\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. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}pochhammer(1/2,k) \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw3836\pich1129\picwgoal2174\pichgoal640 010009000003B202000009001C0000000000050000000B0200000000050000000C026904FC0E03 0000001E00030000001E00050000000C0280027F08050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 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}\plain\f4\fs22\cf1\protect \par Torsten Sprenger, University of Kassel , 2006 {\pict\wmetafile8\picw353\pich827\picwgoal200\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 09. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}Simplify(expand(lhs(subs(RE1,A(k+j)=binomial(n,k+j) $ j=0..2)))) \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw564\pich827\picwgoal319\pichgoal468 0100090000031701000005001C0000000000050000000B0200000000050000000C023B03340203 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0000003000040000002D010100040000002701FFFF04000000F001020004000000F00103000400 00002701FFFF030000000000 }\plain\f4\fs22\cf1\protect \par \pard\li50\ri2\plain\f4\fs22\cf1\protect \par \pard\ri4\plain\f3\fs22\cf0 10. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}simplify(eval(subs([binomial(n,k),binomial(n-1,k)+binomial(n-1,k-1)],k=0))); \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw1326\pich827\picwgoal751\pichgoal468 0100090000030B02000008001C0000000000050000000B0200000000050000000C023B032E0503 0000001E00030000001E00050000000C02D501F002050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 00417269616C00F4774000000045050A417DA8F47786A8F4770100000000003000040000002D01 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\pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf2 {\pntext\f1\'b7\tab}eval(subs([binomial(n,k),binomial(n-1,k)+binomial(n-1,k-1)],[k=1,n=1])); \par \pard\li50\ri6\plain\f4\fs22\cf1\protect {\pict\wmetafile8\picw1326\pich827\picwgoal751\pichgoal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