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Thread: Partial Order

  1. #1
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    Partial Order

    I had an extra credit question for my my math class:

    Why is partial order interesting and why is it important?



    Thanks in Advance.
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  2. #2
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    Re: Partial Order

    This is not the correct place to ask this question. It's not a question about calculus.

    Partial orders are interesting and important because they appear often everywhere in mathematics. Real numbers are ordered by the partial order $\displaystyle \leq.$ Natural numbers are ordered by the same order but also by the order $\displaystyle \mid$ (divisibility). Subsets of any set are ordered by the order $\displaystyle \subseteq.$
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