one to one correspondence

In the previous post we have discussed about algebra quadratic equations and In today's session we are going to discuss about one to one correspondence. In this blog we will see discuss one to one correspondence. One – to – one correspondence is a process in which a condition in which elements of one set (Let a set A) can be properly (or evenly) matched with elements of second set (other set B). Here the meaning of this word evenly is each element of set 'A' relates to one and only one member of set 'B' and each element of set 'B' relates to one and only one member of set 'A'. It means each element of set 'A' is connect with exactly one element of set 'B' and vice versa. Now we will understand the detail of one to one correspondence. If we understand the terms of order pair (x, y) where 'x' is a element of set 'A' and 'y' is an element of set 'B'. Here two orders are not possible for this condition that has first element same and two order is not correct for same element. If this type of condition stable in a set than it shows one – to – one correspondence between sets A and B.

In other words, if two sets have same cardinality than one – to – one correspondence stable among two sets. Let’s have small introduction about one - to - one function. Basically one - to – one function is taken to check whether one – to – one correspondence stable among infinite sets.

Let's we have given a function and if function is one – to – one then one – to – one correspondence lie among the set of positive integers and set of odd positive integer. We can also calculate one – to – one correspondence between rational numbers and integer numbers, (any number represented as ratio of two whole numbers is called as rational number) but we can not calculate one – to – one correspondence among real numbers and integers.

Pythagorean Triples List contains with three positive integers p, q, and r, such that p² + q² = r². Before attempting the 12th board exam please solve cbse sample papers 12.