%!PS-Adobe-2.0 %%Creator: dvips(k) 5.96.1 Copyright 2007 Radical Eye Software %%Title: catalan.dvi %%CreationDate: Thu Feb 5 16:51:01 2015 %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMTI10 CMR10 CMCSC10 CMR9 CMMI10 CMMI7 CMR7 CMEX10 %%+ CMMI5 CMR5 CMSY10 CMR8 CMR6 CMTI8 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips catalan.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2015.02.05:1650 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end %%EndProcSet %%BeginFont: CMTI8 %!PS-AdobeFont-1.1: CMTI8 1.0 %%CreationDate: 1991 Aug 18 21:07:42 % 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. 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cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put readonly def /FontBBox{-20 -250 1193 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 18 /grave put dup 19 /acute 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 58 /colon put dup 68 /D put dup 73 /I put dup 77 /M put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 104 /h put dup 105 /i put dup 106 /j 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 121 /y put readonly def /FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 112 /radical put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.1: CMR5 1.00B %%CreationDate: 1992 Feb 19 19:55:02 % 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 (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 50 /two put readonly def /FontBBox{-341 -250 1304 965}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.1: CMMI5 1.100 %%CreationDate: 1996 Aug 02 08:21:10 % 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 (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 25 /pi put readonly def /FontBBox{37 -250 1349 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 90 /integraldisplay put dup 112 /radicalbig 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 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put readonly def /FontBBox{-27 -250 1122 750}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 25 /pi put dup 110 /n put readonly def /FontBBox{0 -250 1171 750}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 21 /lambda put dup 25 /pi put dup 33 /omega put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 88 /X put dup 100 /d put dup 110 /n put dup 120 /x put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 19 /acute put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put dup 49 /one put dup 56 /eight put dup 83 /S put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 105 /i put dup 108 /l put dup 110 /n put dup 114 /r put dup 117 /u put dup 118 /v put readonly def /FontBBox{-39 -250 1036 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMCSC10 %!PS-AdobeFont-1.1: CMCSC10 1.0 %%CreationDate: 1991 Aug 18 17:46:49 % 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 (CMCSC10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMCSC10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 108 /l put dup 110 /n put dup 116 /t put readonly def /FontBBox{14 -250 1077 750}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 12 /fi put dup 14 /ffi put dup 18 /grave put dup 19 /acute put dup 24 /cedilla put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus 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 54 /six put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 74 /J put dup 76 /L put dup 77 /M put dup 81 /Q put dup 83 /S put dup 84 /T 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 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 120 /x put dup 124 /emdash put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F D1F017CE45884D76EF2CB9BC5821FD25365DDEA6E45F332B5F68A44AD8A530F0 92A36FAC8D27F9087AFEEA2096F839A2BC4B937F24E080EF7C0F9374A18D565C 295A05210DB96A23175AC59A9BD0147A310EF49C551A417E0A22703F94FF7B75 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cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % 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 (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 18 /grave put dup 19 /acute put dup 44 /comma put dup 46 /period put dup 49 /one put dup 58 /colon put dup 59 /semicolon put dup 63 /question put dup 67 /C 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 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i 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 120 /x put readonly def /FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont TeXDict begin 39139632 55387786 1000 600 600 (catalan.dvi) @start /Fa 138[38 24 29 30 33 36 36 40 58 18 2[22 36 2[33 36 33 1[36 12[51 1[52 25[36 9[22 26[36 6[40 12[{}22 66.4176 /CMTI8 rf /Fb 206[30 49[{}1 49.8132 /CMR6 rf /Fc 134[37 2[37 39 27 28 28 37 39 35 39 59 20 1[22 20 39 2[31 39 31 39 35 19[65 3[25 4[54 9[20 11[20 24 20 2[27 27 20 19[35 35 18[{}32 66.4176 /CMR8 rf /Fd 143[69 111[65{}2 83.022 /CMSY10 rf /Fe 205[28 50[{}1 41.511 /CMR5 rf /Ff 230[35 25[{}1 41.511 /CMMI5 rf /Fg 143[83 21[46 90[{}2 83.022 /CMEX10 rf /Fh 205[33 33 33 4[51 43[{}4 58.1154 /CMR7 rf /Fi 145[41 84[39 25[{}2 58.1154 /CMMI7 rf /Fj 135[47 9[50 9[43 11[69 28[23 23 18[54 5[52 7[47 3[48 21[{}10 83.022 /CMMI10 rf /Fk 137[41 43 2[30 3[43 1[21 2[21 3[34 43 34 1[38 13[43 26[38 6[38 2[21 4[30 30 20[38 19[{}17 74.7198 /CMR9 rf /Fl 139[49 5[51 1[43 10[51 97[{}4 83.022 /CMCSC10 rf /Fm 131[83 3[44 1[44 46 32 33 33 44 46 42 46 69 23 1[25 23 46 42 25 37 46 37 46 42 2[42 9[60 46 1[65 3[76 52 1[43 4[57 63 60 59 62 3[65 1[23 23 3[42 2[42 42 42 2[23 28 23 65 1[32 32 23 14[37 4[42 42 3[69 1[46 12[{}54 83.022 /CMR10 rf /Fn 135[39 1[38 45 28 34 35 38 42 42 47 68 21 2[25 42 1[25 38 42 38 38 42 13[47 1[64 56 64 62 74 9[59 3[42 3[25 25 8[42 2[25 1[25 24[42 42 18[{}35 83.022 /CMTI10 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%PaperSize: A4 end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 925 523 a Fn(Pr)l(op)l(ositions)31 b(et)e(questions)h(diverses)f Fm(;)f(par)f(M.)h(E.)f(C)p Fl(a)-6 b(t)g(alan)p Fm(.)1509 722 y Fk(\(S)n(\023)-36 b(eance)26 b(du)f(18)h(a)n(vril)g(1888.\))616 882 y Fm(1.)41 b Fn(Sur)25 b(les)h(fonctions)e Fj(X)1414 894 y Fi(n)1459 882 y Fm(.)f(|)g(Dans)g(mon)g(premier)f(M)n(\023)-39 b(emoire)22 b(sur)g(cette)i(th)n(\023)-39 b(eorie,)21 b(j'ai)722 982 y(d)n(\023)-39 b(emon)n(tr)n(\023)g(e)25 b(la)i(form)n(ule)896 1183 y Fj(X)965 1195 y Fi(n)1033 1183 y Fm(=)22 b(partie)27 b(r)n(\023)-39 b(eelle)26 b(de)1698 1127 y(2)1740 1097 y Fi(n)p Fh(+1)p 1698 1164 171 4 v 1758 1240 a Fj(\031)1893 1070 y Fg(Z)1986 1068 y Ff(\031)p 1986 1077 36 4 v 1990 1110 a Fe(2)1939 1258 y Fh(0)2050 1183 y Fm(cos)2161 1149 y Fi(n)2220 1183 y Fj(')p Fm(\()p Fj(x)14 b Fm(cos)g Fj(')k Fm(+)2648 1114 y Fd(p)p 2718 1114 107 4 v 2718 1183 a(\000)p Fm(1)12 b(sin)i Fj(')p Fm(\))3039 1149 y Fi(n)3085 1183 y Fj(d':)-2483 b Fm(\(1\))722 1385 y(T)-7 b(out)28 b(r)n(\023)-39 b(ecemmen)n(t,)26 b(je)i(me)g(suis)f(ap)r(er\030)-37 b(cu)27 b(qu'on)h(p)r(eut)g(la)f (remplacer)g(par)f(celle-ci)i(:)1234 1587 y Fj(X)1303 1599 y Fi(n)1371 1587 y Fm(=)1468 1531 y(2)1510 1500 y Fi(n)p 1468 1568 87 4 v 1487 1644 a Fj(\031)1579 1474 y Fg(Z)1662 1494 y Fi(\031)1625 1662 y Fh(0)1721 1587 y Fm(sin)1823 1552 y Fi(n)1882 1587 y Fj(')p Fm(\()p Fj(x)14 b Fm(sin)g Fj(')19 b Fm(+)2301 1517 y Fd(p)p 2370 1517 107 4 v 70 x(\000)p Fm(1)13 b(cos)g Fj(')p Fm(\))2701 1552 y Fi(n)2747 1587 y Fj(d';)-2145 b Fm(\(2\))722 1788 y(laquelle)27 b(n'est)h(soumise)f(\022)-42 b(a)27 b(aucune)h(restriction.)722 1917 y(Cette)g(form)n(ule)f(\(2\),)h(b)r (eaucoup)f(plus)h(simple)g(que)f(la)h(c)n(\023)-39 b(el)n(\022)g(ebre) 25 b(form)n(ule)i(de)g(Jacobi)1395 2123 y Fj(X)1464 2135 y Fi(n)1532 2123 y Fm(=)1634 2067 y(1)p 1630 2104 51 4 v 1630 2180 a Fj(\031)1704 2010 y Fg(Z)1787 2031 y Fi(\031)1750 2199 y Fh(0)1832 2123 y Fm(\()p Fj(x)19 b Fd(\000)2013 2042 y Fg(p)p 2096 2042 228 4 v 81 x Fj(x)2143 2099 y Fh(2)2199 2123 y Fd(\000)f Fm(1)c(sin)f Fj(!)s Fm(\))2540 2089 y Fi(n)2585 2123 y Fj(d!)s(;)-1984 b Fm(\(3\))722 2325 y(est-elle)25 b Fn(nouvel)t(le?)h Fm(Je)e(m'adresse)g (p)r(our)g(le)h(sa)n(v)n(oir)d(\022)-42 b(a)24 b(mes)h(confr)n(\022)-39 b(eres)22 b(de)j(la)g Fn(So)l(ci)n(\023)-40 b(et)n(\023)g(e)722 2425 y(math)n(\023)g(ematique.)616 2582 y Fm(2.)41 b(De)c(la)e(form)n (ule)h(\(2\),)g(on)f(d)n(\023)-39 b(eduit,)36 b(presque)f(sans)g (calcul,)h(div)n(ers)f(r)n(\023)-39 b(esultats,)34 b(plus)722 2681 y(ou)39 b(moins)g(imp)r(ortan)n(ts,)f(que)h(l'on)g(trouv)n(era)e (dans)i(mon)g Fn(sixi)n(\022)-40 b(eme)40 b Fm(\(et)g(dernier\))722 2781 y Fn(M)n(\023)-40 b(emoir)l(e)28 b(sur)f(les)g(fonctions)h Fj(X)1752 2793 y Fi(n)1797 2781 y Fm(,)c(imprim)n(\023)-39 b(e)24 b(parmi)g(ceux)g(de)h(l'Acad)n(\023)-39 b(emie)23 b(de)i(Bel-)722 2881 y(gique.)616 3038 y(3.)41 b Fn(Quelques)21 b(th)n(\023)-40 b(eor)n(\022)g(emes)22 b(empiriques.)e Fm(|)f(Le)f(journal)g Fn(Mathesis)i Fm(a)e(publi)n(\023)-39 b(e,)17 b(en)i(d)n(\023)-39 b(ecem)n(bre)722 3137 y(dernier,)24 b(une)h(Question)f(prop)r(os)n(\023)-39 b(ee)22 b(par)i(M.)h Fn(Oltr)l(amar)l(e)p Fm(.)f(Cette)h(question)f(m'a)h(fait)722 3237 y(songer)h(au)i Fn(th)n(\023)-40 b(eor)n(\022)g(eme)30 b(empirique)f Fm(suiv)-5 b(an)n(t)28 b(:)722 3365 y Fn(n)e(\023)-40 b(etant)28 b(un)g(nombr)l(e)g(entier,)h(soit)g Fj(n)1893 3377 y Fh(1)1959 3365 y Fn(la)g(somme)g(des)g(diviseurs)g(de)g Fj(n)p Fn(,)g(inf)n(\023)-40 b(erieurs)722 3465 y(\022)e(a)26 b Fj(n)p Fn(,)g(soit)h Fj(n)1097 3477 y Fh(2)1159 3465 y Fn(la)g(somme)f(des)g(diviseurs)h(de)g Fj(n)2165 3477 y Fh(1)2202 3465 y Fn(,)f(inf)n(\023)-40 b(erieurs)26 b(\022)-42 b(a)27 b Fj(n)2745 3477 y Fh(1)2782 3465 y Fn(;)f(etc.)g(Cela)h(p)l(os)n(\023)-40 b(e)27 b(:)722 3564 y(les)j(nombr)l(es)f Fj(n)p Fn(,)h Fj(n)1327 3576 y Fh(1)1364 3564 y Fn(,)g Fj(n)1469 3576 y Fh(2)1506 3564 y Fn(,)f(.)13 b(.)g(.)43 b(tendent)29 b(vers)g(une)g(limite)h Fj(\025)p Fn(,)g(laquel)t(le)h(est)e(1)h(ou)f(un)722 3664 y(nombr)l(e)h(p)l(arfait.)722 3792 y Fm(Si)g(cette)g(prop)r (osition)f(\(v)n(\023)-39 b(eri\014)n(\023)g(ee)28 b(sur)h(div)n(ers)g (exemples\))g(est)h(vraie,)f(elle)h(doit)d(^)-39 b(etre)722 3892 y(fort)28 b(di\016cile)g(\022)-42 b(a)27 b(d)n(\023)-39 b(emon)n(trer.)722 4020 y(Dans)19 b(la)f Fn(Nouvel)t(le)k(Corr)l(esp)l (ondanc)l(e)h(math)n(\023)-40 b(ematique)p Fm(,)19 b(j'ai)d(\023)-39 b(enonc)n(\023)g(e)16 b(div)n(ers)i(th)n(\023)-39 b(eor)n(\022)g(emes) 722 4120 y(empiriques;)27 b(celui-ci,)h(par)f(exemple)g(:)722 4248 y Fn(n)h(\023)-40 b(etant)29 b(un)g(nombr)l(e)h(entier,)g(la)g (quantit)n(\023)-40 b(e)1818 4408 y Fm(6)p Fj(n)1910 4374 y Fh(2)1965 4408 y Fm(+)19 b(6)p Fj(n)e Fd(\000)h Fm(3)722 4568 y Fn(est)30 b(la)g(somme)g(de)g(tr)l(ois)g(c)l(arr)n (\023)-40 b(es,)31 b(entiers)f(et)f(p)l(ositifs)g Fm(\()2481 4537 y Fh(1)2519 4568 y Fm(\))t(.)p 515 4692 1146 4 v 642 4770 a Fc(\()669 4746 y Fb(1)704 4770 y Fc(\))f(Dans)g(le)g(M)n (\023)-33 b(emoire)27 b(in)n(titul)n(\023)-33 b(e)29 b(:)e Fa(R)l(e)l(cher)l(che)k(sur)f(quelques)f(pr)l(o)l(duits)j(ind)n (\023)-35 b(e\014nis)p Fc(,)29 b(j'ai)e(donn)n(\023)-33 b(e,)29 b(au)515 4848 y(mo)n(y)n(en)24 b(des)g(s)n(\023)-33 b(eries)23 b(elliptiques,)g(ce)i(th)n(\023)-33 b(eor)n(\022)g(eme)25 b(remarquable)e(:)585 4927 y Fa(T)-5 b(out)26 b(multiple)g(de)g(8)g (est)f(la)h(somme)g(de)g(huit)g(c)l(arr)n(\023)-35 b(es)27 b(imp)l(airs.)585 5006 y Fc(Il)d(serait)f(in)n(t)n(\023)-33 b(eressan)n(t,)25 b(me)e(sem)n(ble-t-il,)f(d'en)i(trouv)n(er)g(une)h(d) n(\023)-33 b(emonstration)23 b(\023)-33 b(el)n(\023)g(emen)n(taire.)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF