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Consider C[0,1] with sup metric

  1. Jul 17, 2008 #1
    What does this mean ! ?
     
  2. jcsd
  3. Jul 17, 2008 #2

    mathman

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    C[0,1] means continous functions defined for the closed interval 0 to 1. Sup metric means the distance between two functions f and g is defined as the sup |f(x)-g(x)| over that interval.
     
  4. Jul 17, 2008 #3

    mathwonk

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    it means the distance between two functions is the furthest apart their graphs ever get, over any point of the domain.
     
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