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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 (CMSSI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -12 def /isFixedPitch false def end readonly def /FontName /CMSSI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-100 -250 1135 761}readonly def /UniqueID 5000808 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSS17 %!PS-AdobeFont-1.1: CMSS17 1.0 %%CreationDate: 1991 Aug 20 17:33:59 % 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 (CMSS17) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS17 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-58 -250 939 758}readonly def /UniqueID 5000805 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 0 /.notdef put readonly def /FontBBox{-65 -250 1062 761}readonly def /UniqueID 5000801 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF4E9D2405B17498276F99362748F6E97327D 7CDA3F577075245561191667923D37830EEC37A0161B6A3EC8FDD63CDB8C8D4A 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.001) readonly def /Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def /FullName (LINE10) readonly def /FamilyName (LaTeX) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /LINE10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /a0 put dup 20 /a20 put dup 45 /a45 put dup 54 /a54 put dup 64 /a64 put readonly def /FontBBox{-150 -150 1020 1020}readonly def /UniqueID 5011940 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSSI10 %!PS-AdobeFont-1.1: CMSSI10 1.0 %%CreationDate: 1991 Aug 20 17:34:37 % 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 (CMSSI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -12 def /isFixedPitch false def end readonly def /FontName /CMSSI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-97 -250 1077 759}readonly def /UniqueID 5000810 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0931DC68A9127B5D4E0A53C980F1 25B546006F90C14DDFBE6457E1FF62EDBC3E6E4C3EED9145D4C5B39CF986A3D4 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B8214B1E6BB7EFB49EB9B9D05A1E3934D8E3A3 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 0 /.notdef put readonly def /FontBBox{-341 -250 1304 965}readonly def /UniqueID 5000788 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: TeX-cmex7 %!PS-AdobeFont-1.0: TeX-cmex7 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\040cmex7) def /FullName (TeX\040cmex7\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-cmex7 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 106 /j put dup 107 /k put readonly def /FontBBox {-14 -2954 1627 771} readonly def /UniqueID 4314415 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: TeX-cmex8 %!PS-AdobeFont-1.0: TeX-cmex8 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\040cmex8) def /FullName (TeX\040cmex8\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-cmex8 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 36 /dollar put dup 37 /percent put dup 40 /parenleft put readonly def /FontBBox {-29 -2957 1554 772} readonly def /UniqueID 4314416 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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. 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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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 0 /.notdef put readonly def /FontBBox{37 -250 1349 750}readonly def /UniqueID 5087380 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C 68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 0 /.notdef put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 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 0 /.notdef put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F 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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. 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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 (CMSS10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-61 -250 999 759}readonly def /UniqueID 5000803 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BDCEEA888D07B439DBD4E8B4C9 D198C03874B5E6F8FBF4922065A92BC3E66D05DE53971CB1424510E892442858 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%%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. 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Fr(s)2622 2043 y Fo(i)p 2594 2048 56 3 v 2605 2089 a Fr(d)2659 2063 y Fp(c)h Fs(=)f(In)n(t)q(\()2911 2032 y Fr(s)2940 2043 y Fo(i)p 2912 2048 V 2924 2089 a Fr(d)2977 2063 y Fs(\))p 3030 2114 4 129 v 2341 2117 692 4 v 1949 2231 a FB(\(gr)2051 2234 y(\177)2051 2231 y(o\031te)24 b(ganze)h(Zahl)f Fn(\024)2723 2197 y Fv(s)2754 2205 y Fo(i)p 2723 2212 58 4 v 2734 2260 a Fv(d)2790 2231 y FB(\))i(so,)e(dass)h(die)g(Glei-)1949 2331 y(chungen)h(\(*\))i (erf)2488 2334 y(\177)2487 2331 y(ullt)g(sind.)1949 2502 y(Das)55 b(V)n(erfahren)i(k)n(ann)e(in)g(F)n(o)n(rm)g(f)3125 2505 y(\177)3124 2502 y(unf)i(ma-)1949 2602 y(thematisch)2370 2605 y(\177)2371 2602 y(aquivalenter)45 b(Algo)n(rithmen,)f(die)1949 2701 y(stets)i(dieselb)r(e)h(Mandatszuteilung)d(ergeb)r(en,)1949 2801 y(verw)n(endet)50 b(w)n(erden:)f(als)h(Zw)n(eischrittverfah-)1949 2901 y(ren,)22 b(als)f(H)2274 2904 y(\177)2274 2901 y (ochstzahlverfahren,)h(als)f(Rangma\031-)1949 3000 y(zahlverfahren,)84 b(als)f(P)n(aa)n(rw)n(eiser-V)n(ergleich-)1949 3100 y(V)n(erfahren)34 b(o)r(der)f(als)g(Quasi-Quotenverfahren)1949 3200 y (\(Hagenbach-Bischo\013-V)n(erfahren\).)1949 3371 y(Das)38 b(H)2178 3374 y(\177)2178 3371 y(ochstzahlverfahren)g(ist)g(ein)g(h) 3160 3374 y(\177)3159 3371 y(ubsches)1949 3470 y(Ausz)2114 3473 y(\177)2115 3470 y(ahlverfahren,)49 b(das)f(in)g(der)g (juristischen)1949 3570 y(Literatur)34 b(\(z.B.)g(Gesetzestexte\))g(b)r (eschrieb)r(en)1949 3669 y(wird)27 b(als:)1949 3820 y(")1987 3769 y(\(1\))j(Die)f(Mandate)f(w)n(erden)h(auf)h(die)f(P)n(a)n(rteien) 1949 3869 y(in)d(der)h(W)n(eise)f(verteilt,)h(dass)f(die)g(Gesamtstim-) 1949 3968 y(menzahlen,)h(die)g(f)2517 3971 y(\177)2516 3968 y(ur)i(die)e(P)n(a)n(rteien)g(festgestellt)1949 4068 y(w)n(o)n(rden)37 b(sind,)h(nacheinander)f(durch)i(1,)f(2,)g(3,) 1949 4168 y(4)31 b(usw.)h(so)f(lange)g(geteilt)g(w)n(erden,)g(bis)g(so) h(vie-)1949 4267 y(le)20 b(H)2085 4270 y(\177)2085 4267 y(ochstzahlen)g(ermittelt)g(sind,)h(als)f(Mandate)1949 4367 y(zu)27 b(vergeb)r(en)h(sind.)1949 4538 y(\(2\))f(Jeder)g(P)n(a)n (rtei)g(wird)g(dab)r(ei)f(der)h(Reihe)g(nach)1949 4638 y(so)k(oft)h(ein)g(Sitz)g(zugeteilt,)f(als)g(sie)h(jew)n(eils)f(die) 1949 4737 y(h)1992 4740 y(\177)1992 4737 y(ochste)g(T)-7 b(eilungszahl)30 b(aufzu)n(w)n(eisen)h(hat.)i(Die)1949 4837 y(T)-7 b(eilung)31 b(muss)i(so)f(lange)g(fo)n(rtgesetzt)g(w)n (erden,)1949 4937 y(bis)24 b(nach)g(V)n(erteilung)g(aller)h(Mandate)e (b)r(ei)i(jeder)p eop end %%Page: 3 3 TeXDict begin 3 2 bop 354 531 a FB(P)n(a)n(rtei)28 b(no)r(ch)g(eine)h (nicht)f(b)r(er)1259 534 y(\177)1258 531 y(ucksichtigte)f(T)-7 b(ei-)354 631 y(lungszahl)699 634 y(\177)699 631 y(ub)n(rigbleibt,)25 b(damit)h(feststeht,)g(dass)354 731 y(k)n(eine)34 b(P)n(a)n(rtei)f (eine)h(h)1015 734 y(\177)1015 731 y(ohere)g(T)-7 b(eilungszahl)33 b(auf-)354 830 y(zu)n(w)n(eisen)22 b(hat,)g(als)g(b)r(ei)h(V)n (ergebung)f(des)g(letzten)354 930 y(Mandates)27 b(b)r(er)830 933 y(\177)829 930 y(ucksichtigt)f(w)n(o)n(rden)h(ist.)-6 b(\\)354 1029 y(o)r(der)28 b(k)576 1032 y(\177)575 1029 y(urzer)354 1180 y(")393 1129 y(Man)19 b(teilt)g(die)h(Zahl)f(der)i (erhaltenen)e(Stimmen)354 1229 y(jeder)j(P)n(a)n(rtei)f(nacheinander)g (durch)g(die)g(nat)1693 1232 y(\177)1692 1229 y(urli-)354 1328 y(chen)g(Zahlen)f(1,)h(2,)g(3,)g(...)g(n.)g(Die)g(dab)r(ei)g (erhalte-)354 1428 y(nen)34 b(Bruchzahlen)f(w)n(erden)g(als)g(H)1429 1431 y(\177)1429 1428 y(ochstzahlen)354 1528 y(b)r(ezeichnet.)354 1627 y(Die)f(H)562 1630 y(\177)562 1627 y(ochstzahlen)f(w)n(erden)g (absteigend)g(nach)354 1727 y(ihrer)23 b(Gr)616 1730 y(\177)616 1727 y(o\031e)f(geo)n(rdnet.)f(Die)h(so)g(ermittelte)g(Rei-) 354 1826 y(henfolge)47 b(gibt)g(die)h(V)n(ergab)r(ereihenfolge)f(der) 354 1926 y(Mandate)26 b(an.)h(Es)f(\014nden)g(so)g(viele)g(H)1501 1929 y(\177)1501 1926 y(ochstzah-)354 2026 y(len)c(Ber)597 2029 y(\177)596 2026 y(ucksichtigung,)e(wie)i(Mandate)f(im)g(Gre-)354 2125 y(mium)28 b(zu)f(vergeb)r(en)h(sind.)-6 b(\\)354 2276 y(Das)43 b(Hagenbach-Bischo\013-V)n(erfahren)f(ermit-)354 2355 y(telt)28 b(zun)620 2358 y(\177)621 2355 y(achst)f(die)g (Sitzverteilung)g(als)p 759 2433 668 4 v 759 2682 4 250 v 787 2574 a Fu(m)849 2584 y Fr(i)895 2574 y Fs(=)970 2460 y Fj($)1141 2542 y Fr(s)1170 2553 y Fo(i)p 1025 2559 288 3 v 1025 2564 a Fi(j)1111 2599 y Fo(S)p 1065 2607 129 3 v 1065 2640 a(M)5 b Fh(+1)1204 2619 y Ft(+1)1281 2564 y Fi(k)1322 2460 y Fj(\045)1379 2574 y Fu(:)p 1423 2682 4 250 v 759 2685 668 4 v 361 2801 a FB(V)n(erbleib)r(ende)48 b(Mandate)g(w)n(erden)g(nach)g(den)354 2901 y(H)413 2904 y(\177)413 2901 y(ochstzahlen)24 b(vergeb)r(en,)i(die)f(b)r(erechnet)g (w)n(er-)354 3000 y(den)j(als)f Fy(s)663 3012 y Fv(i)690 3000 y Fy(=)p Fx(In)n(t\()p Fy(m)943 3012 y Fv(i)989 3000 y Fx(+)18 b(1\))p Fy(:)354 3171 y FB(An)42 b(einem)g(Beispiel)f (\(n)1118 3174 y(\177)1119 3171 y(achste)g(Spalte\))h(sieht)354 3271 y(man,)30 b(wie)e(b)r(ei)i(der)f(Suche)g(nach)g(einem)g(geeig-)354 3371 y(neten)41 b(Diviso)n(r)f(die)h(sta)n(rk)n(en)f(P)n(a)n(rteien)g (b)r(evo)n(r-)354 3470 y(zugt)i(w)n(erden.)f(In)h(diesem)g(F)n(alle) 1443 3473 y(\177)1442 3470 y(ub)r(ersp)n(ringt)354 3570 y(die)54 b(P)n(a)n(rtei)g(A)g(ausgehend)f(von)h(dem)g(Divi-)354 3669 y(so)n(r)39 b Fy(S=)-5 b(M)50 b Fx(=)42 b(5137)37 b FB(zw)n(eimal)h(die)g(H)1534 3672 y(\177)1533 3669 y(urde)h(zur)354 3769 y(n)396 3772 y(\177)397 3769 y(achsten)27 b(ganzen)g(Zahl)g(f)1161 3772 y(\177)1160 3769 y(ur)h(die)f(geplante)g (Ab-)354 3869 y(rundung)38 b(und)g(erh)951 3872 y(\177)952 3869 y(alt)g(damit)g(zw)n(ei)g(Mandate,)354 3968 y(von)43 b(denen)f(eines)h(b)r(esser)g(der)g(P)n(a)n(rtei)f(C)h(zu-)354 4068 y(gesp)n(rechen)35 b(w)n(o)n(rden)f(w)1102 4071 y(\177)1103 4068 y(are.)i(Die)f(gro\031en)g(P)n(a)n(r-)354 4168 y(teien)52 b(w)n(erden)g(vom)h(d'hondtschen)e(V)n(erfah-)354 4267 y(ren)36 b(grunds)728 4270 y(\177)729 4267 y(atzlich)d(b)r(evo)n (rzugt.)i(Die)g(P)n(a)n(rtei)f(A)354 4367 y(erh)461 4370 y(\177)462 4367 y(alt)41 b(b)r(ei)g(einer)g(Idealquote)f(von)h(37.64)e (\()p Fx(=)354 4467 y Fy(s)393 4479 y Fv(A)447 4467 y Fy(=q)31 b FB(mit)c Fy(q)f Fx(=)d Fy(S=)-5 b(M)9 b FB(\))27 b(tats)1219 4470 y(\177)1220 4467 y(achlich)g(39)f(Sitze.)354 4638 y(Man)40 b(sucht)f(daher)h(ein)g(V)n(erfahren,)h(b)r(ei)f(dem)354 4737 y(die)48 b(Anzahl)g(der)g(Mandate)f(f)1322 4740 y(\177)1321 4737 y(ur)i(jede)e(P)n(a)n(rtei)354 4837 y(nicht)27 b(kleiner)f(als)h(ihre)f(nach)h(unten)f(gerundete)354 4937 y(Idealquote)36 b(und)g(nicht)g(gr)1192 4940 y(\177)1192 4937 y(o\031er)g(als)h(ihre)f(nach)1949 531 y(ob)r(en)31 b(gerundete)h(Idealquote)e(ist)i(\()p Fg(Quotenkri-)1949 631 y(terium)p FB(\),)41 b(eine)f(in)g(der)g(juristischen)g(Literatur) 1949 731 y(oft)27 b(aufzu\014ndende)g(F)n(o)n(rderung.)p 1967 802 1440 4 v 1965 881 4 79 v 2063 857 a Fq(Ent)n(wicklung)f(einer) f(Mandatsverteilung)h(nach)p 3405 881 V 1965 960 V 2147 936 a(d'Hondt)f(b)r(ei)f(Anpassung)i(des)e(Diviso)n(rs:)p 3405 960 V 1967 963 1440 4 v 1967 980 V 1965 1059 4 79 v 2223 1059 V 2344 1035 a(A)p 2508 1059 V 225 w(B)p 2768 1059 V 197 w(C)p 2993 1059 V 177 w(D)p 3218 1059 V 3235 1059 V 111 w(Man-)p 3406 1059 V 1965 1138 V 2223 1138 V 2508 1138 V 2768 1138 V 2993 1138 V 3218 1138 V 3235 1138 V 3258 1114 a(date)p 3405 1138 V 1967 1141 1440 4 v 1965 1220 4 79 v 2057 1196 a Fu(s)2090 1206 y Fr(i)2116 1196 y Fq(:)p 2223 1220 V 125 w(193357)p 2508 1220 V 80 w(87740)p 2768 1220 V 68 w(29640)p 2993 1220 V 50 w(23168)p 3218 1220 V 3235 1220 V 3405 1220 V 1967 1223 1440 4 v 1965 1302 4 79 v 2017 1278 a(Ideal:)p 2223 1302 V 112 w(37.64)p 2508 1302 V 112 w(17.08)p 2768 1302 V 101 w(5.77)p 2993 1302 V 100 w(4.51)p 3218 1302 V 3235 1302 V 116 w(65)p 3405 1302 V 1967 1305 1440 4 v 1967 1322 V 1965 1401 4 79 v 2078 1377 a(d)p 2223 1401 V 2508 1401 V 2768 1401 V 2993 1401 V 3218 1401 V 3235 1401 V 3405 1401 V 1967 1404 1440 4 v 1965 1483 4 79 v 2025 1459 a(5137)p 2223 1483 V 122 w(37.64)p 2508 1483 V 112 w(17.08)p 2768 1483 V 101 w(5.77)p 2993 1483 V 100 w(4.51)p 3218 1483 V 3235 1483 V 116 w(63)p 3405 1483 V 1967 1486 1440 4 v 1965 1565 4 79 v 2025 1542 a(5090)p 2223 1565 V 122 w(37.99)p 2508 1565 V 112 w(17.24)p 2768 1565 V 101 w(5.82)p 2993 1565 V 100 w(4.55)p 3218 1565 V 3235 1565 V 116 w(63)p 3405 1565 V 1967 1569 1440 4 v 1965 1647 4 79 v 2025 1624 a(5080)p 2223 1647 V 109 w Fm(38.06)p 2508 1647 V 98 w Fq(17.27)p 2768 1647 V 101 w(5.83)p 2993 1647 V 100 w(4.56)p 3218 1647 V 3235 1647 V 116 w(64)p 3405 1647 V 1967 1651 1440 4 v 1965 1730 4 79 v 2025 1706 a(4960)p 2223 1730 V 122 w(38.98)p 2508 1730 V 112 w(17.69)p 2768 1730 V 101 w(5.98)p 2993 1730 V 100 w(4.67)p 3218 1730 V 3235 1730 V 116 w(64)p 3405 1730 V 1967 1733 1440 4 v 1965 1812 4 79 v 2025 1788 a(4950)p 2223 1812 V 109 w Fm(39.06)p 2508 1812 V 98 w Fq(17.73)p 2768 1812 V 101 w(5.99)p 2993 1812 V 100 w(4.68)p 3218 1812 V 3235 1812 V 116 w(65)p 3405 1812 V 1967 1815 1440 4 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b(nac)m(h)h(Hare-Niemey) m(er)1949 3183 y Fx(\(auc)n(h)f(Hamilton-V)-7 b(erfahren\))1949 