{\f0\b\fs24\fi0\li0\ql\gray0 MODELS OF HEAT CONDUCTION }
{\f1\b\fs24\fi0\li0\ql\gray0 }
[512c]{\rtf0\ansi{\fonttbl\f0\froman Times;}
\margl40
\margr40
{\f0\b\fs20\fi0\li0\ql\gray0 Figure 1.}
{\f0\fs20\fi0\li0\ql\gray0 Two examples of solutions to the heat conduction equation. a) Thermal evolution of a dike and adjacent contact aureole. b) Different thermal conductivities across the boundary, K}
{\f0\fs18\fi0\li0\ql\gray0 \dn8 1}
{\f0\fs20\fi0\li0\ql\gray0 \dn8 }
{\f0\fs20\fi0\li0\ql\gray0 > K}
{\f0\fs18\fi0\li0\ql\gray0 \dn8 2 }
{\f0\fs18\fi0\li0\ql\gray0 .}
{\f0\fs20\fi0\li0\ql\gray0 }
[91c]{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 (b)}
{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 (a)}
{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 50000 yr}
[94c]{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 100 yr}
{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 K}
{\f1\fs22\fi0\li0\ql\gray0 \dn8 2}
[154c]{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 K}
{\f1\fs22\fi0\li0\ql\gray0 \dn8 1}
{\f1\fs24\fi0\li0\ql\gray0 }
[119c]{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs22\fi0\li0\ql\gray0 Distance from contact (meters)}
{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 T/T}
{\f1\fs24\fi0\li0\ql\gray0 \dn8 o}
[20419c]%!PS-Adobe-2.0 EPSF-1.2
%%BoundingBox: 0 0 282 174
%%Creator: Mathematica
%%Title: Clipboard
%%CreationDate: Never Never
%%EndComments
50 dict begin
/Mnodistort true def
/pageDashArray [4] def
/nullDashArray [] def
% Compute the minimum of two numbers.
/Mmin { % p q Mmin min(p,q)
2 copy % p q p q
gt % p q p>q?
{ exch } if % min(p,q) max(p,q)
pop % min(p,q)
} bind def
% Compute the maximum of two numbers.
/Mmax { % p q Mmax max(p,q)
2 copy % p q p q
lt % p q p<q?
{ exch } if % max(p,q) min(p,q)
pop % max(p,q)
} bind def
/Mpstart {
MathPictureStart
} bind def
/Mpend {
MathPictureEnd
} bind def
/Mscale {
0 1 0 1
5 -1 roll
MathScale
} bind def
/Plain
/Courier findfont
/Bold
/Courier-Bold findfont
/Italic
/Courier-Oblique findfont
/MathPictureStart {
gsave
newpath
/Mtmatrix
matrix currentmatrix
Plain
Mfontsize scalefont
setfont
0 setgray 0 setlinewidth
} bind def
/MathPictureEnd {
grestore
} bind def
/Mdot {
moveto
0 0 rlineto
stroke
} def
/Mtetra {
moveto
lineto
lineto
lineto
fill
} def
/Metetra {
moveto
lineto
lineto
lineto
closepath
gsave
fill
grestore
0 setgray
stroke
} def
/Mistroke {
flattenpath
0 0 0
4 2 roll
pop pop
4 -1 roll
2 index
sub dup mul
4 -1 roll
2 index
sub dup mul
add sqrt
4 -1 roll
3 1 roll
stop
stop
pathforall
pop pop
currentpoint
stroke
moveto
currentdash
3 -1 roll
setdash
} def
/Mfstroke {
stroke
currentdash
pop 0
setdash
} def
/Msboxa {
newpath
5 -1 roll
Mvboxa
6 -1 roll
5 -1 roll
4 -1 roll
Msboxa1
5 -3 roll
Msboxa1
7 -2 roll
[ 2 index 2 index
10 -1 roll
9 -1 roll
6 1 roll
5 -2 roll
} bind def
/Msboxa1 {
2 div
2 index
1 add
3 -1 roll
-1 add
3 -1 roll
} bind def
/Mvboxa {
gsave
newpath
[ true
3 -1 roll
Mbbox
5 -1 roll
5 1 roll
7 -1 roll
exch sub
(m) stringwidth pop
.3 mul
7 1 roll
6 -1 roll
4 -1 roll
Mmin
3 -1 roll
5 index
5 -1 roll
4 -1 roll
Mmax
4 -1 roll
ifelse
