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}\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0 06. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}factor(delta(fallendeFaktorielle(k,3),k)) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw2512\pich827\picwgoal1424\pichgoal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}\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0 07. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}expand(fallendeFaktorielle(k,3)+3*fallendeFaktorielle(k,2)+fallendeFaktorielle(k,1)) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw709\pich907\picwgoal401\pichgoal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}\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0 08. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}summation:=proc(f,k) \par \pard\li600\ri1\fi-300\plain\f4\fs22\cf1 local i,n,g,st,lcoe; \par begin \par g:=f; \par n:=degree(g,k); \par st:=0; \par while n>0 do \par lcoe:=lcoeff(g,k); \par n:=degree(g,k); \par st:=st+lcoe*FallendeFaktorielle(k,n+1)/(n+1); \par g:=expand(g-lcoe*fallendeFaktorielle(k,n)); \par end_while; \par st \par end_proc: \par \pard\ri4\plain\f3\fs22\cf0 09. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}summation(k^3,k) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw14342\pich1222\picwgoal8130\pichgoal692 010009000003C00600000B001C0000000000050000000B0200000000050000000C02C604063803 0000001E00030000001E00050000000C02B502C31F050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 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0004000000F001040004000000F001050004000000F001060004000000F001070004000000F001 080004000000F0010900040000002701FFFF030000000000 }\plain\f4\fs22\cf2\protect \par \pard\li50\ri2\plain\f4\fs22\cf2\protect \par \pard\ri4\plain\f3\fs22\cf0 10. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f4\fs22\cf1 {\pntext\f1\'b7\tab}s:=factor(eval(subs(summation(k^3,k),FallendeFaktorielle=fallendeFaktorielle))) \par \pard\li50\ri6\plain\f4\fs22\cf2\protect {\pict\wmetafile8\picw2427\pich1332\picwgoal1375\pichgoal755 010009000003C50300000E001C0000000000050000000B0200000000050000000C0234057B0903 0000001E00030000001E00050000000C02F3026005050000000B020000000014000000FF060000 0600F602000024000100020000800080FF7FFF7F02000080FF7F0080FF7F0200040000002D0100 0004000000F001000008000000FA0200000000000000000000040000002D01000007000000FC02 0000000000000000040000002D0101001C000000FB0210FF000000000000900100000001070000 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