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cleartomark
%%EndFont 
%%BeginFont: CMBX5
%!PS-AdobeFont-1.1: CMBX5 1.0
%%CreationDate: 1991 Aug 20 16:35:12
% 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 (CMBX5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX5 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 50 /two put
readonly def
/FontBBox{-40 -250 1483 756}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% 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 (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false 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 17 /eta put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 58 /period put
dup 59 /comma put
dup 62 /greater put
dup 77 /M put
dup 84 /T put
dup 88 /X put
dup 89 /Y put
dup 100 /d put
dup 103 /g put
dup 116 /t put
dup 120 /x put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX7
%!PS-AdobeFont-1.1: CMBX7 1.0
%%CreationDate: 1991 Aug 20 16:35:49
% 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 (CMBX7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX7 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 48 /zero put
dup 49 /one put
dup 50 /two put
dup 83 /S put
dup 84 /T put
dup 114 /r put
dup 115 /s put
dup 126 /tilde put
readonly def
/FontBBox{-55 -250 1289 751}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: TeX-cmex9
%!PS-AdobeFont-1.0: TeX-cmex9 001.001
% Filtered by type1fix.pl 0.05
%%EndComments
13 dict dup begin
/FontInfo 16 dict dup begin
/Copyright (see\040copyright\040of\040original\040TeX\040font) def
/FamilyName (TeX\040cmex9) def
/FullName (TeX\040cmex9\040Regular) def
/ItalicAngle 0 def
/Notice (converted\040after\040April\0402001) def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Weight (Regular) def
/isFixedPitch false def
/version (001.001) def
end readonly def
/FontName /TeX-cmex9 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 16 /quotedblleft put
dup 17 /quotedblright put
readonly def
/FontBBox {-26 -2961 1503 773} readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMIB10
%!PS-AdobeFont-1.1: CMMIB10 1.100
%%CreationDate: 1996 Jul 23 07:54:00
% 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 (CMMIB10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false 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 11 /alpha put
dup 12 /beta put
dup 16 /zeta put
dup 17 /eta put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 30 /phi put
readonly def
/FontBBox{-15 -250 1216 750}readonly 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 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 20 /caron put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 52 /four put
dup 54 /six put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 88 /X put
dup 89 /Y put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s 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
dup 123 /endash put
readonly def
/FontBBox{-36 -251 1103 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: MSAM10
%!PS-AdobeFont-1.1: MSAM10 2.1
%%CreationDate: 1993 Sep 17 09:05:00
% 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 (MSAM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSAM10 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 /squaremultiply put
dup 54 /lessorequalslant put
dup 62 /greaterorequalslant put
readonly def
/FontBBox{8 -463 1331 1003}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMIB7
%!PS-AdobeFont-1.1: CMMIB7 001.100
%%CreationDate: 1996 Jul 27 07:35:50
% Computer Modern fonts were designed by Donald E. Knuth.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (001.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMIB7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false 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 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 17 /eta put
readonly def
/FontBBox{0 -250 1294 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSS8
%!PS-AdobeFont-1.1: CMSS8 1.0
%%CreationDate: 1991 Aug 20 17:34:12
% 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 (CMSS8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMSS8 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 107 /k put
readonly def
/FontBBox{-65 -250 1062 761}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSS9
%!PS-AdobeFont-1.1: CMSS9 1.0
%%CreationDate: 1991 Aug 20 17:34:24
% 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 (CMSS9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMSS9 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 48 /zero put
dup 98 /b put
dup 107 /k put
dup 108 /l put
dup 110 /n put
readonly def
/FontBBox{-63 -250 1027 760}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false 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 256 array
0 1 255 {1 index exch /.notdef put} for
dup 19 /acute put
dup 20 /caron put
dup 40 /parenleft put
dup 41 /parenright put
dup 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 61 /equal put
dup 63 /question put
dup 68 /D put
dup 71 /G put
dup 72 /H put
dup 75 /K put
dup 78 /N put
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dup 80 /P put
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dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 122 /z put
dup 127 /dieresis put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false 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 256 array
0 1 255 {1 index exch /.notdef put} for
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 83 /S put
dup 84 /T put
dup 97 /a put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 114 /r put
dup 115 /s put
dup 118 /v put
dup 126 /tilde put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% 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 (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false 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 48 /prime put
dup 49 /infinity put
dup 106 /bar put
dup 112 /radical put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% 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 (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false 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 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 33 /omega put
dup 58 /period put
dup 59 /comma put
dup 84 /T put
dup 99 /c put
dup 100 /d put
dup 105 /i put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 114 /r put
dup 115 /s put
readonly def
/FontBBox{0 -250 1171 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX9
%!PS-AdobeFont-1.1: CMBX9 1.0
%%CreationDate: 1991 Aug 20 16:36:25
% 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 (CMBX9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX9 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 65 /A put
dup 67 /C put
dup 78 /N put
dup 80 /P put
dup 82 /R put
dup 90 /Z put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-58 -250 1195 750}readonly 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 0 /parenleftbig put
dup 1 /parenrightbig put
dup 12 /vextendsingle put
dup 13 /vextenddouble 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 32 /parenleftBigg put
dup 33 /parenrightBigg put
dup 40 /braceleftBigg put
dup 48 /parenlefttp put
dup 49 /parenrighttp put
dup 50 /bracketlefttp put
dup 51 /bracketrighttp put
dup 52 /bracketleftbt put
dup 53 /bracketrightbt put
dup 56 /bracelefttp put
dup 58 /braceleftbt put
dup 60 /braceleftmid put
dup 62 /braceex put
dup 64 /parenleftbt put
dup 65 /parenrightbt put
dup 66 /parenleftex put
dup 67 /parenrightex put
dup 68 /angbracketleftBig put
dup 69 /angbracketrightBig put
dup 80 /summationtext put
dup 82 /integraltext put
dup 83 /uniontext put
dup 84 /intersectiontext put
dup 88 /summationdisplay put
dup 90 /integraldisplay put
dup 98 /hatwide put
dup 99 /hatwider put
dup 100 /hatwidest put
dup 112 /radicalbig put
dup 113 /radicalBig put
dup 115 /radicalBigg put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% 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 (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false 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 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 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSL12
%!PS-AdobeFont-1.1: CMSL12 1.0
%%CreationDate: 1991 Aug 20 16:40:41
% 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 (CMSL12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -9.46 def
/isFixedPitch false def
end readonly def
/FontName /CMSL12 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 /ff put
dup 12 /fi put
dup 19 /acute put
dup 20 /caron put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 57 /nine put
dup 58 /colon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 87 /W put
dup 89 /Y put
dup 90 /Z put
dup 94 /circumflex put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s 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{-56 -251 1102 750}readonly 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 12 /fi put
dup 19 /acute put
dup 20 /caron put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 73 /I put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 127 /dieresis put
readonly def
/FontBBox{-53 -251 1139 750}readonly 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 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 17 /eta put
dup 18 /theta put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 29 /upsilon put
dup 30 /phi put
dup 31 /chi put
dup 32 /psi put
dup 33 /omega put
dup 34 /epsilon put
dup 39 /phi1 put
dup 42 /arrowrighttophalf put
dup 44 /arrowhookleft 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 68 /D put
dup 69 /E put
dup 72 /H put
dup 75 /K put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s 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
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR9
%!PS-AdobeFont-1.1: CMR9 1.0
%%CreationDate: 1991 Aug 20 16:39:59
% 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 (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR9 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 6 /Sigma put
dup 33 /exclam put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 54 /six put
dup 59 /semicolon put
dup 61 /equal put
dup 72 /H put
dup 73 /I put
dup 76 /L put
dup 83 /S put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 99 /c put
dup 100 /d put
dup 108 /l put
dup 111 /o put
dup 126 /tilde put
readonly def
/FontBBox{-39 -250 1036 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY9
%!PS-AdobeFont-1.1: CMSY9 1.0
%%CreationDate: 1991 Aug 15 07:22:27
% 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 (CMSY9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY9 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 2 /multiply put
dup 3 /asteriskmath put
dup 6 /plusminus put
dup 14 /openbullet put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
dup 62 /latticetop put
dup 76 /L put
dup 94 /logicaland put
dup 95 /logicalor put
dup 102 /braceleft put
dup 103 /braceright put
dup 106 /bar put
dup 110 /backslash put
dup 112 /radical put
readonly def
/FontBBox{-30 -958 1146 777}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI9
%!PS-AdobeFont-1.1: CMMI9 1.100
%%CreationDate: 1996 Jul 23 07:53:55
% 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 (CMMI9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI9 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 17 /eta put
dup 21 /lambda put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 29 /upsilon put
dup 33 /omega put
dup 34 /epsilon put
dup 59 /comma put
dup 61 /slash put
dup 67 /C put
dup 72 /H put
dup 75 /K put
dup 78 /N put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 120 /x put
readonly def
/FontBBox{-29 -250 1075 750}readonly 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
/FontName /CMR12 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 1 /Delta put
dup 6 /Sigma put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 16 /dotlessi put
dup 18 /grave put
dup 19 /acute put
dup 20 /caron put
dup 22 /macron put
dup 24 /cedilla put
dup 33 /exclam put
dup 34 /quotedblright put
dup 38 /ampersand put
dup 40 /parenleft put
dup 41 /parenright put
dup 42 /asterisk put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 61 /equal put
dup 63 /question put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s 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
dup 123 /endash put
dup 126 /tilde put
dup 127 /dieresis put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSS12
%!PS-AdobeFont-1.1: CMSS12 1.0
%%CreationDate: 1991 Aug 20 17:33:47
% 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 (CMSS12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMSS12 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 20 /caron put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 65 /A put
dup 66 /B put
dup 68 /D put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 122 /z put
readonly def
/FontBBox{-62 -251 978 758}readonly def
currentdict end
currentfile eexec
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41.5109 /CMBX5 rf /Fc 255[65{}1 83.022 /CMSY10 rf /Fd
152[43 2[47 37[71 2[25 30[40 52 27[{}6 90.9091 /CMMI10
rf /Fe 129[38 10[30 31 29[52 42 32[38 38 38 48[{}8 58.1154
/CMBX7 rf /Ff 238[46 46 16[{}2 74.7198 /TeX-cmex9 rf
/Fg 231[46 1[64 22[{}2 90.9091 /CMMIB10 rf /Fh 132[50
40 47 45 65 45 52 32 40 41 45 50 50 55 80 25 45 30 30
50 45 30 45 50 45 45 50 7[72 72 1[72 1[70 55 71 1[66
75 72 87 61 75 51 38 72 75 64 66 74 70 69 72 6[30 50
50 1[50 1[50 1[50 50 50 50 30 35 30 2[40 40 30 18[50
6[57 55 60 11[{}68 99.6264 /CMTI12 rf /Fi 135[47 3[30
12[40 13[48 69 3[49 6[81 18[23 29[36 1[43 47 36 6[41
17[{}13 83.022 /CMMI10 rf /Fj 201[60 54[{}1 74.7198 /MSAM10
rf /Fk 238[40 5[50 11[{}2 58.1154 /CMMIB7 rf /Fl 148[24
107[{}1 46.4922 /CMSS8 rf /Fm 145[40 1[18 38 8[40 49[38
48[{}5 74.7198 /CMSS9 rf /Fn 128[45 4[40 3[48 51 35 36
36 1[51 45 51 76 25 48 28 25 51 45 28 40 51 40 51 45
12[66 51 2[62 4[71 2[68 71 9[71 10[45 45 2[25 30 3[35
35 19[45 45 19[{}38 90.9091 /CMR10 rf /Fo 147[29 55 1[29
7[51 13[58 25[52 52 52 52 52 52 52 52 52 52 1[29 46[{}16
90.9091 /CMBX10 rf /Fp 231[39 1[54 52 3[46 39 3[51 59
11[{}7 74.7198 /CMMIB10 rf /Fq 143[55 5[20 56[66 19 47[52{}5
58.1154 /CMSY7 rf /Fr 193[77 7[77 51[77 2[{}3 99.6264
/MSAM10 rf /Fs 140[31 31 1[34 1[41 59 3[23 4[35 30 14[39
24[20 20 24[42 5[38 34 39 12[38 43 11[{}17 58.1154 /CMMI7
rf /Ft 134[47 47 29[54 7[66 1[60 1[69 10[64 1[67 65[{}8
74.7198 /CMBX9 rf /Fu 140[100 1[100 100 11[144 100 55
7[55 1[144 3[83 83 47 1[105 10[61 61 87 87 87 87 1[89
1[89 1[89 1[89 2[66 66 66 66 87 87 7[80 6[79 79 5[75
4[53 53 73 73 59 59 2[55 33 10[46 46{}42 99.6264 /CMEX10
rf /Fv 202[33 33 33 33 33 33 4[51 1[26 26 40[{}9 58.1154
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54 81 27 51 30 27 54 49 30 43 54 43 54 49 2[49 3[60 73
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66 75 70 69 73 6[27 49 3[49 49 49 49 49 2[27 33 27 2[38
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133[37 5[32 1[33 1[46 42 46 69 23 44 25 23 3[37 46 37
46 42 13[46 2[57 65 62 5[62 3[63 4[39 10[42 42 42 42
3[28 3[32 32 19[42 42 19[{}32 83.022 /CMR10 rf /Fy 128[67
4[60 3[71 75 52 53 55 1[75 67 75 112 37 71 41 37 75 67
41 61 75 60 75 65 6[82 3[102 103 1[75 2[92 101 2[81 2[50
105 15[67 67 67 67 67 67 67 67 2[37 45 24[67 67 19[{}44
119.552 /CMBX12 rf /Fz 129[48 7[50 2[38 39 8[27 20[66
53 25[48 48 48 48 48 48 48 48 48 48 48[{}17 83.022 /CMBX10
rf /FA 225[71 5[51 57 71 67 3[60 51 3[66 76 11[{}9 99.6264
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58 85 29 51 40 33 56 47 48 45 51 42 41 51 7[57 81 92
57 1[57 60 1[77 63 75 78 94 1[83 2[81 2[72 81 70 74 73
51 1[76 49 76 27 27 13[27 1[98 2[64 4[46 61 63 61 58
53 42 55 50 55 43 48 59 57 2[45 48 2[43 51 55 62 11[{}72
99.6264 /CMMI12 rf /FC 129[38 14[38 2[21 7[43 34 4[38
21 1[21 7[43 6[48 2[28 58 10[60 1[21 4[38 1[38 38 38
38 38 4[60 1[30 30 6[21 26[55 6[{}25 74.7198 /CMR9 rf
/FD 143[64 1[38 3[21 2[38 38 6[51 51 17[53 13[60 11[51
77 21 33[38 7[60 2[38 60 21 60{}18 74.7198 /CMSY9 rf
/FE 135[44 5[83 1[83 1[50 2[50 28 39 39 50 50 9[66 8[60
6[69 5[72 53 77 10[55 55 1[0 1[89 1[66 100 15[100 6[77
1[77 3[77 1[77 3[50 3[77 2[77 77 2[50 77 28 77{}35 99.6264
/CMSY10 rf /FF 135[44 2[44 28 36 35 34 39 1[46 68 23
40 31 26 44 37 37 1[40 33 33 41 7[45 63 73 45 1[45 47
4[61 2[65 2[64 4[55 5[38 1[21 24[36 48 3[42 34 44 40
44 34 2[45 3[38 4[43 49 11[{}44 74.7198 /CMMI9 rf /FG
133[72 85 2[85 90 63 64 66 1[90 81 90 134 45 85 49 45
1[81 1[74 90 72 90 78 6[99 3[122 2[90 2[110 121 2[97
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rf /FH 128[49 49 2[49 43 51 51 70 51 54 38 38 38 51 54
49 54 81 27 51 30 27 54 49 30 43 54 43 54 49 2[49 27
1[27 60 73 73 100 73 73 70 54 72 1[66 76 73 89 61 76
50 35 73 77 64 66 75 70 69 73 1[46 1[76 1[27 27 49 49
49 49 49 49 49 49 49 49 49 27 33 27 76 49 38 38 1[76
3[49 27 8[43 1[49 1[49 49 49 1[27 2[54 54 57 70 76 70
1[70 4[81 1[{}96 99.6264 /CMR12 rf /FI 132[56 50 59 59
1[59 62 44 44 46 1[62 56 62 93 31 59 34 31 62 56 34 51
62 50 62 54 6[68 5[78 62 84 84 77 84 88 106 67 88 1[42
88 1[70 74 86 81 80 85 8[56 56 56 56 56 56 56 56 56 1[31
37 31 2[44 44 19[56 56 6[62 12[{}61 99.6264 /CMBX12 rf
/FJ 141[79 1[108 97 108 161 2[59 54 3[88 1[86 1[94 16[132
7[151 26[65 25[97 19[{}14 172.154 /CMBX12 rf /FK 133[51
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rf /FL 136[66 45 50 35 37 33 50 1[49 50 77 23 47 26 23
1[49 30 43 50 43 50 47 6[60 6[54 63 1[62 2[85 3[27 4[70
1[65 64 16[49 1[27 33 24[49 20[{}34 99.6264 /CMSS12 rf(cmmi10)cvn
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9.96265 /Fz 1 fstore(cmbx7)cvn 6.97385 /Fe 1 fstore(cmsy7)cvn
6.97385 /Fq 1 fstore(cmsy10)cvn 9.96265 /Fc 1 fstore(cmbx5)cvn
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3562 y FF(r)1339 3598 y FH(\))29 b Fw(mjera)g FA(\026)17
b(\036)d FE(\001)g FA(\036)28 b Fw(je)h(\(p)s(ozitivna\))g(Radono)m(v)
-5 b(a)28 b(mjera)h(na)g FI(R)3525 3562 y FF(d)3582 3598
y FE(\002)14 b FH(S)3727 3562 y FF(d)p FD(\000)p FC(1)3871
3598 y Fw(.)p 3868 3689 30 43 v 71 3814 a FI(Korolar)48
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1789 3763 30 2 v(ena)h(\(p)s(o)s(d\)nizom)f FH(\()p FL(u)2635
3834 y FF(n)2681 3812 y Fq(0)2709 3814 y FH(\))p Fw(.)72
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(o)m(vima)h FB(K)2490 3948 y FF(i)2562 3933 y FE(\022)f
FI(R)2765 3897 y FF(d)2808 3933 y Fw(,)h(tada)e(nosa)m(\024)-46
b(c)41 b(k)m(omp)s(onen)m(te)71 4052 y FA(\026)p FL(e)185
4067 y FF(i)237 4052 y FE(\001)22 b FL(e)330 4067 y FF(j)403
4052 y Fw(je)33 b(sadr)m(\024)-46 b(zan)33 b(u)f FH(\()p
FB(K)1074 4067 y FF(i)1127 4052 y FE(\\)22 b FB(K)1298
4067 y FF(j)1338 4052 y FH(\))g FE(\002)h FH(S)1552 4016
y FF(d)p FD(\000)p FC(1)1694 4052 y Fw(.)p 3868 4095
30 43 v 293 4237 a FH(Uk)m(olik)m(o)29 b(je)e(\()p FB(u)837
4252 y FF(n)887 4237 y FH(\))h(omed)p 1146 4185 30 2
v 1 w(en)g(niz)g(u)f(L)1600 4201 y FC(2)1670 4237 y FH(k)m(o)5
b(ji)29 b(k)m(on)m(v)m(ergira)g(slab)s(o)e(k)h FB(u)p
FH(,)g(tada)f(je)h(\()p FB(u)3176 4252 y FF(n)3238 4237
y FE(\000)12 b FB(u)p FH(\))3421 4201 y FC(2)3490 4237
y FH(omed)p 3683 4185 V 1 w(en)28 b(u)71 4356 y(L)132
4319 y FC(1)174 4356 y FH(,)h(te)e(stoga)g(na)g(p)s(o)s(dnizu)g(k)m(on)
m(v)m(ergira)i(slab)s(o)e(k)g(p)s(ozitivno)5 b(j)28 b(Radono)m(v)m(o)5
b(j)28 b(mjeri)f FB(\027)34 b FH(\(defektno)5 b(j)28
b(mjeri\).)71 4474 y(V)-8 b(eza)33 b(defektne)h(i)f(H-mjere)g(dana)f
(je)h(sljede)m(\023)-46 b(cim)34 b(k)m(orolarom.)71 4643
y FI(Korolar)46 b(3.)122 b Fw(Ak)m(o)41 b(za)f(niz)h(funk)m(cija)81
b FL(u)1677 4658 y FF(n)1768 4643 y FE(2)41 b FH(L)1936
4606 y FC(2)1979 4643 y FH(\()p FI(R)2101 4606 y FF(d)2144
4643 y FH(\))f Fw(vrijedi)h(da)80 b FL(u)2766 4658 y
FF(n)2844 4643 y FE(\012)28 b FL(u)2999 4658 y FF(n)3089
4643 y Fw(k)m(on)m(v)m(ergira)42 b(slab)s(o)57 b FE(\003)71
4761 y Fw(\(v)-5 b(ague\))32 b(k)h(mjeri)g FA(\027)7
b Fw(,)33 b(tada)g(je)f(za)h(sv)-5 b(aki)33 b FB(')28
b FE(2)g FH(C)1833 4776 y FC(0)1876 4761 y FH(\()p FI(R)1998
4725 y FF(d)2041 4761 y FH(\))1553 4978 y FE(h)p FA(\027)7
b FB(;)17 b(')p FE(i)28 b FH(=)f FE(h)p FA(\026)p FB(;)17
b(')k Fr(\002)i FH(1)p FE(i)k FB(;)71 5195 y Fw(gdje)33
b(je)f FA(\026)g Fw(H-mjera)h(pridru)m(\024)-46 b(zena)33
b(\(p)s(o)s(d\)nizu)g FH(\()p FL(u)1893 5210 y FF(n)1944
5195 y FH(\))p Fw(.)p 3868 5286 30 43 v 293 5432 a FH(Gornje)39
b(tvrdnje)h(tak)m(od)p 1175 5380 30 2 v 1 w(er)g(vrijede)g(i)g(za)g
(slab)s(o)f(k)m(on)m(v)m(ergen)m(tne)k(nizo)m(v)m(e)e(\()p
FL(u)3103 5447 y FF(n)3153 5432 y FH(\))f(iz)f(L)3401
5396 y FC(2)3401 5463 y(lo)r(c)3502 5432 y FH(\()p FI(R)3624
5396 y FF(d)3667 5432 y FH(;)17 b FI(C)3792 5396 y FF(r)3833
5432 y FH(\),)71 5560 y(s)39 b(tim)f(da)h(se)g(test)g(funk)m(cije)h
FB(')1223 5575 y FC(1)1265 5560 y FB(;)17 b(')1373 5575
y FC(2)1454 5560 y FH(bira)5 b(ju)38 b(iz)h(prostora)f(C)2319
5575 y FF(c)2357 5560 y FH(\()p FI(R)2479 5524 y FF(d)2523
5560 y FH(\))o(.)61 b(Pri)39 b(tom)f(pripadna)h(H-mjera)f
FA(\026)71 5678 y FH(ne)k(mora)g(biti)g(k)m(ona)m(\024)-46
b(cna)42 b(Radono)m(v)-5 b(a)42 b(mjera,)i(v)m(e)m(\023)-46
b(c)44 b(samo)e(distribucija)h(reda)f(0,)i(o)s(dnosno)d(ob)5
b(jekt)43 b(iz)71 5809 y(prostora)456 5729 y Fu(\000)502
5809 y FH(C)572 5824 y FF(c)610 5809 y FH(\()p FI(R)732
5773 y FF(d)775 5809 y FH(\))813 5729 y Fu(\001)859 5748
y FD(0)884 5809 y FH(.)3817 6010 y Fz(3)p eop end
%%Page: 4 10
TeXDict begin 4 9 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)57 83 y FH(Drugi)35
b(pristup)j(de\014niciji)f(H-mjera)f(je)h(prek)m(o)g(klasi)m(\024)-46
b(cne)38 b(teorije)e(pseudo)s(diferencijalnih)j(op)s(er-)-165
202 y(atora)k([G1].)79 b Fw(Klasi)m(\024)-46 b(cni)46
b(pseudo)s(diferencijalni)g(op)s(erator)51 b FH(je)45
b(linearni)g(op)s(erator)f FB(A)k FH(:)h FE(S)3224 166
y FD(0)3249 202 y FH(\()p FI(R)3371 166 y FF(d)3415 202
y FH(\))f FE(\000)-16 b(!)-165 320 y(S)-98 284 y FD(0)-73
320 y FH(\()p FI(R)49 284 y FF(d)93 320 y FH(\))30 b(pridru)m(\024)-46
b(zen)32 b(funk)m(ciji)g FB(a)p FH(,)f Fw(sim)m(b)s(olu)p
FH(,)h(iz)f(prostora)f(C)1995 284 y FD(1)2077 320 y FH(\()p
FI(R)2199 284 y FF(d)2264 320 y FE(\002)23 b FI(R)2448
284 y FF(d)2491 320 y FH(\),)31 b(k)m(o)5 b(ja)31 b(zado)m(v)m(olja)m
(v)-5 b(a)31 b(do)s(datne)-165 439 y(o)s(cjene)i(na)f(deriv)-5
b(acije)34 b(na)m(v)m(edene)h(isp)s(o)s(d,)e(tak)-5 b(a)m(v)32
b(da)h(je:)1025 650 y FB(Au)p FH(\()p FI(x)p FH(\))27
b(=)1420 515 y Fu(Z)1475 740 y Ft(R)1541 719 y Fs(d)1601
650 y FB(e)1646 609 y FC(2)p FF(\031)s(i)p Ft(x)p FD(\001)p
Fp(\030)1871 650 y FB(a)p FH(\()p FI(x)p FB(;)17 b FA(\030)s
FH(\))6 b(^)-55 b FB(u)o FH(\()p FA(\030)s FH(\))p FB(d)p
FA(\030)s FB(:)-165 885 y FH(Prostor)34 b(pseudo)s(diferencijalnih)i
(op)s(eratora)d(na)h FI(R)1780 848 y FF(d)1857 885 y
FH(reda)g FB(m)c FE(2)h FI(Z)p FH(,)k(ozna)m(\024)-46
b(cen)34 b(s)h(\011)2935 848 y FF(m)3006 885 y FH(\()p
FI(R)3128 848 y FF(d)3172 885 y FH(\),)f(sasto)5 b(ji)35
b(se)-165 1003 y(o)s(d)e(op)s(eratora)e(\024)-46 b(ciji)34
b(sim)m(b)s(oli)h(zado)m(v)m(olja)m(v)-5 b(a)5 b(ju)35
b(sljede)m(\023)-46 b(ce)36 b(o)s(cjene)f(\()p FB(@)2274
1018 y Fp(\013)2371 1003 y FH(predsta)m(vlja)g(deriv)-5
b(aciju)35 b(obzirom)-165 1122 y(na)f(v)-5 b(arijable)34
b FB(x)424 1086 y FF(i)488 1122 y FH(u)g(\014zik)-5 b(alnom)35
b(prostoru,)g(dok)f FB(@)1705 1086 y Fp(\014)1797 1122
y FH(ozna)m(\024)-46 b(cuje)35 b(deriv)-5 b(aciju)35
b(p)s(o)e(dualnim)i(v)-5 b(arijablama)-165 1241 y FB(\030)-122
1256 y FF(i)-92 1241 y FH(\):)-76 1466 y(\()p FE(8)17
b FA(\013)p FB(;)g FA(\014)30 b FE(2)f FI(N)433 1425
y FF(d)433 1491 y FC(0)476 1466 y FH(\))17 b(\()p FE(9)g
FB(C)718 1425 y Fp(\014)711 1491 y(\013)802 1466 y FE(2)28
b FI(R)980 1425 y FC(+)1044 1466 y FH(\))17 b(\()p FE(8)g
FI(x)p FB(;)33 b FA(\030)d FE(2)e FI(R)1587 1425 y FF(d)1631
1466 y FH(\))97 b FE(j)p FB(@)1845 1481 y Fp(\013)1908
1466 y FB(@)1964 1425 y Fp(\014)2022 1466 y FB(a)p FH(\()p
FI(x)p FB(;)17 b FA(\030)s FH(\))p FE(j)27 b Fr(6)h FB(C)2543
1425 y Fp(\014)2536 1491 y(\013)2600 1356 y Fu(\020)2660
1345 y(q)p 2760 1345 471 4 v 121 x FH(1)22 b(+)g(4)p
FB(\031)3037 1437 y FC(2)3079 1466 y FE(j)p FA(\030)s
FE(j)3189 1437 y FC(2)3230 1356 y Fu(\021)3290 1378 y
FF(m)p FD(\000j)p Fp(\014)r FD(j)3545 1466 y FB(;)-165
1656 y FH(i.e.)33 b(pripada)f(H\177)-49 b(ormandero)m(v)m(o)5
b(j)34 b(klasi)g(S)1320 1620 y FF(m)1320 1684 y FC(0)p
FF(;)p FC(1)1422 1656 y FH(.)44 b(Nadalje,)33 b(zah)m(tijev)-5
b(amo)33 b(da)f(je)h FB(a)g FH(oblik)-5 b(a)846 1844
y FB(a)p FH(\()p FI(x)p FB(;)17 b FA(\030)s FH(\))27
b(=)h FB(a)1312 1803 y FF(m)1384 1844 y FH(\()p FI(x)p
FB(;)17 b FA(\030)s FH(\)\(1)k FE(\000)h FB(\036)p FH(\()p
FA(\030)s FH(\)\))g(+)g FB(a)2221 1803 y FF(m)p FD(\000)p
FC(1)2391 1844 y FH(\()p FI(x)p FB(;)17 b FA(\030)s FH(\))p
FB(;)-165 2011 y FH(gdje)43 b(je)h FB(a)222 1975 y FF(m)337
2011 y FH(homogena)g(funk)m(cija)g(reda)g FB(m)g FH(u)f
FA(\030)s FH(,)j FB(\036)g FE(2)h FH(C)2056 1975 y FD(1)2056
2035 y FF(c)2137 2011 y FH(\()p FI(R)2259 1975 y FF(d)2302
2011 y FH(\))d(s)g(nosa)m(\024)-46 b(cem)44 b(u)g(jedini)m(\024)-46
b(cno)5 b(j)45 b(kugli,)-165 2130 y(te)40 b FB(\036)p
FH(\()p FA(\030)s FH(\))g(=)g(1)g(ok)m(o)h(isho)s(di)-5
b(\024)-44 b(sta)41 b FA(\030)i FH(=)d FL(0)p FH(,)i(dok)f(je)f
FB(a)1681 2093 y FF(m)p FD(\000)p FC(1)1892 2130 y FE(2)h
FH(S)2053 2088 y FF(m)p FD(\000)p FC(1)2053 2159 y(0)p
FF(;)p FC(1)2223 2130 y FH(.)67 b(F)-8 b(unk)m(ciju)41
b FB(a)2775 2093 y FF(m)2887 2130 y FH(naziv)-5 b(amo)40
b Fw(gla)m(vnim)-165 2270 y(sim)m(b)s(olom)33 b FH(op)s(eratora)e
FB(A)d FE(2)g FH(\011)986 2234 y FF(m)1089 2270 y FH(i)k(pi)-5
b(\024)-44 b(semo)33 b FB(a)1524 2234 y FF(m)1624 2270
y FH(=)28 b FB(\033)1783 2285 y FF(m)1855 2270 y FH(\()p
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2295 y(c)2308 2270 y FH(\()p FI(R)2430 2234 y FF(d)2474
2270 y FH(\))f(ozna)m(\024)-46 b(cit)30 b(\023)-46 b(cemo)33
b(p)s(otprostor)e(u)-165 2389 y(\011)-89 2353 y FF(m)-18
2389 y FH(\()p FI(R)104 2353 y FF(d)148 2389 y FH(\))h(k)m(o)5
b(ji)34 b(sadr)m(\024)-46 b(zi)34 b(op)s(eratore)29 b(\024)-46
b(ciji)33 b(sim)m(b)s(oli)h(su)f(k)m(ompaktno)h(no)-5
b(\024)-44 b(seni)34 b(u)f(v)-5 b(arijabli)33 b FI(x)p
FH(,)g(rezultira)5 b(ju)m(\023)-46 b(ci)-165 2508 y(op)s(eratorima)32
b FB(A)g FH(sa)h FE(S)677 2471 y FD(0)735 2508 y FH(u)g
FE(E)884 2471 y FD(0)941 2508 y FH(\(prostor)g(distribucija)g(s)g(k)m
(ompaktnim)i(nosa)m(\024)-46 b(cem\).)57 2626 y(Limes)26
b(\(1\))f(iz)h(isk)-5 b(aza)26 b(T)-8 b(eorema)26 b(1.)g(sada)f(se)h
(mo)m(\024)-46 b(ze)27 b(preform)m(ulirati)f(na)f(sljede)m(\023)-46
b(ci)27 b(na)m(\024)-46 b(cin)26 b(\(p)s(o)s(drazu-)-165
2745 y(mijev)-5 b(a)33 b(se)g(k)m(ompleksni)i(sk)-5 b(alarani)33
b(pro)s(dukt)g(v)m(ektora,)g(o)s(dnosno)g(matrica\))662
2962 y(\()p FE(8)17 b FI(P)27 b FE(2)h FH(\011)1046 2921
y FC(0)1046 2986 y FF(c)1089 2962 y FH(\()p FI(R)1211
2921 y FF(d)1254 2962 y FH(;)17 b FI(R)1382 2921 y FF(r)1422
2962 y FH(\)\))114 b(lim)1657 3022 y FF(n)1765 2826 y
Fu(Z)1820 3052 y Ft(R)1886 3030 y Fs(d)1946 2962 y FI(P)p
FL(u)2073 2977 y FF(n)2145 2962 y FE(\001)22 b FL(u)2245
2977 y FF(n)2312 2962 y FB(d)p FI(x)27 b FH(=)h FE(h)p
FA(\026)p FB(;)17 b FI(p)p FE(i)p FB(;)-165 3177 y FH(gdje)32
b(je)h FI(p)g FH(gla)m(vni)g(sim)m(b)s(ol)g(op)s(eratora)f
FI(P)p FH(.)57 3296 y(H-mjere)h(su)h(op)m(\023)-46 b(cenito)33
b(pridru)m(\024)-46 b(zene)35 b(k)m(ompleksnim)h(v)m(ektorskim)g(funk)m
(cijama.)45 b(Med)p 3208 3244 30 2 v 2 w(utim)33 b(uk)m(o-)-165
3415 y(lik)m(o)48 b(je)f(niz)h(\()p FL(u)414 3430 y FF(n)465
3415 y FH(\))f(realan,)52 b(pripadna)47 b(H-mjera)g(ima)h(nek)-5
b(a)48 b(do)s(datna)f(sv)m(o)5 b(jstv)-5 b(a)49 b(k)m(o)5
b(ja)48 b(proizlaze)g(iz)-165 3533 y(sljede)m(\023)-46
b(ce)34 b(leme.)-165 3690 y FI(Lema)40 b(2.)104 b Fw(Nek)-5
b(a)34 b(je)g FH(\()p FL(u)771 3705 y FF(n)822 3690 y
FH(\))d Fw(\024)-46 b(cist)35 b(niz)f(u)g FH(L)1382 3654
y FC(2)1425 3690 y FH(\()p FI(R)1547 3654 y FF(d)1590
3690 y FH(;)17 b FI(C)1715 3654 y FF(r)1756 3690 y FH(\))p
Fw(,)34 b(te)h FA(\026)e Fw(pripadna)h(H-mjera.)48 b(T)-8
b(ada)34 b(je)g(i)g(niz)h FH(\()p 3523 3634 51 4 v FL(u)3573
3705 y FF(n)3623 3690 y FH(\))-168 3809 y Fw(\024)-46
b(cist)33 b(s)g(pripadnom)g(H-mjerom)g FA(\027)7 b Fw(,)33
b(te)g(pri)f(tom)h(vrijedi)g(da)g(je)f FA(\027)7 b FH(\()p
FI(x)p FB(;)17 b FA(\030)s FH(\))28 b(=)f FA(\026)2672
3773 y FD(>)2736 3809 y FH(\()p FI(x)p FB(;)17 b FE(\000)p
FA(\030)s FH(\))p Fw(.)57 3928 y(P)m(osebno,)44 b(H-mjera)c
FB(\026)h Fw(pridru)m(\024)-46 b(zena)41 b(sk)-5 b(alarnom)41
b(realnom)g(nizu)h(je)f(an)m(tip)s(o)s(dalno)f(simetri)m(\024)-46
b(cna,)-165 4046 y(o)s(dnosno)32 b(vrijedi)i(da)e(je)h
FB(\026)p FH(\()p FI(x)p FB(;)17 b FA(\030)s FH(\))27
b(=)g FB(\026)p FH(\()p FI(x)p FB(;)17 b FE(\000)p FA(\030)s
FH(\))p Fw(.)-165 4184 y FL(Dem.)93 b FH(P)m(o)32 b(de\014niciji)i
(H-mjera)f(za)f(test)i(funk)m(cije)g FB(')27 b FE(2)h
FH(C)1995 4199 y FC(0)2038 4184 y FH(\()p FI(R)p FH(\))k(i)h
FB( )f FE(2)c FH(C\(S)2641 4148 y FC(0)2684 4184 y FH(\))k(imamo:)-165
4380 y(\(3\))1112 b FE(h)p FB(\026)1170 4395 y FF(ij)1235
4380 y FB(;)17 b(' )t FE(i)27 b FH(=)h(lim)1624 4440
y FF(n)1715 4269 y Fu(D)1819 4380 y(d)-170 b FB('u)1913
4395 y FF(in)2017 4380 y FE(j)2092 4354 y FH(\026)2072
4380 y FB( )2135 4395 y FC(0)2184 4380 y FH(^)-55 b FB(u)2234
4395 y FF(j)t(n)2336 4269 y Fu(E)2397 4380 y FB(;)-165
4594 y FH(gdje)28 b(je)h FB( )204 4609 y FC(0)275 4594
y FH(homogeno)f(pro)-5 b(\024)-44 b(sirenje)30 b(reda)e(0)g(funk)m
(cije)i FB( )i FH(na)d FI(R)2134 4558 y FF(d)2134 4619
y FD(\003)2177 4594 y FH(.)42 b(S)29 b(druge)f(strane,)i(za)f(niz)g(\()
p 3224 4538 V FL(u)3274 4609 y FF(n)3324 4594 y FH(\))f(vrijedi)-165
4713 y(da)k(je)295 4874 y(lim)340 4935 y FF(n)431 4764
y Fu(D)534 4861 y(d)508 4874 y FB(')6 b FH(\026)-55 b
FB(u)628 4889 y FF(in)732 4874 y FE(j)807 4849 y FH(\026)787
4875 y FB( )850 4890 y FC(0)914 4861 y Fu(c)899 4874
y FH(\026)g FB(u)949 4889 y FF(j)t(n)1052 4764 y Fu(E)1140
4874 y FH(=)28 b(lim)1288 4935 y FF(n)p 1396 4748 814
4 v 1396 4764 a Fu(D)1473 4875 y FH(\()16 b(\026)-65
b FB('u)1631 4890 y FF(in)1707 4875 y FH(\))1745 4826
y FD(_)1828 4875 y FE(j)28 b FB( )1947 4890 y FC(0)1996
4875 y FH(\024)-55 b FB(u)2046 4890 y FF(j)t(n)2148 4764
y Fu(E)2236 4874 y FH(=)28 b(lim)2385 4935 y FF(n)p 2492
4748 682 4 v 2492 4764 a Fu(D)2596 4862 y(d)2585 4875
y FH(\026)-64 b FB(')o(u)2689 4890 y FF(in)2793 4875
y FE(j)2869 4849 y FH(~)2849 4875 y FB( )2912 4890 y
FC(0)2961 4875 y FH(^)-55 b FB(u)3011 4890 y FF(j)t(n)3113
4764 y Fu(E)3174 4874 y FB(:)-165 5080 y FH(Pritom)34
b(je)g(druga)g(nejednak)m(ost)h(dobiv)m(ena)h(zamjenom)e(v)-5
b(arijabli)34 b(\()p FA(\020)i FH(=)30 b FE(\000)p FA(\030)s
FH(\),)k(dok)g(je)g(s)3196 5054 y(~)3176 5080 y FB( )k
FH(ozna)m(\024)-46 b(cena)-165 5199 y(promjena)42 b(predznak)-5
b(a)43 b(argumen)m(ta)f(u)g(dualno)5 b(j)42 b(v)-5 b(arijabli)42
b(\()2149 5173 y(~)2129 5199 y FB( )2192 5214 y FC(0)2235
5199 y FH(\()p FA(\030)s FH(\))h(=)g FB( )2590 5214 y
FC(0)2633 5199 y FH(\()p FE(\000)p FA(\030)s FH(\)\).)72
b(Kori)-5 b(\024)-44 b(stenjem)43 b(\(3\))-165 5318 y(imamo)32
b(da)h(je)g(zadnji)f(limes)i(jednak)p 1038 5401 377 4
v 1038 5526 a FE(h)p FB(\026)1136 5541 y FF(ij)1201 5526
y FB(;)p 1245 5421 131 4 v 17 w(')1329 5499 y FH(~)1309
5526 y FB( )t FE(i)27 b FH(=)p 1546 5431 377 4 v 28 w
FE(h)8 b FH(~)-57 b FB(\026)1644 5541 y FF(ij)1710 5526
y FB(;)32 b FH(\026)-64 b FB(')1837 5499 y FH(\026)1817
5526 y FB( )t FE(i)28 b FH(=)f FE(h)8 b FH(~)-57 b FB(\026)2152
5541 y FF(j)t(i)2218 5526 y FB(;)17 b(' )t FE(i)p FB(:)3324
5811 y FI(Q.E.D.)-165 6010 y Fz(4)p eop end
%%Page: 5 11
TeXDict begin 5 10 bop 3607 -116 a Fx(H-mjere)293 83
y FH(Kak)m(o)37 b(H-mjere)h(prou)m(\024)-46 b(ca)m(v)-5
b(a)5 b(ju)38 b(limese)h(kv)-5 b(adrati)m(\024)-46 b(cnih)38
b(izraza)f(slab)s(o)h(k)m(on)m(v)m(ergen)m(tnih)i(nizo)m(v)-5
b(a,)39 b(to)71 202 y(se)j(i)f(osno)m(vni)h(primjeri)f(H-mjera)g(o)s
(dnose)h(na)e(p)s(o)5 b(ja)m(v)m(e)42 b(k)m(o)5 b(je)42
b(uzrokuju)g(o)s(dstupanje)g(slab)s(e)f(o)s(d)g(jak)m(e)71
320 y(k)m(on)m(v)m(ergencije)35 b(\(titranje)e(i)g(k)m(oncen)m
(tracija\).)71 566 y FI(Primjer)k(1.)99 b(\(Titranje\))31
b FH(Nek)-5 b(a)33 b(je)f FB(v)f FE(2)d FH(L)1773 530
y FC(2)1773 598 y(lo)r(c)1873 566 y FH(\()p FI(R)1995
530 y FF(d)2039 566 y FH(\))k(p)s(erio)s(di)m(\024)-46
b(cna)32 b(funk)m(cija)h(s)f(jedini)m(\024)-46 b(cnim)34
b(p)s(erio)s(dom)71 685 y(\(radi)c(jednosta)m(vnosti\))j(u)e(sv)-5
b(ak)m(o)5 b(j)31 b(o)s(d)g(v)-5 b(arijabli,)31 b(te)g(\()p
FB(u)2116 700 y FF(n)2165 685 y FH(\))g(niz)g(iz)g(istog)g(prostora)g
(de\014niran)g(relacijom)1663 980 y FB(u)1719 995 y FF(n)1769
980 y FH(\()p FI(x)p FH(\))c(:=)h FB(v)t FH(\()p FB(n)p
FI(x)p FH(\))71 1275 y(\(vidi)36 b(Sliku)h(1\).)51 b(Pri)36
b(tom)f(pretp)s(osta)m(vljamo)i(da)e(je)h(srednja)g(vrijednost)g(funk)m
(cije)h FB(v)i FH(n)m(ula,)e(te)f(stoga)71 1394 y FB(u)127
1409 y FF(n)205 1394 y FB(*)27 b FH(0)32 b(u)h(L)559
1358 y FC(2)601 1394 y FH(\()p FI(R)723 1358 y FF(d)767
1394 y FH(\))f(i)h(ima)f(smisla)i(gledati)f(tom)f(nizu)i(pridru)m(\024)
-46 b(zen)m(u)34 b(H-mjeru.)803 3159 y @beginspecial
0 @llx 0 @lly 704 @urx 632 @ury 2834 @rwi 1842 @rhi @setspecial
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3440 2690 0 -200 S
255 0 r6
1750 1480 30 -70 -30 -10 ^ f
255 0 r3
1060 5080 10 -350 S
255 0 r6
1700 1860 30 -230 -30 0 ^ f
255 0 r3
3430 3120 0 -220 S
255 0 r6
1650 2520 20 -350 -20 0 -30 340 f
255 0 r3
2060 3840 0 -240 S
255 0 r6
1600 3320 30 -410 -30 -10 -30 420 f
255 0 r3
3420 3570 10 -220 S
255 0 r6
1560 3970 20 -230 -30 0 -10 230 f
255 0 r3
1390 4030 0 220 S
255 0 r6
1540 4400 10 -210 -30 0 ^ f
255 0 r3
3420 4020 0 -220 S
255 0 r6
1500 4980 20 -370 -20 0 -30 360 f
255 0 r3
2050 4290 0 -230 S
255 0 r6
1440 5510 30 -230 -30 0 -20 220 f
255 0 r3
3410 4620 0 -380 S
255 0 r6
1410 5660 10 -20 -30 -10 ^ f
255 0 r3
5860 4210 10 390 S
3260 1650 10 -170 S
1980 4770 10 180 S
255 0 r6
1390 5690 10 -10 -20 -20 ^ f
255 0 r3
3390 5250 10 -290 S
255 0 r6
1350 5670 20 20 20 -20 ^ f
255 0 r3
2040 4700 10 -200 S
255 0 r6
1310 5470 30 150 20 0 -20 -160 f
255 0 r3
3380 5610 10 -140 S
255 0 r6
1260 4910 20 320 30 -10 -30 -310 f
255 0 r3
1380 3570 0 230 S
255 0 r6
1210 4150 20 380 30 0 -30 -380 f
255 0 r3
3370 5660 10 20 S
255 0 r6
1160 3350 20 410 30 -10 -20 -400 f
255 0 r3
2030 5220 10 -330 S
255 0 r6
1120 2730 20 220 20 0 -10 -220 f
255 0 r3
3360 5380 0 180 S
255 0 r6
1100 2320 10 200 30 0 -20 -200 f
255 0 r3
1050 5560 10 -190 S
255 0 r6
1060 1820 20 320 30 0 -30 -320 f
255 0 r3
3350 4820 0 310 S
5990 1520 10 -110 S
2020 5620 10 -160 S
5980 1990 0 -280 S
3330 4070 10 390 S
5970 2550 0 -200 S
1370 3120 10 220 S
5960 2980 0 -220 S
3320 3230 10 420 S
5950 3440 10 -230 S
2010 5640 0 40 S
5950 3900 0 -230 S
3310 2410 0 420 S
5940 4350 0 -220 S
5860 4000 0 210 S
5860 3780 0 220 S
3260 1900 0 -250 S
5860 3570 0 210 S
5850 3350 10 220 S
3250 2230 10 -330 S
1980 4570 0 200 S
1360 2480 10 200 S
5850 2930 0 420 S
5840 2530 10 400 S
3250 2420 0 -190 S
5830 2170 10 360 S
5830 1870 0 300 S
3240 2620 10 -200 S
1980 4360 0 210 S
5820 1640 10 230 S
5810 1480 10 160 S
3240 2830 0 -210 S
5810 1430 0 50 S
5810 1410 0 20 S
3240 3050 0 -220 S
1970 4140 10 220 S
1360 2100 0 380 S
5810 1400 0 10 S
5800 1420 10 -20 S
5800 1520 0 -100 S
3230 3280 10 -230 S
1970 3920 0 220 S
5780 1980 10 -280 S
3230 3740 0 -230 S
5770 2510 10 -190 S
5790 1700 10 -180 S
3230 3510 0 -230 S
3220 4180 0 -220 S
5760 3370 0 -230 S
1960 3470 10 220 S
5750 3820 10 -230 S
3210 4600 10 -200 S
5740 4460 10 -420 S
1340 1580 10 220 S
5730 5170 10 -320 S
3200 5120 10 -320 S
5720 5600 0 -170 S
1960 3020 0 220 S
5700 5660 10 10 S
3190 5560 10 -180 S