false
forall
{ stop } if
counttomark
1 add
4 roll
grestore
} bind def
/Mbbox {
0 0 moveto
false charpath
flattenpath
pathbbox
newpath
} bind def
/Mmin {
2 copy
{ exch } if
} bind def
/Mmax {
2 copy
{ exch } if
} bind def
/Mshowa {
4 -2 roll
moveto
2 index
Mtmatrix setmatrix
Mvboxa
7 1 roll
6 -1 roll
5 -1 roll
4 -1 roll
Mshowa1
4 1 roll
Mshowa1
rmoveto
currentpoint
4 index length
-1 add
2 index
4 index
2 index
3 index
moveto
4 index
exch get
show
} for
pop pop pop pop
Mgmatrix setmatrix
} bind def
/Mshowa1 {
2 copy
4 1 roll
-2 div
} bind def
/MathScale {
Mwidth
Mheight
translate
scale
/Mgmatrix
matrix currentmatrix
/Msaveaa exch def
/Msavebb exch def
/Msavecc exch def
/Msavedd exch def
} bind def
/Mlp {
3 copy
Mlpfirst
Mnodistort
Mmin
} if
4 index
2 index
2 index
Mlprun
11 index
11 -1 roll
10 -4 roll
Mlp1
8 index
9 -5 roll
Mlp1
4 -1 roll
{ exit } if
3 -1 roll
pop pop
} loop
exch
3 1 roll
7 -3 roll
pop pop pop
} bind def
/Mlpfirst {
3 -1 roll
dup length
2 copy
-2 add
aload
pop pop pop
4 -2 roll
-1 add
aload
pop pop pop
6 -1 roll
3 -1 roll
5 -1 roll
dup /MsaveAx exch def
4 1 roll
exch sub
dup /MsaveAy exch def
} bind def
/Mlprun {
2 copy
4 index
0 get
4 1 roll
Mlprun1
3 copy
8 -2 roll
9 -1 roll
3 copy
Mlprun1
3 copy
11 -3 roll
/gt Mlpminmax
8 3 roll
11 -3 roll
/lt Mlpminmax
8 3 roll
} forall
pop pop pop pop
3 1 roll
pop pop
aload pop
5 -1 roll
aload pop
exch
6 -1 roll
Mlprun2
8 2 roll
4 -1 roll
Mlprun2
6 2 roll
3 -1 roll
Mlprun2
4 2 roll
exch
Mlprun2
6 2 roll
} bind def
/Mlprun1 {
aload pop
exch
6 -1 roll
5 -1 roll
mul add
4 -2 roll
3 -1 roll
} bind def
/Mlprun2 {
2 copy
add 2 div
3 1 roll
exch sub
} bind def
/Mlpminmax {
2 index
6 index
2 index
exec
7 -3 roll
4 -1 roll
} if
1 index
5 index
3 -1 roll
exec
4 1 roll
5 -1 roll
aload
pop pop
4 -1 roll
aload pop
8 -2 roll
5 -2 roll
6 -2 roll
5 -1 roll
4 1 roll
pop pop pop
} ifelse
} bind def
/Mlp1 {
5 index
3 index sub
5 index
2 index mul
1 index
1 index
0 le
1 index
3 index div
.99999 mul
8 -1 roll
7 1 roll
8 -1 roll
2 div
7 -2 roll
pop sub
5 index
6 -3 roll
pop pop
mul sub
exch
} bind def
/Mfontsize 12 def
/Mleft 0.000000 def
/Mbottom 174.000000 def
/Mwidth 282.000000 def
/Mheight 174.000000 def
currentscreen 3 1 roll pop pop 400.0000 45.0000 3 -1 roll setscreen
/Courier findfont 12 scalefont setfont
%%Creator: Mathematica
%%AspectRatio: 0.61803
MathPictureStart
% Scaling calculations
0.5 0.00024 0.01472 0.5886 [
[(-2000)] 0.02381 0.00222 0 1 Msboxa
[(-1000)] 0.2619 0.00222 0 1 Msboxa
[(1000)] 0.7381 0.00222 0 1 Msboxa
[(2000)] 0.97619 0.00222 0 1 Msboxa
[(0.2)] 0.4875 0.13244 1 0 Msboxa
[(0.4)] 0.4875 0.25016 1 0 Msboxa
[(0.6)] 0.4875 0.36788 1 0 Msboxa
[(0.8)] 0.4875 0.4856 1 0 Msboxa
[(1)] 0.4875 0.60332 1 0 Msboxa
[ -0.001 -0.001 0 0 ]
[ 1.001 0.61903 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
%%Object: Graphics
[ ] 0 setdash
0 setgray
gsave
gsave
0.002 setlinewidth
0 0.01472 moveto
1 0.01472 lineto
stroke
0.02381 0.00847 moveto
0.02381 0.02097 lineto
stroke
0 setgray
[(-2000)] 0.02381 0.00222 0 1 Mshowa
0.2619 0.00847 moveto
0.2619 0.02097 lineto
stroke
0 setgray
[(-1000)] 0.2619 0.00222 0 1 Mshowa
0.7381 0.00847 moveto
0.7381 0.02097 lineto
stroke
0 setgray
[(1000)] 0.7381 0.00222 0 1 Mshowa
0.97619 0.00847 moveto
0.97619 0.02097 lineto
stroke
0 setgray
[(2000)] 0.97619 0.00222 0 1 Mshowa
0.5 0 moveto
0.5 0.61803 lineto
stroke
0.49375 0.13244 moveto
0.50625 0.13244 lineto
stroke
0 setgray
[(0.2)] 0.4875 0.13244 1 0 Mshowa
0.49375 0.25016 moveto
0.50625 0.25016 lineto
stroke
0 setgray
[(0.4)] 0.4875 0.25016 1 0 Mshowa
0.49375 0.36788 moveto
0.50625 0.36788 lineto
stroke
0 setgray
[(0.6)] 0.4875 0.36788 1 0 Mshowa
0.49375 0.4856 moveto
0.50625 0.4856 lineto
stroke
0 setgray
[(0.8)] 0.4875 0.4856 1 0 Mshowa
0.49375 0.60332 moveto
0.50625 0.60332 lineto
stroke
0 setgray
[(1)] 0.4875 0.60332 1 0 Mshowa
grestore
grestore
0 0 moveto
1 0 lineto
1 0.618034 lineto
0 0.618034 lineto
closepath
newpath
0 setgray
gsave
gsave
gsave
0.004 setlinewidth
0.02381 0.01472 moveto
0.06349 0.01472 lineto
0.10317 0.01472 lineto
0.14286 0.01472 lineto
0.18254 0.01472 lineto
0.22222 0.01472 lineto
0.2619 0.01472 lineto
0.28175 0.01472 lineto
0.29167 0.01472 lineto
0.30159 0.01472 lineto
0.31151 0.01472 lineto
0.31399 0.01472 lineto
0.31647 0.01472 lineto
0.31771 0.01472 lineto
0.31895 0.01472 lineto
0.32019 0.01472 lineto
0.32143 0.01472 lineto
0.32267 0.01472 lineto
0.32391 0.01472 lineto
0.32515 0.01472 lineto
0.32639 0.01472 lineto
0.32763 0.01472 lineto
0.32887 0.01472 lineto
0.33011 0.01472 lineto
0.33135 0.01472 lineto
0.33259 0.01472 lineto
0.33383 0.01472 lineto
0.33507 0.01472 lineto
0.33631 0.01472 lineto
0.33755 0.01472 lineto
0.33879 0.01472 lineto
0.34003 0.01472 lineto
0.34127 0.01472 lineto
0.34251 0.01472 lineto
0.34375 0.01472 lineto
0.34499 0.01472 lineto
0.34623 0.01472 lineto
0.34747 0.01472 lineto
0.34871 0.01472 lineto
0.34995 0.01472 lineto
0.35119 0.01472 lineto
0.35243 0.01472 lineto
0.35367 0.01472 lineto
0.35491 0.01472 lineto
0.35615 0.01472 lineto
0.35739 0.01472 lineto
0.35863 0.01472 lineto
0.35987 0.01472 lineto
0.36111 0.01472 lineto
0.36235 0.01472 lineto
Mistroke
0.36359 0.01472 lineto
0.36483 0.01472 lineto
0.36607 0.01472 lineto
0.36731 0.01472 lineto
0.36855 0.01472 lineto
0.36979 0.01472 lineto
0.37103 0.01472 lineto
0.37227 0.01472 lineto
0.37351 0.01472 lineto
0.37475 0.01472 lineto
0.37599 0.01472 lineto
0.37723 0.01472 lineto
0.37847 0.01472 lineto
0.37971 0.01472 lineto
0.38095 0.01472 lineto
0.38219 0.01472 lineto
0.38343 0.01472 lineto
0.38467 0.01472 lineto
0.38591 0.01472 lineto
0.38715 0.01472 lineto
0.38839 0.01472 lineto
0.38963 0.01472 lineto
0.39087 0.01472 lineto
0.39211 0.01472 lineto
0.39335 0.01472 lineto
0.39459 0.01472 lineto
0.39583 0.01472 lineto
0.39707 0.01472 lineto
0.39831 0.01472 lineto
0.39955 0.01472 lineto
0.40079 0.01472 lineto
0.40203 0.01472 lineto
0.40327 0.01472 lineto
0.40451 0.01472 lineto
0.40575 0.01472 lineto
0.40699 0.01472 lineto
0.40823 0.01472 lineto
0.40947 0.01473 lineto
0.41071 0.01473 lineto
0.41195 0.01473 lineto
0.41319 0.01474 lineto
0.41443 0.01475 lineto
0.41567 0.01476 lineto
0.41815 0.01478 lineto
0.41939 0.0148 lineto
0.42063 0.01482 lineto
