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MathGroup Archive 2006

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Re: Graphics--How to plot all functions issued from For

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71817] Re: [mg71796] Graphics--How to plot all functions issued from For
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Thu, 30 Nov 2006 06:05:11 -0500 (EST)
  • Reply-to: hanlonr at cox.net

Needs["Graphics`"];

f=Table[{Hue[k/7],Sin[k*x]},{k,0,5}];

listps=PolarPlot[#[[2]],{x,-Pi/2,Pi/2},
          PlotStyle->#[[1]],
          DisplayFunction->Identity]&/@f;

pc=PolarPlot[Cos[x],{x,Pi/2,3*(Pi/2)},
      PlotStyle->Hue[0.8],
      DisplayFunction->Identity];

ShowLegend[
    DisplayTogether[listps,pc,
      AxesLabel->{θ,Ï?},
      Ticks->{PiScale,Automatic},
      PlotRange->{{-Pi/2,Pi/2},Automatic},
      ImageSize->700,
      DisplayFunction->Identity],
    {Append[f,{Hue[0.8],Cos[x]}],
      LegendPosition->{0.8,0.1},
      LegendSize->{0.3,0.2},
      LegendShadow->{0.02,-0.02}}];


Bob Hanlon

---- abdou.oumaima at hotmail.com wrote: 
> Hello MathGroup,
> I'd like to plot all functions issued from For Loop then color them automatically. If my loop is =10 it'll be very hard to write all Hue commands and all legends. Is there any way to plot and color and legend all functions automatically. I don't want to do that manually.
> Please Help.
> Many thanks in advance.
> Cheers.
> Lian.
> 
> NB: Please copy and past the code bellow into a notebook file to see what I did manually then evaluate it.
> 
> \!\(\*
>   RowBox[{\(<< Graphics`;\), 
>     "\[IndentingNewLine]", \(<< "\<Graphics`Legend`\>";\), 
>     "\[IndentingNewLine]", "\[IndentingNewLine]", \(listps = {};\), 
>     "\[IndentingNewLine]", 
>     RowBox[{
>       RowBox[{"For", "[", 
>         RowBox[{\(k = 0\), ",", \(k \[LessEqual] 5\), ",", 
>           RowBox[{"{", "\[IndentingNewLine]", 
>             RowBox[{
>               RowBox[{"ps", "=", 
>                 RowBox[{
>                   StyleBox["PolarPlot",
>                     FontColor->RGBColor[1, 0, 0]], 
>                   "[", \(Sin[k\ x], {x, \(-Pi\)/2, Pi/2}, 
>                   PlotStyle \[Rule] Hue[\(k - 1\)\/7], 
>                   AxesLabel \[Rule] {\[Theta], \[Psi]}, \ 
>                   DisplayFunction \[Rule] Identity\), "]"}]}], ";", 
>               "\[IndentingNewLine]", 
>               "\[IndentingNewLine]", \(listps = Join[listps, List[ps]]\), 
>               ";"}], "\[IndentingNewLine]", "\[IndentingNewLine]", "}"}], 
>           ",", \(k++\)}], "\[IndentingNewLine]", "]"}], ";"}], 
>     "\[IndentingNewLine]", 
>     RowBox[{
>       RowBox[{"pc", "=", 
>         RowBox[{
>           StyleBox["PolarPlot",
>             FontColor->RGBColor[1, 0, 0]], "[", \(Cos[x], {x, Pi/2, 3\ Pi/2}, 
>           PlotStyle \[Rule] Hue[\ 0.8], \ 
>           AxesLabel \[Rule] {\[Theta], \[Psi]}, \ 
>           DisplayFunction \[Rule] Identity\), "]"}]}], ";"}], 
>     "\[IndentingNewLine]", 
>     "\[IndentingNewLine]", \(ShowLegend[
>         DisplayTogether[listps, pc, Ticks \[Rule] {PiScale, Automatic}, 
>           PlotRange \[Rule] {{\(-Pi\)/2, Pi/2}, Automatic}, 
>           ImageSize \[Rule] 700, 
>           DisplayFunction \[Rule] 
>             Identity], {{{Hue[0], "\<1\>"}, {Hue[1\/7], "\<Sin(x)\>"}, {Hue[
>                 2\/7], "\<Sin(2x)\>"}, {Hue[3\/7], "\<Sin(3 x)\>"}, {Hue[
>                 4\/7], "\<Sin(4 x)\>"}, {Hue[5\/7], "\<Sin(5 x)\>"}, {Hue[
>                 0.8], "\<Cos (x)\>"}}, LegendPosition \[Rule] { .8,  .1}, 
>           LegendSize \[Rule] { .3,  .2}, \ 
>           LegendShadow \[Rule] { .02, \(- .02\)}}];\)}]\)
> 
> Link to the forum page for this post:
> http://www.mathematica-users.org/webMathematica/wiki/wiki.jsp?pageName=Special:Forum_ViewTopic&pid=15758#p15758
> Posted through http://www.mathematica-users.org [[postId=15758]]
> 


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