3335 y FB(Man)28 b(w)2189 3338 y(\177)2190 3335 y(ahle)g(als)g(Diviso)n (r)h Fy(q)f Fx(=)c Fy(S=)-5 b(M)37 b FB(und)29 b(bilde)1958 3435 y Fl(f)-92 b Fy(m)2022 3447 y Fv(i)2091 3435 y Fx(=)41 b Fn(b)p Fy(s)2273 3447 y Fv(i)2301 3435 y Fy(=q)s Fn(c)p FB(.)d(Es)h(bleib)r(en)f(Mandate)3230 3438 y(\177)3229 3435 y(ub)n(rig.)1949 3534 y(Diese)21 b(w)n(erden)g(auf)h(die)g(gr)2742 3537 y(\177)2742 3534 y(o\031ten)f(verbleib)r(enden)1949 3634 y(Reste)27 b(verteilt.)h(Es)f(ergibt)g(sich)p 2080 3706 1214 4 v 2080 3955 4 250 v 2109 3847 a Fu(m)2171 3857 y Fr(i)2217 3847 y Fs(=)2292 3734 y Fj(\()2348 3802 y Fp(b)p Fu(s)2412 3812 y Fr(i)2439 3802 y Fu(=q)r Fp(c)216 b Fq(f)2778 3805 y(\177)2777 3802 y(ur)24 b(kleine)g(Reste,)2348 3897 y Fp(b)p Fu(s)2412 3907 y Fr(i)2439 3897 y Fu(=q)r Fp(c)16 b Fs(+)g(1)94 b Fq(f)2778 3900 y(\177)2777 3897 y(ur)24 b(gro\031e)g(Reste.)p 3290 3955 V 2080 3958 1214 4 v 1949 4068 a FB(Ganz)k(o\013ensichtlich)f(erf)2721 4071 y(\177)2720 4068 y(ullt)i(dieses)f(V)n(erfahren)1949 4168 y(das)41 b(Quotenkriterium.)h(Jedo)r(ch)f(treten)h(jetzt)1949 4267 y(andere)50 b(Ungereimtheiten)f(o)r(der)i(P)n(a)n(rado)n(xien)1949 4367 y(auf.)1949 4538 y(Das)c(P)n(a)n(rteienzu)n(w)n(achs-P)n(a)n(rado) n(x)p 2128 4551 871 4 v -3 w(:)h(\(12.)f(Bun-)1949 4638 y(destag)28 b({)g(Haushaltsausschuss\))f(Im)i(12.)f(Bun-)1949 4737 y(destage)38 b(b)r(esa\031)g(die)h(P)n(a)n(rtei)f(D)h(zun)3081 4740 y(\177)3082 4737 y(achst)g(k)n(ei-)1949 4837 y(nen)56 b(F)n(raktionsstatus)e(und)i(wurde)g(b)r(ei)g(der)1949 4937 y(Besetzung)32 b(des)g(Haushaltsausschusses)f(nicht)p eop end %%Page: 4 4 TeXDict begin 4 3 bop 354 531 a FB(b)r(er)465 534 y(\177)464 531 y(ucksichtigt.)54 b(Als)h(man)g(ihr)g(jedo)r(ch)f(den)354 631 y(F)n(raktionsstatus)42 b(zubilligte)h(und)g(die)h(Anzahl)354 731 y(der)27 b(Sitze)g(im)g(Haushaltsausschuss)d(um)j(1)f(ver-)354 830 y(gr)424 833 y(\177)424 830 y(o\031erte)i(\(auf)g(jeden)g(Sitz)f (im)h(Ausschuss)f(ent-)354 930 y(fallen)42 b(ca.)h(17)e (Bundestagssitze\),)h(verlo)n(r)g(die)354 1029 y(P)n(a)n(rtei)23 b(C)g(im)g(einen)g(Ausschusssitz)f(an)h(die)f(P)n(a)n(r-)354 1129 y(tei)28 b(A.)p 400 1198 1386 4 v 398 1277 4 79 v 1000 1277 V 1089 1253 a Fq(A)p 1222 1277 V 175 w(B)p 1443 1277 V 150 w(C)p 1614 1277 V 122 w(D)p 1784 1277 V 398 1356 V 449 1332 a(F)n(raktionsst)770 1335 y(\177)771 1332 y(ark)n(en:)p 1000 1356 V 103 w Fm(320)p 1222 1356 V 99 w(238)p 1443 1356 V 99 w Fq(79)p 1614 1356 V 100 w(17)p 1784 1356 V 400 1359 1386 4 v 398 1438 4 79 v 662 1414 a(Ausschusssitze)e(ohne)f(P)n(a)n(rtei)f(D)p 1784 1438 V 398 1517 V 1000 1517 V 1077 1493 a(18)p 1222 1517 V 152 w(14)p 1443 1517 V 143 w(5)p 1614 1517 V 136 w({)p 1784 1517 V 400 1520 1386 4 v 398 1599 4 79 v 682 1576 a(Ausschusssitze)i(mit)e(P)n(a)n(rtei)h(D)p 1784 1599 V 398 1678 V 1000 1678 V 1072 1654 a Fm(19)p 1222 1678 V 145 w Fq(14)p 1443 1678 V 141 w Fm(4)p 1614 1678 V 132 w Fq(1)p 1784 1678 V 400 1681 1386 4 v 354 1805 a FB(Schlie\031lich)j(erhielt)h(A)h(ab)r(er)f(nur)h(319)d(Bundes-)354 1904 y(tagssitze)i(und)h(gab)f(einen)g(Bundestagssitz)g(an)354 2004 y(die)i(P)n(a)n(rtei)f(B)h(ab.)g(Da)n(raufhin)f(musste)g(A)h(auch) 354 2104 y(einen)h(Haushaltsausschusssitz)f(wieder)h(abge-)354 2203 y(b)r(en,)c(jedo)r(ch)f(an)h(die)f(P)n(a)n(rtei)g(C.)p 400 2289 V 398 2367 4 79 v 1000 2367 V 1089 2344 a Fq(A)p 1222 2367 V 175 w(B)p 1443 2367 V 150 w(C)p 1614 2367 V 122 w(D)p 1784 2367 V 398 2446 V 449 2423 a(F)n(raktionsst)770 2426 y(\177)771 2423 y(ark)n(en:)p 1000 2446 V 103 w Fm(319)p 1222 2446 V 99 w(239)p 1443 2446 V 99 w Fq(79)p 1614 2446 V 100 w(17)p 1784 2446 V 400 2450 1386 4 v 398 2529 4 79 v 564 2505 a(Ausschuss)p 1000 2529 V 214 w Fm(18)p 1222 2529 V 145 w Fq(14)p 1443 2529 V 141 w Fm(5)p 1614 2529 V 132 w Fq(1)p 1784 2529 V 400 2532 1386 4 v 354 2685 a FB(Das)42 b(Stimmenzu)n(w)n(achs-P)n(a)n(rado)n(x)p 528 2698 895 4 v -3 w(:)h(Die)f(Man-)354 2785 y(date)75 b(der)h(P)n(a)n(rteien)e(wurden)h(nach)g(dem)354 2885 y(vo)n(rl)479 2888 y(\177)480 2885 y(au\014gen)44 b(W)n(ahlergebnis)h (und)g(dann)g(nach)354 2984 y(der)28 b(endg)656 2987 y(\177)655 2984 y(ultigen)e(Ausz)1081 2987 y(\177)1082 2984 y(ahlung)h(b)r(estimmt:)p 354 3069 1553 4 v 352 3153 4 84 v 452 3153 V 564 3129 a Fq(vo)n(rl.)p 799 3153 V 159 w(vo)n(rl.)p 1025 3153 V 1082 3115 a(\177)1076 3129 y(Ande-)p 1299 3153 V 155 w(End-)p 1646 3153 V 154 w(endg.)p 1905 3153 V 352 3231 4 79 v 452 3231 V 533 3208 a(Ergeb.)p 799 3231 V 99 w(Mand.)p 1025 3231 V 90 w(rung)p 1299 3231 V 156 w(ergeb.)p 1646 3231 V 121 w(Mand.)p 1905 3231 V 354 3235 1553 4 v 352 3314 4 79 v 381 3290 a(A)p 452 3314 V 58 w(17140354)p 799 3314 V 87 w Fm(260)p 1025 3314 V 72 w Fq(+26000)p 1299 3314 V 55 w(17166354)p 1646 3314 V 103 w Fm(259)p 1905 3314 V 354 3317 1553 4 v 352 3396 4 79 v 381 3372 a Fq(B)p 452 3396 V 58 w(16082960)p 799 3396 V 95 w(243)p 1025 3396 V 82 w(+24000)p 1299 3396 V 55 w(16106960)p 1646 3396 V 111 w(243)p 1905 3396 V 354 3399 1553 4 v 352 3478 4 79 v 382 3454 a(C)p 452 3478 V 77 w(3427196)p 799 3478 V 129 w(52)p 1025 3478 V 100 w(+25000)p 1299 3478 V 73 w(3452196)p 1646 3478 V 146 w(52)p 1905 3478 V 354 3481 1553 4 v 352 3560 4 79 v 379 3536 a(D)p 452 3560 V 74 w(3424315)p 799 3560 V 129 w(52)p 1025 3560 V 100 w(+30000)p 1299 3560 V 73 w(3452196)p 1646 3560 V 146 w(52)p 1905 3560 V 354 3563 1553 4 v 352 3642 4 79 v 383 3619 a(E)p 452 3642 V 79 w(3265407)p 799 3642 V 124 w Fm(49)p 1025 3642 V 126 w Fq(-5000)p 1299 3642 V 106 w(3260407)p 1646 3642 V 140 w Fm(50)p 1905 3642 V 354 3646 1553 4 v 354 3769 a FB(eine)55 b(b)r(emerk)n(ensw)n(erte)f(V)n(erschiebung)f(eines)354 3869 y(Mandats)28 b(von)h(A)g(nach)f(E)h(trotz)f(gegenteiligen)354 3968 y(T)-7 b(rends)27 b(b)r(ei)h(der)g(Stimmenausz)1338 3971 y(\177)1339 3968 y(ahlung!)354 4139 y(Das)70 b(Mandatszu)n(w)n (achs-P)n(a)n(rado)n(x)p 556 4152 888 4 v 67 w(\(fehlende)354 4239 y(Hausmonotonie\):)18 b(Bei)h(einem)g(Zensus)g(im)g(Jah-)354 4339 y(re)j(1870)e(in)h(den)g(USA)h(stellte)f(sich)g(heraus,)g(dass)354 4438 y(b)r(ei)34 b(einer)g(Gr)772 4441 y(\177)772 4438 y(o\031e)g(des)g(Rep)n(r)1230 4441 y(\177)1231 4438 y(asentantenhauses) 354 4538 y(von)26 b(270)f(der)i(Staat)f(Rho)r(de)g(Island)g(2)f(Sitze)i (er-)354 4638 y(halten)20 b(w)645 4641 y(\177)644 4638 y(urde,)g(in)g(einem)g(Haus)g(mit)g(280)f(Sitzen)354 4737 y(w)412 4740 y(\177)411 4737 y(urde)33 b(Rho)r(de)f(Island)g(jedo) r(ch)g(nur)h(einen)g(Sitz)354 4837 y(erhalten.)k(Zehn)f(Jahre)h(sp)1200 4840 y(\177)1201 4837 y(ater)g(1880)e(b)r(erech-)354 4937 y(nete)27 b(man)g(die)g(Zu)n(w)n(eisung)e(von)i(Mandaten)f(im)1949 531 y(amerik)n(anischen)21 b(Rep)n(r)2654 534 y(\177)2655 531 y(asentatenhaus)g(neu)i(un-)1949 631 