0.42188 0.01484 lineto
0.42312 0.01487 lineto
0.4256 0.01496 lineto
0.42684 0.01502 lineto
Mistroke
0.42808 0.01509 lineto
0.42932 0.01517 lineto
0.43056 0.01527 lineto
0.43304 0.01555 lineto
0.43428 0.01572 lineto
0.43552 0.01593 lineto
0.438 0.01648 lineto
0.44048 0.01724 lineto
0.44296 0.01829 lineto
0.44544 0.01971 lineto
0.44792 0.02161 lineto
0.4504 0.02411 lineto
0.45288 0.02738 lineto
0.45536 0.03158 lineto
0.45784 0.03691 lineto
0.46032 0.04358 lineto
0.4628 0.05183 lineto
0.46528 0.06188 lineto
0.47024 0.08836 lineto
0.4752 0.12469 lineto
0.48016 0.17199 lineto
0.49008 0.29883 lineto
0.49504 0.37487 lineto
0.49752 0.41468 lineto
0.49876 0.43482 lineto
0.5 0.45503 lineto
0.50248 0.46278 lineto
0.50496 0.47051 lineto
0.50992 0.48573 lineto
0.51984 0.5144 lineto
0.52976 0.5394 lineto
0.53968 0.55976 lineto
0.5496 0.57523 lineto
0.55456 0.58125 lineto
0.55952 0.58622 lineto
0.56448 0.59027 lineto
0.56944 0.59351 lineto
0.5744 0.59605 lineto
0.57937 0.59802 lineto
0.58433 0.59951 lineto
0.58929 0.60063 lineto
0.59425 0.60144 lineto
0.59921 0.60203 lineto
0.60169 0.60226 lineto
0.60417 0.60245 lineto
0.60665 0.60261 lineto
0.60913 0.60274 lineto
0.61409 0.60294 lineto
0.61657 0.60302 lineto
0.61905 0.60308 lineto
Mistroke
0.62153 0.60313 lineto
0.62401 0.60317 lineto
0.62897 0.60322 lineto
0.63145 0.60324 lineto
0.63393 0.60326 lineto
0.63641 0.60327 lineto
0.63889 0.60328 lineto
0.64137 0.60329 lineto
0.64385 0.6033 lineto
0.64633 0.6033 lineto
0.64881 0.60331 lineto
0.65129 0.60331 lineto
0.65377 0.60331 lineto
0.65625 0.60331 lineto
0.65873 0.60331 lineto
0.66121 0.60332 lineto
0.66369 0.60332 lineto
0.66617 0.60332 lineto
0.66865 0.60332 lineto
0.67113 0.60332 lineto
0.67361 0.60332 lineto
0.67609 0.60332 lineto
0.67857 0.60332 lineto
0.68105 0.60332 lineto
0.68353 0.60332 lineto
0.68601 0.60332 lineto
0.68849 0.60332 lineto
0.69097 0.60332 lineto
0.69345 0.60332 lineto
0.69593 0.60332 lineto
0.69841 0.60332 lineto
0.70089 0.60332 lineto
0.70213 0.60332 lineto
0.70337 0.60332 lineto
0.70461 0.60332 lineto
0.70585 0.60332 lineto
0.70833 0.60332 lineto
0.70957 0.60332 lineto
0.71081 0.60332 lineto
0.71205 0.60332 lineto
0.71329 0.60332 lineto
0.71577 0.60332 lineto
0.71701 0.60332 lineto
0.71825 0.60332 lineto
0.71949 0.60332 lineto
0.72073 0.60332 lineto
0.72321 0.60332 lineto
0.72445 0.60332 lineto
0.72569 0.60332 lineto
0.72693 0.60332 lineto
Mistroke
0.72817 0.60332 lineto
0.73065 0.60332 lineto
0.73189 0.60332 lineto
0.73313 0.60332 lineto
0.73438 0.60332 lineto
0.73562 0.60332 lineto
0.7381 0.60332 lineto
0.73934 0.60332 lineto
0.74058 0.60332 lineto
0.74182 0.60332 lineto
0.74306 0.60332 lineto
0.74554 0.60332 lineto
0.74678 0.60332 lineto
0.74802 0.60332 lineto
0.7505 0.60332 lineto
0.75174 0.60332 lineto
0.75298 0.60332 lineto
0.75422 0.60332 lineto
0.75546 0.60332 lineto
0.75794 0.60332 lineto
0.75918 0.60332 lineto
0.76042 0.60332 lineto
0.76166 0.60332 lineto
0.7629 0.60332 lineto
0.76538 0.60332 lineto
0.76662 0.60332 lineto
0.76786 0.60332 lineto
0.7691 0.60332 lineto
0.77034 0.60332 lineto
0.77158 0.60332 lineto
0.77282 0.60332 lineto
