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Quelle  manual.ps   Sprache: unbekannt

 
Spracherkennung für: .ps vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]

%!PS-Adobe-2.0
%%Creator: dvips(k) 5.998 Copyright 2018 Radical Eye Software
%%Title: manual.dvi
%%CreationDate: Sun Sep 22 15:04:41 2019
%%Pages: 12
%%PageOrder: Ascend
%%BoundingBox: 0 0 596 842
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%%BeginProcSet: 8r.enc 0 0
% File 8r.enc  TeX Base 1 Encoding  Revision 2.0  2002-10-30
%
% @@psencodingfile@{
%   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
%                W. Schmidt, P. Lehman",
%   version   = "2.0",
%   date      = "27nov06",
%   filename  = "8r.enc",
%   email     = "tex-fonts@@tug.org",
%   docstring = "This is the encoding vector for Type1 and TrueType
%                fonts to be used with TeX.  This file is part of the
%                PSNFSS bundle, version 9"
% @}

% The idea is to have all the characters normally included in Type 1 fonts
% available for typesetting. This is effectively the characters in Adobe
% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
% MacRoman, and some extra characters from Lucida.

% Character code assignments were made as follows:

% (1) the Windows ANSI characters are almost all in their Windows ANSI
% positions, because some Windows users cannot easily reencode the
% fonts, and it makes no difference on other systems. The only Windows
% ANSI characters not available are those that make no sense for
% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
% (173). quotesingle and grave are moved just because it's such an
% irritation not having them in TeX positions.

% (2) Remaining characters are assigned arbitrarily to the lower part
% of the range, avoiding 0, 10 and 13 in case we meet dumb software.

% (3) Y&Y Lucida Bright includes some extra text characters; in the
% hopes that other PostScript fonts, perhaps created for public
% consumption, will include them, they are included starting at 0x12.
% These are /dotlessj /ff /ffi /ffl.

% (4) hyphen appears twice for compatibility with both ASCII and Windows.
%
% (5) /Euro was assigned to 128, as in Windows ANSI
%
% (6) Missing characters from MacRoman encoding incorporated as follows:
%
%     PostScript      MacRoman        TeXBase1
%     --------------  --------------  --------------
%     /notequal       173             0x16
%     /infinity       176             0x17
%     /lessequal      178             0x18
%     /greaterequal   179             0x19
%     /partialdiff    182             0x1A
%     /summation      183             0x1B
%     /product        184             0x1C
%     /pi             185             0x1D
%     /integral       186             0x81
%     /Omega          189             0x8D
%     /radical        195             0x8E
%     /approxequal    197             0x8F
%     /Delta          198             0x9D
%     /lozenge        215             0x9E
%
/TeXBase1Encoding [
% 0x00
 /.notdef /dotaccent /fi /fl
 /fraction /hungarumlaut /Lslash /lslash
 /ogonek /ring /.notdef /breve
 /minus /.notdef /Zcaron /zcaron
% 0x10
 /caron /dotlessi /dotlessj /ff
 /ffi /ffl /notequal /infinity
 /lessequal /greaterequal /partialdiff /summation
 /product /pi /grave /quotesingle
% 0x20
 /space /exclam /quotedbl /numbersign
 /dollar /percent /ampersand /quoteright
 /parenleft /parenright /asterisk /plus
 /comma /hyphen /period /slash
% 0x30
 /zero /one /two /three
 /four /five /six /seven
 /eight /nine /colon /semicolon
 /less /equal /greater /question
% 0x40
 /at /A /B /C
 /D /E /F /G
 /H /I /J /K
 /L /M /N /O
% 0x50
