\mnb150ÿ{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\froman\fcharset1 Times New Roman;}{\f4\fmodern\fprq1 Courier New;}} {\colortbl\red0\green0\blue0;\red0\green0\blue255;\red255\green0\blue0;} \deflang1031\pard\ri4\plain\f3\fs22\cf0 01.Achtung: Pfad anpassen! \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}read("C:\\\\...\\\\FPS.mu") \par \pard\li50\ri6\plain\f4\fs22\cf1\protect Package 'Formal Power Series 1.0' \par \pard\li50\ri2\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw352\pich825\picscalex99\picscaley99\picwgoal200\pichgoal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}\plain\f4\fs22\cf1\protect \par Torsten Sprenger, University of Kassel , 2006 {\pict\wmetafile8\picw352\pich825\picscalex99\picscaley99\picwgoal200\pichgoal468 0100090000032101000005001C0000000000050000000B0200000000050000000C023903600103 0000001E00050000000C023B036101050000000B0200000000030000001E00030000001E000500 00000C02D501C800050000000B0200000000050000000B020000000014000000FF0600000600F6 02000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100000400 0000F001000008000000FA0200000000000000000000040000002D01000007000000FC02000000 0000000000040000002D0101001C000000FB0210FF000000000000900100000001070000004172 69616C00F477400000000E060A5B7DA8F47786A8F4770100000000003000040000002D01020005 000000020101000000050000000102FFFFFF00050000002E011800000005000000090200000000 04000000080100001C000000FB0210FF0000000000009001000000010700000054696D6573204E 657720526F6D616E007DA8F47786A8F4770100000000003000040000002D0103000B0000002606 0F000C004D6174685479706500007B0008000000FA0200000000000000000000040000002D0104 0004000000F001000007000000FC020000FFFFFF000000040000002D01000004000000F0010100 1C000000FB021000070000000000BC02000000000102022253797374656D0077400000003A060A 2B7DA8F47786A8F4770100000000003000040000002D010100040000002701FFFF04000000F001 020004000000F0010300040000002701FFFF040000002701FFFF030000000000 }\plain\f4\fs22\cf1\protect \par {\pict\wmetafile8\picw352\pich825\picscalex99\picscaley99\picwgoal200\pichgoal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}\plain\f4\fs22\cf1\protect \par \par \pard\ri4\plain\f3\fs22\cf0 02. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}HolonomicRE(k!,A(k)) \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw5242\pich825\picscalex99\picscaley99\picwgoal2972\pichgoal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}\plain\f4\fs22\cf1\protect \par \pard\li50\ri2\plain\f4\fs22\cf1\protect \par \pard\ri4\plain\f3\fs22\cf0 03. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}RE1:=HolonomicRE(binomial(n,k),A(k)) \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw6709\pich825\picscalex99\picscaley99\picwgoal3804\pichgoal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}\plain\f4\fs22\cf1\protect \par \pard\li50\ri2\plain\f4\fs22\cf1\protect \par \pard\ri4\plain\f3\fs22\cf0 04. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}RE2:=HolonomicRE(binomial(k,n),A(k)) \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw7366\pich825\picscaley99\picwgoal4176\pichgoal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