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Homework Help: Linear Algebra: Denoting an interval

  1. May 25, 2010 #1
    1. The problem statement, all variables and given/known data
    Hi

    I have a position given by the point 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 this point. Can I write this interval as


    [tex]
    x,y \in [(x-v_x)^2-(y-v_y)^2=4]
    [/tex]

    ?

    Best,
    Niles.
     
  2. jcsd
  3. May 25, 2010 #2

    Mark44

    Staff: Mentor

    The domain of definition is not an interval, which is a segment of a line. The domain is a circular disk of radius 2, centered at the point (vx, vy). You would write the domain as
    [tex]D = \{(x, y) | (x - v_x)^2 + (y - v_y)^2 \leq 4 \}[/tex]
     
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