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View File Name : sym_poster.ps

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cleartomark
%%EndFont 
%%BeginFont: CMR17
%!PS-AdobeFont-1.1: CMR17 1.0
%%CreationDate: 1991 Aug 20 16:38:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR17) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR17 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 /.notdef put
readonly def
/FontBBox{-33 -250 945 749}readonly def
/UniqueID 5000795 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI12
%!PS-AdobeFont-1.1: CMTI12 1.0
%%CreationDate: 1991 Aug 18 21:06:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI12 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 /.notdef put
readonly def
/FontBBox{-36 -251 1103 750}readonly def
/UniqueID 5000829 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 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 /.notdef put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: LINE10
%!PS-AdobeFont-1.1: LINE10 1.001
%%CreationDate: 1992 Oct 23 20:22:05
%%RevisionDate: 2001 Jun 05 20:22:05
% Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.001) readonly def
/Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def
/FullName (LINE10) readonly def
/FamilyName (LaTeX) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /LINE10 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 8 /a8 put
dup 72 /a72 put
readonly def
/FontBBox{-150 -150 1020 1020}readonly def
/UniqueID 5011940 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: LCIRCLE10
%!PS-AdobeFont-1.1: LCIRCLE10 1.001
%%CreationDate: 1992 Oct 23 20:21:59
%%RevisionDate: 2001 Jun 05 20:21:59
% Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.001) readonly def
/Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def
/FullName (LCIRCLE10) readonly def
/FamilyName (LaTeX) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /LCIRCLE10 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 113 /a113 put
dup 115 /a115 put
readonly def
/FontBBox{-2000 -2000 2040 2040}readonly def
/UniqueID 5011942 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false 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 8 /braceleftbig put
dup 9 /bracerightbig put
dup 26 /braceleftbigg put
dup 27 /bracerightbigg put
dup 80 /summationtext put
dup 88 /summationdisplay put
dup 110 /braceleftBig put
dup 111 /bracerightBig put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
/UniqueID 5000774 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false 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 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
/UniqueID 5000789 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 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 /.notdef put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
/UniqueID 5000818 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: MSBM10
%!PS-AdobeFont-1.1: MSBM10 2.1
%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 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 63 /emptyset put
dup 67 /C put
dup 78 /N put
dup 82 /R put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
/UniqueID 5031982 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI6
%!PS-AdobeFont-1.1: CMMI6 1.100
%%CreationDate: 1996 Jul 23 07:53:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI6 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 /.notdef put
readonly def
/FontBBox{11 -250 1241 750}readonly def
/UniqueID 5087381 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false 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 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false 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 /.notdef put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 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 /.notdef put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
/UniqueID 5087383 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 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 /.notdef put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
/UniqueID 5087386 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
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currentdict end
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4524 V 1374 4615 a(4)1433 4547 y(\()p Fo(\013)1533 4562
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4757 V 1211 4848 a(6)1270 4780 y(\()p Fo(\013)1370 4795
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Fp(4)p eop end
%%Page: 5 5
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y Fn(;\037)1352 1705 y Fm(\032)28 b Fp([0)p Fo(;)17 b(\013)q
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1935 y Fn(D)696 1944 y Fh(4)731 1935 y Fn(;\037)826 1908
y Fm(3)920 1833 y Fg(P)1025 1937 y Fn(i)p Fi(2)p Fn(J)1162
1908 y Fo(\013)1224 1923 y Fn(i)1252 1908 y Fo(;)17 b(J)36
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y Fp(\).)470 2639 y(Notice)42 b(that)e(all)h(comp)s(onen)m(ts)h(of)f(c)
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2720 y Fn(\013)p 334 2736 V 339 2794 a Fl(2)389 2759
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2794 a Fl(2)2736 2759 y Fp(then)h(corresp)s(onding)324
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2868 y(~)2996 2893 y Fo(D)3077 2908 y Fl(4)3161 2893
y Fp(graph)h(w)m(e)324 3014 y(obtain)32 b Fo(D)708 3029
y Fl(4)780 3014 y Fp(graph)h(where)g(solution)g(is)h(kno)m(wn.)470
3134 y(Ha)m(ving)40 b(written)g(the)g(action)f(of)g(\()p
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Fp(5)p eop end
%%Page: 6 6
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2357 a Fp(2\(4)p Fo(n)22 b Fp(+)g(1\))1490 2288 y Fm(j)36
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3186 y Fq(4)161 b(In\014nit)l(y)52 b(of)i(the)f(set)g
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y Fl(\000)2751 4007 y Fp(\()p Fo(\037)p Fp(\))k(is)g(necessary)i(for)
324 4127 y(the)g(set)h(\006)715 4142 y Fl(\000)p Fn(;\037)860
4127 y Fp(to)f(b)s(e)g(in\014nite.)47 b(It)33 b(turns)h(out)f(that)g
(it)g(is)g(also)h(su\016cien)m(t)h(and)e(for)g(eac)m(h)324
4247 y(extended)h(diagram)f(w)m(e)g(are)g(able)g(to)f(build)h
(in\014nite)h(series.)324 4451 y Fd(Theorem)i(3.)41 b
Fc(L)-5 b(et)34 b Fp(\000)g Fc(b)-5 b(e)33 b(an)h(extende)-5
b(d)33 b(Dynkin)g(diagr)-5 b(am.)43 b(The)33 b(set)h
Fp(\006)3011 4466 y Fl(\000)p Fn(;\037)3157 4451 y Fc(is)f(in\014nite)
324 4571 y(if)h(and)h(only)f(if)h(e)-5 b(ach)34 b(c)-5
b(omp)g(onent)34 b(of)h(char)-5 b(acter)34 b Fo(\037)2223
4586 y Fn(i)2279 4571 y Fo(<)27 b(!)2443 4586 y Fl(\000)2491
4571 y Fp(\()p Fo(\037)p Fp(\))1918 5251 y(6)p eop end
%%Page: 7 7
TeXDict begin 7 6 bop 324 548 a Fq(References)373 767
y Fp([1])48 b(F)-8 b(ulton)51 b(William,)57 b Fc(Eigenvalues,)e
(invariant)c(factors,)56 b(hightes)c(weights,)j(and)524
887 y(Shub)-5 b(ert)29 b(c)-5 b(alculus)p Fp(,)27 b(Bull.)g(Amer.)g
(Math.)f(So)s(c.)g(\(N.S.\).)h(\(2000\).37,)f(no.)g(3.{P)-8
b(.209-)524 1008 y(249.)373 1211 y([2])48 b(M.)35 b(A.)f(Vlasenk)m(o,)i
(A.)e(S.)g(Mellit,)h(and)f(Y)-8 b(u.)35 b(S.)f(Samoilenk)m(o,)i
Fc(On)f(algebr)-5 b(as)35 b(gen-)524 1332 y(er)-5 b(ate)g(d)31
b(with)g(line)-5 b(arly)30 b(dep)-5 b(endent)30 b(gener)-5
b(ators)30 b(that)h(have)f(given)h(sp)-5 b(e)g(ctr)g(a)p
Fp(,)28 b(F)-8 b(unct.)524 1452 y(Anal.)33 b(Appl.)g(3)1055
1519 y(\026)1104 1452 y(9)f(\(2005\),)g(no.)h(3,)f(to)g(app)s(ear.)373
1655 y([3])48 b Fc(S.)70 b(Kruglyak,)79 b(S.)70 b(Pop)-5
b(ovich,)78 b(Y)-7 b(u.)70 b(Samoilenko)f Fp(,)80 b(The)72
b(sp)s(ectral)g(prob-)524 1776 y(lem)46 b(and)f Fm(\003)p
Fp(-represen)m(tations)i(of)d(algebras)i(asso)s(ciated)g(with)f(Dynkin)
h(graphs)524 1896 y(//arXiv:math.R)-8 b(T/0407418)31
b(v2.)373 2099 y([4])48 b(S.)25 b(A.)g(Krugly)m(ak)g(and)g(A.)g(V.)f
(Roiter,)i Fc(L)-5 b(o)g(c)g(al)5 b(ly)28 b(sc)-5 b(alar)27
b(r)-5 b(epr)g(esentations)26 b(of)h(gr)-5 b(aphs)524
2220 y(in)28 b(the)g(c)-5 b(ate)g(gory)27 b(of)h(Hilb)-5
b(ert)28 b(sp)-5 b(ac)g(es)p Fp(,)26 b(Preprin)m(t)g(2003.4,)f(Inst.)h
(Math.)f(Nat.)g(Acad.)524 2340 y(Sci.)34 b(Ukraine,)f(2003,)f
(\(Russian\).)373 2544 y([5])48 b(Ostro)m(vskyi)39 b(V.)d(L.,)h
Fc(Some)g(r)-5 b(emarks)38 b(on)g(families)e(of)i(op)-5
b(er)g(ators)38 b(r)-5 b(elate)g(d)38 b(to)g(ex-)524
2664 y(tende)-5 b(d)35 b(Dynkin)f(diagr)-5 b(ams)p Fp(,)31
b(MF)-11 b(A)j(T,)33 b(to)g(app)s(ear.)373 2867 y([6])48
b(Kost)m(y)m(an)m(t)m(yn)39 b(Y)-8 b(usenk)m(o,)40 b
Fc(On)e(fourtuples)h(of)f(pr)-5 b(oje)g(ctors)38 b(c)-5
b(onne)g(cte)g(d)38 b(with)g(line)-5 b(ar)524 2988 y(e)g(quation)p
Fp(,)33 b(Ukr.)g(Math.)g(J.,)f(to)h(app)s(ear.)1918 5251
y(7)p eop end
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userdict /end-hook known{end-hook}if
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