{CREATIVITY,CRITICAL THINKING , RESILIENCE, MOTIVATION, PERSISTENCE,CURIOSITY,QUESTION ASKING,HUMOR,ENDURANCE,RELIABILITY,ENTHUSIASM,CIVIC-MINDEDNESS,SELF AWARENESS , SELF DISCIPLINE, EMPATHY, LEADERSHIP, COMPASSION, COURAGE, SENSE OF BEAUTY, SENSE OF WONDER , RESOURCEFULNESS, SPONTANEITY, HUMILITY , ARROGANCE - quality list taken from the net} The above qualities are just samples.

Let us say there are n qualities and m people in the sample space

Q = {Q1, Q2 … Qn}

P = {P1, P2 … Pm}

->each person has only one of the Q

if 2n > m > n, according to pigeon hole principle there is (m-n) people will have same qualities. Take n is 30 , world's population is infinity compare to this !! so its impossible for a person to have unique quality.

The above mentioned is “Each person has only one quality” but it is not the case in the real scenario. For example a person can have the combination of 2 or 3 or n qualities.. So now the complexity increases

We need to map matrix for each person

P = {a1Q1, a2Q2,……anQn}

now let us say coefficients a1 , a2 .. an can have only two values 0 or 1 ,

Consider a person has quality Q1 , Qn-1 and Qn then the string is

P = 10000…0011

Combinations provide 2 ^ n

if there are 30 qualities then 2 ^ 30 = 1073741824 unique characters which is less than world's population.. But in this calculation we assume a person can have a particular quality or he can not have particular quality.. But in the real scenaria person will have fractions of quality

Consider the fuzzy set { Very Low , Low , Normal , High , Very High } are the 5 levels of the coefficients {0,0.25,0.5,0.75,1}

Convert that to 5 levels … 0 ->0 , 0.25 -> 1 , 0.5 -> 2 , 0.75 -> 3 , 1 -> 4

Now so a person have low quality 1 , high quality 2 , very high quality n-1 , normal quality n then the string would be

P = 1300….0042

In this Qi is independent of Qj where i != j

For example An arrogant quality person can have sense of humour . a courageous person can have love !!

Therefore we can have L^n combinations , where L is the levels of the quality. As we increase L and n the characters lead to infinity !!!

Calculation

L = 5

n = 30

then 5 ^ 30 = 9.31322575 × 10^20 which is very high value compare to world’s population so theoretically It is very much possible that all people are unique in their own way in this world !!! In this proof I have not used time variable .. since human beings are time-variant and situation variant !!!

The people who stand out amidst of many people for the following reasons :::

They have Good qualties >>> Bad qualities

Their qualities do not vary with time and situation very much !!!

They have range of qualities which combine together form a super-uniqueness !!

Examples : Harishchandra , Prahalath , Bagirath , Sachin , Narayana Moorthy , ARR etc ...