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4 cards from this section. Quick, good the night before a test.
Define reflexivity in terms of partial ordering.
Think about how your name relates to you.
What is the meaning of incomparable elements?
Consider numbers that do not divide each other.
What must a relation satisfy to be a partial ordering?
Recall the acronym R-A-T.
True or False: In a total order, no elements are incomparable.
Think about the definition of total ordering.
Given the set S = {a, b, c} with the relation defined as 'a divides b, a divides c', construct a Hasse diagram and verify all properties.
Focus on visual arrangement of the nodes and the relationships they imply.
List three scenarios where partial ordering would apply, ensuring to highlight incomparable elements.
Think of real-world examples that show relationships and dependencies.
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