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MathGroup Archive 2002

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Re: problems with ContourPlot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33686] Re: [mg33616] problems with ContourPlot
  • From: Yas <yast at optushome.com.au>
  • Date: Sat, 6 Apr 2002 00:49:09 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Harald,
I used templates to re-write the expression. You should be able to copy 
and paste the text below into a notebook.

Cheers
Yas

(*CacheID: 232*)


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NotebookFileLineBreakTest*)
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Notebook[{
Cell[BoxData[
     \(Clear[a, b, c, x, y, z, f1]\)], "Input"],

Cell[BoxData[
     \(\(f1[a_, b_, c_, x_, y_,
           z_] := \((x\ \((x\  - \ a)\)\  + \ y\^2\  + \
                 z\^2)\)/\ \((\@\((x\^2\  + \ y\^2\  + \ z\^2)\)\^3\ 
\@\((\((x\
\  - \ a)\)\^2\ \  + \ y\^2\  + \ z\^2)\)\^3\ )\)\  - \ \((\((x\  - \
                       a)\)\ \((x\  - \ a\  - \ b - c)\)\  + y\^2\  + \
                 z\^2)\)/\ \((\@\((\((x\  - \ a)\)\^2\ \  + \ y\^2\  + \ 
z\^2)\
\)\^3\ \ \((\@\((\((x\  - \ a\  - \ b\  - \ c)\)\^2\ \  + \ y\^2\  + \ \
z\^2)\)\^3)\)\ )\)\  - \ \((x \((x\  - \ a\  -
                       b)\) + \n\ \ \ \ \ \ \ \ \ \ y\^2\  + \
                 z\^2)\)/\ \((\((\@\((x\^2\  + \ y\^2 + \ 
z\^2)\))\)\^3\ \@\((\
\((x\  - \ a\  - \ b)\)\^2 + \ y\^2 + \ z\^2)\)\^3)\)\  + \((\((x\  - \
                       a\  - \ b)\) \((x\  - \ a\  - \ b\  - \ c)\)\  + \
                 y\^2\  + \
                 z\^2)\)/\((\((\@\((\((x\  - \ a\  - \ b)\)\^2 + \ 
y\^2 + \ \
z\^2)\))\)\^3\ \@\((\((x\  - \ a\  - \ b\  - \ c)\)\^2\ \  + \ 
y\^2\  + \ \
z\^2)\)\^3)\);\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
     \(f1[0.5, 0.5, 0.5, x, 0.0, z] // Simplify\)], "Input"],

Cell[BoxData[
     \(\(-\(\(\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\(-1.`\) + x)\)\ x +
               z\^2\)\/\(\@\((\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\
(-1.`\) + \
x)\)\^2 + z\^2)\)\^3\ \((\(\(0.`\)\(\[InvisibleSpace]\)\) + x\^2 + \
z\^2)\)\^\(3/2\)\)\)\) + \(\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\
(-0.5`\) + \
x)\)\ x + z\^2\)\/\(\@\((\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\
(-0.5`\) + x)\
\)\^2 + z\^2)\)\^3\ \@\((\(\(0.`\)\(\[InvisibleSpace]\)\) + x\^2 + 
z\^2)\)\^3\
\) + \(\(\(1.5`\)\(\[InvisibleSpace]\)\) - 2.5`\ x + x\^2 + 
z\^2\)\/\(\@\((\(\
\(0.`\)\(\[InvisibleSpace]\)\) + \((\(-1.5`\) + x)\)\^2 + z\^2)\)\^3\ \
\((\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\(-1.`\) + x)\)\^2 + \
z\^2)\)\^\(3/2\)\) - \(\(\(0.75`\)\(\[InvisibleSpace]\)\) - 2.`\ x + 
x\^2 + z\
\^2\)\/\(\@\((\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\(-1.5`\) + 
x)\)\^2 + \
z\^2)\)\^3\ \@\((\(\(0.`\)\(\[InvisibleSpace]\)\) + \((\(-0.5`\) + 
x)\)\^2 + \
z\^2)\)\^3\)\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
     \(plot1 =
       ContourPlot[
         f1[0.5, 0.5, 0.5, x, 0.0, z], {x, \(-1.0\), 1.0}, {z, 0, 1},
         ContourShading \[Rule] False, Contours \[Rule] 50]\)], "Input"],

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