'Reflexive relations' presentation slideshows

Combinatorial Mathematics

Combinatorial Mathematics. Chapter 8 Relations. Outline. 8.1 Relations and their properties 8.3 Representing Relations 8.4 Closures of Relations 8.5 Equivalence Relations 8.6 Partial Orderings. 8.1 Relations and their properties.

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Software Testing Techniques (STT)

Software Testing Techniques (STT). UNIT-8 GRAPH MATRICES AND APPLICATIONS . Sudhakar yadav. Compiled with reference from: Software Testing Techniques: Boris Beizer Craft of Software Testing: Brain Marrick. Contents. SYNOPSIS MOTIVATIONAL OVERVIEW

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Chap. 7 Relations: The Second Time Around

Chap. 7 Relations: The Second Time Around. Binary Relation. For sets A, B, any subset of A ? B is called a (binary) relation from A to B. Any subset of A ? A is called a (binary) relation on A. Reflexive Relation. e.g. Given a finite set A with |A|=n. Then,

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Relations and Their Properties

Relations and Their Properties. Rosen, section 7.1 CS/APMA 202 Aaron Bloomfield. What is a relation. Let A and B be sets. A binary relation R is a subset of A ? B Example Let A be the students in a the CS major A = {Alice, Bob, Claire, Dan}

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Relations and Their Properties

Relations and Their Properties. Rosen, section 7.1 CS/APMA 202 Aaron Bloomfield. What is a relation. Let A and B be sets. A binary relation R is a subset of A ? B Example Let A be the students in a the CS major A = {Alice, Bob, Claire, Dan}

378 views • 30 slides

Relations

Relations. Relations. If we want to describe a relationship between elements of two sets A and B, we can use ordered pairs with their first element taken from A and their second element taken from B. Since this is a relation between two sets , it is called a binary relation .

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Relations and Their Properties

Relations and Their Properties. Epp, section ??? CS 202 Aaron Bloomfield. What is a relation. Let A and B be sets. A binary relation R is a subset of A ? B Example Let A be the students in a the CS major A = {Alice, Bob, Claire, Dan} Let B be the courses the department offers

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Rosen, Section 8.5 Equivalence Relations

Rosen, Section 8.5 Equivalence Relations. Longin Jan Latecki Temple University, Philadelphia latecki@temple.edu Some slides from Aaron Bloomfield. Introduction. Certain combinations of relation properties are very useful

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Reminders: Test3 is scheduled for Friday, April 25

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Relation

Relation. Relations. Recall the definition of the Cartesian (Cross) Product: The Cartesian Product of sets A and B, A x B, is the set A x B = {< x,y > : x?A and y?B }. A relation is just any subset of the CP!! R ? AxB Ex: A = students; B = courses.

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Relations and Their Properties

Relations and Their Properties. Section 9.1. Section Summary. Relations and Functions Properties of Relations Reflexive Relations Symmetric and Antisymmetric Relations Transitive Relations Combining Relations. Binary Relations.

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Properties of Relations

Properties of Relations. We will now look at some useful ways to classify relations. Definition: A relation R on a set A is called reflexive if (a, a)?R for every element a?A. Are the following relations on {1, 2, 3, 4} reflexive?. R = {(1, 1), (1, 2), (2, 3), (3, 3), (4, 4)}. No.

684 views • 13 slides