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Unformatted text preview: Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers ICS 253 Lecture 12 Dr. Adel F. Ahmed ICS  CCSE  KFUPM November 11, 2008 Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Basic Structures Sets Set Builder Set Comparison Visual Representation of Sets Containment and Subsets Containment Containment cont. Power Set Cartesian Products Tuples Cartesian Product Generic Cartesian Product Using Set notation with Quantifiers Truth Sets of Quantifiers Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Sets Set Builder Set Comparison Visual Representation of Sets Definitions I A set is an unordered collection of objects Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Sets Set Builder Set Comparison Visual Representation of Sets Definitions I A set is an unordered collection of objects I The objects in a set are called the elements , or members , of the set. Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Sets Set Builder Set Comparison Visual Representation of Sets Definitions I A set is an unordered collection of objects I The objects in a set are called the elements , or members , of the set. I A set is said to contain the elements. Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Sets Set Builder Set Comparison Visual Representation of Sets Definitions I A set is an unordered collection of objects I The objects in a set are called the elements , or members , of the set. I A set is said to contain the elements. Example 1: The set V of all vowels in the English alphabets can be written as V = { a , e , i , o , u } Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Sets Set Builder Set Comparison Visual Representation of Sets Definitions I A set is an unordered collection of objects I The objects in a set are called the elements , or members , of the set. I A set is said to contain the elements. Example 1: The set V of all vowels in the English alphabets can be written as V = { a , e , i , o , u } Example 2: The set O of odd positive integers less than 10 can be expressed by O { 1 , 3 , 5 , 7 , 9 } Dr. Adel F. Ahmed ICS 253 Lecture 12 Outline Basic Structures Containment and Subsets Cartesian Products Using Set notation with Quantifiers Truth Sets of Quantifiers Sets Set Builder Set Comparison...
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 Set Theory, Dr. Adel F. Ahmed, Dr. Adel F., Outline Basic Structures, Basic Structures Containment

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