Section 8.0 8.0.1
Chapter 8Relations
8.1 Relations and Their Properties
8.2* n-ary Relations
8.3 Representing Relations
8.4 Closures of Relations
8.5 Equivalence Relations
8.6 Partial Orderings
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.1 Relations & Their Properties 8.1.1
8.1 RELATIONS & THEIR PROPERTIES
CONCEPTUALIZATION and MODELING
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.1.2 Chapter 8 Relations
MORE EXAMPLES
GENERALIZATION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.1 Relations & Their Properties 8.1.3
ALTERNATIVE MODELS of RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.1.4 Chapter 8 Relations
COMPOSITION OF BINARY RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.1 Relations & Their Properties 8.1.5
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.1.6 Chapter 8 Relations
REFLEXIVE PROPERTY of RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.1 Relations & Their Properties 8.1.7
SYMMETRY PROPERTY of RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.1.8 Chapter 8 Relations
CLASSROOM EXERCISE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.1 Relations & Their Properties 8.1.9
ANTISYMMETRY PROPERTY OF RELATIONS
CLASSROOM EXERCISE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.1.10 Chapter 8 Relations
TRANSITIVITY PROPERTY OF RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.1 Relations & Their Properties 8.1.11
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.3 Representing Relations 8.3.1
8.3 REPRESENTING RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.3.2 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.3 Representing Relations 8.3.3
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.3.4 Chapter 8 Relations
DIGRAPHS and RELATIONAL PROPERTIES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.3 Representing Relations 8.3.5
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.3.6 Chapter 8 Relations
COMPUTING WITH A DIGRAPH
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.4 Closures of Relations 8.4.1
8.4 CLOSURES OF RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.4.2 Chapter 8 Relations
CLASSROOM EXERCISE
CLASSROOM EXERCISES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.5 Equivalence Relations 8.5.1
8.5 EQUIVALENCE RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.5.2 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.5 Equivalence Relations 8.5.3
FINITE EQUIVALENCE RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.5.4 Chapter 8 Relations
INFINITE EQUIVALENCE RELATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.1
8.6 PARTIAL ORDERINGS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.2 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.3
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.4 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.5
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.6 Chapter 8 Relations
INCOMPARABILITY
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.7
TOTAL ORDERINGS and LINEAR EXTENSIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.8 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.9
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.10 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.11
LUB’s GLB’s and LATTICES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.12 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 8.6 Partial Orderings 8.6.13
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
8.6.14 Chapter 8 Relations
coursenotes by Prof. J. L. Gross for Rosen 6th Edition