Re: Labelling each curve and changing grid in ParametricPlot

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• Subject: [mg129657] Re: Labelling each curve and changing grid in ParametricPlot
• From: "Eduardo M. A. M. Mendes" <emammendes at gmail.com>
• Date: Sun, 3 Feb 2013 02:46:23 -0500 (EST)
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```Hi David

Many thanks.

Grid - Instead of the normal grid (horizontal and vertical lines) I wonder whether there is a way to draw lines (just like grid) for specific values of Omega.

Ed

On Feb 2, 2013, at 1:16 PM, "djmpark" <djmpark at comcast.net> wrote:

> 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
>
>
>

```

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