5690 5340 10 210 S
5780 2320 0 -340 S
5680 4740 0 320 S
3170 5590 10 70 S
5670 3960 0 410 S
1950 2600 0 210 S
5650 3120 10 420 S
3150 4860 10 320 S
5640 2340 10 380 S
1330 1410 10 30 S
5630 1750 10 270 S
3140 4290 10 200 S
5620 1440 0 120 S
1940 2050 10 350 S
5610 1450 0 -50 S
3140 3860 0 220 S
5590 1780 10 -200 S
3130 3430 0 220 S
5580 2640 0 -210 S
1930 1550 0 210 S
5570 3090 0 -230 S
3120 2990 10 220 S
5560 3560 10 -230 S
1330 1420 0 -20 S
5560 4030 0 -230 S
3110 2390 10 390 S
5550 4480 0 -220 S
1910 1470 10 -40 S
5540 5050 10 -370 S
3100 1760 10 290 S
5520 5550 10 -200 S
5510 5680 10 -20 S
3090 1430 0 110 S
5510 5630 0 40 S
1890 2200 0 -320 S
5500 5370 0 200 S
3070 1480 10 -70 S
5480 4720 10 360 S
1320 1610 0 -150 S
5470 3900 10 400 S
3060 1920 10 -260 S
5460 3080 0 410 S
1880 2790 0 -210 S
5450 2330 0 360 S
3050 2450 0 -190 S
5440 1750 0 260 S
5770 2710 0 -200 S
3220 3960 10 -220 S
1970 3690 0 230 S
1350 1800 10 300 S
5770 2920 0 -210 S
3040 2870 10 -220 S
5410 1440 10 -40 S
1870 3230 0 -230 S
5400 1750 10 -190 S
3040 3320 0 -230 S
5390 2320 0 -310 S
1300 2170 10 -320 S
5380 2890 0 -210 S
3030 3780 0 -230 S
5370 3330 0 -220 S
1860 3680 10 -230 S
5360 3780 10 -220 S
3020 4230 10 -230 S
5360 4220 0 -210 S
5760 3140 10 -220 S
5350 4820 10 -390 S
3020 4640 0 -200 S
5340 5410 0 -260 S
1860 4120 0 -220 S
5330 5640 0 -60 S
3010 5170 0 -340 S
5320 5680 0 -10 S
1290 2750 10 -210 S
5310 5560 10 100 S
2990 5590 10 -160 S
5300 5100 0 270 S
1850 4740 0 -400 S
5290 4570 0 190 S
2980 5680 10 -10 S
5280 4160 0 210 S
5760 3590 0 -220 S
3220 4400 0 -220 S
5750 4040 0 -220 S
5270 3260 0 230 S
1830 5360 10 -280 S
5260 2610 0 430 S
2970 5420 10 170 S
5240 1900 10 330 S
1290 3190 0 -220 S
5230 1480 10 170 S
2960 4890 0 300 S
5220 1430 0 -20 S
1820 5620 10 -60 S
5200 1740 10 -200 S
2950 4150 0 390 S
5190 2380 10 -350 S
5180 3000 10 -210 S
2930 3320 10 420 S
5180 3450 0 -230 S
1820 5680 0 -20 S
5170 3900 0 -220 S
2920 2520 10 390 S
5160 4320 10 -210 S
1280 3640 0 -220 S
5150 4890 10 -360 S
2910 1880 0 300 S
5130 5610 20 -400 S
1810 5590 0 80 S
5110 5540 10 110 S
2900 1480 0 170 S
5100 5070 10 270 S
5740 4850 0 -390 S
3210 4800 0 -200 S
1960 3240 0 230 S
2880 1440 10 -40 S
5080 3690 0 220 S
1800 5150 0 260 S
5070 3250 10 220 S
2870 1800 10 -230 S
5070 2810 0 220 S
1270 4090 10 -220 S
5060 2400 0 200 S
2860 2310 0 -190 S
5050 1880 10 330 S
1790 4620 0 190 S
5040 1470 0 160 S
2850 2720 0 -210 S
5020 1440 10 -40 S
5720 5430 10 -260 S
5010 1780 10 -220 S
2840 3180 10 -230 S
5000 2460 0 -370 S
1780 4210 0 210 S
4990 3100 0 -230 S
2840 3650 0 -230 S
4980 3550 0 -230 S
1260 4710 10 -400 S
4970 4010 10 -230 S
2830 4120 0 -230 S
4970 4440 0 -210 S
1770 3770 10 220 S
4960 5000 0 -350 S
2820 4560 10 -220 S
4940 5500 10 -210 S
5710 5670 10 -70 S
3200 5380 0 -260 S
2810 5120 10 -360 S
4930 5670 0 10 S
1770 3320 0 220 S
4920 5500 0 130 S
2800 5590 10 -190 S
4910 4990 0 290 S
1250 5350 10 -280 S
4900 4450 0 190 S
2780 5580 10 90 S
4890 4030 0 210 S
1760 2680 0 410 S
4880 3600 10 210 S
2760 4900 10 290 S
4880 3160 0 220 S
5700 5550 0 110 S
4870 2540 0 400 S
2750 4190 10 370 S
4850 1860 10 310 S
1740 1970 10 330 S
4840 1470 10 150 S
2740 3380 10 410 S
4830 1430 0 -30 S
1240 5650 0 -100 S
4810 1770 10 -210 S
2730 2600 0 380 S
4800 2410 10 -350 S
1730 1520 10 190 S
4790 3030 10 -210 S
2720 1950 0 300 S
4790 3480 0 -220 S
2700 1530 10 180 S
4770 4360 10 -210 S
1720 1400 0 20 S
4760 4930 10 -370 S
2690 1400 10 30 S
4740 5610 20 -370 S
1230 5630 0 50 S
4730 5550 0 100 S
2690 1430 0 -20 S
4710 5090 10 270 S
1710 1440 10 -30 S
4700 4400 10 370 S
2680 1680 0 -190 S
4690 3770 0 220 S
4680 3340 10 220 S
2660 2320 10 -360 S
4680 2720 0 410 S
1710 1650 0 -160 S
4660 2010 10 330 S
2650 2970 10 -220 S
4650 1540 10 200 S
1220 5310 0 190 S
4640 1400 0 20 S
2650 3450 0 -240 S
4630 1430 10 -20 S
1690 2200 10 -310 S
4620 1660 10 -170 S
2640 3930 0 -240 S
4610 2250 10 -330 S
5680 5060 10 280 S
3180 5660 10 -100 S
1950 2810 10 210 S
1340 1440 0 140 S
5670 4370 10 370 S
5660 3540 10 420 S
3160 5180 10 410 S
1680 2770 10 -200 S
4590 3760 0 -230 S
2620 4990 10 -380 S
4580 4200 0 -220 S
1200 4730 10 320 S
4570 4810 10 -390 S
2610 5530 0 -220 S
4560 5410 0 -260 S
1680 3200 0 -220 S
4550 5640 0 -50 S
2600 5680 0 -20 S
4540 5680 0 -10 S
5650 2720 0 400 S
4530 5590 10 80 S
2590 5640 0 30 S
4520 5200 10 230 S
1670 3630 0 -220 S
4510 4550 0 350 S
2580 5420 10 160 S
4500 3760 0 410 S
1190 3990 10 390 S
4480 2930 10 410 S
2570 4920 0 280 S
4470 2200 10 340 S
1660 4070 10 -220 S
4460 1660 10 240 S
2560 4210 0 370 S
4450 1440 0 60 S
2550 3410 0 410 S
4430 1530 10 -110 S
1650 4660 10 -380 S
4420 2010 10 -280 S
2530 2630 10 380 S
4410 2570 0 -200 S
1180 3190 10 400 S
4400 3000 10 -220 S
2520 1980 10 300 S
4400 3460 0 -230 S
1640 5270 10 -280 S
4390 3920 0 -230 S
2510 1550 10 180 S
4380 4570 10 -430 S
5640 2020 0 320 S
3150 4490 0 370 S
1950 2400 0 200 S
4370 5260 0 -320 S
2500 1410 0 30 S
4350 5630 10 -140 S
1630 5620 10 -130 S
4340 5630 10 50 S
2500 1410 0 -10 S
4330 5290 0 210 S
1170 2430 0 370 S
4320 4660 0 340 S
2490 1570 0 -130 S
4310 4060 0 210 S
1620 5650 0 30 S
4300 3640 0 210 S
2470 2080 10 -290 S
4290 2990 10 430 S
5620 1560 10 190 S
2460 2630 10 -190 S
4260 1500 10 410 S
1610 5350 0 190 S
4240 1520 10 -110 S
2460 3050 0 -210 S
4230 2020 0 -300 S
1600 5090 10 260 S
K
5860 1420 30 10 0 -40 -20 -10 f
255 0 r3
4210 2820 10 -220 S
K
5750 1480 50 -40 -20 -40 -60 50 f
255 0 r3
2450 3720 0 -220 S
K
5400 2310 100 -310 -40 -10 ^ f
255 0 r3
4200 3770 0 -240 S
K
5190 3140 50 -220 -40 -10 ^ f
255 0 r3
1150 1620 10 210 S
K
4980 4030 60 -220 -40 -10 ^ f
255 0 r3
4180 4670 10 -210 S
K
4680 5150 100 -320 -40 -10 ^ f
255 0 r3
2430 4930 0 -360 S
K
4360 5690 50 -40 -20 -30 -50 30 f
255 0 r3
4160 5560 10 -210 S
K
4240 5690 20 10 20 -40 -30 -10 f
255 0 r3
1570 3580 10 420 S
K
3910 5120 110 270 30 -20 -100 -260 f
255 0 r3
4150 5660 0 20 S
K
3610 4000 40 200 40 -10 ^ f
255 0 r3
2400 5680 10 -60 S
K
3390 3080 50 230 50 -10 -60 -230 f
255 0 r3
4120 4750 10 330 S
K
3090 1960 100 330 40 -10 ^ f
2830 1460 60 70 30 -30 -60 -60 f
2780 1430 60 40 20 -40 -60 -30 f
255 0 r3
4100 3530 10 210 S
K
2700 1430 30 -10 -10 -40 ^ f
255 0 r3
2380 4990 0 310 S
K
2510 1680 50 -90 -40 -20 ^ f
255 0 r3
4080 2310 10 380 S
K
2150 2850 50 -190 -50 -10 -40 190 f
255 0 r3
1550 2000 10 340 S
K
1940 3730 50 -220 -40 -10 ^ f
255 0 r3
4060 1420 10 110 S
K
1730 4590 50 -200 -40 -10 ^ f
255 0 r3
2360 3750 0 230 S
K
1370 5570 100 -190 -30 -20 -110 190 f
255 0 r3
4020 2540 10 -370 S
K
1200 5700 30 -10 -10 -40 ^ f
255 0 r3
1120 1580 10 -140 S
K
1030 5610 50 50 30 -30 ^ f
255 0 r3
4010 3390 0 -220 S
255 0 r6
5900 4560 20 200 20 0 -10 -200 f
255 0 r3
2340 2830 10 230 S
255 0 r6
5850 3710 10 210 30 0 ^ f
255 0 r3
4000 4270 0 -210 S
255 0 r6
5780 2460 20 400 30 0 -30 -400 f
255 0 r3
1530 1420 0 40 S
255 0 r6
5670 1450 30 130 20 0 -20 -140 f
255 0 r3
3970 5520 10 -200 S
255 0 r6
5650 1410 10 10 10 -30 f
255 0 r3
2320 1760 10 290 S
255 0 r6
5650 1450 10 -20 -30 -10 ^ f
255 0 r3
3940 5460 10 150 S
255 0 r6
5550 2450 20 -370 -20 -10 -30 380 f
255 0 r3
5610 1400 10 40 S
3140 4080 0 210 S
3920 4530 10 380 S
3920 4110 0 420 S
255 0 r6
5400 4890 20 -340 -30 -10 -20 350 f
255 0 r3
2300 1410 10 -10 S
255 0 r6
5290 5680 30 -70 -30 -10 ^ f
255 0 r3
3900 3200 10 230 S
255 0 r6
5240 5650 0 20 30 -10 -10 -20 f
255 0 r3
1510 1680 10 -180 S
255 0 r6
5160 5030 20 290 30 0 ^ f
255 0 r3
3890 2350 0 200 S
255 0 r6
5080 3850 10 220 30 0 ^ f
255 0 r3
2280 1930 10 -270 S
255 0 r6
5030 2960 10 220 30 0 ^ f
255 0 r3
3860 1420 10 100 S
255 0 r6
4950 1840 30 310 20 0 -20 -310 f
255 0 r3
1100 2510 10 -200 S
255 0 r6
4870 1410 20 20 20 -20 -10 -20 f
255 0 r3
3850 1500 0 -60 S
255 0 r6
4870 1440 10 -20 -30 -10 0 20 f
255 0 r3
2260 3100 10 -230 S
255 0 r6
4770 2410 30 -350 -30 0 ^ f
255 0 r3
3820 2690 10 -400 S
255 0 r6
4700 3640 10 -210 -30 0 ^ f
255 0 r3
1490 2680 0 -200 S
255 0 r6
4640 4500 20 -210 -30 -10 -10 210 f
255 0 r3
3810 3550 0 -220 S
255 0 r6
4560 5450 30 -250 -30 0 -20 250 f
255 0 r3
2250 4010 0 -230 S
255 0 r6
4470 5670 10 20 20 -20 ^ f
255 0 r3
3800 4410 0 -210 S
255 0 r6
4390 5110 20 270 30 0 -30 -270 f
4320 4150 10 200 30 0 ^ f
4310 3940 10 210 30 0 ^ f
255 0 r3
3770 5570 10 -190 S
255 0 r6
4260 3080 10 210 30 0 ^ f
255 0 r3
2230 5170 10 -330 S
255 0 r6
4180 1910 20 350 30 0 -30 -350 f
255 0 r3
3760 5670 0 10 S
255 0 r6
4100 1410 10 20 20 -10 ^ f
255 0 r3
1480 3570 0 -220 S
255 0 r6
4100 1430 0 -10 -20 -10 -10 10 f
255 0 r3
3730 4840 10 320 S
255 0 r6
4000 2350 20 -350 -30 0 -20 340 f
255 0 r3
2210 5680 0 -30 S
255 0 r6
3940 3170 20 -220 -30 0 -10 220 f
255 0 r3
3710 3230 10 400 S
255 0 r6
3890 4080 10 -230 -20 0 -20 230 f
255 0 r3
1090 3400 0 -230 S
255 0 r6
3840 4890 10 -190 -30 0 ^ f
255 0 r3
3690 1840 0 280 S
255 0 r6
3730 5680 30 -70 -30 -10 -20 70 f
255 0 r3
2190 5310 0 220 S
255 0 r6
3560 4420 30 400 20 0 -20 -410 f
255 0 r3
3670 1410 0 20 S
255 0 r6
3500 3500 20 230 30 0 ^ f
255 0 r3
1460 4460 10 -210 S
255 0 r6
3450 2620 10 210 30 0 ^ f
255 0 r3
3650 1660 10 -160 S
255 0 r6
3350 1500 20 170 30 0 ^ f
255 0 r3
2160 3890 10 390 S
255 0 r6
3320 1420 10 -10 -10 -20 ^ f
255 0 r3
3630 2890 0 -370 S
255 0 r6
3220 2280 30 -340 -30 0 ^ f
255 0 r3
5600 1580 10 -130 S
255 0 r6
3150 3510 10 -210 -30 -10 -10 220 f
255 0 r3
3610 3830 10 -240 S
255 0 r6
3090 4390 20 -220 -30 0 -10 220 f
255 0 r3
2140 2330 10 350 S
255 0 r6
3010 5400 30 -270 -30 0 -20 270 f
255 0 r3
3600 4700 0 -200 S
255 0 r6
2920 5690 10 0 10 -20 -10 -10 f
255 0 r3
1440 5430 10 -250 S
255 0 r6
2830 5160 30 260 30 0 -30 -270 f
255 0 r3
3570 5660 10 -100 S
255 0 r6
2730 3600 30 410 20 0 -20 -410 f
255 0 r3
2120 1440 0 120 S
255 0 r6
2660 2370 10 210 30 0 -20 -210 f
255 0 r3
3560 5570 0 60 S
255 0 r6
2570 1510 30 200 30 0 ^ f
255 0 r3
1080 4310 0 -220 S
255 0 r6
2540 1390 10 30 re
f
255 0 r3
3530 4300 10 420 S
255 0 r6
2450 2140 30 -300 -30 0 -20 300 f
255 0 r3
2100 1440 10 -30 S
255 0 r6
2380 3370 10 -230 -30 0 ^ f
255 0 r3
3520 3370 0 240 S
255 0 r6
2320 4280 20 -220 -30 0 ^ f
255 0 r3
1420 5530 0 120 S
255 0 r6
2240 5340 30 -280 -30 -10 -30 290 f
255 0 r3
3500 2510 10 200 S
255 0 r6
2150 5660 10 30 re
f
255 0 r3
2080 2290 10 -310 S
255 0 r6
2070 5270 20 210 30 -10 -30 -200 f
255 0 r3
3480 1450 0 150 S
255 0 r6
1990 4150 10 220 30 0 -20 -220 f
1950 3470 10 220 30 0 -20 -230 f
1930 3240 20 230 20 -10 -10 -220 f
255 0 r3
3460 1450 10 -40 S
255 0 r6
1850 2040 30 360 30 0 ^ f
255 0 r3
2070 3140 0 -220 S
255 0 r6
1780 1430 10 50 30 -10 -20 -50 f
255 0 r3
3440 2490 10 -370 S
255 0 r6
1770 1420 0 -10 -10 -20 f
255 0 r3
1390 4250 10 410 S
255 0 r6
1670 2170 30 -310 -30 0 -20 310 f
255 0 r3
3430 3350 0 -230 S
255 0 r6
1580 3740 20 -420 -30 0 ^ f
255 0 r3
2050 4060 10 -220 S
255 0 r6
1520 4610 20 -210 -30 0 -10 210 f
255 0 r3
3410 4240 10 -220 S
255 0 r6
1420 5640 20 -130 -20 -10 -30 140 f
255 0 r3
1060 5370 0 -290 S
255 0 r6
1380 5690 0 -30 f
255 0 r3
3390 5470 0 -220 S
255 0 r6
1280 5230 30 240 30 -10 ^ f
255 0 r3
2040 4890 0 -190 S
255 0 r6
1180 3760 30 390 20 0 -20 -400 f
255 0 r3
3360 5560 10 100 S
255 0 r6
1110 2520 10 210 30 0 ^ f
255 0 r3
1380 3340 0 230 S
255 0 r6
1030 1590 30 230 20 0 -20 -230 f
255 0 r3
3340 4460 10 360 S
5970 2350 10 -360 S
2010 5680 10 -60 S
5960 3210 0 -230 S
3310 2830 10 400 S
5940 4130 10 -230 S
5590 2060 0 -280 S
3130 3650 10 210 S
1930 1760 10 290 S
1330 1400 0 10 S
5580 2240 10 -180 S
5580 2430 0 -190 S
5570 2860 10 -220 S
3130 3210 0 220 S
5570 3330 0 -240 S
5560 3800 0 -240 S
3120 2780 0 210 S
1920 1430 10 120 S
5550 4260 10 -230 S
5550 4680 0 -200 S
3110 2050 0 340 S
5530 5350 10 -300 S
5520 5660 0 -110 S
3090 1540 10 220 S
1890 1880 20 -410 S
1320 1460 10 -40 S
5510 5670 0 10 S
5500 5570 10 60 S
3080 1410 10 20 S
5490 5080 10 290 S
5480 4300 0 420 S
3070 1660 0 -180 S
1880 2580 10 -380 S
5460 3490 10 410 S
5450 2690 10 390 S
3050 2260 10 -340 S
5440 2010 10 320 S
5430 1560 10 190 S
3050 2650 0 -200 S
1870 3000 10 -210 S
1310 1850 10 -240 S
5420 1440 10 120 S
5420 1400 0 40 S
5410 1560 0 -120 S
3040 3090 0 -220 S
5390 2010 10 -260 S
5380 2680 10 -360 S
3030 3550 10 -230 S
1870 3450 0 -220 S
5370 3110 10 -220 S
5370 3560 0 -230 S
3030 4000 0 -220 S
5360 4010 0 -230 S
5360 4430 0 -210 S
3020 4440 0 -210 S
1860 3900 0 -220 S
1300 2540 0 -370 S
5340 5150 10 -330 S
5330 5580 10 -170 S
3010 4830 10 -190 S
5320 5670 10 -30 S
5320 5660 0 20 S
3000 5430 10 -260 S
1850 4340 10 -220 S
5300 5370 10 190 S
5290 4760 10 340 S
2990 5670 0 -80 S
5280 4370 10 200 S
2980 5640 0 30 S
2980 5590 0 50 S
5250 2230 10 380 S
1830 5560 0 -200 S
5220 1410 10 70 S
2950 4540 10 350 S
5200 2030 0 -290 S
1280 3420 10 -230 S
5180 3220 0 -220 S
2930 2910 0 410 S
5170 4110 0 -210 S
1810 5670 10 10 S
5150 5210 0 -320 S
2900 1650 10 230 S
5110 5340 0 200 S
5090 4340 0 390 S
5080 3910 10 430 S
2880 1570 0 -130 S
5070 3030 0 220 S
1790 4810 10 340 S
5060 2210 0 190 S
2850 2510 10 -200 S
5030 1400 10 70 S
1270 4310 0 -220 S
5000 2090 10 -310 S
2840 3420 0 -240 S
4980 3320 10 -220 S
1780 3990 0 220 S
4970 4230 0 -220 S
2830 4340 0 -220 S
4950 5290 10 -290 S
4930 5680 0 -10 S
2810 5400 0 -280 S
4910 5280 10 220 S
1760 3090 10 230 S
4890 4240 10 210 S
2770 5190 10 390 S
4880 3380 0 220 S
1240 5550 10 -200 S
4860 2170 10 370 S
2750 3790 0 400 S
4830 1400 10 70 S
1740 1710 0 260 S
4810 2060 0 -290 S
2720 2250 10 350 S
4790 3260 0 -230 S
4780 3930 0 -230 S
4780 4150 0 -220 S
2700 1430 0 100 S
4760 5240 0 -310 S
1720 1410 0 -10 S
4720 5360 10 190 S
2680 1490 10 -60 S
4690 3990 10 410 S
1220 5500 10 130 S
4680 3130 0 210 S
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 @endspecial 959 3521 a Fo(Slik)-6 b(a)35 b(1.)47 b Fn(Primjer)30
b(titra)5 b(ju)m(\023)-43 b(ceg)33 b(niza.)293 3831 y
FH(Gore)k(de\014niran)g(niz)h(je)d Fw(\024)-46 b(cist)p
FH(,)38 b(o)s(dnosno)f(pripadna)h(H-mjera)f(je)g(jedinstv)m(ena)i(za)e
(sv)-5 b(aki)38 b(njego)m(v)71 3950 y(p)s(o)s(dniz.)50
b(Nadalje,)36 b(doti)m(\024)-46 b(cna)35 b(H-mjera)g(je)g(k)m(om)m
(binacija)h(Diraco)m(vih)f(masa)g(u)g(dualnom)h(prostoru,)f(te)71
4068 y(Leb)s(esgueo)m(v)m(e)g(mjere)e FB(\025)g FH(u)f(\014zik)-5
b(alnom)34 b(prostoru,)f(to)m(\024)-46 b(cnije)1256 4377
y FB(\026)p FH(\()p FI(x)p FB(;)17 b FA(\030)s FH(\))27
b(=)1774 4282 y Fu(X)1678 4510 y Fm(k)p FD(2)p Ft(Z)1821
4489 y Fs(d)1860 4510 y FD(nf)p FC(0)p FD(g)2030 4377
y FE(j)p FB(v)2105 4395 y Fm(k)2146 4377 y FE(j)2174
4336 y FC(2)2217 4377 y FB(\025)p FH(\()p FI(x)p FH(\))17
b FB(\016)2498 4375 y Fl(k)p 2478 4389 64 4 v 2478 4435
a Fq(j)p Fl(k)p Fq(j)2556 4377 y FH(\()p FA(\030)s FH(\))p
FB(;)71 4812 y FH(gdje)33 b(su)g FB(v)452 4829 y Fm(k)526
4812 y FH(F)-8 b(ouriero)m(vi)33 b(k)m(o)s(e\014cijen)m(ti)i(funk)m
(cije)f FB(v)i FH(\()p FB(v)t FH(\()p FI(x)p FH(\))27
b(=)2318 4737 y Fu(P)2280 4915 y Fm(k)p FD(2)p Ft(Z)2423
4894 y Fs(d)2478 4812 y FB(v)2525 4829 y Fm(k)2567 4812
y FB(e)2612 4776 y FC(2)p FF(\031)s(i)p Fm(k)p FD(\001)p
Ft(x)2833 4812 y FH(\).)p 3868 4999 30 43 v 71 5222 a
FI(Primjer)39 b(2.)103 b(\(Koncen)m(tracija\))34 b FH(Za)f(zadan)m(u)i
(funk)m(ciju)g FB(v)f FE(2)c FH(L)2569 5186 y FC(2)2611
5222 y FH(\()p FI(R)2733 5186 y FF(d)2777 5222 y FH(\))k(de\014niramo)g
(slab)s(o)g(k)m(on)m(v)m(er-)71 5341 y(gen)m(tan)f(niz)1596
5557 y FB(u)1652 5572 y FF(n)1702 5557 y FH(\()p FI(x)p
FH(\))28 b(:=)f FB(n)2063 5486 y Fs(d)p 2063 5500 35
4 v 2064 5542 a Fv(2)2112 5557 y FB(v)20 b FH(\()p FB(n)p
FI(x)p FH(\))71 5811 y(\(vidi)33 b(Sliku)h(2\).)3817
6010 y Fz(5)p eop end
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TeXDict begin 6 11 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
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0 @llx 0 @lly 704 @urx 632 @ury 2267 @rwi 1700 @rhi @setspecial
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 @endspecial 723 1765 a Fo(Slik)-6 b(a)35 b(2.)47 b Fn(Primjer)30
b(k)m(oncen)m(tracijsk)m(og)j(niza.)57 2054 y FH(De\014nirani)e(niz)h
(je)f(tak)m(od)p 973 2002 30 2 v 1 w(er)e(\024)-46 b(cist,)32
b(i)f(pripadna)h(H-mjera)e(je)i(oblik)-5 b(a)31 b FB(\016)2603
2069 y FC(0)2646 2054 y FH(\()p FI(x)p FH(\))p FB(\027)6
b FH(\()p FA(\030)s FH(\),)31 b(gdje)g(je)h FB(\027)37
b FH(mjera)-165 2173 y(na)32 b(S)24 2137 y FF(d)101 2173
y FH(s)h(p)s(o)m(vr)-5 b(\024)-44 b(sinsk)m(om)35 b(gusto)m(\023)-46
b(com)1190 2458 y FB(\027)6 b FH(\()p FA(\030)s FH(\))28
b(=)1505 2322 y Fu(Z)1605 2348 y FD(1)1561 2548 y FC(0)1702
2458 y FE(j)t FH(^)-53 b FB(v)t FH(\()p FB(t)p FA(\030)s
FH(\))p FE(j)1974 2416 y FC(2)2016 2458 y FB(t)2051 2416
y FF(d)p FD(\000)p FC(1)2193 2458 y FB(dt;)-165 2740
y FH(o)s(dnosno)974 2900 y FB(\026)p FH(\()p FI(x)p FB(;)17
b FA(\030)s FH(\))27 b(=)1396 2765 y Fu(Z)1451 2990 y
Ft(R)1517 2969 y Fs(d)1577 2900 y FE(j)t FH(^)-53 b FB(v)t
FH(\()p FA(\021)t FH(\))p FE(j)1824 2859 y FC(2)1865
2900 y FB(\016)1938 2892 y Fk(\021)p 1918 2909 82 4 v
1918 2956 a Fq(j)p Fk(\021)r Fq(j)2014 2900 y FH(\()p
FA(\030)s FH(\))p FB(\016)2187 2915 y Fm(0)2229 2900
y FH(\()p FI(x)p FH(\))17 b FB(d)p FA(\021)t FB(;)-165
3141 y FH(pri)30 b(\024)-46 b(cem)m(u)33 b(je)g(s)k(^)-53
b FB(v)36 b FH(ozna)m(\024)-46 b(cena)34 b(F)-8 b(ouriero)m(v)j(a)32
b(pretv)m(orba)h(funk)m(cije)h FB(v)t FH(.)p 3632 3184
30 43 v 57 3343 a(Direktna)46 b(p)s(osljedica)h(teorema)g(p)s(osto)5
b(janja)45 b(je)i(da)f(je)g(H-mjera)g(pridru)m(\024)-46
b(zena)47 b(L)3166 3306 y FC(2)3255 3343 y FH(jak)m(o)f(k)m(on-)-165
3461 y(v)m(ergen)m(tnim)41 b(nizo)m(vima)g(trivijalna.)65
b(Obrat)39 b(te)e(\024)-46 b(cinjenice)41 b(op)m(\023)-46
b(cenito)40 b(ne)g(vrijedi,)i(k)-5 b(ao)34 b(\024)-44
b(sto)40 b(p)s(ok)-5 b(azuje)-165 3580 y(sljede)m(\023)-46
b(ci)34 b(primjer.)-165 3764 y FI(Primjer)g(3.)141 b
FH(P)m(olaze)m(\023)-46 b(ci)32 b(o)s(d)e(funk)m(cije)h
FB(v)t FH(\()p FB(x)p FH(\))d(=)1715 3725 y FC(1)p 1670
3741 129 4 v 1670 3799 a(2)p FF(\031)s(x)1825 3764 y
FH(sin)18 b(2)p FB(\031)t(x)p FH(,)31 b(k)m(o)5 b(ja)30
b(je)g(u)g(prostoru)h(L)3031 3728 y FC(2)3073 3764 y
FH(\()p FI(R)p FH(\))17 b FE(\\)g FH(L)3394 3728 y FD(1)3475
3764 y FH(\()p FI(R)p FH(\))o(,)-165 3883 y(ali)32 b(ne)h(i)g(u)g(L)308
3847 y FC(1)350 3883 y FH(\()p FI(R)p FH(\))o(,)g(de\014niramo)g(niz)h
(L)1270 3847 y FC(2)1345 3883 y FH(funk)m(cija)1196 4176
y FB(u)1252 4191 y FF(n)1301 4176 y FH(\()p FB(x)p FH(\))28
b(:=)1654 4109 y FB(n)p 1601 4153 164 4 v 1601 4244 a
FH(2)p FB(\031)t(x)1791 4176 y FH(sin)1927 4036 y Fu(\022)2010
4109 y FH(2)p FB(\031)t(x)p 2010 4153 V 2042 4244 a(n)2100
4216 y FC(2)2184 4036 y Fu(\023)2273 4176 y FB(:)-165
4479 y FH(L)-104 4443 y FC(2)-32 4479 y FH(norme)j(funk)m(cija)g
FB(u)686 4494 y FF(n)765 4479 y FH(su)g(k)m(onstan)m(te)h(jednak)m(e)f
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%%Page: 7 13
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3045 y FF(n)2111 3030 y FH(trivijalna.)p 3868 3073 30
43 v 293 3288 a(Gore)46 b(na)m(v)m(edeni)i(primjer,)j(o)s(dnosno)46
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%%Page: 8 14
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882 y FC(\()p Ft(R)2440 860 y Fs(d)2479 882 y FC(\))2513
853 y FE(k)p FB( )t FE(k)2679 882 y FC(L)2727 860 y Fq(1)2798
882 y FC(\()p Ft(R)2894 860 y Fs(d)2932 882 y FC(\))2966
853 y FE(k)p FB(v)t FE(k)3117 882 y FC(L)3165 860 y Fv(2)3202
882 y FC(\()p Ft(R)3298 860 y Fs(d)3337 882 y FC(\))3382
853 y FE(!)27 b FH(0)p FB(:)-165 1127 y FH(Gornja)k(k)m(on)m(v)m
(ergencija)k(p)s(o)m(vla)m(\024)-46 b(ci)33 b(da)g(je)g(niz)g
FB(u)1558 1142 y FF(n)1638 1127 y FH(\024)-46 b(cist,)33
b(a)f(pripadna)h(H-mjera)f(trivijalna.)57 1272 y(Izneseno)40
b(p)s(o)s(op)m(\023)-46 b(cenje)38 b(napra)m(vljeno)h(je)f(prou)m(\024)
-46 b(ca)m(v)-5 b(anjem)39 b(fenomena)f(suprotnog)g(k)m(oncen)m
(traciji,)-165 1391 y(k)m(o)5 b(jeg)43 b(mo)m(\024)-46
b(zemo)44 b(nazv)-5 b(ati)43 b Fw(disp)s(erzijom)p FH(.)75
b(Sli)m(\024)-46 b(cni)44 b(rezultati)f(se)h(dobiju)f(ak)m(o)g(se)g
(uzme)h FB(v)49 b FE(2)c FH(L)3388 1354 y FC(2)3388 1415
y(c)3431 1391 y FH(\()p FI(R)3553 1354 y FF(d)3596 1391
y FH(\),)-165 1509 y(te)e(de\014nira)i(niz)f(funk)m(cija)g
FB(u)926 1524 y FF(n)976 1509 y FH(\()p FI(x)p FH(\))j(=)f
FB(v)t FH(\()p FI(x)29 b FE(\000)i FB(n)p FL(e)p FH(\),)46
b FL(e)e FH(je)g(jedini)m(\024)-46 b(cni)45 b(v)m(ektor,)g(\024)-46
b(ciji)43 b(nosa)m(\024)-46 b(ci)45 b(se)f(sv)m(e)h(vi)-5
b(\024)-44 b(se)-165 1628 y(udaljuju)28 b(o)s(d)f(isho)s(di)-5
b(\024)-44 b(sta.)43 b(U)28 b(oba)g(slu)m(\024)-46 b(ca)5
b(ja)29 b(dolazi)f(do)g(izra)m(\024)-46 b(za)5 b(ja)28
b(lok)-5 b(alna)28 b(nara)m(v)g(H-mjera,)h(k)m(o)5 b(ja)28
b(ne)h(vidi)-165 1747 y(informacije)j(k)m(o)5 b(je)33
b(p)s(ob)5 b(jegn)m(u)32 b(u)g(b)s(esk)m(ona)m(\024)-46
b(cnost.)45 b(Stoga)31 b(su)i(i)e(pripadne)i(H-mjere)f(trivijalne,)h
(iak)m(o)f(su)-165 1865 y(generirane)h(nizo)m(vima)h(k)m(o)5
b(ji)33 b(k)m(on)m(v)m(ergira)5 b(ju)35 b(k)e(n)m(uli)g(slab)s(o,)g
(ali)g(ne)g(i)f(jak)m(o)h(u)g(L)2712 1829 y FC(2)2754
1865 y FH(\()p FI(R)2876 1829 y FF(d)2920 1865 y FH(\))o(.)57
1985 y(Med)p 209 1933 30 2 v 1 w(utim,)g(uk)m(olik)m(o)h(je)e(H-mjera)g
(pridru)m(\024)-46 b(zena)34 b(nizu)f FB(u)2079 2000
y FF(n)2161 1985 y FH(trivijalna,)g(onda)f(niz)h(\()p
FB(u)3100 2000 y FF(n)3150 1985 y FH(\))f(k)m(on)m(v)m(ergira)-165
2104 y(k)h(n)m(uli)g(jak)m(o)g(u)f(L)467 2067 y FC(2)467
2135 y(lo)r(c)567 2104 y FH(\()p FI(R)689 2067 y FF(d)733
2104 y FH(\).)892 2446 y Fy(3.)60 b(Osno)l(vna)45 b(sv)l(o)7
b(jstv)-7 b(a)46 b(H-mjera)57 2652 y FH(H-mjere)34 b(su)h(k)-5
b(arakterizirane)36 b(s)f(dv)-5 b(a)34 b(v)-5 b(a)m(\024)-46
b(zna)34 b(sv)m(o)5 b(jstv)-5 b(a:)49 b(lok)-5 b(alizacijskim)36
b(i)e(prijenosnim.)51 b(Prv)m(o)-165 2771 y(opisuje)27
b(nosa)m(\024)-46 b(c)28 b(H-mjere,)g(o)s(dnosno)f(o)s(dred)p
1398 2719 V(uje)g(skup)i(to)m(\024)-46 b(cak)-5 b(a)26
b(na)h(k)m(o)5 b(jem)28 b(je)f(mjera)g(no)-5 b(\024)-44
b(sena,)28 b(dok)g(drugo)-165 2890 y(omogu)m(\023)-46
b(cuje)33 b(prou)m(\024)-46 b(ca)m(v)-5 b(anje)28 b(\024)-44
b(sirenja)33 b(k)m(oncen)m(tracijskih)j(i)c(oscilacijskih)j(p)s(o)5
b(ja)m(v)-5 b(a.)57 3009 y(Op)m(\023)-46 b(ci)26 b(oblik)h(lok)-5
b(alizacijsk)m(og)27 b(sv)m(o)5 b(jstv)-5 b(a)27 b(isk)-5
b(azan)27 b(je)f(sljede)m(\023)-46 b(cim)28 b(teoremom)e(\(za)g(dok)-5
b(az)26 b(vidi)h([G1]\).)-165 3180 y FI(T)-9 b(eorem)28
b(2.)56 b(\(Lok)-6 b(alizacijsk)m(o)29 b(sv)m(o)6 b(jstv)m(o\))25
b Fw(Nek)-5 b(a)24 b(je)h FH(\012)f Fw(otv)m(oren)h(skup)h(u)e
FI(R)2733 3144 y FF(d)2777 3180 y Fw(,)i(te)e FI(P)11
b FH(:)g(L)3122 3144 y FC(2)3122 3212 y(lo)r(c)3222 3180
y FH(\(\012;)17 b FI(C)3455 3144 y FF(r)3496 3180 y FH(\))28
b FE(!)-165 3299 y FH(H)-92 3257 y FD(\000)p FF(m)-92
3332 y FC(lo)r(c)39 3299 y FH(\(\012;)17 b FI(C)272 3262
y FF(r)313 3299 y FH(\))33 b Fw(diferencijalni)h(op)s(erator)e(zadan)g
(form)m(ulom)1098 3547 y FI(P)p FL(u)p FH(\()p FI(x)p
FH(\))27 b(=)1528 3452 y Fu(X)1491 3674 y FD(j)p FF(\013)p
FD(j)p Fj(6)p FF(m)1727 3547 y FB(@)1783 3506 y FF(\013)1837
3547 y FH(\()p FI(A)1960 3562 y FF(\013)2013 3547 y FH(\()p
FI(x)p FH(\))p FL(u)p FH(\()p FI(x)p FH(\)\))p FB(;)-165
3888 y Fw(pri)33 b(\024)-46 b(cem)m(u)36 b(su)g FI(A)457
3903 y FF(\013)546 3888 y Fw(omed)p 739 3836 V 1 w(eni,)h(neprekidni)g
(\(matri)m(\024)-46 b(cni\))36 b(k)m(o)s(e\014cijen)m(ti.)54
b(Pretp)s(osta)m(vimo)37 b(nadalje)f(da)f(je)-165 4007
y FH(\()p FL(u)-77 4022 y FF(n)-27 4007 y FH(\))30 b
Fw(\024)-46 b(cisti)33 b(niz)g(u)g FH(L)555 3970 y FC(2)555
4038 y(lo)r(c)655 4007 y FH(\(\012;)17 b FI(C)888 3970
y FF(r)929 4007 y FH(\))p Fw(,)33 b(k)m(o)5 b(ji)33 b(zado)m(v)m(olja)m
(v)-5 b(a)33 b(diferencijaln)m(u)h(relaciju)1540 4227
y FI(P)p FL(u)1667 4242 y FF(n)1745 4227 y FH(=)27 b
FL(f)1878 4242 y FF(n)1929 4227 y FB(;)-165 4448 y Fw(pri)j(\024)-46
b(cem)m(u)33 b FL(f)268 4463 y FF(n)346 4448 y FE(!)28
b FL(0)k Fw(jak)m(o)h(u)f FH(H)923 4407 y FD(\000)p FF(m)923
4481 y FC(lo)r(c)1055 4448 y FH(\(\012;)17 b FI(C)1288
4412 y FF(r)1329 4448 y FH(\))p Fw(.)43 b(T)-8 b(ada)33
b(na)f FH(\012)23 b FE(\002)g FH(S)2066 4412 y FF(d)p
FD(\000)p FC(1)2240 4448 y Fw(vrijedi)34 b(relacija)1574
4668 y FI(p)p FA(\026)28 b FH(=)f FI(0)p FB(;)-165 4889
y Fw(gdje)42 b(je)h FI(p)p FH(\()p FI(x)p FB(;)17 b FA(\030)s
FH(\))44 b(=)628 4814 y Fu(P)734 4918 y FD(j)p FF(\013)p
FD(j)p FC(=)p FF(m)974 4889 y FA(\030)1028 4853 y FF(\013)1081
4889 y FI(A)1166 4904 y FF(\013)1219 4889 y FH(\()p FI(x)p
FH(\))e Fw(gla)m(vni)h(sim)m(b)s(ol)h(op)s(eratora)d
FI(P)p Fw(,)k(a)d FA(\026)g Fw(H-mjera)g(pridru)m(\024)-46
b(zena)-165 5020 y(nizu)29 b FH(\()p FL(u)130 5035 y
FF(n)180 5020 y FH(\))p Fw(.)42 b(Drugim)29 b(rije)m(\024)-46
b(cima,)30 b(nosa)m(\024)-46 b(c)29 b(H-mjere)g FA(\026)f
Fw(je)g(sadr)m(\024)-46 b(zan)29 b(u)g(skupu)h(na)f(k)m(o)5
b(jem)29 b(je)g FI(p)g Fw(singularno.)p 3632 5182 30
43 v 57 5327 a FH(Prilik)m(om)44 b(pridru)m(\024)-46
b(ziv)-5 b(anja)44 b(H-mjere)g(nizu)g(funk)m(cija)g FL(u)2107
5342 y FF(n)2204 5327 y FE(2)i FH(L)2377 5291 y FC(2)2377
5359 y(lo)r(c)2477 5327 y FH(\(\012;)17 b FI(C)2710 5291
y FF(r)2751 5327 y FH(\))43 b(u)h(gornjem)f(teorem)m(u)-165
5455 y(implicitno)31 b(pretp)s(osta)m(vljamo)g(da)f(su)h(one)g
(de\014nirane)g(na)g(cijelom)g FI(R)2441 5419 y FF(d)2484
5455 y FH(.)43 b(Uk)m(olik)m(o)31 b FL(u)2956 5470 y
FF(n)3037 5455 y FH(nema)5 b(ju)31 b(nosa)m(\024)-46
b(ce)-165 5574 y(sadr)m(\024)g(zane)49 b(u)g(k)m(ompaktnom)g(skupu)h
(un)m(utar)f(\012,)k(mo)m(\024)-46 b(zemo)49 b(p)s(omno)m(\024)-46
b(ziti)49 b(diferencijaln)m(u)h(relaciju)f(iz)-165 5692
y(isk)-5 b(aza)40 b(teorema)g(test)g(funk)m(cijom)h FB(\036)f
FE(2)g FH(C)1436 5656 y FD(1)1436 5717 y FF(c)1517 5692
y FH(\(\012\))q(.)64 b(F)-8 b(unk)m(cije)41 b FL(u)2201
5707 y FF(n)2292 5692 y FH(se)f(zatim)g(pro)-5 b(\024)-44
b(sire)41 b(n)m(ulom)f(na)g(cijeli)-165 5811 y FI(R)-81
5775 y FF(d)-38 5811 y FH(,)33 b(pri)d(\024)-46 b(cem)m(u)34
b(uv)m(edeno)g(pro)-5 b(\024)-44 b(sirenje)34 b(i)e(dalje)h(ozna)m
(\024)-46 b(cujemo)33 b(jednak)m(o.)-165 6010 y Fz(8)p
eop end
%%Page: 9 15
TeXDict begin 9 14 bop 3607 -116 a Fx(H-mjere)293 83
y FH(Nap)s(omenimo)41 b(da)g(uk)m(olik)m(o)h(je)f(diferencijalni)h(op)s
(erator)e FI(P)g FH(elipti)m(\024)-46 b(can,)44 b(o)s(dnosno)d(uk)m
(olik)m(o)h(niz)71 202 y(funk)m(cija)i FL(u)500 217 y
FF(n)596 202 y FE(2)i FH(L)769 166 y FC(2)769 233 y(lo)r(c)869
202 y FH(\()p FI(R)991 166 y FF(d)1035 202 y FH(;)17
b FI(C)1160 166 y FF(r)1200 202 y FH(\))43 b(rje)-5 b(\024)-44
b(sa)m(v)-5 b(a)44 b(niz)g(zada)m(\023)-46 b(ca)43 b(pridru)m(\024)-46
b(zenih)45 b(elipti)m(\024)-46 b(ck)m(o)5 b(j)45 b(jednad)m(\024)-46
b(zbi,)47 b(onda)40 b(\023)-46 b(ce)71 320 y(zb)s(og)32
b(gornjeg)g(sv)m(o)5 b(jstv)-5 b(a)34 b(pripadna)f(H-mjera)g(biti)f(n)m
(u)m(\024)-46 b(zno)34 b(trivijalna.)293 439 y(P)m(osebni)j(oblik)f
(lok)-5 b(alizacijsk)m(og)36 b(sv)m(o)5 b(jstv)-5 b(a)37
b(\()m(\024)-46 b(cija)35 b(v)-5 b(arijan)m(ta)32 b(\023)-46
b(ce)36 b(biti)f(prik)-5 b(azana)36 b(u)f(tre)m(\023)-46
b(cem)37 b(p)s(og-)71 558 y(la)m(vlju\))c(je)g(sljede)m(\023)-46
b(ci.)45 b(Uk)m(olik)m(o)34 b(je)f FI(A)f FH(neprekidna)i(matri)m(\024)
-46 b(cna)33 b(funk)m(cija,)g(te)1605 713 y FL(div)17
b FH(\()p FI(A)p FL(u)1913 728 y FF(n)1963 713 y FH(\))28
b FE(\000)-16 b(!)27 b FL(0)71 867 y FH(u)33 b(H)231
826 y FD(\000)p FC(1)231 901 y(lo)r(c)333 867 y FH(\()p
FI(R)455 831 y FF(d)498 867 y FH(\),)g(tada)f(je)1666
1002 y FA(\026)1737 961 y FD(>)1801 1002 y FH(\()p FI(A)1924
961 y FD(>)2004 1002 y FA(\030)s FH(\))27 b(=)g FL(0)p
FB(;)71 1151 y FH(o)s(dnosno)32 b(stup)s(ci)i(mjere)f
FA(\026)f FH(su)h(ok)m(omiti)h(na)e(v)m(ektor)i FI(A)2114
1115 y FD(>)2194 1151 y FA(\030)s FH(.)293 1269 y(Za)41
b(razliku)h(o)s(d)g(lok)-5 b(alizacijsk)m(og)42 b(sv)m(o)5
b(jstv)-5 b(a)43 b(k)m(o)5 b(je)43 b(se)g(mo)m(\024)-46
b(ze)42 b(izre)m(\023)-46 b(ci)43 b(op)m(\023)-46 b(cenito)42
b(i)g(nije)g(v)m(ezano)h(za)71 1388 y(p)s(o)5 b(jedini)41
b(diferencijalni)h(op)s(erator)e FI(P)p FH(,)i(prijenosno)f(sv)m(o)5
b(jstv)m(o)43 b(o)m(visi)f(o)e(samo)5 b(j)41 b(jednad)m(\024)-46
b(zbi,)44 b(o)s(dnosno)71 1507 y(susta)m(vu.)54 b(U)36
b(donjem)g(dijelu)g(iznijet)d(\023)-46 b(cu)36 b(njego)m(vu)g(v)m
(erziju)h(za)f(simetri)m(\024)-46 b(cne)38 b(susta)m(v)m(e)f(\(za)f
(detalje)g(vidi)71 1626 y([A,)d(AL1]\),)f(k)m(o)5 b(ji)34
b(je)e(k)m(oristan)i(s)f(obzirom)g(da)f(se)i(bro)5 b(jne)33
b(jednad)m(\024)-46 b(zb)s(e)33 b(dadu)g(zapisati)g(u)g(tom)g(obliku.)
71 1780 y FI(T)-9 b(eorem)35 b(3.)56 b(\(Prijenosno)36
b(sv)m(o)6 b(jstv)m(o)35 b(za)h(simetri)m(\024)-53 b(cne)35
b(susta)m(v)m(e\))c Fw(Nek)-5 b(a)31 b(su)g FI(A)3200
1744 y FF(k)3274 1780 y FE(2)d FH(C)3438 1744 y FC(1)3438
1808 y(0)3481 1780 y FH(\(\012;)17 b(M)3722 1795 y FF(r)r
FD(\002)p FF(r)3860 1780 y FH(\))71 1899 y Fw(hermitsk)m(e)31
b(matrice,)e(gdje)g(je)f FH(\012)g FE(\032)h FI(R)1481
1863 y FF(d)1552 1899 y Fw(otv)m(oren)g(skup,)i(te)d
FI(B)g FE(2)g FH(C)2536 1916 y FF(b)2573 1899 y FH(\(\012;)17
b(M)2814 1914 y FF(r)r FD(\002)p FF(r)2952 1899 y FH(\))p
Fw(.)42 b(Ak)m(o)29 b(niz)g FH(\()p FL(u)3499 1914 y
FF(n)3550 1899 y FB(;)17 b FL(f)3624 1914 y FF(n)3674
1899 y FH(\))27 b FE(\000)-16 b FB(*)71 2017 y FH(0)32
b Fw(u)h FH(L)300 1981 y FC(2)342 2017 y FH(\(\012;)h
FI(C)592 1981 y FC(2)p FF(r)671 2017 y FH(\))f Fw(i)f(za)h(sv)-5
b(aki)33 b FB(n)g Fw(zado)m(v)m(olja)m(v)-5 b(a)33 b(susta)m(v)71
2273 y FH(\(4\))1508 2149 y FF(d)1456 2178 y Fu(X)1458
2396 y FF(k)r FC(=1)1617 2273 y FI(A)1702 2232 y FF(k)1748
2273 y FB(@)1799 2291 y FF(k)1845 2273 y FL(u)1895 2288
y FF(n)1968 2273 y FH(+)22 b FI(B)p FL(u)2196 2288 y
FF(n)2274 2273 y FH(=)27 b FL(f)2407 2288 y FF(n)2485
2273 y FB(;)71 2525 y Fw(tada)32 b(H-mjera)g FA(\026)g
Fw(pridru)m(\024)-46 b(zena)34 b(\(p)s(o)s(d\)nizu)f
FH(\()p FL(u)1801 2540 y FF(n)1851 2525 y FB(;)17 b FL(f)1925
2540 y FF(n)1975 2525 y FH(\))p Fw(,)33 b(oblik)-5 b(a)1592
2739 y FA(\026)27 b FH(=)1794 2599 y Fu(\024)1863 2680
y FA(\026)1934 2695 y FC(11)2112 2680 y FA(\026)2183
2695 y FC(12)1863 2798 y FA(\026)1934 2762 y FD(\003)1934
2826 y FC(12)2112 2798 y FA(\026)2183 2813 y FC(22)2280
2599 y Fu(\025)2349 2739 y FB(;)71 2947 y Fw(zado)m(v)m(olja)m(v)-5
b(a)33 b(izraz)71 3197 y FH(\(5\))594 b FE(h)p FA(\026)900
3212 y FC(11)981 3197 y FB(;)17 b FE(f)p FI(p)p FB(;)g
FH(\010)p FE(g)k FH(+)h(\010)1560 3073 y FF(d)1508 3103
y Fu(X)1509 3321 y FF(k)r FC(=1)1668 3197 y FB(@)1719
3215 y FF(k)1766 3197 y FI(A)1851 3156 y FF(k)1919 3197
y FE(\000)h FH(2\010)p FI(S)p FE(i)f FH(+)g FE(h)p FH(2)p
FL(Re)16 b(tr)r FA(\026)2710 3212 y FC(12)2790 3197 y
FB(;)h FH(\010)p FE(i)28 b FH(=)g(0)f FB(;)71 3463 y
Fw(gdje)41 b(je)h FI(S)h FH(:=)663 3424 y FC(1)p 663
3440 39 4 v 663 3497 a(2)711 3463 y FH(\()p FI(B)28 b
FH(+)g FI(B)1041 3427 y FD(\003)1083 3463 y FH(\))42
b Fw(hermitski)h(dio)e(matrice)h FI(B)p Fw(,)h FH(\010)g
FE(2)g FH(C)2577 3427 y FC(1)2577 3491 y(0)2620 3463
y FH(\(\012)23 b FE(\002)g FB(S)2917 3427 y FF(d)p FD(\000)p
FC(1)3058 3463 y FH(\))42 b Fw(test)g(funk)m(cija,)i(dok)71
3606 y FI(p)p FH(\()p FI(x)p FB(;)17 b FA(\030)s FH(\))38
b(:=)545 3531 y Fu(P)650 3557 y FF(d)650 3635 y(k)r FC(=1)811
3606 y FB(\030)854 3623 y FF(k)900 3606 y FI(A)985 3570
y FF(k)1031 3606 y FH(\()p FI(x)p FH(\))h Fw(ozna)m(\024)-46
b(cuje)39 b(gla)m(vni)h(sim)m(b)s(ol)f(op)s(eratora)f
FI(P)g FH(=)2895 3531 y Fu(P)3000 3557 y FF(d)3000 3635
y(k)r FC(=1)3161 3606 y FI(A)3246 3570 y FF(k)3292 3606
y FB(@)3343 3623 y FF(k)3416 3606 y FH(+)26 b FI(B)p
Fw(.)62 b(P)m(ois-)71 3725 y(sono)m(v)-5 b(a)24 b(zagrada)f
FE(f\001)p FB(;)17 b FE(\001g)22 b Fw(se)i(de\014nira)g(k)-5
b(ao)23 b FE(f)p FL(a)p FB(;)17 b FL(b)p FE(g)27 b FH(:=)1967
3650 y Fu(P)2089 3644 y(\000)2134 3725 y FB(@)2190 3688
y FF(i)2222 3725 y FL(a)17 b FB(@)2337 3740 y FF(i)2367
3725 y FL(b)22 b FE(\000)h FB(@)2590 3740 y FF(i)2621
3725 y FL(a)17 b FB(@)2741 3688 y FF(i)2771 3725 y FL(b)2821
3644 y Fu(\001)2895 3725 y FH(=)27 b FE(r)3081 3742 y
Fp(\030)3126 3725 y FL(a)t FE(\001)t(r)3292 3740 y Ft(x)3342
3725 y FL(b)t FE(\000)t(r)3560 3740 y Ft(x)3611 3725
y FL(a)t FE(\001)t(r)3777 3742 y Fp(\030)3820 3725 y
FL(b)p FB(:)p 3868 3886 30 43 v 293 3998 a FH(Gornja)45
b(H-mjera)h FA(\026)f FH(je)h(2)p FB(r)34 b FE(\002)e
FH(2)p FB(r)48 b FH(matri)m(\024)-46 b(cna)47 b(mjera)f(pridru)m(\024)
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b(a)39 b(4.)93 b FH(Karakteristik)m(e)34 b(i)f(nosa)m(\024)-46
b(c)620 1955 y(nizu)34 b FB(d)883 1970 y FF(n)933 1955
y FH(,)e(za)h FI(A)27 b FH(=)h FB(\025)p FI(I)p FH(.)1075
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b(eorema)25 b(2)f(na)g(\(6\))g(dobije)h(se)g(transp)s(ortna)f(jednad)m
(\024)-46 b(zba)25 b(za)f(H-mjeru)h FB(\026)p FH(.)40
b(Pro)5 b(jek)m(ci-)71 2242 y(je)26 b(pripadnih)g(in)m(tegralnih)h
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b FI(x)p FH(\))26 b(prostor)f(p)s(o)s(dudara)5 b(ju)26
b(se)h(s)f(k)-5 b(arakteristik)g(ama)71 2361 y(p)s(olazne)35
b(\(v)-5 b(alne\))35 b(jednad)m(\024)-46 b(zb)s(e.)50
b(T)-8 b(e)35 b(pro)5 b(jek)m(cije)36 b(su)f(tangencijalne)h(na)e
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b(na)f FI(R)3032 3512 y FC(1+)p FF(d)3199 3548 y FE(\002)27
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b(je)46 b(v)m(ezu)i(izmed)p 2007 4090 V 2 w(u)e FB(\034)58
b FH(i)46 b FA(\030)j FH(v)-5 b(arijable,)49 b(i)d(nosa)m(\024)-46
b(c)47 b(mjere)g FA(\026)p FH(\()p FB(t)j FH(=)h(0\))71
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([BM],)g([G2]\))f(p)s(olazi)g(o)s(d)h(ideje)g(da)f(se)h(zamrzne)h
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Fw(,)30 b(te)e(da)h(bilinearna)g(forma)f FB(a)h Fw(na)71
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%%Page: 16 22
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785 y(\024)2051 810 y(Sto)m(vi)-5 b(\024)-44 b(se,)43
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1136 y(1)p 1880 1181 V 1880 1272 a(2)1938 1204 y FE(k)p
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b(j)25 b(strani)g(predsta)m(vlja)g(energiju)g(susta)m(v)-5
b(a.)42 b(Nadalje,)26 b(p)s(olaze)m(\023)-46 b(ci)24
b(o)s(d)g(jednak)m(osti)1389 1674 y FB(@)1440 1689 y
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2093 y Fv(2)1713 2114 y FC(\([0)p FF(;T)g FC(];)p FF(V)1984
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2281 y Fr(6)28 b FB(C)1563 2170 y Fu(\020)1622 2281 y
FE(k)p FB(u)1728 2296 y FC(0)1770 2281 y FE(k)1820 2310
y FF(H)1916 2281 y FH(+)22 b FE(k)p FB(f)11 b FE(k)2172
2310 y FC(L)2220 2288 y Fv(2)2258 2310 y FC(\([0)p FF(;T)g
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b(da)h(su)f(gornje)h(o)s(cjene)f(dobiv)m(ene)i(uz)f(pretp)s(osta)m(vku)
h FB(A)p FH(\()p FB(t)p FH(;)17 b FB(u;)g(u)p FH(\))26
b Fr(>)j FB(\013)q FE(k)p FB(u)p FE(k)3111 2494 y FC(2)3111
2571 y FF(V)3177 2542 y FH(.)42 b(Med)p 3398 2490 30
2 v 2 w(utim,)-165 2661 y(op)m(\023)-46 b(cenito)28 b(ta)5
b(j)28 b(uvjet)g(ne)m(\023)-46 b(ce)29 b(biti)f(ispunjen)i(za)e(zada)m
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b(ara)5 b(ju)m(\023)-46 b(ce)43 b(o)s(cjene)g(za)g(rje)-5
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(\023)-46 b(c)34 b(k)m(omen)m(tirali,)g(za)f(funk)m(ciju)39
b(~)-55 b FB(u)28 b FH(=)f FB(ue)1892 2862 y FD(\000)p
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-46 b(cem)m(u)33 b(je)g(ona)-165 3017 y(rje)-5 b(\024)-44
b(senje)33 b(jednad)m(\024)-46 b(zb)s(e)781 3137 y Fu(8)781
3227 y(<)781 3406 y(:)914 3215 y FB(d)p 896 3259 86 4
v 896 3350 a(dt)992 3282 y FE(h)23 b FH(~)-55 b FB(u)o
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3299 y FF(H)1491 3282 y FH(+)k(~)-51 b FB(a)q FH(\()p
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FH(\))p FB(;)17 b(v)t FH(\))27 b(=)h FE(h)p FB(e)2257
3241 y FD(\000)p FF(\025t)2393 3282 y FB(f)11 b FH(\()p
FE(\001)p FH(\))p FB(;)17 b(v)t FE(i)1867 3458 y FH(~)-55
b FB(u)p FH(\(0\))27 b(=)h FB(u)2229 3473 y FC(0)2271
3458 y FB(;)-165 3671 y FH(gdje)k(je)i(~)-50 b FB(a)p
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FE(h)17 b FB(u)27 b FE(j)g FB(v)20 b FE(i)993 3688 y
FF(H)1089 3671 y FH(+)i FB(a)p FH(\()p FB(t)p FH(;)17
b FB(u;)g(v)t FH(\).)42 b(Stoga)32 b(je)179 3970 y FE(k)6
b FH(~)-55 b FB(u)p FH(\()p FB(t)p FH(\))p FE(k)446 3922
y FC(2)446 4000 y FF(H)541 3970 y FH(+)22 b FB(\013)719
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FE(2)g FH([0)p FB(;)17 b(T)d FH(])32 b(je)311 4883 y
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Fr(>)28 b FB(e)1632 5120 y FD(\000)p FC(2)p FF(\025T)1851
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%%Page: 17 23
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eop end
%%Page: 18 24
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%%Page: 19 25
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%%Page: 20 26
TeXDict begin 20 25 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-165 88 y FH(gdje)23
b(je)h(s)f FA(\026)263 105 y Ft(P)351 88 y FH(ozna)m(\024)-46
b(cena)24 b(mjera)f FI(P)1100 52 y FD(>)1164 88 y FA(\026)p
FI(P)p FH(,)h(dok)g(je)g FB(d)1689 103 y FF(i)1746 88
y FH(=)k(\()p FI(D)p FH(\))2012 103 y FF(ii)2068 88 y
FH(.)41 b(Zb)s(og)22 b(p)s(ozitivne)j(de\014nitnosti)f(matri)m(\024)-46
b(cne)-165 207 y(funk)m(cije)33 b FI(B)e FH(je)g FB(d)463
222 y FF(i)493 207 y FH(\()p FB(t;)17 b FI(x)p FH(\))28
b FB(>)g FH(0)j(za)g(sv)-5 b(aki)33 b(\()p FB(t;)17 b
FI(x)p FH(\))27 b FE(2)h FI(R)1705 171 y FC(1+)p FF(d)1847
207 y FH(,)k(te)g FB(i)27 b FH(=)h(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d)p
FH(.)42 b(Sli)m(\024)-46 b(cna)32 b(nejednak)m(ost)h(vrijedi)-165
325 y(i)26 b(za)h(mjere)h(\()p FA(\026)379 342 y Ft(P)443
325 y FH(\))481 340 y FF(ii)537 325 y FH(.)42 b(Naime,)28
b(na)f(osno)m(vu)h(Korolara)d(I.1.)42 b(znamo)27 b(da)g(je)f(za)h(sv)-5
b(aku)28 b(v)m(ektorsku)h(funk)m(ciju)-165 444 y FA(\036)e
FH(=)h(C)107 462 y FF(b)144 444 y FH(\()p FI(R)266 408
y FC(1+)p FF(d)408 444 y FH(;)17 b FI(C)533 408 y FF(d)577
444 y FH(\))32 b(mjera)h FA(\026)17 b(\036)k FE(\001)h
FA(\036)32 b FH(\(p)s(ozitivna\))h(Radono)m(v)-5 b(a)32
b(mjera)h(na)g(C\()p FI(R)2811 408 y FC(1+)p FF(d)2975
444 y FE(\002)22 b FH(S)3128 408 y FF(d)3173 444 y FH(\))o(.)44
b(Stoga)32 b(je)661 684 y(\()p FA(\026)770 701 y Ft(P)834
684 y FH(\))872 699 y FF(ii)956 684 y FH(=)27 b FA(\026)1130
701 y Ft(P)1195 684 y FL(e)1238 699 y FF(i)1290 684 y
FE(\001)22 b FL(e)1383 699 y FF(i)1442 684 y FH(=)27
b FI(P)1622 643 y FD(>)1686 684 y FA(\026)p FI(P)p FL(e)1877
699 y FF(i)1929 684 y FE(\001)22 b FL(e)2022 699 y FF(i)2080
684 y FH(=)28 b FA(\026)p FI(P)p FL(e)2375 699 y FF(i)2427
684 y FE(\001)21 b FI(P)p FL(e)2596 699 y FF(i)2654 684
y Fr(>)29 b FH(0)p FB(;)-165 925 y FH(gdje)36 b(je)h
FL(e)200 940 y FF(i)268 925 y FH(v)m(ektor)h(k)-5 b(anonsk)m(e)38
b(baze)g(u)f FI(R)1394 889 y FF(d)1437 925 y FH(.)56
b(Usp)s(oredb)s(om)38 b(s)f(\(15\),)g(zb)s(og)g(p)s(ozitivnosti)g(funk)
m(cija)h FB(d)3604 940 y FF(i)3634 925 y FH(,)-165 1043
y(slijedi)g(da)g(je)g(\()p FA(\026)480 1060 y Ft(P)544
1043 y FH(\))582 1058 y FF(ii)675 1043 y FH(=)e(0)i(za)f(sv)-5
b(aki)39 b FB(i)e FH(=)f(1)p FB(;)17 b(:)g(:)g(:)e(;)i(d)p
FH(,)39 b(o)s(dnosno)f FL(tr)q FH(\()p FA(\026)2385 1060
y Ft(P)2449 1043 y FH(\))f(=)f FL(tr)r FH(\()p FA(\026)p
FH(\))g(=)g(0.)58 b(Tvrdnja)39 b(sad)-165 1162 y(slijedi)33
b(na)g(osno)m(vu)g(sljede)m(\023)-46 b(ce)35 b(leme.)-165
1353 y FI(Lema)j(3.)100 b Fw(Ak)m(o)33 b(za)g(H-mjeru)g
FA(\026)f Fw(vrijedi)h(da)g(je)f FL(tr)r FA(\026)27 b
FH(=)h(0)k Fw(onda)g(je)h FA(\026)27 b FH(=)h FI(0)p
Fw(.)-165 1511 y FL(Dem.)93 b FH(H-mjera)32 b FA(\026)g
FH(je)h(hermitsk)-5 b(a,)33 b(p)s(ozitivno)g(de\014nitna,)h(zb)s(og)c
(\024)-46 b(cega)32 b(vrijedi)i(da)e(je)-165 1846 y(\(16\))1454
1722 y FF(d)1402 1752 y Fu(X)1412 1967 y FF(i)p FC(=1)1563
1846 y FB(\026)1622 1861 y FF(ij)1687 1846 y FB(')1751
1861 y FF(i)p 1782 1792 64 4 v 1782 1846 a FB(')1846
1870 y FF(j)1913 1846 y Fr(>)c FH(0)p FB(;)-165 2195
y FH(za)41 b(proizv)m(oljn)m(u)h FB(d)p FH(-torku)e(funk)m(cija)i
FB(')1275 2210 y FF(i)1348 2195 y FE(2)g FH(C)1526 2210
y FC(0)1569 2195 y FH(\()p FI(R)1691 2159 y FF(d)1734
2195 y FH(\))p FB(;)17 b(i)42 b FH(=)g(1)p FB(;)17 b(:)g(:)g(:)e(;)i(d)
p FH(.)68 b(P)m(osebno,)45 b(za)c(proizv)m(oljn)m(u)h
FB(')g FE(2)-165 2314 y FH(C)-95 2329 y FC(0)-52 2314
y FH(\()p FI(R)70 2277 y FF(d)113 2314 y FH(\))33 b(de\014nira)5
b(jmo)33 b(slog)1345 2513 y FB(')1409 2528 y FF(j)1476
2513 y FH(=)1580 2373 y Fu(\032)1679 2454 y FH(0)p FB(;)146
b(j)33 b FE(6)p FH(=)28 b FB(i)1671 2573 y(';)125 b(j)34
b FH(=)27 b FB(i:)-165 2771 y FH(T)-8 b(ada)32 b(relacija)h(\(16\))f(p)
s(o)m(vla)m(\024)-46 b(ci)1505 2911 y FB(\026)1564 2926
y FF(ii)1620 2911 y FE(j)p FB(')p FE(j)1740 2870 y FC(2)1810
2911 y Fr(>)28 b FH(0)p FB(:)-165 3110 y FH(Uk)m(olik)m(o)34
b(je)e FB(\026)354 3125 y FF(ii)411 3110 y FE(j)p FB(')p
FE(j)531 3074 y FC(2)600 3110 y FB(>)c FH(0)k(za)h(neki)g
FB(i)28 b FE(2)g(f)p FH(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d)p
FE(g)p FB(;)g(')26 b FE(2)i FH(C)1990 3125 y FC(0)2033
3110 y FH(\()p FI(R)2155 3074 y FF(d)2199 3110 y FH(\),)k(tada)h(je)
1209 3451 y FL(tr)r FA(\026)p FE(j)p FB(')p FE(j)1470
3410 y FC(2)1539 3451 y FH(=)1694 3327 y FF(d)1642 3357
y Fu(X)1652 3572 y FF(i)p FC(=1)1803 3451 y FB(\026)1862
3466 y FF(ii)1918 3451 y FE(j)p FB(')p FE(j)2038 3410
y FC(2)2108 3451 y FB(>)27 b FH(0)p FB(;)-171 3781 y
FH(\024)-44 b(sto)28 b(je)e(k)m(on)m(tradik)m(cija)j(s)e(pretp)s(osta)m
(vk)m(om)i(da)d(je)h FB(tr)s FA(\026)g FH(=)h(0.)41 b(Stoga)26
b(su)i(svi)g(dijagonalni)e(elemen)m(ti)j(mjere)-165 3900
y FA(\026)j FH(n)m(ulmjere.)57 4026 y(Nadalje,)g(de\014nira)5
b(jmo)34 b FB(d)p FH(-torku)e(funk)m(cija)1257 4379 y
FB(')1321 4397 y FF(k)1395 4379 y FH(=)1498 4175 y Fu(8)1498
4265 y(<)1498 4444 y(:)1635 4260 y FB(';)212 b(k)31 b
FH(=)d FB(i)1604 4379 y(\013)q(';)174 b(k)31 b FH(=)c
FB(j)1643 4498 y FH(0)p FB(;)164 b(k)30 b FE(6)p FH(=)e
FB(i;)17 b(j;)-165 4738 y FH(pri)30 b(\024)-46 b(cem)m(u)33
b(je)g FB(\013)28 b FE(2)h FI(C)j FH(proizv)m(oljan.)44
b(Relacija)33 b(\(16\))f(nam)h(da)5 b(je)1268 4978 y
FB(\026)1327 4993 y FF(ij)1393 4978 y FB(')p 1457 4923
63 4 v(\013)p 1520 4923 64 4 v 1 w(')22 b FH(+)g FB(\026)1763
4993 y FF(j)t(i)p 1829 4923 V 1829 4978 a FB(')o(\013)q(')28
b Fr(>)g FH(0)p FB(:)-165 5219 y FH(Zb)s(og)j FB(\026)140
5234 y FF(ij)234 5219 y FH(=)p 337 5164 125 4 v 27 w
FB(\026)396 5234 y FF(j)t(i)495 5219 y FH(slijedi)i(da)g(je)1345
5368 y(2)p FL(Re)17 b FH(\()p FB(\026)1614 5383 y FF(ij)1680
5368 y FB(\013)q FE(j)p FB(')p FE(j)1863 5326 y FC(2)1904
5368 y FH(\))28 b Fr(>)g FH(0)p FB(:)-165 5566 y FH(Uzima)5
b(ju)m(\023)-46 b(ci)35 b FB(\013)30 b FH(=)f FE(\006)p
FH(1)34 b(zaklju)m(\024)-46 b(cujemo)35 b(da)e(je)h FL(Re)16
b FB(\026)1672 5581 y FF(ij)1768 5566 y FH(=)29 b(0.)46
b(Analogno,)33 b(sta)m(vlja)5 b(ju)m(\023)-46 b(ci)35
b FB(\013)30 b FH(=)g FE(\006)p FB(i)k FH(dobijemo)-165
5685 y(da)e(je)h FL(Im)16 b FB(\026)255 5700 y FF(ij)348
5685 y FH(=)28 b(0.)3324 5811 y FI(Q.E.D.)-165 6010 y
Fz(20)p eop end
%%Page: 21 27
TeXDict begin 21 26 bop 2420 -116 a Fx(Primjena)27 b(H-mjera)g(na)g
(parab)r(oli)n(\024)-39 b(ck)n(e)25 b(zada)n(\023)-39
b(ce)293 83 y FH(Na)31 b(ta)5 b(j)32 b(na)m(\024)-46
b(cin)31 b(smo)h(dobili)g(da)g(je)f(H-mjera)g FA(\026)g
FH(pridru)m(\024)-46 b(zena)33 b(nizu)f FE(r)p FB(u)2883
98 y FF(n)2964 83 y FH(trivijalna,)g(o)s(dnosno)g(da)71
202 y(p)s(oreme)m(\023)-46 b(ca)5 b(ji)36 b(prisutni)g(u)g(tren)m(utku)
g FB(t)d FH(=)f(0,)k(izra)m(\024)-46 b(zeni)36 b(prek)m(o)g(H-mjere)g
(pridru)m(\024)-46 b(zene)37 b(nizu)f FB(u)3479 217 y
FF(n)3529 202 y FH(\(0\),)f(trn)m(u)71 320 y(za)e FB(t)27
b(>)h FH(0)k(i)h(nisu)g(uo)m(\024)-46 b(cljivi)34 b(na)e(makrosk)m
(opsk)m(o)5 b(j)36 b(razini.)293 440 y(U)28 b(p)s(osebnom)g(slu)m(\024)
-46 b(ca)5 b(ju)29 b(k)m(onstan)m(tnih)h(k)m(o)s(e\014cijenata,)f(o)m
(v)-5 b(a)5 b(j)28 b(rezultat)g(se)h(mogao)e(dobiti)h(k)m(oriste)m
(\023)-46 b(ci)71 559 y(regularnost)40 b(rje)-5 b(\024)-44
b(senja)40 b(za)g(homogen)m(u)g(jednad)m(\024)-46 b(zbu)41
b(pro)m(v)m(od)p 2286 507 30 2 v 1 w(enja.)65 b(Ono)40
b(da)5 b(je)40 b(da)f FE(r)p FB(u)3310 574 y FF(n)3400
559 y FE(!)g FH(0)h(jak)m(o)f(u)71 678 y(L)132 642 y
FC(2)132 709 y(lo)r(c)232 678 y FH(\()p FI(R)354 642
y FC(+)440 678 y FE(\002)22 b FI(R)623 642 y FF(d)667
678 y FH(\))38 b(\024)-44 b(sto)44 b(direktno)g(p)s(o)m(vla)m(\024)-46
b(ci)44 b(da)f(je)h FA(\026)i FH(=)g FI(0)p FH(.)76 b(Med)p
2472 626 V 1 w(utim,)47 b(gornjim)c(ra)m(\024)-46 b(cunom)44
b(ta)5 b(j)43 b(smo)71 796 y(rezultat)33 b(p)s(o)s(op)m(\023)-46
b(cili)32 b(na)h(slu)m(\024)-46 b(ca)5 b(j)34 b(v)-5
b(arijabilnih)32 b(k)m(o)s(e\014cijenata.)293 916 y(Nap)s(omenimo)h(da)
g(smo)g(rezultat)g(mogli)f(dobiti)h(i)g(na)f(drugi)h(na)m(\024)-46
b(cin,)33 b(zapisuju)m(\023)-46 b(ci)34 b(\(12)3462 931
y FC(1)3504 916 y FH(\))f(k)-5 b(ao)470 1098 y Fu(\024)539
1179 y FH(1)98 b FL(0)735 1143 y FD(>)539 1298 y FL(0)126
b FI(0)815 1098 y Fu(\025)884 1239 y FB(@)935 1254 y
FF(t)984 1098 y Fu(\024)1053 1179 y FB(u)1109 1194 y
FF(n)1059 1298 y FL(v)1104 1313 y FF(n)1176 1098 y Fu(\025)1251
1239 y FE(\000)1402 1114 y FF(d)1350 1144 y Fu(X)1360
1359 y FF(i)p FC(=1)1511 1098 y Fu(\024)1593 1179 y FH(0)109
b(\()p FL(e)1832 1143 y FF(i)1863 1179 y FH(\))1901 1143
y FD(>)1580 1298 y FL(e)1623 1262 y FF(i)1830 1298 y
FI(0)1981 1098 y Fu(\025)2051 1239 y FB(@)2102 1264 y
FF(x)2146 1243 y Fs(i)2194 1098 y Fu(\024)2263 1179 y
FB(u)2319 1194 y FF(n)2269 1298 y FL(v)2314 1313 y FF(n)2386
1098 y Fu(\025)2461 1239 y FH(+)2559 1098 y Fu(\024)2628
1179 y FH(0)134 b FL(0)2860 1143 y FD(>)2628 1298 y FL(0)97
b FI(A)2859 1262 y FD(\000)p FC(1)2978 1098 y Fu(\025)16
b(\024)3116 1179 y FB(u)3172 1194 y FF(n)3121 1298 y
FL(v)3166 1313 y FF(n)3239 1098 y Fu(\025)3319 1239 y
FH(=)27 b FL(0)p FB(;)71 1550 y FH(gdje)36 b(je)h(sad)g(s)g
FL(v)691 1565 y FF(n)777 1550 y FH(ozna)m(\024)-46 b(cen)37
b(niz)g FI(A)p FE(r)p FB(u)1534 1565 y FF(n)1584 1550
y FH(,)g(te)g(ra)m(\024)-46 b(cuna)5 b(ju)m(\023)-46
b(ci)38 b(njem)m(u)f(pridru)m(\024)-46 b(zen)m(u)38 b(H-mjeru)f
FA(\026)3500 1567 y Ft(A)3570 1550 y FH(.)55 b(Prim-)71
1668 y(jenom)47 b(prijenosnog)g(sv)m(o)5 b(jstv)-5 b(a)49
b(\(T)-8 b(eorem)47 b(I.3\))g(dobijemo)g(da)g(je)g FL(tr)r
FH(\()p FI(B)2786 1632 y FD(\000)p FC(1)2888 1668 y FA(\026)2959
1685 y Ft(A)3029 1668 y FH(\))52 b(=)g(0,)e(gdje)d(je)g
FI(B)3796 1632 y FD(\000)p FC(1)71 1787 y FH(simetri)m(\024)-46
b(cni)46 b(dio)f(matrice)g FI(A)1157 1751 y FD(\000)p
FC(1)1259 1787 y FH(,)i(iz)c(\024)-46 b(cega)44 b(na)h(gore)f(opisan)h
(na)m(\024)-46 b(cin)45 b(zaklju)m(\024)-46 b(cujemo)46
b(da)e(je)h FA(\026)3572 1804 y Ft(A)3691 1787 y FH(=)j
FI(0)p FH(.)71 1906 y(Tvrdnja)33 b(sad)g(slijedi)h(iz)f(dolje)g(na)m(v)
m(edenog)h(k)m(orolara)e(\(za)h(dok)-5 b(az)32 b(v.)44
b([G1])32 b(ili)h([T3]\).)71 2078 y FI(Korolar)55 b(2.)147
b Fw(Nek)-5 b(a)49 b(je)g FA(\026)e Fw(H-mjera)i(pridru)m(\024)-46
b(zena)49 b(nizu)g(funk)m(cija)h FL(u)2798 2093 y FF(n)2903
2078 y FE(2)55 b FH(L)3085 2042 y FC(2)3127 2078 y FH(\()p
FI(R)3249 2042 y FF(d)3293 2078 y FH(;)17 b FI(C)3418
2042 y FF(r)3458 2078 y FH(\))p Fw(,)53 b(te)48 b(nek)-5
b(a)71 2196 y(je)43 b FI(A)i FE(2)i FH(C)500 2214 y FF(b)537
2196 y FH(\()p FI(R)659 2160 y FF(d)703 2196 y FH(;)17
b(M)836 2211 y FF(r)r FD(\002)p FF(r)973 2196 y FH(\()p
FI(C)p FH(\)\))p Fw(.)75 b(T)-8 b(ada)43 b(je)g(H-mjera)g
FA(\026)2104 2213 y Ft(A)2218 2196 y Fw(pridru)m(\024)-46
b(zena)44 b(nizu)g FH(\()p FI(A)p FL(u)3111 2211 y FF(n)3161
2196 y FH(\))f Fw(dana)g(form)m(ulom)71 2315 y FA(\026)142
2332 y Ft(A)240 2315 y FH(=)27 b FI(A)p FA(\026)p FI(A)584
2279 y FD(\003)626 2315 y Fw(.)p 3868 2358 30 43 v 293
2487 a FH(U)50 b(cilju)h(daljnjeg)f(prou)m(\024)-46 b(ca)m(v)-5
b(anja)50 b(jednad)m(\024)-46 b(zb)s(e)52 b(pro)m(v)m(od)p
2330 2435 30 2 v 1 w(enja,)j(i)50 b(ev)m(en)m(tualnog)i(dobiv)-5
b(anja)50 b(zan-)71 2606 y(imljivih)41 b(\(netrivijalnih\))h
(rezultata,)h(promijenimo)e(zada)m(\023)-46 b(cu)41 b(\(11\))f(uv)m(od)
p 2814 2554 V 1 w(enjem)h(netrivijalne)h(desne)71 2724
y(strane:)71 2990 y(\(17\))1005 2850 y Fu(\032)1096 2910
y FB(@)1147 2925 y FF(t)1180 2910 y FB(u)1236 2925 y
FF(n)1308 2910 y FE(\000)22 b FL(div)c FH(\()p FI(A)p
FE(r)p FB(u)1805 2925 y FF(n)1854 2910 y FH(\))28 b(=)f
FL(div)18 b(f)2189 2925 y FF(n)1661 3066 y FB(u)1717
3081 y FF(n)1767 3066 y FH(\(0\))28 b(=)f FB(\015)2074
3081 y FF(n)2152 3066 y FB(*)g FH(0)98 b(u)f(L)2636 3024
y FC(2)2679 3066 y FH(\()p FI(R)2801 3024 y FF(d)2844
3066 y FH(\))28 b FB(;)71 3294 y FH(gdje)37 b FL(f)314
3309 y FF(n)398 3294 y FB(*)d FL(0)j FH(u)g(L)768 3258
y FC(2)768 3326 y(lo)r(c)868 3294 y FH(\()p FI(R)990
3258 y FC(+)1053 3294 y FH(;)17 b(L)1158 3258 y FC(2)1200
3294 y FH(\()p FI(R)1322 3258 y FF(d)1366 3294 y FH(\)\),)37
b(dok)g FI(A)f FH(ima)h(sv)m(o)5 b(jstv)-5 b(a)38 b(na)m(v)m(edena)h
(na)d(p)s(o)m(\024)-46 b(cetku)38 b(o)s(djeljk)-5 b(a.)55
b(Oz-)71 3413 y(na)m(\024)-46 b(cuju)m(\023)g(ci)30 b(s)g
FA(\026)594 3430 y FF(f)672 3413 y FH(H-mjeru)f(pridru)m(\024)-46
b(zen)m(u)31 b(\(p)s(o)s(d\)nizu)f(\()p FL(f)2055 3428
y FF(n)2105 3413 y FH(\),)d(\024)-46 b(zelimo)30 b(na)m(\023)-46
b(ci)29 b(v)m(ezu)i(izmed)p 3135 3361 V 2 w(u)e(nje)h(i)f(nep)s(oznate)
71 3531 y(H-mjere)k(k)m(o)5 b(ja)33 b(opisuje)g(disipaciju)h(energije,)
g FA(\026)27 b FE(\030)h(r)p FB(u)2154 3546 y FF(n)2204
3531 y FH(.)293 3651 y(Zapisana)k(k)-5 b(ao)33 b(\(simetri)m(\024)-46
b(cni\))34 b(susta)m(v,)g(jednad)m(\024)-46 b(zba)33
b(\(17)2333 3666 y FC(1)2375 3651 y FH(\))g(glasi)71
3770 y(\(18\))71 3807 y Fu(2)71 3986 y(4)154 3889 y FH(1)97
b FL(0)349 3852 y FD(>)510 3889 y FL(0)559 3852 y FD(>)154
4007 y FL(0)126 b FI(0)154 b(0)154 4126 y FL(0)126 b
FI(0)154 b(0)640 3807 y Fu(3)640 3986 y(5)706 4007 y
FB(@)757 4022 y FF(t)789 3807 y Fu(2)789 3986 y(4)872
3889 y FB(u)928 3904 y FF(n)878 4007 y FL(v)923 4022
y FF(n)885 4126 y FL(f)915 4141 y FF(n)995 3807 y Fu(3)995
3986 y(5)1067 4007 y FE(\000)1202 3883 y FF(d)1149 3913
y Fu(X)1159 4128 y FF(i)p FC(=1)1310 3807 y Fu(2)1310
3986 y(4)1393 3889 y FL(div)18 b(a)1576 3852 y FF(i)1703
3889 y FH(\()p FL(a)1788 3852 y FF(i)1818 3889 y FH(\))1856
3852 y FD(>)2018 3889 y FH(\()p FL(e)2099 3904 y FF(i)2129
3889 y FH(\))2167 3852 y FD(>)1461 4007 y FL(a)1508 3971
y FF(i)1784 4007 y FI(0)256 b(0)1463 4126 y FL(e)1506
4141 y FF(i)1784 4126 y FI(0)g(0)2248 3807 y Fu(3)2248
3986 y(5)2314 4007 y FB(@)2365 4033 y FF(x)2409 4011
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FE(r)p FB(u)946 4357 y FF(n)996 4342 y FH(.)43 b(Sim)m(b)s(ol)33
b(pripadnog)g(diferencijalnog)g(op)s(eratora)f(je)1147
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4558 y FB(\034)34 b FE(\000)22 b FL(div)17 b FH(\()p
FI(A)p FA(\030)s FH(\))97 b FE(\000)p FH(\()p FI(A)p
FA(\030)s FH(\))2338 4522 y FD(>)2499 4558 y FE(\000)p
FA(\030)2630 4522 y FD(>)1578 4677 y FE(\000)p FI(A)p
FA(\030)405 b FI(0)317 b(0)1621 4796 y FE(\000)p FA(\030)447
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b(\024)-46 b(cem)m(u)31 b(je)g FA(\026)e FH(mjera)i(pridru)m(\024)-46
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FH(=)d FE(r)p FB(u)2006 5707 y FF(n)2056 5692 y FH(,)j
FA(\026)2185 5710 y FF(f)2264 5692 y FH(pridru)m(\024)-46
b(zena)32 b(nizu)f FL(f)2989 5707 y FF(n)3039 5692 y
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FL(v)1901 5826 y FF(n)1984 5811 y FH(i)f FL(f)2073 5826
y FF(n)2124 5811 y FH(.)3770 6010 y Fz(21)p eop end
%%Page: 22 28
TeXDict begin 22 27 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
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FI(A)p FH(\))26 b(=)i FE(\000)p FL(tr)r(Re)17 b FA(\026)2081
299 y FC(12)2161 284 y FB(:)-165 485 y FH(Kak)m(o)37
b(je)g(mjera)g FA(\026)553 500 y FC(12)671 485 y FH(nep)s(oznata)g(\(o)
m(visi)i(i)e(o)g(rje)-5 b(\024)-44 b(senju)38 b FL(u)1978
500 y FF(n)2029 485 y FH(\),)g(iz)f(gornje)g(relacije)h(ne)g(mo)m(\024)
-46 b(zemo)38 b(rek)m(on-)-165 603 y(struirati)33 b(mjeru)g
FA(\026)p FH(.)43 b(Stoga)29 b(\023)-46 b(cemo)34 b(k)m(orisniji)f
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-5 b(alizacijsk)m(og)-165 722 y(sv)m(o)5 b(jstv)-5 b(a,)34
b(o)s(dnosno)e(T)-8 b(eorema)34 b(I.2.)43 b(Na)33 b(ta)5
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b(0)932 1155 y FL(0)438 b FI(0)804 b(0)2717 836 y Fu(3)2717
1015 y(5)2812 1036 y FH(=)27 b FI(0)p FB(;)-165 1369
y FH(iz)j(\024)-46 b(cega)32 b(\(zb)s(og)h FA(\026)494
1384 y FC(12)602 1369 y FH(=)27 b FA(\026)776 1333 y
FD(\003)776 1397 y FC(21)857 1369 y FH(,)32 b(te)h FI(A)p
FA(\030)d FE(2)e FI(R)1374 1333 y FF(d)1418 1369 y FH(\))k(slijedi)i
(da)e(je)-165 1570 y(\(19\))1357 b(\()p FA(\026)p FI(A)22
b FH(+)g FA(\026)1751 1585 y FC(12)1831 1570 y FH(\))p
FA(\030)30 b FH(=)e FL(0)p FB(;)-165 1771 y FH(o)s(dnosno)-165
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2291 y(trebat)38 b(\023)-46 b(cemo)42 b(na)5 b(jprije)42
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b FA(\026)f Fw(pridru)m(\024)-46 b(zena)46 b(nizu)f(funk)m(cija)g
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FH(L)2956 2539 y FC(2)2956 2606 y(lo)r(c)3056 2575 y
FH(\()p FI(R)3178 2539 y FC(1+)p FF(d)3320 2575 y FH(;)17
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FA(\030)s FH(\))p FL(tr)r FA(\026)p FB(:)-165 2981 y
Fw(P)m(osebno,)34 b(vrijedi)f(da)g(je)-165 3228 y FH(\(21\))1185
b FA(\026)28 b FH(=)1406 3160 y FA(\030)d FE(\012)e FA(\030)p
1406 3205 230 4 v 1473 3296 a(\030)1527 3267 y FC(2)1645
3228 y FL(tr)r FA(\026)p FB(;)211 b FA(\030)31 b FE(6)p
FH(=)c FL(0)17 b FB(;)-165 3475 y Fw(zb)s(og)29 b(\024)-46
b(cega)33 b(je)f(mjera)h FA(\026)f Fw(realna.)-165 3617
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3632 y FF(n)3593 3617 y FH(\))3631 3632 y FF(i)-165 3735
y FH(za)46 b FB(i;)17 b(j)56 b FH(=)51 b(1)p FB(;)17
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b FH(\()p FI(A)1352 3750 y FF(ij)1417 3735 y FL(v)1462
3750 y FF(n)1512 3735 y FH(\))51 b(=)f FL(0)p FH(,)g(pri)43
b(\024)-46 b(cem)m(u)47 b(su)g(elemen)m(ti)h(matrice)e
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y(relacijama)1091 4086 y(\()p FI(A)1214 4101 y FF(ij)1279
4086 y FH(\))1317 4104 y FF(k)r(l)1415 4086 y FH(=)1519
3882 y Fu(8)1519 3972 y(<)1519 4151 y(:)1663 3967 y FH(1)p
FB(;)153 b(k)30 b FH(=)e FB(i;)33 b(l)d FH(=)e FB(j)1624
4086 y FE(\000)p FH(1)p FB(;)117 b(k)31 b FH(=)d FB(j;)33
b(l)d FH(=)e FB(i)1663 4205 y FH(0)p FB(;)263 b FH(ina"c)q(e)-165
4368 y(Stoga,)32 b(na)g(osno)m(vu)i(lok)-5 b(alizacijsk)m(og)34
b(sv)m(o)5 b(jstv)-5 b(a)34 b(vrijedi)f(da)g(je)-165
4569 y(\(22\))1010 b FB(\030)1062 4584 y FF(j)1102 4569
y FB(\026)1161 4528 y FF(im)1286 4569 y FH(=)28 b FB(\030)1433
4584 y FF(i)1463 4569 y FB(\026)1522 4528 y FF(j)t(m)1726
4569 y FB(i;)17 b(j;)g(m)29 b FH(=)e(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d)27
b(:)-165 4770 y FH(P)m(osebno,)34 b(uvr)-5 b(\024)-44
b(sta)m(v)-5 b(a)5 b(ju)m(\023)-46 b(ci)34 b FB(m)28
b FH(=)g FB(i)p FH(,)k(sumacijom)i(p)s(o)e FB(i)h FH(slijedi)-165
4971 y(\(23\))1432 b(\()p FL(tr)r FA(\026)p FH(\))17
b FA(\030)30 b FH(=)d FA(\026)17 b(\030)30 b FB(:)-165
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h(da)f(je)-165 5373 y(\(24\))851 b FB(\030)903 5388 y
FF(j)943 5373 y FB(\026)1002 5332 y FF(im)1127 5373 y
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5332 y FF(j)t(m)1497 5373 y FH(=)g FB(\030)1644 5388
y FF(i)1682 5373 y FH(\026)-57 b FB(\026)1733 5332 y
FF(mj)1868 5373 y FH(=)27 b FB(\030)2014 5388 y FF(m)2094
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y FH(=)28 b FB(\030)2385 5388 y FF(m)2456 5373 y FB(\026)2515
5332 y FF(j)t(i)2609 5373 y FB(:)-165 5574 y FH(Pri)47
b(tome)g(smo)h(u)f(drugo)5 b(j)47 b(jednak)m(osti)h(k)m(oristili)g
(hermiti)m(\024)-46 b(cnost)49 b(matrice)e FA(\026)p
FH(,)j(u)d(tre)m(\023)-46 b(co)5 b(j)48 b(eviden)m(tn)m(u)-168
5692 y(\024)-46 b(cinjenicu)47 b(da)e(\(22\))g(vrijedi)h(i)g(za)f
(matricu)p 1526 5636 71 4 v 46 w FA(\026)p FH(,)j(te)e(na)f(k)m(oncu,)
50 b(u)c(p)s(osljednjo)5 b(j)46 b(jednak)m(osti)h(nano)m(v)m(o)-165
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eop end
%%Page: 23 29
TeXDict begin 23 28 bop 2420 -116 a Fx(Primjena)27 b(H-mjera)g(na)g
(parab)r(oli)n(\024)-39 b(ck)n(e)25 b(zada)n(\023)-39
b(ce)293 83 y FH(Mno)m(\024)-46 b(ze)m(\023)g(ci)34 b(zadnju)f
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h(p)s(o)e FB(m)h FH(i)f(k)m(ori)-5 b(\024)-44 b(stenjem)35
b(\(23\),)d(slijedi)h(da)g(je)1232 188 y Fu( )1310 263
y(X)1349 473 y FF(m)1471 358 y FB(\030)1519 317 y FC(2)1514
383 y FF(m)1585 188 y Fu(!)1681 358 y FB(\026)1740 317
y FF(j)t(i)1833 358 y FH(=)28 b FB(\030)1980 373 y FF(j)2019
358 y FH(\()p FA(\026)17 b(\030)s FH(\))2237 373 y FF(i)2294
358 y FH(=)28 b FB(\030)2441 373 y FF(j)2480 358 y FB(\030)2523
373 y FF(i)2570 358 y FL(tr)q FA(\026)p FB(:)71 633 y
FH(Kak)m(o)33 b(dualna)f(v)-5 b(arijabla)32 b FA(\021)f
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(vrijednosti)i(na)f(jedini)m(\024)-46 b(cno)5 b(j)33
b(sferi,)h(slijedi)f(da)g(je)1476 819 y(\(1)22 b FE(\000)g
FB(\034)1737 778 y FC(2)1781 819 y FH(\))p FA(\026)27
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b(5.)99 b Fw(Za)32 b(mjeru)h FA(\026)1052 1300 y FC(12)1165
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b(a)33 b(matri)m(\024)-46 b(cn)m(u)34 b(jednak)m(ost)1380
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y Fw(o)s(dnosno,)k(za)h FA(\030)d FE(6)p FH(=)d FL(0)32
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FC(12)1623 2086 y FH(=)27 b(\()p FB(\027)1812 2101 y
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FA(\026)3817 2050 y FF(i)3817 2114 y FC(12)71 2215 y
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FA(\026)1281 2230 y FC(12)1362 2215 y Fw(.)293 2334 y(P)m(osebno,)h
(vrijedi)f(da)g(je)g FA(\026)1320 2349 y FC(12)1417 2334
y FA(\030)58 b FH(=)27 b(\()p FL(tr)r FA(\026)1808 2349
y FC(12)1888 2334 y FH(\))17 b FA(\030)s Fw(.)71 2474
y FL(Dem.)96 b FH(Ozna)m(\024)-46 b(cimo)34 b(s)923 2473
y(~)912 2474 y FA(\026)f FH(H-mjeru)g(pridru)m(\024)-46
b(zen)m(u)36 b(nizu)e(\()p FL(v)2188 2489 y FF(n)2238
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2489 y FF(j)3571 2474 y FH(\()p FL(v)3654 2489 y FF(n)3704
2474 y FH(\))3742 2489 y FF(i)3806 2474 y FH(za)71 2593
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b FB(\030)1290 3204 y FF(j)1330 3189 y FB(\026)1389 3147
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3218 y FC(12)1857 3189 y FB(;)114 b(i;)17 b(j;)g(m)29
b FH(=)e(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d;)66 3375 y FH(\024)-44
b(sto)33 b(je)f(relacija)h(analogna)f(relaciji)h(\(22\).)43
b(Uvr)-5 b(\024)-44 b(sta)m(v)-5 b(a)5 b(ju)m(\023)-46
b(ci)34 b FB(m)28 b FH(=)g FB(i)k FH(i)h(sumira)5 b(ju)m(\023)-46
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y FB(\030)1384 3595 y FF(j)1423 3580 y FL(tr)r FA(\026)1564
3595 y FC(12)1672 3580 y FH(=)1776 3485 y Fu(X)1834 3701
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h(dok)-5 b(aza)37 b(pretho)s(dne)g(leme)h(ne)71 4256
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b(a)33 b(tra)m(\024)-46 b(zena)33 b(tvrdnja.)293 4865
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FB(\030)1372 4880 y FF(j)1444 4865 y FH(i)f(zbra)5 b(ja)g(ju)m(\023)-46
b(ci)34 b(p)s(o)e FB(j)38 b FH(dobije)33 b(se)h(da)e(je)1480
5061 y(\(1)22 b FE(\000)h FB(\034)1742 5020 y FC(2)1785
5061 y FH(\))p FB(\026)1882 5020 y FF(im)1882 5086 y
FC(12)2007 5061 y FH(=)28 b FB(\030)2154 5076 y FF(i)2184
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5366 y FH(\))p FA(\026)1575 5325 y FF(m)1575 5391 y FC(12)1683
5366 y FH(=)27 b(\()p FA(\026)1895 5325 y FF(m)1895 5391
y FC(12)1998 5366 y FE(\001)22 b FA(\030)s FH(\))p FA(\030)29
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5325 y FF(m)2700 5391 y FC(12)2780 5366 y FB(;)71 5562
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FA(\026)2177 5577 y FC(12)2288 5562 y FH(jednak)g FB(\027)2648
5577 y FF(i)2679 5562 y FA(\030)s FH(,)f(gdje)h(je)f
FB(\027)3148 5577 y FF(i)3207 5562 y FH(=)3320 5513 y
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b(Radono)m(v)-5 b(a)32 b(mjera,)h(o)s(dnosno)g(distribucija)g(reda)g(n)
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536 y Fw(.)-165 681 y FL(Dem.)93 b FH(Uz)33 b(oznaku)g
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b(=)h FL(tr)18 b FH(\(\()p FA(\026)1528 916 y FC(12)1608
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b(=)h FL(tr)18 b FH(\()p FI(C)p 2165 845 71 4 v 17 w
FA(\026)2235 924 y FC(21)2316 901 y FH(\))28 b(=)f FL(tr)19
b FH(\()p 2610 845 V FA(\026)2680 924 y FC(21)2761 901
y FI(C)p FH(\))28 b(=)p 3011 845 V 27 w FA(\026)3082
924 y FC(21)3185 901 y FE(\001)22 b FI(C)p FB(;)-165
1121 y FH(pri)30 b(\024)-46 b(cem)m(u)33 b(je)g(k)m(ori)-5
b(\024)-44 b(stena)34 b(realnost)f(i)g(simetri)m(\024)-46
b(cnost)34 b(matrice)f FI(C)p FH(.)57 1240 y(Preostale)38
b(tvrdnje)f(se)h(dobiju)f(adjungiranjem)g(o)s(dgo)m(v)-5
b(ara)5 b(ju)m(\023)-46 b(cih)37 b(tvrdnji)h(za)f(mjeru)g
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1323 y FD(\003)435 1387 y FC(12)543 1359 y FH(=)27 b
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FH(=)f FE(\000)p FH(\()p FL(tr)r FA(\026)3010 1664 y
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b(k)m(onju-)-165 1768 y(giranjem,)j(zb)s(og)h(realnosti)g(mjere)g
FA(\026)p FH(,)f(prelazi)i(u)1342 1988 y FA(\026)p FI(A)p
FA(\030)c FH(=)d FE(\000)p FH(\()p FL(tr)r FA(\026)1938
2003 y FC(21)2019 1988 y FH(\))17 b FA(\030)s FB(:)57
2209 y FH(Nadalje,)32 b(mno)m(\024)-46 b(ze)m(\023)g(ci)33
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b(osim)f(prv)m(og)h(k)m(on)m(v)m(ergira)5 b(ju)38 b(jak)m(o)e(k)h(n)m
(uli)g(u)f(L)3298 2958 y FC(2)3298 3026 y(lo)r(c)3398
2994 y FH(\()p FI(R)3520 2958 y FC(+)3605 2994 y FE(\002)23
b FI(R)3789 2958 y FF(d)3833 2994 y FH(\),)71 3113 y(lak)m(o)g(se)g
(pro)m(vjeri)h(da)e(je)h(za)g(prizv)m(oljni)g(pseudo)s(diferencijalni)i
(op)s(erator)d FB(P)j FE(2)j FH(\011)2985 3077 y FC(0)2985
3138 y FF(c)3050 3113 y FH(limes)c FE(h)p FB(P)14 b(@)3457
3128 y FF(x)3504 3113 y FB(u)3560 3128 y FF(n)3610 3113
y FB(;)j(@)3705 3128 y FF(x)3753 3113 y FB(u)3809 3128
y FF(n)3859 3113 y FE(i)71 3232 y FH(jednak)43 b(limesu)h(izraza)e
FE(h)p FB(P)14 b(@)1167 3247 y FF(x)1215 3232 y FB(f)1263
3247 y FF(n)1313 3232 y FB(;)j(@)1408 3247 y FF(x)1456
3232 y FB(f)1504 3247 y FF(n)1555 3232 y FE(i)p FB(=a)1694
3196 y FC(2)1736 3232 y FH(.)73 b(Stoga)41 b(je,)k FB(a)2312
3196 y FC(2)2355 3232 y FB(\026)f FH(=)g FB(\026)2637
3249 y FF(f)2686 3232 y FB(;)f FH(k)-5 b(ao)37 b(\024)-44
b(sto)42 b(smo)h(i)f(o)m(\024)-46 b(cekiv)-5 b(ali)44
b(na)71 3351 y(osno)m(vu)34 b(izraza)e(\(27\).)p 3868
3393 30 43 v 293 3516 a(Zanimljiviji)27 b(problem)g(je)g(ona)5
b(j)26 b(u)h(k)m(o)5 b(jem)28 b(je)f(mjera)f FB(\026)2287
3534 y FF(f)2363 3516 y FH(no)-5 b(\024)-44 b(sena)27
b(na)g(p)s(olo)m(vima,)h(jer)f(u)f(tim)h(to)m(\024)-46
b(ck)-5 b(a-)71 3635 y(ma)32 b(nemamo)g(nik)-5 b(akv)m(e)34
b(relacije)e(izmed)p 1520 3583 30 2 v 2 w(u)g(mjera.)43
b(Stoga)32 b(promatramo)f(sljede)m(\023)-46 b(cu)34 b(vi)-5
b(\024)-44 b(sesk)-5 b(aln)m(u)34 b(zada)m(\023)-46 b(cu)71
3754 y(k)m(o)5 b(ja)24 b(sadr)m(\024)-46 b(zi)25 b(asimetriju)g(izmed)p
1214 3702 V 2 w(u)f(vremensk)m(e)k(i)c(prostorne)h(k)m(o)s(ordinate.)41
b(Kao)23 b(i)h(prije,)j(p)s(o)m(\024)-46 b(cetne)25 b(uvjete)71
3873 y(uzimamo)33 b(da)g(su)g(jednaki)g(n)m(uli,)h(jer)e(oni)h(ne)g
(utje)m(\024)-46 b(cu)33 b(na)g(mjeru)g FA(\026)p FH(.)71
4038 y FI(Primjer)k(2.)143 b FH(Promotrimo)33 b(niz)g(L)1483
4002 y FC(2)1483 4070 y(lo)r(c)1583 4038 y FH(\()p FI(R)1705
4002 y FC(2)1747 4038 y FH(\))g(funk)m(cija)g(\()p FB(\013)g
FH(i)g FB(\014)38 b FH(su)33 b(proizv)m(oljne)h(realne)f(k)m(onstan)m
(te\):)424 4298 y FB(f)472 4313 y FF(n)522 4298 y FH(\()p
FB(t;)17 b(x)p FH(\))28 b(=)g(sin)1000 4217 y Fu(\000)1046
4298 y FH(2)p FB(\031)t FH(\()p FB(\013)q(n)1313 4256
y FC(2)1355 4298 y FB(t)22 b FH(+)g FB(\014)6 b(nx)p
FH(\))1722 4217 y Fu(\001)1796 4298 y FH(=)1926 4230
y(1)p 1909 4275 83 4 v 1909 4366 a(2)p FB(i)2018 4187
y Fu(\020)2077 4298 y FB(e)2122 4256 y FC(2)p FF(\031)s(i)p
FC(\()p FF(\013n)2358 4225 y Fv(2)2396 4256 y FF(t)p
FC(+)p FF(\014)t(nx)p FC(\))2677 4298 y FE(\000)23 b
FB(e)2822 4256 y FD(\000)p FC(2)p FF(\031)s(i)p FC(\()p
FF(\013n)3118 4225 y Fv(2)3156 4256 y FF(t)p FC(+)p FF(\014)t(nx)p
FC(\))3414 4187 y Fu(\021)3518 4298 y FB(:)76 4524 y
FH(\024)71 4550 y(Zelimo)33 b(izra)m(\024)-46 b(cunati)33
b(H-mjeru)g FB(\026)1290 4567 y FF(f)1371 4550 y FH(pridru)m(\024)-46
b(zen)m(u)35 b(nizu)e FB(f)2121 4565 y FF(n)2172 4550
y FH(,)f(o)s(dnosno,)h(limes)1311 4792 y(lim)1356 4852
y FF(n)1447 4681 y Fu(D)1508 4792 y FB( )t FH(\()p FB(\034)6
b(;)17 b(\030)5 b FH(\))1811 4766 y(^)1791 4792 y FB(f)1839
4807 y FF(n)1888 4792 y FH(\()p FB(\034)h(;)17 b(\030)5
b FH(\))p FB(;)2157 4766 y Fu(d)2163 4792 y FH(\026)-64
b FB(')o(f)2259 4807 y FF(n)2326 4792 y FH(\()p FB(\034)6
b(;)17 b(\030)5 b FH(\))2542 4681 y Fu(E)2630 4792 y
FB(;)71 5042 y FH(gdje)33 b(je)f FB( )t FH(\()p FB(\034)6
b(;)17 b(\030)5 b FH(\))p FB(')p FH(\()p FB(t;)17 b(x)p
FH(\))32 b(gla)m(vni)h(sim)m(b)s(ol)h(op)s(eratora)d
FB(P)41 b FE(2)28 b FH(\011)2286 5006 y FC(0)2286 5067
y FF(c)2329 5042 y FH(\()p FI(R)2451 5006 y FC(+)2520
5042 y FE(\002)22 b FI(R)p FH(\))p FB(:)33 b FH(Kak)m(o)f(je)978
5268 y(^)957 5294 y FB(f)1005 5309 y FF(n)1056 5294 y
FH(\()p FB(\034)6 b(;)17 b(\030)5 b FH(\))26 b(=)1428
5227 y(1)p 1412 5271 V 1412 5363 a(2)p FB(i)1504 5184
y Fu(\020)1563 5294 y FB(\016)1606 5319 y FF(\013n)1701
5297 y Fv(2)1744 5294 y FH(\()p FB(\034)11 b FH(\))p
FB(\016)1916 5312 y FF(\014)t(n)2014 5294 y FH(\()p FB(\030)5
b FH(\))21 b FE(\000)i FB(\016)2302 5319 y FD(\000)p
FF(\013n)2457 5297 y Fv(2)2499 5294 y FH(\()p FB(\034)11
b FH(\))p FB(\016)2671 5312 y FD(\000)p FF(\014)t(n)2829
5294 y FH(\()p FB(\030)5 b FH(\))2953 5184 y Fu(\021)71
5528 y FH(slijedi)34 b(da)e(je)h(tra)m(\024)-46 b(zeni)33
b(limes)h(jednak)71 5774 y(lim)115 5834 y FF(n)233 5707
y FH(1)p 233 5752 49 4 v 233 5843 a(4)292 5664 y Fu(\020)351
5774 y FB( )t FH(\()p FB(\013)q(n)577 5733 y FC(2)620
5774 y FB(;)17 b(\014)6 b(n)p FH(\))821 5664 y Fu(\020)895
5774 y FH(\024)-64 b FB(')o FH(\(0)p FB(;)17 b FH(0\))i
FE(\000)h FH(\024)-66 b FB(')q FH(\()p FE(\000)p FH(2)p
FB(\013)q(n)1610 5733 y FC(2)1653 5774 y FB(;)17 b FE(\000)p
FH(2)p FB(\014)6 b(n)p FH(\))1980 5664 y Fu(\021)2042
5774 y FE(\000)s FB( )t FH(\()p FE(\000)p FB(\013)q(n)2425
5733 y FC(2)2469 5774 y FB(;)17 b FE(\000)p FB(\014)6
b(n)p FH(\))2747 5664 y Fu(\020)2822 5774 y FH(\024)-65
b FB(')p FH(\(2)p FB(\013)q(n)3078 5733 y FC(2)3121 5774
y FB(;)17 b FH(2)p FB(\014)6 b(n)p FH(\))19 b FE(\000)g
FH(\024)-65 b FB(')p FH(\(0)p FB(;)17 b FH(0\))3752 5664
y Fu(\021\021)3871 5774 y FB(:)3770 6010 y Fz(25)p eop
end
%%Page: 26 32
TeXDict begin 26 31 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-165 83 y FH(Kak)m(o)k(je)h
FB( )k FH(homogena)32 b(funk)m(cija)i(reda)e(0,)h(te)g
FB(')27 b FE(2)h FH(C)1818 47 y FD(1)1818 108 y FF(c)1900
83 y FH(\()p FI(R)2022 47 y FC(+)2107 83 y FE(\002)23
b FI(R)p FH(\))o FB(;)33 b FH(^)-65 b FB(')28 b FE(2)g(S)7
b FB(;)33 b FH(dobijemo)g(da)g(je)874 350 y FB(\026)933
367 y FF(f)1010 350 y FH(=)1124 282 y(1)p 1124 327 49
4 v 1124 418 a(4)1199 269 y Fu(\000)1245 350 y FB(\016)1288
371 y FC(\(1)p FF(;)p FC(0\))1450 350 y FH(\()p FB(\034)6
b(;)17 b(\030)5 b FH(\))21 b(+)h FB(\016)1828 371 y FC(\()p
FD(\000)p FC(1)p FF(;)p FC(0\))2050 350 y FH(\()p FB(\034)6
b(;)17 b(\030)5 b FH(\))2266 269 y Fu(\001)2327 350 y
FB(\025)p FH(\()p FB(t;)17 b(x)p FH(\))p FB(;)-165 597
y FH(i.e.)39 b(H-mjera)g(je)g(no)-5 b(\024)-44 b(sena)40
b(u)f(dvije)h(to)m(\024)-46 b(ck)m(e)40 b(dualnog)f(prostora,)h(sjev)m
(ernom)h(i)e(ju)m(\024)-46 b(znom)40 b(p)s(olu,)h(k)-5
b(ao)33 b(\024)-44 b(sto)-165 716 y(smo)33 b(i)f(h)m(tjeli.)57
835 y(S)g(druge)h(strane,)h(eksplicitno)g(rje)-5 b(\024)-44
b(senje)34 b(zada)m(\023)-46 b(ce)1261 965 y Fu(8)1261
1055 y(<)1261 1234 y(:)1366 1117 y FB(@)1417 1132 y FF(t)1449
1117 y FB(u)1505 1132 y FF(n)1577 1117 y FE(\000)1687
1050 y FB(@)1743 1014 y FC(2)1786 1050 y FB(u)1842 1065
y FF(n)p 1687 1094 206 4 v 1712 1186 a FB(@)5 b(x)1823
1157 y FC(2)1930 1117 y FH(=)2043 1050 y FB(@)g(f)2147
1065 y FF(n)p 2043 1094 156 4 v 2065 1186 a FB(@)g(x)1672
1294 y(u)1728 1309 y FF(n)1778 1294 y FH(\(0\))27 b(=)h(0)p
FB(;)-165 1503 y FH(dano)k(je)h(form)m(ulom)111 1769
y FB(u)167 1784 y FF(n)245 1769 y FH(=)672 1701 y FB(\014)p
358 1746 689 4 v 358 1837 a(n)p FH(\(\(2)p FB(\031)t(\014)661
1808 y FC(2)703 1837 y FH(\))741 1808 y FC(2)806 1837
y FH(+)22 b FB(\013)967 1808 y FC(2)1009 1837 y FH(\))1057
1658 y Fu(\020)1116 1769 y FH(2)p FB(\031)t(\014)1285
1728 y FC(2)1344 1769 y FH(cos)1474 1658 y Fu(\020)1534
1769 y FH(2)p FB(\031)t FH(\()p FB(\013)q(n)1801 1728
y FC(2)1843 1769 y FB(t)g FH(+)g FB(\014)6 b(nx)p FH(\))2210
1658 y Fu(\021)2292 1769 y FH(+)22 b FB(\013)c FH(sin)2589
1658 y Fu(\020)2649 1769 y FH(2)p FB(\031)t FH(\()p FB(\013)q(n)2916
1728 y FC(2)2958 1769 y FB(t)k FH(+)g FB(\014)6 b(nx)p
FH(\))3325 1658 y Fu(\021)1139 2016 y FE(\000)22 b FB(e)1283
1975 y FD(\000)p FC(\(2)p FF(\031)s(\014)t(n)p FC(\))1581
1943 y Fv(2)1619 1975 y FF(t)1651 1905 y Fu(\020)1710
2016 y FH(2)p FB(\031)t(\014)1879 1975 y FC(2)1937 2016
y FH(cos)q(\(2)p FB(\031)t(\014)6 b(nx)p FH(\))22 b(+)g
FB(\013)17 b FH(sin)q(\(2)p FB(\031)t(\014)6 b(nx)p FH(\))3103
1905 y Fu(\021\021)3222 2016 y FB(:)-165 2275 y FH(Kak)m(o)32
b(je)h FB(@)246 2290 y FF(x)294 2275 y FB(u)350 2290
y FF(n)433 2275 y FH(jednak)g(\(do)f(na)h(jak)m(o)g(k)m(on)m(v)m(ergen)
m(tan)f(\024)-46 b(clan)33 b(u)f(L)2214 2239 y FC(2)2214
2307 y(lo)r(c)2314 2275 y FH(\()p FI(R)2436 2239 y FC(+)2522
2275 y FE(\002)23 b FI(R)p FH(\))o(\))366 2501 y(2)p
FB(\031)t(\014)535 2465 y FC(2)p 194 2545 555 4 v 194
2637 a FH(\(2)p FB(\031)t(\014)401 2608 y FC(2)443 2637
y FH(\))481 2608 y FC(2)546 2637 y FH(+)f FB(\013)707
2608 y FC(2)775 2458 y Fu(\020)835 2568 y FE(\000)p FH(2)p
FB(\031)t(\014)1081 2527 y FC(2)1140 2568 y FH(sin)1260
2458 y Fu(\020)1319 2568 y FH(2)p FB(\031)t FH(\()p FB(\013)q(n)1586
2527 y FC(2)1628 2568 y FB(t)h FH(+)f FB(\014)6 b(nx)p
FH(\))1996 2458 y Fu(\021)2077 2568 y FH(+)22 b FB(\013)c
FH(cos)2385 2458 y Fu(\020)2445 2568 y FH(2)p FB(\031)t
FH(\()p FB(\013)q(n)2712 2527 y FC(2)2754 2568 y FB(t)k
FH(+)g FB(\014)6 b(nx)p FH(\))3121 2458 y Fu(\021)q(\021)3285
2568 y FB(;)-165 2841 y FH(vidimo)33 b(da)g(je)674 3045
y FB(\026)28 b FH(=)864 2875 y Fu( )943 2905 y(\022)1139
2978 y FH(\(2)p FB(\031)t(\014)1346 2941 y FC(2)1388
2978 y FH(\))1426 2941 y FC(2)p 1026 3022 V 1026 3113
a FH(\(2)p FB(\031)t(\014)1233 3085 y FC(2)1275 3113
y FH(\))1313 3085 y FC(2)1378 3113 y FH(+)22 b FB(\013)1539
3085 y FC(2)1591 2905 y Fu(\023)1664 2920 y FC(2)1729
3045 y FH(+)1827 2905 y Fu(\022)2051 2978 y FH(2)p FB(\031)t(\013)q
(\014)2283 2941 y FC(2)p 1910 3022 V 1910 3113 a FH(\(2)p
FB(\031)t(\014)2117 3085 y FC(2)2159 3113 y FH(\))2197
3085 y FC(2)2262 3113 y FH(+)g FB(\013)2423 3085 y FC(2)2475
2905 y Fu(\023)2548 2920 y FC(2)2591 2875 y Fu(!)2686
3045 y FB(\026)2745 3063 y FF(f)2795 3045 y FB(;)-165
3307 y FH(o)s(dnosno)32 b(relacija)h(izmed)p 770 3255
30 2 v 2 w(u)f(dviju)i(H-mjera)e(je)-165 3588 y(\(28\))1273
b FB(\026)27 b FH(=)1594 3521 y(\(2)p FB(\031)t(\014)1801
3485 y FC(2)1843 3521 y FH(\))1881 3485 y FC(2)p 1481
3566 555 4 v 1481 3657 a FB(\013)1544 3628 y FC(2)1609
3657 y FH(+)22 b(\(2)p FB(\031)t(\014)1914 3628 y FC(2)1956
3657 y FH(\))1994 3628 y FC(2)2079 3588 y FB(\026)2138
3606 y FF(f)2187 3588 y FB(:)p 3632 3852 30 43 v 57 3980
a FH(Iz)29 b(zadnjeg)h(primjera)f(vidljiv)m(o)h(je)f(na)5
b(jprije)30 b(da)f(se)h(mjere)f FA(\026)g FH(i)g FA(\026)2444
3997 y FF(f)2522 3980 y FH(razlikuju)h(uk)m(olik)m(o)g(su)g(no)-5
b(\024)-44 b(sene)-165 4098 y(u)44 b(p)s(olo)m(vima.)78
b(T)-8 b(ak)m(od)p 653 4046 30 2 v 1 w(er,)47 b(zb)s(og)d(proizv)m
(oljnosti)h(k)m(onstan)m(ti)g FB(\013)g FH(i)f FB(\014)6
b FH(,)46 b(iz)e(relacije)h(\(28\))e(slijedi)i(da)f(ne)-165
4217 y(p)s(osto)5 b(ji)41 b(op)m(\023)-46 b(ca)42 b(form)m(ula)g(k)m(o)
5 b(ja)42 b(bi)g(p)s(o)m(v)m(eziv)-5 b(ala)42 b(vrijednosti)h(tih)f
(mjera)g(u)f(p)s(olo)m(vima)h(za)g(proizv)m(oljn)m(u)-165
4336 y(desn)m(u)34 b(stran)m(u.)57 4455 y(U)43 b(gornjim)g(primjerima)h
(je)f(dimenzija)i(prostorne)f(v)-5 b(arijable)43 b FB(d)g
FH(bila)g(1.)75 b(Zanima)43 b(nas)h(k)-5 b(ak)m(o)-165
4574 y(izgleda)5 b(ju)34 b(k)m(onkretne)h(mjere)f FA(\026)f
FH(i)g FA(\026)1207 4592 y FF(f)1290 4574 y FH(u)g(slu)m(\024)-46
b(ca)5 b(ju)35 b(k)-5 b(ad)33 b(je)h FB(d)28 b(>)h FH(1,)k(te)h(mo)m
(\024)-46 b(zemo)34 b(li)f(izmed)p 3090 4522 V 2 w(u)h(njih)f(dobiti)
-165 4693 y(ja)m(\024)-46 b(cu)44 b(relaciju)h(o)s(d)f(\(26\)?)79
b(T)-8 b(o)m(\024)-46 b(cnije,)45 b(\024)-46 b(zelimo)45
b(pro)m(vjeriti)h(da)e(li)h(je)f FA(\026)2430 4710 y
FF(f)2479 4693 y FA(\030)51 b FH(=)d(\()p FL(tr)q FA(\026)p
FH(\))17 b FA(\030)s FH(,)46 b(o)s(dnosno)f(da)f(li)-165
4811 y(je)f FL(tr)q FA(\026)p FH(\()p FB(t;)17 b FI(x)p
FB(;)g(\034)6 b(;)17 b FA(\030)s FH(\))42 b(sv)m(o)5
b(jstv)m(ena)45 b(vrijednost)f(za)f FA(\026)1694 4829
y FF(f)1743 4811 y FH(\()p FB(t;)17 b FI(x)p FB(;)g(\034)6
b(;)17 b FA(\030)s FH(\),)39 b(\024)-44 b(sto)43 b(je)g(tvrdnja)g
(dobiv)m(ena)i(usmenim)-165 4930 y(priop)m(\023)-46 b(cenjem.)45
b(T)-8 b(ak)m(od)p 651 4878 V 1 w(er)33 b(bismo)g(na)g(primjerima)g(h)m
(tjeli)g(p)s(otvrditi)g(relacije)g(\(19\))f(i)h(\(20\).)-165
5101 y FI(Primjer)k(3.)143 b FH(De\014nira)5 b(jmo)33
b(niz)g(funk)m(cija)h FL(f)1574 5116 y FF(n)1651 5101
y FE(2)29 b FH(L)1807 5065 y FC(2)1807 5133 y(lo)r(c)1907
5101 y FH(\()p FI(R)2029 5065 y FC(1+2)2169 5101 y FH(\))762
5332 y FB(f)821 5291 y FC(1)810 5357 y FF(n)863 5332
y FH(\()p FB(t;)17 b(x)1035 5291 y FC(1)1078 5332 y FB(;)g(x)1177
5291 y FC(2)1220 5332 y FH(\))28 b(=)f FB(f)1448 5291
y FC(2)1437 5357 y FF(n)1490 5332 y FH(\()p FB(t;)17
b(x)1662 5291 y FC(1)1705 5332 y FB(;)g(x)1804 5291 y
FC(2)1847 5332 y FH(\))27 b(=)h(sin)q(\(2)p FB(\031)t(n)p
FH(\()p FB(t)22 b FH(+)g FB(x)2588 5291 y FC(1)2631 5332
y FH(\)\))p FB(:)-165 5552 y FH(Rje)-5 b(\024)-44 b(senje)33
b(zada)m(\023)-46 b(ce)721 5598 y Fu(\032)812 5672 y
FB(@)863 5687 y FF(t)896 5672 y FB(u)952 5687 y FF(n)1024
5672 y FE(\000)22 b FH(\001)p FB(u)1260 5687 y FF(n)1338
5672 y FH(=)28 b FL(div)17 b(f)1607 5687 y FF(n)1685
5672 y FH(=)28 b(\(2)p FB(\031)t(n)p FH(\))17 b(cos\(2)p
FB(\031)t(n)p FH(\()p FB(t)22 b FH(+)g FB(x)2630 5630
y FC(1)2673 5672 y FH(\)\))1080 5815 y FB(u)1136 5830
y FF(n)1186 5815 y FH(\(0\))27 b(=)h(0)p FB(;)-165 6010
y Fz(26)p eop end
%%Page: 27 33
TeXDict begin 27 32 bop 2420 -116 a Fx(Primjena)27 b(H-mjera)g(na)g
(parab)r(oli)n(\024)-39 b(ck)n(e)25 b(zada)n(\023)-39
b(ce)71 83 y FH(dano)32 b(je)h(form)m(ulom)440 296 y
FB(u)496 311 y FF(n)546 296 y FH(\()p FB(t;)17 b(x)718
255 y FC(1)760 296 y FB(;)g(x)859 255 y FC(2)902 296
y FH(\))28 b(=)1283 229 y(1)p 1081 274 454 4 v 1081 365
a(\(2)p FB(\031)t(n)p FH(\))1323 336 y FC(2)1388 365
y FH(+)22 b(1)1544 186 y Fu(\020)1604 296 y FH(2)p FB(\031)t(n)17
b FH(cos\(2)p FB(\031)t(n)p FH(\()p FB(t)22 b FH(+)g
FB(x)2369 255 y FC(1)2412 296 y FH(\)\))g(+)g(sin)q(\(2)p
FB(\031)t(n)p FH(\()p FB(t)g FH(+)g FB(x)3180 255 y FC(1)3223
296 y FH(\)\))1626 543 y FE(\000)h FB(e)1771 502 y FD(\000)p
FC(\(2)p FF(\031)s(n)p FC(\))2022 470 y Fv(2)2059 502
y FF(t)2091 433 y Fu(\020)2150 543 y FH(2)p FB(\031)t(n)17
b FH(cos\(2)p FB(\031)t(nx)2722 502 y FC(1)2765 543 y
FH(\))22 b(+)g(sin)q(\(2)p FB(\031)t(nx)3302 502 y FC(1)3345
543 y FH(\))3383 433 y Fu(\021\021)3502 543 y FB(:)71
745 y FH(H-mjera)32 b(pridru)m(\024)-46 b(zena)34 b(nizu)f(\()p
FL(f)1217 760 y FF(n)1268 745 y FH(\))f(dana)g(je)h(izrazom)1639
977 y FA(\026)1710 995 y FF(f)1787 977 y FH(=)1891 837
y Fu(\022)1981 918 y FB(\026)97 b(\026)1981 1036 y(\026)g(\026)2212
837 y Fu(\023)2302 977 y FB(;)71 1219 y FH(pri)30 b(\024)-46
b(cem)m(u)34 b(je)e FB(\026)h FH(H-mjera)f(pridru)m(\024)-46
b(zena)34 b(nizu)f(funk)m(cija)g(sin)q(\(2)p FB(\031)t(n)p
FH(\()p FB(t)22 b FH(+)g FB(x)2690 1182 y FC(1)2733 1219
y FH(\)\),)33 b(o)s(dnosno,)1002 1438 y FB(\026)27 b
FH(=)1202 1370 y(1)p 1202 1415 49 4 v 1202 1506 a(4)1260
1327 y Fu(\020)1320 1438 y FB(\016)1393 1447 y Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1373 1468 231 4 v 1373
1514 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p
Fq(j)1639 1438 y FH(+)22 b FB(\016)1790 1447 y Fq(\000)p
Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1791 1468 243
4 v 1797 1514 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p Fq(j)2047 1327 y Fu(\021)2090 1438 y FH(\()p
FB(\034)6 b(;)17 b(\030)2263 1453 y FC(1)2305 1438 y
FB(;)g(\030)2392 1453 y FC(2)2434 1438 y FH(\))g FB(\025)p
FH(\()p FB(t;)g(x)2718 1396 y FC(1)2760 1438 y FB(;)g(x)2859
1396 y FC(2)2902 1438 y FH(\))p FB(:)71 1666 y FH(S)33
b(druge)g(strane,)g(H-mjera)f FA(\026)g FH(pridru)m(\024)-46
b(zena)34 b(nizu)f(\()p FE(r)p FB(u)2107 1681 y FF(n)2157
1666 y FH(\))g(\(zb)s(og)f FB(@)2547 1681 y FC(2)2590
1666 y FB(u)2646 1681 y FF(n)2724 1666 y FH(=)27 b(0\))32
b(je)h(oblik)-5 b(a)1669 1898 y FA(\026)27 b FH(=)1871
1758 y Fu(\022)1961 1839 y FB(\026)97 b FH(0)1966 1957
y(0)102 b(0)2182 1758 y Fu(\023)2272 1898 y FB(:)71 2124
y FH(Nadalje,)33 b(mjera)f FA(\026)800 2139 y FC(12)913
2124 y FH(pridru)m(\024)-46 b(zena)34 b(pro)s(duktu)f
FE(r)p FB(u)1968 2139 y FF(n)2051 2124 y FH(i)f FL(f)2140
2139 y FF(n)2223 2124 y FH(je)h(oblik)-5 b(a)1577 2351
y FA(\026)1648 2366 y FC(12)1756 2351 y FH(=)27 b FE(\000)1953
2210 y Fu(\022)2043 2291 y FB(\026)98 b(\026)2048 2410
y FH(0)108 b(0)2275 2210 y Fu(\023)2365 2351 y FB(:)71
2576 y FH(Stoga)32 b(je)808 2748 y(\()p FA(\026)22 b
FH(+)g FA(\026)1108 2763 y FC(12)1188 2748 y FH(\))p
FA(\030)31 b FH(=)1411 2608 y Fu(\022)1501 2689 y FE(\000)p
FB(\030)1621 2704 y FC(2)1680 2689 y FB(\026)1596 2807
y FH(0)1756 2608 y Fu(\023)1857 2748 y FH(=)c FL(0)h
FH(=)2140 2608 y Fu(\022)2230 2689 y FB(\030)2273 2704
y FC(2)2332 2689 y FB(\026)2230 2807 y(\030)2273 2822
y FC(2)2332 2807 y FB(\026)2407 2608 y Fu(\023)2508 2748
y FH(=)g(\()p FA(\026)2721 2763 y FC(21)2823 2748 y FH(+)22
b FA(\026)2992 2766 y FF(f)3041 2748 y FH(\))p FA(\030)s
FB(;)66 2964 y FH(\024)-44 b(sto)33 b(je)f(u)h(skladu)h(s)f(relacijama)
f(\(19\))g(i)h(\(20\).)293 3082 y(T)-8 b(ak)m(od)p 521
3030 30 2 v 1 w(er,)791 3322 y FA(\026)862 3340 y FF(f)911
3322 y FA(\030)30 b FH(=)1096 3181 y Fu(\022)1186 3263
y FB(\030)1229 3278 y FC(1)1288 3263 y FB(\026)1186 3381
y(\030)1229 3396 y FC(1)1288 3381 y FB(\026)1363 3181
y Fu(\023)1464 3322 y FH(=)1577 3255 y(1)p 1577 3299
49 4 v 1577 3390 a(4)1646 3172 y FE(p)p 1729 3172 V 83
x FH(2)p 1646 3299 132 4 v 1688 3390 a(2)1788 3211 y
Fu(\020)1847 3322 y FH(\()p FB(\016)1958 3331 y Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1938 3352 231 4 v 1938
3399 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p
Fq(j)2205 3322 y FH(+)22 b FB(\016)2356 3331 y Fq(\000)p
Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 2356 3352 243
4 v 2362 3399 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p Fq(j)2613 3322 y FH(\))g Fr(\002)g FB(\025)2829
3211 y Fu(\021)2905 3181 y(\022)2995 3263 y FH(1)2995
3381 y(1)3061 3181 y Fu(\023)3150 3322 y FB(;)66 3548
y FH(\024)-44 b(sto)33 b(je)f(razli)m(\024)-46 b(cito)33
b(o)s(d)735 3788 y(\()p FL(tr)q FA(\026)p FH(\))17 b
FA(\030)30 b FH(=)1152 3647 y Fu(\022)1242 3729 y FB(\030)1285
3744 y FC(1)1344 3729 y FB(\026)1242 3847 y(\030)1285
3862 y FC(2)1344 3847 y FB(\026)1419 3647 y Fu(\023)1520
3788 y FH(=)1634 3720 y(1)p 1634 3765 49 4 v 1634 3856
a(4)1702 3638 y FE(p)p 1785 3638 V 82 x FH(2)p 1702 3765
132 4 v 1744 3856 a(2)1844 3677 y Fu(\020)1904 3788 y
FH(\()p FB(\016)2014 3797 y Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p 1995 3818 231 4 v 1995 3865 a Fq(j)p Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2261 3788 y FH(+)22
b FB(\016)2412 3797 y Fq(\000)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0\))p 2412 3818 243 4 v 2418 3865 a Fq(j)p
Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2669 3788
y FH(\))g Fr(\002)h FB(\025)2886 3677 y Fu(\021)2962
3647 y(\022)3051 3729 y FH(1)3051 3847 y(0)3117 3647
y Fu(\023)3207 3788 y FB(:)74 4008 y FH(\024)71 4033
y(Sto)m(vi)-5 b(\024)-44 b(se,)29 b FA(\026)495 4050
y FF(f)544 4033 y FA(\030)h FE(6)p FH(=)e FB(\027)6 b
FA(\030)29 b FH(za)d(sv)-5 b(aku)27 b(sk)-5 b(alarn)m(u)27
b(Radono)m(vu)f(mjeru)h FB(\027)32 b FH(na)26 b FI(R)2646
3997 y FC(1+2)2795 4033 y FE(\002)9 b FH(S)2935 3997
y FC(2)2978 4033 y FH(.)42 b(Zaista,)27 b(u)f(suprotnom)71
4152 y(bi)33 b(vrijedilo)g(da)g(je)71 4391 y(\(29\))1090
4324 y(1)p 1090 4368 49 4 v 1090 4460 a(4)1159 4241 y
FE(p)p 1242 4241 V 83 x FH(2)p 1159 4368 132 4 v 1200
4460 a(2)1300 4281 y Fu(\020)1360 4391 y FB(\016)1433
4400 y Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1413 4421
231 4 v 1413 4468 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p Fq(j)1679 4391 y FH(+)22 b FB(\016)1830 4400
y Fq(\000)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1830
4421 243 4 v 1836 4468 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0\))p Fq(j)2087 4281 y Fu(\021)2169 4391 y
Fr(\002)g FB(\025)28 b FH(=)f FB(\030)2499 4406 y FC(1)2542
4391 y FB(\027)34 b FH(=)27 b FB(\030)2770 4406 y FC(2)2812
4391 y FB(\027)q(:)71 4614 y FH(Iz)33 b(prv)m(e)h(jednak)m(osti)g(u)e
(gornjem)h(izrazu)g(slijedi)h(da)e(je)361 4854 y FB(\027)6
b FH(\()p FB(\034)g(;)17 b(\030)588 4869 y FC(1)630 4854
y FB(;)g(\030)717 4869 y FC(2)759 4854 y FH(\))28 b(=)f
FB(\016)971 4869 y FC(0)1014 4854 y FH(\()p FB(\030)1095
4869 y FC(1)1137 4854 y FH(\))6 b(~)-55 b FB(\027)7 b
FH(\()p FB(\034)f(;)17 b(\030)1403 4869 y FC(2)1445 4854
y FH(\))22 b(+)1631 4786 y(1)p 1613 4831 86 4 v 1613
4922 a FB(\030)1656 4937 y FC(1)1718 4786 y FH(1)p 1718
4831 49 4 v 1718 4922 a(4)1786 4704 y FE(p)p 1869 4704
V 82 x FH(2)p 1786 4831 132 4 v 1828 4922 a(2)1928 4743
y Fu(\020)1988 4854 y FB(\016)2061 4863 y Fv(\(1)p Fs(;)p
Fv(1)p Fs(;)p Fv(0\))p 2041 4884 231 4 v 2041 4931 a
Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2307
4854 y FH(+)g FB(\016)2458 4863 y Fq(\000)p Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 2458 4884 243 4 v 2464
4931 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p
Fq(j)2715 4743 y Fu(\021)2758 4854 y FH(\()p FB(\034)6
b(;)17 b(\030)2931 4869 y FC(1)2973 4854 y FB(;)g(\030)3060
4869 y FC(2)3102 4854 y FH(\))g FB(\025)p FH(\()p FB(t;)g(x)3386
4813 y FC(1)3428 4854 y FB(;)g(x)3527 4813 y FC(2)3569
4854 y FH(\))825 5110 y(=)27 b FB(\016)971 5125 y FC(0)1014
5110 y FH(\()p FB(\030)1095 5125 y FC(1)1137 5110 y FH(\))6
b(~)-55 b FB(\027)7 b FH(\()p FB(\034)f(;)17 b(\030)1403
5125 y FC(2)1445 5110 y FH(\))22 b(+)1613 5043 y(1)p
1613 5087 49 4 v 1613 5178 a(4)1671 4999 y Fu(\020)1731
5110 y FB(\016)1804 5119 y Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p 1784 5140 231 4 v 1784 5187 a Fq(j)p Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2050 5110 y FH(+)g
FB(\016)2201 5119 y Fq(\000)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0\))p 2201 5140 243 4 v 2207 5187 a Fq(j)p
Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2458 4999
y Fu(\021)2501 5110 y FH(\()p FB(\034)6 b(;)17 b(\030)2674
5125 y FC(1)2716 5110 y FB(;)g(\030)2803 5125 y FC(2)2845
5110 y FH(\))g FB(\025)p FH(\()p FB(t;)g(x)3129 5069
y FC(1)3171 5110 y FB(;)g(x)3270 5069 y FC(2)3313 5110
y FH(\))p FB(:)71 5333 y FH(Med)p 223 5281 30 2 v 1 w(utim,)33
b(tada)g(je)514 5573 y FB(\030)557 5588 y FC(2)599 5573
y FB(\027)h FH(=)28 b FB(\030)828 5588 y FC(2)870 5573
y FB(\016)913 5588 y FC(0)956 5573 y FH(\()p FB(\030)1037
5588 y FC(1)1079 5573 y FH(\))6 b(~)-55 b FB(\027)6 b
FH(\()p FB(\034)g(;)17 b(\030)1344 5588 y FC(2)1386 5573
y FH(\))28 b FE(6)p FH(=)1565 5505 y(1)p 1565 5550 49
4 v 1565 5641 a(4)1634 5423 y FE(p)p 1717 5423 V 82 x
FH(2)p 1634 5550 132 4 v 1675 5641 a(2)1775 5462 y Fu(\020)1835
5573 y FB(\016)1908 5582 y Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p 1888 5603 231 4 v 1888 5650 a Fq(j)p Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2154 5573 y FH(+)22
b FB(\016)2305 5582 y Fq(\000)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0\))p 2306 5603 243 4 v 2312 5650 a Fq(j)p
Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)2562 5462
y Fu(\021)2605 5573 y FH(\()p FB(\034)6 b(;)17 b(\030)2778
5588 y FC(1)2820 5573 y FB(;)g(\030)2907 5588 y FC(2)2949
5573 y FH(\))g FB(\025)p FH(\()p FB(t;)g(x)3233 5532
y FC(1)3275 5573 y FB(;)g(x)3374 5532 y FC(2)3417 5573
y FH(\))66 5801 y(\024)-44 b(sto)33 b(je)f(u)h(suprotnosti)g(s)g
(\(29\).)p 3868 5844 30 43 v 3770 6010 a Fz(27)p eop
end
%%Page: 28 34
TeXDict begin 28 33 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)57 83 y FH(Gornji)46
b(primjer)h(se)h(mo)m(\024)-46 b(ze)47 b(priop)m(\023)-46
b(citi)47 b(i)g(na)g(proizv)m(oljni)h FB(d)j FE(2)h FI(N)p
FH(.)86 b(Uk)m(olik)m(o)48 b(de\014niramo)g(niz)-165
202 y(funk)m(cija)33 b FL(f)233 217 y FF(n)316 202 y
FH(tak)m(o)g(da)f(je)180 424 y FB(f)239 383 y FC(1)228
449 y FF(n)281 424 y FH(\()p FB(t;)17 b(x)453 383 y FC(1)496
424 y FB(;)g(:)g(:)g(:)f(;)h(x)770 383 y FF(d)814 424
y FH(\))27 b(=)h FB(f)1042 383 y FC(2)1031 449 y FF(n)1084
424 y FH(\()p FB(t;)17 b(x)1256 383 y FC(1)1299 424 y
FB(;)g(:)g(:)g(:)f(;)h(x)1573 383 y FF(d)1617 424 y FH(\))27
b(=)h FB(:)17 b(:)g(:)27 b FH(=)h FB(f)2091 383 y FF(d)2080
449 y(n)2134 424 y FH(\()p FB(t;)17 b(x)2306 383 y FC(1)2349
424 y FB(;)g(:)g(:)g(:)f(;)h(x)2623 383 y FF(d)2667 424
y FH(\))28 b(=)f FB(v)t FH(\()p FB(n)17 b(t;)g(n)g(x)3209
383 y FC(1)3251 424 y FH(\))p FB(;)-165 646 y FH(pri)24
b(\024)-46 b(cem)m(u)29 b(je)e FB(v)t FH(\()p FB(t;)17
b(x)p FH(\))28 b(=)g(sin\(2)p FB(\031)t FH(\()p FB(t)11
b FH(+)g FB(x)p FH(\)\))28 b(ili)g FB(v)t FH(\()p FB(t;)17
b FI(x)p FH(\))27 b(=)h(cos)q(\(2)p FB(\031)t FH(\()p
FB(t)11 b FH(+)g FB(x)p FH(\)\))28 b(\(o)m(\024)-46 b(cekujemo)28
b(da)g(bi)f(tvrdnje)h(vri-)-165 765 y(jedile)f(i)f(za)g(proizv)m(oljn)m
(u)i(funk)m(ciju)f FB(v)32 b FE(2)c FH(L)1356 729 y FC(2)1398
765 y FH(\([0)p FB(;)17 b FH(1])1632 729 y FC(2)1674
765 y FH(\),)27 b(pro)-5 b(\024)-44 b(siren)m(u)28 b(p)s(o)e(p)s(erio)s
(di)m(\024)-46 b(cnosti)27 b(na)f FI(R)3105 729 y FC(2)3147
765 y FH(,)h(med)p 3345 713 30 2 v 2 w(utim)f(u)-165
884 y(tom)c(slu)m(\024)-46 b(ca)5 b(ju)24 b(ne)f(znamo)g(eksplicitan)h
(izraz)f(za)g(rje)-5 b(\024)-44 b(senje)23 b FB(u)1979
899 y FF(n)2029 884 y FH(,)i(pa)d(ni)h(za)f(pripadn)m(u)i(H-mjeru)e
(pridru)m(\024)-46 b(zen)m(u)-165 1002 y(nizu)33 b(funk)m(cija)h
FE(r)p FB(u)554 1017 y FF(n)604 1002 y FH(\).)43 b(Pripadna)33
b(H-mjera)f(je)1204 1409 y FA(\026)1275 1427 y FF(f)1352
1409 y FH(=)1456 1149 y Fu(0)1456 1325 y(B)1456 1385
y(B)1456 1448 y(@)1559 1214 y FB(\026)98 b(\026)f FE(\001)17
b(\001)g(\001)96 b FB(\026)1559 1333 y(\026)i(\026)f
FE(\001)17 b(\001)g(\001)96 b FB(\026)1575 1420 y FH(.)1575
1453 y(.)1575 1486 y(.)1731 1420 y(.)1731 1453 y(.)1731
1486 y(.)1878 1428 y(.)1916 1453 y(.)1955 1478 y(.)2101
1420 y(.)2101 1453 y(.)2101 1486 y(.)1559 1605 y FB(\026)i(\026)f
FE(\001)17 b(\001)g(\001)96 b FB(\026)2161 1149 y Fu(1)2161
1325 y(C)2161 1385 y(C)2161 1448 y(A)2265 1409 y FB(;)-165
1816 y FH(pri)30 b(\024)-46 b(cem)m(u)33 b(je)g FB(\026)f
FH(H-mjera)h(pridru)m(\024)-46 b(zena)33 b(nizu)h(funk)m(cija)f
FB(v)t FH(\()p FB(nt;)17 b(nx)p FH(\):)685 2085 y FB(\026)28
b FH(=)885 2017 y(1)p 885 2062 49 4 v 885 2153 a(4)944
1974 y Fu(\020)1004 2085 y FB(\016)1067 2094 y Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0)p Fs(;:::)n(;)p Fv(0\))p 1057
2115 343 4 v 1057 2162 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0)p Fs(:::)n(;)p Fv(0\))p Fq(j)1435 2085 y
FH(+)22 b FB(\016)1586 2094 y Fq(\000)p Fv(\(1)p Fs(;)p
Fv(1)p Fs(;)p Fv(0)p Fs(:::)o(;)p Fv(0\))p 1586 2115
355 4 v 1592 2162 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0)p Fs(:::)o(;)p Fv(0\))p Fq(j)1955 1974 y Fu(\021)2014
2085 y FB(\025)p FH(\()p FB(t;)17 b(x)2243 2044 y FC(1)2286
2085 y FB(;)g(x)2385 2044 y FC(2)2428 2085 y FB(;)g(:)g(:)g(:)e(;)i(x)
2701 2044 y FF(d)2746 2085 y FH(\))p FB(:)-165 2357 y
FH(Nadalje,)32 b(k)-5 b(ak)m(o)33 b(je)g FB(@)601 2372
y FF(i)632 2357 y FB(u)688 2372 y FF(n)766 2357 y FH(=)27
b(0)p FB(;)17 b(i)28 b(>)f FH(2,)32 b(to)h(slijedi)g(da)g(je)-165
2752 y(\(30\))497 b FA(\026)27 b FH(=)708 2492 y Fu(0)708
2668 y(B)708 2728 y(B)708 2791 y(@)812 2567 y FB(\026)97
b FH(0)g FE(\001)17 b(\001)g(\001)96 b FH(0)817 2685
y(0)102 b(0)97 b FE(\001)17 b(\001)g(\001)96 b FH(0)828
2753 y(.)828 2786 y(.)828 2820 y(.)979 2753 y(.)979 2786
y(.)979 2820 y(.)1121 2761 y(.)1159 2786 y(.)1197 2812
y(.)1339 2753 y(.)1339 2786 y(.)1339 2820 y(.)817 2938
y(0)102 b(0)97 b FE(\001)17 b(\001)g(\001)96 b FH(0)1393
2492 y Fu(1)1393 2668 y(C)1393 2728 y(C)1393 2791 y(A)1497
2752 y FB(;)114 b FA(\026)1709 2767 y FC(12)1818 2752
y FH(=)1921 2492 y Fu(0)1921 2668 y(B)1921 2728 y(B)1921
2791 y(@)2025 2567 y FE(\000)p FB(\026)98 b FE(\000)p
FB(\026)f FE(\001)17 b(\001)g(\001)96 b(\000)p FB(\026)2069
2685 y FH(0)184 b(0)141 b FE(\001)17 b(\001)g(\001)140
b FH(0)2079 2753 y(.)2079 2786 y(.)2079 2820 y(.)2313
2753 y(.)2313 2786 y(.)2313 2820 y(.)2499 2761 y(.)2537
2786 y(.)2575 2812 y(.)2761 2753 y(.)2761 2786 y(.)2761
2820 y(.)2069 2938 y(0)184 b(0)141 b FE(\001)17 b(\001)g(\001)140
b FH(0)2859 2492 y Fu(1)2859 2668 y(C)2859 2728 y(C)2859
2791 y(A)2963 2752 y FB(:)-165 3147 y FH(Stoga)32 b(je)162
3634 y(\()p FA(\026)22 b FH(+)g FA(\026)462 3649 y FC(12)542
3634 y FH(\))p FA(\030)31 b FH(=)765 3374 y Fu(0)765
3550 y(B)765 3609 y(B)765 3673 y(@)869 3454 y FE(\000)963
3343 y Fu(\020)1023 3379 y(P)1128 3405 y FF(d)1128 3483
y(i)p FC(=2)1273 3454 y FB(\030)1316 3469 y FF(i)1346
3343 y Fu(\021)1439 3454 y FB(\026)1159 3591 y FH(0)1170
3659 y(.)1170 3692 y(.)1170 3725 y(.)1159 3844 y(0)1514
3374 y Fu(1)1514 3550 y(C)1514 3609 y(C)1514 3673 y(A)1629
3634 y FH(=)c FL(0)h FH(=)1912 3285 y Fu(0)1912 3460
y(B)1912 3520 y(B)1912 3579 y(B)1912 3639 y(B)1912 3699
y(B)1912 3763 y(@)2016 3271 y(\020)2076 3307 y(P)2181
3333 y FF(d)2181 3411 y(i)p FC(=2)2326 3382 y FB(\030)2369
3397 y FF(i)2399 3271 y Fu(\021)2492 3382 y FB(\026)2016
3459 y Fu(\020)2076 3495 y(P)2181 3521 y FF(d)2181 3598
y(i)p FC(=2)2326 3569 y FB(\030)2369 3584 y FF(i)2399
3459 y Fu(\021)2492 3569 y FB(\026)2270 3702 y FH(.)2270
3735 y(.)2270 3768 y(.)2016 3776 y Fu(\020)2076 3812
y(P)2181 3838 y FF(d)2181 3916 y(i)p FC(=2)2326 3887
y FB(\030)2369 3902 y FF(i)2399 3776 y Fu(\021)2492 3887
y FB(\026)2567 3285 y Fu(1)2567 3460 y(C)2567 3520 y(C)2567
3579 y(C)2567 3639 y(C)2567 3699 y(C)2567 3763 y(A)2682
3634 y FH(=)f(\()p FA(\026)2894 3649 y FC(21)2997 3634
y FH(+)22 b FA(\026)3166 3652 y FF(f)3215 3634 y FH(\))p
FA(\030)s FB(;)-171 4127 y FH(\024)-44 b(sto)33 b(jo)-5
b(\024)-44 b(s)33 b(jednom)g(p)s(otvrd)p 739 4076 30
2 v 1 w(uje)g(relacije)g(\(19\))f(i)g(\(20\).)57 4247
y(Drugo)f(mogu)m(\023)-46 b(ce)34 b(priop)m(\023)-46
b(cenje)33 b(je)g(slu)m(\024)-46 b(ca)5 b(j)34 b(k)-5
b(ad)32 b(je)1139 4470 y FB(f)1198 4429 y FC(1)1187 4494
y FF(n)1268 4470 y FH(=)c FB(v)t FH(\()p FB(nt;)17 b(nx)p
FH(\))p FB(;)g(f)1852 4429 y FF(i)1841 4494 y(n)1919
4470 y FH(=)27 b(0)p FB(;)17 b(i)28 b Fr(>)g FH(2)p FB(;)-165
4692 y FH(pri)i(\024)-46 b(cem)m(u)33 b(je)g FB(v)j FH(k)-5
b(ao)32 b(gore.)44 b(U)32 b(tom)h(slu)m(\024)-46 b(ca)5
b(ju)34 b(je)e FA(\026)1669 4710 y FF(f)1746 4692 y FH(=)c
FA(\026)f FH(=)g FE(\000)p FA(\026)2199 4707 y FC(12)2280
4692 y FH(,)33 b(dok)g(je)g FA(\026)f FH(oblik)-5 b(a)32
b(k)-5 b(ao)32 b(u)h(\(30\).)-165 4864 y FI(Primjer)k(4.)143
b FH(De\014nira)5 b(jmo)33 b(niz)g(funk)m(cija)h FL(f)1574
4879 y FF(n)1651 4864 y FE(2)29 b FH(L)1807 4828 y FC(2)1807
4896 y(lo)r(c)1907 4864 y FH(\()p FI(R)2029 4828 y FC(1+2)2169
4864 y FH(\))1076 5097 y FB(f)1135 5056 y FC(1)1124 5122
y FF(n)1177 5097 y FH(\()p FB(t;)17 b(x)1349 5056 y FC(1)1392
5097 y FB(;)g(x)1491 5056 y FC(2)1533 5097 y FH(\))28
b(=)g(sin\(2)p FB(\031)t(n)p FH(\()p FB(t)22 b FH(+)g
FB(x)2274 5056 y FC(1)2317 5097 y FH(\)\))1076 5241 y
FB(f)1135 5200 y FC(2)1124 5266 y FF(n)1177 5241 y FH(\()p
FB(t;)17 b(x)1349 5200 y FC(1)1392 5241 y FB(;)g(x)1491
5200 y FC(2)1533 5241 y FH(\))28 b(=)g(sin\(2)p FB(\031)t(n)p
FH(\()p FB(t)22 b FH(+)g FB(x)2274 5200 y FC(2)2317 5241
y FH(\)\))p FB(:)-165 5451 y FH(Rje)-5 b(\024)-44 b(senje)33
b(p)s(o)m(\024)-46 b(cetne)34 b(zada)m(\023)-46 b(ce)33
b(za)g(jednad)m(\024)-46 b(zbu)33 b(pro)m(v)m(od)p 1744
5399 V 2 w(enja)264 5598 y Fu(\032)356 5672 y FB(@)407
5687 y FF(t)439 5672 y FB(u)495 5687 y FF(n)567 5672
y FE(\000)23 b FH(\001)p FB(u)804 5687 y FF(n)882 5672
y FH(=)k FL(div)18 b(f)1151 5687 y FF(n)1228 5672 y FH(=)28
b(\(2)p FB(\031)t(n)p FH(\))1591 5591 y Fu(\000)1636
5672 y FH(cos)q(\(2)p FB(\031)t(n)p FH(\()p FB(t)22 b
FH(+)g FB(x)2219 5630 y FC(1)2262 5672 y FH(\)\))g(+)g(cos\(2)p
FB(\031)t(n)p FH(\()p FB(t)h FH(+)f FB(x)3041 5630 y
FC(2)3084 5672 y FH(\)\))3160 5591 y Fu(\001)623 5815
y FB(u)679 5830 y FF(n)729 5815 y FH(\(0\))28 b(=)f(0)p
FB(;)-165 6010 y Fz(28)p eop end
%%Page: 29 35
TeXDict begin 29 34 bop 2420 -116 a Fx(Primjena)27 b(H-mjera)g(na)g
(parab)r(oli)n(\024)-39 b(ck)n(e)25 b(zada)n(\023)-39
b(ce)71 83 y FH(u)33 b(tom)f(je)h(slu)m(\024)-46 b(ca)5
b(ju)34 b(dano)e(form)m(ulom)138 295 y FB(u)194 310 y
FF(n)244 295 y FH(\()p FB(t;)17 b(x)416 254 y FC(1)459
295 y FB(;)g(x)558 254 y FC(2)601 295 y FH(\))28 b(=)982
228 y(1)p 780 273 454 4 v 780 364 a(\(2)p FB(\031)t(n)p
FH(\))1022 335 y FC(2)1087 364 y FH(+)22 b(1)1243 185
y Fu(\020)1303 295 y FH(2)p FB(\031)t(n)17 b FH(cos\(2)p
FB(\031)t(n)p FH(\()p FB(t)22 b FH(+)g FB(x)2068 254
y FC(1)2111 295 y FH(\)\))g(+)g(sin)q(\(2)p FB(\031)t(n)p
FH(\()p FB(t)g FH(+)g FB(x)2879 254 y FC(1)2922 295 y
FH(\)\))661 536 y FE(\000)h FB(e)806 495 y FD(\000)p
FC(\(2)p FF(\031)s(n)p FC(\))1057 464 y Fv(2)1094 495
y FF(t)1126 426 y Fu(\020)1185 536 y FH(2)p FB(\031)t(n)17
b FH(cos\(2)p FB(\031)t(nx)1757 495 y FC(1)1800 536 y
FH(\))22 b(+)g(sin)q(\(2)p FB(\031)t(nx)2337 495 y FC(1)2380
536 y FH(\))g(+)g(2)p FB(\031)t(n)17 b FH(cos\(2)p FB(\031)t(nx)3110
495 y FC(2)3153 536 y FH(\))22 b(+)g(sin)q(\(2)p FB(\031)t(nx)3690
495 y FC(2)3733 536 y FH(\))3771 426 y Fu(\021)661 755
y FH(+)g(2)p FB(\031)t(n)17 b FH(cos\(2)p FB(\031)t(n)p
FH(\()p FB(x)1369 714 y FC(2)1434 755 y FH(+)22 b FB(t)p
FH(\)\))g(+)g(sin)q(\(2)p FB(\031)t(n)p FH(\()p FB(x)2180
714 y FC(2)2245 755 y FH(+)g FB(t)p FH(\)\))2454 644
y Fu(\021)2514 755 y FB(:)71 950 y FH(Budu)m(\023)-46
b(ci)33 b(da)g(je)1072 1109 y FB(f)1131 1068 y FC(1)1120
1134 y FF(n)1174 1109 y FH(\()p FB(t;)17 b(x)1346 1068
y FC(1)1389 1109 y FB(;)g(x)1488 1068 y FC(2)1530 1109
y FH(\))28 b(=)1726 1042 y(1)p 1709 1087 83 4 v 1709
1178 a(2)p FB(i)1801 1109 y FH(\()p FB(e)1884 1068 y
FC(2)p FF(\031)s(in)p FC(\()p FF(t)p FC(+)p FF(x)2203
1037 y Fv(1)2240 1068 y FC(\))2296 1109 y FE(\000)23
b FB(e)2441 1068 y FC(2)p FF(\031)s(in)p FC(\()p FF(t)p
FC(+)p FF(x)2760 1037 y Fv(1)2797 1068 y FC(\))2831 1109
y FH(\))1072 1343 y FB(f)1131 1302 y FC(2)1120 1367 y
FF(n)1174 1343 y FH(\()p FB(t;)17 b(x)1346 1302 y FC(1)1389
1343 y FB(;)g(x)1488 1302 y FC(2)1530 1343 y FH(\))28
b(=)1726 1275 y(1)p 1709 1320 V 1709 1411 a(2)p FB(i)1801
1343 y FH(\()p FB(e)1884 1302 y FC(2)p FF(\031)s(in)p
FC(\()p FF(t)p FC(+)p FF(x)2203 1270 y Fv(2)2240 1302
y FC(\))2296 1343 y FE(\000)23 b FB(e)2441 1302 y FC(2)p
FF(\031)s(in)p FC(\()p FF(t)p FC(+)p FF(x)2760 1270 y
Fv(2)2797 1302 y FC(\))2831 1343 y FH(\))p FB(;)71 1523
y FH(to)32 b(je)601 1785 y FA(\026)672 1802 y FF(f)749
1785 y FH(=)852 1555 y Fu(0)852 1730 y(B)852 1794 y(@)966
1625 y FC(1)p 966 1641 39 4 v 966 1699 a(4)1014 1554
y Fu(\020)1074 1664 y FB(\016)1147 1673 y Fv(\(1)p Fs(;)p
Fv(1)p Fs(;)p Fv(0\))p 1127 1694 231 4 v 1127 1741 a
Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p Fq(j)1393
1664 y FH(+)22 b FB(\016)1544 1673 y Fq(\000)p Fv(\(1)p
Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1544 1694 243 4 v 1550
1741 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p
Fq(j)1801 1554 y Fu(\021)1883 1664 y Fr(\002)g FB(\025)615
b FH(0)1473 1878 y(0)2147 1839 y FC(1)p 2147 1856 39
4 v 2147 1913 a(4)2195 1768 y Fu(\020)2255 1878 y FB(\016)2328
1887 y Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p Fv(1\))p 2308 1909
231 4 v 2308 1955 a Fq(j)p Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p
Fv(1\))p Fq(j)2574 1878 y FH(+)22 b FB(\016)2725 1887
y Fq(\000)p Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p Fv(1\))p 2725
1909 243 4 v 2731 1955 a Fq(j)p Fv(\(1)p Fs(;)p Fv(0)p
Fs(;)p Fv(1\))p Fq(j)2982 1768 y Fu(\021)3064 1878 y
Fr(\002)g FB(\025)3237 1555 y Fu(1)3237 1730 y(C)3237
1794 y(A)3340 1785 y FB(:)71 2084 y FH(Lak)m(o)33 b(se)g(pro)m(vjeri)g
(i)g(da)g(je)f FA(\026)27 b FH(=)h FA(\026)1359 2101
y FF(f)1436 2084 y FH(=)f FE(\000)p FA(\026)1687 2099
y FC(21)1768 2084 y FH(.)44 b(T)-8 b(ak)m(od)p 2067 2032
30 2 v 1 w(er)33 b(je)942 2412 y FA(\026)1013 2429 y
FF(f)1062 2412 y FA(\030)d FH(=)1257 2344 y(1)p 1257
2389 49 4 v 1257 2480 a(4)1332 2181 y Fu(0)1332 2357
y(B)1332 2421 y(@)1436 2181 y(\020)1495 2291 y FB(\016)1568
2300 y Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1548 2321
231 4 v 1548 2368 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p Fq(j)1815 2291 y FH(+)22 b FB(\016)1966 2300
y Fq(\000)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1966
2321 243 4 v 1972 2368 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0\))p Fq(j)2222 2181 y Fu(\021)2282 2291 y
FB(\030)2325 2306 y FC(1)1436 2395 y Fu(\020)1495 2505
y FB(\016)1568 2514 y Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p Fv(1\))p
1548 2536 231 4 v 1548 2582 a Fq(j)p Fv(\(1)p Fs(;)p
Fv(0)p Fs(;)p Fv(1\))p Fq(j)1815 2505 y FH(+)g FB(\016)1966
2514 y Fq(\000)p Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p Fv(1\))p
1966 2536 243 4 v 1972 2582 a Fq(j)p Fv(\(1)p Fs(;)p
Fv(0)p Fs(;)p Fv(1\))p Fq(j)2222 2395 y Fu(\021)2282
2505 y FB(\030)2325 2520 y FC(2)2384 2181 y Fu(1)2384
2357 y(C)2384 2421 y(A)2493 2412 y Fr(\002)h FB(\025)1143
2816 y FH(=)1257 2749 y(1)p 1257 2793 49 4 v 1257 2884
a(4)1325 2666 y FE(p)p 1408 2666 V 83 x FH(2)p 1325 2793
132 4 v 1367 2884 a(2)1484 2646 y Fu( )1579 2704 y FB(\016)1652
2713 y Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 1632 2734
231 4 v 1632 2781 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p
Fv(0\))p Fq(j)1899 2704 y FE(\000)f FB(\016)2051 2713
y Fq(\000)p Fv(\(1)p Fs(;)p Fv(1)p Fs(;)p Fv(0\))p 2051
2734 243 4 v 2057 2781 a Fq(j)p Fv(\(1)p Fs(;)p Fv(1)p
Fs(;)p Fv(0\))p Fq(j)1579 2873 y FB(\016)1652 2882 y
Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p Fv(1\))p 1632 2903 231
4 v 1632 2950 a Fq(j)p Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p
Fv(1\))p Fq(j)1899 2873 y FE(\000)g FB(\016)2051 2882
y Fq(\000)p Fv(\(1)p Fs(;)p Fv(0)p Fs(;)p Fv(1\))p 2051
2903 243 4 v 2057 2950 a Fq(j)p Fv(\(1)p Fs(;)p Fv(0)p
Fs(;)p Fv(1\))p Fq(j)2325 2646 y Fu(!)2426 2816 y Fr(\002)g
FB(\025)28 b FH(=)f(\()p FL(tr)r FA(\026)p FH(\))17 b
FA(\030)s FB(;)71 3084 y FH(o)s(dnosno)32 b(u)h(o)m(v)m(om)h(slu)m
(\024)-46 b(ca)5 b(ju)33 b(je)g FL(tr)r FA(\026)f FH(sv)m(o)5
b(jstv)m(ena)35 b(vrijednost)f(za)f(mjeru)g FA(\026)2816
3102 y FF(f)2865 3084 y FH(.)p 3868 3246 30 43 v 293
3361 a(I)g(o)m(v)-5 b(a)5 b(j)32 b(primjer)h(se)h(lak)m(o)f(p)s(o)s(op)
m(\023)-46 b(cuje)32 b(na)h(slu)m(\024)-46 b(ca)5 b(j)33
b(proizv)m(oljnog)h FB(d)27 b FE(2)h FI(N)p FH(.)577
3668 y Fy(4.)61 b(Ocjene)45 b(na)g(rje)-7 b(\024)-60
b(senje)46 b(Sc)l(hr\177)-67 b(odingero)l(v)l(e)46 b(jednad)l(\024)-64
b(zb)t(e)293 3861 y FH(U)41 b(cilju)h(primjene)g(H-mjera,)i(trebamo)d
(precizne)i(rezultate)f(za)f(p)s(osto)5 b(janje)42 b(i)f(jedinstv)m
(enost)71 3980 y(rje)-5 b(\024)-44 b(senja)33 b(Sc)m(hr\177)-49
b(odingeo)m(v)m(e)35 b(jednad)m(\024)-46 b(zb)s(e)71
4209 y(\(31\))1433 4069 y Fu(\032)1524 4136 y FB(@)1575
4151 y FF(t)1608 4136 y FB(u)21 b FE(\000)i FB(i)p FL(div)17
b FH(\()p FI(A)p FE(r)p FB(u)p FH(\))27 b(=)h FB(f)2072
4279 y(u)p FH(\(0\))f(=)h FB(u)2440 4294 y FC(0)2482
4279 y FB(:)71 4439 y FH(u)33 b(o)s(dgo)m(v)-5 b(ara)5
b(ju)m(\023)-46 b(cem)33 b(prostoru,)f(k)-5 b(ao)33 b(i)f(pripadne)i(o)
s(cjene)f(na)f(rje)-5 b(\024)-44 b(senje.)293 4558 y(Zada)m(\023)e(cu)
31 b(\023)-46 b(cemo)34 b(p)s(osta)m(viti)g(u)f(apstraktnom)i(obliku,)f
(s)g(ciljem)h(primjene)f(v)-5 b(arijacijskih)35 b(meto)s(da)71
4676 y(predsta)m(vljenih)c(u)e([DL,)g(Ch.)g(XVI)s(I)s(I,)h
FE(x)p FH(7].)42 b(Pretp)s(osta)m(vit)28 b(\023)-46 b(cemo)29
b(da)g(su)g FB(V)5 b(;)17 b(H)37 b FH(k)m(ompleksni)32
b(Hilb)s(erto)m(vi)71 4795 y(prostori,)h(takvi)g(da)f(je)1670
4936 y FB(V)1812 4865 y FF(g)1776 4936 y FB(,)-17 b FE(!)28
b FB(H)2066 4865 y FF(g)2030 4936 y FB(,)-17 b FE(!)28
b FB(V)2246 4895 y FD(0)2271 4936 y FB(;)71 5092 y FH(o)s(dnosno,)33
b(da)f(prostori)h FB(V)5 b(;)17 b(H)r(;)g(V)1291 5056
y FD(0)1346 5092 y FH(\024)-46 b(cine)33 b(Geljfando)m(vu)g(tro)5
b(jku.)293 5211 y(Nadalje,)49 b(nek)-5 b(a)45 b(je)h(za)f
FB(T)63 b FE(2)50 b FI(R)1507 5174 y FC(+)1616 5211 y
FH(s)c FB(a)p FH(\()p FB(t)p FH(;)17 b FE(\001)p FB(;)g
FE(\001)p FH(\),)48 b FB(t)h FE(2)h FH([0)p FB(;)17 b(T)d
FH(],)48 b(ozna)m(\024)-46 b(cena)46 b(familija)f(neprekidnih,)71
5329 y(seskvilinearnih)36 b(formi)c(na)h FB(V)43 b FE(\002)23
b FB(V)54 b FH(sa)33 b(sv)m(o)5 b(jstv)m(om)35 b(da)d(p)s(osto)5
b(ji)33 b FB(\013)28 b FE(2)g FI(R)2740 5293 y FC(+)2804
5329 y FH(,)33 b(te)f FB(\025)c FE(2)g FI(R)k FH(takvi)h(da)g(je)71
5652 y(\(32\))905 5418 y Fu(8)905 5508 y(>)905 5538 y(<)905
5717 y(>)905 5747 y(:)1011 5499 y FB(a)p FH(\()p FE(\001)p
FH(;)17 b FB(u;)g(v)t FH(\))26 b FE(2)i FH(C)1551 5458
y FC(1)1594 5499 y FH(\([0)p FB(;)17 b(T)d FH(]\))o FB(;)114
b(u;)17 b(v)31 b FE(2)d FB(V)1011 5656 y(a)p FH(\()p
FB(t)p FH(;)17 b FB(u;)g(v)t FH(\))26 b(=)p 1498 5570
356 4 v 28 w FB(a)p FH(\()p FB(t)p FH(;)17 b FB(v)t(;)g(u)p
FH(\))o FB(;)114 b(t)28 b FE(2)g FH([0)p FB(;)17 b(T)d
FH(])p FB(;)33 b(u;)17 b(v)30 b FE(2)e FB(V)1011 5815
y(a)p FH(\()p FB(t)p FH(;)17 b FB(u;)g(u)p FH(\))k(+)h
FB(\025)p FE(k)p FB(u)p FE(k)1704 5767 y FC(2)1704 5844
y FF(H)1805 5815 y Fr(>)28 b FB(\013)q FE(k)p FB(u)p
FE(k)2128 5767 y FC(2)2128 5844 y FF(V)2194 5815 y FB(;)114
b(t)28 b FE(2)g FH([0)p FB(;)17 b(T)d FH(])p FB(;)33
b(u)27 b FE(2)h FB(V)5 b(:)3770 6010 y Fz(29)p eop end
%%Page: 30 36
TeXDict begin 30 35 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-165 83 y FH(Primijetimo)34
b(da)f(na)g(osno)m(vu)h(Banac)m(h-Steinhauso)m(v)m(og)h(teorema)e
(gornje)g(pretp)s(osta)m(vk)m(e)i(p)s(o)m(vla)m(\024)-46
b(ce)34 b(da)-165 202 y(p)s(osto)5 b(ji)32 b FB(M)39
b FE(2)28 b FI(R)471 166 y FC(+)567 202 y FH(tak)-5 b(a)m(v)33
b(da)f(je)736 401 y FE(j)p FB(a)p FH(\()p FB(t)p FH(;)17
b FB(u;)g(v)t FH(\))o FE(j)27 b Fr(6)h FB(M)10 b FE(k)p
FB(u)p FE(k)1540 430 y FF(V)1606 401 y FE(k)p FB(v)t
FE(k)1757 430 y FF(V)1823 401 y FB(;)114 b(t)28 b FE(2)g
FH([0)p FB(;)17 b(T)d FH(])p FB(;)33 b(u;)17 b(v)30 b
FE(2)e FB(V)5 b(:)-165 599 y FH(Uz)28 b(na)m(v)m(edene)j(pretp)s(osta)m
(vk)m(e,)h(forma)c FB(a)g FH(de\014nira)h(familiju)g(neprekidnih)i
(linearnih)e(op)s(eratora)e FB(A)p FH(\()p FB(t)p FH(\))h(:)-165
718 y FB(V)49 b FE(!)27 b FB(V)147 682 y FD(0)204 718
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%%Page: 31 37
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5844 30 43 v 3770 6010 a Fz(31)p eop end
%%Page: 32 38
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FI(A)c FH(=)f FB(a)p FI(I)p FH(.)49 b(Med)p 2168 4080
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1722 4911 V(uje)g(energiju)g(pridru)m(\024)-46 b(zen)m(u)37
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b(a.)42 b(Uv)m(od)p 3155 5267 V 2 w(enjem)27 b(no)m(v)m(e)-165
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5573 y Fu(\025)16 b(\024)2938 5654 y FB(u)2994 5669 y
FF(n)2943 5773 y FL(v)2988 5788 y FF(n)3060 5573 y Fu(\025)3140
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end
%%Page: 33 39
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b(ce)71 85 y FH(gdje)47 b FL(a)341 49 y FF(i)418 85 y
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271 V 1 w(utim,)25 b(lok)-5 b(alizacijsk)m(o)23 b(sv)m(o)5
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560 y(dobijemo)33 b(da)f(je)71 783 y(\(43\))1552 b FI(p)1870
782 y FH(~)1859 783 y FA(\026)27 b FH(=)h FI(0)g FB(;)71
1005 y FH(pri)i(\024)-46 b(cem)m(u)34 b(je)530 1323 y
FI(p)27 b FH(=)723 1182 y Fu(\024)792 1264 y FB(i\034)110
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b(\()p FI(A)p FA(\030)s FH(\))3263 1227 y FD(>)2603 1382
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b FH(je)g(oblik)-5 b(a)1660 1948 y(~)1649 1949 y FA(\026)27
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FB(u)2170 2203 y FF(n)2220 2188 y FH(.)44 b(Stoga)32
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2411 y(\(44\))1483 b FA(\026)1799 2370 y FD(>)1879 2411
y FI(A)17 b FA(\030)29 b FH(=)f FL(0)p FB(:)71 2633 y
FH(Primijetimo)d(da)f(gornja)f(relacija)h(ne)h(p)s(o)m(vla)m(\024)-46
b(ci)25 b(automatski)f(da)g(je)g FA(\026)k FH(=)f FI(0)d
FH(za)g FA(\030)31 b FE(6)p FH(=)c FL(0)p FH(.)41 b(Za)23
b(protuprimjer)71 2752 y(mo)m(\024)-46 b(zemo)33 b(uzeti)h
FI(A)27 b FH(=)h FI(I)p FH(,)k(te)h(hermitsku,)h(p)s(ozitivno)f
(semide\014nitn)m(u)j(matri)m(\024)-46 b(cn)m(u)33 b(funk)m(ciju)1379
3038 y FA(\026)27 b FH(=)h(sign)17 b(\()p FB(\030)1847
3053 y FC(2)1889 3038 y FH(\))1944 2897 y Fu(\022)2072
2958 y FB(\030)2115 2973 y FC(2)2293 2958 y FE(\000)p
FB(\030)2413 2973 y FC(1)2033 3104 y FE(\000)p FB(\030)2153
3119 y FC(1)2338 3055 y FF(\030)2375 3023 y Fv(2)2372
3073 y(1)p 2338 3081 75 4 v 2340 3138 a FF(\030)2374
3150 y Fv(2)2473 2897 y Fu(\023)2563 3038 y FB(:)293
3325 y FH(Med)p 445 3273 30 2 v 1 w(utim,)33 b(na)g(osno)m(vu)h(Sc)m(h)
m(w)m(arzo)m(v)m(og)h(teorema)e(za)g(parcijalne)g(deriv)-5
b(acije,)34 b(o)s(dnosno)e(Leme)i(4.)71 3443 y(znamo)f(da)f(je)h
FA(\026)f FH(oblik)-5 b(a)1431 3612 y FA(\026)27 b FH(=)1642
3544 y FA(\030)e FE(\012)e FA(\030)p 1642 3589 230 4
v 1709 3680 a(\030)1763 3651 y FC(2)1881 3612 y FL(tr)r
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b(ju)m(\023)-46 b(ci)34 b(zadnju)f(jednak)m(ost)h(u)f(\(44\))f
(dobijemo)h(da)f(je)71 4067 y(\(45\))1135 b(\()p FI(A)p
FA(\030)25 b FE(\001)c FA(\030)s FH(\)\()p FL(tr)r FA(\026)p
FH(\))p FA(\030)29 b FH(=)f FL(0)p FB(;)114 b FA(\030)30
b FE(6)p FH(=)e FL(0)17 b FB(;)71 4289 y FH(iz)37 b(\024)-46
b(cega)40 b(zb)s(og)f(uniformne)i(p)s(ozitivne)g(de\014nitnosti)g(funk)
m(cije)g FI(A)e FH(slijedi)i(da)f(je)g FL(tr)q FA(\026)g
FH(=)f(0)h(za)g FA(\030)i FE(6)p FH(=)e FL(0)p FH(,)71
4408 y(o)s(dnosno)29 b(mjera)h FA(\026)e FH(je)i(no)-5
b(\024)-44 b(sena)30 b(samo)g(u)f(p)s(olo)m(vima)h(\()p
FB(\034)39 b FH(=)27 b FE(\006)p FH(1\))j(jedini)m(\024)-46
b(cne)31 b(sfere)f(u)g(dualnom)f(prostoru,)66 4527 y(\024)-44
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(enom)j(za)d(jednad)m(\024)-46 b(zbu)34 b(pro)m(v)m(od)p
2576 4475 30 2 v 1 w(enja.)293 4647 y(Kao)h(\024)-44
b(sto)41 b(smo)g(v)m(e)m(\023)-46 b(c)42 b(sp)s(omen)m(uli,)j
