# Relational Algebra - Intersect operator (intersection)

### Table of Contents

## 1 - About

intersect (or intersection) is a relational operator that returns the intersection of two relation A and B, denoted by A ∩ B.

An intersection is defined as all tuples (rows) that are present in both of two union-compatible (same columns and same type) relation A and B.

The following definition are also equivalent.

- all elements of A that also belong to B
- all elements of B that also belong to A

## 2 - Articles Related

## 3 - Visualisation

## 4 - Syntax

### 4.1 - Minus

A derived operator using minus (-) where the minus expression <math>( R1 - R2 )</math> returns anything that is only in R1

<MATH>\Large R1 \cap R2 = R1 - ( R1 - R2 ) </MATH>

### 4.2 - Join

- Derived using join

<MATH> \Large R1 \cap R2 = R1 \times R2 </MATH>