'Complement laws' diaporamas de présentation

CSE15 Discrete Mathematics 02/15/17

CSE15 Discrete Mathematics 02/15/17. Ming-Hsuan Yang UC Merced. 2.2 Set operations. Union : the set that contains those elements that are either in A or in B, or in both A={1,3,5}, B={1,2,3}, A ?B={1,2,3,5}. Intersection. Intersection : the set containing the elements in both A and B

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Boolean Algebras

Boolean Algebras. Lecture 27 Section 5.3 Wed, Mar 7, 2007. Boolean Algebras. In a Boolean algebra , we abstract the basic properties of sets and logic and make them the defining properties. A Boolean algebra has three operators + Addition (binary) ? Multiplication (binary)

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Discrete Structures

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Ch. 2 Basic Structures

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Properties of Sets

Properties of Sets. Lecture 26 Section 5.2 Tue, Mar 6, 2007. Proving Basic Properties. Theorem: Let A and B be sets. Then A ? B ? A . Proof: Let x ? A ? B . Then x ? A and x ? B . Therefore, x ? A . So A ? B ? A. Comments.

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Set Operations

Set Operations. Union. Definition : The union of sets A and B , denoted by A ? B, contains those elements that are in A or B or both: Example : { 1, 2, 3} ? {3, 4, 5} = { 1, 2, 3, 4, 5}. U. Venn Diagram for A ? B. A. B. Intersection.

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Discrete Structures

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