Me,My social Awkwardness and My only friend ........Mathematics.

With all kinship relations in my Social network set apart there is almost nothing left and considering my Social Awkwardness  , I came to the conclusion that  Mathematics is the only way that I can get try to get rid of them .  

My Problem:Feeling socially awkward( Unable to interact socially with other people ,feeling embarrassed  and awkward) and alone due to absence of myself in an active social network.
Mathematical solution:  Try applying Social Network analysis S.N.A. using Graph theory.


S.N.A:

V ; Vertex set : This is nothing but the set of all people including myself.
E : Edge Set : This is the set containing all kinds of relationships .
Ex: Kinship (Blood relations),Friendship, Enmity,Love,Hatred,etc.

Incidence function : A function that associates each edge of graph with an ordered pair of vertices of the graph. Simply put  a kind of relation(edge) between two people.(ordered pair of vertices)


Density of social network : The ratio between Actual Connection (Active Relationships ) and Potential Connections (All Possible Relationships) in a social network is called Density .

In my case ,i think,it would be close to 7% or 8% .i.e. my social network is very very small . In fact sometimes i'm alone and the only one in it.

And I think my incidence function cannot be defined explicitly but its inverse can be determined.
Just like if F(x) = x+Sin(x) is others relationship with me but one cannot determine my relationship with others. But strangely is like this

as the relation others have with me grows stronger and stronger (High signal) my relation with them starts to grow ( Signal is present but very very weak).I cannot explain it but I Can show what's on my mind 

Simply put I feel that I cannot relate myself to others but others do relate themselves somehow to me.


With the math done right till now , I sometimes feel that i'm the outlier of the vertex set (odd one out among all people) and my social network density is tending to zero.

I think sometimes its right since my job as a  growing mathematician is to study networks but not essentially be a part of them :)
Maybe that's why I have nothing in Real Numbers as my domain.But extending it to complex numbers,Imaginary people like Charlie eppes,Larry fleindhart and Complex persons like Ramanujan ,Galois have come to my help . :)

With all of these aside .There is still a little hope and this hope gave me RAMSEY's THEOREM.

Also known as Theorem on Friends and Strangers,
Suppose a party has six people. Consider any two of them. They might be meeting for the first time—in which case we will call them mutual strangers; or they might have met before—in which case we will call them mutual acquaintances. The theorem says:

In any party of six people either at least three of them are (pairwise) mutual strangers or at least three of them are (pairwise) mutual acquaintances

For a deeper insight to this please visit  https://www.youtube.com/watch?v=xdiL-ADRTxQ

(If I Get some time I will definitely do it and  a I promise people i'll blog on it :) )


So with myself in a group of Six people At least I may know 2 people  who mutually know each other and also know me. It is also possible that I'm in the group of 3 people who do not know each other .(Sadly that's what happens mostly.) :)

Hence my Social Network is fragile,Weak and Unstable.Whether Math has helped me to resolve it or not I don't know but .


People who want to be a part of my social network are happily welcome.

"The Beauty in Mathematics is that it is the ultimate tool  or BRAHMAASTRA to solve any problem but the hardest part of it is to know where to use it. Once it is known the rest is simple."
                                                                 - My life experience has taught me that.