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Math Help - Coordinate- geometry

  1. #1
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    Coordinate- geometry

    I wanted to know if there is a method for non-linear transformation of axes. For example. if I wanted to transform y=f(x) into a coordinate system where X=g(x) and Y=h(x) (the x and y co-ordinates of this system are non linear functions of x and y respectively .
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  2. #2
    MHF Contributor

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    I don't understand what you mean by "a method for non-linear transformation". Do you mean converting, say, y= f(x) to Y= F(X)? If so, no there is no general simple formula. It depends basically on finding inverses for the two transformation functions. If g and h have inverses (which is not necessarily true for non-linear functions) then y= f(x) would be h^{-1}(Y)= f(g^{-1}(X) so that Y= h(f(g^{-1}(X))).
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  3. #3
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    yes i know that...i wanted to know if a general formula existed... i had derived a formula using calculus...it is complex but is general... thats al i wanteed to know
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