0.77406 0.60332 lineto
0.7753 0.60332 lineto
0.77654 0.60332 lineto
0.77778 0.60332 lineto
0.78026 0.60332 lineto
0.7815 0.60332 lineto
0.78274 0.60332 lineto
0.78398 0.60332 lineto
0.78522 0.60332 lineto
0.78646 0.60332 lineto
0.7877 0.60332 lineto
0.78894 0.60332 lineto
0.79018 0.60332 lineto
0.79142 0.60332 lineto
0.79266 0.60332 lineto
0.7939 0.60332 lineto
0.79514 0.60332 lineto
0.79638 0.60332 lineto
0.79762 0.60332 lineto
Mistroke
0.79886 0.60332 lineto
0.8001 0.60332 lineto
0.80134 0.60332 lineto
0.80258 0.60332 lineto
0.80382 0.60332 lineto
0.80506 0.60332 lineto
0.8063 0.60332 lineto
0.80754 0.60332 lineto
0.80878 0.60332 lineto
0.81002 0.60332 lineto
0.81126 0.60332 lineto
0.8125 0.60332 lineto
0.81746 0.60332 lineto
0.82738 0.60332 lineto
0.8373 0.60332 lineto
0.85714 0.60332 lineto
0.89683 0.60332 lineto
0.93651 0.60332 lineto
0.97619 0.60332 lineto
Mfstroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.01558 moveto
0.03373 0.01579 lineto
0.04365 0.01605 lineto
0.05357 0.01635 lineto
0.06349 0.01672 lineto
0.08333 0.0177 lineto
0.10317 0.01908 lineto
0.12302 0.02101 lineto
0.14286 0.02366 lineto
0.1627 0.02722 lineto
0.18254 0.03194 lineto
0.20238 0.03811 lineto
0.22222 0.04601 lineto
0.24206 0.05599 lineto
0.2619 0.06836 lineto
0.30159 0.10159 lineto
0.34127 0.14784 lineto
0.38095 0.2081 lineto
0.42063 0.28157 lineto
0.46032 0.36543 lineto
0.48016 0.40986 lineto
0.49008 0.4324 lineto
0.49504 0.4437 lineto
0.49752 0.44936 lineto
0.49876 0.4522 lineto
0.5 0.45503 lineto
0.50248 0.45611 lineto
0.50496 0.4572 lineto
0.50992 0.45937 lineto
0.51984 0.46372 lineto
0.53968 0.47236 lineto
0.57937 0.48932 lineto
0.61905 0.50557 lineto
0.65873 0.5208 lineto
0.69841 0.53476 lineto
0.7381 0.5473 lineto
0.77778 0.55832 lineto
0.81746 0.5678 lineto
0.85714 0.57577 lineto
0.89683 0.58233 lineto
0.93651 0.58762 lineto
0.97619 0.5918 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.027 moveto
0.04365 0.03017 lineto
0.06349 0.03402 lineto
0.10317 0.04418 lineto
0.14286 0.05837 lineto
0.18254 0.07755 lineto
0.22222 0.10262 lineto
0.2619 0.13431 lineto
0.30159 0.17305 lineto
0.34127 0.21885 lineto
0.38095 0.27121 lineto
0.42063 0.32911 lineto
0.46032 0.39101 lineto
0.48016 0.42289 lineto
0.49008 0.43894 lineto
0.49504 0.44698 lineto
0.49752 0.451 lineto
0.49876 0.45301 lineto
0.5 0.45503 lineto
0.50248 0.4558 lineto
0.50496 0.45657 lineto
0.50992 0.45812 lineto
0.51984 0.4612 lineto
0.53968 0.46736 lineto
0.57937 0.47957 lineto
0.61905 0.49151 lineto
0.65873 0.50307 lineto
0.69841 0.51413 lineto
0.7381 0.52461 lineto
0.77778 0.53442 lineto
0.81746 0.54351 lineto
0.85714 0.55185 lineto
0.89683 0.5594 lineto
0.93651 0.56617 lineto
0.97619 0.57218 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.04648 moveto
0.06349 0.05843 lineto
0.10317 0.07371 lineto
0.14286 0.09284 lineto
0.18254 0.11625 lineto
0.22222 0.14425 lineto
0.2619 0.17701 lineto
0.30159 0.21448 lineto
0.34127 0.2564 lineto
0.38095 0.30225 lineto
0.42063 0.35129 lineto
0.46032 0.40258 lineto
0.48016 0.42873 lineto
0.49008 0.44187 lineto
0.49504 0.44845 lineto
0.49752 0.45174 lineto
0.49876 0.45338 lineto
0.5 0.45503 lineto
0.50248 0.45566 lineto
0.50496 0.45629 lineto
0.50992 0.45755 lineto
0.51984 0.46008 lineto
0.53968 0.46512 lineto
0.57937 0.47515 lineto
0.61905 0.48503 lineto
0.65873 0.49469 lineto
0.69841 0.50408 lineto
0.7381 0.51313 lineto
0.77778 0.52179 lineto
0.81746 0.53002 lineto
0.85714 0.53779 lineto
0.89683 0.54506 lineto
0.93651 0.55182 lineto
0.97619 0.55806 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.06715 moveto
0.06349 0.08212 lineto
0.10317 0.10013 lineto
0.14286 0.12146 lineto
0.18254 0.14627 lineto
0.22222 0.17466 lineto
0.2619 0.2066 lineto
0.30159 0.24195 lineto
0.34127 0.28039 lineto
0.38095 0.32152 lineto
0.42063 0.36478 lineto
0.46032 0.40952 lineto
0.48016 0.43223 lineto
0.49008 0.44362 lineto
0.49504 0.44932 lineto
0.49752 0.45217 lineto
0.49876 0.4536 lineto
0.5 0.45503 lineto
0.50248 0.45557 lineto
0.50496 0.45612 lineto
0.50992 0.45722 lineto
0.51984 0.45941 lineto
0.53968 0.46378 lineto
0.57937 0.47249 lineto
0.61905 0.4811 lineto
0.65873 0.48957 lineto
0.69841 0.49786 lineto
0.7381 0.50592 lineto
0.77778 0.51372 lineto
0.81746 0.52123 lineto
0.85714 0.52842 lineto
0.89683 0.53526 lineto
0.93651 0.54173 lineto
0.97619 0.54783 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.08653 moveto
0.06349 0.10325 lineto
0.10317 0.12264 lineto
0.14286 0.14484 lineto
0.18254 0.16991 lineto
0.22222 0.19783 lineto
0.2619 0.22852 lineto
0.30159 0.26179 lineto
0.34127 0.29739 lineto
0.38095 0.33496 lineto
0.42063 0.37409 lineto
0.46032 0.41428 lineto
0.48016 0.43462 lineto
0.49008 0.44482 lineto
0.49504 0.44992 lineto
0.49752 0.45247 lineto
0.49876 0.45375 lineto
0.5 0.45503 lineto
0.50248 0.45552 lineto
0.50496 0.45601 lineto
0.50992 0.45699 lineto
0.51984 0.45895 lineto
0.53968 0.46286 lineto
0.57937 0.47066 lineto
0.61905 0.4784 lineto
0.65873 0.48603 lineto
0.69841 0.49353 lineto
0.7381 0.50086 lineto
0.77778 0.50801 lineto
0.81746 0.51494 lineto
0.85714 0.52163 lineto
0.89683 0.52806 lineto
0.93651 0.53421 lineto
0.97619 0.54007 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.104 moveto
0.06349 0.12171 lineto
0.10317 0.14175 lineto
0.14286 0.16418 lineto
0.18254 0.189 lineto
0.22222 0.21616 lineto
0.2619 0.24554 lineto
0.30159 0.27698 lineto
0.34127 0.31024 lineto
0.38095 0.34502 lineto
0.42063 0.38101 lineto
0.46032 0.41781 lineto
0.48016 0.43639 lineto
0.49008 0.44571 lineto
0.49504 0.45037 lineto
0.49752 0.4527 lineto
0.49876 0.45386 lineto
0.5 0.45503 lineto
0.50248 0.45547 lineto
0.50496 0.45592 lineto
0.50992 0.45682 lineto
0.51984 0.45861 lineto
0.53968 0.46218 lineto
0.57937 0.46931 lineto
0.61905 0.47639 lineto
0.65873 0.48339 lineto
0.69841 0.49029 lineto
0.7381 0.49706 lineto
0.77778 0.50369 lineto
0.81746 0.51015 lineto
0.85714 0.51642 lineto
0.89683 0.52249 lineto
0.93651 0.52834 lineto
0.97619 0.53396 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.1196 moveto
0.06349 0.13784 lineto
0.10317 0.15811 lineto
0.14286 0.18044 lineto
0.18254 0.20479 lineto
0.22222 0.2311 lineto
0.2619 0.25925 lineto
0.30159 0.28908 lineto
0.34127 0.32038 lineto
0.38095 0.35292 lineto
0.42063 0.38641 lineto
0.46032 0.42055 lineto
0.48016 0.43777 lineto
0.49008 0.44639 lineto
0.49504 0.45071 lineto
0.49752 0.45287 lineto
0.49876 0.45395 lineto
0.5 0.45503 lineto
0.50248 0.45544 lineto
0.50496 0.45586 lineto
0.50992 0.45668 lineto
0.51984 0.45834 lineto
0.53968 0.46165 lineto
0.57937 0.46826 lineto
0.61905 0.47482 lineto
0.65873 0.48133 lineto
0.69841 0.48775 lineto
0.7381 0.49407 lineto
0.77778 0.50028 lineto
0.81746 0.50635 lineto
0.85714 0.51227 lineto
0.89683 0.51802 lineto
0.93651 0.5236 lineto
0.97619 0.52898 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.13352 moveto
0.06349 0.15199 lineto
0.10317 0.17226 lineto
0.14286 0.19432 lineto
0.18254 0.21811 lineto
0.22222 0.24358 lineto
0.2619 0.27059 lineto
0.30159 0.29901 lineto
0.34127 0.32866 lineto
0.38095 0.35932 lineto
0.42063 0.39078 lineto
0.46032 0.42277 lineto
0.48016 0.43888 lineto
0.49008 0.44695 lineto
0.49504 0.45099 lineto
0.49752 0.45301 lineto
0.49876 0.45402 lineto
0.5 0.45503 lineto
0.50248 0.45541 lineto
0.50496 0.4558 lineto
0.50992 0.45658 lineto
0.51984 0.45813 lineto
0.53968 0.46123 lineto
0.57937 0.46741 lineto
0.61905 0.47356 lineto
0.65873 0.47966 lineto
0.69841 0.48569 lineto
0.7381 0.49164 lineto
0.77778 0.4975 lineto
0.81746 0.50324 lineto
0.85714 0.50885 lineto
0.89683 0.51433 lineto
0.93651 0.51966 lineto
0.97619 0.52484 lineto
stroke
grestore
grestore
gsave
gsave
0.004 setlinewidth
0.02381 0.14597 moveto
0.06349 0.1645 lineto
0.10317 0.18463 lineto
0.14286 0.20632 lineto
0.18254 0.22954 lineto
0.22222 0.25419 lineto
0.2619 0.28017 lineto
0.30159 0.30735 lineto
0.34127 0.33558 lineto
0.38095 0.36466 lineto
0.42063 0.39441 lineto
0.46032 0.4246 lineto
0.48016 0.4398 lineto
0.49008 0.44741 lineto
0.49504 0.45122 lineto
0.49752 0.45312 lineto
0.49876 0.45407 lineto
0.5 0.45503 lineto
0.50248 0.45539 lineto
0.50496 0.45576 lineto
0.50992 0.45649 lineto
0.51984 0.45795 lineto
0.53968 0.46087 lineto
0.57937 0.46671 lineto
0.61905 0.47251 lineto
0.65873 0.47827 lineto
0.69841 0.48398 lineto
0.7381 0.48962 lineto
0.77778 0.49517 lineto
0.81746 0.50063 lineto
0.85714 0.50599 lineto
0.89683 0.51122 lineto
0.93651 0.51634 lineto
0.97619 0.52131 lineto
stroke
grestore
grestore
grestore
% End of Graphics
MathPictureEnd
%%EPS Trailer
[90c]{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 --}
{\rtf0\ansi{\fonttbl\f0\froman Times;}
\margl40
\margr40
{\f0\fs24\fi0\li0\ql\gray0 --------}
{\rtf0\ansi{\fonttbl\f1\froman Times;}
\margl40
\margr40
{\f1\fs24\fi0\li0\ql\gray0 ---}
{\rtf0\ansi{\fonttbl\f0\fswiss Helvetica;}
\margl40
\margr40
{\f0\fs24\fi0\li0\ql\gray0 ---}
[19918c]%!PS-Adobe-2.0 EPSF-1.2
%%BoundingBox: 0 0 282 174
%%Creator: Mathematica
%%Title: Clipboard
%%CreationDate: Never Never
%%EndComments
50 dict begin
/Mnodistort true def
/pageDashArray [4] def
/nullDashArray [] def
% Compute the minimum of two numbers.
/Mmin { % p q Mmin min(p,q)
2 copy % p q p q
gt % p q p>q?
{ exch } if % min(p,q) max(p,q)
pop % min(p,q)
} bind def
% Compute the maximum of two numbers.
/Mmax { % p q Mmax max(p,q)
2 copy % p q p q
lt % p q p<q?
