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Thread: Dominant variable in a multi-variable equation

  1. #1
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    Dominant variable in a multi-variable equation

    For example, I have an equation $f(x,y) = x(1-\frac{x}{y})(1-\frac{x}{Ny})^{p-2}$ $\vee p\in I$.


    How can I find the dominant effect between $x$ and $y$? I can find it using Matlab. But don't know how to numerically do it? Please find the figure attached.
    Dominant variable in a multi-variable equation-untitled.png
    Last edited by sjaffry; Oct 9th 2017 at 02:16 PM.
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  2. #2
    MHF Contributor

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    Re: Dominant variable in a multi-variable equation

    The leading power of x is x^p while y is to the 1- p power.

    Another way to look at it is to let u= x/y. Then f(u,y)= uy(1- u)(1- u/N)^(p- 2). Compare u and y.
    Last edited by HallsofIvy; Oct 9th 2017 at 05:07 PM.
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