Date: Feb 3, 2013 2:51 AM
Author: David Park
Subject: Re: Labelling each curve and changing grid in ParametricPlot
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@comcast.net

http://home.comcast.net/~djmpark/index.html

From: Eduardo M. A. M. Mendes [mailto:emammendes@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