(prijenosno)c(sv)m(o)5 b(jstv)m(o)43 b(za)e(mjeru)h FA(\026)e
FH(ne)h(mo)m(\024)-46 b(zemo)42 b(dobiti)f(k)m(o-)71
4766 y(ri)-5 b(\024)-44 b(stenjem)47 b(T)-8 b(eorema)46
b(I.3.)82 b(Stoga)45 b(moramo)g(dok)-5 b(azati)46 b(analogni)f(teorem)h
(primjenljiv)g(na)g(zada)m(\023)-46 b(ce)71 4884 y(\(42\).)71
5057 y FI(T)-9 b(eorem)38 b(3.)100 b Fw(H-mjera)32 b
FA(\026)h Fw(pridru)m(\024)-46 b(zena)34 b(\(p)s(o)s(d\)nizu)f
FH(\()p FE(r)p FB(u)2260 5072 y FF(n)2310 5057 y FH(\))p
Fw(,)g(pri)d(\024)-46 b(cem)m(u)34 b(je)f FB(u)2974 5072
y FF(n)3057 5057 y Fw(rje)-5 b(\024)-44 b(senje)34 b(zada)m(\023)-46
b(ce)33 b(\(42\))71 5176 y(zado)m(v)m(olja)m(v)-5 b(a)33
b(jednad)m(\024)-46 b(zbu)654 5422 y FH(2)17 b FL(div)f
FH(\()p FL(Re)h FA(\026)1086 5380 y FD(>)1150 5422 y
FI(A)p FH(\))k(+)1392 5311 y Fu(\020)1452 5422 y FH(\()p
FB(d)g FH(+)h(1\))p FA(\026)g FE(\001)g FH(\()p FA(\030)i
FE(\001)e(r)p FH(\))p FI(A)g FE(\000)2381 5327 y Fu(X)2541
5422 y FB(@)2597 5380 y FF(i)2592 5447 y(T)2652 5422
y FA(\026)g FE(\001)g FB(@)2846 5437 y FF(i)2877 5422
y FI(A)2962 5311 y Fu(\021)3037 5422 y FA(\030)31 b FH(=)c
FL(0)17 b FB(;)71 5684 y Fw(gdje)30 b(je)g FB(@)436 5648
y FF(i)431 5715 y(T)519 5684 y FH(:=)e FB(@)706 5648
y FF(i)754 5684 y FE(\000)18 b FB(\021)897 5699 y FF(i)927
5684 y FH(\()p FA(\021)j FE(\001)16 b(r)1173 5648 y Fp(\021)1227
5684 y FH(\))30 b Fw(tangencijalni)g(gradijen)m(t)h(na)f(jedini)m(\024)
-46 b(cn)m(u)32 b(sferu,)f(a)f FA(\021)h FH(=)c(\()p
FB(\034)6 b(;)34 b FA(\030)s FH(\))29 b Fw(v)m(ektor)71
5811 y(na)j FH(S)260 5775 y FF(d)304 5811 y Fw(.)3770
6010 y Fz(33)p eop end
%%Page: 34 40
TeXDict begin 34 39 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
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b FH(Djeluju)m(\023)-46 b(ci)41 b(sa)g(sk)-5 b(alarnim)42
b(pseudo)s(diferencijalnim)h(op)s(eratorom)e FB(P)55
b FE(2)43 b FH(\011)2973 52 y FC(0)2973 113 y FF(c)3015
88 y FH(\()p FI(R)3137 52 y FC(1+)p FF(d)3279 88 y FH(\))e(na)g(jed-)
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207 y FH(\),)g(te)f(dualno)h(ju)g(mno)m(\024)-46 b(ze)m(\023)g(ci)34
b(s)f FB(@)1498 222 y FF(m)1570 207 y FB(u)1626 222 y
FF(n)1676 207 y FB(;)17 b(m)28 b FE(2)g(f)p FH(1)p FB(;)17
b(:)g(:)g(:)e(;)i(d)p FE(g)32 b FH(u)h(L)2525 171 y FC(2)2567
207 y FH(\()p FI(R)2689 171 y FC(1+)p FF(d)2831 207 y
FH(\),)f(dobijemo)h(da)g(je)-165 411 y(\(46\))795 b FE(h)p
FB(iP)14 b(@)1004 426 y FF(t)1036 411 y FB(u)1092 426
y FF(n)1142 411 y FB(;)j(@)1237 426 y FF(m)1309 411 y
FB(u)1365 426 y FF(n)1415 411 y FE(i)k FH(+)i FE(h)p
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y FF(n)2135 411 y FH(\))p FB(;)h(@)2268 426 y FF(m)2340
411 y FB(u)2396 426 y FF(n)2446 411 y FE(i)28 b FH(=)f(0)p
FB(:)-165 615 y FH(P)m(arcijalnim)i(deriviranjem)h(s)f(obzirom)g(na)f
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b(clan)28 b(u)h(gornjo)5 b(j)-165 734 y(jednak)m(osti)34
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b FH(\))p FB(@)1001 953 y FF(t)1033 938 y FB(u)1089 953
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938 y FB(u)1935 953 y FF(n)1985 938 y FB(;)j(u)2085 953
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FB(;)j(i@)2767 953 y FF(t)2800 938 y FB(u)2856 953 y
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1353 y FE(\000h)p FI(A)408 1312 y FD(>)472 1353 y FE(r)p
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1368 y FF(m)2786 1353 y FB(u)2842 1368 y FF(n)2892 1353
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29 b(jednad)m(\024)-46 b(zb)s(e,)29 b(\(46\))d(p)s(osta)5
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b(clano)m(v)-5 b(a)50 b(u)h(\(46{48\))e(mo)m(\024)-46
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b(zba\),)54 b(k)-5 b(ao)48 b(i)h(u)g(zadnjo)5 b(j)49
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b(da)f FB(u)1752 3008 y FF(n)1829 2993 y FE(!)28 b FH(0)k(jak)m(o)h(u)f
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FI(R)2617 2956 y FC(1+)p FF(d)2758 2993 y FH(\),)h(dobijemo)g(da)f(je)
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5120 y FH(Nap)s(omenimo)35 b(da)f(smo)h(zadnju)f(relaciju)h(mogli)g
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5 b(ju)m(\023)-46 b(ci)47 b(u)e(obzir)g(da)g(je)-165
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FB(@)533 5372 y FF(t)598 5357 y FH(an)m(tihermitsk)-5
b(a.)45 b(Med)p 1401 5305 30 2 v 1 w(utim,)33 b(gornji)f(nep)s(osredni)
i(izv)m(o)s(d)g(je)f(jednosta)m(vniji.)57 5476 y(Uvr)-5
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6010 y Fz(34)p eop end
%%Page: 35 41
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(ciljem)h(eliminacije)g(test)71 202 y(funk)m(cije)34
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b FI(x)p FH(\),)32 b(prvi)f(\024)-46 b(clan)33 b(je)f(jednak)1573
413 y(2)p FE(h)p FL(div)16 b(Re)h FH(\()p 1956 332 85
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(v)-5 b(arijable)28 b(\()p FB(\034)6 b(;)17 b FA(\030)s
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y Fu(X)1760 2167 y FB(@)1816 2126 y FF(i)1848 2167 y
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%%Page: 36 42
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 @endspecial 723 1921 a Fo(Slik)-6 b(a)35 b(9.)47 b Fn(Prik)-5
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2754 y(\(2\))143 b FB(Au)p FH(\()p FB(t;)17 b FI(x)p
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%%Page: 43 49
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b(ck)n(e)24 b(H-mjere)k(i)f(primjene)293 83 y FH(Op)s(eratori)33
b FB(A)814 98 y FF(n)864 83 y FB(;)17 b(B)982 98 y FF(n)1066
83 y FH(pridru)m(\024)-46 b(zeni)35 b(funcijama)f FB(a)2035
98 y FF(n)2085 83 y FB(;)17 b(b)2170 98 y FF(n)2254 83
y FH(k)m(on)m(v)m(ergira)5 b(ju)36 b(u)d(normi)h(k)g(op)s(eratorima)f
FB(A)71 202 y FH(i)28 b FB(B)5 b FH(.)42 b(T)-8 b(ak)m(od)p
502 150 30 2 v 1 w(er,)30 b(op)s(eratori)d FB(K)1173
217 y FF(n)1251 202 y FH(:=)h FB(A)1455 217 y FF(n)1506
202 y FB(B)1580 217 y FF(n)1643 202 y FE(\000)13 b FB(B)1807
217 y FF(n)1858 202 y FB(A)1931 217 y FF(n)2010 202 y
FH(k)m(on)m(v)m(ergira)5 b(ju)30 b(u)e(normi)h(k)f(op)s(eratoru)g
FB(K)7 b FH(.)42 b(Zaista,)71 320 y(imamo)33 b(da)f(je)276
482 y FE(k)p FB(K)409 497 y FF(n)482 482 y FE(\000)22
b FB(K)7 b FE(k)28 b Fr(6)g FE(k)p FB(A)977 497 y FF(n)1028
482 y FB(B)1102 497 y FF(n)1174 482 y FE(\000)23 b FB(AB)5
b FE(k)22 b FH(+)g FE(k)p FB(B)1720 497 y FF(n)1771 482
y FB(A)1844 497 y FF(n)1916 482 y FE(\000)h FB(B)5 b(A)p
FE(k)749 626 y Fr(6)28 b FE(k)p FB(A)977 641 y FF(n)1028
626 y FB(B)1102 641 y FF(n)1174 626 y FE(\000)23 b FB(AB)1421
641 y FF(n)1472 626 y FE(k)f FH(+)g FE(k)p FB(AB)1839
641 y FF(n)1911 626 y FE(\000)h FB(AB)5 b FE(k)22 b FH(+)g
FE(k)p FB(B)2457 641 y FF(n)2508 626 y FB(A)2581 641
y FF(n)2653 626 y FE(\000)h FB(B)2827 641 y FF(n)2878
626 y FB(A)p FE(k)f FH(+)g FE(k)p FB(B)3245 641 y FF(n)3295
626 y FB(A)g FE(\000)h FB(B)5 b(A)p FE(k)749 769 y Fr(6)28
b FH(2)17 b(\()p FE(k)p FB(A)1081 784 y FF(n)1153 769
y FE(\000)23 b FB(A)p FE(kk)p FB(B)1500 784 y FF(n)1550
769 y FE(k)f FH(+)g FE(k)p FB(A)p FE(kk)p FB(B)2017 784
y FF(n)2089 769 y FE(\000)h FB(B)5 b FE(k)p FH(\))28
b FE(!)f FH(0)p FB(:)71 935 y FH(Preosta)5 b(je)43 b(nam)e(p)s(ok)-5
b(azati)42 b(da)f(su)h(op)s(eratori)f FB(K)1928 950 y
FF(n)2020 935 y FH(k)m(ompaktni,)46 b(iz)39 b(\024)-46
b(cega)39 b(\023)-46 b(ce)42 b(slijediti)g(da)g(je)f
FB(K)49 b FH(k)-5 b(ao)71 1054 y(limes)34 b(k)m(ompaktnih)g(op)s
(eratora)e(tak)m(od)p 1506 1002 V(er)h(k)m(ompaktan.)293
1173 y(Izra)m(\024)-46 b(cuna)5 b(jmo)719 1335 y FE(F)26
b FH(\()p FB(K)938 1350 y FF(n)989 1335 y FB(u)p FH(\))16
b(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))27 b(=)g FB(a)1502
1350 y FF(n)1553 1335 y FH(\()p FB(\034)1633 1350 y FC(0)1676
1335 y FB(;)17 b FA(\030)1771 1350 y FC(0)1813 1335 y
FH(\))p FE(F)10 b FH(\()p FB(b)2012 1350 y FF(n)2062
1335 y FB(u)p FH(\)\()p FB(\034)c(;)17 b FA(\030)s FH(\))k
FE(\000)i(F)10 b FH(\()p FB(b)2660 1350 y FF(n)2710 1335
y FH(\()p FB(A)2821 1350 y FF(n)2871 1335 y FB(u)p FH(\)\)\()p
FB(\034)c(;)17 b FA(\030)s FH(\))1348 1497 y(=)27 b FB(a)1502
1512 y FF(n)1553 1497 y FH(\()p FB(\034)1633 1512 y FC(0)1676
1497 y FB(;)17 b FA(\030)1771 1512 y FC(0)1813 1497 y
FH(\)\()1885 1470 y(^)1889 1497 y FB(b)1930 1512 y FF(n)2003
1497 y FE(\003)28 b FH(^)-55 b FB(u)o FH(\)\()p FB(\034)6
b(;)17 b FA(\030)s FH(\))k FE(\000)i FH(\()2545 1470
y(^)2549 1497 y FB(b)2590 1512 y FF(n)2663 1497 y FE(\003)f
FH(\()2791 1472 y Fu(d)2773 1497 y FB(A)2846 1512 y FF(n)2897
1497 y FB(u)o FH(\)\)\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))1348 1695 y(=)1451 1559 y Fu(Z)1600 1695 y FB(k)1651
1710 y FF(n)1701 1695 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FB(;)g(\033)n(;)g FA(\021)t FH(\))6 b(^)-55 b FB(u)o
FH(\()p FB(\033)n(;)17 b FA(\021)t FH(\))p FB(d\033)t(d)p
FA(\021)t FB(;)71 1944 y FH(gdje)38 b(je)g FB(k)447 1959
y FF(n)497 1944 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FB(;)g(\033)n(;)g FA(\021)t FH(\))j(=)1053 1917 y(^)1056
1944 y FB(b)1097 1959 y FF(n)1148 1944 y FH(\()p FB(\034)38
b FE(\000)26 b FB(\033)n(;)17 b FA(\030)29 b FE(\000)d
FA(\021)t FH(\))17 b(\()o FB(a)1856 1959 y FF(n)1907
1944 y FH(\()p FB(\034)1987 1959 y FC(0)2030 1944 y FB(;)g
FA(\030)2125 1959 y FC(0)2167 1944 y FH(\))22 b FE(\000)g
FB(a)2377 1959 y FF(n)2428 1944 y FH(\()p FB(\033)2521
1959 y FC(0)2564 1944 y FB(;)17 b FA(\021)2668 1959 y
FC(0)2710 1944 y FH(\)\).)60 b(Kak)m(o)38 b(su)g(funcije)h
FB(a)3634 1959 y FF(n)3723 1944 y FH(Lip-)71 2062 y(sc)m(hitzo)m(v)m
(e,)c(to)e(je)f(na)h(osno)m(vu)g(nejednak)m(osti)i(\(1\))474
2297 y FE(j)p FB(a)553 2312 y FF(n)603 2297 y FH(\()p
FB(\034)683 2312 y FC(0)726 2297 y FB(;)17 b FA(\030)821
2312 y FC(0)863 2297 y FH(\))22 b FE(\000)g FB(a)1073
2312 y FF(n)1124 2297 y FH(\()p FB(\033)1217 2312 y FC(0)1260
2297 y FB(;)17 b FA(\021)1364 2312 y FC(0)1406 2297 y
FH(\))p FE(j)27 b FB(<)h(C)1680 2256 y FC(1)1673 2322
y FF(n)1723 2297 y FE(j)p FH(\()p FB(\034)1831 2312 y
FC(0)1874 2297 y FB(;)17 b FA(\030)1969 2312 y FC(0)2010
2297 y FH(\))23 b FE(\000)f FH(\()p FB(\033)2263 2312
y FC(0)2306 2297 y FB(;)17 b FA(\021)2410 2312 y FC(0)2452
2297 y FH(\))p FE(j)27 b FB(<)h(C)2726 2256 y FC(2)2719
2322 y FF(n)2801 2230 y FE(j)p FH(\()p FB(\034)6 b(;)17
b FA(\030)s FH(\))k FE(\000)i FH(\()p FB(\033)n(;)17
b FA(\021)t FH(\))p FE(j)p 2779 2274 679 4 v 2779 2365
a FB(\032)p FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))22
b(+)g FB(\032)p FH(\()p FB(\033)n(;)17 b FA(\021)t FH(\))3468
2297 y FB(;)71 2533 y FH(za)39 b(sv)m(e)i(to)m(\024)-46
b(ck)m(e)40 b(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))39
b(i)g(\()p FB(\033)n(;)17 b FA(\021)t FH(\))39 b(sa)g(sv)m(o)5
b(jstv)m(om)42 b(da)d(su)h(sk)-5 b(alari)39 b FB(\032)p
FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))p FB(;)g(\032)p
FH(\()p FB(\033)n(;)g FA(\021)t FH(\))39 b(v)m(e)m(\023)-46
b(ci)40 b(o)s(d)f(1,)i(pri)36 b(\024)-46 b(cem)m(u)71
2651 y(su)44 b FB(C)284 2615 y FC(1)277 2676 y FF(n)327
2651 y FB(;)17 b(C)448 2615 y FC(2)441 2676 y FF(n)534
2651 y FH(p)s(ozitivne)44 b(k)m(onstan)m(te.)77 b(Stoga)42
b(za)h(paro)m(v)m(e)h(to)m(\024)-46 b(cak)-5 b(a)43 b(\()p
FB(\034)6 b(;)17 b FA(\030)s FH(\))p FB(;)g FH(\()p FB(\033)n(;)g
FA(\021)t FH(\))42 b(sa)h(sv)m(o)5 b(jstv)m(om)45 b(da)e(je)71
2770 y(\()p FB(\034)33 b FE(\000)23 b FB(\033)n(;)17
b FA(\030)25 b FE(\000)e FA(\021)t FH(\))k FE(2)h FH(supp)18
b FB(b)1039 2785 y FF(n)1090 2770 y FH(,)32 b(te)h(max)17
b FE(f)p FB(\032)p FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))p FB(;)g(\032)p FH(\()p FB(\033)n(;)g FA(\021)t
FH(\))p FE(g)27 b FB(>)g(m)p FH(,)33 b(vrijedi)h(nejednak)m(ost)71
2998 y(\(4\))1140 b FE(j)p FB(a)1415 3013 y FF(n)1465
2998 y FH(\()p FB(\034)1545 3013 y FC(0)1588 2998 y FB(;)17
b FA(\030)1683 3013 y FC(0)1725 2998 y FH(\))22 b FE(\000)h
FB(a)1936 3013 y FF(n)1986 2998 y FH(\()p FB(\033)2079
3013 y FC(0)2122 2998 y FB(;)17 b FA(\021)2226 3013 y
FC(0)2268 2998 y FH(\))p FE(j)28 b FB(<)2475 2931 y(C)2545
2946 y FF(n)p 2475 2975 121 4 v 2493 3066 a FB(m)2605
2998 y(:)71 3203 y FH(Zb)s(og)j(toga)h(mo)m(\024)-46
b(zemo)34 b(pisati)321 3381 y FB(k)372 3396 y FF(n)422
3381 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s FB(;)g(\033)n(;)g
FA(\021)t FH(\))27 b(=)976 3355 y(^)979 3381 y FB(b)1020
3396 y FF(n)1071 3381 y FH(\()p FB(\034)34 b FE(\000)22
b FB(\033)n(;)17 b FA(\030)26 b FE(\000)c FA(\021)t FH(\))p
FB(X)1748 3340 y FF(m)1740 3406 y(n)1819 3381 y FH(\()p
FB(\034)6 b(;)17 b FA(\030)s FB(;)g(\033)n(;)g FA(\021)t
FH(\))k(+)2361 3355 y(^)2365 3381 y FB(b)2406 3396 y
FF(n)2457 3381 y FH(\()p FB(\034)34 b FE(\000)22 b FB(\033)n(;)17
b FA(\030)25 b FE(\000)e FA(\021)t FH(\))p FB(Y)3123
3340 y FF(m)3102 3406 y(n)3194 3381 y FH(\()p FB(\034)6
b(;)17 b FA(\030)s FB(;)g(\033)n(;)g FA(\021)t FH(\))p
FB(;)71 3559 y FH(pri)31 b(\024)-46 b(cem)m(u)34 b(je)f(za)h
FB(m)29 b FE(2)g FI(N)p FH(,)k(funk)m(cija)h FB(X)1523
3523 y FF(m)1515 3584 y(n)1624 3559 y FH(=)28 b(\()p
FB(a)1817 3574 y FF(n)1868 3559 y FH(\()p FB(\034)1948
3574 y FC(0)1991 3559 y FB(;)17 b FA(\030)2086 3574 y
FC(0)2128 3559 y FH(\))22 b FE(\000)g FB(a)2338 3574
y FF(n)2389 3559 y FH(\()p FB(\033)2482 3574 y FC(0)2525
3559 y FB(;)17 b FA(\021)2629 3574 y FC(0)2671 3559 y
FH(\)\))g FB(\037)2825 3576 y FF(S)2876 3550 y Fs(m)2872
3588 y(n)2943 3559 y FH(,)34 b(gdje)f(je)g(s)h FB(S)3457
3523 y FF(m)3451 3584 y(n)3562 3559 y FH(ozna)m(\024)-46
b(cen)71 3692 y(skup)28 b FE(f)p FH(\()p FB(\034)6 b(;)17
b FA(\030)s FB(;)g(\033)n(;)g FA(\021)t FH(\))27 b FE(2)h
FI(R)978 3656 y FC(2\(1+)p FF(d)p FC(\))1245 3692 y FH(:)g(\()p
FB(\034)23 b FE(\000)11 b FB(\033)n(;)17 b FA(\030)d
FE(\000)d FA(\021)t FH(\))29 b FE(2)f FH(supp)2180 3665
y(^)2184 3692 y FB(b)2225 3707 y FF(n)2276 3692 y FB(;)33
b FH(max)q FE(f)p FB(\032)p FH(\()p FB(\034)6 b(;)17
b FA(\030)s FH(\))p FB(;)g(\032)p FH(\()p FB(\033)n(;)g
FA(\021)t FH(\))p FE(g)26 b Fr(6)i FB(m)p FE(g)p FH(.)42
b(Skup)s(o)m(vi)71 3810 y FB(S)137 3774 y FF(m)131 3835
y(n)241 3810 y FH(su)34 b(k)m(ompaktni)h(zb)s(og)d(k)m(ompaktnosti)j
(skupa)f FE(f)p FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))28 b FE(2)g FI(R)2452 3774 y FC(1+)p FF(d)2622
3810 y FH(:)h FB(\032)p FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))28 b Fr(6)h FB(m)p FE(g)p FH(.)45 b(Nadalje,)33
b(s)h FB(Y)3826 3774 y FF(m)3805 3835 y(n)71 3929 y FH(je)f(ozna)m
(\024)-46 b(cena)33 b(funk)m(cija)g(na)g FI(R)1182 3893
y FC(2\(1+)p FF(d)p FC(\))1454 3929 y FH(zadana)g(relacijom)g
FB(Y)2283 3893 y FF(m)2262 3954 y(n)2366 3929 y FH(=)11
b(\()p FB(a)2542 3944 y FF(n)2592 3929 y FH(\()p FB(\034)2672
3944 y FC(0)2715 3929 y FB(;)17 b FA(\030)2810 3944 y
FC(0)2852 3929 y FH(\))22 b FE(\000)h FB(a)3063 3944
y FF(n)3114 3929 y FH(\()p FB(\033)3207 3944 y FC(0)3250
3929 y FB(;)17 b FA(\021)3354 3944 y FC(0)3396 3929 y
FH(\)\))f FB(\037)3549 3951 y FC(\()p FF(S)3630 3925
y Fs(m)3626 3963 y(n)3693 3951 y FC(\))3723 3929 y Fs(c)8
b FH(.)293 4073 y(Budu)m(\023)-46 b(ci)29 b(da)g(je)853
4047 y(^)856 4073 y FB(b)897 4088 y FF(n)948 4073 y FH(\()p
FB(\034)c FE(\000)14 b FB(\033)n(;)j FA(\030)g FE(\000)d
FA(\021)t FH(\))p FB(X)1591 4037 y FF(m)1583 4098 y(n)1662
4073 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s FB(;)g(\033)n(;)g
FA(\021)t FH(\))27 b(omed)p 2309 4021 30 2 v 1 w(ena)i(funk)m(cija)g(s)
g(k)m(ompaktnim)h(nosa)m(\024)-46 b(cem,)71 4192 y(to)28
b(je)h(ona)f(iz)i(prostora)e(L)1010 4156 y FC(2)1052
4192 y FH(\()p FI(R)1174 4156 y FC(2\(1+)p FF(d)p FC(\))1414
4192 y FH(\),)i(o)s(dnosno)e(ona)h(je)g(jezgra)f(Hilb)s(ert-Sc)m
(hmidto)m(v)m(og)j(op)s(eratora)d(na)71 4311 y(L)132
4275 y FC(2)174 4311 y FH(\()p FI(R)296 4275 y FC(\(1+)p
FF(d)p FC(\))498 4311 y FH(\),)k(k)m(o)5 b(ji)34 b(je)e(k)m(ompaktan)i
(\(vidi)f([Ba]\).)293 4430 y(S)g(druge)g(strane,)g(na)f(osno)m(vu)i(Y)
-8 b(oungo)m(v)m(e)34 b(nejednak)m(osti)g(i)f(nejednak)m(osti)h(\(4\))e
(imamo)h(da)g(je)91 4574 y Fu(\015)91 4634 y(\015)91
4693 y(\015)130 4553 y(Z)226 4662 y FH(^)230 4688 y FB(b)271
4703 y FF(n)322 4688 y FH(\()p FB(\034)g FE(\000)23 b
FB(\033)n(;)17 b FA(\030)25 b FE(\000)d FA(\021)t FH(\))p
FB(Y)987 4647 y FF(m)966 4713 y(n)1059 4688 y FH(\()p
FB(\034)6 b(;)17 b FA(\030)s FB(;)g(\033)n(;)g FA(\021)t
FH(\))6 b(^)-55 b FB(u)n FH(\()p FB(\033)n(;)17 b FA(\021)t
FH(\))p FB(d\033)t(d)p FA(\021)2002 4574 y Fu(\015)2002
4634 y(\015)2002 4693 y(\015)2056 4600 y FC(2)2056 4757
y(L)2104 4736 y Fv(2)2141 4757 y FC(\()p Ft(R)2237 4736
y Fv(1+)p Fs(d)2360 4757 y FC(\))2389 4688 y Fr(6)2477
4548 y Fu(\022)2561 4621 y FB(C)2631 4636 y FF(n)p 2561
4666 121 4 v 2578 4757 a FB(m)2691 4548 y Fu(\023)2764
4570 y FC(2)2823 4688 y FE(k)p FH(\()p FE(j)2935 4662
y FH(^)2939 4688 y FB(b)2980 4703 y FF(n)3031 4688 y
FE(j)6 b(\003)g(j)g FH(^)-55 b FB(u)m FE(j)p FH(\)\()p
FB(\034)6 b(;)17 b FA(\030)s FH(\))p FE(k)3539 4619 y
FC(2)3539 4717 y(L)3587 4696 y Fv(2)3624 4717 y FC(\()p
Ft(R)3720 4696 y Fv(1+)p Fs(d)3843 4717 y FC(\))2389
4983 y Fr(6)2494 4842 y Fu(\022)2577 4915 y FB(C)2647
4930 y FF(n)p 2577 4960 V 2595 5051 a FB(m)2707 4842
y Fu(\023)2781 4864 y FC(2)2840 4983 y FE(k)2886 4956
y FH(^)2890 4983 y FB(b)2931 4998 y FF(n)2982 4983 y
FE(k)3031 4913 y FC(2)3031 5012 y(L)3079 4990 y Fv(1)3117
5012 y FC(\()p Ft(R)3213 4990 y Fv(1+)p Fs(d)3336 5012
y FC(\))3370 4983 y FE(k)6 b FH(^)-55 b FB(u)o FE(k)3525
4934 y FC(2)3525 5012 y(L)3573 4990 y Fv(2)3610 5012
y FC(\()p Ft(R)3706 4990 y Fv(1+)p Fs(d)3829 5012 y FC(\))2389
5307 y Fr(6)2494 5136 y Fu( )2605 5214 y FH(~)2583 5239
y FB(C)2653 5254 y FF(n)p 2583 5284 V 2600 5375 a FB(m)2713
5136 y Fu(!)2792 5159 y FC(2)2851 5307 y FE(k)p FB(u)p
FE(k)3006 5258 y FC(2)3006 5336 y(L)3054 5315 y Fv(2)3091
5336 y FC(\()p Ft(R)3187 5315 y Fv(1+)p Fs(d)3310 5336
y FC(\))3344 5307 y FB(;)71 5574 y FH(o)s(dnosno)44 b(op)s(erator)g
FB(K)953 5589 y FF(n)1048 5574 y FH(je)g(limes)i(\(u)e(normi\))h(niza)g
(k)m(ompaktnih)h(op)s(eratora,)g(te)f(je)g(stoga)f(i)g(sam)71
5692 y(k)m(ompaktan.)3561 5811 y FI(Q.E.D.)3770 6010
y Fz(43)p eop end
%%Page: 44 50
TeXDict begin 44 49 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)57 83 y FH(Kori)-5
b(\024)-44 b(stenjem)31 b(rezultata)g(prv)m(e)h(k)m(om)m(utacijsk)m(e)h
(leme)f(u)e(stanju)h(smo)g(dok)-5 b(azati)30 b(p)s(osto)5
b(janje)31 b(no)m(v)m(e)-165 202 y(v)-5 b(arijan)m(te.)-165
403 y FI(T)c(eorem)38 b(1.)57 b(\(P)m(osto)6 b(janje)39
b(parab)s(oli)m(\024)-53 b(ckih)40 b(H-mjera\))34 b Fw(Nek)-5
b(a)34 b(niz)h(funk)m(cija)f FL(u)2926 418 y FF(n)3006
403 y FB(*)29 b FL(0)k Fw(u)h(prostoru)-165 522 y FH(L)-104
486 y FC(2)-62 522 y FH(\()p FI(R)60 486 y FC(1+)p FF(d)202
522 y FH(;)17 b FI(C)327 486 y FF(r)367 522 y FH(\))p
Fw(.)85 b(T)-8 b(ada)47 b(p)s(osto)5 b(ji)46 b(njego)m(v)h(p)s(o)s
(dniz)g(\(k)m(o)5 b(jeg)47 b(u)f(daljnjem)h(ozna)m(\024)-46
b(cujemo)47 b(jednak)m(o\),)k(te)-165 640 y FB(r)16 b
FE(\002)e FB(r)31 b Fw(hermitsk)-5 b(a)30 b(matri)m(\024)-46
b(cna)29 b(Radono)m(v)-5 b(a)28 b(mjera)g FA(\026)g Fw(na)h
FI(R)1944 604 y FC(1+)p FF(d)2099 640 y FE(\002)14 b
FH(P)2256 604 y FF(d)2329 640 y Fw(takv)-5 b(a)29 b(da)f(za)h(sv)-5
b(aki)29 b(izb)s(or)f(funk)m(cija)-165 759 y FB(\036)-107
774 y FC(1)-65 759 y FB(;)17 b(\036)37 774 y FC(2)107
759 y FE(2)28 b FH(C)271 774 y FC(0)314 759 y FH(\()p
FI(R)436 723 y FC(1+)p FF(d)577 759 y FH(\))p FB(;)17
b( )32 b FE(2)c FH(C\(P)1022 723 y FF(d)1066 759 y FH(\))33
b Fw(vrijedi)-165 1060 y FH(\(5\))226 b(lim)230 1120
y FF(n)383 925 y Fu(Z)316 1224 y Ft(R)382 1203 y Fv(1+)p
Fs(d)543 1060 y FE(F)625 950 y Fu(\020)684 1060 y FB(\036)742
1075 y FC(1)785 1060 y FL(u)835 1075 y FF(n)885 950 y
Fu(\021)945 1060 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))k FE(\012)p 1288 934 402 4 v 23 w(F)1370 950 y
Fu(\020)1429 1060 y FB(\036)1487 1075 y FC(2)1529 1060
y FL(u)1579 1075 y FF(n)1630 950 y Fu(\021)1689 1060
y FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))g FB( )1995
950 y Fu(\020)2053 1060 y FB(\034)2095 1075 y FC(0)2138
1060 y FB(;)g FA(\030)2233 1075 y FC(0)2275 950 y Fu(\021)2335
1060 y FB(d\034)11 b(d)p FA(\030)30 b FH(=)e FE(h)p FA(\026)p
FB(;)17 b(\036)2887 1075 y FC(1)p 2928 979 58 4 v 2928
1060 a FB(\036)2986 1084 y FC(2)3050 1060 y Fr(\002)23
b FB( )t FE(i)k FB(:)-165 1540 y FL(Dem.)103 b FH(Ozna)m(\024)-46
b(cimo)36 b(li)g(s)h FB(A)f FH(op)s(erator)f(pridru)m(\024)-46
b(zen)38 b(sim)m(b)s(olu)p 2093 1459 67 4 v 37 w FB( )h
FH(form)m(ulom)e(\(2\),)f(na)g(osno)m(vu)h(Planc)m(he-)-165
1659 y(relo)m(v)m(e)d(form)m(ule)f(limes)h(iz)f(isk)-5
b(aza)33 b(teorema)g(je)f(jednak)864 1955 y(lim)909 2014
y FF(n)1061 1819 y Fu(Z)994 2119 y Ft(R)1060 2097 y Fv(1+)p
Fs(d)1205 1955 y FH(\()p FB(\036)1301 1970 y FC(1)1344
1955 y FL(u)1394 1970 y FF(n)1444 1955 y FH(\)\()p FB(\034)6
b(;)17 b FA(\030)s FH(\))k FE(\012)p 1825 1868 350 4
v 23 w FH(\()p FB(A\036)1994 1970 y FC(2)2036 1955 y
FL(u)2086 1970 y FF(n)2137 1955 y FH(\)\()p FB(\034)6
b(;)17 b FA(\030)s FH(\))p FB(d\034)11 b(d)p FA(\030)s
FB(:)-165 2344 y FH(Kak)m(o)22 b(zb)s(og)g(prv)m(e)h(k)m(om)m(utacijsk)
m(e)i(leme)e(vrijedi)g(da)g(je)f(\()p FB(A\036)1975 2359
y FC(2)2018 2344 y FE(\000)q FB(\036)2154 2359 y FC(2)2197
2344 y FB(A)p FH(\))p FL(u)2358 2359 y FF(n)2436 2344
y FH(=)28 b FB(K)7 b FL(u)2680 2359 y FF(n)2730 2344
y FH(,)24 b(gdje)f(je)f FB(K)29 b FH(k)m(ompaktan)-165
2463 y(op)s(erator)j(na)g(L)424 2427 y FC(2)467 2463
y FH(,)g(to)g(tra)m(\024)-46 b(zeni)34 b(limes)f(mo)m(\024)-46
b(zemo)34 b(zapisati)f(k)-5 b(ao)-165 2758 y(\(6\))904
b(lim)909 2818 y FF(n)1061 2623 y Fu(Z)994 2923 y Ft(R)1060
2901 y Fv(1+)p Fs(d)1205 2758 y FH(\()p FB(\036)1301
2773 y FC(1)p 1344 2677 101 4 v 1344 2758 a FB(\036)1402
2773 y FC(2)1444 2758 y FL(u)1494 2773 y FF(n)1544 2758
y FH(\)\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))22 b FE(\012)p
1925 2672 250 4 v 22 w FH(\()p FB(A)p FL(u)2086 2773
y FF(n)2137 2758 y FH(\)\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))p FB(d\034)11 b(d)p FA(\030)s FB(:)-165 3170 y
FH(Gornji)21 b(niz)i(op)s(eratora)f(je)g(omed)p 998 3118
30 2 v 1 w(en)h(s)g FB(C)7 b FE(k)p FB(\036)1399 3185
y FC(1)1441 3170 y FE(k)1491 3199 y FC(L)1539 3177 y
Fq(1)1614 3170 y FE(k)p FB(\036)1722 3185 y FC(2)1764
3170 y FE(k)1813 3199 y FC(L)1861 3177 y Fq(1)1936 3170
y FE(k)p FB( )t FE(k)2103 3199 y FC(L)2151 3177 y Fq(1)2225
3170 y FB(;)23 b FH(gdje)f(je)h FB(C)18 b FH(=)27 b(sup)2907
3193 y FF(n)2974 3170 y FE(k)p FL(u)3074 3185 y FF(n)3124
3170 y FE(k)3174 3121 y FC(2)3174 3199 y(L)3222 3178
y Fv(2)3259 3199 y FC(\()p Ft(R)3355 3178 y Fv(1+)p Fs(d)3478
3199 y FC(;)p Ft(C)3563 3178 y Fs(r)3600 3199 y FC(\))3634
3170 y FH(.)57 3325 y(Kak)m(o)i(su)h(prostori)f(C)860
3340 y FC(0)903 3325 y FH(\()p FI(R)1025 3289 y FC(1+)p
FF(d)1167 3325 y FH(\))g(i)g(C\(P)1464 3289 y FF(d)1508
3325 y FH(\))g(separabilni,)i(to)e(mo)m(\024)-46 b(zemo)30
b(sa)f FB(S)6 b FH(,)30 b(o)s(dnosno)f FB(T)14 b FH(,)30
b(ozna)m(\024)-46 b(citi)-165 3444 y(njiho)m(v)m(e)41
b(prebro)5 b(jiv)m(e)41 b(guste)f(p)s(o)s(dskup)s(o)m(v)m(e.)67
b(Primijenimo)41 b(dijagonalni)e(p)s(ostupak)h(za)g(k)m(onstruk)m(ciju)
-165 3562 y(p)s(o)s(dniza)30 b FL(u)251 3577 y FF(n)297
3585 y Fs(r)368 3562 y FH(takv)m(og)h(da)f(niz)h(u)f(\(6\))g(k)m(on)m
(v)m(ergira)h(za)g(sv)-5 b(aki)30 b(izb)s(or)h(funk)m(cija)g(\()p
FB(\036)2752 3577 y FC(1)2794 3562 y FB(;)17 b(\036)2896
3577 y FC(2)2938 3562 y FB(;)g( )t FH(\))27 b FE(2)h
FB(S)23 b FE(\002)18 b FB(S)23 b FE(\002)18 b FB(T)c
FH(.)-165 3681 y(U)34 b(tu)h(svrh)m(u)h(indeksira)5 b(jmo)37
b(s)e FB(m)g FH(sv)m(e)h(ured)p 1433 3629 V 1 w(ene)g(tro)5
b(jk)m(e)36 b(funk)m(cija)f(iz)g FB(S)30 b FE(\002)24
b FB(S)29 b FE(\002)24 b FB(T)14 b FH(.)50 b(Zb)s(og)34
b(omed)p 3377 3629 V 1 w(enosti)-165 3800 y(niza)f(iz)g(\(6\))f(u)g
FE(L)p FH(\()p FI(C)575 3764 y FF(r)616 3800 y FH(\),)h(to)f(za)g
FB(m)c FH(=)g(1)k(p)s(osto)5 b(ji)33 b(p)s(o)s(dniz)g
FL(u)1951 3822 y FF(n)1997 3834 y Fv(1)2034 3822 y FC(\()p
FF(n)p FC(\))2177 3800 y FH(tak)-5 b(a)m(v)33 b(da)f(k)m(on)m(v)m
(ergira)j(niz)e(op)s(eratora)813 3981 y Fu(Z)746 4281
y Ft(R)812 4259 y Fv(1+)p Fs(d)957 4117 y FH(\()p FB(\036)1053
4075 y FC(1)1053 4141 y(1)p 1095 4022 101 4 v 1095 4117
a FB(\036)1153 4082 y FC(1)1153 4146 y(2)1196 4117 y
FL(u)1246 4138 y FF(n)1292 4150 y Fv(1)1329 4138 y FC(\()p
FF(n)p FC(\))1439 4117 y FH(\)\()p FB(\034)6 b(;)17 b
FA(\030)s FH(\))22 b FE(\012)p 1820 4020 451 4 v 1820
4036 a Fu(\000)1866 4117 y FB(A)1939 4088 y FC(1)1982
4117 y FL(u)2032 4138 y FF(n)2078 4150 y Fv(1)2115 4138
y FC(\()p FF(n)p FC(\))2225 4036 y Fu(\001)2271 4117
y FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))p FB(d\034)11
b(d)p FA(\030)s FB(:)-165 4500 y FH(Za)44 b(ta)5 b(j)46
b(p)s(o)s(dniz,)i(p)s(osto)5 b(ji)46 b(njego)m(v)g(p)s(o)s(dniz,)j
FL(u)1589 4522 y FF(n)1635 4534 y Fv(2)1672 4522 y FC(\()p
FF(n)p FC(\))1828 4500 y FH(za)c(k)m(o)5 b(jeg)47 b(k)m(on)m(v)m
(ergira)g(niz)f(analogan)e(gornjem)-165 4619 y(nizu)51
b(uz)h(zamjen)m(u)g FB(m)59 b FH(=)g(2.)98 b(Nasta)m(vlja)5
b(ju)m(\023)-46 b(ci)52 b(p)s(ostupak,)k(na)51 b(ta)5
b(j)51 b(na)m(\024)-46 b(cin)51 b(k)m(onstruiramo)h(p)s(o)s(dniz)-165
4738 y FL(u)-115 4760 y FF(n)-69 4772 y Fv(1)-32 4760
y FC(\(1\))71 4738 y FB(;)17 b FL(u)165 4760 y FF(n)211
4772 y Fv(2)248 4760 y FC(\(2\))350 4738 y FB(;)g(:)g(:)g(:)o
FH(.)44 b(Za)32 b(ta)5 b(j)32 b(p)s(o)s(dniz,)h(niz)792
4919 y Fu(Z)726 5219 y Ft(R)792 5197 y Fv(1+)p Fs(d)937
5054 y FH(\()p FB(\036)1033 5013 y FF(m)1033 5079 y FC(1)p
1104 4973 130 4 v 1104 5054 a FB(\036)1162 5020 y FF(m)1162
5084 y FC(2)1234 5054 y FL(u)1284 5076 y FF(n)1330 5084
y Fs(r)1367 5076 y FC(\()p FF(r)r FC(\))1468 5054 y FH(\)\()p
FB(\034)6 b(;)17 b FA(\030)s FH(\))k FE(\012)p 1849 4958
471 4 v 1849 4974 a Fu(\000)1894 5054 y FB(A)1967 5026
y FF(m)2039 5054 y FL(u)2089 5076 y FF(n)2135 5084 y
Fs(r)2172 5076 y FC(\()p FF(r)r FC(\))2273 4974 y Fu(\001)2319
5054 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))p FB(d\034)11
b(d)p FA(\030)-165 5444 y FH(k)m(on)m(v)m(ergira)26 b(za)g(sv)-5
b(aki)26 b FB(m)p FH(,)g(o)s(dnosno)g(za)f(sv)-5 b(aki)26
b(izb)s(or)f(funk)m(cija)h(\()p FB(\036)2220 5459 y FC(1)2262
5444 y FB(;)17 b(\036)2364 5459 y FC(2)2406 5444 y FB(;)g( )t
FH(\))25 b(iz)g(gustog)g(skupa)h FB(S)13 b FE(\002)7
b FB(S)13 b FE(\002)7 b FB(T)14 b FH(.)-165 5563 y(Konstruirani)33
b(p)s(o)s(dniz)f(u)h(daljnjem)g(dijelu)g(dok)-5 b(aza)33
b(ozna)m(\024)-46 b(ca)m(v)-5 b(at)30 b(\023)-46 b(cemo)33
b(jednak)m(o)g(k)-5 b(ao)32 b(i)h(sam)g(niz.)57 5692
y(U)e(sljede)m(\023)-46 b(cem)32 b(k)m(oraku)g(dok)-5
b(a)m(\024)-46 b(zimo)31 b(da)g(niz)g(u)g(\(6\))f(k)m(on)m(v)m(ergira)j
(i)d(za)h(proizv)m(oljn)m(u)h(tro)5 b(jku)31 b(funk)m(cija)-165
5811 y(\()p FB(\036)-69 5826 y FC(1)-27 5811 y FB(;)17
b(\036)75 5826 y FC(2)117 5811 y FB(;)g( )t FH(\))28
b FE(2)i FH(C)460 5826 y FC(0)503 5811 y FH(\()p FI(R)625
5775 y FC(1+)p FF(d)766 5811 y FH(\))23 b FE(\002)g FH(C)997
5826 y FC(0)1040 5811 y FH(\()p FI(R)1162 5775 y FC(1+)p
FF(d)1304 5811 y FH(\))f FE(\002)h FH(C\(P)1638 5775
y FF(d)1683 5811 y FH(\).)46 b(Zaista,)33 b(nek)-5 b(a)33
b(je)h(\()p FB(\036)2543 5775 y FF(k)2543 5839 y FC(1)2589
5811 y FB(;)17 b(\036)2691 5775 y FF(k)2691 5839 y FC(2)2737
5811 y FB(;)g( )2848 5775 y FF(k)2894 5811 y FH(\))28
b FE(2)i FB(S)e FE(\002)23 b FB(S)29 b FE(\002)23 b FB(T)47
b FH(niz)-165 6010 y Fz(44)p eop end
%%Page: 45 51
TeXDict begin 45 50 bop 2763 -116 a Fx(P)n(arab)r(oli)n(\024)-39
b(ck)n(e)24 b(H-mjere)k(i)f(primjene)71 83 y FH(k)m(o)5
b(ji)33 b(k)m(on)m(v)m(ergira)h(k)f(\()p FB(\036)917
98 y FC(1)960 83 y FB(;)17 b(\036)1062 98 y FC(2)1104
83 y FB(;)g( )t FH(\).)43 b(T)-8 b(ada)32 b(je)154 181
y Fu(Z)87 481 y Ft(R)153 460 y Fv(1+)p Fs(d)265 206 y
Fu(\020)324 317 y FH(\()p FB(\036)420 332 y FC(1)p 463
236 101 4 v 463 317 a FB(\036)521 332 y FC(2)563 317
y FL(u)613 332 y FF(n)663 317 y FH(\)\()p FB(\034)6 b(;)17
b FA(\030)s FH(\))22 b FE(\012)p 1044 230 250 4 v 22
w FH(\()p FB(A)p FL(u)1205 332 y FF(n)1256 317 y FH(\)\()p
FB(\034)6 b(;)17 b FA(\030)s FH(\))k FE(\000)i FH(\()p
FB(\036)1733 332 y FC(1)p 1775 236 101 4 v 1775 317 a
FB(\036)1833 332 y FC(2)1876 317 y FL(u)1926 332 y FF(m)1997
317 y FH(\)\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))22
b FE(\012)p 2378 230 271 4 v 22 w FH(\()p FB(A)p FL(u)2539
332 y FF(m)2611 317 y FH(\)\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))2871 206 y Fu(\021)2947 317 y FB(d\034)11 b(d)p
FA(\030)120 660 y FH(=)235 524 y Fu(Z)168 824 y Ft(R)234
803 y Fv(1+)p Fs(d)346 549 y Fu(\020)389 660 y FH(\(\()p
FB(\036)523 675 y FC(1)p 565 579 101 4 v 565 660 a FB(\036)623
675 y FC(2)671 660 y FE(\000)6 b FB(\036)812 619 y FF(k)812
685 y FC(1)p 858 562 105 4 v 858 660 a FB(\036)916 626
y FF(k)916 690 y FC(2)962 660 y FH(\))p FL(u)1050 675
y FF(n)1101 660 y FH(\)\()p FB(\034)g(;)17 b FA(\030)s
FH(\))k FE(\012)p 1482 573 250 4 v 23 w FH(\()p FB(A)p
FL(u)1643 675 y FF(n)1693 660 y FH(\))-16 b(\()p FB(\034)6
b(;)17 b FA(\030)s FH(\))6 b(+)g(\()p FB(\036)2121 619
y FF(k)2121 685 y FC(1)p 2165 562 105 4 v 2165 660 a
FB(\036)2223 626 y FF(k)2223 690 y FC(2)2269 660 y FL(u)2319
675 y FF(n)2370 660 y FH(\)\()p FB(\034)g(;)17 b FA(\030)s
FH(\))k FE(\012)p 2751 563 549 4 v 2751 579 a Fu(\000)2796
660 y FH(\()p FB(A)6 b FE(\000)g FB(A)3069 631 y FF(k)3115
660 y FH(\))p FL(u)3203 675 y FF(n)3254 579 y Fu(\001)3299
660 y FH(\()p FB(\034)g(;)17 b FA(\030)s FH(\))3504 549
y Fu(\021)3564 660 y FB(d\034)11 b(d)p FA(\030)162 1003
y FE(\000)273 867 y Fu(Z)206 1167 y Ft(R)272 1146 y Fv(1+)p
Fs(d)384 892 y Fu(\020)427 1003 y FH(\(\()p FB(\036)561
1018 y FC(1)p 603 922 101 4 v 603 1003 a FB(\036)661
1018 y FC(2)709 1003 y FE(\000)6 b FB(\036)850 962 y
FF(k)850 1028 y FC(1)p 896 905 105 4 v 896 1003 a FB(\036)954
969 y FF(k)954 1033 y FC(2)1000 1003 y FH(\))p FL(u)1088
1018 y FF(m)1160 1003 y FH(\)\()p FB(\034)g(;)17 b FA(\030)s
FH(\))6 b FE(\012)p 1509 916 271 4 v 6 w FH(\()o FB(A)p
FL(u)1669 1018 y FF(m)1741 1003 y FH(\)\()p FB(\034)g(;)17
b FA(\030)s FH(\))6 b(+)g(\()p FB(\036)2185 962 y FF(k)2185
1028 y FC(1)p 2229 905 105 4 v 2229 1003 a FB(\036)2287
969 y FF(k)2287 1033 y FC(2)2333 1003 y FL(u)2383 1018
y FF(m)2455 1003 y FH(\)\()p FB(\034)g(;)17 b FA(\030)s
FH(\))6 b FE(\012)p 2804 906 571 4 v 2804 922 a Fu(\000)2848
1003 y FH(\()p FB(A)g FE(\000)g FB(A)3121 974 y FF(k)3167
1003 y FH(\))p FL(u)3255 1018 y FF(m)3327 922 y Fu(\001)3356
1003 y FH(\()p FB(\034)g(;)17 b FA(\030)s FH(\))3561
892 y Fu(\021)3620 1003 y FB(d\034)11 b(d)p FA(\030)162
1346 y FH(+)271 1210 y Fu(Z)205 1510 y Ft(R)271 1489
y Fv(1+)p Fs(d)382 1235 y Fu(\020)442 1346 y FH(\()p
FB(\036)538 1305 y FF(k)538 1371 y FC(1)p 584 1248 105
4 v 584 1346 a FB(\036)642 1312 y FF(k)642 1376 y FC(2)688
1346 y FL(u)738 1361 y FF(n)789 1346 y FH(\)\()p FB(\034)6
b(;)17 b FA(\030)s FH(\))k FE(\012)p 1170 1249 312 4
v 1170 1265 a Fu(\000)1215 1346 y FB(A)1288 1317 y FF(k)1335
1346 y FL(u)1385 1361 y FF(n)1435 1265 y Fu(\001)1481
1346 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))k FE(\000)i
FH(\()p FB(\036)1920 1305 y FF(k)1920 1371 y FC(1)p 1966
1248 105 4 v 1966 1346 a FB(\036)2024 1312 y FF(k)2024
1376 y FC(2)2070 1346 y FL(u)2120 1361 y FF(m)2192 1346
y FH(\)\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))k FE(\012)p
2573 1249 333 4 v 2573 1265 a Fu(\000)2618 1346 y FB(A)2691
1317 y FF(k)2738 1346 y FL(u)2788 1361 y FF(m)2860 1265
y Fu(\001)2905 1346 y FH(\()p FB(\034)6 b(;)17 b FA(\030)s
FH(\))3127 1235 y Fu(\021)3203 1346 y FB(d\034)11 b(d)p
FA(\030)s FB(:)71 1708 y FH(Prv)-5 b(a)26 b(dv)-5 b(a)25
b(in)m(tegrala)h(na)g(desno)5 b(j)27 b(strani)f(su)g(omed)p
1877 1656 30 2 v 1 w(ena)g(s)g FB(C)2225 1597 y Fu(\020)2284
1708 y FE(k)p FB(\036)2392 1723 y FC(1)p 2434 1627 101
4 v 2434 1708 a FB(\036)2492 1723 y FC(2)2540 1708 y
FE(\000)6 b FB(\036)2681 1672 y FF(k)2681 1736 y FC(1)p
2727 1610 105 4 v 2727 1708 a FB(\036)2785 1674 y FF(k)2785
1738 y FC(2)2831 1708 y FE(kk)p FB( )t FE(k)g FH(+)g
FE(k)p FB(\036)3244 1672 y FF(k)3244 1736 y FC(1)p 3289
1610 V 3289 1708 a FB(\036)3347 1674 y FF(k)3347 1738
y FC(2)3393 1708 y FE(kk)p FB( )j FE(\000)d FB( )3715
1672 y FF(k)3761 1708 y FE(k)3811 1597 y Fu(\021)3871
1708 y FH(,)71 1878 y FB(C)44 b FH(=)38 b(sup)446 1901
y FF(n)513 1878 y FE(k)p FL(u)613 1893 y FF(n)663 1878
y FE(k)713 1829 y FC(2)713 1907 y(L)761 1885 y Fv(2)841
1878 y FH(te)g(su)h(stoga,)h(za)e FB(k)k FH(do)m(v)m(oljno)d(v)m(elik,)
i(p)s(o)d(v)m(olji)h(mali.)62 b(Preostali)39 b(in)m(tegral)f(pred-)71
1996 y(sta)m(vlja)d(razliku)h FB(m)p FE(\000)p FH(tog)f(i)g
FB(n)p FE(\000)p FH(tog)d(\024)-46 b(clana)35 b(k)m(on)m(v)m(ergen)m
(tnog)i(niza)f(iz)c(\024)-46 b(cega)35 b(zaklju)m(\024)-46
b(cujemo)36 b(da)f(je)g(niz)g(u)71 2115 y(\(6\))d(Cauc)m(h)m(y)m(ev,)k
(o)s(dnosno,)d(k)m(on)m(v)m(ergen)m(tan.)293 2234 y(Na)j(ta)5
b(j)36 b(na)m(\024)-46 b(cin)36 b(smo)h(de\014nirali)g(preslik)-5
b(a)m(v)g(anje)37 b(s)f(C)2209 2249 y FC(0)2252 2234
y FH(\()p FI(R)2374 2198 y FC(1+)p FF(d)2516 2234 y FH(\))24
b FE(\002)h FH(C)2750 2249 y FC(0)2793 2234 y FH(\()p
FI(R)2915 2198 y FC(1+)p FF(d)3057 2234 y FH(\))f FE(\002)h
FH(C\(P)3395 2198 y FF(d)3440 2234 y FH(\))36 b(u)g FE(L)p
FH(\()p FI(C)3792 2198 y FF(r)3833 2234 y FH(\).)71 2353
y(T)-8 b(o)33 b(preslik)-5 b(a)m(v)g(anje)35 b(je)e(linearno)h(p)s(o)f
(sv)-5 b(ak)m(o)5 b(j)34 b(o)s(d)f(funk)m(cija)h FB(\036)2276
2368 y FC(1)2318 2353 y FB(;)17 b(\036)2420 2368 y FC(2)2462
2353 y FB(;)g( )t FH(.)45 b(T)-8 b(ak)m(od)p 2873 2301
30 2 v 2 w(er,)33 b(ono)g(je)g(i)h(neprekidno,)71 2471
y(jer)e(je)424 2655 y FE(k)p FB(\036)532 2670 y FC(1)p
574 2574 58 4 v 574 2655 a FB(\036)631 2679 y FC(2)674
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4507 y(\014)2543 4567 y(\014)2576 4354 y FC(2)2635 4502
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b FH(je)h(p)s(ozitivno)g(p)s(olude\014nitna.)62 b(Stoga)38
b(na)h(nju)g(mo)m(\024)-46 b(zemo)71 4938 y(primijeniti)28
b(Lem)m(u)h(4.)e(\(vidi)h(dolje\))f(k)m(o)5 b(ja)28 b(k)-5
b(a)m(\024)-46 b(ze)28 b(da)f(je)g(forma)g FB(B)33 b
FH(o)s(dred)p 2642 4886 30 2 v(ena)28 b(Radono)m(v)m(om)g(mjerom)f
FB(m)3814 4955 y Fp(\025)3871 4938 y FH(.)71 5057 y(V)-8
b(arira)5 b(ju)m(\023)-46 b(ci)31 b(v)m(ektor)h FA(\025)f
FH(u)g(relaciji)h FB(m)1410 5074 y Fp(\025)1494 5057
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y(sv)m(e)j(k)m(omp)s(onen)m(te)g FB(\026)840 5190 y FF(ij)906
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b Fw(parab)s(oli)m(\024)-46 b(ck)m(om)23 b(H-mjerom)g
FH(pridru)m(\024)-46 b(zenom)24 b(\(p)s(o)s(d\)nizu)71
5574 y(\()p FL(u)159 5589 y FF(n)209 5574 y FH(\).)293
5692 y(Direktna)31 b(p)s(osljedica)h(pretho)s(dnog)g(teorema)f(je)h(sv)
m(o)5 b(jstv)m(o)33 b(p)s(ozitivnosti)f(parab)s(oli)m(\024)-46
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eop end
%%Page: 46 52
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(dnosno)c(za)g(sv)-5 b(aku)41 b(v)m(ek-)-165 202 y(torsku)e(funk)m
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202 y FH(\))38 b FE(2)g FH(C)1450 219 y FF(b)1488 202
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g(Radono)m(v)-5 b(a)-165 320 y(mjera)32 b(na)h FI(R)328
284 y FC(1+)p FF(d)492 320 y FE(\002)22 b FH(P)657 284
y FF(d)702 320 y Fw(.)-165 464 y FL(Dem.)91 b FH(Zamjenjuju)m(\023)-46
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464 y FB(;)17 b(\036)1290 479 y FC(2)1361 464 y FH(u)29
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FB(i;)17 b(j)39 b FH(dobijemo)33 b(tvrdnju.)3324 702
y FI(Q.E.D.)57 870 y FH(T)-8 b(ak)m(od)p 285 818 30 2
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b(lok)-5 b(alizacije)33 b(proizlazi)g(direktno)h(iz)f(de\014nicije.)
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FH(P)1696 1240 y FF(d)1741 1276 y Fw(.)p 3632 1319 30
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FF(n)2863 1732 y Fw(k)m(on)m(v)m(ergira)37 b(slab)s(o)52
b FE(\003)-165 1850 y Fw(\(v)-5 b(ague\))32 b(k)h(mjeri)g
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b FB(')28 b FE(2)g FH(C)1597 1865 y FC(0)1640 1850 y
FH(\()p FI(R)1762 1814 y FC(1+)p FF(d)1903 1850 y FH(\))1317
2068 y FE(h)p FA(\027)7 b FB(;)17 b(')p FE(i)27 b FH(=)h
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FB(;)-165 2286 y Fw(gdje)32 b(je)h FA(\026)f Fw(parab)s(oli)m(\024)-46
b(ck)-5 b(a)32 b(H-mjera)h(pridru)m(\024)-46 b(zena)33
b(\(p)s(o)s(d\)nizu)g FH(\()p FL(u)2177 2301 y FF(n)2228
2286 y FH(\))p Fw(.)-165 2430 y FL(Dem.)93 b FH(Korolar)31
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b(te)h(k)m(ori)-5 b(\024)-44 b(stenjem)35 b(Planc)m(herelo)m(v)m(e)g
(form)m(ule.)3324 2549 y FI(Q.E.D.)57 2717 y FH(T)-8
b(ak)m(od)p 285 2665 V 1 w(er,)33 b(jednak)m(o)g(k)-5
b(ao)32 b(u)h(prv)m(om)h(p)s(ogla)m(vlju)e(dok)-5 b(azuje)33
b(se)h(i)e(sljede)m(\023)-46 b(ca)34 b(lema.)-165 2886
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2849 y FF(r)1972 2886 y FH(\))p Fw(,)49 b(te)d FA(\026)f
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3004 y(T)-8 b(ada)41 b(je)g(i)g(niz)h FH(\()p 476 2948
51 4 v FL(u)526 3019 y FF(n)576 3004 y FH(\))c Fw(\024)-46
b(cist)42 b(s)g(pripadnom)f(parab)s(oli)m(\024)-46 b(ck)m(om)42
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FD(>)568 3123 y FH(\()p FB(t;)17 b FI(x)p FB(;)g FE(\000)p
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3648 y(tenzorsk)m(og)35 b(pro)s(dukta)f(u)g(C)901 3663
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b(cno)35 b(dimenzionalne\))i(mnogostru-)-165 4172 y(k)m(osti)g(klase)g
FH(C)387 4136 y FC(0)430 4172 y Fw(,)g(te)f FB(B)41 b
Fw(neprekidna)d(bilinearna)f(forma)e(na)h FH(C)2181 4187
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b(funk)m(cije)h FB(f)52 b Fw(i)41 b FB(g)j Fw(vrijedi)e(da)f(je)g
FB(B)5 b FH(\()p FB(f)g(;)17 b(g)t FH(\))41 b Fr(>)i
FH(0)p Fw(,)g(tada)d(p)s(osto)5 b(ji)41 b(\(p)s(ozitivna\))h(Radono)m
(v)-5 b(a)-165 4410 y(mjera)40 b FB(m)g Fw(na)g FB(X)35
b FE(\002)27 b FB(Y)61 b Fw(takv)-5 b(a)40 b(da)g(je)g
FB(B)5 b FH(\()p FB(f)g(;)17 b(g)t FH(\))39 b(=)h FE(h)p
FB(m;)17 b(f)38 b Fr(\002)28 b FB(g)t FE(i)39 b Fw(za)h(sv)-5
b(aki)40 b FB(f)51 b FE(2)41 b FH(C)2856 4425 y FC(0)2899
4410 y FH(\()p FB(X)8 b FH(\))39 b Fw(i)h FB(g)k FE(2)c
FH(C)3437 4425 y FC(0)3480 4410 y FH(\()p FB(Y)21 b FH(\))p
Fw(.)-165 4528 y(Drugim)28 b(rije)m(\024)-46 b(cima)29
b(Radono)m(v)-5 b(a)29 b(mjera)f(na)h FB(X)22 b FE(\002)14
b FB(Y)51 b Fw(je)28 b(o)s(dred)p 2013 4477 30 2 v 1
w(ena)h(sv)m(o)5 b(jim)30 b(djelo)m(v)-5 b(anjem)30 b(na)e(funk)m
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b FB(g)t Fw(,)32 b FB(f)38 b FE(2)28 b FH(C)660 4662
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%%Page: 47 53
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%%Page: 48 54
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eop end
%%Page: 49 55
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FE(g)1083 3006 y FH(:=)e FE(f)p FB(u)g FE(2)h(S)1507
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2965 y FC(2)2643 3006 y FH(\()p FI(R)2765 2965 y FC(1+)p
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b(sk)-5 b(alarnim)34 b(pro)s(duktom)f(de\014niranim)g(relacijom)452
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3546 y FC(L)3227 3525 y Fv(2)3264 3546 y FC(\()p Ft(R)3360
3525 y Fv(1+)p Fs(d)3483 3546 y FC(\))71 3729 y FH(no)m(v)m(ouv)m
(edeni)35 b(prostori)e(su)g(Hilb)s(erto)m(vi.)246 3848
y(Lak)m(o)22 b(se)g(pro)m(vjeri)h(da)e(je)h(za)g FB(s)11
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b(H)1963 3811 y FD(\000)2034 3781 y Fs(s)p 2033 3795
34 4 v 2033 3837 a Fv(2)2080 3848 y FH(\()p FI(R)2202
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b(zen)23 b(u)f(H)3336 3811 y FD(\000)3407 3781 y Fs(s)p
3405 3795 V 3405 3837 a Fv(2)3448 3811 y FF(;)p FD(\000)p
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4000 y FH(\))f(in)m(tegral)1522 3919 y Fu(R)1569 4034
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FC(^)-43 b FF(u)q FC(\()p FF(\034)t(;)p Fp(\030)r FC(\))p
FD(j)2276 3918 y Fv(2)p 1789 3977 765 4 v 1789 4063 a
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4063 y FC(+\(2)p FF(\031)s FD(j)p Fp(\030)r FD(j)p FC(\))2430
4042 y Fv(4)2467 4063 y FC(\))2508 4006 y Fs(s)p 2507
4015 34 3 v 2507 4055 a Fv(2)2564 4000 y FB(d\034)i(d)p
FA(\030)29 b FH(je)f(k)m(ona)m(\024)-46 b(can,)28 b(pa)f(tvrdnja)g
(sli-)71 4159 y(jedi)33 b(iz)g(nejednak)m(osti)631 4307
y Fu( )1200 4410 y FH(1)p 720 4454 1009 4 v 747 4521
a Fv(4)725 4474 y Fu(p)p 825 4474 904 4 v 86 x FH(1)22
b(+)g(\(2)p FB(\031)t(\034)11 b FH(\))1231 4532 y FC(2)1296
4560 y FH(+)22 b(\(2)p FB(\031)t FE(j)p FA(\030)s FE(j)p
FH(\))1688 4532 y FC(4)1739 4307 y Fu(!)1817 4329 y FF(s)1885
4477 y Fr(6)28 b FH(2)2056 4307 y Fu( )2622 4410 y FH(1)p
2144 4454 1004 4 v 2144 4474 a Fu(p)p 2244 4474 904 4
v 86 x FH(1)22 b(+)g(\(2)p FB(\031)t(\034)11 b FH(\))2650
4532 y FC(2)2715 4560 y FH(+)22 b(\(2)p FB(\031)t FE(j)p
FA(\030)s FE(j)p FH(\))3107 4532 y FC(2)3158 4307 y Fu(!)3248
4298 y Fs(s)p 3247 4312 34 4 v 3247 4354 a Fv(2)3310
4477 y FB(:)71 4784 y FI(T)-9 b(eorem)48 b(2.)56 b(\(Lok)-6
b(alizacijsk)m(o)49 b(sv)m(o)6 b(jstv)m(o\))42 b Fw(Nek)-5
b(a)42 b(niz)g(funk)m(cija)h FL(u)2717 4799 y FF(n)2810
4784 y FB(*)g FH(0)e Fw(u)h FH(L)3198 4748 y FC(2)3240
4784 y FH(\()p FI(R)3362 4748 y FC(1+)p FF(d)3504 4784
y FH(;)17 b FI(C)3629 4748 y FF(r)3670 4784 y FH(\))o
Fw(,)44 b(pri)68 4903 y(\024)-46 b(cem)m(u)45 b(su)f(pro)5
b(jek)m(cije)46 b(nosa)m(\024)-46 b(ca)44 b FB(u)1308
4918 y FF(n)1401 4903 y Fw(na)g FI(R)1632 4918 y FF(t)1707
4903 y Fw(sadr)m(\024)-46 b(zane)45 b(u)f(\014ksnom)h(k)m(ompaktnom)g
(skupu.)78 b(Nadalje,)71 5022 y(nek)-5 b(a)71 5227 y
FH(\(9\))901 5135 y Fu(p)p 1000 5135 84 4 v 1000 5227
a FB(@)1051 5242 y FF(t)1084 5227 y FH(\()p FL(b)22 b
FE(\001)f FL(u)1293 5242 y FF(n)1344 5227 y FH(\))h(+)g
FL(div)1637 5242 y Ft(x)1688 5227 y FH(\()p FI(A)p FL(u)1861
5242 y FF(n)1911 5227 y FH(\))28 b FE(!)f FH(0)97 b(u)h(H)2475
5186 y FD(\000)2545 5155 y Fv(1)p 2545 5169 34 4 v 2545
5211 a(2)2588 5186 y FF(;)p FD(\000)p FC(1)2712 5227
y FH(\()p FI(R)2834 5186 y FC(1+)p FF(d)2975 5227 y FH(\))28
b FB(;)71 5432 y Fw(gdje)36 b(je)g FL(b)d FE(2)h FH(C)645
5450 y FF(b)682 5432 y FH(\()p FI(R)804 5396 y FC(1+)p
FF(d)946 5432 y FH(;)17 b FI(C)1071 5396 y FF(r)1111
5432 y FH(\))p FB(;)g FI(A)33 b FE(2)g FH(C)1480 5450
y FF(b)1518 5432 y FH(\()p FI(R)1640 5396 y FC(1+)p FF(d)1781
5432 y FH(;)17 b FI(M)1931 5450 y FF(d)p FD(\002)p FF(r)2072
5432 y FH(\()p FI(C)p FH(\)\))p Fw(,)36 b(dok)h(je)2629
5347 y FE(p)p 2712 5347 57 4 v 85 x FB(@)2769 5447 y
FF(t)2837 5432 y Fw(pseudo)s(diferencijalni)h(op)s(e-)71
5551 y(rator)32 b(s)h(p)s(olihomogenim)g(sim)m(b)s(olom)1505
5468 y FE(p)p 1588 5468 195 4 v 83 x FH(2)p FB(\031)t(i\034)12
b Fw(,)32 b(i.e.)1435 5690 y FE(p)p 1518 5690 57 4 v
89 x FB(@)1575 5794 y FF(t)1607 5779 y FB(u)27 b FH(=)p
1794 5699 82 4 v 28 w FE(F)1892 5669 y Fu(\020)1951 5692
y FE(p)p 2034 5692 195 4 v 87 x FH(2)p FB(\031)t(i\034)34
b FH(^)-55 b FB(u)p FH(\()p FB(\034)11 b FH(\))2430 5669
y Fu(\021)2506 5779 y FB(:)3770 6010 y Fz(49)p eop end
%%Page: 50 56
TeXDict begin 50 55 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-165 83 y Fw(T)-8
b(ada)32 b(za)h(parab)s(oli)m(\024)-46 b(cku)33 b(H-mjeru)g
FA(\026)f Fw(pridru)m(\024)-46 b(zen)m(u)34 b(nizu)g
FH(\()p FL(u)2015 98 y FF(n)2065 83 y FH(\))e Fw(vrijedi)i(da)e(je)1106
261 y FA(\026)1177 220 y FD(>)1257 151 y Fu(\020)1316
174 y FE(p)p 1399 174 195 4 v 87 x FH(2)p FB(\031)t(i\034)c
FL(b)23 b FH(+)f(2)p FB(\031)t(i)p FI(A)2007 220 y FD(>)2070
261 y FA(\030)2124 151 y Fu(\021)2211 261 y FH(=)27 b
FL(0)p FB(:)-165 440 y Fw(Drugim)48 b(rije)m(\024)-46
b(cima,)53 b(stup)s(ci)d(matrice)f FA(\026)f Fw(\(u)h(oznaci)g
FA(\026)1945 404 y FF(m)2017 440 y FB(;)17 b(m)55 b FH(=)g(1)p
FB(;)17 b(:)g(:)g(:)e(;)i(r)s Fw(\))48 b(su)h(ok)m(omiti)h(na)e(v)m
(ektor)-165 475 y FE(p)p -82 475 V 83 x FH(2)p FB(\031)t(i\034)28
b FL(b)22 b FH(+)g(2)p FB(\031)t(i)p FI(A)525 522 y FD(>)588
558 y FA(\030)s Fw(.)-165 694 y FL(Dem.)105 b FH(P)m(ok)-5
b(a)m(\024)-46 b(zimo)38 b(na)5 b(jprije)37 b(da)g(analogon)f(relacije)
i(\(9\))e(vrijedi)i(i)f(za)g(lok)-5 b(alizirani)37 b(niz)g(\()p
FB(\036)p FL(u)3332 709 y FF(n)3382 694 y FH(\),)h(gdje)-165
813 y(je)48 b FB(\036)53 b FE(2)h FH(C)257 777 y FD(1)257
838 y FF(c)339 813 y FH(\()p FI(R)461 777 y FC(1+)p FF(d)602
813 y FH(\).)90 b(Pretp)s(osta)m(vimo)49 b(na)5 b(jprije)48
b(da)g(funk)m(cija)h FB(\036)e FH(ne)i(o)m(visi)g(o)f
FB(t)p FH(,)k(o)s(dnosno)47 b(da)h(je)-165 932 y FB(\036)27
b FE(2)h FH(C)84 896 y FD(1)84 956 y FF(c)166 932 y FH(\()p
FI(R)288 896 y FF(d)331 932 y FH(\).)43 b(U)33 b(tom)g(slu)m(\024)-46
b(ca)5 b(ju)33 b(je)232 1020 y FE(p)p 315 1020 57 4 v
90 x FB(@)372 1125 y FF(t)403 1110 y FH(\()p FL(b)23
b FE(\001)e FB(\036)p FL(u)671 1125 y FF(n)722 1110 y
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FI(A)p FB(\036)p FL(u)1297 1125 y FF(n)1347 1110 y FH(\))27
b(=)h FB(\036)1591 1000 y Fu(\020)1650 1020 y FE(p)p
1733 1020 V 90 x FB(@)1789 1125 y FF(t)1821 1110 y FH(\()p
FL(b)22 b FE(\001)g FL(u)2031 1125 y FF(n)2082 1110 y
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FI(A)p FL(u)2599 1125 y FF(n)2649 1110 y FH(\))2687 1000
y Fu(\021)2769 1110 y FH(+)g FE(r)p FB(\036)g FE(\001)f
FI(A)p FL(u)3214 1125 y FF(n)-165 1318 y FH(Kak)m(o)j(niz)i(\()p
FB(u)325 1333 y FF(n)375 1318 y FH(\))e(k)m(on)m(v)m(ergira)j(slab)s(o)
d(u)h(L)1288 1282 y FC(2)1331 1318 y FH(\()p FI(R)1453
1282 y FC(1+)p FF(d)1594 1318 y FH(\),)i(to)d(zadnji)e(\024)-46
b(clan)25 b(k)m(on)m(v)m(ergira)i(jak)m(o)d(u)h(H)3096
1282 y FD(\000)3166 1251 y Fv(1)p 3166 1265 34 4 v 3166
1307 a(2)3209 1282 y FF(;)p FD(\000)p FC(1)3333 1318
y FH(\()p FI(R)3455 1282 y FC(1+)p FF(d)3596 1318 y FH(\).)-155
1411 y(\024)-165 1437 y(Clan)g(uz)h FB(\036)f FH(k)m(on)m(v)m(ergira)i
(u)e(istom)h(prostoru)f(p)s(o)g(pretp)s(osta)m(v)m(ci)i(teorema,)g(te)e
(je)h(tim)f(tvrdnja)g(dok)-5 b(azana.)57 1555 y(Uzmimo)23
b(sad)g(proizv)m(oljni)g FB(\036)28 b FE(2)g FH(C)1317
1519 y FD(1)1317 1580 y FF(c)1398 1555 y FH(\()p FI(R)1520
1519 y FC(1+)p FF(d)1662 1555 y FH(\).)40 b(Pritom)23
b(funk)m(ciju)g FB(\036)g FH(mo)m(\024)-46 b(zemo)23
b(pisati)g(k)-5 b(ao)22 b FB(\036)27 b FH(=)h FB(\036')p
FH(,)-165 1674 y(gdje)g(je)h FB(')e FE(2)h FH(C)396 1638
y FD(1)396 1699 y FF(c)478 1674 y FH(\()p FI(R)600 1638
y FF(d)643 1674 y FH(\))g(sa)h(sv)m(o)5 b(jstv)m(om)31
b(da)d(je)g FB(')g FH(=)f(1)h(na)h(pro)5 b(jek)m(ciji)30
b(nosa)m(\024)-46 b(ca)28 b(funk)m(cije)i FB(\036)e FH(na)g
FI(R)3310 1638 y FF(d)3354 1674 y FH(.)42 b(Stoga)-165
1793 y(je)-143 1949 y FE(k)-93 1859 y(p)p -10 1859 57
4 v 90 x FB(@)47 1964 y FF(t)79 1949 y FH(\()p FL(b)22
b FE(\001)g FB(\036)p FL(u)347 1964 y FF(n)397 1949 y
FH(\))6 b(+)g FL(div)657 1964 y Ft(x)708 1949 y FH(\()p
FI(A)p FB(\036)p FL(u)939 1964 y FF(n)989 1949 y FH(\))p
FE(k)1076 2009 y FC(H)1134 1974 y Fq(\000)1196 1952 y
Fv(1)p 1196 1961 34 3 v 1196 2001 a(2)1239 1974 y Fs(;)p
Fq(\000)p Fv(1)1348 2009 y FC(\()p Ft(R)1444 1988 y Fv(1+)p
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y Fu(\020)239 2153 y Fv(4)217 2077 y Fu(q)p 316 2077
904 4 v 316 2198 a FH(1)22 b(+)g(\(2)p FB(\031)t(\034)11
b FH(\))722 2169 y FC(2)787 2198 y FH(+)22 b(\(2)p FB(\031)t
FE(j)p FA(\030)s FE(j)p FH(\))1179 2169 y FC(4)1220 2087
y Fu(\021)1279 2109 y FD(\000)p FC(1)1349 2087 y Fu(\020)1408
2110 y FE(p)p 1491 2110 195 4 v 88 x FH(2)p FB(\031)t(i\034)11
b FE(F)f FH(\()p FB(\036)p FL(b)22 b FE(\001)g FL(u)2035
2213 y FF(n)2085 2198 y FH(\))g(+)g(2)p FB(\031)t(i)p
FA(\030)s FE(F)10 b FH(\()p FB(\036)p FI(A)p FL(u)2751
2213 y FF(n)2800 2198 y FH(\))2838 2087 y Fu(\021)2914
2198 y FE(k)2964 2267 y FC(L)3012 2245 y Fv(2)3049 2267
y FC(\()p Ft(R)3145 2245 y Fv(1+)p Fs(d)3268 2267 y FC(\))-2
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2334 y Fu(q)p 318 2334 735 4 v 121 x FH(\(2)p FB(\031)t(\034)11
b FH(\))555 2426 y FC(2)620 2455 y FH(+)22 b(\(2)p FB(\031)t
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2367 y FE(p)p 1324 2367 195 4 v 88 x FH(2)p FB(\031)t(i\034)11
b FE(F)f FH(\()p FB(\036)p FL(b)22 b FE(\001)f FL(u)1867
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2470 y FF(n)2633 2455 y FH(\))2671 2344 y Fu(\021)2747
2455 y FE(k)2797 2524 y FC(L)2845 2502 y Fv(2)2882 2524
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y FH(\()p FB(\036')p FL(b)22 b FE(\001)g FL(u)589 2665
y FF(n)639 2650 y FH(\))g(+)g FB(P)860 2665 y FC(2)903
2650 y FH(\()p FB(\036')p FI(A)p FL(u)1198 2665 y FF(n)1247
2650 y FH(\))p FE(k)1335 2680 y FC(L)1383 2658 y Fv(2)1420
2680 y FC(\()p Ft(R)1516 2658 y Fv(1+)p Fs(d)1639 2680
y FC(\))-2 2806 y FH(=)28 b FE(k)p FB(\036)17 b FH(\()o
FB(P)327 2821 y FC(1)369 2806 y FH(\()p FB(')p FL(b)22
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FB(P)915 2821 y FC(2)957 2806 y FH(\()p FB(')p FI(A)p
FL(u)1194 2821 y FF(n)1244 2806 y FH(\)\))17 b FE(k)1386
2835 y FC(L)1434 2814 y Fv(2)1472 2835 y FC(\()p Ft(R)1568
2814 y Fv(1+)p Fs(d)1691 2835 y FC(\))1747 2806 y FH(+)22
b FE(k)p FH([)p FB(P)1985 2821 y FC(1)2027 2806 y FB(;)17
b(\036)p FH(]\()p FB(')p FL(b)22 b FE(\001)f FL(u)2429
2821 y FF(n)2480 2806 y FH(\))h(+)g([)p FB(P)2728 2821
y FC(2)2771 2806 y FB(;)17 b(\036)p FH(]\()p FB(')p FI(A)p
FL(u)3137 2821 y FF(n)3186 2806 y FH(\))p FE(k)3274 2835
y FC(L)3322 2814 y Fv(2)3359 2835 y FC(\()p Ft(R)3455
2814 y Fv(1+)p Fs(d)3578 2835 y FC(\))3612 2806 y FB(;)-165
2981 y FH(gdje)34 b(su)h(s)f FB(P)307 2996 y FC(1)350
2981 y FB(;)17 b(P)457 2996 y FC(2)533 2981 y FH(redom)34
b(ozna)m(\024)-46 b(ceni)35 b(op)s(eratori)f(pridru)m(\024)-46
b(zeni)36 b(sim)m(b)s(olima)f FB(p)2636 2996 y FC(1)2678
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3123 y FB(p)-116 3138 y FC(1)-54 3123 y FH(=)51 3020
y FD(p)p 115 3020 154 4 v 63 x FC(2)p FF(\031)s(i\034)p
51 3100 218 4 v 60 3160 a(\032)p FC(\()p FF(\034)t(;)p
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3123 y FH(=)613 3077 y FC(2)p FF(\031)s(i)p Fp(\030)p
589 3100 200 4 v 589 3160 a FF(\032)p FC(\()p FF(\034)t(;)p
Fp(\030)r FC(\))799 3123 y FH(.)59 b(Na)37 b(osno)m(vu)i(Prv)m(e)g(k)m
(om)m(utacijsk)m(e)h(leme)f(k)m(om)m(utatori)f(u)g(zadnjo)5
b(j)38 b(relaciji)-165 3275 y(su)g(k)m(ompaktni)g(op)s(eratori)f(na)g
(L)1080 3239 y FC(2)1123 3275 y FH(\()p FI(R)1245 3239
y FC(1+)p FF(d)1387 3275 y FH(\),)h(te)g(stoga)f(zadnja)g(dv)-5
b(a)35 b(\024)-46 b(clana)37 b(k)m(on)m(v)m(ergira)5
b(ju)39 b(jak)m(o)f(k)g(n)m(uli)-165 3394 y(u)43 b(L)-7
3357 y FC(2)36 3394 y FH(\()p FI(R)158 3357 y FC(1+)p
FF(d)299 3394 y FH(\).)76 b(Kak)m(o)43 b(niz)h(\()p FB(')p
FL(u)1025 3409 y FF(n)1076 3394 y FH(\))f(ima)g(uniforman)h(k)m
(ompaktan)g(nosa)m(\024)-46 b(c)44 b(u)g FI(R)2813 3357
y FC(1+)p FF(d)2954 3394 y FH(,)j(te)c(k)-5 b(ak)m(o)44
b(p)s(o)f(pr-)-165 3512 y(v)m(om)32 b(dijelu)g(dok)-5
b(aza)31 b(on)g(zado)m(v)m(olja)m(v)-5 b(a)32 b(pretp)s(osta)m(vku)h
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y Fz(50)p eop end
%%Page: 51 57
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%%Page: 52 58
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%%Page: 53 59
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v 1926 3004 a FE(j)p FA(\030)s FE(j)2036 2975 y FC(2)2126
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409 4 v 1904 3536 a FH(2)p FB(\031)t(i)p FE(j)p FA(\030)s
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3732 y FH(Uvr)-5 b(\024)-44 b(sta)m(v)-5 b(anjem)34 b(relacija)f
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FA(\026)f FH(vrijedi)1056 3938 y FB(\030)1099 3953 y
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b(an)33 b(p)s(olo)m(v)-5 b(a)33 b FA(\030)d FH(=)d FL(0)p
FH(,)33 b(to)f(je)1451 4351 y(\()p FB(\034)h FE(\000)23
b FH(2)p FB(\031)t(i)p FI(A)1890 4310 y FD(>)1953 4351
y FA(\030)i FE(\001)d FA(\030)s FH(\))p FL(tr)q FA(\026)27
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b(j)44 b(zagradi)h(uvijek)h(razli)m(\024)-46 b(cit)46
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b(da)f(je)g(mjera)g FA(\026)71 4676 y FH(trivijalna,)50
b(o)s(dnosno,)g(da)c(homogena)h(jednad)m(\024)-46 b(zba)47
b(pro)m(v)m(od)p 2321 4624 30 2 v 2 w(enja)f(ne)h(dozv)m(olja)m(v)-5
b(a)42 b(\024)-44 b(sirenje)48 b(p)s(o)m(\024)-46 b(cetnih)71
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b(j)37 b(rezultat)h(je)f(o)m(\024)-46 b(cit)38 b(u)f(slu)m(\024)-46
b(ca)5 b(ju)39 b(k)m(onstan)m(tnih)g(k)m(o)s(e\014cijenata)f(\(matrice)
g FI(A)p FH(\),)g(jer)f(iz)71 4913 y(regularnosti)31
b(rje)-5 b(\024)-44 b(senja)31 b(zada)m(\023)-46 b(ce)32
b(\(11\))e(slijedi)h(da)g FE(r)p FB(u)2029 4928 y FF(n)2106
4913 y FE(!)d FL(0)i FH(jak)m(o)h(u)g(L)2666 4877 y FC(2)2666
4945 y(lo)r(c)2766 4913 y FH(\()p FI(R)2888 4877 y FC(+)2973
4913 y FE(\002)23 b FI(R)3157 4877 y FF(d)3200 4913 y
FH(\).)43 b(Med)p 3460 4861 V 1 w(utim,)32 b(k)-5 b(ao)71
5032 y(i)34 b(primjenom)g(originalnih)g(H-mjera,)g(k)m(ori)-5
b(\024)-44 b(stenjem)35 b(njiho)m(v)m(e)g(parab)s(oli)m(\024)-46
b(ck)m(e)35 b(v)-5 b(arijan)m(te)34 b(ta)5 b(j)33 b(je)h(rezultat)71
5151 y(p)s(o)s(op)m(\023)-46 b(cen)33 b(na)f(slu)m(\024)-46
b(ca)5 b(j)34 b(v)-5 b(arijabilnih)33 b(k)m(o)s(e\014cijenata.)293
5269 y(Nadalje,)g(uz)g(o)s(dgo)m(v)-5 b(ara)5 b(ju)m(\023)-46
b(ci)32 b(izb)s(or)h(indeksa)h(izraz)f(\(13\))f(p)s(oprima)g(oblik)1516
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b FH(~)-57 b FB(\026)1853 5445 y FF(j)t FC(0)1958 5486
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y FB(;)71 5692 y FH(o)s(dnosno)1528 5723 y FE(p)p 1612
5723 V 1612 5811 a FH(2)p FB(\031)t(i\034)19 b FH(~)-57
b FB(\026)1865 5770 y FF(ij)1958 5811 y FH(=)28 b(2)p
FB(\031)t(i\030)2246 5826 y FF(i)2284 5811 y FH(~)-57
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6010 y Fz(53)p eop end
%%Page: 54 60
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b(zimo)-165 222 y(s)p -94 119 278 4 v -94 139 a FE(p)p
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b(bismo)h(njiho)m(vim)h(zbra)5 b(janjem)34 b(dobili)1257
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401 y FF(ij)1626 443 y FH(=)27 b(\(2)p FB(\031)t FH(\))1913
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FB(\026)2127 800 y FC(0)2169 785 y FB(:)-165 964 y FH(Bira)5
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1442 y FC(0)3124 1427 y FH(=)k(0)45 b(za)h FA(\030)53
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b(cu)-165 2096 y(\(16\))1118 1955 y Fu(\032)1209 2022
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b(zen)m(u)37 b(uv)m(edenom)h(nizu,)e(k)m(o)5 b(ja)36
b(je)-165 2868 y(oblik)-5 b(a)1208 3082 y(~)1197 3083
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y FC(20)1751 3202 y FA(\026)1822 3217 y FC(21)2016 3202
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FB(v)2667 3356 y FC(0)2663 3417 y FF(n)2743 3392 y FH(=)2849
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y(A)2340 3764 y(1)2340 3944 y(A)2455 3965 y FH(=)27 b
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(omp)s(onen)m(tama)i(mjere)1998 4256 y(~)1987 4257 y
FA(\026)e FH(glasi)-165 4639 y(\(17\))841 4483 y FB(\026)900
4498 y FC(0)942 4395 y FE(p)p 1025 4395 V 88 x FH(2)p
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y FD(>)1761 4641 y FI(A)1846 4600 y FD(>)1910 4641 y
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5020 y FH(Nadalje,)h(isk)m(oristimo)g(o)s(dnose)f(med)p
1164 4968 30 2 v 1 w(u)g(k)m(omp)s(onen)m(tama)h(funk)m(cije)2313
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b(0)-165 5590 y(nam)k(da)5 b(je)33 b(da)g(je)611 5723
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%%Page: 55 61
TeXDict begin 55 60 bop 2763 -116 a Fx(P)n(arab)r(oli)n(\024)-39
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b(za)f FB(m)28 b FH(=)f(0)32 b(iz)h(toga)f(slijedi)71
303 y(\(19\))1543 215 y FE(p)p 1626 215 195 4 v 88 x
FH(2)p FB(\031)t(i\034)11 b FA(\026)1891 318 y FC(10)1999
303 y FH(=)28 b(2)p FB(\031)t(i\026)2303 318 y FC(0)2345
303 y FA(\030)s FB(;)71 523 y FH(dok)33 b(uzima)5 b(ju)m(\023)-46
b(ci)34 b FB(m)28 b FH(=)f(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d)32
b FH(dobijemo)h(da)f(je)1933 440 y FE(p)p 2016 440 V
83 x FH(2)p FB(\031)t(i\034)12 b(\026)2270 487 y FF(j)t(m)2404
523 y FH(=)28 b(2)p FB(\031)t(i\030)2692 538 y FF(j)2731
523 y FB(\026)2790 487 y FF(m)2790 551 y FC(01)2871 523
y FB(;)17 b(j)33 b FH(=)28 b(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d;)32
b FH(o)s(dnosno)71 758 y(\(20\))1497 670 y FE(p)p 1580
670 V 88 x FH(2)p FB(\031)t(i\034)12 b FA(\026)27 b FH(=)g(2)p
FB(\031)t(i)p FA(\030)e FE(\012)e FA(\026)2364 717 y
FD(>)2364 783 y FC(01)2444 758 y FB(;)71 978 y FH(iz)32
b(\024)-46 b(cega)34 b(slijedi)h(da)f(je)g(mjera)g FA(\026)g
FH(no)-5 b(\024)-44 b(sena)35 b(izv)-5 b(an)34 b(p)s(olo)m(v)-5
b(a)34 b(plohe)h(P)2510 942 y FF(d)2554 978 y FH(.)48
b(Matri)m(\024)-46 b(cnim)35 b(mno)m(\024)-46 b(zenjem)36
b(zadnje)71 1097 y(jednak)m(osti)e(slijev)-5 b(a)33 b(s)g
FA(\030)953 1061 y FD(>)1049 1097 y FH(slijedi)71 1384
y(\(21\))1154 b FA(\026)1470 1399 y FC(01)1578 1384 y
FH(=)1692 1234 y FE(p)p 1775 1234 V 83 x FH(2)p FB(\031)t(i\034)11
b FA(\030)2023 1281 y FD(>)2087 1317 y FA(\026)p 1692
1361 466 4 v 1806 1453 a FH(2)p FB(\031)t(i)p FA(\030)2001
1424 y FC(2)2167 1384 y FB(;)115 b FA(\030)30 b FE(6)p
FH(=)d FL(0)p FB(:)71 1651 y FH(Analogno)32 b(za)h FB(m)28
b FH(=)f FB(d)22 b FH(+)g(1)p FB(;)17 b(:)g(:)g(:)f(;)h
FH(2)p FB(d)31 b FH(dobije)i(se)h(da)e(je)71 1938 y(\(22\))1114
b FA(\026)1430 1953 y FC(02)1538 1938 y FH(=)1651 1788
y FE(p)p 1734 1788 195 4 v 83 x FH(2)p FB(\031)t(i\034)12
b FA(\030)1983 1835 y FD(>)2046 1871 y FA(\026)2117 1886
y FC(12)p 1651 1915 547 4 v 1806 2007 a FH(2)p FB(\031)t(i)p
FA(\030)2001 1978 y FC(2)2208 1938 y FB(;)114 b FA(\030)30
b FE(6)p FH(=)e FL(0)p FB(:)71 2247 y FH(Nadalje,)37
b(k)m(onjugiranjem)h(jednak)m(osti)g(\(19\),)e(mno)m(\024)-46
b(zenjem)38 b(\(20\))e(s)p 2610 2144 278 4 v 2610 2164
a FE(p)p 2693 2164 195 4 v 83 x FH(2)p FB(\031)t(i\034)11
b FH(,)38 b(te)e(k)m(ori)-5 b(\024)-44 b(stenjem)39 b(relacije)p
71 2309 71 4 v 71 2365 a FA(\026)141 2389 y FC(10)250
2365 y FH(=)28 b FA(\026)425 2329 y FD(>)425 2393 y FC(01)505
2365 y FH(,)33 b(slijedi)g(da)g(je)71 2585 y(\(23\))1268
b FE(j)p FH(2)p FB(\031)t(\034)11 b FE(j)p FA(\026)27
b FH(=)g(4)p FB(\031)2039 2544 y FC(2)2081 2585 y FB(\026)2140
2600 y FC(0)2199 2585 y FA(\030)e FE(\012)e FA(\030)s
FB(:)71 2805 y FH(Sli)m(\024)-46 b(cno)31 b(k)-5 b(ao)30
b(za)g(relaciju)h(\(18\),)f(primjena)h(lok)-5 b(alizacijsk)m(og)31
b(sv)m(o)5 b(jstv)-5 b(a)32 b(na)e(Sc)m(h)m(w)m(arzo)m(v)m(e)j
(relacije)43 b FB(@)3676 2820 y FF(i)3707 2805 y FB(v)3754
2820 y FF(j)3822 2805 y FH(=)71 2924 y FB(@)122 2939
y FF(j)162 2924 y FB(v)209 2939 y FF(i)240 2924 y FB(;)33
b(i;)17 b(j)34 b FH(=)27 b(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d)32
b FH(da)5 b(je)33 b(da)f(je)71 3154 y(\(24\))702 b FB(\030)990
3169 y FF(i)1028 3154 y FH(~)-57 b FB(\026)1079 3113
y FF(j)t(m)1214 3154 y FH(=)27 b FB(\030)1360 3169 y
FF(j)1407 3154 y FH(~)-56 b FB(\026)1459 3113 y FF(im)1557
3154 y FB(;)114 b(i;)17 b(j)33 b FH(=)28 b(1)p FB(;)17
b(:)g(:)g(:)f(;)h(d;)113 b(m)28 b FH(=)g(0)p FB(;)17
b(:)g(:)g(:)e(;)i FH(2)p FB(d:)71 3374 y FH(P)m(osebno,)38
b(uzima)5 b(ju)m(\023)-46 b(ci)38 b FB(m)33 b FH(=)h(1)p
FB(;)17 b(:)g(:)g(:)e(;)i(d)36 b FH(u)g(zadnjo)5 b(j)36
b(relaciji,)h(dobije)g(se)f(k)-5 b(ao)36 b(i)g(u)g(homogenom)g(slu)m
(\024)-46 b(ca)5 b(ju)71 3493 y(da)32 b(je)h(mjera)g
FA(\026)f FH(oblik)-5 b(a)71 3758 y(\(25\))1243 b FA(\026)27
b FH(=)1699 3691 y FA(\030)e FE(\012)e FA(\030)p 1699
3735 230 4 v 1738 3827 a FE(j)p FA(\030)s FE(j)1848 3798
y FC(2)1938 3758 y FL(tr)r FA(\026)p FB(;)114 b FA(\030)30
b FE(6)p FH(=)e FL(0)p FB(:)71 4036 y FH(Nadalje,)33
b(uzima)5 b(ju)m(\023)-46 b(ci)34 b FB(m)28 b FH(=)f
FB(d)22 b FH(+)g(1)p FB(;)17 b(:)g(:)g(:)f(;)h FH(2)p
FB(d)31 b FH(u)i(\(24\))f(dobijemo)h(da)g(je)1284 4271
y FB(\030)1327 4286 y FF(i)1357 4271 y FB(\026)1416 4222
y FF(j)t(k)1416 4301 y FC(12)1526 4271 y FH(=)27 b FB(\030)1672
4286 y FF(j)1712 4271 y FB(\026)1771 4230 y FF(ik)1771
4296 y FC(12)1851 4271 y FB(;)115 b(i;)17 b(j;)g(k)31
b FH(=)c(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d:)71 4491 y FH(Sta)m(vlja)5
b(ju)m(\023)-46 b(ci)31 b(p)s(osebno)f FB(k)h FH(=)d
FB(i)p FH(,)i(te)g(zbra)5 b(ja)g(ju)m(\023)-46 b(ci)31
b(gornji)f(izraz)g(p)s(o)f FB(i)h FH(dobije)h(se)f(da)g(je)g(\()p
FA(\026)3224 4506 y FC(12)3304 4491 y FA(\030)s FH(\))3396
4506 y FF(j)3463 4491 y FH(=)e FB(\030)3610 4506 y FF(j)3649
4491 y FL(tr)r FA(\026)3790 4506 y FC(12)3871 4491 y
FH(,)71 4610 y(o)s(dnosno)71 4830 y(\(26\))1382 b FA(\026)1698
4845 y FC(12)1779 4830 y FA(\030)30 b FH(=)e(\()p FL(tr)q
FA(\026)2142 4845 y FC(12)2223 4830 y FH(\))p FA(\030)s
FB(:)71 5050 y FH(Konjugiranjem)k(pak)h(slijedi)h(sli)m(\024)-46
b(can)34 b(izraz)f(za)f(mjeru)h FA(\026)2183 5065 y FC(21)2264
5050 y FH(:)71 5270 y(\(27\))1382 b FA(\026)1698 5229
y FD(>)1698 5295 y FC(21)1779 5270 y FA(\030)30 b FH(=)e(\()p
FL(tr)q FA(\026)2142 5285 y FC(21)2223 5270 y FH(\))p
FA(\030)s FB(:)71 5490 y FH(Uvr)-5 b(\024)-44 b(sta)m(v)-5
b(anjem)34 b(izraza)f(\(21\))f(i)g(\(25\))g(u)h(\(17)1668
5505 y FC(2)1710 5490 y FH(\),)f(dobijemo)i(da)e(je)1025
5689 y(1)p 1001 5734 97 4 v 1001 5825 a FA(\030)1055
5796 y FC(2)1124 5646 y Fu(\020)1184 5757 y FB(\034)h
FE(\000)23 b FH(2)p FB(\031)t(i)p FI(A)1585 5715 y FD(>)1648
5757 y FA(\030)i FE(\001)d FA(\030)1828 5646 y Fu(\021)1904
5757 y FA(\030)s FL(tr)q FA(\026)27 b FH(=)h(2)p FB(\031)t(i)p
FA(\026)2441 5715 y FD(>)2441 5781 y FC(21)2521 5757
y FA(\030)s FB(;)114 b FA(\030)31 b FE(6)p FH(=)c FL(0)p
FB(:)3770 6010 y Fz(55)p eop end
%%Page: 56 62
TeXDict begin 56 61 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-165 83 y FH(Sk)-5
b(alarnim)33 b(mno)m(\024)-46 b(zenjem)34 b(zadnje)f(jednak)m(osti)h(s)
f FA(\030)s FH(,)f(te)h(k)m(ori)-5 b(\024)-44 b(stenjem)34
b(\(27\))e(slijedi)i(da)e(je)-165 332 y(\(28\))980 221
y Fu(\020)1039 332 y FB(\034)i FE(\000)23 b FH(2)p FB(\031)t(i)p
FI(A)1441 291 y FD(>)1504 332 y FA(\030)i FE(\001)d FA(\030)1684
221 y Fu(\021)1759 332 y FL(tr)r FA(\026)27 b FH(=)h(2)p
FB(\031)t(i)p FA(\030)2226 291 y FC(2)2268 332 y FL(tr)r
FA(\026)2409 347 y FC(21)2489 332 y FB(:)-165 594 y FH(Analogno,)39
b(uvr)-5 b(\024)-44 b(sta)m(v)-5 b(anjem)40 b(izraza)e(\(22\))g(u)g
(\(17)1640 609 y FC(3)1682 594 y FH(\),)i(matri)m(\024)-46
b(cnim)39 b(mno)m(\024)-46 b(zenjem)40 b(slijev)-5 b(a)38
b(v)m(ektorom)i FA(\030)3571 558 y FD(>)3634 594 y FH(,)-165
713 y(te)32 b(k)m(ori)-5 b(\024)-44 b(stenjem)35 b(\(26\))d(dobijemo)h
(da)f(je)941 851 y Fu(\020)1001 962 y FB(\034)h FE(\000)23
b FH(2)p FB(\031)t(i)p FI(A)1402 921 y FD(>)1465 962
y FA(\030)i FE(\001)d FA(\030)1645 851 y Fu(\021)1721
962 y FL(tr)q FA(\026)1861 977 y FC(12)1970 962 y FH(=)27
b(2)p FB(\031)t(i)p FA(\026)2285 921 y FD(>)2285 988
y FF(f)2349 962 y FA(\030)d FE(\001)e FA(\030)s FB(;)-165
1205 y FH(o)s(dnosno)32 b(k)m(onjugiranjem)910 1338 y
Fu(\020)970 1449 y FB(\034)i FH(+)22 b(2)p FB(\031)t(i)p
FI(A)1370 1407 y FD(>)1433 1449 y FA(\030)j FE(\001)d
FA(\030)1613 1338 y Fu(\021)1688 1449 y FL(tr)r FA(\026)1829
1464 y FC(21)1937 1449 y FH(=)28 b FE(\000)p FH(2)p FB(\031)t(i)p
FA(\026)2330 1466 y FF(f)2379 1449 y FA(\030)d FE(\001)d
FA(\030)s FB(:)-165 1697 y FH(Kom)m(binira)5 b(ju)m(\023)-46
b(ci)26 b(zadnju)f(relaciju)h(s)f(\(28\))g(dobijemo)g(v)m(ezu)i(izmed)p
2221 1646 30 2 v 1 w(u)e(parab)s(oli)m(\024)-46 b(ck)m(e)26
b(H-mjere)g(pridru)m(\024)-46 b(zene)-165 1816 y(desno)5
b(j)33 b(strani)g(i)g(nep)s(oznate)g(mjere)h FA(\026)p
FH(:)1054 2097 y FL(tr)r FA(\026)27 b FH(=)1581 2029
y(\(2)p FB(\031)t FA(\030)s FH(\))1819 1993 y FC(2)p
1336 2074 771 4 v 1336 2166 a FB(\034)1389 2138 y FC(2)1454
2166 y FH(+)22 b(\(2)p FB(\031)t FI(A)1783 2138 y FD(>)1846
2166 y FA(\030)j FE(\001)c FA(\030)s FH(\))2063 2138
y FC(2)2116 2097 y FA(\026)2187 2114 y FF(f)2236 2097
y FA(\030)j FE(\001)e FA(\030)s FB(;)-165 2375 y FH(o)s(dnosno,)32
b(zb)s(og)h(\(25\),)-165 2661 y(\(29\))927 b FA(\026)28
b FH(=)1420 2594 y(\(2)p FB(\031)t FH(\))1604 2558 y
FC(2)p 1148 2639 V 1148 2731 a FB(\034)1201 2702 y FC(2)1266
2731 y FH(+)22 b(\(2)p FB(\031)t FI(A)1595 2702 y FD(>)1659
2731 y FA(\030)i FE(\001)e FA(\030)s FH(\))1876 2702
y FC(2)1928 2661 y FH(\()p FA(\026)2037 2679 y FF(f)2086
2661 y FA(\030)j FE(\001)d FA(\030)s FH(\))p FA(\030)i
FE(\012)f FA(\030)s FB(:)-165 2940 y FH(Kori)-5 b(\024)-44
b(stenjem)33 b(v)m(eze)i(med)p 741 2888 30 2 v 1 w(u)e(mjerama)f
FB(\026)1325 2955 y FC(0)1400 2940 y FH(i)h FA(\026)p
FH(,)f(o)s(dnosno)g(izraza)h(\(24\),)f(imamo)h(da)f(je)1074
3217 y FB(\026)1133 3232 y FC(0)1203 3217 y FH(=)1593
3149 y FE(j)p FH(2)p FB(\031)t(\034)11 b FE(j)p 1316
3194 771 4 v 1316 3286 a FB(\034)1369 3258 y FC(2)1434
3286 y FH(+)22 b(\(2)p FB(\031)t FI(A)1763 3258 y FD(>)1826
3286 y FA(\030)j FE(\001)d FA(\030)s FH(\))2044 3258
y FC(2)2096 3217 y FA(\026)2167 3234 y FF(f)2216 3217
y FA(\030)j FE(\001)d FA(\030)s FB(:)-165 3490 y FH(Na)g(ta)5
b(j)22 b(smo)h(na)m(\024)-46 b(cin)23 b(u)g(p)s(otpunosti)g
(eksplicitno)h(opisali)f(nep)s(oznate)g(makrosk)m(opsk)m(e)j(energetsk)
m(e)f(izraze)-165 3609 y(p)s(omo)m(\023)-46 b(cu)32 b(zadanih)i(p)s(o)s
(datak)-5 b(a)31 b(\(niza)i FL(f)1263 3624 y FF(n)1313
3609 y FH(\))g(za)f(zada)m(\023)-46 b(cu)33 b(\(17\).)57
3728 y(P)m(osebno)h(u)e(slu)m(\024)-46 b(ca)5 b(ju)34
b FI(A)28 b FH(=)f FI(I)32 b FH(slijedi)i(da)e(je)1247
3946 y FA(\026)c FH(=)f(\(2)p FB(\031)t FH(\))1633 3905
y FC(4)1675 3946 y FH(\()p FA(\026)1784 3964 y FF(f)1833
3946 y FA(\030)e FE(\001)d FA(\030)s FH(\))p FA(\030)i
FE(\012)f FA(\030)1217 4101 y FB(\026)1276 4116 y FC(0)1346
4101 y FH(=)k FE(j)p FH(2)p FB(\031)t(\034)11 b FE(j)p
FH(\(2)p FB(\031)t FH(\))1850 4059 y FC(2)1892 4101 y
FA(\026)1963 4118 y FF(f)2012 4101 y FA(\030)25 b FE(\001)c
FA(\030)s FB(:)57 4312 y FH(Dobiv)m(ene)33 b(rezultate)h(mo)m(\024)-46
b(zemo)33 b(pro)m(vjeriti)h(na)e(primjeru)i(iz)f(o)s(djeljk)-5
b(a)32 b(I)s(I.3.)-165 4482 y FI(Primjer)46 b(3.)191
b FH(Nek)-5 b(a)40 b(je)h FB(f)950 4497 y FF(n)1001 4482
y FH(\()p FB(t;)17 b(x)p FH(\))41 b(=)g(sin)1506 4401
y Fu(\000)1551 4482 y FH(2)p FB(\031)t FH(\()p FB(\013)q(n)1818
4446 y FC(2)1860 4482 y FB(t)23 b FH(+)f FB(\014)6 b(nx)p
FH(\))2228 4401 y Fu(\001)2314 4482 y FH(niz)41 b(L)2540
4446 y FC(2)2540 4513 y(lo)r(c)2640 4482 y FH(\()p FI(R)2762
4446 y FC(2)2804 4482 y FH(\))g(funk)m(cija)g(\()p FB(\013)g
FH(i)g FB(\014)46 b FH(su)-165 4601 y(proizv)m(oljne)26
b(realne)f(k)m(onstan)m(te\).)42 b(Na)25 b(na)m(\024)-46
b(cin)25 b(na)f(k)m(o)5 b(ji)26 b(je)e(to)g(napra)m(vljeno)i(u)f
(Primjeru)g(1.)f(\(parab)s(oli)m(\024)-46 b(ck)m(e)-165
4719 y(H-mjere)33 b(za)f(oscilira)5 b(ju)m(\023)-46 b(ce)34
b(nizo)m(v)m(e\))h(p)s(ok)-5 b(a)m(\024)-46 b(ze)33 b(se)g(da)f(je)h
(pripadna)g(mjera)615 5028 y FB(\026)674 5046 y FF(f)751
5028 y FH(=)864 4961 y(1)p 864 5005 49 4 v 864 5096 a(4)940
4858 y Fu( )1019 5028 y FB(\016)1062 5069 y FC(\()1217
5038 y Fs(\013)p 1102 5052 274 4 v 1102 5061 a FD(p)p
1166 5061 210 4 v 59 x Fs(\013)1209 5103 y Fv(2)1246
5120 y(+)p Fs(\014)1338 5103 y Fv(4)1385 5069 y FF(;)1539
5034 y Fs(\014)p 1416 5052 288 4 v 1435 5092 a Fv(4)1430
5065 y FD(p)p 1494 5065 210 4 v 59 x Fs(\013)1537 5107
y Fv(2)1575 5124 y(+)p Fs(\014)1667 5107 y Fv(4)1713
5069 y FC(\))1770 5028 y FH(+)22 b FB(\016)1911 5069
y FC(\()2040 5038 y Fq(\000)p Fs(\013)p 1951 5052 274
4 v 1951 5061 a FD(p)p 2015 5061 210 4 v 59 x Fs(\013)2058
5103 y Fv(2)2095 5120 y(+)p Fs(\014)2187 5103 y Fv(4)2234
5069 y FF(;)2363 5034 y Fq(\000)p Fs(\014)p 2265 5052
288 4 v 2284 5092 a Fv(4)2279 5065 y FD(p)p 2343 5065
210 4 v 59 x Fs(\013)2386 5107 y Fv(2)2424 5124 y(+)p
Fs(\014)2516 5107 y Fv(4)2563 5069 y FC(\))2597 4858
y Fu(!)2698 5028 y Fr(\002)g FB(\025;)-165 5346 y FH(gdje)38
b FB(\025)g FH(predsta)m(vlja)i(Leb)s(esgueo)m(vu)h(mjeru)e(na)f
(\014zik)-5 b(alnom)39 b(prostoru)g FI(R)2608 5310 y
FC(2)2650 5346 y FH(.)61 b(S)38 b(druge)h(strane)g(za)g(niz)-165
5465 y(rje)-5 b(\024)-44 b(senja)33 b FB(u)249 5480 y
FF(n)331 5465 y FH(zada)m(\023)-46 b(ca)33 b(\(16\))f(\(uz)h
FB(d)27 b FH(=)h FI(A)f FH(=)h(1)k(i)h FB(\015)1615 5480
y FF(n)1692 5465 y FH(=)28 b(0\))k(vrijedi)i(da)e(je)38
5751 y FB(@)89 5766 y FF(x)137 5751 y FB(u)193 5766 y
FF(n)271 5751 y FH(=)556 5684 y(2)p FB(\031)t(\014)725
5647 y FC(2)p 384 5728 555 4 v 384 5819 a FH(\(2)p FB(\031)t(\014)591
5791 y FC(2)633 5819 y FH(\))671 5791 y FC(2)736 5819
y FH(+)22 b FB(\013)897 5791 y FC(2)965 5640 y Fu(\020)1025
5751 y FE(\000)p FH(2)p FB(\031)t(\014)1271 5710 y FC(2)1330
5751 y FH(sin)1450 5640 y Fu(\020)1509 5751 y FH(2)p
FB(\031)t FH(\()p FB(\013)q(n)1776 5710 y FC(2)1818 5751
y FB(t)h FH(+)f FB(\014)6 b(nx)p FH(\))2186 5640 y Fu(\021)2267
5751 y FH(+)22 b FB(\013)c FH(cos)2575 5640 y Fu(\020)2635
5751 y FH(2)p FB(\031)t FH(\()p FB(\013)q(n)2902 5710
y FC(2)2944 5751 y FB(t)k FH(+)g FB(\014)6 b(nx)p FH(\))3311
5640 y Fu(\021)q(\021)-165 6010 y Fz(56)p eop end
%%Page: 57 63
TeXDict begin 57 62 bop 2763 -116 a Fx(P)n(arab)r(oli)n(\024)-39
b(ck)n(e)24 b(H-mjere)k(i)f(primjene)71 84 y FH(\(do)32
b(na)h(jak)m(o)f(k)m(on)m(v)m(ergen)m(tan)h(\024)-46
b(clan)32 b(u)h(L)1538 48 y FC(2)1538 116 y(lo)r(c)1638
84 y FH(\()p FI(R)1760 48 y FC(+)1846 84 y FE(\002)22
b FI(R)p FH(\)\).)43 b(Stoga)32 b(je)487 384 y FB(\026)27
b FH(=)677 214 y Fu( )756 244 y(\022)952 317 y FH(\(2)p
FB(\031)t(\014)1159 280 y FC(2)1201 317 y FH(\))1239
280 y FC(2)p 839 361 555 4 v 839 452 a FH(\(2)p FB(\031)t(\014)1046
424 y FC(2)1088 452 y FH(\))1126 424 y FC(2)1190 452
y FH(+)22 b FB(\013)1351 424 y FC(2)1404 244 y Fu(\023)1477
259 y FC(2)1542 384 y FH(+)1640 244 y Fu(\022)1864 317
y FH(2)p FB(\031)t(\013)q(\014)2096 280 y FC(2)p 1723
361 V 1723 452 a FH(\(2)p FB(\031)t(\014)1930 424 y FC(2)1972
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b(jednad)l(\024)-64 b(zbu)293 2227 y FH(Razmatrat)29
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y FB(u)1646 2429 y FF(n)1718 2414 y FH(+)22 b FL(div)17
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b(arijablama)41 b FB(t)g FH(i)h FI(x)p FH(,)i(sa)d(sv)m(o)5
b(jstv)m(om)71 2869 y(da)42 b(je)h FI(A)p FH(\()p FE(\001)p
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b(ze)23 b(se)g(da)g(niz)g(\(lok)-5 b(aliziranih\))23
b(funk)m(cija)3698 3224 y(~)3699 3225 y FL(v)3744 3240
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y FH(;)17 b FI(R)2821 3307 y FC(1+)p FF(d)2963 3344 y
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3462 y(pridru)m(\024)g(ziti)33 b(parab)s(oli)m(\024)-46
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3916 V 78 x FB(@)2734 4009 y FF(t)2766 3994 y FB(u)2822
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b(lok)-5 b(alizacijsk)m(og)35 b(sv)m(o)5 b(jstv)-5 b(a)34
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(\024)-46 b(zbu)35 b(\(30)3568 4246 y FC(1)3610 4231
y FH(\))e(dobi-)71 4350 y(jemo)g(izraze)71 4629 y(\(31\))1331
4559 y FB(i\026)1423 4574 y FC(0)1466 4471 y FE(p)p 1549
4471 195 4 v 88 x FH(2)p FB(\031)t(i\034)g FH(+)23 b(2)p
FB(\031)t(i)p FA(\026)2076 4574 y FC(10)2178 4559 y FE(\001)f
FI(A)2313 4517 y FD(>)2376 4559 y FA(\030)31 b FH(=)c(0)1370
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4629 y FE(p)p 1638 4629 V 88 x FH(2)p FB(\031)t(i\034)34
b FH(+)22 b(2)p FB(\031)t(i)p FA(\026)2165 4676 y FD(>)2228
4717 y FI(A)2313 4676 y FD(>)2376 4717 y FA(\030)31 b
FH(=)c FL(0)p FB(;)71 4909 y FH(iz)33 b(k)m(o)5 b(jih)33
b(slijedi)h(da)f(je)71 5113 y(\(32\))1121 b FE(j)p FH(2)p
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5113 y FH(=)28 b(4)p FB(\031)1923 5072 y FC(2)1965 5113
y FA(\026)2036 5072 y FD(>)2099 5113 y FI(A)2184 5072
y FD(>)2248 5113 y FA(\030)d FE(\001)c FI(A)2458 5072
y FD(>)2522 5113 y FA(\030)s FB(:)71 5330 y FH(Na)32
b(sli)m(\024)-46 b(can)33 b(na)m(\024)-46 b(cin,)32 b(primjenom)h(lok)
-5 b(alizacijsk)m(og)33 b(sv)m(o)5 b(jstv)-5 b(a)34 b(na)e(relaciju)
2759 5252 y FE(p)p 2842 5252 84 4 v 78 x FB(@)2893 5345
y FF(t)2926 5330 y FB(v)2977 5281 y FF(j)2973 5343 y(n)3051
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5293 y FC(0)3293 5354 y FF(n)3375 5330 y FH(dobijemo)33
b(da)71 5448 y(je)71 5728 y(\(33\))1472 5657 y FE(\000)p
FH(2)p FB(\031)t(i\026)1749 5672 y FC(0)1808 5657 y FA(\030)25
b FH(+)1982 5569 y FE(p)p 2065 5569 195 4 v 88 x FH(2)p
FB(\031)t(i\034)j FA(\026)2347 5672 y FC(10)2455 5657
y FH(=)g FL(0)1334 5815 y FE(\000)p FH(2)p FB(\031)t(i)p
FA(\026)1623 5774 y FD(>)1623 5840 y FC(01)1726 5815
y FE(\012)22 b FA(\030)j FH(+)1999 5727 y FE(p)p 2082
5727 V 88 x FH(2)p FB(\031)t(i\034)j FA(\026)2364 5774
y FD(>)2455 5815 y FH(=)g FL(0)p FB(:)3770 6010 y Fz(57)p
eop end
%%Page: 58 64
TeXDict begin 58 63 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
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b(\024)-44 b(sa)m(v)-5 b(a)5 b(ju)m(\023)-46 b(ci)28
b(se)h(nedijagonalnih)f(elemenata)h(mjere)1834 82 y(~)1823
83 y FA(\026)e FH(u)h(gornjim)f(dvjema)i(jednak)m(ostima)g(slijedi)f
(da)-165 202 y(je)-165 418 y(\(34\))1236 b FE(j)p FH(2)p
FB(\031)t(\034)11 b FE(j)p FA(\026)1533 377 y FD(>)1623
418 y FH(=)28 b(4)p FB(\031)1835 377 y FC(2)1877 418
y FB(\026)1936 433 y FC(0)1995 418 y FA(\030)d FE(\012)d
FA(\030)s FB(:)-165 634 y FH(Na)32 b(kra)5 b(ju,)33 b(na)g(osno)m(vu)g
(Sc)m(h)m(w)m(arzo)m(vih)j(relacija)d(imamo)f(k)-5 b(ao)33
b(i)f(prije)h(da)g(je)f(mjera)h FA(\026)f FH(oblik)-5
b(a)-165 896 y(\(35\))1430 b FA(\026)27 b FH(=)1651 829
y FA(\030)d FE(\012)f FA(\030)p 1651 873 230 4 v 1689
964 a FE(j)p FA(\030)s FE(j)1799 936 y FC(2)1890 896
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(sljede)m(\023)-46 b(ce)31 b(relacije)g(izmed)p 2889
1118 30 2 v 1 w(u)f(sk)-5 b(alarnih)30 b(mjera)-165 1289
y FB(\026)-106 1304 y FC(0)-32 1289 y FH(i)j FL(tr)r
FA(\026)-165 1639 y FH(\(36\))1165 1569 y FE(j)p FH(2)p
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447 4 v 1921 1638 a FE(j)p FA(\030)s FE(j)2031 1609 y
FC(2)2230 1569 y FL(tr)r FA(\026)1126 1785 y FE(j)p FH(2)p
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FB(\031)1722 1744 y FC(2)1764 1785 y FE(j)p FA(\030)s
FE(j)1874 1744 y FC(2)1916 1785 y FB(\026)1975 1800 y
FC(0)2017 1785 y FB(:)-165 1989 y FH(Eliminacijom)33
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2229 y(\(37\))980 2118 y Fu(\020)1039 2229 y FE(j)p FH(2)p
FB(\031)t(\034)11 b FE(j)1256 2188 y FC(2)1321 2229 y
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2229 y FH(\()p FI(A)1769 2188 y FD(>)1833 2229 y FA(\030)j
FE(\001)c FA(\030)s FH(\))2050 2188 y FC(2)2093 2118
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FB(;)-165 2469 y FH(o)s(dnosno,)32 b(zb)s(og)g(hermiti)m(\024)-46
b(cnosti)35 b(matri)m(\024)-46 b(cne)33 b(funk)m(cije)h
FI(A)p FH(,)e(mjera)h FA(\026)f FH(je)g(no)-5 b(\024)-44
b(sena)33 b(u)g(to)m(\024)-46 b(ck)-5 b(ama)32 b(za)h(k)m(o)5
b(je)33 b(je)-165 2587 y FB(\034)-112 2551 y FC(2)-42
2587 y FH(=)28 b(\(2)p FB(\031)t FH(\))246 2551 y FC(2)288
2587 y FH(\()p FI(A)411 2551 y FD(>)474 2587 y FA(\030)d
FE(\001)d FA(\030)s FH(\))692 2551 y FC(2)762 2587 y
FH(=)27 b(\(2)p FB(\031)t FH(\))1049 2551 y FC(2)1092
2587 y FH(\()p FI(A)p FA(\030)d FE(\001)e FA(\030)s FH(\))1432
2551 y FC(2)1474 2587 y FH(.)57 2706 y(U)32 b(slu)m(\024)-46
b(ca)5 b(ju)34 b FI(A)28 b FH(=)f FI(I)p FH(,)32 b(o)s(duzimanjem)i
(relacija)f(u)f(\(36\))g(dobije)h(se)h(da)e(je)1079 2922
y(\()p FE(j)p FH(2)p FB(\031)t(\034)11 b FE(j)21 b FH(+)h(\(2)p
FB(\031)t FA(\030)s FH(\))1691 2881 y FC(2)1733 2922
y FH(\)\()p FB(\026)1868 2937 y FC(0)1932 2922 y FE(\000)h
FL(tr)r FA(\026)p FH(\))k(=)g(0)p FB(;)-165 3138 y FH(iz)40
b(\024)-46 b(cega)43 b(slijedi)h(ekviparticija)g(energije)g
FB(\026)1466 3153 y FC(0)1553 3138 y FH(=)h FL(tr)r FA(\026)p
FH(.)73 b(Op)m(\023)-46 b(cenito,)46 b(o)s(dnos)d(med)p
2806 3087 30 2 v 2 w(u)g(dvjema)g(mjerama)-165 3257 y(zadan)32
b(je)h(relacijom)1398 3427 y FB(\026)1457 3442 y FC(0)1527
3427 y FH(=)1672 3360 y FE(j)p FH(2)p FB(\031)t(\034)11
b FE(j)p 1641 3404 280 4 v 1641 3495 a FH(\(2)p FB(\031)t
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FA(\026)p FB(:)-165 3660 y FH(Primijetmo)33 b(da)g(je)f(u)h(slu)m(\024)
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(gornji)g(razlomak)h(jednak)h(1.)57 3779 y(Med)p 209
3727 30 2 v 1 w(utim,)f(nosa)m(\024)-46 b(c)34 b(mjere)f
FA(\026)f FH(mo)m(\024)-46 b(zemo)34 b(opisati)e(i)h(b)s(olje)g(nego)27
b(\024)-44 b(sto)33 b(je)g(to)f(napra)m(vljeno)i(relacijom)-165
3898 y(\(37\).)43 b(Naime,)33 b(eliminira)5 b(ju)m(\023)-46
b(ci)34 b(mjeru)f FA(\026)1328 3913 y FC(01)1441 3898
y FH(u)g(\(31)1664 3913 y FC(2)1706 3898 y FH(\))f(i)h(\(33)1972
3913 y FC(2)2014 3898 y FH(\),)g(te)f(k)m(ori)-5 b(\024)-44
b(stenjem)35 b(oblik)-5 b(a)32 b(\(35\))1189 4114 y(\(2)p
FB(\031)t(\034)h FH(+)22 b(4)p FB(\031)1616 4073 y FC(2)1658
4114 y FI(A)p FA(\030)j FE(\001)c FA(\030)s FH(\))p FL(tr)r
FA(\026)27 b FH(=)g(0)p FB(;)-165 4330 y FH(o)s(dnosno)47
b(mjera)h FA(\026)f FH(je)g(no)-5 b(\024)-44 b(sena)49
b(samo)e(na)h(ju)m(\024)-46 b(zno)5 b(j)48 b(hemisferi)h(hip)s(erplohe)
g(P)2814 4294 y FF(d)2905 4330 y FH(u)f(to)m(\024)-46
b(ck)-5 b(ama)47 b(oblik)-5 b(a)-165 4449 y(2)p FB(\031)t(\034)38
b FH(=)28 b FE(\000)p FH(4)p FB(\031)312 4413 y FC(2)355
4449 y FI(A)p FA(\030)c FE(\001)e FA(\030)s FH(.)57 4568
y(P)m(arab)s(oli)m(\024)-46 b(cku)48 b(H-mjeru)d(\023)-46
b(cemo)47 b(izra)m(\024)-46 b(cunati)48 b(za)f(niz)h(rje)-5
b(\024)-44 b(senja)48 b(Sc)m(hr\177)-49 b(odingero)m(v)m(e)50
b(jednad)m(\024)-46 b(zb)s(e)48 b(iz)-165 4687 y(Primjera)e(I)s(I.5.)82
b(Na)45 b(ta)5 b(j)46 b(na)m(\024)-46 b(cin)43 b(\023)-46
b(cemo)46 b(pro)m(vjeriti)g(rezultate)h(dobiv)m(ene)g(u)f(o)m(v)m(om)g
(o)s(djeljku,)j(k)-5 b(ao)45 b(i)-165 4805 y(usp)s(orediti)33
b(originaln)m(u)g(H-mjeru)g(s)g(njenom)g(parab)s(oli)m(\024)-46
b(ck)m(om)33 b(v)-5 b(arijan)m(tom.)-165 4973 y FI(Primjer)37
b(4.)143 b FH(Razmatramo)32 b(niz)h(rje)-5 b(\024)-44
b(senja)34 b(zada)m(\023)-46 b(ca)32 b(\(30\))g(zadanih)h(nizom)h(p)s
(o)m(\024)-46 b(cetnih)33 b(uvjeta:)1329 5236 y FB(\015)1380
5251 y FF(n)1458 5236 y FH(=)28 b FE(\000)1708 5168 y
FH(1)p 1649 5213 166 4 v 1649 5304 a(2)p FB(\031)t(n)1825
5236 y(e)1870 5195 y FC(2)p FF(\031)s(in)p Fm(b)p FD(\001)p
Ft(x)2140 5236 y FB(;)-165 5498 y FH(gdje)33 b(je)h FL(b)g
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%%Page: 59 65
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y FH(\024)872 1121 y FB(\036)p FH(\(0)p FB(;)g FL(0)p
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g(na)e(limes)i(u)f(\(38\))f(dobije)h(da)f(je)1050 1740
y FA(\026)c FH(=)1262 1672 y(1)p 1262 1717 V 1262 1808
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1988 a FE(p)p 1569 1988 456 4 v 68 x FD(j)p FC(2)p FF(\031)s
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2413 y FF(n)3170 2398 y FH(=)i(sin)q(\(2)p FB(\031)t(n)p
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b(a)1311 2676 y FA(\026)1382 2635 y FC(0)1452 2676 y
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%%Page: 60 66
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b(acije)28 b(i)e(dalje)h(1:2.)41 b(Med)p 1708 1235 V
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1929 y(nek)-5 b(a)-165 2142 y FH(\(40\))501 2049 y Fu(p)p
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b(sim)m(b)s(olima)g FB(p)2787 5494 y FC(1)2868 5479 y
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e(k)m(om)m(utatori)g(u)f(gornjo)5 b(j)42 b(relaciji)h(su)h(k)m
(ompaktni)-165 5811 y(op)s(eratori)d(na)h(L)470 5775
y FC(2)512 5811 y FH(\()p FI(R)634 5775 y FC(1+)p FF(d)776
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g(L)3290 5775 y FC(2)3333 5811 y FH(\()p FI(R)3455 5775
y FC(1+)p FF(d)3596 5811 y FH(\).)-165 6010 y Fz(60)p
eop end
%%Page: 61 67
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FB(\036)2449 4 y Fu(\020)2508 115 y FB(P)2571 130 y FC(1)2613
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115 y FH(\()p FL(a)3565 130 y Fp(\013)3650 115 y FE(\001)g
FL(u)3750 130 y FF(n)3800 115 y FH(\))3838 4 y Fu(\021)71
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549 y Fu(\020)656 659 y FB(\032)p FH(\()p FB(\034)6 b(;)17
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4 v 87 x FH(2)p FB(\031)t(i\034)1423 590 y FF(s)1463
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979 y FH(\()p FI(R)592 942 y FC(1+)p FF(d)733 979 y FH(\).)293
1106 y(P)m(omno)m(\024)-46 b(zimo)39 b(li)e FB(n)p FE(\000)p
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FH(1)p FB(;)17 b(:)g(:)g(:)f(;)h(r)s FE(g)p FB(;)g( )39
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FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))1458 1335
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278 4 v 1387 2296 a(\032)p FH(\()p FB(\034)6 b(;)17 b
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%%Page: 62 68
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y FE(h)d FB(A)p FH(\()p FB(t)p FH(\))p FB(u;)g(v)i FE(i)2103
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%%Page: 63 69
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FH(na)k(k)m(o)5 b(ju)34 b(mo)m(\024)-46 b(zemo)33 b(primijeniti)h(p)s
(o)s(op)m(\023)-46 b(ceno)32 b(lok)-5 b(alizacijsk)m(o)34
b(sv)m(o)5 b(jstv)m(o.)46 b(Njime)33 b(dobijemo)g(jednak)m(ost:)1417
1591 y(~)1407 1592 y FA(\026)1478 1551 y FD(>)1558 1451
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y FE(\000)-43 b(\000)-21 b(\000)f(\000)h(\000)f(\000)-43
b(!)1875 1662 y FL(M)p FH(\()p FA(\030)25 b FE(\012)d
FA(\030)s FH(\))2281 1451 y Fu(\023)2382 1592 y FH(=)28
b FL(0)p FB(:)71 1850 y FH(Raspisan)33 b(p)s(o)f(k)m(omp)s(onen)m
(tama,)i(on)f(glasi)71 2166 y(\(45\))1290 2096 y(2)p
FB(\031)t(i\034)11 b(\026)1543 2111 y FC(0)1608 2096
y FE(\000)23 b FH(4)p FB(\031)1816 2055 y FC(2)1858 2096
y FA(\026)1929 2111 y FC(10)2032 2096 y FE(\001)2081
2021 y(\000)-43 b(\000)-21 b(\000)g(\000)f(\000)g(\000)-43
b(!)2081 2096 y FL(M)p FH(\()p FA(\030)25 b FE(\012)d
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y FE(\000)23 b FH(4)p FB(\031)1905 2250 y FC(2)1947 2291
y FA(\026)2018 2250 y FD(>)2081 2216 y FE(\000)-43 b(\000)-21
b(\000)g(\000)f(\000)g(\000)-43 b(!)2081 2291 y FL(M)p
FH(\()p FA(\030)25 b FE(\012)d FA(\030)s FH(\))28 b(=)f
FL(0)p FB(:)71 2488 y FH(Kao)37 b(i)h(prije,)i(cilj)f(nam)f(je)g(mjeru)
h FA(\026)f FH(izraziti)g(p)s(omo)m(\023)-46 b(cu)39
b(sk)-5 b(alarne)38 b(mjere)h(\()p FL(tr)r FA(\026)p
FH(\).)59 b(U)39 b(tu)f(svrh)m(u,)j(osim)71 2607 y(jednad)m(\024)-46
b(zb)s(e)33 b(plo)m(\024)-46 b(ce,)33 b(moramo)f(isk)m(oristiti)i(i)f
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b(cinjenice)34 b(da)e(su)h(k)m(omp)s(onen)m(te)71 2726
y(v)m(ektora)422 2725 y(~)423 2726 y FL(v)468 2741 y
FF(n)553 2726 y FH(de\014nirane)k(k)-5 b(ao)35 b(parcijalne)g(deriv)-5
b(acije)37 b(sk)-5 b(alarne)35 b(funk)m(cije.)53 b(Kori)-5
b(\024)-44 b(stenjem)37 b(Sc)m(h)m(w)m(arzo)m(v)-5 b(a)71
2844 y(teorema)35 b(imamo)f(da)h(je)f FB(@)1064 2859
y FF(ij)1131 2844 y FB(v)1178 2862 y FF(k)r(l)1280 2844
y FH(=)c FB(@)1437 2862 y FF(k)r(l)1508 2844 y FB(v)1555
2859 y FF(ij)1622 2844 y FH(,)35 b(iz)d(\024)-46 b(cega)34
b(primjenom)i(lok)-5 b(alizacijsk)m(og)35 b(sv)m(o)5
b(jstv)-5 b(a)36 b(slijedi)g(da)71 2963 y(je)1609 3082
y FB(\030)1652 3097 y FF(i)1682 3082 y FB(\030)1725 3097
y FF(j)1764 3082 y FA(\026)1835 3099 y FF(k)r(l)1933
3082 y FH(=)27 b FB(\030)2079 3099 y FF(k)2125 3082 y
FB(\030)2168 3099 y FF(l)2196 3082 y FA(\026)2267 3097
y FF(ij)2333 3082 y FB(;)71 3252 y FH(pri)k(\024)-46
b(cem)m(u)35 b(je)e(s)i FA(\026)727 3267 y FF(ij)826
3252 y FH(ozna)m(\024)-46 b(cen)34 b(\()p FB(i;)17 b(j)6
b FH(\)-ti)33 b(redak)i(matrice)f FA(\026)p FH(.)46 b(Analogno)33
b(dok)-5 b(azu)34 b(Leme)h(I)s(I.4,)f(iz)g(gornje)71
3371 y(relacije)f(se)h(dobije)e(da)h(je)71 3678 y(\(46\))681
b FA(\026)27 b FH(=)1138 3542 y FE(\000)-40 b(\000)-22
b(\000)-40 b(!)1138 3611 y FA(\030)25 b FE(\012)d FA(\030)j
FE(\012)1489 3542 y(\000)-40 b(\000)-22 b(\000)-40 b(!)1489
3611 y FA(\030)25 b FE(\012)d FA(\030)p 1138 3656 580
4 v 1352 3747 a FE(j)p FA(\030)s FE(j)1462 3718 y FC(4)1744
3678 y FL(tr)r FA(\026)27 b FH(=)h(\(2)p FB(\031)t FH(\))2200
3637 y FC(4)2269 3542 y FE(\000)-40 b(\000)-22 b(\000)-40
b(!)2269 3611 y FA(\030)24 b FE(\012)f FA(\030)i FE(\012)2619
3542 y(\000)-40 b(\000)-21 b(\000)-40 b(!)2619 3611 y
FA(\030)25 b FE(\012)e FA(\030)p 2269 3656 V 2333 3747
a FH(1)f FE(\000)h FH(\(2)p FB(\031)t(\034)11 b FH(\))2741
3718 y FC(2)2875 3678 y FL(tr)r FA(\026)p FB(:)71 3940
y FH(Zaista,)40 b(sta)m(vlja)5 b(ju)m(\023)-46 b(ci)41
b(\()p FB(m;)17 b(n)p FH(\))39 b(=)f(\()p FB(i;)17 b(j)6
b FH(\))39 b(u)g(relaciji)h FB(\030)1992 3955 y FF(i)2022
3940 y FB(\030)2065 3955 y FF(j)2104 3940 y FB(\026)2163
3958 y FF(k)r(l)q(mn)2386 3940 y FH(=)f FB(\030)2544
3958 y FF(k)2590 3940 y FB(\030)2633 3958 y FF(l)2661
3940 y FB(\026)2720 3955 y FF(ij)t(mn)2899 3940 y FH(,)i(te)e(zbra)5
b(ja)g(ju)m(\023)-46 b(ci)41 b(p)s(o)d(svim)71 4059 y(ured)p
226 4007 30 2 v 1 w(enim)33 b(paro)m(vima)h(\()p FB(i;)17
b(j)6 b FH(\),)32 b(dobijemo)h(da)f(je)1166 4187 y Fu(X)1166
4409 y FC(\()p FF(i;j)t FC(\))1326 4282 y FB(\026)1385
4299 y FF(k)r(l)q(ij)1534 4282 y FB(\030)1577 4297 y
FF(i)1607 4282 y FB(\030)1650 4297 y FF(j)1717 4282 y
FH(=)1821 4187 y Fu(X)1821 4409 y FC(\()p FF(i;j)t FC(\))1981
4282 y FB(\026)2040 4297 y FF(ij)t(ij)2185 4282 y FB(\030)2228
4299 y FF(k)2273 4282 y FB(\030)2316 4299 y FF(l)2372
4282 y FH(=)c FB(\030)2519 4299 y FF(k)2565 4282 y FB(\030)2608
4299 y FF(l)2635 4282 y FL(tr)r FA(\026)p FB(;)71 4601
y FH(o)s(dnosno)1516 4736 y FA(\026)1604 4667 y FE(\000)-40
b(\000)-22 b(\000)-40 b(!)1604 4736 y FA(\030)24 b FE(\012)f
FA(\030)30 b FH(=)e(\()p FL(tr)q FA(\026)p FH(\))2197
4667 y FE(\000)-40 b(\000)-22 b(\000)-40 b(!)2197 4736
y FA(\030)24 b FE(\012)f FA(\030)r FB(:)71 4907 y FH(S)33
b(druge)g(strane)g(je)712 5111 y FB(\030)755 5126 y FF(i)785
5111 y FB(\030)828 5126 y FF(j)867 5111 y FB(\026)926
5128 y FF(k)r(l)q(mn)1138 5111 y FH(=)28 b FB(\030)1285
5128 y FF(k)1330 5111 y FB(\030)1373 5128 y FF(l)1401
5111 y FB(\026)1460 5126 y FF(ij)t(mn)1668 5111 y FH(=)f
FB(\030)1814 5128 y FF(k)1860 5111 y FB(\030)1903 5128
y FF(l)1939 5111 y FH(\026)-57 b FB(\026)1990 5126 y
FF(mnij)2198 5111 y FH(=)27 b FB(\030)2344 5126 y FF(m)2416
5111 y FB(\030)2459 5126 y FF(n)2516 5111 y FH(\026)-56
b FB(\026)2568 5128 y FF(k)r(l)q(ij)2728 5111 y FH(=)27
b FB(\030)2874 5126 y FF(m)2945 5111 y FB(\030)2988 5126
y FF(n)3039 5111 y FB(\026)3098 5128 y FF(ij)t(k)r(l)3230
5111 y FB(;)71 5315 y FH(pri)d(\024)-46 b(cem)m(u)28
b(smo)f(k)m(oristili)h(hermiti)m(\024)-46 b(cnost)29
b(parab)s(oli)m(\024)-46 b(ck)m(e)28 b(H-mjere)f FA(\026)p
FH(.)41 b(Mno)m(\024)-46 b(ze)m(\023)g(ci)28 b(gornju)e(relaciju)i(s)f
FB(\030)3706 5330 y FF(m)3777 5315 y FB(\030)3820 5330
y FF(n)3871 5315 y FH(,)71 5433 y(te)33 b(zbra)5 b(ja)g(ju)m(\023)-46
b(ci)33 b(p)s(o)g(ured)p 939 5381 V 1 w(enim)g(paro)m(vima)g(\()p
FB(m;)17 b(n)p FH(\))33 b(slijedi)g(da)g(je)886 5578
y Fu(\020)945 5594 y(X)1106 5688 y FB(\030)1149 5703
y FF(m)1220 5578 y Fu(\021)1280 5600 y FC(2)1339 5688
y FB(\026)1398 5706 y FF(ij)t(k)r(l)1558 5688 y FH(=)1687
5594 y Fu(X)1661 5816 y FC(\()p FF(m;n)p FC(\))1873 5688
y FB(\026)1932 5706 y FF(k)r(l)q(mn)2133 5688 y FB(\030)2176
5703 y FF(i)2206 5688 y FB(\030)2249 5703 y FF(j)2288
5688 y FB(\030)2331 5703 y FF(m)2403 5688 y FB(\030)2446
5703 y FF(n)2523 5688 y FH(=)28 b FB(\030)2670 5703 y
FF(i)2700 5688 y FB(\030)2743 5703 y FF(j)2782 5688 y
FB(\030)2825 5706 y FF(k)2871 5688 y FB(\030)2914 5706
y FF(l)2942 5688 y FL(tr)r FA(\026)3770 6010 y Fz(63)p
eop end
%%Page: 64 70
TeXDict begin 64 69 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-171 83 y FH(\024)-44
b(sto)33 b(p)s(o)m(vla)m(\024)-46 b(ci)34 b(\(46\).)43
b(P)m(osebno)33 b(vrijedi)h(da)e(je)h(mjera)g FA(\026)f
FH(simetri)m(\024)-46 b(cna,)34 b(o)s(dnosno)f(realna.)57
219 y(Lok)-5 b(alizacijsk)m(o)34 b(sv)m(o)5 b(jstv)m(o)35
b(tak)m(od)p 1259 167 30 2 v 1 w(er)f(mo)m(\024)-46 b(zemo)34
b(primijeniti)g(na)f(\()p FB(d)2494 182 y FC(2)2570 219
y FH(sk)-5 b(alarnih)33 b(relacija\))h FB(@)3414 234
y FF(t)3446 174 y FE(\000)-66 b(!)3454 219 y FL(v)3499
234 y FF(n)3586 219 y FH(=)-165 310 y FE(\000)-40 b(\000)-22
b(\000)-40 b(!)-165 379 y FA(\030)24 b FE(\012)f FA(\030)s
FB(v)115 343 y FC(0)111 404 y FF(n)161 379 y FH(,)33
b(te)g(time)g(dobiti)g(izraz)1224 666 y(~)1213 667 y
FA(\026)1284 626 y FD(>)1364 497 y Fu( )1460 641 y FE(\000)p
FH(4)p FB(\031)1645 605 y FC(2)1687 572 y FE(\000)-40
b(\000)-21 b(\000)-40 b(!)1687 641 y FA(\030)25 b FE(\012)e
FA(\030)1916 540 y FD(>)1563 760 y FE(\000)p FH(2)p FB(\031)t(i\034)11
b FI(I)1997 497 y Fu(!)2103 667 y FH(=)28 b FL(0)p FB(;)-165
950 y FH(o)s(dnosno)k(p)s(o)g(k)m(omp)s(onen)m(tama)-165
1256 y(\(47\))1157 1186 y FE(\000)p FH(4)p FB(\031)1342
1144 y FC(2)1385 1116 y FE(\000)-40 b(\000)-22 b(\000)-40
b(!)1385 1186 y FA(\030)24 b FE(\012)f FA(\030)c FB(\026)1689
1201 y FC(0)1754 1186 y FE(\000)j FH(2)p FB(\031)t(i\034)11
b FA(\026)2118 1201 y FC(10)2227 1186 y FH(=)27 b FL(0)1082
1375 y FE(\000)p FH(4)p FB(\031)1267 1334 y FC(2)1310
1375 y FA(\026)1381 1334 y FD(>)1381 1400 y FC(01)1484
1375 y FE(\012)1583 1306 y(\000)-40 b(\000)-21 b(\000)-40
b(!)1583 1375 y FA(\030)25 b FE(\012)e FA(\030)i FE(\000)d
FH(2)p FB(\031)t(i\034)11 b FA(\026)28 b FH(=)f FI(0)p
FB(:)-165 1568 y FH(Eliminacijom)33 b(mjere)h FA(\026)769
1583 y FC(01)882 1568 y FH(iz)f(\(47)1121 1583 y FC(2)1163
1568 y FH(\))f(i)h(\(45)1429 1583 y FC(2)1471 1568 y
FH(\),)f(te)h(uvr)-5 b(\024)-44 b(sta)m(v)-5 b(anjem)34
b(oblik)-5 b(a)33 b(\(46\))f(imamo)g(da)h(je)124 1815
y FI(0)28 b FH(=)f(\(2)p FB(\031)t(\034)11 b FH(\))548
1774 y FC(2)591 1815 y FA(\026)22 b FE(\000)g FH(\(2)p
FB(\031)t FH(\))967 1774 y FC(4)1026 1815 y FA(\026)1114
1740 y FE(\000)-43 b(\000)-22 b(\000)g(\000)h(\000)f(\000)-43
b(!)1114 1815 y FL(M)p FH(\()p FA(\030)24 b FE(\012)e
FA(\030)s FH(\))g FE(\012)1625 1746 y(\000)-40 b(\000)-22
b(\000)-40 b(!)1625 1815 y FA(\030)24 b FE(\012)f FA(\030)208
2114 y FH(=)k(\(2)p FB(\031)t(\034)11 b FH(\))548 2072
y FC(2)601 1977 y FE(\000)-40 b(\000)-22 b(\000)-40 b(!)601
2046 y FA(\030)25 b FE(\012)d FA(\030)j FE(\012)952 1977
y(\000)-40 b(\000)-22 b(\000)-40 b(!)952 2046 y FA(\030)25
b FE(\012)d FA(\030)p 601 2091 580 4 v 815 2182 a FE(j)p
FA(\030)s FE(j)925 2153 y FC(4)1207 2114 y FL(tr)r FA(\026)g
FE(\000)g FH(\(2)p FB(\031)t FH(\))1653 2072 y FC(4)1706
1899 y Fu(\020)1765 1941 y FE(\000)-40 b(\000)-21 b(\000)-41
b(!)1765 2010 y FA(\030)25 b FE(\012)d FA(\030)j FE(\012)2116
1941 y(\000)-40 b(\000)-22 b(\000)-40 b(!)2116 2010 y
FA(\030)25 b FE(\012)d FA(\030)2345 1899 y Fu(\021)2432
1935 y FE(\000)-43 b(\000)-21 b(\000)f(\000)h(\000)f(\000)-43
b(!)2432 2010 y FL(M)p FH(\()p FA(\030)24 b FE(\012)f
FA(\030)s FH(\))p 1706 2091 1117 4 v 2188 2182 a FE(j)p
FA(\030)s FE(j)2298 2153 y FC(4)2886 2114 y FE(\012)2986
2044 y(\000)-40 b(\000)-22 b(\000)-40 b(!)2986 2114 y
FA(\030)25 b FE(\012)d FA(\030)e FL(tr)q FA(\026)208
2435 y FH(=)311 2294 y Fu(\022)385 2435 y FH(\(2)p FB(\031)t(\034)11
b FH(\))622 2394 y FC(2)687 2435 y FE(\000)22 b FH(\(2)p
FB(\031)t FH(\))970 2394 y FC(4)1012 2360 y FE(\000)-43
b(\000)-21 b(\000)f(\000)h(\000)f(\000)-43 b(!)1012 2435
y FL(M)p FH(\()p FA(\030)25 b FE(\012)d FA(\030)s FH(\))g
FE(\001)1474 2365 y(\000)-40 b(\000)-22 b(\000)-40 b(!)1474
2435 y FA(\030)25 b FE(\012)d FA(\030)1703 2294 y Fu(\023)1803
2298 y FE(\000)-40 b(\000)-22 b(\000)-40 b(!)1803 2367
y FA(\030)25 b FE(\012)d FA(\030)j FE(\012)2154 2298
y(\000)-40 b(\000)-22 b(\000)-40 b(!)2154 2367 y FA(\030)24
b FE(\012)f FA(\030)p 1803 2412 580 4 v 2017 2503 a FE(j)p
FA(\030)s FE(j)2127 2474 y FC(4)2409 2435 y FL(tr)r FA(\026)p
FB(:)-165 2688 y FH(Koriste)m(\023)-46 b(ci)33 b(da)g(je)419
2854 y FE(\000)-43 b(\000)-22 b(\000)h(\000)f(\000)g(\000)-42
b(!)419 2929 y FL(M)p FH(\()p FA(\030)24 b FE(\012)f
FA(\030)s FH(\))e FE(\001)880 2860 y(\000)-40 b(\000)-21
b(\000)-40 b(!)880 2929 y FA(\030)25 b FE(\012)e FA(\030)30
b FH(=)1241 2834 y Fu(X)1271 3049 y FF(i;j)1384 2818
y Fu(\020)1444 2929 y FL(M)p FH(\()p FA(\030)24 b FE(\012)f
FA(\030)s FH(\))1834 2818 y Fu(\021)1893 2998 y FF(i;j)1980
2929 y FB(\030)2023 2944 y FF(i)2054 2929 y FB(\030)2097
2944 y FF(j)2164 2929 y FH(=)k FL(M)p FH(\()p FA(\030)e
FE(\012)d FA(\030)s FH(\))g FE(\001)g FH(\()p FA(\030)i
FE(\012)f FA(\030)s FH(\))16 b FB(;)-165 3232 y FH(imamo)32
b(da)h(je)g(za)f FA(\030)f FE(6)p FH(=)c FL(0)32 b FH(na)h(nosa)m(\024)
-46 b(cu)33 b(mjere)g FA(\026)-165 3432 y FH(\(48\))1007
b(\(2)p FB(\031)t(\034)11 b FH(\))1253 3391 y FC(2)1323
3432 y FH(=)28 b(\(2)p FB(\031)t FH(\))1611 3391 y FC(4)1670
3432 y FL(M)p FH(\()p FA(\030)c FE(\012)f FA(\030)s FH(\))e
FE(\001)h FH(\()p FA(\030)j FE(\012)e FA(\030)s FH(\))16
b FB(:)-165 3631 y FH(Med)p -13 3579 30 2 v 1 w(utim,)28
b(k)-5 b(ak)m(o)27 b(relacija)g(\(47)965 3646 y FC(2)1007
3631 y FH(\))g(p)s(o)m(vla)m(\024)-46 b(ci)27 b(da)g(je)f
FA(\026)i FH(=)f FI(0)g FH(za)f FA(\030)31 b FH(=)c FL(0)p
FH(,)h(to)e(gornji)g(izraz)i(vrijedi)f(na)g(cijelom)-165
3750 y(nosa)m(\024)-46 b(cu)37 b(mjere)f FA(\026)p FH(.)54
b(T)-8 b(ak)m(od)p 810 3698 V 1 w(er)37 b(vidimo)g(da)f(je)g(p)s
(ozitivnost)h(tenzora)g FL(M)e FH(n)m(u)m(\024)-46 b(zan)37
b(uvjet)g(da)f(bi)h(mjera)f FA(\026)-165 3869 y FH(bila)c
(netrivijalna.)57 3987 y(Nadalje,)g(eliminacijom)i(mjere)f
FA(\026)1352 4002 y FC(10)1465 3987 y FH(iz)g(\(45\))f(dobijemo)h
(izraz)198 4401 y(\(2)p FB(\031)t(\034)11 b FH(\))435
4360 y FC(2)477 4401 y FB(\026)536 4416 y FC(0)606 4401
y FH(=)28 b(\(2)p FB(\031)t FH(\))894 4360 y FC(4)936
4401 y FA(\026)1024 4326 y FE(\000)-43 b(\000)-22 b(\000)g(\000)g(\000)
h(\000)-43 b(!)1024 4401 y FL(M)p FH(\()p FA(\030)23
b FE(\012)g FA(\030)s FH(\))f FE(\001)1484 4326 y(\000)-43
b(\000)-21 b(\000)f(\000)h(\000)f(\000)-43 b(!)1484 4401
y FL(M)p FH(\()p FA(\030)25 b FE(\012)d FA(\030)s FH(\))28
b(=)f(\(2)p FB(\031)t FH(\))2189 4360 y FC(4)2241 4127
y Fu(\022)2315 4193 y FE(\000)-43 b(\000)-22 b(\000)h(\000)f(\000)g
(\000)-42 b(!)2315 4268 y FL(M)p FH(\()p FA(\030)24 b
FE(\012)f FA(\030)s FH(\))e FE(\001)2776 4198 y(\000)-40
b(\000)-21 b(\000)-40 b(!)2776 4268 y FA(\030)25 b FE(\012)e
FA(\030)3005 4127 y Fu(\023)3079 4149 y FC(2)p 2241 4378
880 4 v 2605 4469 a FE(j)p FA(\030)s FE(j)2715 4441 y
FC(4)3131 4401 y FL(tr)r FA(\026)p FB(;)-165 4653 y FH(k)m(o)5
b(ji)33 b(u)g(slu)m(\024)-46 b(ca)5 b(ju)34 b FL(M)27
b FH(=)g FI(I)33 b FH(prelazi)g(u)-165 4852 y(\(49\))1235
b(\(2)p FB(\031)t(\034)11 b FH(\))1481 4811 y FC(2)1523
4852 y FB(\026)1582 4867 y FC(0)1652 4852 y FH(=)28 b(\(2)p
FB(\031)t FE(j)p FB(\030)5 b FE(j)2006 4811 y FC(4)2047
4852 y FH(\))p FL(tr)r FA(\026)p FB(:)-165 5051 y FH(Analogno,)32
b(na)g(osno)m(vu)i(\(47\))e(slijedi:)490 5360 y(\(2)p
FB(\031)t FH(\))674 5319 y FC(4)716 5291 y FE(\000)-40
b(\000)-22 b(\000)-40 b(!)716 5360 y FA(\030)25 b FE(\012)d
FA(\030)j FE(\001)1017 5291 y(\000)-40 b(\000)-22 b(\000)-40
b(!)1017 5360 y FA(\030)25 b FE(\012)d FA(\030)s FB(\026)1305
5375 y FC(0)1375 5360 y FH(=)27 b(\(2)p FB(\031)t(\034)11
b FH(\))1715 5319 y FC(2)1758 5360 y FA(\026)27 b FH(=)h(\(2)p
FB(\031)t(\034)11 b FH(\))2197 5319 y FC(2)2249 5224
y FE(\000)-40 b(\000)-21 b(\000)-40 b(!)2249 5293 y FA(\030)25
b FE(\012)e FA(\030)h FE(\012)2600 5224 y(\000)-40 b(\000)-21
b(\000)-41 b(!)2600 5293 y FA(\030)25 b FE(\012)d FA(\030)p
2249 5337 580 4 v 2463 5428 a FE(j)p FA(\030)s FE(j)2573
5400 y FC(4)2839 5360 y FL(tr)r FA(\026)p FB(;)-165 5612
y FH(o)s(dnosno)-165 5811 y(\(50\))1235 b(\(2)p FB(\031)t
FE(j)p FB(\030)5 b FE(j)1494 5770 y FC(4)1535 5811 y
FH(\))p FB(\026)1632 5826 y FC(0)1702 5811 y FH(=)27
b(\(2)p FB(\031)t(\034)11 b FH(\))2042 5770 y FC(2)2085
5811 y FL(tr)r FA(\026)p FB(:)-165 6010 y Fz(64)p eop
end
%%Page: 65 71
TeXDict begin 65 70 bop 2763 -116 a Fx(P)n(arab)r(oli)n(\024)-39
b(ck)n(e)24 b(H-mjere)k(i)f(primjene)71 83 y FH(Oduzimanjem)34
b(relacija)f(\(49\))e(i)i(\(50\))f(dobije)h(se)g(da)g(je)1243
180 y Fu(\000)1289 261 y FH(\(2)p FB(\031)t(\034)11 b
FH(\))1526 220 y FC(2)1590 261 y FH(+)22 b(\(2)p FB(\031)t
FE(j)p FB(\030)5 b FE(j)p FH(\))1976 220 y FC(4)2017
180 y Fu(\001)2079 261 y FH(\()p FB(\026)2176 276 y FC(0)2241
261 y FE(\000)22 b FL(tr)r FA(\026)p FH(\))27 b(=)h(0)p
FB(;)71 439 y FH(iz)i(\024)-46 b(cega)33 b(slijedi)g(ekviparticija)h
(energije)g(za)e(promatran)m(u)h(zada)m(\023)-46 b(cu,)33
b(o)s(dnosno)g FB(\026)3044 454 y FC(0)3114 439 y FH(=)27
b FL(tr)r FA(\026)p FH(.)293 557 y(Dobiv)m(eno)49 b(lok)-5
b(alizacijsk)m(o)50 b(sv)m(o)5 b(jstv)m(o)51 b(za)e(mjeru)g
FA(\026)g FH(je)g(sli)m(\024)-46 b(cno)49 b(onom)g(dobiv)m(enom)h(u)f
(slu)m(\024)-46 b(ca)5 b(ju)71 676 y(Sc)m(hr\177)-49
b(odingero)m(v)m(e)39 b(jednad)m(\024)-46 b(zb)s(e.)56
b(U)37 b(oba)f(slu)m(\024)-46 b(ca)5 b(ja)37 b(pripadna)g(parab)s(oli)m
(\024)-46 b(ck)-5 b(a)36 b(H-mjera)h(je)f(no)-5 b(\024)-44
b(sena)37 b(u)g(to)m(\024)-46 b(c-)71 795 y(k)-5 b(ama)39
b(oblik)-5 b(a)40 b FB(\034)51 b FH(=)39 b FB(q)t FH(\()p
FA(\030)s FH(\),)h(gdje)g(je)g FB(q)j FH(homogena)c(funk)m(cija)i
(stupnja)f(dv)-5 b(a)39 b(o)s(dred)p 3089 743 30 2 v
1 w(ena)h(k)m(o)s(e\014cijen)m(tima)71 914 y(pripadnih)28
b(jednad)m(\024)-46 b(zbi,)30 b FI(A)p FH(,)f(o)s(dnosno)f
FL(M)p FH(.)41 b(Razlik)-5 b(a)28 b(je)g(u)g(tom)22 b(\024)-44
b(sto)28 b(je)g(k)m(o)s(d)g(Sc)m(hr\177)-49 b(odingero)m(v)m(e)31
b(jednad)m(\024)-46 b(zb)s(e)71 1032 y(pripadna)29 b(mjera)g(no)-5
b(\024)-44 b(sena)30 b(samo)f(na)g(ju)m(\024)-46 b(zno)5
b(j)30 b(hemisferi,)h(dok)f(k)m(o)s(d)f(jednad)m(\024)-46
b(zb)s(e)30 b(plo)m(\024)-46 b(ce)30 b(pripadna)f(mjera)71
1151 y(je)48 b(an)m(tip)s(o)s(dalno)g(simetri)m(\024)-46
b(cna)50 b(i)e(no)-5 b(\024)-44 b(sena)49 b(na)f(ob)5
b(je)49 b(hemisfere.)93 b(Razlog)47 b(tome)i(mo)m(\024)-46
b(zemo)49 b(tra)m(\024)-46 b(ziti)48 b(u)68 1270 y(\024)-46
b(cinjenici)32 b(da)f(se)h(rje)-5 b(\024)-44 b(senje)33
b(jednad)m(\024)-46 b(zb)s(e)32 b(plo)m(\024)-46 b(ce)32
b(mo)m(\024)-46 b(ze)31 b(prik)-5 b(azati)32 b(k)-5 b(ao)30
b FB(u)e FH(=)f FB(u)2824 1285 y FC(1)2885 1270 y FH(+)19
b FB(u)3036 1285 y FC(2)3078 1270 y FH(,)32 b(gdje)f(je)g
FB(u)3504 1285 y FC(1)3577 1270 y FH(rje)-5 b(\024)-44
b(senje)71 1389 y(Sc)m(hr\177)-49 b(odingero)m(v)m(e)35
b(jednad)m(\024)-46 b(zb)s(e,)34 b(dok)f FB(u)1474 1404
y FC(2)1543 1389 y FH(=)p 1647 1334 56 4 v 28 w FB(u)1702
1404 y FC(1)1777 1389 y FH(rje)-5 b(\024)-44 b(sa)m(v)-5
b(a)33 b(k)m(onjugiran)m(u)h(Sc)m(hr\177)-49 b(odingero)m(vu)35
b(jednad)m(\024)-46 b(zbu.)293 1507 y(Na)m(v)m(edeno)27
b(\023)-46 b(cemo)28 b(ilustrirati)g(na)g(primjeru)h(niza)f(zada)m
(\023)-46 b(ca)28 b(u)g(k)m(o)5 b(jima)26 b(\023)-46
b(cemo)28 b(radi)g(jednosta)m(vnosti)71 1626 y(uzeti)33
b FB(d)28 b FH(=)f(1,)33 b(te)f(k)m(onstan)m(tne)j(k)m(o)s(e\014cijen)m
(te)g FL(M)27 b FH(=)g FB(a)p FH(:)968 1713 y Fu(8)968
1802 y(>)968 1832 y(<)968 2012 y(>)968 2042 y(:)1073
1803 y FB(@)1124 1818 y FF(tt)1184 1803 y FB(u)1240 1818
y FF(n)1312 1803 y FH(+)22 b FB(@)1461 1818 y FF(xx)1553
1803 y FH(\()p FB(a)1642 1761 y FC(2)1685 1803 y FB(@)1736
1818 y FF(xx)1828 1803 y FB(u)1884 1818 y FF(n)1934 1803
y FH(\))27 b(=)h(0)1741 1958 y FB(u)1797 1973 y FF(n)1847
1958 y FH(\(0\))f(=)h FB(\015)2154 1973 y FF(n)2231 1958
y FB(*)g FH(0)97 b(u)h(H)2728 1917 y FC(2)2770 1958 y
FH(\()p FI(R)2892 1917 y FF(d)2936 1958 y FH(\))1741
2102 y FB(u)1797 2060 y FD(0)1797 2126 y FF(n)1847 2102
y FH(\(0\))27 b(=)h(0)p FB(:)71 2279 y FH(Pripadna)33
b(rje)-5 b(\024)-44 b(senja)33 b(su)g(oblik)-5 b(a)33
b FB(u)1319 2294 y FF(n)1397 2279 y FH(=)27 b FB(u)1556
2243 y FC(+)1556 2304 y FF(n)1642 2279 y FH(+)22 b FB(u)1796
2243 y FD(\000)1796 2304 y FF(n)1859 2279 y FH(,)33 b(gdje)f(funk)m
(cije)i FB(u)2546 2243 y FD(\006)2546 2304 y FF(n)2642
2279 y FH(rje)-5 b(\024)-44 b(sa)m(v)-5 b(a)5 b(ju)34
b(zada)m(\023)-46 b(ce)1453 2371 y Fu(8)1453 2461 y(<)1453
2640 y(:)1599 2462 y FB(@)1650 2477 y FF(t)1683 2462
y FB(u)1739 2421 y FD(\006)1739 2487 y FF(n)1830 2462
y FH(=)27 b FE(\006)p FB(i@)2094 2477 y FF(x)2143 2462
y FH(\()p FB(a@)2283 2477 y FF(x)2332 2462 y FB(u)2388
2421 y FD(\006)2388 2487 y FF(n)2451 2462 y FH(\))1558
2656 y FB(u)1614 2615 y FD(\006)1614 2681 y FF(n)1678
2656 y FH(\(0\))g(=)1943 2589 y(1)p 1943 2633 49 4 v
1943 2724 a(2)2019 2656 y FB(\015)2070 2671 y FF(n)2120
2656 y FB(:)71 2878 y FH(Stoga)32 b(su)h(funk)m(cije)h
FB(v)881 2841 y FC(+)877 2902 y FF(n)972 2878 y FH(:=)28
b FB(@)1154 2893 y FF(x)1202 2878 y FB(u)1258 2841 y
FC(+)1258 2902 y FF(n)1354 2878 y FH(rje)-5 b(\024)-44
b(senja)33 b(niza)g(zada)m(\023)-46 b(ca)33 b(za)g(Sc)m(hr\177)-49
b(odingero)m(vu)34 b(jednad)m(\024)-46 b(zbu)1192 2970
y Fu(8)1192 3059 y(<)1192 3239 y(:)1338 3061 y FB(@)1389
3076 y FF(t)1422 3061 y FB(v)1473 3020 y FC(+)1469 3085
y FF(n)1564 3061 y FH(=)27 b FB(i@)1751 3076 y FF(x)1800
3061 y FH(\()p FB(a@)1940 3076 y FF(x)1988 3061 y FB(v)2039
3020 y FC(+)2035 3085 y FF(n)2103 3061 y FH(\))1297 3255
y FB(v)1348 3213 y FC(+)1344 3279 y FF(n)1412 3255 y
FH(\(0\))g(=)1677 3187 y(1)p 1677 3232 V 1677 3323 a(2)1753
3255 y FB(@)1804 3270 y FF(x)1852 3255 y FB(\015)1903
3270 y FF(n)1981 3255 y FB(*)g FH(0)97 b(u)h(H)2477 3213
y FC(1)2520 3255 y FH(\()p FI(R)2642 3213 y FF(d)2685
3255 y FH(\))p FB(:)71 3465 y FH(na)24 b(k)m(o)5 b(je)26
b(mo)m(\024)-46 b(zemo)25 b(primijeniti)g(rezultate)h(p)s(etog)e(o)s
(djeljk)-5 b(a.)40 b(U)25 b(skladu)g(s)g(njima)g(mjera)f
FB(\026)3347 3480 y FC(1)3389 3465 y FH(,)i(pridru)m(\024)-46
b(zena)71 3584 y(nizu)37 b(\()p FB(@)375 3599 y FF(x)423
3584 y FB(v)474 3548 y FC(+)470 3608 y FF(n)538 3584
y FH(\),)g(je)f(no)-5 b(\024)-44 b(sena)37 b(u)g(to)m(\024)-46
b(ck)-5 b(ama)36 b(oblik)-5 b(a)36 b(2)p FB(\031)t(\034)45
b FH(=)34 b FE(\000)p FH(4)p FB(\031)2333 3548 y FC(2)2376
3584 y FB(a)p FE(j)p FB(\030)5 b FE(j)2531 3548 y FC(2)2572
3584 y FH(.)55 b(Na)36 b(osno)m(vu)i(Leme)f(3.)f(mjera)g
FB(\026)3855 3599 y FC(2)71 3702 y FH(pridru)m(\024)-46
b(zena)40 b(nizu)h FB(@)835 3717 y FF(x)883 3702 y FB(v)934
3666 y FD(\000)930 3727 y FF(n)1037 3702 y FH(je)e(no)-5
b(\024)-44 b(sena)40 b(u)g(to)m(\024)-46 b(ck)-5 b(ama)39
b(oblik)-5 b(a)40 b(2)p FB(\031)t(\034)50 b FH(=)39 b(4)p
FB(\031)2679 3666 y FC(2)2721 3702 y FB(a)p FE(j)p FB(\030)5
b FE(j)2876 3666 y FC(2)2918 3702 y FH(,)41 b(o)s(dnosno)e(na)h(sjev)m
(erno)5 b(j)71 3821 y(hemisferi)34 b(plohe)f(P)812 3785
y FC(1)855 3821 y FH(.)293 3940 y(Zb)s(og)41 b(toga)h(je)g(parab)s(oli)
m(\024)-46 b(ck)-5 b(a)42 b(H-mjera)g FB(\026)g FH(pridru)m(\024)-46
b(zena)43 b(nizu)h FB(@)2681 3955 y FF(xx)2772 3940 y
FB(u)2828 3955 y FF(n)2922 3940 y FH(=)g FB(@)3093 3955
y FF(x)3142 3940 y FB(v)3193 3904 y FC(+)3189 3965 y
FF(n)3285 3940 y FH(+)29 b FB(@)3441 3955 y FF(x)3489
3940 y FB(v)3540 3904 y FD(\000)3536 3965 y FF(n)3646
3940 y FH(oblik)-5 b(a)71 4059 y FB(\026)27 b FH(=)h
FB(\026)320 4074 y FC(1)367 4059 y FH(+)5 b FB(\026)507
4074 y FC(2)555 4059 y FH(+)g(2)p FL(Re)16 b FB(\026)866
4074 y FC(12)947 4059 y FH(,)26 b(gdje)e(mjera)g FB(\026)1524
4074 y FC(12)1629 4059 y FH(o)s(dgo)m(v)-5 b(ara)24 b(pro)s(duktu)g
(funk)m(cija)i FB(@)2867 4074 y FF(x)2915 4059 y FB(v)2966
4022 y FC(+)2962 4083 y FF(n)3054 4059 y FH(i)e FB(@)3156
4074 y FF(x)3204 4059 y FB(v)3255 4022 y FD(\000)3251
4083 y FF(n)3319 4059 y FH(,)i(o)s(dnosno)e(ona)71 4177
y(je)j(v)-5 b(andijagonalni)27 b(elemen)m(t)i(matri)m(\024)-46
b(cne)28 b(mjere)1845 4176 y(~)1834 4177 y FA(\026)f
FH(pridru)m(\024)-46 b(zene)29 b(nizu)f(\()p FB(@)2704
4192 y FF(x)2752 4177 y FB(v)2803 4141 y FC(+)2799 4202
y FF(n)2866 4177 y FB(;)17 b(@)2961 4192 y FF(x)3009
4177 y FB(v)3060 4141 y FD(\000)3056 4202 y FF(n)3124
4177 y FH(\).)41 b(Kak)m(o)28 b(mjere)f FB(\026)3801
4192 y FC(1)3871 4177 y FH(i)71 4296 y FB(\026)130 4311
y FC(2)196 4296 y FH(ima)5 b(ju)25 b(disjunktne)i(nosa)m(\024)-46
b(ce,)27 b(to)d(na)g(osno)m(vu)h(Korolara)f(1,)h(o)s(dnosno)g
(dijagonalne)f(domininan)m(tnosti)71 4415 y(mjere)351
4414 y(~)341 4415 y FA(\026)o FH(,)34 b(zaklju)m(\024)-46
b(cujemo)36 b(da)e(je)g FB(\026)1365 4430 y FC(12)1475
4415 y FH(=)c(0.)48 b(Stoga)33 b(je)h(mjera)g FB(\026)g
FH(pridru)m(\024)-46 b(zena)35 b(jednad)m(\024)-46 b(zbi)35
b(grede)g(oblik)-5 b(a)71 4533 y FB(\026)28 b FH(=)g
FB(\026)321 4548 y FC(1)386 4533 y FH(+)22 b FB(\026)543
4548 y FC(2)585 4533 y FH(,)33 b(te)g(je)g(no)-5 b(\024)-44
b(sena)34 b(u)f(to)m(\024)-46 b(ck)-5 b(ama)33 b(oblik)-5
b(a)33 b(2)p FB(\031)t(\034)39 b FH(=)28 b FE(\006)p
FH(4)p FB(\031)2424 4497 y FC(2)2467 4533 y FB(a)p FE(j)p
FB(\030)5 b FE(j)2622 4497 y FC(2)2664 4533 y FH(,)28
b(\024)-44 b(sto)33 b(je)g(u)g(skladu)h(s)f(izv)m(edenom)71
4652 y(relacijom)g(\(48\).)1119 4963 y Fy(8.)60 b(Primjena)46
b(u)f(homogenizaciji)293 5158 y FH(V)-8 b(e)m(\023)-46
b(c)34 b(smo)h(sp)s(omen)m(uli)g(da)f(je)g(nastanak)g(H-mjera)g(v)m
(ezan)h(uz)f(prou)m(\024)-46 b(ca)m(v)-5 b(anje)35 b(homogenizacijskih)
71 5277 y(problema,)42 b(te)f(im)f(o)s(datle)g(p)s(otje)m(\024)-46
b(ce)40 b(naziv.)67 b(T)-8 b(o)m(\024)-46 b(cnije,)43
b(T)-8 b(artar)39 b(je)i(mo)s(delirao)f(o)s(dred)p 3241
5225 30 2 v(ene)h(hidro)s(dina-)71 5395 y(mi)m(\024)-46
b(ck)m(e)46 b(probleme)g(s)f(ciljem)g(b)s(oljeg)f(razumijev)-5
b(anja)45 b(turbulen)m(tnih)i(p)s(o)5 b(ja)m(v)-5 b(a.)79
b(Pri)45 b(tom)f(je)h(k)m(oristio)71 5514 y(mo)s(del)33
b(temeljen)h(na)e Fw(Stok)m(eso)m(v)m(om)j(susta)m(vu)p
FH(:)1457 5607 y Fu(\032)1548 5672 y FB(@)1599 5687 y
FF(t)1632 5672 y FL(v)23 b FE(\000)f FB(\027)6 b FE(4)p
FL(v)23 b FH(+)f FE(r)p FB(\031)32 b FH(=)c FL(b)2069
5815 y(div)17 b(v)29 b FH(=)f(0)f FB(:)3770 6010 y Fz(65)p
eop end
%%Page: 66 72
TeXDict begin 66 71 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)57 83 y FH(P)m(olaze)m(\023)-46
b(ci)46 b(o)s(d)f(gornjeg)g(susta)m(v)-5 b(a)46 b(izv)m(o)s(di)g(se)g
(sljede)m(\023)-46 b(ca)47 b(homogenizacijsk)-5 b(a)46
b(zada)m(\023)-46 b(ca.)81 b(Nek)-5 b(a)46 b(niz)-165
202 y(v)m(ektorskih)k(funk)m(cija)f FL(u)756 217 y FF(n)855
202 y FH(k)m(on)m(v)m(ergira)g(k)g FL(u)1494 217 y FC(0)1585
202 y FH(slab)s(o)f(u)g(prostoru)g(L)2422 166 y FC(2)2465
202 y FH(\([0)p FB(;)17 b(T)d FH(];)j(H)2838 166 y FC(1)2879
202 y FH(\()p FI(R)3001 166 y FC(3)3043 202 y FH(\)\))48
b(i)g(slab)s(o)g(*)g(u)-165 320 y(L)-104 284 y FD(1)-23
320 y FH(\([0)p FB(;)17 b(T)d FH(];)j(L)338 284 y FC(2)379
320 y FH(\()p FI(R)501 284 y FC(3)543 320 y FH(\)\))41
b(\(prijelazom)i(na)e(p)s(o)s(dniz)h(i)f(k)m(ori)-5 b(\024)-44
b(stenjem)44 b(ulaganja)c(H)2730 284 y FC(1)2773 320
y FH(\()p FI(R)2895 284 y FC(3)2937 320 y FH(\))j FB(,)-17
b FE(!)43 b FH(L)3232 284 y FC(6)3274 320 y FH(\()p FI(R)3396
284 y FC(3)3438 320 y FH(\))f(o)m(v)m(o)-165 439 y(mo)m(\024)-46
b(zemo)32 b(dobiti)g(iz)g(drugih)g(pretp)s(osta)m(vki,)i(no)e(to)f(nam)
h(u)g(o)m(v)m(om)e(\024)-46 b(casu)32 b(nije)g(v)-5 b(a)m(\024)-46
b(zno\),)32 b(pri)e(\024)-46 b(cem)m(u)33 b(sv)-5 b(aki)-168
558 y(\024)-46 b(clan)33 b(niza)g(zado)m(v)m(olja)m(v)-5
b(a:)-165 802 y(\(51\))609 661 y Fu(\032)701 728 y FB(@)752
743 y FF(t)784 728 y FL(u)834 743 y FF(n)907 728 y FE(\000)22
b FB(\027)6 b FE(4)p FL(u)1199 743 y FF(n)1272 728 y
FH(+)22 b FL(u)1420 743 y FF(n)1493 728 y FE(\002)g FL(rot)17
b FH(\()p FL(v)1809 743 y FC(0)1873 728 y FH(+)22 b FB(\025)p
FL(v)2073 743 y FF(n)2123 728 y FH(\))g(+)g FE(r)p FB(p)2413
743 y FF(n)2491 728 y FH(=)28 b FL(div)17 b FI(B)2810
743 y FF(n)2228 871 y FL(div)g(u)2413 886 y FF(n)2491
871 y FH(=)28 b(0)f FB(:)-165 1060 y FH(Pri)d(tome)g(pretp)s(osta)m
(vljamo)h(da)f(je)g FL(v)1207 1075 y FC(0)1276 1060 y
FE(2)29 b FH(L)1432 1024 y FC(2)1474 1060 y FH(\([0)p
FB(;)17 b(T)d FH(];)j(L)1835 1024 y FD(1)1915 1060 y
FH(\()p FI(R)2037 1024 y FC(3)2079 1060 y FH(\)\))t(+)t(L)2300
1024 y FD(1)2382 1060 y FH(\([0)p FB(;)g(T)d FH(];)j(L)2743
1024 y FC(3)2784 1060 y FH(\()p FI(R)2906 1024 y FC(3)2948
1060 y FH(\)\),)26 b(dok)e(su)g(funk)m(ci-)-165 1179
y(je)48 b FL(v)1 1194 y FF(n)98 1179 y FH(oblik)-5 b(a)48
b FL(v)443 1194 y FF(n)547 1179 y FH(=)53 b FL(v)722
1143 y FC(1)721 1204 y FF(n)804 1179 y FH(+)32 b FL(v)958
1143 y FC(2)957 1204 y FF(n)1055 1179 y FH(gdje)48 b
FL(v)1325 1143 y FC(1)1324 1204 y FF(n)1428 1179 y FE(\000)-16
b FB(*)53 b FH(0)47 b(u)h(L)1899 1143 y FF(q)1940 1179
y FH(\([0)p FB(;)17 b(T)d FH(];)j(L)2301 1143 y FD(1)2381
1179 y FH(\()p FI(R)2503 1143 y FC(3)2545 1179 y FH(\)\))48
b(i)g FL(v)2790 1143 y FC(2)2789 1204 y FF(n)2893 1179
y FE(\000)-16 b FB(*)53 b FH(0)47 b(u)h(prostoru)-165
1298 y(L)-104 1262 y FD(1)-23 1298 y FH(\([0)p FB(;)17
b(T)d FH(];)j(L)338 1262 y FF(r)377 1298 y FH(\()p FI(R)499
1262 y FC(3)542 1298 y FH(\))o(\))46 b(\(slab)s(o)f(*\))h(za)f(nek)m(e)
i FB(q)54 b(>)c FH(2)45 b(i)g FB(r)53 b(>)c FH(3.)83
b(Za)44 b(niz)j(tenzora)e(\()p FI(B)3042 1313 y FF(n)3092
1298 y FH(\))h(pretp)s(osta)m(v-)-165 1416 y(ljamo)28
b(da)g FI(B)310 1431 y FF(n)372 1416 y FE(!)f FI(B)579
1431 y FC(0)649 1416 y FH(jak)m(o)i(u)g(L)998 1380 y
FC(2)1040 1416 y FH(\([0)p FB(;)17 b(T)d FH(])22 b FE(\002)g
FI(R)1501 1380 y FC(3)1543 1416 y FH(;)17 b(M)1676 1431
y FC(3)p FD(\002)p FC(3)1817 1416 y FH(\),)30 b(dok)e(je)h(niz)g(\()p
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%%Page: 67 73
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%%Page: 68 74
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b(da)f(vrijedi)i(nejednak)m(ost)g(\(5\).)48 b(Ozna)m(\024)-46
b(cimo)35 b(s)g FB(X)42 b FH(k)m(omplemen)m(t)71 4772
y(skupa)27 b FB(Y)47 b FH(na)26 b(dijagonalno)5 b(j)26
b(pruzi)h FB(\032)f FH(\(Slik)-5 b(a)26 b(10\).)41 b(Nadalje,)27
b(napra)m(vimo)g(dek)m(omp)s(oziciju)h FB(C)35 b FH(=)27
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5031 y Fu(c)1380 5056 y FB(D)s(u)o FH(\()p FA(\030)s
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b FH(omed)p 781 5522 V 1 w(en)45 b(skup,)1236 5548 y
Fu(c)1230 5574 y FB(D)s FE(\001)f FH(je)g(in)m(tegralni)h(op)s(erator)f
(s)h(omed)p 2632 5522 V 1 w(enom)g(i)f(k)m(ompaktno)i(no)-5
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FE(F)47 b FH(izometrija,)39 b(to)e(je)g(i)h FB(D)i FH(tak)m(od)p
3782 5640 V(er)71 5811 y(Hilb)s(ert-Sc)m(hmidto)m(v)34
b(op)s(erator,)e(p)s(osebno)i(k)m(ompaktan.)3770 6010
y Fz(73)p eop end
%%Page: 74 80
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FB(b)p FH(\()p FA(\030)29 b FE(\000)d FA(\021)t FH(\))p
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h(je)g FE(k)1856 203 y Fu(c)1840 229 y FB(E)6 b(u)o FE(k)2023
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229 y FH(za)38 b FB(u)e FE(2)g(S)7 b FH(\()p FI(R)3160
192 y FF(d)3205 229 y FH(\).)58 b(Kak)m(o)38 b(je)-165
347 y FE(S)7 b FH(\()p FI(R)24 311 y FF(d)68 347 y FH(\))27
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311 y FF(d)689 347 y FH(\),)i(to)d(primjenom)i(Planc)m(herelo)m(v)m(og)
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476 y FH(.)57 595 y(Uzima)5 b(ju)m(\023)-46 b(ci)35 b(niz)g(bro)5
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832 y(paktan.)-165 1022 y FI(I)s(I.)64 b FH(Uk)m(olik)m(o)31
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1037 y FC(0)1622 1022 y FH(\()p FI(R)1744 986 y FF(d)1787
1022 y FH(\),)h(op)s(erator)e FB(C)37 b FH(je)30 b(omed)p
2676 970 30 2 v 1 w(en,)i(s)e(normom)g(manjom)-165 1140
y(\(ili)48 b(jednak)m(om\))h(o)s(d)f(2)p FE(k)p FB(a)p
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1169 y FD(1)1153 1140 y FH(.)91 b(P)m(osebno,)53 b(ak)m(o)48
b FB(b)1936 1155 y FF(m)2063 1140 y FE(\000)-16 b(!)54
b FB(b)48 b FH(u)g(L)2530 1104 y FD(1)2611 1140 y FH(\()p
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1259 y FB(C)-95 1274 y FF(m)14 1259 y FH(:=)37 b([)p
FB(A;)17 b(B)372 1274 y FF(m)444 1259 y FH(])39 b(k)m(on)m(v)m(ergira)h
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1393 y FF(m)1746 1378 y FH(.)57 1497 y(Med)p 209 1445
V 1 w(utim,)43 b(proizv)m(oljni)e FB(b)g FE(2)g FH(C)1260
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b(funk)m(ciju)i FB(a)e FH(s)g(glatk)m(e)g(plohe)h(\006)f(na)g
FI(R)3591 1971 y FF(d)3591 2032 y FD(\003)3634 2007 y
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2280 y FI(Lema)44 b(2.)114 b Fw(Nek)-5 b(a)38 b(je)g
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b(f)p FL(0)p FE(g)36 b(\000)-16 b(!)36 b FH(\006)h Fw(glatk)-5
b(a)37 b(pro)5 b(jek)m(cija)39 b(na)f(glatku)f(k)m(ompaktn)m(u)j(ploh)m
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b(!)28 b(1)p Fw(,)33 b(te)h FB(a)28 b FE(2)h FH(C\(\006\))q
Fw(.)45 b(T)-8 b(ada)33 b(pro)-5 b(\024)-44 b(sirenje)34
b(funk)m(cije)h FB(a)e Fw(de\014nirano)-165 2517 y(s)h
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b FH(\()o FB(\031)t FH(\()p FA(\030)s FH(\)\))32 b Fw(zado)m(v)m(olja)m
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1513 2602 V(en)m(u)f(uniformnom)g(neprekidnosti)h(funk)m(cije)f
FB(a)f FH(na)g(k)m(om-)-165 2772 y(paktu)j(\006)g(imamo:)19
2835 y Fu(\014)19 2895 y(\014)19 2954 y(\014)53 2949
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FH(~)-51 b FB(a)q FH(\()p FA(\021)t FH(\))546 2835 y
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2835 y Fu(\014)709 2895 y(\014)709 2954 y(\014)743 2949
y FB(a)p FH(\()p FB(\031)t FH(\()p FA(\030)s FH(\)\))21
b FE(\000)i FB(a)p FH(\()p FB(\031)t FH(\()p FA(\021)t
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FD(2)p FC([)p Fp(\030)r FF(;)p Fp(\021)s FC(])3093 2949
y FE(j)o(r)p FB(\031)t FH(\()p FA(\020)6 b FH(\))p FE(j)27
b FB(;)-165 3182 y FH(pri)j(\024)-46 b(cem)m(u)33 b(je)g(zadnja)g
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FH(.)57 3301 y(Zb)s(og)c(pretp)s(osta)m(vk)m(e)i(na)f(norm)m(u)h
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FB(";)17 b(\032)27 b(>)h FH(0)i(na)m(\023)-46 b(ci)31
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3420 y(tak)-5 b(a)m(v)32 b(da)h(je)g(za)f(\()p FA(\030)s
FB(;)17 b FA(\021)t FH(\))27 b FE(2)h FB(Y)21 b FH(\()p
FB(M)5 b(;)17 b(\032)p FH(\))33 b(desna)g(strana)g(zadnje)g(nejednak)m
(osti)i(omed)p 2833 3368 V 1 w(ena)d(s)h FB(")p FH(.)3324
3539 y FI(Q.E.D.)57 3693 y FH(Pro)m(vjerimo)i(primjenjiv)m(ost)h
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(primjera:)46 b(orig-)-165 3811 y(inalne)39 b(i)g(parab)s(oli)m(\024)
-46 b(ck)m(e)40 b(H-mjere.)63 b(U)39 b(oba)g(slu)m(\024)-46
b(ca)5 b(ja)40 b(imamo)f(neprekidn)m(u)j(funk)m(ciju)e
FB(a)f FH(de\014niran)m(u)h(na)-165 3930 y(glatk)m(o)5
b(j)34 b(k)m(ompaktno)5 b(j)36 b(plohi)f(\006)f(\()p
FB(S)1162 3894 y FF(d)p FD(\000)p FC(1)1338 3930 y FH(ili)h
FB(P)1531 3894 y FF(d)p FD(\000)p FC(1)1672 3930 y FH(\),)g(pro)-5
b(\024)-44 b(siren)m(u)36 b(na)e FI(R)2421 3894 y FF(d)2421
3955 y FD(\003)2499 3930 y FH(uzdu)m(\024)-46 b(z)35
b(krivulja)g(k)m(o)5 b(je)36 b(presije-)-165 4049 y(ca)5
b(ju)30 b(\006)g(i)f(p)s(okriv)-5 b(a)5 b(ju)30 b(cijeli)g(prostor)g
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b(o)s(dnosno)e(parab)s(ole)f(u)h(parab)s(oli)m(\024)-46
b(ck)m(om)-165 4168 y(slu)m(\024)g(ca)5 b(ju\).)42 b(Osta)5
b(je)26 b(jedino)f(p)s(ok)-5 b(azati)25 b(da)g(o)s(dgo)m(v)-5
b(ara)5 b(ju)m(\023)-46 b(ce)25 b(pro)5 b(jek)m(cije)27
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(2.)-165 4286 y(Direktnim)f(ra)m(\024)-46 b(cunom)24
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FI(R)1293 4369 y FC(+)1356 4405 y FH(\).)57 4542 y(Analogno)35
b(k)-5 b(ao)36 b(i)f(u)h(drugom)g(o)s(djeljku,)h(sad)g(se)f(dok)-5
b(azuje)37 b(teorem)f(egzistencije)i(za)e(p)s(o)s(op)m(\023)-46
b(cene)-165 4660 y(H-mjere.)-165 4814 y FI(T)-9 b(eorem)37
b(1.)100 b(\(p)s(osto)6 b(janje)39 b(p)s(o)s(op)m(\023)-53
b(cenih)39 b(H-mjera\))66 b Fw(Nek)-5 b(a)33 b(je)65
b FH(\()p FL(u)2534 4829 y FF(n)2584 4814 y FH(\))33
b Fw(niz)g(u)g FH(L)2960 4778 y FC(2)3002 4814 y FH(\()p
FI(R)3124 4778 y FF(d)3168 4814 y FH(;)17 b FI(C)3293
4778 y FF(r)3333 4814 y FH(\))p Fw(,)33 b(tak)-5 b(a)m(v)-165
4983 y(da)38 b FL(u)26 4998 y FF(n)144 4927 y FC(L)192
4895 y Fv(2)77 4983 y FE(\000)-16 b(\000)g FB(*)37 b
FL(0)i Fw(\(slab)s(o\).)62 b(T)-8 b(ada)39 b(p)s(osto)5
b(ji)39 b(p)s(o)s(dniz)44 b FH(\()p FL(u)1811 5002 y
FF(n)1857 4981 y Fq(0)1885 4983 y FH(\))38 b Fw(i)h FB(r)29
b FE(\002)e FB(r)42 b Fw(k)m(ompleksna)f(matri)m(\024)-46
b(cna)39 b(Radono)m(v)-5 b(a)-165 5101 y(mjera)32 b FA(\026)g
Fw(na)h FI(R)431 5065 y FF(d)497 5101 y FE(\002)22 b
FH(\006)33 b Fw(takv)-5 b(a)33 b(da)f(je)h(za)f(sv)-5
b(aki)34 b(izb)s(or)e(funk)m(cija)i FB(')2254 5116 y
FC(1)2296 5101 y FB(;)17 b(')2404 5116 y FC(2)2474 5101
y FE(2)28 b FH(C)2638 5116 y FC(0)2681 5101 y FH(\()p
FI(R)2803 5065 y FF(d)2847 5101 y FH(\))k Fw(i)h FB( )f
FE(2)c FH(C\(\006\))175 5305 y(lim)208 5375 y FF(n)254
5354 y Fq(0)330 5169 y Fu(Z)305 5469 y Ft(R)371 5448
y Fs(d)449 5305 y FE(F)531 5194 y Fu(\020)590 5305 y
FB(')654 5320 y FC(1)696 5305 y FL(u)746 5324 y FF(n)792
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b(F)1083 5194 y Fu(\020)1142 5305 y FB(')1206 5320 y
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FB( )t FE(i)1876 5648 y FH(=)2040 5512 y Fu(Z)1958 5812
y Ft(R)2024 5791 y Fs(d)2063 5812 y FD(\002)p FC(\006)2217
5648 y FB(')2281 5663 y FC(1)2323 5648 y FH(\()p FI(x)p
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y FH(\()p FI(x)p FH(\))p FB( )t FH(\()p FA(\030)s FH(\))17
b FB(d)p FA(\026)p FH(\()p FI(x)p FB(;)g FA(\030)s FH(\))25
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%%Page: 75 81
TeXDict begin 75 80 bop 3237 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cene)25 b(H-mjere)293 83 y FH(Mjeru)e FA(\026)f FH(iz)g(gornjeg)g
(teorema)h(naziv)-5 b(amo)23 b(\(\006\))f Fw(p)s(o)s(op)m(\023)-46
b(cenom)23 b(H-mjerom)f FH(pridru)m(\024)-46 b(zenom)24
b(p)s(o)s(dnizu)71 202 y(\()p FL(u)159 221 y FF(n)205
200 y Fq(0)233 202 y FH(\).)293 320 y(Direktna)33 b(p)s(osljedica)g
(gornjeg)f(teorema)h(je)g(sljede)m(\023)-46 b(ci)34 b(rezultat.)71
483 y FI(Korolar)42 b(1.)114 b Fw(P)m(o)s(op)m(\023)-46
b(cena)37 b(H-mjera)g FA(\026)g Fw(je)g(nenegativna,)i(o)s(dnosno)f(za)
f(sv)-5 b(aku)38 b(v)m(ektorsku)h(funk)m(ciju)71 601
y FA(\036)28 b FH(=)f(\()p FB(')375 616 y FC(1)417 601
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%%Page: 76 82
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312 y FD(0)1431 354 y FH(:)1486 243 y Fu(\020)1545 354
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b(azom)32 b(leme,)h(uv)m(edimo)g(p)s(okrate)f FB(r)e
FH(=)e FB(\032)p FH(\()p FB(T)14 b FH(\))p FB(;)j(s)27
b FH(=)71 4792 y FB(\032)p FH(\()p FB(S)6 b FH(\).)63
b(T)-8 b(o)m(\024)-46 b(ck)m(e)40 b FB(T)53 b FH(i)39
b FB(S)45 b FH(mo)m(\024)-46 b(zemo)40 b(tada)e(zapisati)i(k)-5
b(ao)39 b FB(T)52 b FH(=)39 b(\()p FB(r)2390 4755 y FC(2)2432
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FA(\030)2659 4807 y FC(0)2700 4792 y FH(\))p FB(;)g(S)45
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b(ck)m(e)27 b FB(S)k FH(i)26 b FB(S)2881 4925 y FC(0)2949
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FH(,)33 b(za)g(nek)m(e)h FB(a;)17 b(b)28 b FE(2)p 1058
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b(\024)-44 b(sto)33 b FB(f)2833 3955 y FD(0)2890 3991
y FH(i)-5 b(\024)-44 b(s)m(\024)e(ceza)m(v)-5 b(a)34
b(u)f(0.)293 4125 y(Med)p 445 4073 30 2 v 1 w(utim,)e(k)-5
b(ak)m(o)30 b(uzdu)m(\024)-46 b(z)32 b(parab)s(ola)d
FB(\034)41 b FH(k)m(omp)s(onen)m(ta)31 b(raste)f(kv)-5
b(adratno,)31 b(a)f FB(\030)k FH(linearno,)d(o)m(\024)-46
b(cekuje-)71 4243 y(mo)32 b(da)e(\023)-46 b(ce)33 b(prv)-5
b(a)33 b(dominirati,)g(o)s(dnosno)f(da)e(\023)-46 b(ce)33
b(o)s(cjena)f FE(j)p FB(T)2251 4207 y FD(0)2276 4243
y FB(S)2342 4207 y FD(0)2367 4243 y FE(j)2395 4258 y
FF(\034)2469 4243 y Fr(6)c FE(j)p FB(T)14 b(S)5 b FE(j)2766
4258 y FF(\034)2845 4243 y FH(p)s(o)m(vla)m(\024)-46
b(citi)33 b(da)f(je)71 4431 y(\(4\))1491 b FE(j)p FB(T)1786
4390 y FD(0)1811 4431 y FB(S)1877 4390 y FD(0)1902 4431
y FE(j)27 b Fr(6)h FE(j)p FB(T)14 b(S)5 b FE(j)p FB(:)71
4618 y FH(Zadnja)32 b(nejednak)m(ost)i(je)f(ekviv)-5
b(alen)m(tna)34 b(s)675 4806 y(\()t(~)-53 b FB(s)769
4779 y FH(~)759 4806 y FB(\030)802 4821 y FC(0)866 4806
y FE(\000)27 b FH(~)-54 b FB(r)10 b FH(~)-56 b FB(\021)1060
4821 y FC(0)1103 4806 y FH(\))1141 4764 y FC(2)1205 4806
y FH(+)22 b(\()t(~)-53 b FB(s)1387 4764 y FC(2)1435 4806
y FH(~)f FB(\034)1472 4821 y FC(0)1537 4806 y FE(\000)27
b FH(~)-53 b FB(r)1684 4764 y FC(2)1731 4806 y FH(~)f
FB(\033)1781 4821 y FC(0)1824 4806 y FH(\))1862 4764
y FC(2)1932 4806 y Fr(6)28 b FH(\()t(~)-53 b FB(r)2132
4779 y FH(~)2122 4806 y FB(\030)2165 4821 y FC(0)2229
4806 y FE(\000)27 b FH(~)-53 b FB(s)6 b FH(~)-55 b FB(\021)2423
4821 y FC(0)2465 4806 y FH(\))2503 4764 y FC(2)2568 4806
y FH(+)22 b(\()t(~)-53 b FB(r)2751 4764 y FC(2)2798 4806
y FH(~)f FB(\034)2835 4821 y FC(0)2900 4806 y FE(\000)27
b FH(~)-53 b FB(s)3046 4764 y FC(2)3093 4806 y FH(~)f
FB(\033)3143 4821 y FC(0)3186 4806 y FH(\))3224 4764
y FC(2)3267 4806 y FB(;)71 4993 y FH(o)s(dnosno)843 5112
y(\()t(~)h FB(r)928 5070 y FC(2)992 5112 y FE(\000)26
b FH(~)-53 b FB(s)1137 5070 y FC(2)1180 5112 y FH(\))7
b(~)-56 b FB(\021)1270 5070 y FC(2)1266 5136 y(0)1334
5112 y FH(+)22 b(\()t(~)-53 b FB(r)1517 5070 y FC(4)1582
5112 y FE(\000)26 b FH(~)-53 b FB(s)1727 5070 y FC(4)1770
5112 y FH(\))5 b(~)-54 b FB(\033)1867 5070 y FC(2)1863
5136 y(0)1937 5112 y Fr(6)28 b FH(\()t(~)-53 b FB(r)2127
5070 y FC(2)2191 5112 y FE(\000)27 b FH(~)-53 b FB(s)2337
5070 y FC(2)2379 5112 y FH(\))2427 5085 y(~)2417 5112
y FB(\030)2465 5070 y FC(2)2460 5136 y(0)2529 5112 y
FH(+)23 b(\()t(~)-53 b FB(r)2713 5070 y FC(4)2777 5112
y FE(\000)26 b FH(~)-53 b FB(s)2922 5070 y FC(4)2965
5112 y FH(\))5 b(~)-54 b FB(\034)3056 5070 y FC(2)3045
5136 y(0)3099 5112 y FB(:)71 5308 y FH(Kak)m(o)40 b(je)g(p)s(o)g(pretp)
s(osta)m(v)m(ci)46 b(~)-53 b FB(r)43 b(>)i FH(~)-53 b
FB(s)p FH(,)42 b(te)j(~)-54 b FB(\033)1648 5323 y FC(0)1732
5308 y FH(=)1858 5259 y FC(1)p FD(\000)p FC(\(2)p FF(\031)8
b FC(~)-43 b FF(\021)2109 5271 y Fv(0)2147 5259 y FC(\))2177
5227 y Fv(2)p 1858 5286 356 4 v 1994 5343 a FC(2)p FF(\031)2224
5308 y FB(;)22 b FH(~)-54 b FB(\034)2310 5323 y FC(0)2393
5308 y FH(=)2520 5259 y FC(1)p FD(\000)p FC(\(2)p FF(\031)2740
5239 y FC(~)2733 5259 y FF(\030)2767 5271 y Fv(0)2804
5259 y FC(\))2834 5227 y Fv(2)p 2520 5286 352 4 v 2653
5343 a FC(2)p FF(\031)2881 5308 y FH(,)42 b(to)e(zadnja)g(nejednak)m
(ost)71 5427 y(prelazi)33 b(u)601 5720 y(~)-56 b FB(\021)646
5679 y FC(2)642 5744 y(0)711 5720 y FH(+)22 b(\()t(~)-53
b FB(r)894 5679 y FC(2)958 5720 y FH(+)26 b(~)-53 b FB(s)1102
5679 y FC(2)1144 5720 y FH(\))1199 5579 y Fu(\022)1282
5652 y FH(1)22 b FE(\000)h FH(\(2)p FB(\031)10 b FH(~)-55
b FB(\021)1647 5667 y FC(0)1689 5652 y FH(\))1727 5616
y FC(2)p 1282 5697 488 4 v 1472 5788 a FH(2)p FB(\031)1779
5579 y Fu(\023)1853 5594 y FC(2)1923 5720 y Fr(6)2038
5693 y FH(~)2028 5720 y FB(\030)2076 5679 y FC(2)2071
5744 y(0)2140 5720 y FH(+)22 b(\()t(~)-53 b FB(r)2323
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y FC(2)2574 5720 y FH(\))2629 5549 y Fu( )2717 5652 y
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5549 y Fu(!)3288 5572 y FC(2)3347 5720 y FB(;)3770 6010
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b(cenja)25 b(H-mjera)i(i)h(primjene)-165 83 y FH(pa)k(je)h(nejednak)m
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349 y FC(2)1274 390 y FH(\))1329 250 y Fu(\022)1412 323
y FH(1)22 b FE(\000)g FH(\(2)p FB(\031)t(\030)5 b FH(\))1814
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y(1)p 738 627 227 4 v 738 718 a(\(2)p FB(\031)t FH(\))922
689 y FC(2)991 569 y Fu(\000)1036 650 y FH(\()t(~)-53
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609 y FC(2)1372 650 y FH(\)\(2)p FB(\031)t(\030)5 b FH(\))1642
609 y FC(4)1706 650 y FE(\000)22 b FH(\(2\()t(~)-53 b
FB(r)1977 609 y FC(2)2041 650 y FH(+)26 b(~)-53 b FB(s)2185
609 y FC(2)2228 650 y FH(\))22 b FE(\000)h FH(1\)\(2)p
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b(je)h(graf)f(funk)m(cije)i FB(g)h FH(parab)s(ola)d(s)h(tjemenom)g(u)g
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FF(s)2179 957 y Fv(2)2216 979 y FC(\))2255 939 y FH(,)27
b(to)f(je)f(ona)g(opada)5 b(ju)m(\023)-46 b(ca)26 b(na)f(in)m(terv)-5
b(alu)-165 1094 y([0)p FB(;)17 b FH(1)29 b FE(\000)283
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1069 y(\024)1060 1094 y(Sto)m(vi)-5 b(\024)-44 b(se)45
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b FH(\))3450 1058 y FC(2)3492 1013 y Fu(\001)3584 1094
y Fr(>)-165 1248 y FB(g)-98 1167 y Fu(\000)-53 1248 y
FH(\(2)p FB(\031)t(\021)t FH(\))183 1212 y FC(2)225 1167
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FE(2)c FH([)p FB(\030)5 b(;)997 1209 y FC(1)p 974 1225
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b(je)g(za)k(~)-54 b FB(r)s(;)21 b FH(~)-53 b FB(s)27
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a(\()s(~)-41 b FF(r)2650 1267 y Fv(2)2687 1288 y FC(+)s(~)g
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b(ca)34 b(o)s(d)3257 1209 y FC(1)p 3257 1225 39 4 v 3257
1282 a(2)3306 1248 y FH(,)e(to)h(je)945 1507 y(\()t(~)-53
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FB(T)2035 1466 y FD(0)2059 1507 y FB(S)2125 1466 y FD(0)2150
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FE(j)-168 1726 y FH(\024)-46 b(cime)33 b(je)g(nejednak)m(ost)h(\(1\))e
(u)h(o)m(v)m(om)h(slu)m(\024)-46 b(ca)5 b(ju)33 b(dok)-5
b(azana)33 b(za)g(\(2)p FB(\031)2244 1699 y FH(~)2234
1726 y FB(\030)2277 1741 y FC(0)2318 1726 y FH(\))2356
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 @endspecial 723 3379 a Fo(Slik)-6 b(a)35 b(13.)47 b
Fn(Graf)31 b(funk)m(cije)f Fd(g)s Fn(.)57 3663 y FH(Za)47
b(vrijednosti)721 3637 y(~)711 3663 y FB(\030)754 3678
y FC(0)843 3663 y FH(v)m(e)m(\023)-46 b(ce)50 b(o)s(d)1307
3624 y FC(1)p 1233 3641 188 4 v 1233 3713 a(2)p FF(\031)1318
3651 y FD(p)p 1382 3651 39 4 v 62 x FC(2)1430 3663 y
FH(,)i(mo)m(\024)-46 b(zemo)48 b(se)h(op)s(et)e(p)s(oslu)m(\024)-46
b(zti)49 b(trik)m(om)f(s)g(Lagrangeo)m(vim)-165 3823
y(teoremom)31 b(srednje)h(vrijednosti)f(\(primijetimo)g(da)g(smo)g
(izbacili)g(kriti)m(\024)-46 b(cni)32 b(dio)2833 3797
y(~)2822 3823 y FB(\030)2865 3838 y FC(0)2935 3823 y
FE(\030)c FH(0\).)43 b(Stoga)30 b(je)g(za)-165 3942 y(neki)j
FB(c)28 b FE(2)g FH([)319 3903 y FC(1)p 244 3919 188
4 v 244 3991 a(2)p FF(\031)329 3929 y FD(p)p 393 3929
39 4 v 62 x FC(2)441 3942 y FB(;)17 b FH(1])548 4241
y FE(j)595 4216 y FH(~)576 4241 y FB(T)633 4256 y FC(0)675
4241 y FB(;)736 4216 y FH(~)719 4241 y FB(S)779 4256
y FC(0)822 4241 y FE(j)850 4259 y FF(\030)918 4241 y
FH(=)1136 4174 y(1)p 1032 4218 257 4 v 1032 4309 a FE(j)p
FB(f)1119 4281 y FD(0)1143 4309 y FH(\()p FB(c)p FH(\))p
FE(j)1298 4241 y(j)1345 4216 y FH(~)1326 4241 y FB(T)1383
4256 y FC(0)1443 4216 y FH(~)1426 4241 y FB(S)1486 4256
y FC(0)1528 4241 y FE(j)1556 4256 y FF(\034)1630 4241
y FH(=)1857 4174 y(1)p 1744 4218 275 4 v 1744 4309 a(2\(2)p
FB(\031)t FH(\))p FB(c)2028 4241 y FE(j)2075 4216 y FH(~)2056
4241 y FB(T)2113 4256 y FC(0)2172 4216 y FH(~)2155 4241
y FB(S)2215 4256 y FC(0)2258 4241 y FE(j)2286 4256 y
FF(\034)2360 4241 y Fr(6)2517 4174 y FH(1)p 2475 4218
132 4 v 2475 4238 a FE(p)p 2558 4238 49 4 v 83 x FH(2)2617
4241 y FE(j)2664 4216 y FH(~)2645 4241 y FB(T)2702 4256
y FC(0)2761 4216 y FH(~)2744 4241 y FB(S)2804 4256 y
FC(0)2847 4241 y FE(j)2875 4256 y FF(\034)2921 4241 y
FB(;)-171 4512 y FH(\024)-44 b(sto)33 b(p)s(o)m(vla)m(\024)-46
b(ci)34 b(da)e(je)89 4772 y(\()t(~)-53 b FB(r)24 b FH(+)i(~)-53
b FB(s)p FH(\))377 4731 y FC(2)420 4772 y FE(j)467 4747
y FH(~)448 4772 y FB(T)505 4787 y FC(0)564 4747 y FH(~)547
4772 y FB(S)607 4787 y FC(0)650 4772 y FE(j)678 4731
y FC(2)748 4772 y FH(=)27 b(\()t(~)-53 b FB(r)25 b FH(+)h(~)-53
b FB(s)p FH(\))1140 4731 y FC(2)1199 4661 y Fu(\020)1258
4772 y FE(j)1305 4747 y FH(~)1286 4772 y FB(T)1343 4787
y FC(0)1402 4747 y FH(~)1386 4772 y FB(S)1446 4787 y
FC(0)1488 4772 y FE(j)1516 4731 y FC(2)1516 4797 y FF(\034)1585
4772 y FH(+)22 b FE(j)1730 4747 y FH(~)1711 4772 y FB(T)1768
4787 y FC(0)1827 4747 y FH(~)1810 4772 y FB(S)1870 4787
y FC(0)1913 4772 y FE(j)1941 4731 y FC(2)1941 4799 y
FF(\030)1983 4661 y Fu(\021)2070 4772 y Fr(6)2185 4704
y FH(3)p 2185 4749 V 2185 4840 a(2)2244 4772 y(\()t(~)-53
b FB(r)2329 4731 y FC(2)2393 4772 y FH(+)26 b(~)-53 b
FB(s)2537 4731 y FC(2)2580 4772 y FH(\))2618 4731 y FC(2)2660
4772 y FE(j)2707 4747 y FH(~)2688 4772 y FB(T)2745 4787
y FC(0)2804 4747 y FH(~)2788 4772 y FB(S)2848 4787 y
FC(0)2890 4772 y FE(j)2918 4731 y FC(2)2918 4797 y FF(\034)2992
4772 y Fr(6)28 b FH(6)p FE(j)p FB(T)14 b(S)5 b FE(j)3338
4731 y FC(2)3380 4772 y FB(:)-165 5040 y FH(Time)35 b(smo)f(dok)-5
b(azali)34 b(nejednak)m(ost)i(\(2\))d(uz)i(k)m(onstan)m(tu)1973
5015 y(~)1951 5040 y FB(C)i FH(=)30 b(26.)46 b(Nejednak)m(ost)36
b(\(1\))31 b(\023)-46 b(ce)34 b(slijediti)h(ak)m(o)-165
5159 y(p)s(ok)-5 b(a)m(\024)-46 b(zemo)32 b(da)h(je)g
FE(j)p FB(T)611 5174 y FC(0)653 5159 y FB(S)713 5174
y FC(0)756 5159 y FE(j)27 b Fr(6)h FB(C)986 5174 y FC(1)1028
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y(Zadnja)k(nejednak)m(ost)i(je)f(ekviv)-5 b(alen)m(tna)34
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FH(\()p FB(\034)6 b(;)17 b(\030)5 b FH(\))22 b(+)g FB(\032)p
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b(;)17 b(\030)5 b FH(\))21 b(+)31 b(~)-58 b FB(\032)p
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%%Page: 83 89
TeXDict begin 83 88 bop 3585 -116 a Fx(Do)r(datak)71
93 y FH(Med)p 223 41 30 2 v 1 w(utim)33 b(k)-5 b(ak)m(o)33
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8 42 4 v 85 x FB(b)p FH(\))1287 57 y FC(4)1358 93 y Fr(6)28
b FH(16\()p FB(a)22 b FH(+)g FB(b)p FH(\),)33 b(to)f(je)91
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729 4 v 121 x FH(\(2)p FB(\031)t(\034)11 b FH(\))490
371 y FC(2)555 400 y FH(+)22 b(\(2)p FB(\031)t FE(j)p
FB(\030)5 b FE(j)p FH(\))941 371 y FC(4)1004 400 y FH(+)1113
355 y Fv(4)1091 279 y Fu(q)p 1190 279 739 4 v 1190 400
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FH(\))1888 371 y FC(4)1929 259 y Fu(\023)2002 282 y FC(4)2022
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FB(\031)t(\034)g FH(\))2508 359 y FC(2)2556 400 y FH(+)22
b(\(2)p FB(\031)t FE(j)p FB(\030)5 b FE(j)p FH(\))2942
359 y FC(4)2988 400 y FH(+)22 b(\(2)p FB(\031)t(\033)t
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FH(\))-11 b(+)6 b(\(2)p FB(\031)t FE(j)p FB(\021)t FE(j)p
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694 y FB(;)71 979 y FH(pa)32 b(nejednak)m(ost)j(\(5\))d(vrijedi)h(uz)g
FB(C)1401 994 y FC(2)1471 979 y FH(=)28 b(2.)293 1101
y(Za)k(dok)-5 b(azati)32 b(preostalu)i(nejednak)m(ost)g(uo)m(\024)-46
b(cimo)33 b(da)f(je)141 1327 y FB(C)218 1286 y FC(2)211
1352 y(1)260 1327 y FE(j)307 1302 y FH(~)288 1327 y FB(T)345
1342 y FC(0)404 1302 y FH(~)388 1327 y FB(S)448 1342
y FC(0)490 1327 y FE(j)518 1286 y FC(2)518 1352 y FF(\034)587
1327 y FE(\000)22 b(j)p FB(T)771 1342 y FC(0)814 1327
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506 4 v 491 1654 a FH(2)p FB(\031)t(a)22 b FH(+)g(\(2)p
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y Fu(\023)1717 1468 y FC(2)1782 1586 y FE(\000)1881 1415
y Fu( )2306 1518 y FB(a)p 1970 1563 724 4 v 1970 1583
a Fu(p)p 2070 1583 624 4 v 86 x FH(\(2)p FB(\031)t(a)p
FH(\))2305 1640 y FC(2)2369 1669 y FH(+)g(\(2)p FB(\031)t
FH(\))2651 1640 y FC(4)2725 1586 y FE(\000)3171 1518
y FB(b)p 2835 1563 714 4 v 2835 1583 a Fu(p)p 2935 1583
614 4 v 86 x FH(\(2)p FB(\031)t(b)p FH(\))3160 1640 y
FC(2)3224 1669 y FH(+)g(\(2)p FB(\031)t FH(\))3506 1640
y FC(4)3558 1415 y Fu(!)3637 1438 y FC(2)168 1918 y FH(=)272
1747 y Fu( )351 1807 y(\020)410 1918 y FB(C)480 1933
y FC(1)760 1850 y FB(a)p 533 1895 506 4 v 533 1986 a
FH(2)p FB(\031)t(a)g FH(+)g(\(2)p FB(\031)t FH(\))996
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1895 724 4 v 1179 1915 a Fu(p)p 1279 1915 624 4 v 86
x FH(\(2)p FB(\031)t(a)p FH(\))1514 1972 y FC(2)1579
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1807 y Fu(\021)1994 1918 y FE(\000)2094 1807 y Fu(\020)2153
1918 y FB(C)2223 1933 y FC(1)2503 1850 y FB(b)p 2276
1895 496 4 v 2276 1986 a FH(2)p FB(\031)t(b)g FH(+)g(\(2)p
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1850 y FB(b)p 2913 1895 714 4 v 2913 1915 a Fu(p)p 3012
1915 614 4 v 3012 2001 a FH(\(2)p FB(\031)t(b)p FH(\))3237
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1972 y FC(4)3636 1807 y Fu(\021)3696 1747 y(!)235 2250
y FE(\001)285 2080 y Fu( )364 2139 y(\020)423 2250 y
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3004 y Fv(3)p 611 3013 34 3 v 611 3053 a(2)668 2985 y
FH(,)48 b(to)c(se)h(lak)m(o)g(vidi)g(da)f(o)s(dgo)m(v)-5
b(ara)5 b(ju)m(\023)-46 b(ca)44 b(nejednak)m(ost)j(za)d
FB(\034)56 b FH(k)m(omp)s(onen)m(tu)46 b(vrijedi)f(u)71
3172 y(slu)m(\024)-46 b(ca)5 b(ju)34 b FB(C)475 3187
y FC(1)545 3172 y FH(=)27 b(2\(2)p FB(\031)t FH(\))881
3136 y FC(2)923 3172 y FH(.)293 3294 y(Analogno)32 b(se)i(dok)-5
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(tu.)45 b(Naime,)34 b(imamo)e(da)h(je)94 3520 y FB(C)171
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3520 y FB(T)298 3535 y FC(0)357 3495 y FH(~)341 3520
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3768 596 4 v 1196 3788 a Fu(p)p 1296 3788 496 4 v 86
x FH(2)p FB(\031)t(b)g FH(+)g(\(2)p FB(\031)t FH(\))1749
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3953 y(!)171 4455 y FE(\001)221 4285 y Fu( )267 4345
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FB(C)141 5197 y FC(1)211 5182 y FH(=)f(2\(2)p FB(\031)t
FH(\))547 5146 y FC(2)589 5182 y FH(.)293 5303 y(Time)34
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y Fz(83)p eop end
%%Page: 84 90
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b(cimo)36 b(sa)g FB(S)2268 47 y FD(0)2329 83 y FH(i)g
FB(S)2458 47 y FD(0)2452 111 y FC(0)2530 83 y FH(zrcalne)h(slik)m(e)h
(to)m(\024)-46 b(cak)-5 b(a)35 b FB(S)42 b FH(i)36 b
FB(S)3619 98 y FC(0)-165 202 y FH(obzirom)d(na)f(os)h
FB(\030)k FH(\(Slik)-5 b(a)32 b(14\).)1090 2722 y @beginspecial
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 @endspecial 723 3207 a Fo(Slik)-6 b(a)26 b(14.)44 b
Fn(Prik)-5 b(az)22 b(v)-5 b(arijabli)23 b(u)f(slu)m(\024)-43
b(ca)5 b(ju)23 b(sign)15 b Fd(\034)20 b Fn(=)10 b Fa(\000)p
Fn(sign)15 b Fd(\033)s Fn(.)57 3647 y FH(Tvrdnju)26 b(\023)-46
b(cemo)28 b(dok)-5 b(azati)27 b(p)s(olaze)m(\023)-46
b(ci)28 b(o)s(d)f(nejednak)m(osti)j(trokuta)d FE(j)p
FB(T)2548 3662 y FC(0)2590 3647 y FB(S)2650 3662 y FC(0)2693
3647 y FE(j)g Fr(6)h FE(j)p FB(T)2938 3662 y FC(0)2981
3647 y FB(S)3047 3611 y FD(0)3041 3675 y FC(0)3083 3647
y FE(j)12 b FH(+)g FE(j)p FB(S)3305 3611 y FD(0)3299
3675 y FC(0)3341 3647 y FB(S)3401 3662 y FC(0)3443 3647
y FE(j)p FH(.)42 b(Na)-165 3797 y(osno)m(vu)33 b(I.)g(dijela)g(dok)-5
b(aza)32 b(je)h FE(j)p FB(T)1031 3812 y FC(0)1074 3797
y FB(S)1140 3761 y FD(0)1134 3825 y FC(0)1176 3797 y
FE(j)27 b Fr(6)i FB(C)1407 3814 y FC(I)1448 3747 y FD(j)p
FF(T)11 b(S)1576 3716 y Fq(0)1599 3747 y FD(j)p 1448
3774 173 4 v 1468 3831 a FF(r)r FC(+)p FF(s)1658 3797
y Fr(6)29 b FB(C)1834 3814 y FC(I)1875 3747 y FD(j)p
FF(T)11 b(S)t FD(j)p 1875 3774 150 4 v 1884 3831 a FF(r)r
FC(+)p FF(s)2034 3797 y FH(.)44 b(S)33 b(druge)g(strane)g(je)f(za)h
FB(r)m(;)17 b(s)28 b Fr(>)g FH(1)769 4229 y FE(j)p FB(S)863
4188 y FD(0)857 4254 y FC(0)899 4229 y FB(S)959 4244
y FC(0)1002 4229 y FE(j)f FH(=)1171 4162 y FE(j)p FB(S)1265
4126 y FD(0)1289 4162 y FB(S)6 b FE(j)p 1171 4207 212
4 v 1233 4298 a FB(s)1279 4269 y FC(2)1420 4229 y Fr(6)29
b FH(2)1585 4162 y FE(j)p FB(T)14 b(S)t FE(j)p 1585 4207
192 4 v 1636 4298 a FB(s)1682 4269 y FC(2)1814 4229 y
Fr(6)28 b FH(4)2031 4162 y FE(j)p FB(T)14 b(S)5 b FE(j)p
1978 4207 298 4 v 1978 4298 a FB(r)2025 4269 y FC(2)2089
4298 y FH(+)22 b FB(s)2233 4269 y FC(2)2313 4229 y Fr(6)28
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 @endspecial 959 2009 a Fo(Slik)-6 b(a)35 b(15.)47 b
Fn(Prik)-5 b(az)31 b(v)-5 b(arijabli)31 b(u)f(slu)m(\024)-43
b(ca)5 b(ju)31 b Fd(d)26 b(>)f Fn(1.)293 2293 y FH(U)33
b(tom)f(slu)m(\024)-46 b(ca)5 b(ju)34 b(je)71 2511 y(\(6\))1260
b FE(j)p FB(S)1544 2526 y FC(0)1587 2511 y FB(T)1644
2526 y FC(0)1686 2511 y FE(j)28 b Fr(6)g FE(j)p FB(S)1935
2526 y FC(0)1977 2511 y FB(S)2043 2470 y FD(0)2037 2536
y FC(0)2080 2511 y FE(j)21 b FH(+)h FE(j)p FB(S)2321
2470 y FD(0)2315 2536 y FC(0)2358 2511 y FB(T)2415 2526
y FC(0)2457 2511 y FE(j)p FB(:)71 2729 y FH(Kak)m(o)33
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b FH(=)h FE(j)p FB(S)1258 2921 y FC(0)1300 2906 y FB(S)1366
2865 y FD(0)1360 2930 y FC(0)1402 2906 y FE(j)1430 2923
y Fp(\030)1503 2906 y FH(=)1616 2835 y FE(j)p FB(S)6
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2835 y FE(j)2288 2852 y Fp(\030)p 2076 2883 V 2097 2974
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2835 y FE(j)p FB(S)6 b(T)13 b FE(j)2726 2852 y Fp(\030)2793
2835 y FH(+)22 b FE(j)p FB(T)14 b(S)3056 2799 y FD(0)3081
2835 y FE(j)3109 2852 y Fp(\030)p 2534 2883 620 4 v 2737
2974 a FB(r)25 b FH(+)d FB(s)3163 2906 y(:)71 3126 y
FH(Kak)m(o)33 b(to)m(\024)-46 b(ck)m(e)35 b FB(T)639
3143 y Fp(\030)717 3126 y FH(i)f FB(S)838 3143 y Fp(\030)883
3126 y FB(;)17 b(S)993 3090 y FD(0)987 3157 y Fp(\030)1065
3126 y FH(redom)34 b(le)m(\024)-46 b(ze)35 b(na)e(k)m(oncen)m(tri)m
(\024)-46 b(cnim)36 b(kru)m(\024)-46 b(znicama)35 b(radijusa)e
FB(r)s FH(,)g(o)s(dnosno)h FB(s)p FH(,)f(te)71 3258 y(su)g(pri)g(tom)f
FB(T)605 3275 y Fp(\030)683 3258 y FH(i)h FB(S)809 3222
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3535 238 4 v 2085 3626 a FB(r)25 b FH(+)d FB(s)2320 3558
y(:)293 3819 y FH(S)40 b(druge)g(strane,)j(to)m(\024)-46
b(ck)m(e)41 b FB(S)1323 3783 y FD(0)1388 3819 y FH(i)f
FB(T)54 b FH(ima)5 b(ju)40 b FA(\030)j FH(k)m(omp)s(onen)m(te)e
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y(mo)m(\024)-46 b(zemo)33 b(primijeniti)h(prvi)f(dio)g(dok)-5
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FE(j)p FB(S)1307 4169 y FD(0)1301 4235 y FC(0)1343 4210
y FB(T)1400 4225 y FC(0)1443 4210 y FE(j)27 b Fr(6)h
FB(C)1673 4227 y FC(I)1873 4143 y FE(j)p FB(S)1967 4107
y FD(0)1992 4143 y FB(T)14 b FE(j)p 1715 4187 535 4 v
1715 4279 a FB(\032)p FH(\()p FB(S)1869 4250 y FD(0)1894
4279 y FH(\))22 b(+)g FB(\032)p FH(\()p FB(T)14 b FH(\))2287
4210 y(=)27 b FB(C)2460 4227 y FC(I)2502 4143 y FE(j)p
FB(S)2596 4107 y FD(0)2620 4143 y FB(T)14 b FE(j)p 2502
4187 217 4 v 2504 4279 a FB(s)22 b FH(+)g FB(r)2729 4210
y(:)71 4481 y FH(Kak)m(o)33 b(je)726 4599 y FE(j)p FB(S)820
4558 y FD(0)844 4599 y FB(T)14 b FE(j)943 4558 y FC(2)1013
4599 y FH(=)27 b FE(j)p FB(S)1210 4558 y FD(0)1235 4599
y FB(T)14 b FE(j)1334 4558 y FC(2)1334 4624 y FF(\034)1402
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y FB(T)13 b FE(j)1717 4558 y FC(2)1717 4626 y Fp(\030)1790
4599 y FH(=)27 b FE(j)p FB(S)6 b(T)14 b FE(j)2086 4558
y FC(2)2086 4624 y FF(\034)2154 4599 y FH(+)22 b FE(j)p
FB(S)2346 4558 y FD(0)2370 4599 y FB(T)14 b FE(j)2469
4558 y FC(2)2469 4626 y Fp(\030)2542 4599 y Fr(6)28 b
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b FE(j)3198 4558 y FC(2)3198 4626 y Fp(\030)71 4813 y
FH(to)32 b(je)h FE(j)p FB(S)390 4777 y FD(0)384 4841
y FC(0)426 4813 y FB(T)483 4828 y FC(0)526 4813 y FE(j)27
b Fr(6)h FB(C)756 4829 y FC(I)798 4763 y FD(j)p FF(S)t(T)11
b FD(j)p 798 4790 150 4 v 807 4847 a FF(s)p FC(+)p FF(r)957
4813 y FH(,)33 b(pa)f(tvrdnja)h(leme)h(slijedi)f(iz)g(relacija)g(\(6\))
f(i)h(\(7\))f(uz)h FB(C)i FH(=)27 b FB(C)3230 4829 y
FC(I)3284 4813 y FH(+)22 b(4.)293 4931 y(Slu)m(\024)-46
b(ca)5 b(j)33 b FB(r)e(>)c(s)33 b FH(dok)-5 b(auje)32
b(se)i(analogno.)3561 5050 y FI(Q.E.D.)3770 6010 y Fz(85)p
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y FF(d)293 1639 y FH(Pri)c(prou)m(\024)-46 b(ca)m(v)-5
b(anju)33 b(k)m(ompleksnih)k(funk)m(cija)d(de\014niranih)g(na)g
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FI(R)2977 1603 y FF(d)3050 1639 y FE(\000)-16 b(!)28
b FI(C)p FH(,)34 b(k)m(oristio)g(sam)71 1758 y(oznak)m(e)c(k)m(o)5
b(je)30 b(je)e(uv)m(eo)i(Lauren)m(t)f(Sc)m(h)m(w)m(artz.)45
b Fw(Multiindeks)35 b FH(je)29 b FB(d)p FH(-tork)-5 b(a)27
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y FA(\013)27 b FH(=)h(\()p FB(\013)378 1891 y FC(1)420
1876 y FB(;)17 b(:)g(:)g(:)f(;)h(\013)701 1894 y FF(d)745
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y FC(0)1036 1876 y FH(,)33 b(za)f(k)m(o)5 b(ju)34 b(de\014niramo)f
Fw(duljin)m(u)1556 2075 y FE(j)p FA(\013)p FE(j)27 b
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FI(N)596 2523 y FF(d)596 2588 y FC(0)671 2560 y FH(m)m(ultiindeksa)h
(imamo)d(parcijalan)g(ured)p 2169 2508 30 2 v 1 w(a)5
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FB(\013)3011 2575 y FC(1)3082 2560 y FE(\024)d FB(\014)3242
2575 y FC(1)3284 2560 y FH(,)k FB(:)17 b(:)g(:)f FH(,)32
b FB(\013)3595 2577 y FF(d)3666 2560 y FE(\024)d FB(\014)3827
2577 y FF(d)3871 2560 y FH(.)71 2678 y(Za)f(v)m(ektor)h
FI(x)f FH(=)g(\()p FB(x)788 2642 y FC(1)831 2678 y FB(;)17
b(:)g(:)g(:)e(;)i(x)1104 2642 y FF(d)1148 2678 y FH(\))28
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FE(2)g FI(N)1805 2642 y FF(d)1805 2706 y FC(0)1877 2678
y FH(de\014niramo)h(p)s(otenciranje)g FI(x)2968 2642
y Fp(\013)3059 2678 y FH(:=)e(\()p FB(x)3282 2642 y FC(1)3325
2678 y FH(\))3363 2642 y FF(\013)3412 2654 y Fv(1)3470
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y FF(d)3741 2678 y FH(\))3779 2642 y FF(\013)3828 2657
y Fs(d)3871 2678 y FH(.)71 2797 y(Binomne)33 b(k)m(o)s(e\014cijen)m(te)
i(de\014niramo)e(form)m(ulom:)1304 2908 y Fu(\022)1377
2981 y FA(\013)1380 3117 y(\014)1453 2908 y Fu(\023)1554
3049 y FH(:=)1684 2908 y Fu(\032)1909 2965 y Fp(\013)p
FC(!)p 1786 2981 327 4 v 1786 3041 a Fp(\014)r FC(!\()p
Fp(\013)p FD(\000)p Fp(\014)r FC(\)!)2220 3004 y FH(za)g
FA(\014)d FE(\024)f FA(\013)1901 3135 y FH(0)270 b(ina)m(\024)-46
b(ce)66 b(.)71 3301 y(Deriv)-5 b(aciju)33 b(reda)f FA(\013)h
FH(de\014niramo)g(s)1122 3567 y FB(@)1178 3526 y Fp(\013)1269
3567 y FH(:=)28 b FB(@)1456 3521 y FF(\013)1505 3533
y Fv(1)1451 3597 y FC(1)1564 3567 y FE(\001)17 b(\001)g(\001)e
FB(@)1753 3518 y FF(\013)1802 3533 y Fs(d)1748 3601 y
FF(d)1873 3567 y FH(=)2303 3500 y FB(@)2359 3464 y FD(j)p
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FI(R)955 3921 y FF(d)1019 3957 y FH(\023)-46 b(cemo)23
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b FI(x)p FH(\))28 b(=)f(\()p FB(t;)17 b(x)3251 3921 y
FC(1)3294 3957 y FB(;)g(:)g(:)g(:)f(;)h(x)3568 3921 y
FF(d)3612 3957 y FH(\),)25 b(o)m(vis-)71 4075 y(no)g(o)g(tome)c(\024)
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b(cno)26 b(za)f Fw(dualn)m(u)h FH(v)-5 b(arijablu)25
b(pi)-5 b(\024)-44 b(semo)27 b FA(\021)k FH(=)d(\()p
FB(\021)2993 4090 y FC(0)3035 4075 y FB(;)17 b(\021)3127
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b(;)17 b FA(\030)s FH(\).)71 4194 y(Za)32 b(deriv)-5
b(aciju)34 b(k)m(oristimo)f(sim)m(b)s(ole)h FE(r)1521
4209 y Ft(y)1601 4194 y FH(=)28 b(\()p FB(@)1794 4209
y FF(t)1827 4194 y FB(;)17 b FE(r)1954 4209 y Ft(x)2004
4194 y FH(\),)33 b(te)g(tak)m(od)p 2420 4142 30 2 v 1
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b(j)38 b(v)-5 b(arijabli)37 b FB(\030)1459 4328 y FF(i)1527
4313 y FH(ozna)m(\024)-46 b(cujemo)38 b(s)g(p)s(o)s(dign)m(utim)f
(indeksom)j(uz)d(znak)i(deriv)-5 b(acije:)71 4432 y FB(@)127
4395 y FF(i)158 4432 y FH(.)293 4550 y(Za)34 b(matricu)h
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b(cujemo)35 b FB(i)p FH(-ti)g(redak)g(\(stupac\))h(matrice)f
FI(A)p FH(.)50 b(T)-8 b(ak)m(od)p 3754 4498 V 1 w(er,)71
4710 y(za)44 b(kv)-5 b(adratn)m(u)44 b(matricu)h FI(A)e
FH(reda)h FB(d)g FH(nad)g(p)s(oljem)g FI(F)g FH(rabimo)g(oznaku)2840
4642 y FE(\000)-66 b(!)2853 4710 y FI(A)59 b FE(2)48
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FH(za)c(v)m(ektor)e(\024)-46 b(cije)71 4864 y(k)m(omp)s(onen)m(te,)52
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FB(i;)17 b(j)6 b FH(\))p FB(;)33 b(i;)17 b(j)58 b FH(=)51
b(1)p FB(;)17 b(:)g(:)g(:)f(;)h(d)p FH(,)49 b(su)e(zadane)g(s)3593
4796 y FE(\000)-66 b(!)3607 4864 y FI(A)3704 4879 y FF(ij)3822
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b(zi)33 b(elemen)m(te)i(matrice)e FI(A)f FH(slo)m(\024)-46
b(zene)34 b(u)f(v)m(ektor)h(iz)f FI(F)3286 4992 y FF(d)3326
4961 y Fv(2)3367 5028 y FH(.)71 5194 y FL(e)114 5209
y FF(i)177 5194 y FH(-)f(ozna)m(\024)-46 b(cuje)34 b(v)m(ektor)f(k)-5
b(anonsk)m(e)34 b(baze)g(u)e FI(R)1749 5158 y FF(d)1793
5194 y FH(.)71 5360 y FI(R)155 5324 y FF(d)155 5385 y
FD(\003)231 5360 y FH(-)g(ozna)m(\024)-46 b(cuje)33 b(skup)h
FI(R)1009 5324 y FF(d)1075 5360 y FE(n)22 b(f)p FI(0)p
FE(g)p FH(.)71 5526 y(S)125 5490 y FF(d)p FD(\000)p FC(1)300
5526 y FH(-)32 b(ozna)m(\024)-46 b(cuje)33 b(jedini)m(\024)-46
b(cn)m(u)34 b(sferu)g(u)e FI(R)1587 5490 y FF(d)1631
5526 y FH(.)71 5692 y(P)137 5656 y FF(d)229 5692 y FH(-)47
b(ozna)m(\024)-46 b(cuje)48 b(glatku)g(razinsku)h(hip)s(erploh)m(u)g(u)
e FI(R)2129 5656 y FC(1+)p FF(d)2319 5692 y FH(de\014niran)m(u)h
(relacijom)h(P)3293 5656 y FF(d)3390 5692 y FH(:=)k FE(f)p
FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))53 b(:)71
5811 y(\(2)p FB(\031)t(\034)11 b FH(\))308 5775 y FC(2)373
5811 y FH(+)22 b(\(2)p FB(\031)t FE(j)p FA(\030)s FE(j)p
FH(\))765 5775 y FC(4)833 5811 y FH(=)28 b(1)p FE(g)p
FH(.)3770 6010 y Fz(87)p eop end
%%Page: 88 94
TeXDict begin 88 93 bop -165 -116 a Fx(P)n(o)r(op)n(\023)-39
b(cenja)25 b(H-mjera)i(i)h(primjene)-165 88 y FH(Za)37
b(funk)m(ciju)j FB( )i FH(de\014niran)m(u)e(na)e(S)1125
52 y FF(d)p FD(\000)p FC(1)1306 88 y FH(s)g FB( )1445
103 y FC(0)1526 88 y FH(ozna)m(\024)-46 b(cujemo)40 b(njeno)e(homogeno)
h(pro)-5 b(\024)-44 b(sirenje)39 b(reda)f(0)g(na)-165
207 y FI(R)-81 171 y FF(d)-81 231 y FD(\003)-38 207 y
FH(,)33 b(o)s(dnosno)f FB( )467 222 y FC(0)510 207 y
FH(\()p FA(\030)s FH(\))c(:=)f FB( )t FH(\()934 161 y
Fp(\030)p 913 184 84 4 v 913 244 a FD(j)p Fp(\030)r FD(j)1007
207 y FH(\).)-165 411 y Fw(P)m(arab)s(oli)m(\024)-46
b(ck)-5 b(a)32 b(pro)5 b(jek)m(cija)34 b FB(p)f FH(skupa)g
FI(R)1259 374 y FC(1+)p FF(d)1259 435 y FD(\003)1433
411 y FH(na)g(P)1635 374 y FF(d)1712 411 y FH(je)f(de\014nirana)i
(relacijom)554 731 y FB(p)p FH(\()p FB(\034)6 b(;)17
b FA(\030)s FH(\))27 b(:=)983 560 y Fu( )1462 663 y FB(\034)p
1071 708 835 4 v 1071 728 a Fu(p)p 1171 728 735 4 v 86
x FH(\(2)p FB(\031)t(\034)11 b FH(\))1408 785 y FC(2)1473
814 y FH(+)22 b(\(2)p FB(\031)t FE(j)p FA(\030)s FE(j)p
FH(\))1865 785 y FC(4)1916 731 y FB(;)2363 663 y FA(\030)p
1970 708 840 4 v 1997 775 a Fv(4)1975 728 y Fu(p)p 2075
728 735 4 v 86 x FH(\(2)p FB(\031)t(\034)11 b FH(\))2312
785 y FC(2)2376 814 y FH(+)22 b(\(2)p FB(\031)t FE(j)p
FA(\030)s FE(j)p FH(\))2768 785 y FC(4)2819 560 y Fu(!)2915
731 y FB(:)-165 1116 y Fw(P)m(arab)s(oli)m(\024)-46 b(cku)33
b(pro)5 b(jek)m(ciju)34 b FH(to)m(\024)-46 b(ck)m(e)34
b FB(T)42 b FH(=)27 b(\()p FB(\034)1367 1133 y FF(T)1427
1116 y FB(;)17 b FA(\030)1522 1133 y FF(T)1581 1116 y
FH(\))28 b FE(2)g FI(R)1825 1080 y FC(1+)p FF(d)1825
1141 y FD(\003)1999 1116 y FH(na)k(P)2200 1080 y FF(d)2277
1116 y FH(ozna)m(\024)-46 b(cujemo)34 b(s)1201 1348 y
FB(T)1258 1363 y FC(0)1328 1348 y FH(=)28 b(\()p FB(\034)1512
1363 y FC(0)1554 1348 y FB(;)17 b FA(\030)1649 1363 y
FC(0)1691 1348 y FH(\))28 b(:=)g FB(p)p FH(\()p FB(\034)2017
1365 y FF(T)2076 1348 y FB(;)17 b FA(\030)2171 1365 y
FF(T)2230 1348 y FH(\))p FB(:)-165 1640 y(\032)32 b FH(-)h(ozna)m(\024)
-46 b(cuje)33 b(preslik)-5 b(a)m(v)g(anje)34 b(de\014nirano)f(izrazom)g
FB(\032)p FH(\()p FB(\034)6 b(;)17 b FA(\030)s FH(\))27
b(:=)2232 1601 y Fv(4)2210 1554 y Fu(p)p 2309 1554 V
2309 1640 a FH(\(2)p FB(\031)t(\034)11 b FH(\))2546 1611
y FC(2)2611 1640 y FH(+)22 b(\(2)p FB(\031)t FE(j)p FA(\030)s
FE(j)p FH(\))3003 1611 y FC(4)3044 1640 y FH(.)-165 1876
y FI(Op)s(eracije)38 b(na)g(funk)m(cijama)-165 2058 y
FH(U)32 b(o)m(v)m(om)i(radu)e(k)m(oristimo)i(sljede)m(\023)-46
b(cu)34 b(de\014niciju)g(F)-8 b(ouriero)m(v)m(e)34 b(pretv)m(orb)s(e)
929 2334 y FE(F)10 b FH(\()p FB(f)h FH(\)\()p FA(\030)s
FH(\))27 b(=)1427 2308 y(^)1406 2334 y FB(f)11 b FH(\()p
FA(\030)s FH(\))27 b(=)1726 2198 y Fu(Z)1781 2424 y Ft(R)1847
2402 y Fs(d)1907 2334 y FB(e)1952 2293 y FD(\000)p FC(2)p
FF(\031)s(i)p Ft(x)p FD(\001)p Fp(\030)2236 2334 y FB(f)11
b FH(\()p FI(x)p FH(\))p FB(d)p FI(x)p FB(;)-165 2614
y FH(dok)30 b(\023)-46 b(ce)33 b(njezin)g(in)m(v)m(erz)i(biti)e(zadan)g
(relacijom)987 2865 y(\026)959 2890 y FE(F)10 b FH(\()p
FB(f)h FH(\)\()p FI(x)p FH(\))27 b(=)1463 2864 y(\024)1441
2890 y FB(f)11 b FH(\()p FI(x)p FH(\))28 b(=)1766 2755
y Fu(Z)1822 2980 y Ft(R)1888 2959 y Fs(d)1947 2890 y
FB(e)1992 2849 y FC(2)p FF(\031)s(i)p Ft(x)p FD(\001)p
Fp(\030)2217 2890 y FB(f)11 b FH(\()p FA(\030)s FH(\))p
FB(d)p FA(\030)s FB(:)-165 3198 y FH(S)-57 3172 y(~)-79
3198 y FB(f)44 b FH(ozna)m(\024)-46 b(cujemo)33 b(promjen)m(u)h
(predznak)-5 b(a)33 b(argumen)m(ta,)g(to)f(jest,)1448
3404 y(~)1427 3430 y FB(f)10 b FH(\()p FB(x)p FH(\))28
b(:=)g FB(f)11 b FH(\()p FE(\000)p FB(x)p FH(\))p FB(:)-165
3666 y FH(P)m(oissono)m(v)-5 b(a)34 b(zagrada)e(diferencijabilnih)i
(funk)m(cija)g FB(a)e FH(i)h FB(b)g FH(je)g(funk)m(cija)g(de\014nirana)
g(izrazom)1050 3898 y FE(f)p FB(a;)17 b(b)p FE(g)27 b
FH(:=)h FE(r)1527 3915 y Fp(\030)1572 3898 y FB(a)23
b FE(\001)e(r)1778 3913 y Ft(x)1829 3898 y FB(b)i FE(\000)g(r)2076
3913 y Ft(x)2126 3898 y FB(a)g FE(\001)f(r)2333 3915
y Fp(\030)2378 3898 y FB(b:)-165 4134 y FH([)p FB(A;)17
b(B)5 b FH(])27 b(:=)h FB(AB)g FE(\000)22 b FB(B)5 b(A)33
b FH(ozna)m(\024)-46 b(cuje)33 b(k)m(om)m(utator)g(op)s(eratora)f
FB(A)h FH(i)f FB(B)5 b FH(.)-165 4375 y FE(\012)28 b
FH(-)g(ozna)m(\024)-46 b(cuje)29 b(v)m(ektorski)h(tenzorski)g(pro)s
(dukt,)f(de\014niran)h(s)e(\()p FL(a)13 b FE(\012)g FL(b)p
FH(\))p FL(v)29 b FH(=)f(\()p FL(v)14 b FE(\001)f FL(b)p
FH(\))p FL(a)27 b FH(\(p)s(o)h(k)m(omp)s(onen)m(tama)-165
4494 y(\()p FL(a)21 b FE(\012)i FL(b)p FH(\))129 4509
y FF(ij)223 4494 y FH(=)k FB(a)377 4509 y FF(i)p 408
4413 42 4 v 408 4494 a FB(b)449 4509 y FF(j)489 4494
y FH(\).)-165 4735 y Fr(\002)33 b FH(-)f(ozna)m(\024)-46
b(cuje)33 b(tenzorski)h(pro)s(dukt)f(funk)m(cija)h(\(distribucija\))f
(u)g(razli)m(\024)-46 b(citim)33 b(v)-5 b(arijablama.)-165
4976 y FE(h)17 b(\001)31 b(j)h(\001)17 b(i)34 b FH(-)h(predsta)m(vlja)i
(\(k)m(ompleksni\))g(sk)-5 b(alarni)36 b(pro)s(dukt)g(v)m(ektora)g(iz)g
(nek)m(og)g(unitarog)f(prostora.)51 b(U)-165 5095 y(slu)m(\024)-46
b(ca)5 b(ju)34 b(k)-5 b(ad)34 b(su)g(argumen)m(ti)h(sk)-5
b(alarnog)33 b(pro)s(dukta)h(k)m(onstan)m(tni)h(v)m(ektori,)g(o)s
(dnosno)f(matrice)g(na)f FI(C)3590 5059 y FF(d)3634 5095
y FH(,)-165 5214 y(kra)m(\023)-46 b(ce)30 b(\023)-46
b(cemo)33 b(ga)f(zapisiv)-5 b(ati)34 b(s)f FL(u)22 b
FE(\001)g FL(v)28 b FH(=)1273 5139 y Fu(P)1395 5214 y
FB(u)1451 5229 y FF(i)1484 5214 y FH(\026)-52 b FB(v)1528
5229 y FF(i)1558 5214 y FH(,)33 b(o)s(dnosno)g FI(A)21
b FE(\001)h FI(B)27 b FH(=)h FL(tr)r FH(\()p FI(AB)2641
5177 y FD(\003)2683 5214 y FH(\).)-165 5455 y FE(h\001)p
FB(;)17 b FE(\001i)23 b FH(-)h(predsta)m(vlja)i(seskvilinearan)i
(dualni)d(pro)s(dukt,)i(k)m(o)5 b(jeg)26 b(uzimamo)g(da)e(je)h(an)m
(tilinearan)h(p)s(o)f(prv)m(o)5 b(j)-165 5574 y(v)-5
b(arijabli,)36 b(linearan)g(p)s(o)g(drugo)5 b(j.)53 b(U)35
b(slu)m(\024)-46 b(ca)5 b(ju)37 b(k)-5 b(ad)36 b(su)g(argumen)m(ti)h
(dualnog)f(pro)s(dukta)g(v)m(ektorsk)m(e)i(ili)-165 5692
y(matri)m(\024)-46 b(cne)45 b(funk)m(cije,)50 b(in)m(terp)s(etiramo)c
(ga)e(k)-5 b(ao)44 b FE(h)p FL(u)p FB(;)17 b FL(v)q FE(i)48
b FH(=)2005 5612 y Fu(R)2088 5692 y FL(v)31 b FE(\001)f
FL(u)p FH(,)48 b(o)s(dnosno)d FE(h)p FI(A)p FB(;)17 b
FI(B)p FE(i)47 b FH(=)3201 5612 y Fu(R)3284 5692 y FI(B)30
b FE(\001)g FI(A)49 b FH(=)-165 5731 y Fu(R)-82 5811
y FL(tr)q FH(\()p FI(BA)190 5775 y FD(\003)232 5811 y
FH(\).)-165 6010 y Fz(88)p eop end
%%Page: 89 95
TeXDict begin 89 94 bop 3630 -116 a Fx(Oznak)n(e)71 83
y FI(Prostori)36 b(funk)m(cija)j(i)f(distribucija)71
253 y FH(C)141 216 y FF(m)141 281 y FC(0)213 253 y FH(:)j(Banac)m(ho)m
(v)30 b(prostor)e(funk)m(cija)f(\024)-46 b(cije)29 b(sv)m(e)h(deriv)-5
b(acije)29 b(do)f(reda)h FB(m)g FH(opada)5 b(ju)28 b(prema)h(n)m(uli)g
(u)g(b)s(esk)m(on-)71 371 y(a)m(\024)-46 b(cnosti.)71
608 y(C)141 572 y FF(m)141 640 y(b)213 608 y FH(:)44
b(Banac)m(ho)m(v)33 b(prostor)g(funk)m(cija)e(\024)-46
b(cije)33 b(su)g(sv)m(e)h(deriv)-5 b(acije)33 b(do)g(reda)g
FB(m)f FH(omed)p 2995 557 30 2 v 1 w(ene.)71 846 y(C)141
810 y FD(1)141 870 y FF(c)222 846 y FH(\([)p FB(a;)17
b(b)p FH(]\))q(:)42 b(V)-8 b(ektorski)31 b(prostor)f(restrik)m(cija)i
(na)e([)p FB(a;)17 b(b)p FH(])g FE(\\)h FI(R)29 b FH(funk)m(cija)i(iz)f
(C)2847 810 y FD(1)2847 870 y FF(c)2929 846 y FH(\()p
FI(R)p FH(\))o(,)h(pri)c(\024)-46 b(cem)m(u)32 b(su)e
FB(a;)17 b(b)28 b FE(2)p 71 884 84 4 v 71 964 a FI(R)o
FH(.)71 1202 y(L)132 1165 y FF(p)175 1202 y FH(:)41 b(Leb)s(esgueo)m(v)
31 b(prostor,)f(to)e(jest)i(prostor)f(klasa)g(ekviv)-5
b(alencije)31 b(sk)m(oro)f(svuda)g(jednakih)g(izmjerivih)71
1320 y(funk)m(cija)j(takvih)h(da)e(je)h(norma)1409 1623
y FE(k)p FB(u)p FE(k)1564 1652 y FC(L)1612 1630 y Fs(p)1682
1623 y FH(=)1786 1482 y Fu(\022)1859 1487 y(Z)1976 1623
y FE(j)p FB(u)p FH(\()p FB(x)p FH(\))p FE(j)2219 1582
y FF(p)2260 1623 y FB(dx)2366 1482 y Fu(\023)2440 1505
y FC(1)p FF(=p)71 1896 y FH(za)g(1)27 b Fr(6)h FB(p)g(<)f
FE(1)p FH(,)33 b(o)s(dnosno)1159 2115 y FE(k)p FB(u)p
FE(k)1314 2144 y FC(L)1362 2123 y Fq(1)1464 2115 y FH(=)28
b(inf)7 b FE(f)p FB(C)34 b FE(2)28 b FI(R)g FH(:)f FE(j)p
FB(u)p FH(\()p FB(x)p FH(\))p FE(j)g Fr(6)h FB(C)35 b
FH(\(ss)q(\))p FE(g)p FB(;)71 2334 y FH(k)m(ona)m(\024)-46
b(cna.)71 2453 y(Uk)m(olik)m(o)42 b(nema)f(straha)g(o)s(d)f(zabune,)k
(norme)d(u)g(L)1985 2417 y FF(p)2068 2453 y FH(prostorima)d(\023)-46
b(cemo)41 b(kra)m(\023)-46 b(ce)41 b(ozna)m(\024)-46
b(ca)m(v)-5 b(ati)41 b(s)g FE(k)22 b(\001)g(k)3828 2483
y FF(p)3871 2453 y FH(.)71 2590 y(Sk)-5 b(alarni)33 b(pro)s(dukt)f(na)h
(L)1018 2553 y FC(2)1090 2590 y FH(\023)-46 b(ce)33 b(nam)g(biti)g
(zadan)g(relacijom)1459 2854 y FE(h)17 b FB(u)27 b FE(j)g
FB(v)21 b FE(i)27 b FH(=)1891 2718 y Fu(Z)2007 2854 y
FB(u)p FH(\()p FB(x)p FH(\))p 2194 2767 183 4 v FB(v)t
FH(\()p FB(x)p FH(\))p FB(dx:)71 3136 y FH(Leb)s(esgueo)m(vu)37
b(mjeru)f(ozna)m(\024)-46 b(cujemo)36 b(s)g FB(\025)p
FH(,)g(te)g(in)m(tegraciju)g(p)s(o)f FI(R)2481 3100 y
FF(d)2560 3136 y FH(obzirom)g(na)h(Leb)s(esgueo)m(vu)h(mjeru)71
3255 y(s)c FB(d)p FI(x)27 b FH(=)h FB(d\025)p FH(\()p
FI(x)p FH(\))71 3492 y FB(W)14 b FH(\()p FB(a;)j(b)p
FH(;)g FB(X)r(;)g(Y)k FH(\):)43 b(Hilb)s(erto)m(v)34
b(prostor)e(de\014niran)i(izrazom)794 3712 y FB(W)14
b FH(\()p FB(a;)j(b)p FH(;)g FB(X)r(;)g(Y)k FH(\))28
b(:=)f FE(f)p FB(u)g FH(:)h FB(u)f FE(2)h FH(L)1945 3671
y FC(2)1988 3712 y FH(\([)p FB(a;)17 b(b)p FH(];)g FB(X)8
b FH(\))p FB(;)17 b(u)2487 3671 y FD(0)2539 3712 y FE(2)28
b FH(L)2694 3671 y FC(2)2736 3712 y FH(\([)p FB(a;)17
b(b)p FH(];)g FB(Y)22 b FH(\))p FE(g)71 3958 y FH(pri)35
b(\024)-46 b(cem)m(u)39 b(su)g FB(X)r(;)17 b(Y)59 b FH(dv)-5
b(a)38 b(k)m(ompleksna)i(Hilb)s(erto)m(v)-5 b(a)38 b(prostora)g(takv)-5
b(a)37 b(da)h(je)g FB(X)3136 3888 y FF(g)3101 3958 y
FB(,)-17 b FE(!)36 b FB(Y)22 b FH(,)39 b(te)f FB(a;)17
b(b)37 b FE(2)p 3787 3878 84 4 v 37 w FI(R)p FH(.)71
4086 y(Pripadna)c(norma)f(je)h FE(k)p FB(u)p FE(k)1059
4037 y FC(2)1059 4115 y FF(W)1174 4086 y FH(=)28 b FE(k)p
FB(u)p FE(k)1433 4037 y FC(2)1433 4115 y(L)1481 4093
y Fv(2)1518 4115 y FC(\([)p FF(a;b)p FC(];)p FF(X)6 b
FC(\))1832 4086 y FH(+)22 b FE(k)p FB(u)2036 4049 y FD(0)2061
4086 y FE(k)2111 4034 y FC(2)2111 4115 y(L)2159 4093
y Fv(2)2196 4115 y FC(\([)p FF(a;b)p FC(];)p FF(Y)17
b FC(\))2480 4086 y FB(:)71 4220 y FH(U)42 b(slu)m(\024)-46
b(ca)5 b(ju)43 b(k)-5 b(ad)42 b(je)g FB(X)52 b FH(=)43
b FB(V)5 b(;)34 b(Y)65 b FH(=)44 b FB(V)1530 4184 y FD(0)1555
4220 y FH(,)h(gdje)d(je)g FB(V)2038 4184 y FD(0)2105
4220 y FH(dual)h(Hilb)s(erto)m(v)m(og)f(prostora)g FB(V)22
b FH(,)44 b(kra)m(\023)-46 b(ce)40 b(\023)-46 b(cemo)71
4338 y(ozna)m(\024)g(ca)m(v)-5 b(ati)33 b FB(W)14 b FH(\()p
FB(a;)j(b)p FH(;)g FB(V)k FH(\))28 b(:=)f FB(W)14 b FH(\()p
FB(a;)j(b)p FH(;)g FB(V)5 b(;)17 b(V)1654 4302 y FD(0)1679
4338 y FH(\).)71 4576 y FE(S)7 b FH(:)42 b(Sc)m(h)m(w)m(artzo)m(v)32
b(prostor,)e(i.e.)43 b(prostor)29 b(C)1647 4539 y FD(1)1757
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b(aki)30 b FB(k)g FE(2)f FI(N)3369 4591 y FC(0)3440 4576
y FH(p)s(olunorma)1025 4795 y FE(j)p FB(\036)p FE(j)1139
4813 y FF(k)1212 4795 y FH(=)e(sup)q FE(fj)p FI(x)1599
4754 y Fp(\013)1662 4795 y FB(@)1713 4813 y Fp(\014)1770
4795 y FB(\036)p FH(\()p FI(x)p FH(\))p FE(j)p FH(;)17
b FI(x)27 b FE(2)h FI(R)2299 4754 y FF(d)2343 4795 y
FB(;)17 b FE(j)p FA(\013)k FH(+)h FA(\014)s FE(j)28 b
Fr(6)g FB(k)s FE(g)71 5014 y FH(k)m(ona)m(\024)-46 b(cna.)44
b FE(S)39 b FH(je)31 b(F)-8 b(r)m(\023)-46 b(ec)m(heto)m(v)33
b(prostor)e(s)h(toplogijom)f(generiranom)h(familijom)f(gore)g(na)m(v)m
(edenih)j(p)s(olu-)71 5133 y(normi.)71 5370 y(H)144 5334
y FF(s)184 5370 y FH(:)45 b(Sob)s(oljevljev)35 b(prostor)f(k)m(o)5
b(jeg)34 b(sa)m(\024)-46 b(cinja)m(v)-5 b(a)5 b(ju)35
b(sv)m(e)g(distribucije)g(takv)m(e)g(da)f(je)f FB(\025)3140
5334 y FF(s)3186 5370 y FH(^)-55 b FB(u)29 b FE(2)h FH(L)3422
5334 y FC(2)3464 5370 y FH(,)k(pri)d(\024)-46 b(cem)m(u)71
5489 y(je)33 b FB(\025)234 5453 y FF(s)273 5489 y FH(\()p
FA(\030)s FH(\))28 b(=)f(\(1)22 b(+)g FE(j)p FH(2)p FB(\031)t
FA(\030)s FE(j)959 5453 y FC(2)1000 5489 y FH(\))1038
5453 y FF(s=)p FC(2)1155 5489 y FH(.)43 b(H)1298 5453
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userdict /end-hook known{end-hook}if
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