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3 cards from this section. Quick, good the night before a test.
Define an equivalence relation.
Think about how elements relate to each other.
What is a partition of a set?
Remember what happens to the original set's elements in a partition.
What is one property an equivalence relation must satisfy?
Remember the three defining properties.
True or False? Every equivalence class is empty.
Consider the definition of equivalence classes.
Given a set of numbers S = {1, 2, 3, 4, 5}, define an equivalence relation that groups elements into three classes. Explain how your relation satisfies the three properties.
Describe the method you use to determine group membership.
Construct a partition for the set of letters in the word 'HELLO' and relate it to an equivalence relation.
Think about how repeated elements influence group formation.
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