{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 2 6 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 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 }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 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "read `c:\\\\user\\\\ lsq_data.txt`;" }}{PARA 6 "" 1 "" {TEXT -1 66 "defined line_pts(), qua dratic_pts(), cubic_pts(), and circle_pts()" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "cpts:=circle_pts():" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "plot(cpts,style=point,scaling=constrained,axes=boxed) ;" }}{PARA 13 "" 1 "" {INLPLOT "6&-%'CURVESG6$777$$\"1+++$*>I%>$!#:$!1 +++))R8')\\F*7$$\"1+++?_qcRF*$!1+++*GT><%F*7$$\"1*****>Lg&*=)F*$!1+++W 3K7;!#97$$\"1+++\"p$4Z:F7$!1+++Qo&f+\"F77$$\"1+++J,J68F7$!1+++aV0m9F77 $$\"1+++PC9e)*F*$!1+++VuwDCF*7$$\"1+++wp(z>#F*$!1+++\\^hT6F77$$\"1+++@ YG`jF*$!1+++)pd[c\"F77$$\"1+++i:F77$$\"1+++K)oUQ\"F7$!1+++E+BiSF*7$$\" 1+++apM+9F7$!1+++@dM49F77$$\"1++++j@4'*F*$!1+++#4LUV#F*7$$\"1+++;t'\\s \"F*$!1,++X(yYP*F*7$$\"1+++')4os&)F*$!1+++dYi%R#F*7$$\"1+++-Jb%o#F*$!1 +++SoTwdF*7$$\"1+++,@'39\"F7$!1+++%QsKb\"F77$$\"1+++(>H%3RF*$!1+++N;zi VF*-%'COLOURG6&%$RGBG$\"#5!\"\"\"\"!Fcr-%*AXESSTYLEG6#%$BOXG-%&STYLEG6 #%&POINTG-%(SCALINGG6#%,CONSTRAINEDG" 2 383 145 145 5 0 1 0 2 9 0 2 1 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 0 0 0 0 0 1 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "epsil on:=(pt,a,b,r) -> \n(pt[1]-a)^2 + (pt[2]-b)^2 -r^2;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%(epsilonG:6&%#ptG%\"aG%\"bG%\"rG6\"6$%)operatorG%&a rrowGF+,(*$,&&9$6#\"\"\"F59%!\"\"\"\"#F5*$,&&F36#F8F59&F7F8F5*$9'F8F7F +F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "H:= (a,b,r) ->\n su m( epsilon(cpts[i],a,b,r)^2,\n i=1..nops(cpts));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG:6%%\"aG%\"bG%\"rG6\"6$%)operatorG%&arrowGF* -%$sumG6$*$-%(epsilonG6&&%%cptsG6#%\"iG9$9%9&\"\"#/F8;\"\"\"-%%nopsG6# F6F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "simplify(diff(H(a ,b,r),a));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,6%\"aG$\"+=nOEH!\"&%\"b G$!+@vP!G\"F'*$F(\"\"#$!+O1X[l!\"(*$F$F,$!+\">NX'>!\"'*&F(F,F$\"\"\"$ \"#%)\"\"!*$%\"rGF,$\"+O1X[lF/*&F:F,F$F5$!#%)F8*$F$\"\"$F6*&F(F5F$F5$ \"+BQK7:F3$!+-@55;!\"%F5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "simplify(diff(H(a,b,r),b));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,6%\"a G$!+@vP!G\"!\"&%\"bG$\"+G\"\\^U$F'*$F(\"\"#$\"+Md[oA!\"'*$F$F,$\"+9\"> ;c(!\"(*$%\"rGF,$!+9\">;c(F3*&F5F,F(\"\"\"$!#%)\"\"!*&F$F,F(F9$\"#%)F< *$F(\"\"$F>*&F(F9F$F9$!+F,p48F/$\"+XuJc>!\"%F9" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 27 "simplify(diff(H(a,b,r),r));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,.*&%\"aG\"\"#% \"rG\"\"\"$!#%)\"\"!*&%\"bGF&F'F(F)F'$!+h*yye\"!\"&*&F'F(F-F($!+BQK7:! \"'*$F'\"\"$$\"#%)F+*&F'F(F%F($\"+F,p48F4" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 97 "solve(\{diff(H(a,b,r),a)=0,\n diff(H(a,b,r),b )=0,\n diff(H(a,b,r),r)=0\},\n \{a,b,r\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6)<%/%\"aG,&$\"+\\pA$=)!\"*\"\"\"%\"IG$!+0h$o7)F)/% \"bG,&$!+GxU>5!\")F*F+$!+>AsNQF)/%\"rG\"\"!<%/F%,&F'F*F+$\"+0h$o7)F)/F /,&F1F*F+$\"+>AsNQF)F6<%/F/,&$!+$*H%R@*F)F*F+$!+0iq0%*F)/F%,&$\"+Z.`$) pF)F*F+$\"+Aq%pp%F)F6<%/F%,&FKF*F+$!+Aq%pp%F)/F/,&FEF*F+$\"+0iq0%*F)F6 <%/F%$\"+Qv_Q#)F)/F/$!+R`Kt\"*F)F6<%/F/$!+B6F+#*F)/F7$!+2$yd%pF)/F%$\" +fxw&y)F)<%/F7$\"+2$yd%pF)FjnF`o" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "9 0 0" 0 }{VIEWOPTS 1 1 0 2 1 1805 }