Cartesian product of sets A and B is denoted by A x B. If the ordered pairs of elements are formed from any two non-empty sets, then the product is named as “Cartesian product”. That is, if P and Q are any two. The Cartesian Product of two sets A and B is the set of all Ordered Pairs (a,b) where the first element of order pairs “a” belongs to first set “A” and second element.

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Why call it a product? A two-dimensional coordinate system[ edit ] Cartesian coordinates of example points The main historical example is the Cartesian plane in analytic geometry.

Formally, any set of ordered pairs which defines a relation between the first member of each cartesian product of sets and its corresponding second member.

[] Remarks on dimensions of Cartesian product sets

He was lying on his bed when he saw a fly. After a lot of buzzing from the fly, he noticed something very simple yet outstanding.

He could mark the position of the fly cartesian product of sets three parameters, distance from the two adjacent walls and distance from the floor.

So, what is going on here is that it is not so much the sets we should care about as much as it is the functions between them. When you have four sets you can multiply them together in a given fixed order in five different ways.