Transcription of Sets and set operations - University of Pittsburgh
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Sets and set operations - University of Pittsburgh
1M. HauskrechtCS 441 Discrete mathematics for CSCS 441 Discrete Mathematics for CSLecture 7 Milos Sennott SquareSets and set operationsM. HauskrechtCS 441 Discrete mathematics for CSBasic discrete structures Discrete math = study of the discrete structures used to represent discrete objects Many discrete structures are built using sets Sets = collection of objectsExamples of discrete structures built with the help of sets: Combinations Relations Graphs 2M. HauskrechtCS 441 Discrete mathematics for CSSet Definition:A setis a (unordered) collection of objects. These objects are sometimes called elementsor members of the set.
4 CS 441 Discrete mathematics for CS M. Hauskrecht Equality Definition: Two sets are equal if and only if they have the same elements. Example: • {1,2,3} = {3,1,2} = {1,2,1,3,2} Note: Duplicates don't contribute anythi ng new to a set, so remove them. The order of the elements in a set doesn't contribute
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