{ exch } if % max(p,q) min(p,q)
pop % max(p,q)
} bind def
/Mpstart {
MathPictureStart
} bind def
/Mpend {
MathPictureEnd
} bind def
/Mscale {
0 1 0 1
5 -1 roll
MathScale
} bind def
/Plain
/Courier findfont
/Bold
/Courier-Bold findfont
/Italic
/Courier-Oblique findfont
/MathPictureStart {
gsave
newpath
/Mtmatrix
matrix currentmatrix
Plain
Mfontsize scalefont
setfont
0 setgray 0 setlinewidth
} bind def
/MathPictureEnd {
grestore
} bind def
/Mdot {
moveto
0 0 rlineto
stroke
} def
/Mtetra {
moveto
lineto
lineto
lineto
fill
} def
/Metetra {
moveto
lineto
lineto
lineto
closepath
gsave
fill
grestore
0 setgray
stroke
} def
/Mistroke {
flattenpath
0 0 0
4 2 roll
pop pop
4 -1 roll
2 index
sub dup mul
4 -1 roll
2 index
sub dup mul
add sqrt
4 -1 roll
3 1 roll
stop
stop
pathforall
pop pop
currentpoint
stroke
moveto
currentdash
3 -1 roll
setdash
} def
/Mfstroke {
stroke
currentdash
pop 0
setdash
} def
/Msboxa {
newpath
5 -1 roll
Mvboxa
6 -1 roll
5 -1 roll
4 -1 roll
Msboxa1
5 -3 roll
Msboxa1
7 -2 roll
[ 2 index 2 index
10 -1 roll
9 -1 roll
6 1 roll
5 -2 roll
} bind def
/Msboxa1 {
2 div
2 index
1 add
3 -1 roll
-1 add
3 -1 roll
} bind def
/Mvboxa {
gsave
newpath
[ true
3 -1 roll
Mbbox
5 -1 roll
5 1 roll
7 -1 roll
exch sub
(m) stringwidth pop
.3 mul
7 1 roll
6 -1 roll
4 -1 roll
Mmin
3 -1 roll
5 index
5 -1 roll
4 -1 roll
Mmax
4 -1 roll
ifelse
false
forall
{ stop } if
counttomark
1 add
4 roll
grestore
} bind def
/Mbbox {
0 0 moveto
false charpath
flattenpath
pathbbox
newpath
} bind def
/Mmin {
2 copy
{ exch } if
} bind def
/Mmax {
2 copy
{ exch } if
} bind def
/Mshowa {
4 -2 roll
moveto
2 index
Mtmatrix setmatrix
Mvboxa
7 1 roll
6 -1 roll
5 -1 roll
4 -1 roll
Mshowa1
4 1 roll
Mshowa1
rmoveto
currentpoint
4 index length
-1 add
2 index
4 index
2 index
3 index
moveto
4 index
exch get
show
} for
pop pop pop pop
Mgmatrix setmatrix
} bind def
/Mshowa1 {
2 copy
4 1 roll
-2 div
} bind def
/MathScale {
Mwidth
Mheight
translate
scale
/Mgmatrix
matrix currentmatrix
/Msaveaa exch def
/Msavebb exch def
/Msavecc exch def
/Msavedd exch def
} bind def
/Mlp {
3 copy
Mlpfirst
Mnodistort
Mmin
} if
4 index
2 index
2 index
Mlprun
11 index
11 -1 roll
10 -4 roll
Mlp1
8 index
9 -5 roll
Mlp1
4 -1 roll
{ exit } if
3 -1 roll
pop pop
} loop
exch
3 1 roll
7 -3 roll
pop pop pop
} bind def
/Mlpfirst {
3 -1 roll
dup length
2 copy
-2 add
aload
pop pop pop
4 -2 roll
-1 add
aload
pop pop pop
6 -1 roll
3 -1 roll
5 -1 roll
dup /MsaveAx exch def
4 1 roll
exch sub
dup /MsaveAy exch def
} bind def
/Mlprun {
2 copy
4 index
0 get
4 1 roll
Mlprun1
3 copy
8 -2 roll
9 -1 roll
3 copy
Mlprun1
3 copy
11 -3 roll
/gt Mlpminmax
8 3 roll
11 -3 roll
/lt Mlpminmax
8 3 roll
} forall
pop pop pop pop
3 1 roll
pop pop
aload pop
5 -1 roll
aload pop
exch
6 -1 roll
Mlprun2
8 2 roll
4 -1 roll
Mlprun2
6 2 roll
3 -1 roll
Mlprun2
4 2 roll
exch
Mlprun2
6 2 roll
} bind def
/Mlprun1 {
aload pop
exch
6 -1 roll
5 -1 roll
mul add
4 -2 roll
3 -1 roll
} bind def
/Mlprun2 {
2 copy
add 2 div
3 1 roll
exch sub
} bind def
/Mlpminmax {
2 index
6 index
2 index
exec
7 -3 roll
4 -1 roll
} if
1 index
5 index
3 -1 roll
exec
4 1 roll
5 -1 roll
aload
pop pop
4 -1 roll
aload pop
8 -2 roll
5 -2 roll
6 -2 roll
5 -1 roll
4 1 roll
pop pop pop
} ifelse
} bind def
/Mlp1 {
5 index
3 index sub
5 index
2 index mul
1 index
1 index
0 le
1 index
3 index div
.99999 mul
8 -1 roll
7 1 roll
8 -1 roll
2 div
7 -2 roll
pop sub
5 index
6 -3 roll
pop pop
mul sub
exch
} bind def
/Mfontsize 12 def
/Mleft 0.000000 def
/Mbottom 174.000000 def
/Mwidth 282.000000 def
/Mheight 174.000000 def
currentscreen 3 1 roll pop pop 400.0000 45.0000 3 -1 roll setscreen