 /P /Q /R /S
 /T /U /V /W
 /X /Y /Z /bracketleft
 /backslash /bracketright /asciicircum /underscore
% 0x60
 /quoteleft /a /b /c
 /d /e /f /g
 /h /i /j /k
 /l /m /n /o
% 0x70
 /p /q /r /s
 /t /u /v /w
 /x /y /z /braceleft
 /bar /braceright /asciitilde /.notdef
% 0x80
 /Euro /integral /quotesinglbase /florin
 /quotedblbase /ellipsis /dagger /daggerdbl
 /circumflex /perthousand /Scaron /guilsinglleft
 /OE /Omega /radical /approxequal
% 0x90
 /.notdef /.notdef /.notdef /quotedblleft
 /quotedblright /bullet /endash /emdash
 /tilde /trademark /scaron /guilsinglright
 /oe /Delta /lozenge /Ydieresis
% 0xA0
 /.notdef /exclamdown /cent /sterling
 /currency /yen /brokenbar /section
 /dieresis /copyright /ordfeminine /guillemotleft
 /logicalnot /hyphen /registered /macron
% 0xB0
 /degree /plusminus /twosuperior /threesuperior
 /acute /mu /paragraph /periodcentered
 /cedilla /onesuperior /ordmasculine /guillemotright
 /onequarter /onehalf /threequarters /questiondown
% 0xC0
 /Agrave /Aacute /Acircumflex /Atilde
 /Adieresis /Aring /AE /Ccedilla
 /Egrave /Eacute /Ecircumflex /Edieresis
 /Igrave /Iacute /Icircumflex /Idieresis
% 0xD0
 /Eth /Ntilde /Ograve /Oacute
 /Ocircumflex /Otilde /Odieresis /multiply
 /Oslash /Ugrave /Uacute /Ucircumflex
 /Udieresis /Yacute /Thorn /germandbls
% 0xE0
 /agrave /aacute /acircumflex /atilde
 /adieresis /aring /ae /ccedilla
 /egrave /eacute /ecircumflex /edieresis
 /igrave /iacute /icircumflex /idieresis
% 0xF0
 /eth /ntilde /ograve /oacute
 /ocircumflex /otilde /odieresis /divide
 /oslash /ugrave /uacute /ucircumflex
 /udieresis /yacute /thorn /ydieresis
] def


%%EndProcSet
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%!
TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
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definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
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%%BeginFont: NimbusRomNo9L-Regu
%!PS-AdobeFont-1.0: NimbusRomNo9L-Regu 1.05
%%CreationDate: Wed Dec 22 1999
% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development
% (URW)++,Copyright 1999 by (URW)++ Design & Development
% See the file COPYING (GNU General Public License) for license conditions.
% As a special exception, permission is granted to include this font
% program in a Postscript or PDF file that consists of a document that
% contains text to be displayed or printed using this font, regardless
% of the conditions or license applying to the document itself.
12 dict begin
/FontInfo 10 dict dup begin
/version (1.05) readonly def
/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def
/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def
/FullName (Nimbus Roman No9 L Regular) readonly def
/FamilyName (Nimbus Roman No9 L) readonly def
/Weight (Regular) readonly def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /NimbusRomNo9L-Regu def
/PaintType 0 def
/WMode 0 def
/FontBBox {-168 -281 1000 924} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
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cleartomark
%%EndFont 
%%BeginFont: NimbusRomNo9L-ReguItal
%!PS-AdobeFont-1.0: NimbusRomNo9L-ReguItal 1.05
%%CreationDate: Wed Dec 22 1999
% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development
% (URW)++,Copyright 1999 by (URW)++ Design & Development
% See the file COPYING (GNU General Public License) for license conditions.
% As a special exception, permission is granted to include this font
% program in a Postscript or PDF file that consists of a document that
% contains text to be displayed or printed using this font, regardless
% of the conditions or license applying to the document itself.
12 dict begin
/FontInfo 10 dict dup begin
/version (1.05) readonly def
/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def
/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def
/FullName (Nimbus Roman No9 L Regular Italic) readonly def
/FamilyName (Nimbus Roman No9 L) readonly def
/Weight (Regular) readonly def
/ItalicAngle -15.5 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /NimbusRomNo9L-ReguItal def
/PaintType 0 def
/WMode 0 def
/FontBBox {-169 -270 1010 924} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
/Encoding StandardEncoding def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.0: CMSY10 003.002
%%Title: CMSY10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSY10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMSY10 known{/CMSY10 findfont dup/UniqueID known{dup
/UniqueID get 5096651 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMSY10 def
/FontBBox {-29 -960 1116 775 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSY10.) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 2 /multiply put
dup 17 /equivalence put
dup 24 /similar put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: MSAM7
%!PS-AdobeFont-1.0: MSAM7 003.002
%%Title: MSAM7
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name MSAM7.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/MSAM7 known{/MSAM7 findfont dup/UniqueID known{dup
/UniqueID get 5032012 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /MSAM7 def
/FontBBox {29 -552 1490 1102 }readonly def
/PaintType 0 def
/FontInfo 7 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name MSAM7.) readonly def
/FullName (MSAM7) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 73 /trianglerightsld put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.0: CMMI10 003.002
%%Title: CMMI10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMMI10 known{/CMMI10 findfont dup/UniqueID known{dup
/UniqueID get 5087385 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMMI10 def
/FontBBox {-32 -250 1048 750 }readonly def
/PaintType 0 def
/FontInfo 10 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI10.) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/ascent 750 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 59 /comma put
dup 60 /less put
dup 62 /greater put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: NimbusSanL-Regu
%!PS-AdobeFont-1.0: NimbusSanL-Regu 1.05a
%%Title: NimbusSanL-Regu
%%CreationDate: Thu Mar 20 10:08:51 2003
%%Creator: Primoz Peterlin
%%DocumentSuppliedResources: font NimbusSanL-Regu
% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development
% Generated by PfaEdit 1.0 (http://pfaedit.sf.net/)
%%EndComments
FontDirectory/NimbusSanL-Regu known{/NimbusSanL-Regu findfont dup/UniqueID known{dup
/UniqueID get 5020902 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /NimbusSanL-Regu def
/FontBBox [-174 -285 1001 953 ]readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (1.05a) readonly def
/Notice (Copyright \050URW\051++,Copyright 1999 by \050URW\051++ Design & Development) readonly def
/FullName (Nimbus Sans L Regular) readonly def
/FamilyName (Nimbus Sans L) readonly def
/Weight (Regular) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -151 def
/UnderlineThickness 50 def
end readonly def
/Encoding StandardEncoding def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.0: CMR10 003.002
%%Title: CMR10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup
/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR10 def
/FontBBox {-40 -250 1009 750 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR10.) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 61 /equal put
dup 91 /bracketleft put
dup 93 /bracketright put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: MSBM10
%!PS-AdobeFont-1.0: MSBM10 003.002
%%Title: MSBM10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name MSBM10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/MSBM10 known{/MSBM10 findfont dup/UniqueID known{dup
/UniqueID get 5031982 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /MSBM10 def
/FontBBox {-55 -420 2343 920 }readonly def
/PaintType 0 def
/FontInfo 7 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name MSBM10.) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 70 /F put
dup 81 /Q put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: NimbusSanL-Bold
%!PS-AdobeFont-1.0: NimbusSanL-Bold 1.05
%%CreationDate: Wed Dec 22 1999
% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development
% (URW)++,Copyright 1999 by (URW)++ Design & Development
% See the file COPYING (GNU General Public License) for license conditions.
% As a special exception, permission is granted to include this font
% program in a Postscript or PDF file that consists of a document that
% contains text to be displayed or printed using this font, regardless
% of the conditions or license applying to the document itself.
12 dict begin
/FontInfo 10 dict dup begin
/version (1.05) readonly def
/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def
/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def
/FullName (Nimbus Sans L Bold) readonly def
/FamilyName (Nimbus Sans L) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -155 def
/UnderlineThickness 69 def
end readonly def
/FontName /NimbusSanL-Bold def
/PaintType 0 def
/WMode 0 def
/FontBBox {-173 -307 1003 949} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
/Encoding StandardEncoding def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: NimbusRomNo9L-Medi
%!PS-AdobeFont-1.0: NimbusRomNo9L-Medi 1.05
%%CreationDate: Wed Dec 22 1999
% Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development
% (URW)++,Copyright 1999 by (URW)++ Design & Development
% See the file COPYING (GNU General Public License) for license conditions.
% As a special exception, permission is granted to include this font
% program in a Postscript or PDF file that consists of a document that
% contains text to be displayed or printed using this font, regardless
% of the conditions or license applying to the document itself.
