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Thread: boundary

  1. November 15th 2009, 05:09 PM #1
    calc626
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    boundary

    W is the region outside of a sphere with r=5
    what is the boundary ?
    sorry this might be a silly question. i'm just debating between nothing or the sphere
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  2. November 15th 2009, 05:25 PM #2
    Jose27
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    It would be useful to remember that (at least in \mathbb{R}^n) \partial \Omega = \overline{ \Omega } \cap \overline{ \mathbb{R} ^n \setminus \Omega } ie. the boundary of a set is the same as that of it's complement.
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  3. November 15th 2009, 05:29 PM #3
    calc626
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    i'm sorry what do you mean it's compliment?
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  4. November 15th 2009, 05:34 PM #4
    Jose27
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    Quote Originally Posted by calc626 View Post
    i'm sorry what do you mean it's compliment?
    If the set is \Omega it's complemet is \mathbb{R} ^n \setminus \Omega
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  5. November 15th 2009, 05:39 PM #5
    calc626
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    so the boundary is the sphere?
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  6. November 15th 2009, 05:42 PM #6
    Jose27
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    Yes
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