PPT-1.1 Sets and Subsets

A set is a well defined collection of objects A collection of beanie babies A collection of hats An Element is one of the objects in a set A 1 2 3 1 A 2 A 3 A 4 A. Sean Larsen. Portland State University. Inspiration for the Project. It has been observed that students struggle with the quotient group concept even though it is implicit in the elementary notion of parity. (Dubinsky, Dautermann, Leron, and Zazkis, 1994). D. K. Bhattacharya. Set. It . is just things grouped together with a . certain property in . common. . Formally it is defined as a collection of . well defined objects. , so that given an object we should be able to say whether it is a member of the set or not.. Acknowledgement. G. . . Ancellet. , O. R. . Cooper, J. . Cuesta, G. . Dufour. , F. . Ebojie. , G. Huang, S. S. . Kulawik. , B. Latter, T. Leblanc, J. Liu, X. Liu, J. . Neu. , H. . Petetin. , I. . Petropavlovskikh. Reading Materials:. Ch. . 3.6 . of . [SG]. Contents. :. Incrementing a Binary Counter. How many subsets, Representation. Printing All Subsets Problem. Exponential Time Algorithms. Four seemingly unrelated problems. and Subsets. ICS 6D. Sandy . Irani. Lexicographic Order. S a set. S. n . is the set of all n-tuples whose entries are elements in S.. If S is ordered, then we can define an ordering on the n-tuples of S called the . Use set notation and terminology.. List elements of a finite set.. Describe the rule that defines a set.. Describe and recognise equality of sets.. Perform intersection, union.. Investigate commutativity for intersection and union.. A set is an object defined as a collection of other distinct objects, known as elements of the set. The elements of a set can be anything: people, plants, numbers, functions, and even other sets.. Using sets, nearly any mathematical concept can be derived. Gerry Shea, Michael . Bailit. , Christine Hughes, and Susan . Schow. February 24, 2015. Welcome and Introduction. 2. Gerry Shea. Buying Value Project . Director. gshea@buyingvalue.org. 202 256-7577. www.buyingvalue.org. and Matrices. Chapter 2. With Question/Answer Animations. Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill . . unordered, no duplicate. If S is a set, then. “x .  S” means x is an element of S. “x  S” means x is not an element of S. Set-roster. notation. :. S = {1, 2, 3}. S = {1, 2, …, 100}. Definitions:. Set: A collection of objects. . Elements: The objects that belong to the set. . Set Designations (3 types):. Word Descriptions:. The set of even counting numbers less than ten.. Listing method:. webbasis. Using the. DART Application. How to Create Employee Sets. Possible Uses of Creating Employee Sets. . This is a great tool to use when you want to display cost centers for an employee in a report type format for ease of viewing and locating information.. Topics for today. Basics of combinatorial counting. Applications to running time analysis. Using combinatorial counting. Evaluating exhaustive search strategies:. Finding maximum clique. Determining if a graph has a 3-coloring. a’ . be an element of A , then we write . and read it as ‘ a . belongs . to . A’ . or ‘ a is an element of . A’. If a is not an element of A then . SET BUILDER FORM.