Results 1 to 4 of 4

Thread: Question

  1. #1
    Junior Member
    Joined
    Aug 2009
    Posts
    62

    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
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    May 2009
    Posts
    471
    Even numbers = $\displaystyle \{ 2n | n\in\mathbb{Z} \}$

    Odd numbers = $\displaystyle \{ 2n+1 | n\in\mathbb{Z} \}$ where $\displaystyle \mathbb{Z}$ is the set of integers
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Aug 2009
    Posts
    66
    Quote Originally Posted by artvandalay11 View Post
    Even numbers = $\displaystyle \{ 2n | n\in\mathbb{Z} \}$

    Odd numbers = $\displaystyle \{ 2n+1 | n\in\mathbb{Z} \}$ where $\displaystyle \mathbb{Z}$ is the set of integers
    That is certainly concise and precise. But could you not also just say
    $\displaystyle \{ n| n \, even \in\mathbb{Z} \}$ or something similar? Wouldn't that actually be clearer?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Banned
    Joined
    May 2009
    Posts
    471
    Quote Originally Posted by QM deFuturo View Post
    That is certainly concise and precise. But could you not also just say
    $\displaystyle \{ n| n \, even \in\mathbb{Z} \}$ 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 $\displaystyle \in$Evens 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
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum