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Thread: Subset of R^p without Zero Content?

  1. #1 Subset of R^p without Zero Content? 
    Forum Freshman holysword's Avatar
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    Could anyone exemplify a subset of which does not have zero content? I'm reading Bartle's book on real analysis and I can't visualize such a situation for some reason (so far the book didn't mention either).


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    Quote Originally Posted by holysword View Post
    Could anyone exemplify a subset of which does not have zero content? I'm reading Bartle's book on real analysis and I can't visualize such a situation for some reason (so far the book didn't mention either).
    Can you state the definition you're using? Many people study measure theory directly and never see the term "zero content," which is sort of a simplified way of defining measure zero without defining measure.

    Then, having clearly written down the definition, write down a few zero content sets.

    Once you do that, the answer to your question will be more clear to you.

    The reason I'm giving you a list of activities rather than answering the question is that once you understand what zero content is, the answer to your question will be extremely obvious. So I think you're having trouble with the definition and examples.


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    Forum Freshman holysword's Avatar
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    Quote Originally Posted by someguy1 View Post
    Quote Originally Posted by holysword View Post
    Could anyone exemplify a subset of which does not have zero content? I'm reading Bartle's book on real analysis and I can't visualize such a situation for some reason (so far the book didn't mention either).
    Can you state the definition you're using? Many people study measure theory directly and never see the term "zero content," which is sort of a simplified way of defining measure zero without defining measure.

    Then, having clearly written down the definition, write down a few zero content sets.

    Once you do that, the answer to your question will be more clear to you.

    The reason I'm giving you a list of activities rather than answering the question is that once you understand what zero content is, the answer to your question will be extremely obvious. So I think you're having trouble with the definition and examples.
    Thanks for your answer someguy1. In fact, I missed one example short after the Definition 24.1 itself and just noticed much later on. And yes, its quite obvious.
    "Nolite arbitrari quia venerim mittere pacem in terram non veni pacem mittere sed gladium"
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