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CSE115/ENGR160 Discrete Mathematics 03/29/11, - Title: CS173: Discrete Math Author: Cinda Heeren User Last modified by: mhyang Created Date: 8/25/2005 3:39:22 AM Document presentation format: On-screen Show (4:3), - Discrete Mathematics Lecture 2. 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 windarta@yahoo.com ... | 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. 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If the set is all prime numbers greater than 2, If an element a is a member of (or an element of), N 0, 1, 2, 3, is the set of natural numbers, Q p/q p ? A few selected real numbers 2.1, p, 0, -6.32, 1, 2, 3, 4, 5 is equivalent to 3, 5, 2, 4, 1, Consider the list of students in this class, It does not make sense to list somebody twice, Italic lower-case letter for elements (a, x, y), If the set is all odd integers greater than 2, it. They'll give your presentations a professional, memorable appearance - the kind of sophisticated look that today's audiences expect. Z, q ? 3� 7 ! +, −, not), postfix (e.g. &Z& ?ׯ�w\0X�1������S�MK=��%U �a.%}(�f�Y�D�NƘ,�̓Jhn8�:5ͫ�{��)�!�q��ǎ��}F�.����t�-����'*���Ko�F��;ux�� �� PK ! �L%}�C:�"�$tr�߾m���~�;?/��Š�� - Matematika Diskrit (Discrete Mathematics) Tingkat 2 Manajemen Persandian Teknik Persandian Semester Gasal T.A. &Z& ?ׯ�w\0X�1������S�MK=��%U �a.%}(�f�Y�D�NƘ,�̓Jhn8�:5ͫ�{��)�!�q��ǎ��}F�.����t�-����'*���Ko�F��;ux�� �� PK ! B - A ( A?B ) - ( A, 1 ? This is specified by S ? Clipping is a handy way to collect important slides you want to go back to later. K. Vesztergombi B)c ? ppt/slides/_rels/slide21.xml.rels���J1������dZoE��F��+�pH�d��9�8oo�M���������#L� Conjecture a simple formula for an, the first 10 terms of the sequence an are. The need of sophisticated Mathematics has resulted in emergence of this area. - ... Error-Detecting Codes Social Choice Voting Social Choice Apportionment Algorithms Discrete Mathematics Nature of Problems ... Social Choice Voting ... Turkey 7 ... Chapter 2 Basic Structures Sets, Functions, Def 1 A set is an unordered collection of, Def 2 The objects in a set are called the, Z ,-2,-1,0,1,2, , the set of integers (?? DRAFT 2.  Clearly, if xA B  x  A or x  B, Generalised definition If A1, A 2 , ...An is a finite family of sets, then their union is n A1 A2 A3 ...UAn or An . Publisher: McGraw Hill. Set operations in programming languages: Issues about data structures used to represent sets and the computational cost of set operations. presentations for free. �G��ev�O��K]���WKO�E������7 �� PK ! Set Theory (PowerPoint File) 4. Def 3 Two sets A,B are disjoint if AnB ? �L%}�C:�"�$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.