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Math Help - Sorting Elements of Set Before Working On it?

  1. #1
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    Sorting Elements of Set Before Working On it?

    Is it better to sort the elements of set before start working on it?

    For example I have a set
    B = {1,2,3,4}

    A relation R is defined on B as
    R = {(1,2), (4, 3), (2,4), (3,1), (1, 3), (4, 1)}

    Shouldn’t I sort the elements of R as follows before I make a directed graph or show matrix representation etc?

    R = {(1,2), (1, 3), (2,4), (3,1), (4, 1), (4, 3)}

    Will it affect the logic and/or value of set?

    Any suggestion please?

    Thanks!
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  2. #2
    Senior Member Dinkydoe's Avatar
    Joined
    Dec 2009
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    The set of points have their natural ordering from \mathbb{R}^2.

    So if you draw the points in \mathbb{R}^2, it doesn't matter at wich point you start, you'll still be making the same graph eventually.

    So, the answer is no. You can mix them up all you want.
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  3. #3
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    Thank You Dinkydoe.
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