{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" } {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 3 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Error" 7 8 1 {CSTYLE "" -1 -1 "" 0 1 255 0 255 1 0 0 0 0 0 0 0 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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "a:= x*sin(exp(3*x)/x ^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG*&%\"xG\"\"\"-%$sinG6#*& -%$expG6#,$F&\"\"$\"\"\"*$)F&\"\"#F1!\"\"F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "x:=7;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG\"\" (" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$-%$sinG6#,$-%$expG6#\"#@#\"\"\"\"#\\\"\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "x:=1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "a;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#-%$sinG6#-%$expG6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(sin(x),x);" }}{PARA 8 "" 1 "" {TEXT -1 60 "Error, wrong number (or type) of parameters in function d iff" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "x:='x';" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"xGF$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(sin(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$cosG6#% \"xG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "afunc := unapply(a, x);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&afuncGR6#%\"xG6\"6$%)operatorG%&arrowGF(*&9$\"\"\"-% $sinG6#*&-%$expG6#,$F-\"\"$\"\"\"*$)F-\"\"#F8!\"\"F.F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "afunc(1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$sinG6#-%$expG6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "eval(a,x=1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$si nG6#-%$expG6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "subs( x=1,a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$sinG6#-%$expG6#\"\"$" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "subs(x=cos(y^3),a);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#*&-%$cosG6#*$)%\"yG\"\"$\"\"\"\"\"\"-% $sinG6#*&-%$expG6#,$F$F*F+*$)F$\"\"#F+!\"\"F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 " We talked some math for a while...." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 19 "derfine \+ some points" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "pts:= [ [0,1 ], [1,3], [1.5, 7], [4,6], [5, 2]];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%$ptsG7'7$\"\"!\"\"\"7$F(\"\"$7$$\"#:!\"\"\"\"(7$\"\"%\"\"'7$\"\"&\" \"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "dist from a point to a lin e (m,b) to a point [pt[1], pt[2]]" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "q := (m, b, pt) -> ( ( m*pt[1] + b) - pt[2] )^2;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qGR6%%\"mG%\"bG%#ptG6\"6$%)operato rG%&arrowGF**$),(*&9$\"\"\"&9&6#F3F3F39%F3&F56#\"\"#!\"\"F:\"\"\"F*F*F *" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "q( 2,3, [0,0]);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "q( 2,3, [1,5]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\" \"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "q( m, l , [5,-2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$),(%\"mG\"\"&%\"lG\"\"\"\"\"#F)F* \"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "distQ := (m, b, d ata) -> sum( q(m, b, data[i]), i=1..5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&distQGR6%%\"mG%\"bG%%dataG6\"6$%)operatorG%&arrowGF*-%$sumG6$ -%\"qG6%9$9%&9&6#%\"iG/F9;\"\"\"\"\"&F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "distQ( 3, .5, pts);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"++++!H#!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "dis tQ( -3, .5, pts);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+++++t!\"(" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "diff(distQ(m,b,pts),m);\ndi ff(distQ(m,b,pts),b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(%\"mG$\"%]) )!\"#%\"bG$\"$I#!\"\"$!$]*F+\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# ,(!#Q\"\"\"%\"bG\"#5%\"mG$\"$I#!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 76 "solve( \{diff(distQ(m,b,pts),m)=0,\n diff(dist Q(m,b,pts),b)=0\}, \{m,b\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\" mG$\"+h9$[8#!#5/%\"bG$\"+k())*3L!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "26 0 0" 0 }{VIEWOPTS 1 1 0 2 1 1805 }