Define one to one correspondence

 In the previous post we have discussed about What is Mathematical Induction and In today's session we are going to discuss about Define one to one correspondence.


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One to one correspondence can be defined as property of a set according to which every member of set is related exactly one member of another set. This concept is applied on sets. Set is just a way to store similar kind of values into it and describe the relationship between these values or objects. If we want to describe this concept in the form of simple definition then we can say that it is a situation which occurs only when members of one set are evenly matched with members of another set. According to this one to one correspondence; we need to remember one thing that any member of first set can make a pair with any one member of another set.

Suppose we have two sets which are named as A and B respectively. Set A and B has some members that are shown below:

A = a, b, c, d, e,

B = I, j, k, l, m,

If we follow one to one correspondence concept on above given sets then each and every member of set 'A' can make a pair with one member of Set 'B'.

A → B = a, i, b, j, c, k, d, l, e, m

Above each member of set A makes pair with only one member of Set B. Any member of Set A can make pair with any member of Set B, there is no restrictions to make a pair. One more thing we need to remember is that none of the member should be left as unpaired. It means each and every member must carry a pair value with another set.

In mathematics, concept of Molality Formula can be denoted by numbers of moles of any given substance per liter of solution.

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