12 dict begin
/FontInfo 10 dict dup begin
/version (1.05) readonly def
/Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def
/Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def
/FullName (Nimbus Roman No9 L Medium) readonly def
/FamilyName (Nimbus Roman No9 L) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /NimbusRomNo9L-Medi def
/PaintType 0 def
/WMode 0 def
/FontBBox {-168 -341 1000 960} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
/Encoding StandardEncoding def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTT10
%!PS-AdobeFont-1.0: CMTT10 003.002
%%Title: CMTT10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTT10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMTT10 known{/CMTT10 findfont dup/UniqueID known{dup
/UniqueID get 5000832 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMTT10 def
/FontBBox {-4 -233 537 696 }readonly def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMTT10.) readonly def
/FullName (CMTT10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 42 /asterisk 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 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 60 /less put
dup 61 /equal put
dup 62 /greater put
dup 64 /at put
dup 65 /A put
dup 67 /C put
dup 68 /D 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 85 /U put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /asciicircum 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 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 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
currentdict end
currentfile eexec
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2590 y Fr(otherwise.)p eop end
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Fr(Here)11 b Fq(g4)g Fh(<)h Fm(GL)p Fk(\()p Fr(540)p
Fh(;)7 b Fr(11)383 1798 y Fb(2)398 1813 y Fk(\))j Fr(is)h(the)f
(Kronecker)g(product)f(of)h(a)h(unipotent)d(subgroup)h(of)h
Fm(GL)p Fk(\()p Fr(3)p Fh(;)d Fr(11)1448 1798 y Fb(2)1463
1813 y Fk(\))k Fr(and)f(the)g(group)f Fq(g2)p Fr(.)59
1887 y Fq(gap>)21 b(g5)g(:=)h(ReducibleNilpote)o(ntMat)o(Group)o
(\(7,36)o(\);)59 1937 y(<matrix)e(group)h(with)g(72)h(generators>)0
2030 y Fr(Here)12 b Fq(g5)h Fh(<)h Fm(GL)p Fk(\()p Fr(252)p
Fh(;)7 b Fn(Q)p Fk(\))k Fr(is)g(a)h(reducible)f(nilpotent)f(group)g
(constructed)h(as)h(the)f(Kronecker)g(product)g(of)g(a)h(unipotent)d
(subgroup)0 2080 y(of)h Fm(GL)p Fk(\()p Fr(7)p Fh(;)d
Fn(Q)p Fk(\))j Fr(with)f Fq(MonomialNilpotentMa)o(tGrou)o(p\(36\))o
Fr(.)p eop end
%%Page: 8 8
TeXDict begin 8 7 bop 0 -58 a Fr(8)1572 b Fm(Chapter)10
b(3.)g(Examples)0 42 y Fs(3.2)27 b(T)m(esting)15 b(nilpotenc)o(y)g(and)
g(other)g(functions)0 134 y Fr(W)m(e)e(no)o(w)f(illustrate)f(use)i(of)g
(the)f(functions)f Fq(IsNilpotentMatGroup)o Fr(,)f Fq
(SylowSubgroupsOfNilp)o(otent)o(FFMa)o(tGrou)o(p)p Fr(,)g
Fq(Is-)0 184 y(FiniteNilpotentMa)o(tGrou)o(p)p Fr(,)c
Fq(SizeOfNilpotent)o(MatGr)o(oup)p Fr(,)f(and)j Fq(IsCompletelyReduc)o
(ible)o(Nilpo)o(tentM)o(atGro)o(up)p Fr(.)p 1945 193
21 38 v 59 259 a Fq(gap>)21 b(IsNilpotentMatGrou)o(p\(GL)o(\(200,)o
(Ratio)o(nals\))o(\);)59 308 y(false)59 408 y(gap>)g
(IsNilpotentMatGrou)o(p\(GL)o(\(150,)o(11^3\))o(\);)59
458 y(false)59 558 y(gap>)g(g6)g(:=)h(MaximalAbsolutel)o(yIrre)o(ducib)
o(leNil)o(poten)o(tMatG)o(roup)o(\(127,)o(2,7\);)59 607
y(<matrix)e(group)h(with)g(3)h(generators>)59 657 y(gap>)f
(IsNilpotentMatGrou)o(p\(g6)o(\);)59 707 y(true)59 807
y(gap>)g(g7)g(:=)h(MonomialNilpoten)o(tMatG)o(roup\()o(350\);)59
856 y(<matrix)e(group)h(with)g(6)h(generators>)59 906
y(gap>)f(IsNilpotentMatGrou)o(p\(g7)o(\);)59 956 y(true)59
1006 y(gap>)g(IsFiniteNilpotentM)o(atGr)o(oup\(g)o(7\);)59
1056 y(true)59 1155 y(gap>)g(g8)g(:=)h(ReducibleNilpote)o(ntMat)o
(Group)o(\(6,35)o(\);)59 1205 y(<matrix)e(group)h(with)g(5)h
(generators>)59 1255 y(gap>)f(IsNilpotentMatGrou)o(p\(g8)o(\);)59
1305 y(true)59 1355 y(gap>)g(IsFiniteNilpotentM)o(atGr)o(oup\(g)o(8\);)
59 1404 y(false)59 1504 y(gap>)g(g9)g(:=)h(ReducibleNilpote)o(ntMat)o
(Group)o(\(2,36)o(,5,2\))o(;)59 1554 y(<matrix)e(group)h(with)g(21)h
(generators>)59 1604 y(gap>)f(SylowSubgroupsOfNi)o(lpot)o(entFF)o
(MatGr)o(oup\(g)o(9\);)59 1653 y([)h(<matrix)e(group)h(with)g(5)g
(generators>,)f(<matrix)g(group)h(with)g(6)59 1703 y(generators>,)e
(<matrix)i(group)f(with)h(1)h(generators>)e(])59 1753
y(gap>)h(IsCompletelyReduci)o(bleN)o(ilpot)o(entMa)o(tGrou)o(p\(g9\))o
(;)59 1803 y(false)59 1902 y(gap>)g(g10)g(:=)h(MaximalAbsolute)o(lyIrr)
o(educi)o(bleNi)o(lpote)o(ntMat)o(Grou)o(p\(24,)o(5,2\);)59
1952 y(<matrix)e(group)h(with)g(17)h(generators>)59 2002
y(gap>)f(SizeOfNilpotentMat)o(Grou)o(p\(g10)o(\);)59
2052 y(173946175488)59 2102 y(gap>)g(IsCompletelyReduci)o(bleN)o(ilpot)
o(entMa)o(tGrou)o(p\(g10)o(\);)59 2152 y(true)59 2251
y(gap>)g(g11)g(:=)h(MonomialNilpote)o(ntMat)o(Group)o(\(96\);)59
2301 y(<matrix)e(group)h(with)g(31)h(generators>)59 2351
y(gap>)f(SizeOfNilpotentMat)o(Grou)o(p\(g11)o(\);)59
2401 y(6442450944)59 2450 y(gap>)g(IsCompletelyReduci)o(bleN)o(ilpot)o
(entMa)o(tGrou)o(p\(g11)o(\);)59 2500 y(true)p eop end
%%Page: 9 9
TeXDict begin 9 8 bop 0 -58 a Fm(Section)10 b(3.)g(Using)g(the)g(libr)o
(ary)g(of)f(primitive)h(nilpotent)e(gr)n(oups)977 b Fr(9)0