y(ter)29 b(der)g(Annahme,)g (dass)g(eine)f(gesamte)g(Man-)1949 731 y(datsanzahl)18 b(zwischen)h(275)f(und)h(350)f(festgelegt)1949 830 y(w)2007 833 y(\177)2006 830 y(urde.)i(Es)f(stellte)h(sich)f(heraus,)h(dass)g (der)g(Staat)1949 930 y(Alabama)38 b(b)r(ei)g(insgesamt)e(299)h(Sitzen) h(8)g(Sit-)1949 1029 y(ze,)24 b(b)r(ei)h(300)e(Sitzen)h(jedo)r(ch)g (nur)h(7)f(Sitze)h(erhal-)1949 1129 y(ten)f(w)2141 1132 y(\177)2140 1129 y(urde)g(\(das)h(Alabama-P)n(a)n(rado)n(xon)p 2487 1142 693 4 v -3 w(\).)g(1882)1949 1229 y(wurde)c(das)g(Rep)n(r) 2473 1232 y(\177)2474 1229 y(asentantenhaus)e(auf)j(325)e(Sit-)1949 1328 y(ze)33 b(festgelegt)f(und)h(Alabama)g(b)r(ehielt)f(seine)h(8)1949 1428 y(Sitze.)27 b(Das)f(wiederholte)g(sich)h(nach)f(dem)h(Zen-)1949 1528 y(sus)h(1900)f(in)i(verst)2535 1531 y(\177)2536 1528 y(arktem)g(Ma\031e)f(f)3051 1531 y(\177)3050 1528 y(ur)i(die)e(V)n(er-)1949 1627 y(treter)22 b(des)f(Staates)g(Maine)g (und)g(f)2980 1630 y(\177)2979 1627 y(uhrte)h(zur)g(fol-)1949 1727 y(genden)k(Aufstellung)p 2380 1787 615 4 v 2378 1866 4 79 v 2432 1842 a Fq(Sitzzahl)p 2713 1866 V 102 w(Maine)p 2993 1866 V 2380 1869 615 4 v 2378 1948 4 79 v 2430 1924 a(350-382)p 2713 1948 V 173 w(3)p 2993 1948 V 2380 1951 615 4 v 2378 2030 4 79 v 2430 2006 a(383-385)p 2713 2030 V 173 w(4)p 2993 2030 V 2380 2033 615 4 v 2378 2112 4 79 v 2494 2089 a(386)p 2713 2112 V 238 w(3)p 2993 2112 V 2380 2116 615 4 v 2378 2194 4 79 v 2430 2171 a(387-388)p 2713 2194 V 173 w(4)p 2993 2194 V 2380 2198 615 4 v 2378 2277 4 79 v 2430 2253 a(389-390)p 2713 2277 V 173 w(3)p 2993 2277 V 2380 2280 615 4 v 2378 2359 4 79 v 2430 2335 a(391-400)p 2713 2359 V 173 w(4)p 2993 2359 V 2380 2362 615 4 v 1949 2460 a FB(und)h(zu)h(folgendem)e(Aussp)n(ruch:)1949 2611 y(")1987 2560 y(It)k(do)r(es)f(seem)h(as)f(though)g(mathematics)g (and)1949 2659 y(science)i(have)h(combined)f(to)g(mak)n(e)g(a)h (shuttle-)1949 2759 y(co)r(ck)27 b(and)h(battledo)n(re)f(\(F)n (ederballspiel\))g(of)h(the)1949 2859 y(State)e(of)f(Maine.)h(Go)r(d)g (help)f(Maine)g(when)h(ma-)1949 2958 y(thematics)h(reach)g(fo)n(r)h (her!)-6 b(\\)1949 3058 y(Scho)r(ckiert)23 b(unterlie\031)g(man)h(dann) f(die)h(p)r(er)g(V)n(er-)1949 3158 y(fassung)36 b(festgelegte)f (Neuverteilung)h(des)g(Re-)1949 3257 y(p)n(r)2017 3260 y(\177)2018 3257 y(asentantenhauses)17 b(im)h(Jahre)h(1920)e(und)h (ging)1949 3357 y(danach)27 b(zum)g(W)n(ebster-V)n(erfahren)3068 3360 y(\177)3067 3357 y(ub)r(er.)1949 3528 y(Wir)43 b(geb)r(en)f(no)r (ch)g(zw)n(ei)g(w)n(eitere)g(P)n(a)n(rado)n(xien)1949 3628 y(zum)27 b(Ha)n(re-Niemey)n(er-V)n(erfahren)g(an.)1949 3799 y(Ein)j(Bauer)h(vererbt)g(seinen)f(S)2886 3802 y(\177)2886 3799 y(ohnen)g(A)h(und)g(B)1949 3898 y(seine)20 b(K)2197 3901 y(\177)2196 3898 y(uhe)g(zu)g(je)h(42.5\045,)e(die)h(restlichen)g (K)3304 3901 y(\177)3303 3898 y(uhe)1949 3998 y(gehen)j(an)g(den)h (Sohn)f(C.)h(Bei)g(seinem)f(T)-7 b(o)r(de)23 b(b)r(e-)1949 4098 y(sitzt)e(der)h(Bauer)g(10)e(K)2636 4101 y(\177)2635 4098 y(uhe.)h(Die)g(Aufteilung)g(ge-)1949 4197 y(schieht)27 b(wie)g(folgt)p 2049 4257 1277 4 v 2047 4336 4 79 v 2166 4312 a Fq(Erb)r(en)p 2454 4336 V 208 w(A)p 2679 4336 V 178 w(B)p 2904 4336 V 161 w(C)p 3094 4336 V 3111 4336 V 139 w(ges.)p 3324 4336 V 2049 4339 1277 4 v 2049 4356 V 2047 4435 4 79 v 2120 4411 a(Erbanteil)p 2454 4435 V 124 w(42.5)p 2679 4435 V 100 w(42.5)p 2904 4435 V 109 w(15)p 3094 4435 V 3111 4435 V 131 w(100)p 3324 4435 V 2049 4438 1277 4 v 2047 4517 4 79 v 2176 4493 a(K)2226 4496 y(\177)2225 4493 y(uhe)p 2454 4517 V 178 w(4.25)p 2679 4517 V 100 w(4.25)p 2904 4517 V 100 w(1.5)p 3094 4517 V 3111 4517 V 137 w(10)p 3324 4517 V 2049 4520 1277 4 v 2047 4599 4 79 v 2184 4576 a(ganz)p 2454 4599 V 231 w(4)p 2679 4599 V 190 w(4)p 2904 4599 V 172 w(1)p 3094 4599 V 3111 4599 V 183 w(9)p 3324 4599 V 2049 4603 1277 4 v 2047 4681 4 79 v 2165 4658 a(Bruch)p 2454 4681 V 167 w(0.25)p 2679 4681 V 100 w(0.25)p 2904 4681 V 100 w(0.5)p 3094 4681 V 3111 4681 V 155 w(1)p 3324 4681 V 2049 4685 1277 4 v 2047 4764 4 79 v 2099 4740 a(Zu)n(w)n(eisung)p 2454 4764 V 147 w(4)p 2679 4764 V 190 w(4)p 2904 4764 V 172 w(2)p 3094 4764 V 3111 4764 V 165 w(10)p 3324 4764 V 2049 4767 1277 4 v 1949 4937 a FB(Die)g(b)r(eiden)g(S)2391 4940 y(\177)2391 4937 y(ohne)g(A)h(und)f(B)g(sp)r(endieren)h(nun)p eop end %%Page: 5 5 TeXDict begin 5 4 bop 354 531 a FB(eine)20 b(w)n(eitere)g(Kuh)g(in)h (das)f(zu)g(verteilende)h(Erb)r(e.)354 631 y(Dann)28 b(ergibt)f(sich)p 437 708 1312 4 v 435 787 4 79 v 554 763 a Fq(Erb)r(en)p 842 787 V 208 w(A)p 1067 787 V 178 w(B)p 1292 787 V 179 w(C)p 1517 787 V 1534 787 V 156 w(ges.)p 1747 787 V 437 790 1312 4 v 437 807 V 435 885 4 79 v 508 862 a(Erbanteil)p 842 885 V 123 w(42.5)p 1067 885 V 100 w(42.5)p 1292 885 V 128 w(15)p 1517 885 V 1534 885 V 148 w(100)p 1747 885 V 437 889 1312 4 v 435 968 4 79 v 564 944 a(K)614 947 y(\177)613 944 y(uhe)p 842 968 V 160 w(4.675)p 1067 968 V 65 w(4.675)p 1292 968 V 83 w(1.65)p 1517 968 V 1534 968 V 138 w(10)p 1747 968 V 437 971 1312 4 v 435 1050 4 79 v 572 1026 a(ganz)p 842 1050 V 230 w(4)p 1067 1050 V 191 w(4)p 1292 1050 V 190 w(1)p 1517 1050 V 1534 1050 V 200 w(9)p 1747 1050 V 437 1053 1312 4 v 435 1132 4 79 v 552 1108 a(Bruch)p 842 1132 V 150 w(0.675)p 1067 1132 V 65 w(0.675)p 1292 1132 V 83 w(0.65)p 1517 1132 V 1534 1132 V 155 w(2)p 1747 1132 V 437 1135 1312 4 v 435 1214 4 79 v 486 1191 a(Zu)n(w)n(eisung)p 842 1214 V 147 w(5)p 1067 1214 V 191 w(5)p 1292 1214 V 190 w(1)p 1517 1214 V 1534 1214 V 183 w(11)p 1747 1214 V 437 1218 1312 4 v 354 1404 a FB(Nach)37 b(der)h(Kreistagsw)n(ahl)e(im)h(W)n(etteraukreis)354 1504 y(am)31 b(12.)f(M)700 1507 y(\177)701 1504 y(arz)h(1989)e(w)n(a)n (r)h(der)h(Kreisausschuss)354 1603 y(mit)22 b(9)g(Sitzen)f(vom)h (Kreistag)f(neu)h(zu)g(b)r(esetzen.)p 425 1680 1336 4 v 423 1759 4 79 v 518 1735 a Fq(P)n(a)n(rtei)p 782 1759 V 798 1759 V 127 w(SPD)p 968 1759 V 33 w(CDU)p 1142 1759 V 40 w(Gr)1241 1738 y(\177)1240 1735 y(une)p 1367 1759 V 40 w(Rep.)p 1529 1759 V 1546 1759 V 81 w(ges.)p 1759 1759 V 425 1762 1336 4 v 423 1841 4 79 v 474 1818 a(Mandate)p 782 1841 V 798 1841 V 118 w(38)p 968 1841 V 102 w(29)p 1142 1841 V 147 w(7)p 1367 1841 V 158 w(5)p 1529 1841 V 1546 1841 V 152 w(79)p 1759 1841 V 425 1845 1336 4 v 423 1923 4 79 v 532 1900 a(Sitze)p 782 1923 V 798 1923 V 147 w(4,33)p 968 1923 V 47 w(3,30)p 1142 1923 V 74 w(0,80)p 1367 1923 V 69 w(0,57)p 1529 1923 V 1546 1923 V 124 w(9)p 1759 1923 V 425 1927 1336 4 v 423 2006 4 79 v 536 1982 a(ganz)p 782 2006 V 798 2006 V 195 w(4)p 968 2006 V 137 w(3)p 1142 2006 V 165 w(0)p 1367 2006 V 158 w(0)p 1529 2006 V 1546 2006 V 169 w(7)p 1759 2006 V 425 2009 1336 4 v 423 2088 4 79 v 516 2064 a(Bruch)p 782 2088 V 798 2088 V 132 w(0,33)p 968 2088 V 47 w(0,30)p 1142 2088 V 74 w(0,80)p 1367 2088 V 69 w(0,57)p 1529 2088 V 1546 2088 V 124 w(2)p 1759 2088 V 425 2091 1336 4 v 423 2170 4 79 v 450 2146 a(Zu)n(w)n(eisung)p 782 2170 V 798 2170 V 112 w(4)p 968 2170 V 137 w(3)p 1142 2170 V 165 w(1)p 1367 2170 V 155 w Fm(1)p 1529 2170 V 1546 2170 V 166 w Fq(9)p 1759 2170 V 425 2173 1336 4 v 354 2288 a FB(Der)i(Kreistag)e(b)r(eschloss,)g(den)h(Kreisausschuss) 354 2388 y(um)28 b(einen)f(Sitz)h(auf)f(10)g(zu)h(vergr)1384 2391 y(\177)1384 2388 y(o\031ern.)p 425 2465 V 423 2544 4 79 v 518 2520 a Fq(P)n(a)n(rtei)p 782 2544 V 798 2544 V 127 w(SPD)p 968 2544 V 33 w(CDU)p 1142 2544 V 40 w(Gr)1241 2523 y(\177)1240 2520 y(une)p 1367 2544 V 40 w(Rep.)p 1529 2544 V 1546 2544 V 81 w(ges.)p 1759 2544 V 425 2547 1336 4 v 423 2626 4 79 v 474 2602 a(Mandate)p 782 2626 V 798 2626 V 118 w(38)p 968 2626 V 102 w(29)p 1142 2626 V 147 w(7)p 1367 2626 V 158 w(5)p 1529 2626 V 1546 2626 V 152 w(79)p 1759 2626 V 425 2629 1336 4 v 423 2708 4 79 v 532 2685 a(Sitze)p 782 2708 V 798 2708 V 147 w(4,81)p 968 2708 V 47 w(3,67)p 1142 2708 V 74 w(0,89)p 1367 2708 V 69 w(0,63)p 1529 2708 V 1546 2708 V 107 w(10)p 1759 2708 V 425 2711 1336 4 v 423 2790 4 79 v 536 2767 a(ganz)p 782 2790 V 798 2790 V 195 w(4)p 968 2790 V 137 w(3)p 1142 2790 V 165 w(0)p 1367 2790 V 158 w(0)p 1529 2790 V 1546 2790 V 169 w(7)p 1759 2790 V 425 2794 1336 4 v 423 2873 4 79 v 516 2849 a(Bruch)p 782 2873 V 798 2873 V 132 w(0,81)p 968 2873 V 47 w(0,67)p 1142 2873 V 74 w(0,89)p 1367 2873 V 69 w(0,63)p 1529 2873 V 1546 2873 V 124 w(3)p 1759 2873 V 425 2876 1336 4 v 423 2955 4 79 v 450 2931 a(Zu)n(w)n(eisung)p 782 2955 V 798 2955 V 112 w(5)p 968 2955 V 137 w(4)p 1142 2955 V 165 w(1)p 1367 2955 V 155 w Fm(0)p 1529 2955 V 1546 2955 V 149 w Fq(10)p 1759 2955 V 425 2958 1336 4 v 354 3154 a Fk(Das)143 b(V)-8 b(erfahren)142 b(nac)m(h)i(Sain)m(te-)354 3253 y(Lagu)n(\177)-46 b(e)33 b Fx(\(auc)n(h)27 b(W)-7 b(ebster-V)g (erfahren\))354 3406 y FB(Man)27 b(b)r(estimme)h(einen)f(Diviso)n(r)g Fy(d)h FB(und)f(die)p 888 3501 410 4 v 888 3641 4 141 v 916 3588 a Fy(m)989 3600 y Fv(i)1039 3588 y Fx(=)c Fn(h)1169 3554 y Fv(s)1200 3562 y Fo(i)p 1169 3569 58 4 v 1181 3616 a Fv(d)1237 3588 y Fn(i)p 1294 3641 4 141 v 888 3644 410 4 v 354 3797 a FB(\(=)38 b(standa)n(rd-gerundete)e (Zahl\))h(so,)g(dass)g(die)354 3897 y(Gleichungen)27 b(\(*\))h(erf)1026 3900 y(\177)1025 3897 y(ullt)f(sind.)354 4068 y(Diese)d(Metho)r(de)g(ist)h(w)n(eitgehend)d(resistent)j(ge-)354 4168 y(gen)31 b(P)n(a)n(rado)n(xien,)e(k)n(ann)h(ab)r(er)h(das)g (Quotenkri-)354 4267 y(terium)c(eb)r(enfalls)g(verletzen.)g(W)n(eitere) g(Metho-)354 4367 y(den)f(gehen)e(auf)i(Hill-Huntingtom,)d(Dean)i(o)r (der)354 4467 y(Adams)j(zur)726 4470 y(\177)725 4467 y(uck.)354 4638 y(Bei)d(all)g(diesen)f(Metho)r(den)f(sto\031en)h(wir)h (auf)g(das)354 4737 y(Problem)j(der)g(Rundung.)e(Betrachten)i(wir)g (den)354 4837 y(einfachsten)36 b(F)n(all)f(mit)h(zw)n(ei)f(P)n(a)n (rteien)g Fy(X)42 b FB(und)354 4937 y Fy(Y)19 b FB(.)29 b(Ihr)g(Stimmenverh)1049 4940 y(\177)1050 4937 y(altnis)f(sei)h Fx(\()p Fy(p)1455 4949 y Fv(X)1518 4937 y Fx(;)14 b Fy(p)1597 4949 y Fv(Y)1654 4937 y Fx(\))29 b FB(mit)1949 531 y Fy(p)1991 543 y Fv(X)2077 531 y Fx(+)23 b Fy(p)2207 543 y Fv(Y)2299 531 y Fx(=)34 b(1)g FB(und)h Fy(p)2680 543 y Fv(X)2777 531 y Fn(\025)g Fx(0)p FB(,)f Fy(p)3018 543 y Fv(Y)3110 531 y Fn(\025)g Fx(0)p FB(.)h(Die)1949 631 y(Sitzzu)n(w)n(eisung)e(ist)i Fy(z)k Fx(=)d Fy(t)24 b Fn(\001)f Fx(\()p Fy(p)2933 643 y Fv(X)2996 631 y Fx(;)14 b Fy(p)3075 643 y Fv(Y)3133 631 y Fx(\))p FB(.)35 b(Dab)r(ei)1949 731 y(ist)27 b Fy(t)h FB(die)f(Gesamtzahl)g(der)h(Sitze.)1949 902 y(Ein)41 b(Beispiel:)h Fy(p)2474 914 y Fv(X)2584 902 y Fx(=)47 b(0)p Fy(;)14 b Fx(375)p FB(,)40 b Fy(p)3006 914 y Fv(Y)3110 902 y Fx(=)47 b(0)p Fy(;)14 b Fx(625)1949 1001 y FB(und)40 b Fy(t)45 b Fx(=)f(5)d FB(ergeb)r(en)f(eine)g(Zu)n(w)n (eisung)f Fy(z)48 b Fx(=)1949 1101 y(5)26 b Fn(\001)g Fx(\(0)p Fy(;)14 b Fx(375;)g(0)p Fy(;)g Fx(625\))38 b(=)k(\(1)p Fy(;)14 b Fx(875;)g(3)p Fy(;)g Fx(125\))p FB(,)36 b(also)1949 1201 y(1,875)18 b(Sitze)h(f)2372 1204 y(\177)2371 1201 y(ur)h(die)f(P)n(a)n(rtei)g Fy(X)26 b FB(und)20 b(3,125)d(Sitze)1949 1300 y(f)1975 1303 y(\177)1974 1300 y(ur)30 b(die)g(P)n(a)n(rtei)f Fy(Y)19 b FB(.)30 b(Hier)g(ist)f(die)h(Standa)n(rdrun-)1949 1400 y(dung)35 b(einfach.)g(Die)g(0,875)f(Sitze)h(w)n(erden)g(auf)1949 1499 y(einen)27 b(Sitz)i(f)2343 1502 y(\177)2342 1499 y(ur)f Fy(X)35 b FB(aufgerundet,)28 b Fy(Y)46 b FB(b)r(ek)n(ommt)1949 1599 y(k)n(einen)26 b(w)n(eiteren)h(Sitz.)1949 1770 y(Diese)40 b(Aufteilung)h(f)2600 1773 y(\177)2599 1770 y(ur)h(verschiedene)f Fy(t)g FB(f)3282 1773 y(\177)3281 1770 y(uhrt)1949 1870 y(zu)d(Punkten)f(auf)i(einer)f(Geraden)g(wie)g(in)g(der)1949 1969 y(Abbildung.)p 2362 2734 709 13 v 2988 2728 a Ff(-)p 2356 2728 13 650 v 2362 2161 a(6)2362 2728 y(\024)2412 2645 y(\024)2462 2562 y(\024)2512 2479 y(\024)2561 2396 y(\024)2611 2313 y(\024)2661 2230 y(\024)2667 2220 y(\024)p 2362 2612 615 4 v 2362 2493 V 2362 2375 V 2362 2257 V 2362 2139 V 2479 2728 4 615 v 2597 2728 V 2715 2728 V 2833 2728 V 2951 2728 V -355 w(@)2445 2303 y(@)2528 2387 y(@)2611 2470 y(@)2694 2553 y(@)2777 2636 y(@)2860 2719 y(@)2870 2728 y(@)2407 2655 y Fe(r)2451 2580 y(r)2496 2506 y(r)2539 2433 y(r)2584 2358 y(s)2628 2285 y(r)2673 2211 y(r)2717 2137 y(c)2469 2787 y Fd(1)2303 2622 y(1)3012 2704 y FB(X)2244 2197 y(Y)1949 2912 y(F)1997 2915 y(\177)1996 2912 y(ur)19 b Fy(t)k Fx(=)g(5)p FB(,)18 b(den)h(Beispielfall,)f(erh) 2969 2915 y(\177)2970 2912 y(alt)g(man)h(einen)1949 3012 y(Schnittpunkt)24 b(der)h(Geraden)h Fy(z)g Fx(=)d Fy(t)13 b Fn(\001)g Fx(\()p Fy(p)3170 3024 y Fv(X)3234 3012 y Fx(;)h Fy(p)3313 3024 y Fv(Y)3370 3012 y Fx(\))p FB(,)1949 3111 y(die)31 b(gezeichneten)g(Punkte,)g(mit)h(der)g(Geraden)1949 3211 y Fy(x)19 b Fx(+)f Fy(y)25 b Fx(=)e(5)p FB(.)k(Die)h(Rundung)e(f) 2852 3214 y(\177)2851 3211 y(uhrt)i(auf)g Fx(\(2)p Fy(;)14 b Fx(3\))p FB(.)1949 3382 y(Eigentlich)28 b(interessiert)h(f)2748 3385 y(\177)2747 3382 y(ur)h(die)g(Rundung)e(der)1949 3482 y(Bruchteile)43 b(nur)g(das)g(1x1)g(Quadrat,)g(in)g(dem)1949 3581 y(der)33 b(Schnittpunkt)g(liegt.)f(Wir)i(legen)f(alle)g(die-)1949 3681 y(se)g(Quadrate)g(aufeinander)g(und)g(erhalten)g(das)1949 3781 y(folgende)26 b(Einheitsquadrat.)p 2404 4557 567 13 v 2397 4551 13 567 v 2404 3990 567 13 v 2964 4551 13 567 v 2404 4551 a Ff(\024)2453 4468 y(\024)2503 4385 y(\024)2553 4302 y(\024)2603 4219 y(\024)2653 4136 y(\024)2694 4067 y(\024)2617 4196 y Fe(t)2598 3927 y Fd(1)2744 4551 y Ff(\024)2794 4468 y(\024)2843 4385 y(\024)2893 4302 y(\024)2921 4256 y(\024)2829 4409 y Fe(t)2810 3927 y Fd(2)2404 4173 y Ff(\024)2453 4090 y(\024)2467 4067 y(\024)2475 4054 y Fe(t)2456 3927 y Fd(3)2517 4551 y Ff(\024)2567 4468 y(\024)2617 4385 y(\024)2666 4302 y(\024)2716 4219 y(\024)2766 4136 y(\024)2807 4067 y(\024)2687 4268 y Fe(t)2668 3927 y Fd(4)2857 4551 y Ff(\024)2907 4468 y(\024)2921 4445 y(\024)2901 4479 y Fe(v)2882 3927 y Fd(5)2630 4551 y Ff(\024)2680 4468 y(\024)2730 4385 y(\024)2780 4302 y(\024)2830 4219 y(\024)2879 4136 y(\024)2921 4067 y(\024)2545 4126 y Fe(t)2526 3927 y Fd(6)2404 4362 y Ff(\024)2453 4279 y(\024)2503 4196 y(\024)2553 4113 y(\024)2581 4067 y(\024)2759 4337 y Fe(t)2740 3927 y Fd(7)2687 4494 y Fc(X)2593 4154 y(Y)2404 4551 y Ff(\000)2487 4468 y(\000)2570 4385 y(\000)2653 4302 y(\000)2736 4219 y(\000)2819 4136 y(\000)2887 4067 y(\000)1949 4737 y FB(Die)60 b(Abschnitte)g(der)g (Geraden)h(in)f(diesem)1949 4837 y(Einheitsquadrat)e(und)h(die)f(entsp) n(rechenden)1949 4937 y(Schittpunkte)41 b(f)2459 4940 y(\177)2458 4937 y(ur)i(verschiedene)e Fy(t)i FB(sind)e(hier)p eop end %%Page: 6 6 TeXDict begin 6 5 bop 354 531 a FB(da)n(rgestellt.)25 b(Die)h(Rundung)f(erfolgt)g(nach)h(links)354 631 y(ob)r(en)32 b(f)579 634 y(\177)578 631 y(ur)h Fy(Y)51 b FB(und)32 b(nach)g(rechts)g(unten)f(f)1629 634 y(\177)1628 631 y(ur)i Fy(X)7 b FB(.)354 731 y(Die)33 b(Gerade)h(verl)900 734 y(\177)901 731 y(auft)g(jetzt)f(auf)h(einem)f(T)-7 b(o)n(rus)354 830 y(der)28 b(Dimension)e(2.)354 1001 y(Das)32 b(ergibt)g(ein)g(endliches)f(dynamisches)g(Sys-)354 1101 y(tem)22 b(l)528 1104 y(\177)529 1101 y(angs)g(der)g(punktierten)g (Menge.)f(Das)h(V)n(er-)354 1201 y(halten)i(ist)f(chaotisch.)g(Bei)h (mehr)g(als)f(zw)n(ei)g(P)n(a)n(r-)354 1300 y(teien)40 b(wird)g(das)g(System)h(h)1237 1303 y(\177)1237 1300 y(oher)e(dimensional)354 1400 y(und)h(b)r(e\014ndet)e(sich)h(auf)h (einem)f(h)1445 1403 y(\177)1445 1400 y(oherdimen-)354 1499 y(sionalen)27 b(T)-7 b(o)n(rus.)354 1750 y FC(W)e(er)37 b(hat)h(die)g(Mac)m(h)m(t?)354 1914 y FB(Um)23 b(allen)g(Zw)n(eifeln)f (zu)h(b)r(egegnen,)f(ob)g(es)h(denn)354 2013 y(wirklich)h(auf)g(die)g (eine)g(Stimme)g(ank)n(ommt,)f(um)354 2113 y(die)35 b(wir)f(b)r(ei)h (der)f(Rundung)f(gerungen)h(hab)r(en,)354 2213 y(sei)20 b(hier)g(ein)g(Beispiel)f(gegeb)r(en)g(mit)h(drei)g(P)n(a)n(rtei-)354 2312 y(en)28 b(und)f(mit)h(der)f(F)n(rage,)h(w)n(er)f(b)r(ei)h(dieser)f (Stim-)354 2412 y(menverteilung)h(die)f(Macht)h(hat.)g(Wir)g(nehmen)354 2511 y(an,)e(dass)f(die)g(absolute)f(Mehrheit)h(b)r(ei)g(Abstim-)354 2611 y(mungen)i(erreicht)h(w)n(erden)f(muss.)p 629 2713 927 4 v 627 2792 4 79 v 672 2768 a Fq(P)n(a)n(rtei)p 886 2792 V 902 2792 V 102 w(Sitze)p 1129 2792 V 83 w(Machtindex)p 1554 2792 V 629 2795 927 4 v 629 2812 V 627 2890 4 79 v 692 2867 a(CSU)p 886 2890 V 902 2890 V 158 w Fs(10)p 1129 2890 V 209 w(100\045)p 1554 2890 V 629 2894 927 4 v 627 2973 4 79 v 691 2949 a Fq(SPD)p 886 2973 V 902 2973 V 174 w Fs(5)p 1129 2973 V 261 w(0\045)p 1554 2973 V 629 2976 927 4 v 627 3055 4 79 v 671 3031 a Fq(Gr)743 3034 y(\177)742 3031 y(une)p 886 3055 V 902 3055 V 155 w Fs(4)p 1129 3055 V 261 w(0\045)p 1554 3055 V 629 3058 927 4 v 354 3198 a FB(Bei)35 b(der)g(gegeb)r(en)e(Konstellation)f(k) 1490 3201 y(\177)1490 3198 y(onnen)h(die)354 3298 y(SPD)k(und)g(die)f (Gr)936 3301 y(\177)935 3298 y(unen)i(gleich)d(zuhause)i(blei-)354 3397 y(b)r(en,)k(w)n(eil)f(die)h(CSU)g(die)g(absolute)e(Mehrheit)354 3497 y(hat.)28 b(Daher)g(auch)f(der)h(Machtindex.)354 3668 y(V)n(erliert)39 b(die)f(CSU)g(jetzt)g(ab)r(er)h(einen)f(Sitz)g (an)354 3768 y(die)c(SPD,)g(dann)f(hat)h(jede)f(P)n(a)n(rtei)h(die)f (gleiche)354 3867 y(Macht,)23 b(denn)g(f)838 3870 y(\177)837 3867 y(ur)h(jede)f(Entscheidung)e(m)1645 3870 y(\177)1644 3867 y(ussen)354 3967 y(zw)n(ei)27 b(o)r(der)h(mehr)g(P)n(a)n(rteien)f (zustimmen.)p 629 4053 V 627 4132 4 79 v 672 4108 a Fq(P)n(a)n(rtei)p 886 4132 V 902 4132 V 102 w(Sitze)p 1129 4132 V 83 w(Machtindex)p 1554 4132 V 629 4135 927 4 v 629 4151 V 627 4230 4 79 v 692 4207 a(CSU)p 886 4230 V 902 4230 V 176 w Fs(9)p 1129 4230 V 210 w(33)p Fu(;)12 b Fs(3\045)p 1554 4230 V 629 4234 927 4 v 627 4313 4 79 v 691 4289 a Fq(SPD)p 886 4313 V 902 4313 V 174 w Fs(6)p 1129 4313 V 210 w(33)p Fu(;)g Fs(3\045)p 1554 4313 V 629 4316 927 4 v 627 4395 4 79 v 671 4371 a Fq(Gr)743 4374 y(\177)742 4371 y(une)p 886 4395 V 902 4395 V 155 w Fs(4)p 1129 4395 V 210 w(33)p Fu(;)g Fs(3\045)p 1554 4395 V 629 4398 927 4 v 354 4538 a FB(Die)23 b(V)n(erzerrung)g(durch)g(das)g(d'hondtsche)f(V)n(er-)354 4638 y(fahren)39 b(und)g(die)f(ungew)1137 4641 y(\177)1137 4638 y(ohnliche)e(Koalitions-)354 4737 y(bildung)j(wird)h(auch)g (deutlich)f(an)g(der)i(Ho)r(ch-)354 4837 y(rechnung)19 b(der)h(Landtagsw)n(ahlen)e(in)h(Schleswig-)354 4937 y(Holstein)29 b(am)h(20.2.2005)d(gegen)h(21:00)g(\(unter)1949 531 y(Ber)2070 534 y(\177)2069 531 y(ucksichtigung)e(der)h(5\045)h(Sp)r (errklausel:)p 2047 589 1281 4 v 2045 668 4 79 v 2099 644 a Fq(P)n(a)n(rtei)p 2322 668 V 2338 668 V 168 w(\045)p 2594 668 V 2832 668 V 392 w(Sitze)p 3088 668 V 3325 668 V 2045 747 V 2322 747 V 2338 747 V 2382 723 a(P)n(a)n(rtei)p 2594 747 V 83 w(Koal.)p 2832 747 V 83 w(P)n(a)n(rtei)p 3088 747 V 84 w(Koal.)p 3325 747 V 2047 750 1281 4 v 2047 767 V 2045 846 4 79 v 2118 822 a(SPD)p 2322 846 V 2338 846 V 146 w Fs(38)p Fu(;)12 b Fs(5)p 2594 846 V 2832 846 V 390 w(28)p 3088 846 V 3325 846 V 2047 849 550 4 v 2834 849 256 4 v 2045 924 4 79 v 2097 901 a Fq(Gr)2169 904 y(\177)2168 901 y(une)p 2322 924 V 2338 924 V 146 w Fs(6)p Fu(;)g Fs(2)p 2594 924 V 127 w(48)p Fu(;)g Fs(3)p 2832 924 V 161 w(4)p 3088 924 V 194 w(34)p 3325 924 V 2047 928 550 4 v 2834 928 256 4 v 2045 1003 4 79 v 2113 980 a Fq(SSW)p 2322 1003 V 2338 1003 V 159 w Fs(3)p Fu(;)g Fs(6)p 2594 1003 V 2832 1003 V 425 w(2)p 3088 1003 V 3325 1003 V 2047 1007 1281 4 v 2045 1085 4 79 v 2113 1062 a Fq(CDU)p 2322 1085 V 2338 1085 V 142 w Fs(40)p Fu(;)g Fs(2)p 2594 1085 V 2832 1085 V 390 w(30)p 3088 1085 V 3325 1085 V 2047 1089 550 4 v 2834 1089 256 4 v 2045 1164 4 79 v 2117 1141 a Fq(FDP)p 2322 1164 V 2338 1164 V 164 w Fs(6)p Fu(;)g Fs(7)p 2594 1164 V 2652 1096 a Fq(46,9)p 2832 1164 V 2944 1141 a Fs(5)p 3088 1164 V 3173 1096 a Fq(35)p 3325 1164 V 2047 1168 1281 4 v 2045 1246 4 79 v 2088 1223 a(andere)p 2322 1246 V 2338 1246 V 137 w Fs(4)p Fu(;)g Fs(8)p 2594 1246 V 168 w Fp(\000)p 2832 1246 V 192 w(\000)p 3088 1246 V 192 w(\000)p 3325 1246 V 2047 1250 1281 4 v 1949 1346 a FB(Ein)40 b(lesensw)n(erter)f (Artik)n(el)2827 1349 y(\177)2826 1346 y(ub)r(er)i(die)f(Berech-)1949 1445 y(nung)f(des)h(Machtindex)f(unter)h(Ber)3096 1448 y(\177)3095 1445 y(ucksichti-)1949 1545 y(gung)45 b(von)g(Koalitionen)f ([K2001)m(])i(stellt)g(den)1949 1645 y(verlo)n(renen)32 b(Kampf)g(der)g(deutschen)g(Delegati-)1949 1744 y(on)g(b)r(eim)g (EU-Gipfel)g(in)g(Nizza)h(da)n(r.)f(Deutsch-)1949 1844 y(land)20 b(erhielt)g(do)n(rt)f(nach)h(langem)g(Kampf)g(w)n(egen)1949 1943 y(seines)30 b(durch)h(die)f(Wiedervereinigung)g(h)3244 1946 y(\177)3244 1943 y(ochs-)1949 2043 y(ten)42 b(Bev)2231 2046 y(\177)2231 2043 y(olk)n(erungsanteils)e(in)j(der)f(EU)h(insge-) 1949 2143 y(samt)19 b(0,0000084\045)c(mehr)k(Macht)g(zugebilligt)e({) 1949 2242 y(7,71453637\045)27 b(gegen)2648 2245 y(\177)2647 2242 y(ub)r(er)k(7,71452797\045)d(f)3355 2245 y(\177)3354 2242 y(ur)1949 2342 y(F)n(rankreich,)f(Gro\031b)n(ritannien)g(und)g (Italien.)1949 2534 y FC(P)m(olyphonie)1949 2687 y FB(Bei)d(der)g(W)n (ahl)g(f)2446 2690 y(\177)2445 2687 y(ur)h(nur)f(ein)g(Mandat,)g(z.B.)g (zum)1949 2787 y(Staatsp)n(r)2235 2790 y(\177)2236 2787 y(asidenten)37 b(von)h(F)n(rankreich,)h(w)n(erden)1949 2886 y(zum)65 b(Erreichen)g(der)h(absoluten)e(Mehrheit)1949 2986 y(mehrere)43 b(W)n(ahlg)2488 2989 y(\177)2489 2986 y(ange,)e(z.T.)i(unter)g(nur)g(zw)n(ei)1949 3086 y(Kandidaten,)c (ausgetragen.)f(Bei)i(W)n(ettk)3248 3089 y(\177)3249 3086 y(amp-)1949 3185 y(fen)24 b(w)n(erden)g(Ausscheidungsk)2887 3188 y(\177)2888 3185 y(ampfe)e(zwischen)1949 3285 y(jew)n(eils)31 b(zw)n(ei)g(Kandidaten)f(ausgetragen,)h(alles)1949 3384 y(Metho)r(den,)j(die)h(voller)h(P)n(a)n(rado)n(xien)e(sind)h(und)1949 3484 y(tiefe)21 b(mathematische)g(Untersuchungen)f(erfo)n(r-)1949 3584 y(dern.)50 b(Zur)g(Erl)2442 3587 y(\177)2443 3584 y(auterung)f(ein)g(Beispiel)g(einer)1949 3683 y(Lehrbuchausw)n(ahl,)18 b(b)r(ei)i(der)f(Lehrb)3028 3686 y(\177)3027 3683 y(ucher)h(nach-)1949 3783 y(einander)35 b(gegen)2477 3786 y(\177)2476 3783 y(ub)r(ergestellt)e(w)n(erden)i(und)g(so)1949 3883 y(das)f(von)f(den)h (meisten)g(im)g(Kollegium)e(b)r(evo)n(r-)1949 3982 y(zugte)27 b(Buch)h(\()p Fn(\037)p FB(\))f(b)r(estimmt)h(wird:)p 1964 4044 1447 4 v 1962 4123 4 79 v 2005 4100 a Fu(B)23 b Fp(\037)d Fu(A)p 2249 4123 V 83 w(C)k Fp(\037)c Fu(B)p 2537 4123 V 86 w(D)i Fp(\037)d Fu(C)p 2829 4123 V 88 w(E)k Fp(\037)d Fu(D)p 3122 4123 V 85 w(F)29 b Fp(\037)19 b Fu(E)p 3409 4123 V 1964 4127 1447 4 v 1962 4206 4 79 v 2025 4182 a Fs(100\045)p 2249 4206 V 123 w(100\045)p 2537 4206 V 144 w(66\045)p 2829 4206 V 163 w(66\045)p 3122 4206 V 161 w(66\045)p 3409 4206 V 1964 4209 1447 4 v 1949 4305 a FB(Damit)47 b(w)n(a)n(r)g(das)f(Lehrbuch)i Fy(F)59 b FB(ausgew)3270 4308 y(\177)3271 4305 y(ahlt.)1949 4404 y(T)-7 b(ats)2100 4407 y(\177)2101 4404 y(achlich)24 b(w)n(a)n(r)h(die)g(Meinung)g(der)g(Lehrer)h(im)1949 4504 y(Kollegium)f(ganz)i(anders:)p 2050 4562 1275 4 v 2048 4640 4 79 v 2091 4617 a Fq(Stimmen)p 2393 4640 V 369 w(Pr)2788 4620 y(\177)2789 4617 y(aferenz)p 3323 4640 V 2050 4644 1275 4 v 2050 4660 V 2048 4763 4 103 v 2187 4735 a Fs(10)p 2393 4763 V 179 w Fu(E)c Fp(\037)c Fu(D)j Fp(\037)d Fu(C)25 b Fp(\037)19 b Fu(B)k Fp(\037)d Fu(A)f Fp(\037)p 3186 4664 97 4 v 3186 4760 4 96 v 48 w Fb(F)p 3279 4760 V 3186 4763 97 4 v 3323 4763 4 103 v 2050 4766 1275 4 v 2048 4869 4 103 v 2187 4841 a Fs(10)p 2393 4869 V 179 w Fu(D)i Fp(\037)f Fu(C)k Fp(\037)c Fu(B)j Fp(\037)c Fu(A)h Fp(\037)p 3036 4770 97 4 v 3036 4865 4 96 v 48 w Fb(F)p 3130 4865 V 3036 4868 97 4 v 48 w Fp(\037)f Fu(E)p 3323 4869 4 103 v 2050 4872 1275 4 v 2048 4975 4 103 v 2187 4946 a Fs(10)p 2393 4975 V 179 w Fu(C)24 b Fp(\037)c Fu(B)j Fp(\037)c Fu(A)h Fp(\037)p 2882 4875 97 4 v 2882 4971 4 96 v 48 w Fb(F)p 2976 4971 V 2882 4974 97 4 v 48 w Fp(\037)f Fu(E)k Fp(\037)d Fu(D)p 3323 4975 4 103 v 2050 4978 1275 4 v eop end %%Page: 7 7 TeXDict begin 7 6 bop 354 531 a FB(Es)27 b(l)482 534 y(\177)483 531 y(age)g(n)671 534 y(\177)672 531 y(aher,)h(hier)g(die)f (W)n(ahl)g Fy(C)34 b FB(zu)28 b(tre\013en.)354 702 y(Bei)48 b(der)h(W)n(ahl)e(des)h(V)n(o)n(rsitzenden)f(des)g(Ka-)354 802 y(ninchenz)657 805 y(\177)656 802 y(uchtervereins,)60 b(seines)f(Stellvertre-)354 902 y(ters)39 b(und)f(des)g(2.)g (Stellvertreters)h(stehen)f(nur)354 1001 y(drei)d(Kandidaten)d(zur)j(V) n(erf)1232 1004 y(\177)1231 1001 y(ugung.)f(Jedes)g(der)354 1101 y(11)d(V)n(ereinsmitglieder)g(gibt)g(eine)h(Stimme)g(ab.)354 1201 y(Das)c(Ergebnis)e(ist)p 782 1277 621 4 v 780 1356 4 79 v 824 1332 a Fq(Einfache)f(Mehrheit)p 1401 1356 V 782 1359 621 4 v 782 1376 V 780 1455 4 79 v 824 1431 a(M)887 1434 y(\177)886 1431 y(uller)p 1106 1455 V 226 w Fs(5)p 1401 1455 V 782 1458 621 4 v 780 1537 4 79 v 824 1513 a Fq(W)n(agner)p 1106 1537 V 188 w Fs(4)p 1401 1537 V 782 1540 621 4 v 780 1619 4 79 v 824 1595 a Fq(Schmidt)p 1106 1619 V 173 w Fs(2)p 1401 1619 V 782 1622 621 4 v 354 1737 a FB(W)n(eil)c(ja)g(ab)r(er)g(auch)g(der)g(Stellvertreter)h (gew)1698 1740 y(\177)1699 1737 y(ahlt)354 1837 y(wird,)48 b(meint)f(man,)g(eine)g(W)n(ahl)h(mit)f(jew)n(eils)354 1936 y(2)34 b(Stimmen)h(\(ohne)f(H)1062 1939 y(\177)1063 1936 y(aufelung\))g(abhalten)g(zu)354 2036 y(m)421 2039 y(\177)420 2036 y(ussen)27 b(und)h(erh)898 2039 y(\177)899 2036 y(alt)p 802 2099 582 4 v 800 2178 4 79 v 843 2154 a Fq(Je)d(zw)n(ei)e(Stimmen)p 1381 2178 V 802 2181 582 4 v 802 2198 V 800 2277 4 79 v 843 2253 a(Schmidt)p 1125 2277 V 154 w Fs(9)p 1381 2277 V 802 2280 582 4 v 800 2359 4 79 v 843 2335 a Fq(W)n(agner)p 1125 2359 V 169 w Fs(8)p 1381 2359 V 802 2362 582 4 v 800 2441 4 79 v 843 2418 a Fq(M)906 2421 y(\177)905 2418 y(uller)p 1125 2441 V 207 w Fs(5)p 1381 2441 V 802 2445 582 4 v 354 2559 a FB(Um)38 b(zwischen)f(dem)g(V)n(o)n(rsitzenden)g(und)g(dem)354 2659 y(Stellvertreter)70 b(unterscheiden)f(zu)g(k)1601 2662 y(\177)1601 2659 y(onnen,)354 2759 y(erh)461 2762 y(\177)462 2759 y(alt)25 b(nun)g(jeder)h(3)e(Stimmen,)h(2)g(f)1439 2762 y(\177)1438 2759 y(ur)h(den)e(V)n(o)n(r-)354 2858 y(sitzenden)j(und)h(1)f(f)954 2861 y(\177)953 2858 y(ur)h(den)f (Stellvertreter:)p 773 2921 639 4 v 771 3000 4 79 v 815 2977 a Fq(Stimmen)e(2)f({)f(1)h({)g(0)p 1410 3000 V 773 3004 639 4 v 773 3020 V 771 3099 4 79 v 815 3075 a(W)n(agner)p 1096 3099 V 180 w Fs(12)p 1410 3099 V 773 3102 639 4 v 771 3181 4 79 v 815 3158 a Fq(Schmidt)p 1096 3181 V 165 w Fs(11)p 1410 3181 V 773 3185 639 4 v 771 3263 4 79 v 815 3240 a Fq(M)878 3243 y(\177)877 3240 y(uller)p 1096 3263 V 218 w Fs(10)p 1410 3263 V 773 3267 639 4 v 354 3381 a FB(Hier)c(sind)f(die)h(Pr)875 3384 y(\177)876 3381 y(aferenzen)g(der)g(einzelnen)f(V)n(er-)354 3481 y(einsmitglieder)26 b(zum)i(Nachrechnen:)p 457 3558 1271 4 v 455 3636 4 79 v 499 3613 a Fq(Stimmen)p 800 3636 V 366 w(Pr)1193 3616 y(\177)1194 3613 y(aferenz)p 1726 3636 V 457 3640 1271 4 v 457 3656 V 455 3735 4 79 v 612 3712 a Fs(3)p 800 3735 V 196 w Fq(M)906 3715 y(\177)905 3712 y(uller)20 b Fp(\037)g Fq(Schmidt)h Fp(\037)e Fq(W)n(agner)p 1726 3735 V 457 3738 1271 4 v 455 