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Math Help - Question

  1. #1
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    Question

    Hi everybody,

    I have a question:

    How can we write the set of real numbers odd and the set of real numbers

    even?

    And thank you anyway
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  2. #2
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    Even numbers = \{ 2n | n\in\mathbb{Z} \}

    Odd numbers = \{ 2n+1 | n\in\mathbb{Z} \} where \mathbb{Z} is the set of integers
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  3. #3
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    Quote Originally Posted by artvandalay11 View Post
    Even numbers = \{ 2n | n\in\mathbb{Z} \}

    Odd numbers = \{ 2n+1 | n\in\mathbb{Z} \} where \mathbb{Z} is the set of integers
    That is certainly concise and precise. But could you not also just say
    \{ n| n \, even \in\mathbb{Z} \} or something similar? Wouldn't that actually be clearer?
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  4. #4
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    Quote Originally Posted by QM deFuturo View Post
    That is certainly concise and precise. But could you not also just say
    \{ n| n \, even \in\mathbb{Z} \} or something similar? Wouldn't that actually be clearer?

    What I provided is the standard set notation for odds and evens as far as I know.

    In terms of what you asked, why wouldnt you just write down \inEvens if you are going to use the word even,

    The problem with that is you can define the odds and evens via set notation like I used, but you couldn't do that with what you said since you use the word even

    but yes, I would have to say it would be correct to say n such that n is even, but it's redundant and doesn't tell you anything
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