{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 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 } {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 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 27 "eq[1] := a + b + c + d = 1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"\"/,*%\"aGF'%\"bGF'%\"cGF'%\"dGF'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "eq[2] := (1/3)*b + (2/3)* c + d = 1/2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"#/,(*&\" \"$!\"\"%\"bG\"\"\"F.*(F'F.F+F,%\"cGF.F.%\"dGF.#F.F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "eq[3] := (1/3)^2*b + (2/3)^2*c + d = 1/3; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"$/,(*&\"\"*!\"\"%\"bG \"\"\"F.*(\"\"%F.F+F,%\"cGF.F.%\"dGF.#F.F'" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 41 "eq[4] := (1/3)^3*b + (2/3)^3*c + d = 1/4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"%/,(*&\"#F!\"\"%\"bG\"\"\"F.*( \"\")F.F+F,%\"cGF.F.%\"dGF.#F.F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "solve(\{seq(eq[k],k=1..4)\},\{a,b,c,d\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<&/%\"cG#\"\"$\"\")/%\"bGF&/%\"aG#\"\"\"F(/% \"dGF-" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "Example 4" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "eq[1] := s[1]+s[2] = 1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"\"/,&&%\"sGF&F'&F+6#\"\"#F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "eq[2] := s[1]*t[1]+s[2]*t [2] = evalf(1/2); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"#/, &*&&%\"sG6#\"\"\"F.&%\"tGF-F.F.*&&F,F&F.&F0F&F.F.$\"+++++]!#5" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "eq[3] := s[1]*t[1]^2+s[2]*t[ 2]^2 = evalf(1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6#\"\"$/, &*&&%\"sG6#\"\"\"F.)&%\"tGF-\"\"#F.F.*&&F,6#F2F.)&F1F5F2F.F.$\"+LLLLL! #5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "eq[4] := s[1]*t[1]^3+ s[2]*t[2]^3 = evalf(1/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#eqG6# \"\"%/,&*&&%\"sG6#\"\"\"F.)&%\"tGF-\"\"$F.F.*&&F,6#\"\"#F.)&F1F5F2F.F. $\"+++++D!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "solve( \{se q(eq[k],k=1..4)\},\{s[1],s[2],t[1],t[2]\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6$<&/&%\"tG6#\"\"\"$\"+[8v')y!#5/&%\"sGF'$\"+&*******\\F+ /&F.6#\"\"#$\"+0+++]F+/&F&F3$\"+e'[K6#F+<&/F-F5/F2F//F8F)/F%F9" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "12 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }