lect_34 - Equivalence Relations Margaret M Fleck 21 April...

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Equivalence Relations Margaret M. Fleck 21 April 2010 This lecture finishes the discussion of basic properties of relations and then covers material on equivalence classes from section 8.5 of Rosen, a topic we’ll continue through next Monday. 1 Announcements Reminder: quiz next Wednesday (28th). There will be a makeup quiz on the last day of classes. It is on a mixture of the topics from quiz 2 and quiz 2 and you get 80% of the face value of the quiz. It’s only worth taking if you missed a quiz (and it wasn’t excused) or you have a truly awful score (e.g. ¡ 10) on one quiz. Check your final exam schedule for conflicts. The final exam rules require that you report any conflicts to the instructors involved by the last day of classes. There’s two clarifications on HW 10, posted on the web page. 2 Transitive The final important property of relations is transitivity. A relation R on a set A is transitive if 1
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transitive: for all a,b,c A,aRb and bRc implies that aRc
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