{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 276 "PrimitiverTeil:=pro c(a,x)\nlocal liste,nenner,kgV,ggT,k;\nliste:=[seq(coeff(a,x,k),k=0..d egree(a,x))];\nnenner:=map(denom,liste);\nkgV:=ilcm(op(nenner));\nlist e:=map(x->x*kgV,liste);\nggT:=igcd(op(liste));\nliste:=map(x->x/ggT,li ste);\nsum(liste[k]*x^(k-1),k=1..nops(liste))\nend proc:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "05." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "rnd1:=rand(0..9):\nrnd2:=rand(1..9):\na:=eval(sum('rnd1()'/'r nd2()'*x^k,k=0..10));\nb:=eval(sum('rnd1()'/'rnd2()'*x^k,k=0..10));" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "06." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "c:=expand(PrimitiverTeil(a,x)*PrimitiverTeil(b,x));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "07." }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 18 "igcd(coeffs(c,x));" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }