{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "Text" -1 200 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 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 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "01." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 14 "c:=1:d:=x^3+x:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "02." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "res:=re sultant(c-z*diff(d,x),d,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$resG *&,&\"\"\"F'%\"zG!\"\"F'),&*&\"\"#F'F(F'F'F'F'F-F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "03." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "sol:=convert(\{solve(res=0,\{z\})\},list);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$solG7$<#/%\"zG\"\"\"<#/F(#!\"\"\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 7 "04./05." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "zlist:=convert(\{solve(res=0,z)\},list);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&zlistG7$\"\"\"#!\"\"\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 11 "06./07./08." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "vlist:=convert(map(y->gcd(subs(y,c-z*diff(d,x)),d),so l),list);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&vlistG7$%\"xG,&*$)F&\" \"#\"\"\"F+F+F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "09." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "ListTools[DotProduct](zlist, map(y->log(y),vlist));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%#lnG6#% \"xG\"\"\"*&#F(\"\"#F(-F%6#,&*$)F'F+F(F(F(F(F(!\"\"" }}}{EXCHG {PARA 0 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