Re: Labelling each curve and changing grid in ParametricPlot

• To: mathgroup at smc.vnet.net
• Subject: [mg129666] Re: Labelling each curve and changing grid in ParametricPlot
• From: "Eduardo M. A. M. Mendes" <emammendes at gmail.com>
• Date: Sun, 3 Feb 2013 20:19:16 -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: <20130202061807.DB0F768D2@smc.vnet.net> <20130203074523.6D2F868A1@smc.vnet.net>

```Many thanks

Ed

On Feb 3, 2013, at 5:45 AM, Bob Hanlon <hanlonr357 at gmail.com> wrote:

> plot[tau_, omega_] :=
> Module[{arg, abs},
>  {arg, abs} =
>   Factor[
>    Together[
>     ComplexExpand[
>      Through[{Arg, Abs}[(1 + I*2*omega)/
>         (1 + I*2*tau*omega)]]]]];
>  {arg/Degree, 20*Log10[abs]}]
>
> Show[
> ParametricPlot[
>  Evaluate[
>   Table[
>    plot[tau, omega],
>    {omega, -0.5, -0.1, 0.05}]],
>  {tau, 7, 15},
>  PlotStyle ->
>   Directive[
>    Gray,
>    AbsoluteDashing[{5, 5}]]],
> ParametricPlot[
>  Evaluate[
>   Table[
>    plot[tau, omega],
>    {tau, Range[7, 15]}]],
>  {omega, -0.5, -0.01},
>  AspectRatio -> 1],
> Frame -> True,
> Axes -> False,
> PlotRange -> All,
> AspectRatio -> 1,
> Epilog -> {
>   Table[
>    Text[tau, plot[tau, -0.5], {2, 0}],
>    {tau, 8, 14, 2}],
>   Table[
>    Text[omega, plot[7, omega], {1.25, -1}],
>    {omega, -0.45, -0.15, 0.1}]}]
>
>
> Bob Hanlon
>
>
> On Sat, Feb 2, 2013 at 11:17 AM, Eduardo M. A. M. Mendes
> <emammendes at gmail.com> wrote:
>> Dear Bob
>>
>> Many thanks.  As usual I will have to spend time to understand your =
code.  I am too much of beginner.
>>
>> As for the grid, I was thinking of removing the standard grid all =
together and draw (just the dashed grid lines) lines for specific values =
of Omega.
>>
>> Regards
>>
>> Ed
>>
>>
>> On Feb 2, 2013, at 12:06 PM, Bob Hanlon <hanlonr357 at gmail.com> wrote:
>>
>>> plot[tau_, omega_] :=
>>> Module[{arg, abs},
>>> {arg, abs} =
>>>  Factor[
>>>   Together[
>>>    ComplexExpand[
>>>     Through[{Arg, Abs}[
>>>       (1 + I*2*omega)/(1 + I*2*tau*omega)]]]]];
>>> {arg/Degree, 20*Log10[abs]}]
>>>
>>> ParametricPlot[
>>> Evaluate[
>>> Table[
>>>  plot[tau, omega],
>>>  {tau, Range[7, 15]}]],
>>> {omega, -0.5, -0.01},
>>> AspectRatio -> 1,
>>> GridLines -> Automatic,
>>> GridLinesStyle -> Dashed,
>>> ImageSize -> Large,
>>> Epilog -> {
>>>  Table[
>>>   Text[tau, plot[tau, -0.5], {2, 0}],
>>>   {tau, 7, 15}]},
>>> Mesh -> 5]
>>>
>>>
>>> Bob Hanlon
>>>
>>>
>>> On Sat, Feb 2, 2013 at 1:18 AM, Eduardo M. A. M. Mendes
>>> <emammendes at gmail.com> wrote:
>>>> 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
>>>>
>>>>
>>>>
>>
>

```

• Prev by Date: Try to find functions these intersections will show the set of data ?
• Next by Date: Re: Fibonacci integers
• Previous by thread: Re: Labelling each curve and changing grid in ParametricPlot
• Next by thread: Re: Labelling each curve and changing grid in ParametricPlot