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RecitationTwo - Rensselaer Electrical Computer and Systems...

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Rensselaer Electrical, Computer, and Systems Engineering Department ECSE 4500 Probability for Engineering Applications Recitation 2 Wednesday Feb. 3, 2010 Sets and Fields ref. Section 1.4 in Stark and Woods (S&W) text Set Theory De fi nition: element arbitrary, can be anything! often denoted a, b, c, ... De fi nition: set a collection of elements, often denoted A, B, C, ... De fi nition: subset A B means that all elements in A are also in B . We say A is a subset of B . De fi nition: equality A = B means A B and B A. In words we say A equals B . De fi nition: universal set the set containing all the elements De fi nition: null set φ the empty set {} De fi nition: union A B = { set of elements in either A or B } De fi nition: intersection A B = { set of elements in both A and B } De fi nition: complement A c = { set of elements in but not in A } De fi nition: di ff erence A B = { set of elements in A but not in B } Some Basic Set Identities Note: to ease the notational burden, we write A B = AB as is commonly done in this fi eld.
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