Relations and Functions | Types of Relations | Reflexive Symmetric Transitive | Discrete Mathematics

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Relations Discrete Mathematics GATE Instructors cse it mca
Reflexive Symmetric Transitive Antisymmetric Reflexivity, Symmetry and Transitivity relations discrete mathematics
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Relations
Notations
Some simple examples
Properties
Reflexive
Symmetric
Transitive
Antisymmetric
Trichotomy
Equivalence relations
Characteristics of equivalence relations
Example proof
Partitions and equivalence classes
Problem set
Answers
Partial orders
Characteristics of partial orders
Example proof
Reflexive
Antisymmetric
Transitive
Problem set
Answers
Posets
Terminology
Hasse diagrams
Operations on Relations
Inversion
Concatenation
Diagonal of a Set
Shorter Notations Functions
Range and codomain Notations
Other function notation
Types of functions
Binary Relations
Sets, Relations and Functions, Sequences, Sums,. Cardinality of Sets Basic building block for types of objects in discrete mathematics. Set operations
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