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MathGroup Archive 2005

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Re: Plotting g(x,y) along contour of f(x,y)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57122] Re: Plotting g(x,y) along contour of f(x,y)
  • From: gnalle at ruc.dk (Niels L. Ellegaard)
  • Date: Mon, 16 May 2005 21:35:20 -0400 (EDT)
  • References: <d69v5k$95v$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

gnalle at ruc.dk (Niels L. Ellegaard) writes:

> I have two functions u(x,y) and phi(x,y) defined by
> u = Cos[x] + 0.3*(y-0.1*Cos[x])^2;
> phi=0.36 (y - 0.1 Cos[x])^2  + (-Sin[x] + 0.06 (y - 0.1 Cos[x]) Sin[x])^2;
> 
> For some limited parameterinterval I can invert u with respect to y to
> get a function yy(x,uu) fulfilling

I made a mistake in my first post. The truth is that I need to invert
with respect to x to get a function xx(y,u) fulfilling

u(xx(y,u),y) = u(x,y)   ; -Pi<x<0

Now I wish to plot  phi(x,yy(x,u)) for a few vallues of u

I am sorry about this mistake

                Niels

-- 
Niels L Ellegaard  http://dirac.ruc.dk/~gnalle/


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