%!PS-Adobe-3.0
%%Title: P:\\TEX\\SIMA\\33-3\\37250\\37250
%%Creator: DVIPSONE 2.2.5  http://www.YandY.com
%%For: SIAM (#1) 1035 2001 Apr 10 12:32:38
%%CreationDate: 2001 Sep 04 09:13:29
%%BoundingBox: 72 88 441 720
%%Pages: 18
%%PageOrder: Ascend
%%DocumentSuppliedResources: font cmbx10 cmsy7 cmr8 cmsy6 cmr7 cmr6 cmr5 
%%+ font cmbx8 cmr10 cmmi10 cmmi7 cmsy10 cmex10 cmmi5 cmmib10 cmbsy10 cmsy5 
%%+ font cmcsc10 cmti10 cmmib7 cmti8 
%%+ procset dvipream 2 2
%%Copyright: (C) 1990--2001, Y&Y, Inc.  http://www.YandY.com
%%EndComments
% Command:
% \\newton\publicat\tex\yytex\dvipsone\dvipsone.exe -1v -*i -f=\\fourier\windows\atmfonts\psfonts P:\TEX\SIMA\33-3\37250\37250 
% TeX output 2001.09.04:0912
%%BeginProlog
/dvidict 322 dict def
%%BeginResource: procset dvipream 2 2
% DVIPSONE preamble version 2.2.5 (2001 Jan 15)
currentfile eexec
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cleartomark
%%EndResource
dvidict begin
% textext encoding
/textext[/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon
/Phi/Psi/Omega/ff/fi/fl/ffi/ffl
/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring
/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash
/suppress/exclam/quotedblright/numbersign/dollar/percent/ampersand/quoteright
/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash
/zero/one/two/three/four/five/six/seven
/eight/nine/colon/semicolon/exclamdown/equal/questiondown/question
/at/A/B/C/D/E/F/G
/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W
/X/Y/Z/bracketleft/quotedblleft/bracketright/circumflex/dotaccent
/quoteleft/a/b/c/d/e/f/g
/h/i/j/k/l/m/n/o
/p/q/r/s/t/u/v/w
/x/y/z/endash/emdash/hungarumlaut/tilde/dieresis
 128 notdef]def
end % dvidict
dvidict begin
% texnansi encoding
/texnansi[ n/Euro n n/fraction/dotaccent/hungarumlaut/ogonek
/fl/fraction/cwm/ff/fi/fl/ffi/ffl
/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring
/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash
/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright
/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash
/zero/one/two/three/four/five/six/seven
/eight/nine/colon/semicolon/less/equal/greater/question
/at/A/B/C/D/E/F/G
/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W
/X/Y/Z/bracketleft/backslash/bracketright/circumflex/underscore
/quoteleft/a/b/c/d/e/f/g
/h/i/j/k/l/m/n/o
/p/q/r/s/t/u/v/w
/x/y/z/braceleft/bar/braceright/tilde/dieresis
/Lslash/quotesingle/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl
/circumflex/perthousand/Scaron/guilsinglleft/OE/Zcaron/asciicircum/minus
/lslash/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash
/tilde/trademark/scaron/guilsinglright/oe/zcaron/asciitilde/Ydieresis
/nbspace/exclamdown/cent/sterling/currency/yen/brokenbar/section
/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/sfthyphen/registered/macron
/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered
/cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters/questiondown
/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply
/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls
/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide
/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
end % dvidict
%%EndProlog
%%BeginSetup
dvidict begin
%%BeginResource: font cmbx10
%!PS-AdobeFont-1.1: CMBX10 1.0
%%CreationDate: 1991 Aug 20 16:47:21
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMBX10) def
end readonly def
/FontName /cmbx10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-56 -250 1164 750}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec
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%%EndResource
%%BeginResource: font cmsy7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/BaseFontName (CMSY7) def
end readonly def
/FontName /cmsy7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 3 /asteriskmath put
dup 6 /plusminus put
dup 7 /minusplus put
dup 13 /circlecopyrt put
dup 33 /arrowright put
dup 34 /arrowup put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMR8) def
end readonly def
/FontName /cmr8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmsy6
%!PS-AdobeFont-1.1: CMSY6 1.0
%%CreationDate: 1991 Aug 15 07:21:34
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMSY6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/BaseFontName (CMSY6) def
end readonly def
/FontName /cmsy6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /asteriskmath put
dup 121 /dagger put
dup 122 /daggerdbl put
readonly def
/FontBBox{-4 -948 1329 786}readonly def
/UniqueID 5000816 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMR7) def
end readonly def
/FontName /cmr7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMR6) def
end readonly def
/FontName /cmr6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-20 -250 1193 750}readonly def
/UniqueID 5000789 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr5
%!PS-AdobeFont-1.1: CMR5 1.0
%%CreationDate: 1991 Aug 20 16:38:42
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMR5) def
end readonly def
/FontName /cmr5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-10 -250 1304 750}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmbx8
%!PS-AdobeFont-1.1: CMBX8 1.0
%%CreationDate: 1991 Aug 20 16:36:07
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMBX8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMBX8) def
end readonly def
/FontName /cmbx8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-59 -250 1235 750}readonly def
/UniqueID 5000766 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmr10
%!PS-AdobeFont-1.1: CMR10 1.0
%%CreationDate: 1991 Aug 26 22:23:32
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMR10) def
end readonly def
/FontName /cmr10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-40 -250 1009 750}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmmi10
%!PS-AdobeFont-1.1: CMMI10 1.0
%%CreationDate: 1991 Aug 18 17:49:13
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMI10) def
end readonly def
/FontName /cmmi10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 15 /epsilon1 put
dup 16 /zeta put
dup 17 /eta put
dup 20 /kappa put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 27 /sigma put
dup 30 /phi put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 64 /partialdiff put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 75 /K put
dup 76 /L put
dup 78 /N put
dup 79 /O put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 88 /X put
dup 97 /a put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 105 /i put
dup 107 /k put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5000785 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmmi7
%!PS-AdobeFont-1.1: CMMI7 1.0
%%CreationDate: 1991 Aug 18 17:50:47
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMI7) def
end readonly def
/FontName /cmmi7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 15 /epsilon1 put
dup 16 /zeta put
dup 20 /kappa put
dup 21 /lambda put
dup 25 /pi put
dup 27 /sigma put
dup 30 /phi put
dup 59 /comma put
dup 61 /slash put
dup 64 /partialdiff put
dup 76 /L put
dup 78 /N put
dup 84 /T put
dup 99 /c put
dup 100 /d put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 116 /t put
dup 117 /u put
dup 119 /w put
dup 120 /x put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5000782 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmsy10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/BaseFontName (CMSY10) def
end readonly def
/FontName /cmsy10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 6 /plusminus put
dup 7 /minusplus put
dup 17 /equivalence put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 24 /similar put
dup 28 /lessmuch put
dup 33 /arrowright put
dup 49 /infinity put
dup 50 /element put
dup 54 /negationslash put
dup 102 /braceleft put
dup 103 /braceright put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
dup 112 /radical put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmex10
%!PS-AdobeFont-1.1: CMEX10 1.0
%%CreationDate: 1991 Jul 31 07:27:23
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMEX10) def
end readonly def
/FontName /cmex10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 2 /bracketleftbig put
dup 3 /bracketrightbig put
dup 16 /parenleftBig put
