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Math Help - floor function question

  1. #1
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    floor function question

    I have never dealt with floor functions before, and I had trouble understanding the proof in my textbook.
    Here's the portion of the proof:



    Also, is there some online material where I could study about floor/ceiling functions?
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  2. #2
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    Re: floor function question

    Hey Yuuki.

    Are you supposed to have an L inside there somewhere (instead of a v)?
    Thanks from topsquark
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  3. #3
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    Re: floor function question

    Quote Originally Posted by Yuuki View Post
    I have never dealt with floor functions before, and I had trouble understanding the proof in my textbook.
    Here's the portion of the proof:



    Also, is there some online material where I could study about floor/ceiling functions?
    Here is a good summery of the properties of the floor function.

    But there is a typo in the OP, a missing L.
    Thanks from topsquark
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  4. #4
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    Re: floor function question

    Thanks for the replies.
    As for the typo, I don't know how it's supposed to be, because that was what it said in the textbook.
    Would it make sense if you replaced the v under summation with L?
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  5. #5
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    Re: floor function question

    Hi,
    I guessed what the supposed inequality is, but this guess is a false inequality. I've attached some remarks on the floor function and a similar inequality that is true. I think it's worth your while to read at least the easy facts about floor.

    floor function question-mhfdiscretesuma.png

    floor function question-mhfdiscretesumb1.png
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  6. #6
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    Re: floor function question

    Wow, thank you very much for the two informative sheets!
    It helped that the facts came with proof.
    I think I was able to become a bit more familiar with the floor function and I managed to follow through your last proof.
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