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MathGroup Archive 2006

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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71816] Re: Graphics--How to plot all functions issued from For loop and
  • From: dh <dh at metrohm.ch>
  • Date: Thu, 30 Nov 2006 06:05:08 -0500 (EST)
  • References: <ekjg15$df7$1@smc.vnet.net>

Hi,
here is a possible solution:
fun=Table[Sin[k x],{k,0,5}];AppendTo[fun,Cos[x]];
hue=Table[Hue[k/7],{k,0,6}];
txt=Table["Sin("<>ToString[k]<>" x)",{k,0,5}];AppendTo[txt,"Cos(x)"];

g=PolarPlot[Evaluate[fun],{x,-Pi/2,Pi/2},PlotStyle->hue,
       AxesLabel->{\[Theta],\[Psi]},
       DisplayFunction->Identity];
ShowLegend[g,{Transpose[{hue,txt}],LegendPosition->{.8,.1},
     LegendSize->{.6,.5}, LegendShadow->{.02,-.02}}]
Daniel

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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