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Math Help - Denoting an interval

  1. #1
    Junior Member
    Joined
    Oct 2008
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    49

    Denoting an interval

    Hi

    I have a position P determined by the point, at which a vector v points to. Now I have a function, which is only defined for the points on and inside a circle with radius 2 within P. Can I write this interval as

    <br />
x,y \in (x-v_x)^2-(y-v_y)^2=4<br />

    ?

    Sincerely,
    Niles.
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  2. #2
    Super Member
    Joined
    Aug 2009
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    Israel
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    That is a bit informal. You can write it like this:

    A := \{ (x,y) \in \mathbb{R} ^2 : \ (x - v_x)^2 - (y - v_y)^2 = 4 \}

    And then you can let (x, y) \in A which, if I understand correctly is what you're looking for.
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