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Function to find

  1. Feb 7, 2009 #1

    I'm looking for a function f(x,y) which has the following properties :

    [tex]\frac{-\partial f}{\partial x}[/tex] tends to 0 when x or y tends to [tex]\pm \infty[/tex], odd in the x direction, and even in the y direction.

    something that has a shape like [tex]exp(-(x^2 + y^2))*tanh(x)[/tex].

    And [tex]\frac{\partial f}{\partial y}[/tex] has a shape that looks like [tex]exp(-(x^2+y^2))[/tex]

    I'm looking for f, and not the derivative independantly because I want the divergence of the vector (df/dx, df/dy) to be 0.

    can you help me ?
  2. jcsd
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