dup 17 /parenrightBig put
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
dup 20 /bracketleftbigg put
dup 21 /bracketrightbigg put
dup 26 /braceleftbigg put
dup 28 /angbracketleftbigg put
dup 29 /angbracketrightbigg put
dup 80 /summationtext put
dup 82 /integraltext put
dup 88 /summationdisplay put
dup 90 /integraldisplay put
dup 104 /bracketleftBig put
dup 105 /bracketrightBig put
dup 112 /radicalbig put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
/UniqueID 5000774 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmmi5
%!PS-AdobeFont-1.1: CMMI5 1.0
%%CreationDate: 1991 Aug 18 17:50:00
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMMI5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMI5) def
end readonly def
/FontName /cmmi5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 25 /pi put
dup 78 /N put
dup 109 /m put
dup 110 /n put
readonly def
/FontBBox{37 -250 1349 750}readonly def
/UniqueID 5000780 def
currentdict end
currentfile eexec
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3D

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cleartomark

%%EndResource
%%BeginResource: font cmmib10
%!PS-AdobeFont-1.1: CMMIB10 001.100
%%CreationDate: 1996 Jul 23 07:54:00
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
% Copyright (C) 1992 Y&Y, Inc. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1988 - 1996 Blue Sky Research and Y&Y, Inc. (978) 371-3286) readonly def
/FullName (CMMIB10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMMIB10) def
end readonly def
/FontName /cmmib10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 24 /xi put
dup 117 /u put
readonly def
/FontBBox{-15 -250 1216 750}readonly def
/UniqueID 5087392 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmbsy10
%!PS-AdobeFont-1.1: CMBSY10 1.0
%%CreationDate: 1991 Aug 15 07:16:28
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMBSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/BaseFontName (CMBSY10) def
end readonly def
/FontName /cmbsy10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 54 /negationslash put
readonly def
/FontBBox{-27 -940 1332 825}readonly def
/UniqueID 5000762 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmsy5
%!PS-AdobeFont-1.1: CMSY5 1.0
%%CreationDate: 1991 Aug 15 07:21:16
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMSY5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/BaseFontName (CMSY5) def
end readonly def
/FontName /cmsy5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 3 /asteriskmath put
readonly def
/FontBBox{21 -944 1448 791}readonly def
/UniqueID 5000815 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmcsc10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMCSC10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/BaseFontName (CMCSC10) def
end readonly def
/FontName /cmcsc10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{14 -250 1077 750}readonly def
/UniqueID 5000772 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmti10
%!PS-AdobeFont-1.1: CMTI10 1.0
%%CreationDate: 1991 Aug 18 21:06:29
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMTI10) def
end readonly def
/FontName /cmti10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-35 -250 1124 750}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmmib7
%!PS-AdobeFont-1.1: CMMIB7 001.100
%%CreationDate: 1996 Jul 27 07:35:50
% Copyright (C) 1991 - 1996 Y&Y, Inc. All rights reserved.
% Copyright (C) 1991 - 1996 Blue Sky Research, Inc. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (c) 1991 - 1996 Y&Y, Inc. All rights reserved. (978) 371-3286) readonly def
/FullName (CMMIB7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
/BaseFontName (CMMIB7) def
end readonly def
/FontName /cmmib7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{0 -250 1294 750}readonly def
/UniqueID 5087389 def
currentdict end
currentfile eexec
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cleartomark

%%EndResource
%%BeginResource: font cmti8
%!PS-AdobeFont-1.1: CMTI8 1.0
%%CreationDate: 1991 Aug 18 21:07:42
% Copyright (C) 1988 Blue Sky Research. All rights reserved.
