0323-notes - CPSC 121 Lecture 29 March 23, 2009 Menu March...

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Unformatted text preview: CPSC 121 Lecture 29 March 23, 2009 Menu March 23, 2009 Topics: Set Theory (cont’d) Reading: Today: Epp 5.2 Next: Epp 5.3 Epp 7.1 Reminders: Assignment 4 due Friday, April 3 (by 17:00) Look for On-line Quiz 11 Final exam Friday, April 17, 7:00pm, SRC A READ the WebCT Vista course announcements board Sets can be combined in many ways to produce new sets. Let’s review: Set Operations Let A and B be sets contained in a universal set, U The union of sets A and B is given by A ∪ B = { x ∈ U | x ∈ A ∨ x ∈ B } The intersection of sets A and B is given by A ∩ B = { x ∈ U | x ∈ A ∧ x ∈ B } The difference of sets A and B is given by A- B = { x ∈ U | x ∈ A ∧ x / ∈ B } The symmetric difference of sets A and B is given by A ⊕ B = { x ∈ U | x ∈ A ⊕ x ∈ B } ASIDE: Epp uses A 4 B to denote symmetric difference (see page 292) Questions about Set Operations Let A = { 1 , 2 , 6 } , B = { 6 , 3 , 4 , 1 } and C = { , 3 , 5 } Question: What is A ∪ C ? Answer: { , 1 , 2 , 3 , 5 , 6 } Question: What is A ∩ B ? Answer: { 6 , 1 } Question: What is A ∩ C ? Answer: ∅ Two sets whose intersection is the empty set are called disjoint Questions about Set Operations (cont’d) Consider arbitrary finite sets...
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This note was uploaded on 01/09/2010 for the course CPSC 121 taught by Professor Belleville during the Spring '08 term at The University of British Columbia.

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0323-notes - CPSC 121 Lecture 29 March 23, 2009 Menu March...

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