March 2015

PEACE,LOVE AND MATH:-

Part-II :-

"Me and my girlfriend are like a complex number, I am the real part while she is the  imaginary one."

So with my mind scattering around  random thoughts some of these are what I could think of her:

"Even before I knew you ,you entered my ε neighborhood. So to begin with you were present in my deleted  ε neighborhood.When I finally came to know all about you,I noticed a similarity in our ε neighborhoods.It seemed to me that there existed an Isomorphism  between them."

"But at the end life is never like a differential equation,just plug in the initial conditions and you can know all about the future. It's rather stochastic. Even if you know the initial condition you cannot predict the future. So I feel I'm no longer in your ε  neighborhood but you will remain forever in my ε neighborhood."

Further with study of Nonlinear dynamics ,I came across the following mathematical model of Steven Strogatz :-

The Strange love Story:-

"Romeo is in love with Juliet.He warms up when Juliet loves him and grows cold when she hates him.Whereas the more Romeo loves Juliet,she wants to run away and hide.But if Romeo gets discouraged and backs off,she finds him attractive."

The mathematical model:

Let 

R(t) denote Romeo's love or hate for Juliet at time t.

J(t) denote Juliet's love or hate for Romeo at time t.

R(t)>0 : Loves Juliet    R(t)<0 : hates Juliet
J(t)>0 : Loves Romeo    J(t)<0 : hates Romeo.

Now Considering our Strange love story we have the following mathematical model:-

\

 

  ( I Swear that I'll learn LATEX someday in the future ,but that day i'll be regretting for not doing it before, )


So in this cycle of love and hate Romeo and Juliet cannot be in love or hate forever.Rather in a cycle of love and hate forever.


THE END.............................NOPe.

Perhaps this model can be improved by considering some other love stories or How about a triangle love story. There can be infinite possibilities  one has to just keep calm and do the math right.

"While physics and mathematics may tell us how the universe began,they are not much use in predicting human behavior because there are far too many equations to solve .I'm no better than anyone else at understanding what makes people tick, particularly women."                                                                            -Stephen Hawking.