42 y Fs(3.3)27 b(Using)15 b(the)g(librar)q(y)f(of)h(primitive)g
(nilpotent)g(gr)o(oups)0 134 y Fr(This)f(section)g(gi)o(v)o(es)g(e)o
(xamples)h(of)f(applying)e(the)i(functions)f(from)h(the)g
Fj(Nilmat)f Fr(library)g(of)h(primiti)o(v)o(e)f(nilpotent)e(subgroups)i
(of)0 184 y Fm(GL)p Fk(\()p Fm(n)p Fh(;)7 b Fm(q)p Fk(\))p
Fr(.)59 259 y Fq(gap>)21 b(L0)g(:=)h(NilpotentPrimiti)o(veMat)o(Group)o
(s\(2,3)o(,1\);)59 308 y([)g(Group\([)e([)i([)f(0*Z\(3\),)g(Z\(3\)^0)f
(],)h([)h(Z\(3\)^0,)e(Z\(3\)^0)h(])h(])f(]\),)103 358
y(Group\([)f([)i([)f(Z\(3\)^0,)g(0*Z\(3\))f(],)h([)h(0*Z\(3\),)e
(Z\(3\)^0)h(])h(],)190 408 y([)f([)h(Z\(3\),)f(Z\(3\)^0)f(],)i([)f
(Z\(3\),)g(Z\(3\))g(])h(],)190 458 y([)f([)h(Z\(3\)^0,)e(0*Z\(3\))h(],)
g([)h(0*Z\(3\),)e(Z\(3\))h(])h(])f(]\),)103 508 y(Group\([)f([)i([)f
(Z\(3\)^0,)g(0*Z\(3\))f(],)h([)h(0*Z\(3\),)e(Z\(3\)^0)h(])h(],)190
558 y([)f([)h(0*Z\(3\),)e(Z\(3\)^0)h(],)g([)h(Z\(3\),)f(0*Z\(3\))f(])i
(],)190 607 y([)f([)h(Z\(3\),)f(Z\(3\))g(],)g([)h(Z\(3\),)e(Z\(3\)^0)h
(])h(])f(]\))h(])59 657 y(gap>)f(SizesOfNilpotentPr)o(imit)o(iveMa)o
(tGrou)o(ps\(2,)o(3,1\);)59 707 y([)h(8,)f(8,)g(16)h(])59
757 y(gap>)f(List\(L0,Size\);)59 807 y([)h(8,)f(8,)g(16)h(])59
906 y(gap>)f(L1)g(:=)h(NilpotentPrimiti)o(veMat)o(Group)o(s\(2,2)o
(,10\);)o(;)59 956 y(gap>)f(Length\(L1\);)59 1006 y(40)59
1056 y(gap>)g(Size\(L1[38]\);)59 1105 y(209715)59 1155
y(gap>)g(s)h(:=)f(SizesOfNilpotentP)o(rimit)o(iveMa)o(tGrou)o(ps\(2,)o
(2,10\))o(;;)59 1205 y([)h(5,)f(15,)g(25,)g(41,)h(55,)f(75,)g(123,)g
(155,)59 1255 y(165,)g(205,)g(275,)g(451,)g(465,)g(615,)g(775,)g(825,)g
(1025,)g(1271,)f(1353,)h(1705,)59 1305 y(2255,)g(2325,)g(3075,)f(3813,)
h(5115,)g(6355,)g(6765,)f(8525,)h(11275,)g(13981,)59
1355 y(19065,)g(25575,)f(31775,)h(33825,)f(41943,)h(69905,)f(95325,)h
(209715,)59 1404 y(349525,)f(1048575)h(])59 1504 y(gap>)g(L2)g(:=)h
(NilpotentPrimiti)o(veMat)o(Group)o(s\(55,)o(3,1\);)o(;)59
1554 y(gap>)f(Length\(L2\);)59 1604 y(114)59 1703 y(gap>)g(L3)g(:=)h
(NilpotentPrimiti)o(veMat)o(Group)o(s\(6,3)o(,3\);;)59
1753 y(gap>)f(Length\(L3\);)59 1803 y(110)59 1902 y(gap>)g(L4)g(:=)h
(NilpotentPrimiti)o(veMat)o(Group)o(s\(22,)o(11,1\))o(;;)59
1952 y(gap>)f(Length\(L3\);)59 2002 y(1002)0 2095 y Fr(The)11
b(lists)e Fq(L1)h Fr(and)h Fq(L2)e Fr(contain)h(only)f(abelian)h
(groups,)g(while)g Fq(L3)g Fr(and)g Fq(L4)g Fr(contain)g(non-abelian)f
(nilpotent)f(groups.)p eop end
%%Page: 10 10
TeXDict begin 10 9 bop -30 285 a Fo(4)962 b Fu(Installation)0
519 y Fr(The)11 b(P)o(ackage)h Fj(Nilmat)e Fr(is)g(a)h
Fj(GAP)f Fr(code)h(only)e(package)i(and)g(requires)f(no)f(e)o(xternal)i
