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.

People laugh at me for my terrific walking speed:- 

My walking speed is one thing on which people crack a joke very often . I haven't made up my mind to control it but still I can mathematically argue with them why my speed of walking is so fast.

Before that my purely imaginary best friend Prof.Charles Eppes will help you to get an insight of walking and the simple math it involves.

So In my case the curtate cycloids that I trace out are at a higher rate . To get an analogy to this see the motion if a circular hoop.



Consider the black dot as my Knee and the red dot as my heel .When I walk I do not move entirely as the hoop but only the first two of the six instants . The velocity of black dot determines how fast the hoop moves.Similarly the velocity of my black dot i.e my knee is given by

V= Sqrt( L.A)  where L is length of my leg and A is centripetal force experienced by by knee taking it as 'g' = 9.8 m/s^2  and L=44.41 cm (using the fact that leg length is approximately 24.7 % of my cool  height of 5.9 ft :P)


V= 2.078 m/sec......


So this is my walking speed .So when trying to make fun of me please take this into account please.:P

The essence of mathematics is not to make simple things complicated, but to make complicated things simple. 

        ~S. Gudder

The vision @  Canteen again makes me think mathematically:

It was 9:30 pm and I was hungry ,so I decided to have a good dinner.But even a dinner doesn't last long and so I  had to get up and go. I was about to do so by placing the  dinner plate in the tray rack but it was already filled .So I had to place mine inside a rack which already had one and did it. At this very point of time a vision flashed through my mind and it was the "Pigeonhole principle"

I had to place my plate in an already filled rack because the no.of racks was less than the no.of plates required for people to eat .So one of the racks ended up in occupying more than one plate.This is basically the pigeon hole principle which is used in Combinatorics.

In mathematics, the pigeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.

I

 Strangely this comes to my mind 3 times everyday. Even some of the plates in canteen are large that they do not fit into the trays .Such times it comes to my mind that " Ha! this pigeon has become so fat that its unable to fit into the holes. :)"

The first time when I came across this was in 11th  when I was reading the Mathematics Excalibur which was partly Chinese and partly English.But I never thought that it would come up everyday in my life.

"There are two kinds of people in this world .Those who love math and those who haven't realized that they love math."

"A new theory to explain me" by me:-

 4 D M SPACE - A MATHEMATICAL WORLD OF ME, FOR ME AND BY ME.

Wait.. WHAT? 4-D M Space??

People know 2-d mostly, some know 3-d but 4-d very few,,,

Those who have a little knowledge of relativity may relate it to the 4-dimensional space-time but that's not what i'm talking about...

So What is it???

One evening  I was frustrated (Well it happens quite often to me). 

I had a thought in my mind that at any time i am immersed in only 3 things....,

1.Mathematics

2.Manga

3.mUSIC.

So be it , I Decided that these are the only three things that define me.

But the next day after listening to physics lecture on special relativity I thought that even to describe nature a fourth dimension of time is required then why don't i need it. But I didn't know what it was.

Something  related to time ... (which no one cared about before discovery of relativity). Something that i forgot that defines me.

Wait what did I just say ME..?

So be it is ME.

So I Concluded that the fourth Dimension was ME.

Things that define me are :

1.Mathematics

2.Manga 

3.Music

4.Me.

Any event of my life can be constructed with these 

4 things just as mathematically we say any vector can be constructed using bases like I j and k which are perpendicular  to each other and are of unit length.

Sounds simple but not so .,,,,,

The bases I j k are orthonormal but the 4. M's are not so , so i can't use them fully to construct the events of my life(Oops ! This may be too mathematical for people to understand.).

When this space was under construction there were many issues .One of them being the fact that the bases are not orthogonal.I could not find a solution to this problem until one day I was sitting in the waiting place in the bank (mom took me there as she had some work) .I was Bored .I was onto thinking of understanding people ( the only thing I am weak at) using a thought I had the previous day   that we all are like Complex Numbers. At this point notice that the word complex bring into our minds either a+ib or x+iy .But we forget the fact that even real numbers R are a Subset of Complex numbers C.i.e. every Real number is a complex number.The problem with this is that even mathematicians had for so long played with Real numbers until someone had a thought about the square root of -1 and from the imaginary quantities were born, which when used along with real numbers Complex numbers C could be constructed and this world could be understood in an even better way .Forgetting this fact I start the imaginary part of people (not what they are)and try to get to the real part(What they are actually) and end up devastated..

After this deep line of thoughts I had one benefit,I could construct an Imaginary part to my space and that would be the ME axis. Thus any event of my life 

E( m1,m2,m3,M4) = m1* Math + m2*Music + m3*Manga + i*m4*ME

where Math,Music,Manga,ME are the unit vectors along Mathematics,Music,Manga and ME directions respectively.

But still one problem persisted the non orthogonal bases and well I had the solution right there when I came back home and noticed my old S.L.Loney's Co-ordinate Geometry book lying on my table and the solution it gave was

                                "OBLIQUE AXIS."