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Math Help - Singularities of two variable rational functions

  1. #1
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    lower bound of a two variable function

    Let p(x,y) be a positive polynomial of degree n ,p(x,y)=0 only at the origin.Is it possible that
    the quotient p(x,y)/[absolute value(x)+absval(y)]^n will have a positive lower bound in the punctured rectangle [-1,1]x[-1,1]-{(0,0)}?
    Last edited by hedi; December 23rd 2012 at 02:48 PM.
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  2. #2
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    Re: Singularities of two variable rational functions

    Hey hedi.

    Can you explain what you mean symbolically (i.e. mathematically with symbols)?
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