3817 4 79 v 612 3794 a Fs(2)p 800 3817 V 196 w Fq(M)906 3797 y(\177)905 3794 y(uller)h Fp(\037)g Fq(W)n(agner)g Fp(\037)f Fq(Schmidt)p 1726 3817 V 457 3821 1271 4 v 455 3900 4 79 v 612 3876 a Fs(2)p 800 3900 V 196 w Fq(Schmidt)j Fp(\037)d Fq(W)n(agner)i Fp(\037)e Fq(M)1562 3879 y(\177)1561 3876 y(uller)p 1726 3900 V 457 3903 1271 4 v 455 3982 4 79 v 612 3958 a Fs(4)p 800 3982 V 196 w Fq(W)n(agner)i Fp(\037)e Fq(Schmidt)j Fp(\037)d Fq(M)1562 3961 y(\177)1561 3958 y(uller)p 1726 3982 V 457 3985 1271 4 v 361 4098 a FB(\177)354 4116 y(Ahnliches)40 b(passiert)f(laufend)h(b)r(ei)g(der)h(Erstel-)354 4216 y(lung)h(von)h(Berufungslisten.)f(Auch)h(dazu)g(ein)354 4316 y(Beispiel.)19 b(Es)f(gibt)g(4)g(Kandidaten)f(f)1413 4319 y(\177)1412 4316 y(ur)j(eine)e(Drei-)354 4415 y(erliste.)28 b(Die)f(Abstimmung)g(ergibt)p 392 4492 1401 4 v 390 4571 4 79 v 434 4547 a Fq(App)r(el)d Fs(9)p 702 4571 V 84 w Fq(Bauer)g Fs(8)p 1017 4571 V 83 w Fq(Clemens)h Fs(7)p 1403 4571 V 1420 4571 V 100 w Fq(\(Dehm\))g Fs(6)p 1791 4571 V 392 4574 1401 4 v 354 4700 a FB(Der)i(4.)f(Kandidat)f(hat)i (abgesagt,)e(und)h(es)g(wird)354 4800 y(neu)i(abgestimmt:)p 462 4876 1262 4 v 460 4955 4 79 v 503 4932 a Fq(Clemens)84 b Fs(11)p 941 4955 V 84 w Fq(Bauer)g Fs(10)p 1350 4955 V 83 w Fq(App)r(el)h Fs(9)p 1722 4955 V 462 4959 1262 4 v 1949 531 a FB(Alternativ:)35 b(die)f(V)n(erhandlungen)f(mit)h(dem)h (1.)1949 631 y(Kandidaten)i(sind)h(nicht)g(erfolgreich,)f(und)h(es)1949 731 y(wird)27 b(neu)h(abgestimmt:)p 2054 812 1267 4 v 2052 891 4 79 v 2095 867 a Fq(Dehm)84 b Fs(12)p 2464 891 V 84 w Fq(Clemens)g Fs(10)p 2944 891 V 84 w Fq(Bauer)f Fs(8)p 3319 891 V 2054 894 1267 4 v 1949 1026 a FB(Hier)34 b(sind)g(wieder)h(die)f(Pr)2770 1029 y(\177)2771 1026 y(aferenzen)h(der)g(Mit-)1949 1126 y(glieder)27 b(der)h(Berufungsk)n (ommission)d(\(Pro\014l\):)p 2040 1212 1295 4 v 2038 1291 4 79 v 2081 1267 a Fq(St.)p 2205 1291 V 466 w(Pr)2699 1270 y(\177)2700 1267 y(aferenz)p 3333 1291 V 2040 1294 1295 4 v 2040 1311 V 2038 1390 4 79 v 2106 1366 a Fs(3)p 2205 1390 V 108 w Fq(App)r(el)20 b Fp(\037)g Fq(Clemens)h Fp(\037)e Fq(Dehm)h Fp(\037)g Fq(Bauer)p 3333 1390 V 2040 1393 1295 4 v 2038 1472 4 79 v 2106 1448 a Fs(6)p 2205 1472 V 108 w Fq(App)r(el)g Fp(\037)g Fq(Dehm)g Fp(\037)g Fq(Clemens)g Fp(\037)g Fq(Bauer)p 3333 1472 V 2040 1475 1295 4 v 2038 1554 4 79 v 2106 1530 a Fs(3)p 2205 1554 V 108 w Fq(Bauer)g Fp(\037)g Fq(Clemens)g Fp(\037)g Fq(Dehm)g Fp(\037)g Fq(App)r(el)p 3333 1554 V 2040 1557 1295 4 v 2038 1636 4 79 v 2106 1612 a Fs(5)p 2205 1636 V 108 w Fq(Bauer)g Fp(\037)g Fq(Dehm)g Fp(\037)f Fq(Clemens)i Fp(\037)f Fq(App)r(el)p 3333 1636 V 2040 1639 1295 4 v 2038 1718 4 79 v 2106 1695 a Fs(2)p 2205 1718 V 108 w Fq(Clemens)g Fp(\037)g Fq(Bauer)g Fp(\037)g Fq(Dehm)g Fp(\037)g Fq(App)r(el)p 3333 1718 V 2040 1722 1295 4 v 2038 1801 4 79 v 2106 1777 a Fs(5)p 2205 1801 V 108 w Fq(Clemens)g Fp(\037)g Fq(Dehm)g Fp(\037)g Fq(Bauer)g Fp(\037)g Fq(App)r(el)p 3333 1801 V 2040 1804 1295 4 v 2038 1883 4 79 v 2106 1859 a Fs(2)p 2205 1883 V 108 w Fq(Dehm)g Fp(\037)f Fq(Bauer)i Fp(\037)e Fq(Clemens)i Fp(\037)f Fq(App)r(el)p 3333 1883 V 2040 1886 1295 4 v 2038 1965 4 79 v 2106 1941 a Fs(4)p 2205 1965 V 108 w Fq(Dehm)g Fp(\037)f Fq(Clemens)i Fp(\037)f Fq(Bauer)g Fp(\037)g Fq(App)r(el)p 3333 1965 V 2040 1968 1295 4 v 1949 2088 a FB(Wie)f(w)2159 2091 y(\177)2160 2088 y(are)g(die)f(W)n (ahl)h(ausgegangen,)d(w)n(enn)i(man)1949 2188 y(das)41 b(Pro\014l)g(gewichtet)f(h)2749 2191 y(\177)2750 2188 y(atte)h(mit)h(der)g(Stim-)1949 2287 y(menzahlt)27 b(3)g(-)g(2)h(-)f(1) g(-)h(0?)p 1952 2360 1471 4 v 1950 2439 4 79 v 1993 2415 a Fq(Dehm)d Fs(58)p 2302 2439 V 83 w Fq(Clemens)g Fs(48)p 2723 2439 V 84 w Fq(Bauer)f Fs(41)p 3073 2439 V 84 w Fq(App)r(el)g Fs(33)p 3421 2439 V 1952 2442 1471 4 v 1949 2574 a FB(W)n(erden)71 b(W)n(ahlen)g(gerechter,)h(w)n(enn)e(man) 1949 2673 y(dem)44 b(W)2216 2676 y(\177)2217 2673 y(ahler)h(gestattet,) f(seine)g(Pr)3098 2676 y(\177)3099 2673 y(aferenzen)1949 2773 y(vollst)2130 2776 y(\177)2131 2773 y(andig)i(anzugeb)r(en?)h(W)n (elches)h(Gewicht)1949 2872 y(sollten)18 b(die)i(Stimmen)f(f)2664 2875 y(\177)2663 2872 y(ur)i(die)e(einzelnen)g(Pl)3281 2875 y(\177)3282 2872 y(atze)1949 2972 y(hab)r(en?)1949 3143 y(Ein)h(m)2148 3146 y(\177)2148 3143 y(ogliches)g(mathemisches)g (Mo)r(dell)g(hierf)3355 3146 y(\177)3354 3143 y(ur)1949 3243 y(ist)27 b(das)g(folgende:)1949 3342 y(1.)21 b(Es)f(sollen)h Fy(N)30 b FB(Kandidaten)20 b(in)h(eine)f(transitive)1949 3442 y Fg(Gesellschafts-Reihung)34 b Fy(R)k Fx(=)f(\()p Fy(K)3039 3454 y Fw(1)3113 3442 y Fn(\037)g Fy(K)3286 3454 y Fw(2)3361 3442 y Fn(\037)1949 3542 y Fy(:)14 b(:)g(:)25 b Fn(\037)f Fy(K)2231 3554 y Fv(n)2276 3542 y Fx(\))29 b FB(geb)n(racht)f(w)n(erden.)g(\(Gleichst)3262 3545 y(\177)3263 3542 y(ande)1949 3641 y(sind)f(zul)2212 3644 y(\177)2213 3641 y(assig.\))g(Das)g(ist)g(der)h Fg(W)n(ahlausgang)p FB(.)1949 3741 y(2.)20 b(Die)h(Menge)e(aller)i(m)2655 3744 y(\177)2655 3741 y(oglichen)e(Gesellschafts-)1949 3841 y(Reihungen)33 b(sei)i Fn(R)p FB(.)h(Es)e(soll)h(also)f(ein)h Fy(R)h Fn(2)g(R)1949 3940 y FB(gefunden)27 b(w)n(erden.)1949 4040 y(3.)e(Jeder)h(W)2326 4043 y(\177)2327 4040 y(ahler)g(soll)e(b)r (ei)i(der)g(W)n(ahl)f(eine)g(Rei-)1949 4139 y(hung)f(der)i(Kandidaten)e (\(totale)h(Ordnung\))g(ab-)1949 4239 y(geb)r(en.)1949 4339 y(4.)37 b(Ein)g Fg(Pro\014l)f FB(ist)h(eine)g(Liste)g(der)h (Reihungen)1949 4438 y(der)30 b(Kandidaten)f(durch)g(alle)h(W)2960 4441 y(\177)2961 4438 y(ahler.)g(Das)g(ist)1949 4538 y(das)d Fg(W)n(ahlergebnis)p FB(.)1949 4638 y(5.)h(Die)g(Menge)f(aller) h(Pro\014le)g(\(aller)g(m)3143 4641 y(\177)3143 4638 y(oglichen)1949 4737 y(W)n(ahlergebnisse\))41 b(sei)h Fn(P)7 b FB(.)43 b(Durch)f(eine)g(W)n(ahl)1949 4837 y(wird)27 b(ein)h Fy(P)35 b Fn(2)23 b(P)34 b FB(festgelegt.)1949 4937 y(6.)46 b(Ein)f Fg(W)n(ahlverfahren)i FB(ist)f(eine)g(Abbildung)p eop end %%Page: 8 8 TeXDict begin 8 7 bop 354 531 a Fy(w)41 b Fx(:)d Fn(P)44 b(!)38 b(R)p FB(,)f(die)f(die)g(folgende)f(Bedingung)354 631 y(erf)445 634 y(\177)444 631 y(ullt:)354 731 y(w)n(enn)j(in)h (einem)f(Pro\014l)g Fy(P)51 b FB(alle)38 b(W)1475 734 y(\177)1476 731 y(ahler)h(zw)n(ei)354 830 y(Kandidaten)e Fy(A)i FB(und)e Fy(B)43 b FB(in)38 b(dieselb)r(e)f(Reihen-)354 930 y(folge)g(gestellt)g(hab)r(en)g(\(z.B.)i Fy(A)h Fn(\037)g Fy(B)t FB(\),)e(dann)354 1029 y(stehen)33 b(die)h(b)r(eiden)f (Kandidaten)f(auch)h(in)h(der)354 1129 y(Gesellschafts-Reihung)49 b Fy(w)r Fx(\()p Fy(P)12 b Fx(\))52 b FB(in)f(derselb)r(en)354 1229 y(Reihenfolge.)354 1400 y(Um)26 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Fq(pa)n(reigis@lmu.de)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF