MathGroup Archive 2014

[Date Index] [Thread Index] [Author Index]

Search the Archive

Inverse function solution


Solve[ {x == Cos[u], y == Cos[u + v] }, {u, v} ] 

Its closed/analytic solution is not possible, even numerically. 

The known solutions are ellipses from sine waves with a phase difference, having x^2, x y and y^2 terms, as also sketched in Lissajous curves: 

ParametricPlot[{Cos[u], Cos[u + v]}, {u, -Pi, Pi}, {v, -Pi, Pi}] 

Can there be a work around? 

Narasimham



  • Prev by Date: Re: missing in Manipulate
  • Next by Date: Re: Better way to test the number of arguments?
  • Previous by thread: Re: Better way to test the number of arguments?
  • Next by thread: Re: Inverse function solution