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4 cards from this section. Quick, good the night before a test.
Define partial ordering.
Consider the properties of relations.
What does poset stand for?
Think about how elements are arranged in this context.
What are the properties of a partial ordering?
Remember the defining features we discussed.
A Hasse diagram represents relationships in which type of set?
Consider the purpose of these diagrams.
You have the sets A = {1, 2}, B = {2, 3}, and C = {1, 2, 3}. Explore relations between these sets and construct a Hasse diagram.
Take one set at a time and relate it to the others.
Create a hierarchy of elements based on subset inclusion using the power set of {x, y}. Show your results through both set notation and a Hasse diagram.
Remember to establish levels as you draw your diagram.
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