduF\\\\lF^\\l7%FduFa\\lFc\\l7&Ff]lFe]l7%F_uFa[lFc[l7%F_uFf[lFh[
l7&Fi]lFh]lF[[lFfzF^vFS-F$6.7%7%F($\"+lz'yy$F_q$\"+4mWYOF_q7%F($\"++++
+SF_qFd^l7%F`w$\"+FMOuPF_q$\"+Z6&*fOF_q7%Ff^lFc^l7%Fhw$\"+)33!RPF_q$\"
+'[1`p$F_q7%F\\_lFc^l7%FhwF__lF]_l7%Fb_lFc^l7%F`wFi^lFg^l7%Fd_lFc^l7%F
(Fa^lF_^l7%Ff_lFc^l7%FbyFi^lFg^l7%Fh_lFc^l7%FfyF__lF]_l7%Fj_lFc^l7%Ffy
F]_lF__l7%F\\`lFc^l7%FbyFg^lFi^l7%F^`lFc^lF^^lF^vFS-F$6%7,F^^lFf^lF\\_
lFb_lFd_lFf_lFh_lFj_lF\\`lF^`lF^vFS-F$6%7,FfzFe[lF`\\lFg\\lFj\\lF]]lF`
]lFc]lFf]lFi]lF^vFS-%'CURVESG6$7$7%F(F+F-7%F(F2F4-F<6&F>F)F)F)-Fg`l6$7
$7%F(F9F9F[alF\\al-Fg`l6$7$7%F0F(F(7%F0F+F-F\\al-Fg`l6$7$Feal7%F0F9F9F
\\al-Fg`l6$7$FfalF/F\\al-Fg`l6$7$FjalF/F\\al-Fg`l6$7$F[alF/F\\al-Fg`l6
$7$Fj`lFfalF\\al-Fg`l6$7$FaalFjalF\\al" 1 2 0 1 10 0 2 1 1 4 1 
1.000000 82.000000 -33.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve
 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curv
e 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17
" "Curve 18" "Curve 19" "Curve 20" "Curve 21" "Curve 22" "Curve 23" }}
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "tt1:
=line( [0,6,0],  [2,6,5],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 43 "tt2:=line( [0,6,0],   [1,6,4],color=black):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "tt3:=line(  [2,6,5],   [3,6,
9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "tt4:=li
ne(  [1,6,4],   [3,6,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 44 "tt5:=line(  [2,6,5],   [2,0,5],color=black):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "tt6:=line(  [1,6,4],   [1,0,
4],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "tt7:=li
ne(  [3,6,9],   [3,0,9],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 98 "display(apple,apple2,apple3,apple4,apple5,apple6,cat1
,cat2,cat3,cat4,tt1,tt2,tt3,tt4,tt5,tt6,tt7);" }}{PARA 13 "" 1 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "pt1:=line( \+
[0,0,1],  [2,2,1],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 43 "pt2:=line( [0,0,1],   [1,4,1],color=black):" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 44 "pt3:=line(  [2,2,1],   [3,6,1],color=blac
k):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "pt4:=line(  [1,4,1],
   [3,6,1],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 
"pt5:=line(  [2,2,1],   [2,2,0],color=black):" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 44 "pt6:=line(  [1,4,1],   [1,4,0],color=black):" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "pt7:=line(  [3,6,0],   [3,6
,1],color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 98 "displa
y(apple,apple2,apple3,apple4,apple5,apple6,dog1,dog2,dog3,dog4,pt1,pt2
,pt3,pt4,pt5,pt6,pt7);" }}{PARA 13 "" 1 "" {GLPLOT3D 426 426 426 
{PLOTDATA 3 "69-%)POLYGONSG6$7&7%$\"\"!F)F(F(7%$\"\"#F)F+$\"\"&F)7%$\"
\"$F)$\"\"'F)$\"\"*F)7%$\"\"\"F)$\"\"%F)F9-%'COLOURG6&%$RGBG$\")`B)e)!
\")$\")fqkdFA$\")p:#R%FA-F$6$7&7%F0F2F77%F-$\"\")F)F27%F2$\"#7F)$\"#5F
)7%F9FPF--F<6&F>FDF?FB-F$6$7&F'FIFRF6-F<6&F>$\"*++++\"FA$\")AR!)\\FAF(
-F$6$7&F'FIFJF*-F<6&F>$\")=THvFAF]oF]o-F$6$7&F6F/FMFR-F<6&F>$\")#)eq%)
FAFdo$\")h>!\\(FA-F$6$7&F*FJFMF/-F<6&F>$\")viobFA$\")!\\DP\"FA$\")%yg>
%FA-F$6.7&7%$!+q&*\\^s!#@Fgp$!\"&!\"#7%$\"+)Gdrr\"!\"*F^q$!+]+++]!#67%
$\"+N'Qzt\"F`q$\"+TfP'p\"F`q$!+A]3XSFcq7%$\"+)oM\"y?Fcq$!+!pM\"y?Fcq$!
+s\\3XSFcq7&F[rFdq7%$\"+9Ay]<F`q$\"+iB`$o\"F`q$!+>]3X:Fcq7%$\"+gD\\iLF
cq$!+gD\\iLFcq$!+p\\3X:Fcq7&FjrFcr7%FdrFfr$\"+>\\3X:Fcq7%F[sF]s$\"+p\\
3X:Fcq7&FesFbs7%FeqFgq$\"+A\\3XSFcq7%$\"+!pM\"y?Fcq$!+)oM\"y?Fcq$\"+s
\\3XSFcq7&F\\tFis7%F^qF^q$\"+]******\\Fcq7%$\"+q&*\\^sFipFht$F.F\\q7&F
gtFdt7%FgqFeqFjs7%F_tF]tFat7&F]uF\\u7%FfrFdrFcs7%F]sF[sFfs7&F`uF_u7%Ff
rFdrFhr7%F]sF[sF_s7&FcuFbu7%FgqFeqFiq7%F^rF\\rF`r7&FfuFeuF]qFfp-%&STYL
EG6#%,PATCHNOGRIDG-F<6&F>F(FZF(-F$6.7%7%F^qF^q$!+0+++5!#57%$\"+++++?F`
qFfv$!+d'*>,e!#>7%$\"+#)*>(e<F`q$\"+%f%fv;F`q$!+$**p,4)Fcq7%F[wFev7%$
\"+RrS%y\"F`q$\"+Pu!*\\;F`q$!+))*p,4$Fcq7%FcwFev7%FdwFfw$\"+)))p,4$Fcq
7%F[xFev7%F\\wF^w$\"+$*)p,4)Fcq7%F_xFev7%F^qF^q$\"+]********Fcq7%FcxFe
v7%F^wF\\wF`x7%FgxFev7%FfwFdwF\\x7%FixFev7%FfwFdwFhw7%F[yFev7%F^wF\\wF
`w7%F]yFevFavFhuF\\v-F$6%7,FavF[wFcwF[xF_xFcxFgxFixF[yF]yFhuF\\v-F$6%7
,FfpF[rFjrFesF\\tFgtF]uF`uFcuFfuFhuF\\v-F$6.7&7%$!+KQC([#Fip$!+I`(*[**
FipFjp7%$\"+*\\d)H!*Fdv$\"+,I%>h$F`q$!+w+++]Fcq7%$\"+E_(\\J*Fdv$\"+e]
\"[g$F`q$!+[]3XSFcq7%$\"+ss<^GFcq$!+'=Vz7(!#7F`r7&F[[lFdz7%$\"+sw=\"\\
*Fdv$\"+Z(4/g$F`q$!+X]3X:Fcq7%$\"+L<I8YFcq$!+LaK`6FcqF_s7&Fi[lFb[l7%Fc
[lFe[l$\"+$*[3X:Fcq7%Fj[lF\\\\lFfs7&Fb\\lF_\\l7%FezFgz$\"+'*[3XSFcq7%F
\\[l$!+qJ%z7(F`[lFat7&Fg\\lFd\\l7%F^zF`z$\"+C******\\Fcq7%$\"+KQC([#Fi
p$\"+I`(*[**FipFjt7&F^]lF[]l7%$\"+s(RZu)Fdv$\"+W42>OF`qFe\\l7%$!+ss<^G
Fcq$\"+'=Vz7(F`[lFat7&Fi]lFd]l7%$\"+Et_o&)Fdv$\"+biZBOF`qF`\\l7%$!+L<I
8YFcq$\"+LaK`6FcqFfs7&Fd^lF_^l7%F`^lFb^lFg[l7%Fe^lFg^lF_s7&F[_lFj^l7%F
e]lFg]lFiz7%Fj]l$\"+qJ%z7(F`[lF`r7&F^_lF]_lF]zFhyFhuF\\v-F$6.7%7%F^zF`
z$!+3+++5Fdv7%$\"+**********Fdv$\"+,+++SF`q$!+L!HmX)Fjv7%$\"+`H4+'*Fdv
$\"+:ro(f$F`q$!+>+<!4)Fcq7%F_`lFh_l7%$\"+Yy^_**Fdv$\"+#\\w))e$F`q$!+9+
<!4$Fcq7%Fg`lFh_l7%Fh`lFj`l$\"+i)p,4$Fcq7%F_alFh_l7%F``lFb`l$\"+n)p,4)
Fcq7%FcalFh_l7%F^zF`z$\"+C********Fcq7%FgalFh_l7%$\"+X?if%)Fdv$\"+()))
>EOF`qFdal7%F[blFh_l7%$\"+_r>2\")Fdv$\"+5&4]j$F`qF`al7%FablFh_l7%FbblF
dblF\\al7%FgblFh_l7%F\\blF^blFd`l7%FiblFh_lFe_lFhuF\\v-F$6%7,Fe_lF_`lF
g`lF_alFcalFgalF[blFablFgblFiblFhuF\\v-F$6%7,FhyF[[lFi[lFb\\lFg\\lF^]l
Fi]lFd^lF[_lF^_lFhuF\\v-%'CURVESG6$7$7%F+F+F(7%F0F2F(-F<6&F>F)F)F)-Fbc
l6$7$7%F7F9F(FfclFgcl-Fbcl6$7$7%F(F(F77%F+F+F7Fgcl-Fbcl6$7$F`dl7%F7F9F
7Fgcl-Fbcl6$7$FadlFIFgcl-Fbcl6$7$FedlFIFgcl-Fbcl6$7$FadlFeclFgcl-Fbcl6
$7$FedlF\\dlFgcl-Fbcl6$7$FfclFIFgcl" 1 2 0 1 10 0 2 1 1 4 2 1.000000 
67.000000 44.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve
 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur
ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1
8" "Curve 19" "Curve 20" "Curve 21" "Curve 22" "Curve 23" }}}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "[2,2,5]
[1,4,4]        [3,6,1]" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 
7 "" 1 "" {TEXT -1 32 "Warning, premature end of input\n" }}}}{MARK "1
14 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 
1 }