Cartesian Product
The Cartesian Product is a mathematical operation that combines two sets to create a new set of ordered pairs. If you have two sets, A and B, the Cartesian Product, denoted as A × B, consists of all possible pairs where the first element comes from A and the second element comes from B. For example, if A = 1, 2 and B = x, y, then A × B = (1, x), (1, y), (2, x), (2, y).
This concept is widely used in various fields, including computer science, statistics, and mathematics. It helps in understanding relationships between different sets and is foundational for concepts like databases and coordinate systems. The Cartesian Product can also be extended to more than two sets, resulting in tuples with more elements, such as A × B × C.