Math ..even when I'm unhappy...

People often ask me " Why do you watch so much of cartoons? "

( actually it's not so much of cartoons. It could be nicely put as some cartoon and a lot of anime .But it would be difficult for non-otakus to tell the difference between the two.)

The reasons to it are many but  one of the prime reasons to it (according to me) could be found by a retrospection of my childhood and that is due to my grandmother's huge list of serials.

Even today in a different way it makes me frustrated.I ,the other day was going through Lectures on Game theory and nothing made a clear sense due to the disturbance created by the high volume of the television.At one moment I got frustrated and kept the notes aside.To my mind came a idea to do an analysis of the reason that has made me unhappy through out my life....

Well here it is ,the analysis of my grandmother's serial watching over the ages :-

Let Y be the year in which  I am/was present and T_1 and T_2 be two non empty sets containing the serials watched by my grandmother in Tamil and Telugu languages respectively

T_1 = {S1,S2,S3,.........Sn}

T_2 = {S1’,S2’,S3’,.........Sn’}

L(x) is relation  that maps each serial 'x' to the  the language of the serial 'x'.Clearly

if we define L:T_1  → T_2 then  L(S1) ≠ L(S1').

τ(S) is a function that outputs the No. of episodes of the serial S aired  till the present date.

Let S be a non empty set containing all the serials watched irrespective of language i.e. 

S = T_1 ∪ T_2

If Y < 2011:

∀ X ∈ T_1  ∃ a unique Y ∈ T_2 such that 

τ(X) = τ(Y)  + t                               where        t >0  and t ∈ N (the set of natural numbers)

and the converse is not necessarily true i.e. the statement 

"∀ Y ∈ T_1 ∃ a unique X ∈ T_2" is not necessarily true.

In other words to say  the function   τ :T_1 → T_2  defined by τ(Y) = τ(X) - t  is not a Bijection.

If Y ≥ 2011 :

Let N be a non empty set containing a list of serials S" i where i≤4  such that  

L(S"i) ≠ L(X) ≠ L(Y)   where X ∈ T_1 and Y ∈ T_2

Γ(s) is a function that outputs the no. of episodes watched till present by my grandmother.

∀  S" i ∈ N  if  Γ(S" i)  >  4  then   delete the element S" i from N and add it to the set S i.e.

∀ S" i ∈ N if Γ(S" i) > 4   then  S" i ∉ N  , S"i ∈ S    ...

and that's what I could analyse and it took me 15 minutes to do and still neither the volume of television has reduced nor the serial has ended .But I hope that either I could perform a Fourier analysis on those sound waves to find a solution to the problem or learn some Game theory so that I could list the payoff's of mine and my grandmother's to find a strategic solution to this never ending game...:)...

"Go down deep enough into anything and you will find mathematics. ~Dean Schlicter"