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MathGroup Archive 2001

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RE: Graphing Level Sets

  • To: mathgroup at smc.vnet.net
  • Subject: [mg27460] RE: [mg27447] Graphing Level Sets
  • From: "David Park" <djmp at earthlink.net>
  • Date: Mon, 26 Feb 2001 01:29:26 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Eric,

ContourPlot is one convenient method for making your plot.

Needs["Graphics`ImplicitPlot`"]
Needs["Graphics`Colors`"]

f[x_, y_] := x^2*y^2

ContourPlot[f[x, y], {x, -5, 5}, {y, -5, 5}, Contours -> {1, 2, 3, 4, 5}, 
  ContourShading -> False, PlotPoints -> 30, FrameLabel -> {x, y}, 
  PlotLabel -> f[x, y], Background -> Linen, ImageSize -> 500, 
  Epilog -> {Text[1, {0.802016, 0.843527}], Text[5, {1.72142, 1.69221}]}];

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/ 

> From: Eric [mailto:hearts121 at deleteme.hotmail.com]
To: mathgroup at smc.vnet.net
> 
> Hello everyone,
> 
> I'm new to Mathmatica and I'm trying to graph the level sets of a 
> function in 3 variables. For example:
> 
> Given function:  f(x,y)=(x^2)(y^2)
> I want to graph the functions:
> 
> 1 = (x^2)(y^2)
> 2 = (x^2)(y^2)
> 3 = (x^2)(y^2)
> 4 = (x^2)(y^2)
> 5 = (x^2)(y^2)
> 


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