(binaries.)0 587 y(Once)i Fj(Nilmat)f Fr(is)g(loaded,)g(calls)g(to)g
(the)g Fj(GAP)g Fr(functions)f Fq(IsNilpotent)p Fr(,)f
Fq(IsNilpotentGroup)p Fr(,)f Fq(SylowSubgroup)p Fr(,)h(and)i
Fq(Sy-)0 637 y(lowSystem)6 b Fr(for)i(subgroups)f(of)h
Fm(GL)p Fk(\()p Fm(n)p Fh(;)f Fm(q)p Fk(\))p Fr(,)g(and)i(calls)f(to)f
Fq(IsNilpotent)p Fr(,)g Fq(IsNilpotentGrou)o(p)p Fr(,)f(and)i
Fq(IsFinite)e Fr(for)i(subgroups)0 686 y(of)13 b Fm(GL)p
Fk(\()p Fm(n)p Fh(;)7 b Fn(Q)p Fk(\))p Fr(,)13 b(automatically)g
(switch)f(to)h(corresponding)f(functions)g(from)h Fj(Nilmat)p
Fr(.)g(Thus)g Fj(Nilmat)g Fr(should)f(be)h(disabled)g(if)g(one)0
736 y(wishes)d(to)g(use)h(the)f(former)g Fj(GAP)g Fr(functions)f(for)h
(matrix)g(groups)f(o)o(v)o(er)i Fm(GF)q Fk(\()p Fm(q)p
Fk(\))g Fr(or)f Fn(Q)p Fr(.)0 804 y(F)o(or)i(testing)e(nilpotenc)o(y)g
(and)i(\002niteness)f(o)o(v)o(er)h Fn(Q)p Fr(,)h(the)e
Fj(GAP)g Fr(package)i Fj(P)n(olenta)e Fr(is)h(also)f(required.)g(Note)h
(that)f Fq(Nilmat)f Fr(does)i(not)0 854 y(use)h(functions)e(from)i
Fj(P)n(olenta)f Fr(which)g(depend)h(on)f Fq(KASH)p Fr(.)g(Hence)i(to)e
(use)h Fj(Nilmat)p Fr(,)g Fq(KASH)f Fr(installation)e(is)i(not)g
(required,)h(and)f(all)0 903 y Fj(Nilmat)e Fr(functions)f(run)h(under)f
(both)h(W)n(indo)o(ws)f(and)i(Linux.)p eop end
%%Page: 11 11
TeXDict begin 11 10 bop 1034 109 a Fu(Bib)o(liograph)m(y)4
359 y Fr([AE05])20 b(B.)e(Assmann)h(and)f(B.)f(Eick.)i(Computing)d
(polyc)o(yclic)h(presentations)g(for)g(polyc)o(yclic)g(rational)g
(matrix)g(groups.)g Fa(J.)149 408 y(Symbolic)10 b(Comput.)p
Fr(,)g(40\(6\):1269\226128)o(4,)e(2005.)4 477 y([AE07])20
b(B.)14 b(Assmann)g(and)f(B.)g(Eick.)h(T)m(esting)f(polyc)o(yclicity)e
(of)i(\002nitely)f(generated)i(rational)e(matrix)h(groups.)f
Fa(Math.)h(Comp.)p Fr(,)149 527 y(76:1669\2261682,)8
b(2007.)6 595 y([DF04])20 b(A.)f(S.)f(Detinko)f(and)h(D.)g(L.)h
(Flannery)m(.)f(Classi\002cation)f(of)h(nilpotent)d(primiti)o(v)o(e)i
(linear)g(groups)g(o)o(v)o(er)i(\002nite)e(\002elds.)149
645 y Fa(Glasgo)o(w)10 b(Math.)h(J.)p Fr(,)g(46:585\226594,)d(2004.)-12
714 y([DF05a])20 b(A.)11 b(S.)g(Detinko)e(and)h(D.)h(L.)g(Flannery)m(.)
g(Locally)f(nilpotent)e(linear)i(groups.)f Fa(Irish)h(Math.)g(Soc.)h
(Bull.)p Fr(,)f(\(56\):37\22651,)e(2005.)-14 782 y([DF05b])19
b(A.)11 b(S.)f(Detinko)f(and)g(D.)i(L.)f(Flannery)m(.)h(Nilpotent)d
(primiti)o(v)o(e)g(linear)i(groups)f(o)o(v)o(er)h(\002nite)f(\002elds.)
i Fa(Comm.)f(Algebra)p Fr(,)g(33:1\226)149 832 y(9,)h(2005.)6
900 y([DF06])20 b(A.)10 b(S.)h(Detinko)d(and)h(D.)h(L.)g(Flannery)m(.)g
(Computing)e(in)h(nilpotent)e(matrix)i(groups.)g Fa(LMS)h(J.)g(Comput.)
