{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{CSTYLE "Help Head ing" -1 26 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{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 "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet It em" -1 15 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 3 3 1 0 1 0 2 2 15 2 }} {SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "Function:" }{TEXT -1 31 " \+ Logplot - logarithmic plotting" }}{PARA 0 "" 0 "" {TEXT 26 17 "Calling sequence:" }}{PARA 0 "" 0 "" {MPLTEXT 0 21 71 "Logplot(e,x=a..b,[lx, \+ ly], options);\nLogplot(f,a..b,[lx, ly], options);" }{TEXT -1 0 "" } {MPLTEXT 0 21 0 "" }}{PARA 0 "" 0 "" {TEXT 26 11 "Parameters:" }} {PARA 0 "" 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 2 "e " }{TEXT -1 62 "- \+ an expression or set or list of expressions in the variable " } {MPLTEXT 0 21 1 "x" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 1 "x" }{TEXT -1 9 " - a name" }}{PARA 0 "" 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 6 "a .. b" }{TEXT -1 34 " - a range for the h orizontal axis" }}{PARA 0 "" 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 2 "f \+ " }{TEXT -1 40 "- a function or set or list of functions" }}{PARA 0 " " 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 2 "lx" }{TEXT -1 2 ", " } {MPLTEXT 0 21 2 "ly" }{TEXT -1 3 " - " }{XPPEDIT 18 0 "true" "6#%%true G" }{TEXT -1 4 " or " }{XPPEDIT 18 0 "false" "6#%&falseG" }{TEXT -1 46 ", determining whether each axis is logarithmic" }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{MPLTEXT 0 21 7 "options" }{TEXT -1 50 " - most of the usual two-dimensional plot options." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 12 "Description:" }}{PARA 15 "" 0 "" {TEXT -1 170 "This proce dure produces a two-dimensional plot of a function, expression or set \+ or list of these, using logarithmic scales on one or both axes. It is \+ thus similar to the " }{MPLTEXT 0 21 7 "logplot" }{TEXT -1 2 ", " } {MPLTEXT 0 21 10 "loglogplot" }{TEXT -1 5 " and " }{MPLTEXT 0 21 11 "s emilogplot" }{TEXT -1 19 " procedures in the " }{MPLTEXT 0 21 5 "plots " }{TEXT -1 58 " package, but corrects two weaknesses in those procedu res." }}{PARA 15 "" 0 "" {MPLTEXT 0 21 7 "logplot" }{TEXT -1 5 " and \+ " }{MPLTEXT 0 21 10 "loglogplot" }{TEXT -1 54 " use points that would \+ be fairly equally spaced on an " }{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT -1 50 " axis with a normal scale, but on the logarithmic " }{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT -1 251 " axis (especially if this spans seve ral orders of magnitude) they are very unequally spaced, with wide sep arations near the left end of the axis. This can cause the left side \+ of the plot to look like a segmented line rather than a smooth curve. \+ The " }{MPLTEXT 0 21 7 "Logplot" }{TEXT -1 69 " procedure uses points that are well-spaced on the logarithmic axis. " }}{PARA 15 "" 0 "" {TEXT -1 1 " " }{MPLTEXT 0 21 7 "logplot" }{TEXT -1 2 ", " }{MPLTEXT 0 21 10 "loglogplot" }{TEXT -1 5 " and " }{MPLTEXT 0 21 11 "semilogplo t" }{TEXT -1 66 " don't allow tickmarks specified as a list on a logar ithmic axis, " }{MPLTEXT 0 21 7 "Logplot" }{TEXT -1 6 " does." }} {PARA 15 "" 0 "" {TEXT -1 3 "If " }{MPLTEXT 0 21 2 "lx" }{TEXT -1 14 " is true, the " }{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT -1 25 " axis is lo garithmic; if " }{MPLTEXT 0 21 2 "ly" }{TEXT -1 14 " is true, the " } {XPPEDIT 18 0 "y" "6#%\"yG" }{TEXT -1 28 " axis is logarithmic. Thus \+ " }{XPPEDIT 18 0 "[false, true]" "6#7$%&falseG%%trueG" }{TEXT -1 15 " \+ is similar to " }{MPLTEXT 0 21 7 "logplot" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "[true, false]" "6#7$%%trueG%&falseG" }{TEXT -1 4 " to " } {MPLTEXT 0 21 11 "semilogplot" }{TEXT -1 5 " and " }{XPPEDIT 18 0 "[tr ue,true]" "6#7$%%trueGF$" }{TEXT -1 4 " to " }{MPLTEXT 0 21 10 "loglog plot" }{TEXT -1 18 ". The default is " }{XPPEDIT 18 0 "[false, true] " "6#7$%&falseG%%trueG" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 99 "The usual two-dimensional plot options apply. For information on \+ these options, see the help page " }{HYPERLNK 17 "?plot,options" 2 "pl ot,options" "" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 29 "This fu nction is part of the " }{TEXT 256 22 "Maple Advisor Database" }{TEXT -1 9 " library." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "Examples:" } {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Compare the result s of " }{MPLTEXT 0 21 7 "Logplot" }{TEXT -1 14 " (in red) and " } {MPLTEXT 0 21 10 "loglogplot" }{TEXT -1 58 " (in blue), to see the lat ter procedure's spacing problem." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 114 "display([Logplot(x+1, x = 0.01 .. 100, [true,true], colour=red) ,\nloglogplot(2*(x+1),x=0.01 .. 100, colour=blue)]);" }{TEXT -1 0 "" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 137 "display([Logplot(abs(cos( ln(x))),x=1..1000, [true,true], colour=red),\nloglogplot(abs(cos(ln(2* x))),x=1..1000,colour=blue)],\nstyle=point);" }{TEXT -1 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Tickmarks specified as lists." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 112 "Logplot(x -> 10^x, 1 .. 10, [true,true], tickmarks=[[1,2,3,4,6,8,10],[seq(10^(2*j),j=1..5)]],\nla bels=[\"x\",\"y\"]);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 32 "Several curves plotted together." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "Logplot([ 2^(sin(1/x)), 2^(cos(1/x))], x = 0.05..10, \+ [true,true], colour=[red,blue],axes=frame);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "Parametric " }{MPLTEXT 0 21 7 "Logplot" } {TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "Logplot([2 +cos,2+sin,-Pi..Pi], [true,true]);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 26 "Plotting a list of points." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 77 "Logplot([seq([j,2^j/j^2],j=1..10)], [false, tr ue], colour=blue,ytickmarks=3);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 7 "Logplot" }{TEXT -1 24 " with polar coordinates. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "Logplot([1+t,t,t=0.01.. Pi/2-.01],[true,true],coords=polar);" }{TEXT -1 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "See also:" }{TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 1 " " }{HYPERLNK 17 "loglogplot" 2 "plots,loglogplot" "" } {TEXT -1 2 ", " }{HYPERLNK 17 "logplot" 2 "plots[logplot]" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "plot[options]" 2 "plot,options" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "semilogplot" 2 "semilogplot" "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 26 23 "Maple Advisor Database " }{TEXT -1 15 "R. Israel 2000 " }}}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}{MARK "1 3 7" 3 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }