'Symmetric relation' presentation slideshows

Relations

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Relations

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Relations

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Relations

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Chapter 7 Relations : the second time around

Chapter 7 Relations : the second time around . Yen-Liang Chen Dept of Information Management National Central University. 7.1. Relations revisited: properties of relations .

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Relations

Relations. CSC-2259 Discrete Structures. Relations and Their Properties. A binary relation from set to is a subset of Cartesian product. Example:. A relation:. A relation on set is a subset of. Example:. A relation on set :.

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Relations

Relations. CSC-2259 Discrete Structures. Relations and Their Properties. A binary relation from set to is a subset of Cartesian product. Example:. A relation:. A relation on set is a subset of. Example:. A relation on set :.

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Representing Relations

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Representing Relations

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Discrete Mathematics

Discrete Mathematics. 3. MATRICES, RELATIONS, AND FUNCTIONS. Lecture 5. Dr.-Ing. Erwin Sitompul. http://zitompul.wordpress.com. Homework 4. Prove that for arbitrary sets A and B , the following set equation apply: a) A ? ( A ? B ) = A ? B b) A ? ( A ? B ) = A ? B.

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Discrete Mathematics

Discrete Mathematics. 3. MATRICES, RELATIONS, AND FUNCTIONS. Lecture 5. Dr.-Ing. Erwin Sitompul. http://zitompul.wordpress.com. Homework 4. Prove that for arbitrary sets A and B , the following set equation apply: a) A ? ( A ? B ) = A ? B b) A ? ( A ? B ) = A ? B.

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CSCI 115

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CS 23022 Discrete Mathematical Structures

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Relations

Relations. Chapter 9. Chapter Summary. Relations and Their Properties n - ary Relations and Their Applications ( not currently included in overheads ) Representing Relations Closures of Relations ( not currently included in overheads ) Equivalence Relations Partial Orderings.

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Relations

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Closures of Relations

Closures of Relations. Based on Aaron Bloomfield Modified by Longin Jan Latecki Rosen, Section 8.4. Relational closures. Three types we will study Reflexive Easy Symmetric Easy Transitive Hard. Reflexive closure. Consider a relation R :

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Representing Relations

Representing Relations. Section 9.3. Section Summary. Representing Relations using Matrices Representing Relations using Digraphs. Representing Relations Using Matrices. A relation between finite sets can be represented using a zero-one matrix.

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Basics of Relations

Basics of Relations. Introduction. Human Language has many words and phrases to describe the relationship between or among objects. It may be that for two people A and B, that A is parent of B, A is an ancestor of B, A is taller than B.

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Relations

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