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From: "John D'Errico" <woodchips@rochester.rr.com>
Newsgroups: comp.soft-sys.matlab
Subject: Re: plotting transcendental etqution set curve
Date: Sun, 1 Aug 2010 21:00:22 +0000 (UTC)
Organization: John D'Errico (1-3LEW5R)
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"RAB John" <dkkddkkd@walla.com> wrote in message <i34jb3$etm$1@fred.mathworks.com>...
> "us " <us@neurol.unizh.ch> wrote in message <i34g87$55c$1@fred.mathworks.com>...
> > "RAB John" <dkkddkkd@walla.com> wrote in message <i34fol$59u$1@fred.mathworks.com>...
> > > Hello you Matlab Guru's,
> > > 
> > > I have 2 transcendental equations in 3 variables (1 degree of freedom). I wish to efficiently plot equation set curve (or multiple curves as uniqness is not promised).
> > > 
> > > Any suggestions rather than just placing values into one of the variables and "FOR" it?
> > > 
> > > Thx,
> > > RAB
> > 
> > rather than words: show some ML code CSSMers can play with...
> > 
> > us
> 
> cos(x1)+3cos(x2)-2cos(x3) = pi/3
> -2cos(x1)+cos(2x2)+cos(x3) = pi/6
> 
> This equation set definitely have at least one curve as a solution. I wish to plot it wisely.

The solution set (which does exist) will be a 1-manifold,
(actually, a set of disjoint 1-manifolds) curves that lie in
the R^3 space (x1,x2,x3). These curves each look rather
like a bent ellipse, folded in half upon themselves.

John