The videos on this post will make you understand the concept behind the various types of relation on a set. Relation is a topic in discrete mathematics that we must understand before trying to learn about mathematical functions. First, we will define what is a relation and then we will try to look at different type of relations.
In the following videos we will try to learn about void, universal and identity relations. We will also try to compare identity relation with the reflexivity property of certain relations. These concepts will help us understand the notion behind mathematical functions more clearly.
Defining a relation from one set to another.
Describing domain and range of a relation.
What are Void and Universal relations on a set?
How are identity relation and reflexivity property of a relation related to each other?
The symmetric, transitive and anti-symmetric property of a relation.