Discrete Mathematics - Vol 1 | 16. Relations by Abraham | Learn Smarter
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16. Relations

The chapter focuses on the concept of relations within the context of mathematics, exploring their definitions, properties, and representations. It emphasizes binary relations as the primary focus while also discussing special types of relations and their characteristics. Additionally, various methods for representing these relations, such as matrix and graph representations, are highlighted.

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Sections

  • 16.1

    Relations

    This section introduces the concept of relations, focusing on their definitions, properties, representations, and special types.

    Learning Practice

  • 16.2

    Mathematical Interpretation Of Relations

    This section introduces the concept of relations in mathematics, particularly focusing on binary relations and their properties.

    Learning Practice

  • 16.2.1

    Definition Of Relation

    This section introduces relations, defining them as subsets of Cartesian products and discussing their properties.

    Learning Practice

  • 16.2.2

    Binary Relations

    This section introduces binary relations, defining them as subsets of Cartesian products of sets and discussing various properties and representations.

    Learning Practice

  • 16.2.3

    Number Of Binary Relations

    This section introduces the concept of binary relations as subsets of Cartesian products of two sets, discussing their properties and representations.

    Learning Practice

  • 16.2.4

    Representation Of Binary Relations

    This section introduces binary relations as subsets of Cartesian products and discusses their representation and properties.

    Learning Practice

  • 16.3

    Types Of Relations

    This section introduces the concept of relations in mathematics, specifically focusing on binary relations and their various properties.

    Learning Practice

  • 16.3.1

    Reflexive Relations

    This section discusses reflexive relations in the context of discrete mathematics, explaining their properties and representations.

    Learning Practice

References

ch16 - part A.pdf

Class Notes

Memorization

What we have learnt

  • A relation is defined as a ...
  • Binary relations can be rep...
  • Reflexive relations relate ...

Final Test

Revision Tests