Re: Labelling each curve and changing grid in ParametricPlot

*To*: mathgroup at smc.vnet.net*Subject*: [mg129650] Re: Labelling each curve and changing grid in ParametricPlot*From*: "djmpark" <djmpark at comcast.net>*Date*: Sun, 3 Feb 2013 02:44:02 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <10882329.10368.1359786161991.JavaMail.root@m06>

Ed, This is a little difficult because the curves are so closely spaced. One has to make the plot rather large to identify the labels with the curves. In the following example I put the labels all at the end of the curves and labeled only every other one. I also put Tooltips on the curves in case it is being viewed in a notebook. I don't understand what you mean by having the Grid based on Omega. I just drew a grid but make it very light and avoided the Dashed style (a al Tufte). << Presentations` plot[\[Tau]_, \[CapitalOmega]_] := Module[{arg, abs}, {arg, abs} = Factor[Together[ ComplexExpand[ Through[{Arg, Abs}[(1 + I*2*\[CapitalOmega])/(1 + I*2*\[Tau]*\[CapitalOmega])]]]]]; {arg/Degree, 20*Log10[abs]}] Draw2D[ {ParametricDraw[ Tooltip[plot[#, \[CapitalOmega]], #], {\[CapitalOmega], -0.5, 0.01}] & /@ {7, 8, 9, 10, 11, 12, 13, 14, 15}, Text[Framed[Style[phrase["\[Tau] = ", #], 12], FrameMargins -> 0], plot[#, -0.5], {1, 0}, Background -> White] & /@ {8, 10, 12, 14}}, AspectRatio -> 1, Frame -> True, FrameLabel -> {"phase/\[Degree]", "db"}, RotateLabel -> False, GridLines -> {CustomGridLines[# &, {-10, 60, 10}, {LightGray}], CustomGridLines[# &, {-20, 0, 5}, {LightGray}]}, BaseStyle -> {FontSize -> 12}, ImageSize -> 600] David Park djmpark at comcast.net http://home.comcast.net/~djmpark/index.html From: Eduardo M. A. M. Mendes [mailto:emammendes at gmail.com] Hello I wonder whether someone out there could help me with the following problem. plot[\[Tau]_, \[CapitalOmega]_] := Module[{arg, abs}, {arg, abs} = Factor[Together[ComplexExpand[ Through[{Arg, Abs}[(1 + I*2*\[CapitalOmega])/(1 + I*2*\[Tau]*\[CapitalOmega])]]]]]; {arg/Degree, 20*Log10[abs]}] ParametricPlot[Table[plot[\[Tau], \[CapitalOmega]], {\[Tau], {7, 8, 9, 10, 11, 12, 13, 14, 15}}], {\[CapitalOmega], -0.5, -0.01}, AspectRatio -> 1, GridLines -> Automatic, GridLinesStyle -> Dashed, ImageSize -> Large] I need to label each curve with the value of tau and, instead of the normal grid, a grid based on the values of Omega. I saw something related to the label problem on the net but could not figure out how to change it to my case. Something with Epilog. Many thanks Ed