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R s.t. To list the members of a set, we use curly braces, separating each element from the next with a, We can use ellipses to keep us from having to list, all of the elements individually, provided the, meaning is obvious: H = {1, 2, 3, 4, …, 100}, Often we are dealing with sets where it is. And, best of all, most of its cool features are free and easy to use. Sets can contain non-related elements 3, a. Proof: (i) Let x be any arbitrary element of A B . 2007/2008 Untuk Direnungkan ... | PowerPoint PPT presentation | free to view, CSE115/ENGR160 Discrete Mathematics 04/24/12. 3� 7 ppt/slides/_rels/slide7.xml.rels�Ͻj�0��w�W�3��X�R P  A   S|S  A  S  P  A   S  A. A B Set OperationsUnion of sets: The union of A and B, denoted by A ∪ B, is the set of allthings which are members of either A or B. �ѡ�g*�u�� U2�%p.j���"�=�Kz���^'�k��xy����KkuI-��{Vs8��k�WG�?f�� �' �� PK ! is a leading presentation/slideshow sharing website. All positive numbers less than or equal to 5 1. 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Vesztergombi B)c ? ppt/slides/_rels/slide21.xml.rels���J1������dZoE��F��+�pH�d��9�8oo�M���������#L� Conjecture a simple formula for an, the first 10 terms of the sequence an are. The need of sophisticated Mathematics has resulted in emergence of this area. - ... Error-Detecting Codes Social Choice Voting Social Choice Apportionment Algorithms Discrete Mathematics Nature of Problems ... Social Choice Voting ... Turkey 7 ... Chapter 2 Basic Structures Sets, Functions, Def 1 A set is an unordered collection of, Def 2 The objects in a set are called the, Z ,-2,-1,0,1,2, , the set of integers (?? DRAFT 2.  Clearly, if xA B  x  A or x  B, Generalised definition If A1, A 2 , ...An is a finite family of sets, then their union is n A1 A2 A3 ...UAn or An . Publisher: McGraw Hill. Set operations in programming languages: Issues about data structures used to represent sets and the computational cost of set operations. presentations for free. �G��ev�O��K]���WKO�E������7 �� PK ! Set Theory (PowerPoint File) 4. Def 3 Two sets A,B are disjoint if AnB ? �L%}�C:�"�$tr�߾m���~�;?/��Š�� A B  x : x  A and x  B Clearly, if xA B  x  A and x  Band x  A B  x  A or x  B. A Ξ BbutA = {4, 5, 6} andC = {6, 5, 4} are equal, ie.