Here you will learn what is equivalence relation on a set with definition and examples. Let’s begin – What is Equivalence Relation ? Definition : A relation R on a set A is said to be an equivalence relation on A iff it is (i) reflexive i.e. (a, a) \(\in\) R for all a \(\in\) …
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Here you will learn what is antisymmetric relation on sets with definition and examples. Let’s begin – What is Antisymmetric Relation ? Definition : Let A be any set. A relation R on set A is said to be an antisymmetric relation iff (a, b) \(\in\) R and (b, a) \(\in\) R \(\implies\) a = …
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Here you will learn what is transitive relation on set with definition and examples based on it. Let’s begin – What is Transitive Relation ? Definition : Let A be any set. A relation R on A is said to be a transitive relation iff (a, b) \(\in\) R and (b, c) \(\in\) R \(\implies\) …
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Here you will learn what is symmetric relation on sets with definition and examples. Let’s begin – What is Symmetric Relation ? Definition : A relation R on a set A is said to be a symmetric relation iff (a, b) \(\in\) R \(\implies\) (b, a) \(\in\) R for all a, b \(\in\) A i.e. …
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Here you will learn what is reflexive relation on set with definition and examples. Let’s begin – What is Reflexive Relation ? Definition : A relation R on a set A is said to be reflexive if every element of A is related to itself. Thus, R is reflexive \(\iff\) (a, a) \(\in\) R for …
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Here you will learn some relations examples for better understanding of relation concepts. Example 1 : If A = {2, 4} and B = {3, 4, 5} then (A \(\cap\) B) \(\times\) (A \(\cup\) B) Solution : (A \(\cap\) B) = {4} and (A \(\cup\) B) = {2, 3, 4, 5} \(\therefore\) (A \(\cap\) B) …
Here you will learn what is inverse relation, identity relation and posets in relation with example. Let’s begin – Definition of Inverse Relation If relation R is defined from A to B, then inverse relation would be defined form B to A, i.e. R : A \(\rightarrow\) B \(\implies\) aRb where a \(\in\) A, b …
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Here you will learn what is cartesian product of sets and what is relation and inverse relation with example. Let’s begin – Cartesian Product of Sets The cartesian product of two sets A, B is a non-void set of all ordered pair (a,b), where a \(\in\) A and b \(\in\) B. This is denoted by …
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In this post, we will learn various types of relations in math on a set. Let’s begin- Types of Relations in Math 1). Void, Universal and Identity Relation Void Relation : Let A be a set. Then \(\phi\) \(\subseteq\) A \(\times\) A and so it is a relation on A. This relation is called the void …
