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Thread: Shallow question on Partial Order

  1. #1 Shallow question on Partial Order 
    Forum Junior ArezList's Avatar
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    1) Can anyone give me an example of partial ordered relation but NOT total ordered?

    2) BTW, is this a valid example:

    (x,y) in {1,2,10,17,19,36}

    x R y => x-y in Z*(positive integer)

    Thank you for your help.


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  3. #2 Re: Shallow question on Partial Order 
    . DrRocket's Avatar
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    Quote Originally Posted by ArezList
    1) Can anyone give me an example of partial ordered relation but NOT total ordered?

    2) BTW, is this a valid example:

    (x,y) in {1,2,10,17,19,36}

    x R y => x-y in Z*(positive integer)

    Thank you for your help.
    Subsets of a given set with inclusion as the order relation.


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  4. #3  
    Forum Junior ArezList's Avatar
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    thank you and is there anything wrong about my example?
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