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Is this an example of a partially ordered set Why or why notSo.pdf

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Is this an example of a partially ordered set? Why or why not? Solution No this is not a partially ordered set. This is because the relation R(a,b) is not a partial order. Suppose R(a,b), that is a and b have visited the same web-page. Also R(b,a) meaning b and a have visited the same webpage. But a=b is not true as we can have different people that have visited the same web page. Since the relation is not a partial order, we conclude that this is not an example of a partially ordered set..

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Is this an example of a partially ordered set? Why or why not? Solution No this is not a partially ordered set. This is because the relation R(a,b) is not a partial order. Suppose R(a,b), that is a and b have visited the same web-page. Also R(b,a) meaning b and a have visited the same webpage. But a=b is not true as we can have different people that have visited the same web page. Since the relation is not a partial order, we conclude that this is not an example of a partially ordered set.

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Is this an example of a partially ordered set Why or why notSo.pdf

  • 1. Is this an example of a partially ordered set? Why or why not? Solution No this is not a partially ordered set. This is because the relation R(a,b) is not a partial order. Suppose R(a,b), that is a and b have visited the same web-page. Also R(b,a) meaning b and a have visited the same webpage. But a=b is not true as we can have different people that have visited the same web page. Since the relation is not a partial order, we conclude that this is not an example of a partially ordered set.