f(Math.)p Fr(,)h(9:104\226134)149 950 y(\(electronic\),)h(2006.)6
1019 y([DF08])20 b(A.)d(S.)g(Detinko)e(and)h(D.)h(L.)g(Flannery)m(.)g
(Algorithms)e(for)g(computing)g(with)h(nilpotent)e(matrix)i(groups)f(o)
o(v)o(er)i(in\002nite)149 1068 y(domains.)11 b Fa(J.)g(Symbolic)e
(Comput.)p Fr(,)h(43:43)f(\(2008\))g(8\22626,)h(2008.)-5
1137 y([Sup76])19 b(D.)j(A.)f(Suprunenko.)f Fa(Matrix)g(Groups)p
Fr(.)h(T)o(ransl.)g(Math.)g(Monogr)n(.,)f(v)o(ol.)h(45.)f(American)i
(Mathematical)g(Society)m(,)149 1187 y(Pro)o(vidence,)11
b(RI,)g(1976.)-16 1255 y([W)m(eh73])20 b(B.)11 b(A.)g(F)m(.)f(W)m
(ehrfritz.)g Fa(In\002nite)f(Linear)i(Groups)p Fr(.)f(Springer)o(-V)-5
b(erlag,)10 b(Berlin,)f(Heidelber)o(g,)i(Ne)o(w)g(Y)-5
b(ork,)10 b(1973.)p eop end
%%Page: 12 12
TeXDict begin 12 11 bop 1555 107 a Fu(Inde)n(x)0 341
y Fr(This)16 b(inde)o(x)g(co)o(v)o(ers)i(only)d(this)h(manual.)h(A)f
(page)h(number)f(in)g Fm(italics)f Fr(refers)i(to)e(a)i(whole)f
(section)g(which)g(is)g(de)o(v)o(oted)g(to)g(the)0 391
y(inde)o(x)o(ed)c(subject.)g(K)o(e)o(ywords)g(are)h(sorted)f(with)f
(case)i(and)f(spaces)i(ignored,)d(e.g.,)j(\223)p Fq(PermutationCharact)
o(er)p Fr(\224)9 b(comes)14 b(before)0 440 y(\223permutation)9
b(group\224.)0 541 y Fs(A)0 590 y Fq(AbelianNormalSeri)o(es)p
Fr(,)f(4)0 640 y(A)i(library)f(of)h(primiti)o(v)o(e)f(nilpotent)f
(groups,)i Fm(6)0 715 y Fs(C)0 765 y Fq(ClassLimit)p
Fr(,)f(4)0 815 y(Constructing)f(some)j(nilpotent)d(matrix)i(groups,)f
Fm(7)0 889 y Fs(F)0 939 y Fr(Finiteness,)20 b(Sylo)o(w)g(subgroups,)g
(testing)f(complete)50 989 y(reducibility)m(,)8 b Fm(5)0
1039 y Fr(Further)i(e)o(xamples)h(of)f(nilpotent)e(matrix)i(groups,)g
Fm(6)0 1114 y Fs(I)0 1163 y Fq(IsCompletelyReduc)o(ibleN)o(ilpot)o
(entMa)o(tGrou)o(p)p Fr(,)e(5)0 1213 y Fq(IsFiniteNilpotent)o(MatGr)o
(oup)p Fr(,)g(5)0 1263 y Fq(IsNilpotentMatGro)o(up)p
Fr(,)g(5)0 1313 y Fq(IsUnipotentMatGro)o(up)p Fr(,)g(4)0
1387 y Fs(J)0 1437 y Fq(JordanSplitting)p Fr(,)g(4)0
1512 y Fs(M)0 1562 y Fq(MaximalAbsolutely)o(Irred)o(ucibl)o(eNilp)o
(otent)o(Mat-)50 1612 y(Group)p Fr(,)i(6)996 541 y Fq
(MonomialNilpotentMa)o(tGrou)o(p)p Fr(,)e(6)996 615 y
Fs(N)996 665 y Fr(Nilmat)i(package,)i(3,)e(4,)h(7,)f(10)996
715 y Fq(NilpotentPrimitiveM)o(atGro)o(ups)p Fr(,)d(6)996
790 y Fs(P)996 840 y Fq(PiPrimarySplitting)p Fr(,)g(4)996
889 y(Preliminaries,)j Fm(4)996 964 y Fs(R)996 1014 y
Fq(ReducibleNilpotentM)o(atGro)o(up)p Fr(,)e(6)996 1089
y Fs(S)996 1138 y Fq(SizeOfNilpotentMatG)o(roup)p Fr(,)f(5)996
1188 y Fq(SizesOfNilpotentPri)o(mitiv)o(eMat)o(Group)o(s)p
Fr(,)h(6)996 1238 y Fq(SylowSubgroupsOfNil)o(poten)o(tFFM)o(atGro)o(up)
p Fr(,)g(5)996 1313 y Fs(T)996 1363 y Fr(T)m(esting)i(nilpotenc)o(y)m
(,)g Fm(5)996 1412 y Fr(T)m(esting)g(nilpotenc)o(y)f(and)i(other)e
(functions,)h Fm(8)996 1487 y Fs(U)996 1537 y Fr(Using)g(the)g(library)
f(of)h(primiti)o(v)o(e)f(nilpotent)f(groups,)i Fm(9)p
eop end
%%Trailer

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

[Dauer der Verarbeitung: 0.55 Sekunden, vorverarbeitet 2026-04-27]

                                                                                                                                                                                                                                                                                                                                                                                                     


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