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Why the the other supremum sum is bigger

  1. Mar 16, 2009 #1
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 16, 2009 #2

    tiny-tim

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    Hi transgalactic! :smile:

    That's sup(xn + yn) ≤ sup{xn} + sup{yn} …

    the sum of two things can't be larger than the sum of their maximum possible values …

    but it can be smaller (for example, xn = 0 and yn = 1 for n odd, but xn = 1 and yn = 0 for n even … then sup(xn + yn) = 1, but sup{xn} + sup{yn} = 2)

    what's worrying you about that? :smile:
     
  4. Mar 16, 2009 #3
    ahh thanks
    :)
     
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