11 dict begin
/FontInfo 8 dict dup begin
/version (1.0) readonly def
/Notice (Computer Modern fonts were designed by Donald E. Knuth) readonly def
/FullName (CMTI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/BaseFontName (CMTI8) def
end readonly def
/FontName /cmti8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding textext def
/FontBBox{-35 -250 1190 750}readonly def
/UniqueID 5000826 def
currentdict end
currentfile eexec
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274667 r(As)T(for)T(\(14\),)s
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18205 r(e)T(satis\fed)T(b)S(y)T(the)T(extended)T(functions.)s
282852 r(Finally)s
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198248 r(\(15\))T(and)T(\(16\))T(are)T(still)s o y u(v)s
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1184071 r(Th)s
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109224 r(L)s
f8(\))T(giv)S(es)T(rise)T(to)T(a)T(2)s
f9(L)s
f8(-p)s
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267220 W(the)S(whole)S(line,)s
279411 r(ev)s
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18205 r(ect)S(to)S(0)S(and)S
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437571 r(Con)T(v)T(ersely)s
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279411 r(an)T(y)S(suc)T(h)S(solution)S(on)s o y u(the)s
242156 W(whole)S(line,)s
248081 X(when)S(restricted)S(to)S(\(0)s
f9(;)s
109224 r(L)s
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264148 W(fact,)s
275572 r(the)S(ev)s
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18205 r(oundary)S(conditions)S(\(13\))S(and)S(\(17\).)s
428356 r(Th)T(us)S(the)S(t)T(w)T(o)s o y u(problems)s
218453 W(are)S(equiv)s
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1184071 r(In)s
185917 W(view)S(of)S(this,)s
192425 r(w)s
-18205 X(e)S(shall)S(usually)S(con\fne)S(our)S(atten)T(tion)S
(in)S(the)S(follo)T(wing)S(to)S(problems)s o y u(on)s
195327 W(the)S(whole)S(line.)s
283563 r(In)S(fact)S(w)s
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18205 W(erio)S(dicit)T(y)s
-54614 r(.)s
283563 r(The)s
195327 r(in)T(terfacial)s O o
eop % [592]
end % dvidict
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dvidict begin 
593 5 bop % [593]

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eop % [593]
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eop % [596]
end % dvidict
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dvidict begin 
597 9 bop % [597]

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f8(\))s
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f8(.)s O o
eop % [597]
end % dvidict
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dvidict begin 
598 10 bop % [598]

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eop % [599]
end % dvidict
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eop % [602]
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280460 W(of)S(in)s
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(this)S(case\))S(can)s o y u(b)s
18205 X(e)s
257555 W(v)s
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408577 r(They)S(obtained)S(an)S(\\optimal")S(spacing)S(of)S(the)S
(order)S
f9(O)T
f8(\(1\))S(with)S(the)S(spacing)s o y u(giv)s
-18205 X(en)s
316894 W(in)S(accordance)S(with)S(\(82\).)s
586593 r(In)S([)s u(8)s o
327681 r(,)s u w(10)s o
972256 r(],)s
341503 r(the)S(same)S(analysis)S(w)T(as)S(done)S(for)S
(a)S(free)s o y u(energy)s
254969 W(corresp)s
18205 r(onding)S(to)S(the)S(alternativ)s
-18205 X(e)S(ev)T(olution)S(\(1\),)s
264097 W(\(4\),)S(\(3\).)s
400818 r(Similar)s
254969 W(results)S(w)T(ere)s o y u(obtained,)s
264030 r(but)s
254915 W(their)S(optimal)S(spacing)S(w)s
-18205 X(as)S
f9(O)s
18205 r
f8(\()s U
5576 r(^)s M
f9(\17)s u
-237825 d
f4(1)s
f10(=)s
f4(3)s O o
1089767 r
f8(\))S(\(as)s U
260491 r(^)s M w
f9(\17)s O u
520928 r
f11(!)s o
1176289 r
f8(0\).)s
400656 r(If)S(w)T(e)S(in)T(v)T(ok)T(e)S
(the)S(scaling)s o y u(pro)s
18205 X(cedure)s
184499 W(connecting)S(their)S(energy)S(functional)S(with)S(ours,)s
