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%%Title: MSBM10
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%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name MSBM10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/MSBM10 known{/MSBM10 findfont dup/UniqueID known{dup
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/FamilyName (Euler) readonly def
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end readonly def
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%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.0: CMR5 003.002
%%Title: CMR5
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR5.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR5 known{/CMR5 findfont dup/UniqueID known{dup
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/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
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/FontBBox {-10 -250 1304 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR5.) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
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readonly def
currentdict end
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMSY7
%!PS-AdobeFont-1.0: CMSY7 003.002
%%Title: CMSY7
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSY7.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMSY7 known{/CMSY7 findfont dup/UniqueID known{dup
/UniqueID get 5096648 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMSY7 def
/FontBBox {-15 -951 1251 782 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSY7.) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMMI7
%!PS-AdobeFont-1.0: CMMI7 003.002
%%Title: CMMI7
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI7.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMMI7 known{/CMMI7 findfont dup/UniqueID known{dup
/UniqueID get 5087382 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMMI7 def
/FontBBox {-1 -250 1171 750 }readonly def
/PaintType 0 def
/FontInfo 10 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI7.) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/ascent 750 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 105 /i put
dup 107 /k put
dup 120 /x put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMR7
%!PS-AdobeFont-1.0: CMR7 003.002
%%Title: CMR7
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR7.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup
/UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
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/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR7.) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
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dup 50 /two put
dup 51 /three put
readonly def
currentdict end
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%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.0: CMMI10 003.002
%%Title: CMMI10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMMI10 known{/CMMI10 findfont dup/UniqueID known{dup
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/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMMI10 def
/FontBBox {-32 -250 1048 750 }readonly def
/PaintType 0 def
/FontInfo 10 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI10.) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/ascent 750 def
end readonly def
/Encoding 256 array
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dup 60 /less put
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dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 71 /G put
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readonly def
currentdict end
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.0: CMR10 003.002
%%Title: CMR10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup
/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR10 def
/FontBBox {-40 -250 1009 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR10.) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 48 /zero put
dup 50 /two put
dup 58 /colon put
dup 59 /semicolon put
dup 61 /equal put
dup 80 /P put
dup 83 /S put
dup 97 /a put
dup 101 /e put
dup 102 /f put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 119 /w put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.0: CMBX12 003.002
%%Title: CMBX12
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX12.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
/UniqueID get 5000769 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMBX12 def
/FontBBox {-53 -251 1139 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX12.) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 66 /B put
dup 80 /P put
dup 97 /a put
dup 101 /e put
dup 105 /i put
dup 108 /l put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 116 /t put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
TeXDict begin 39158280 55380996 1000 600 600 (potential barrier.dvi)
@start /Fa 255[65{}1 83.022 /CMSY10 rf /Fb 129[45 126[{}1
83.022 /MSBM10 rf /Fc 205[28 50[{}1 41.511 /CMR5 rf /Fd
255[52{}1 58.1154 /CMSY7 rf /Fe 135[38 12[35 1[23 105[{}3
58.1154 /CMMI7 rf /Ff 204[33 33 33 33 48[{}4 58.1154
/CMR7 rf /Fg 135[47 10[73 1[43 5[39 3[44 10[48 14[65
53 61 1[59 63 62 4[65 27[54 32[{}14 83.022 /CMMI10 rf
/Fh 136[60 1[46 32 33 33 2[42 46 1[23 2[23 46 1[25 37
3[42 13[46 2[57 18[65 1[23 23 7[42 1[42 4[65 1[32 32
40[{}23 83.022 /CMR10 rf /Fi 139[52 1[55 2[67 75 1[37
2[37 3[61 3[65 16[92 13[96 66[{}10 119.552 /CMBX12 rf
end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%BeginPaperSize: a4
/setpagedevice where
{ pop << /PageSize [595 842] >> setpagedevice }
{ /a4 where { pop a4 } if }
ifelse
%%EndPaperSize
 end
%%EndSetup
%%Page: 1 1
TeXDict begin 1 0 bop Black Black 0 390 a Fi(P)l(oten)l(tial)47
b(Barrier)0 572 y Fh(P)n(oten)n(tial)1404 784 y Fg(V)19
b Fh(\()p Fg(x)p Fh(\))24 b(=)1735 733 y Fg(V)1783 745
y Ff(0)1904 733 y Fh(if)k(0)22 b Fg(<)h(x)h(<)e(a)1735
833 y Fh(0)127 b(otherwise)125 1012 y(Solutions:)1401
1194 y Fg( )1455 1206 y Ff(1)1576 1194 y Fh(=)82 b Fg(Ae)1824
1160 y Fe(ik)q(x)1944 1194 y Fh(+)18 b Fg(B)t(e)2133
1160 y Fd(\000)p Fe(ik)q(x)1401 1319 y Fg( )1455 1331
y Ff(2)1576 1319 y Fh(=)82 b Fg(F)12 b(e)1827 1285 y
Fd(\000)p Fe(k)1914 1293 y Fc(2)1946 1285 y Fe(x)2007
1319 y Fh(+)18 b Fg(Ge)2194 1285 y Fd(\000)p Fe(ik)2304
1293 y Fc(2)2337 1285 y Fe(x)1401 1443 y Fg( )1455 1455
y Ff(3)1576 1443 y Fh(=)82 b Fg(C)6 b(e)1827 1409 y Fe(ik)q(x)1268
1669 y Fg(k)1314 1635 y Ff(2)1374 1669 y Fh(=)1472 1613
y(2)p Fg(mE)p 1472 1650 181 4 v 1521 1726 a Fb(~)1566
1702 y Ff(2)1662 1669 y Fh(;)180 b Fg(k)1911 1635 y Ff(2)1908
1690 y(2)1972 1669 y Fh(=)2069 1613 y(2)p Fg(m)p Fh(\()p
Fg(E)23 b Fa(\000)18 b Fg(V)2431 1625 y Ff(0)2469 1613
y Fh(\))p 2069 1650 433 4 v 2244 1726 a Fb(~)2289 1702
y Ff(2)p Black Black eop end
%%Trailer

userdict /end-hook known{end-hook}if
%%EOF