191290 r(their)S(spacing)S(of)S(order)S
f9(O)T
f8(\()s U
5576 r(^)s M
f9(\17)s u
-237825 d
f4(1)s
f10(=)s
f4(3)s O o
1089767 r
f8(\))s o y u(corresp)s
18205 X(onds)s
218453 W(to)S(our)S(spacing)S(of)S
f9(O)T
f8(\(1\))S(as)S
f9(\17)s u
f11(!)s o
655361 r
f8(0.)s o z u
1184071 r(The)s
245110 W(role)S(of)S(global)S(\(as)S(opp)s
18205 X(osed)S(to)S(lo)T(cal\))S(minimizers)S(is)S(m)s
-18205 W(uc)S(h)s
245110 W(more)S(imp)T(ortan)s
-18205 r(t)S(for)s o y u(problems)s
185869 W(in)S(higher)S(dimensions)S(than)S(in)S(one)S(dimension,)s
192386 r(b)s
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264915 W(no)S(mec)s
-18205 X(hanism)S(for)S(c)T(hanging)S(the)S(n)T(um)T
(b)s
18205 r(er)S(of)S(in)T(terfaces)S(once)S(that)S(n)T
(um)T(b)s
18205 X(er)S(has)S(b)T(een)s o y u(established)s
266972 W(b)s
-18205 X(y)S(the)S(initial)S(data.)s
436827 r(Therefore,)s
279101 r(there)S(is)S(no)S(mec)T(hanism)S(for)S(adjusting)S
(the)s o y u(spacing)s
218453 W(to)S(ac)s
-18205 W(hiev)S(e)s
218453 W(energy)S(optimalit)s
-18205 r(y)s
-54614 r(.)s O o
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41624209 d u
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f8(606)s o
6443212 r
f2(P)s
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185688 W(C.)S(FIFE)S(AND)S(D)T(ANIELLE)S(HILHORST)s O
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10223056 r(REFERENCES)s o
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431440 r([1])s O
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213044 W(Bahiana)S(and)S(Y.)S(Oono)s
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204639 r
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28763 r(l)s
215432 W(dynamic)s
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(ck)S(c)T(op)T(olymers)s
f2(,)s
204639 r(Ph)s
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622592 Y u
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f21(Equilibrium)s
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(melts.)s o y u
2395708 r
f2(2,)s
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f21(Sp)s
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145025 X(c)S(omp)S(arison)T(b)S(etwe)S(en)T(the)T
(se)S(c)S(ond)T(and)T(fourth)T(or)S(der)T
(e)S(quations)s o y u
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(terms)s
f2(,)s
241877 X(Japan)s
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2395708 r(253{262.)s o y U u
431440 r([7])s O
1347132 r
f20(T.)s
142832 W(Oht)s
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f2(,)s
140977 r
f21(Equilibrium)s
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(melts)s
f2(,)s
140977 r(Macromolecules,)s o y u
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185688 W(\(1986\),)S(pp.)S(2621{2632.)s o y U u
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f20(I.)s
242959 W(Ohnishi,)s
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f2(,)s
242479 r
f21(A)s
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251333 X(sep)s
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(e)T(ener)S(gy)T(functional)T(c)S(ontaining)T(a)T
(long-r)S(ange)T(inter)S(action)s o y u
2395708 r(term)s
f2(,)s
185688 W(Chaos,)S(9)S(\(1999\),)S(pp.)S(329{341.)s o y U u
431440 r([9])s O
1347132 r
f20(X.)s
256737 W(Ren)S(and)S(J.)S(Wei)s
f2(,)s
259908 r
f21(On)s
256526 W(the)S(multiplicity)S(of)S(solutions)S(of)S(two)S(nonlo)s
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256526 W(variational)S(pr)s
-28763 r(oblems)s
f2(,)s o y u
2395708 r(SIAM)s
185688 W(J.)S(Math.)S(Anal.,)S(31)S(\(2000\),)S(pp.)S(909{924.)s o y U u
152908 r([10])s O
1347132 r
f20(X.)s
252371 W(Ren)S(and)S(J.)S(Wei)s
f2(,)s
254384 r
f21(On)s
252419 W(Ener)s
-28763 X(gy)S(Minimizers)S(of)S(the)S(Di-Blo)T(ck)S(Cop)T
(olymer)S(Pr)T(oblem)s
f2(,)s
254384 r(preprin)s
-15474 r(t,)s o y u
2395708 r(Utah)s
185688 W(State)S(Univ)s
-15474 W(ersit)S(y)s
-46422 r(,)s
185688 W(Logan,)S(UT,)S(2001.)s O o
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