Love calculator

Romeo loves Juliet, but Juliet likes to play hard to get and finds Romeo's excessive enthusiasm rather repulsive- the more he loves her, the less she likess him. On the other hand, when he loses interest, she fears losing him and begins to see his good side. Romeo is more straightforward: His love for Juliet increases when she is warm to him, and decreases when she is cold. Let R(t) represent Romeo's feelings and J(t) Juliet's. 

The lovers feelings are given:
{ dR/dt = aJ   ,     R(0) = 10000
{ dJ/dt = -bR  ,     J(0) = 0

where a, b are positive constants and m,n, represent their feelings when they first meet.
(Evidently, Romeo loves Juliet deep deep at first sight, and Juliet, of course, is indifferent)

dR/dt = aJ ------- (1)
dJ/dt = -bR ------ (2)

therefore, d/dt (1) =>  d2R/dt2 = a dJ/dt ------- (3)

substitute (2) into (3) => d2R/dt2 +abR = 0       (2nd order homo differential equation)

charactreristic equation:
 L^2 +ab = 0
 L = +- sqrt(ab) i        (i.e. a complex number)

solving:
 R = C1 cos sqrt(ab) t  +  C2 cos sqrt(ab) t
 J = -C1 sqrt(b/a) sin sqrt(ab) t  +  C2 sqrt(b/a) cos sqrt(ab) t

putting in initial conditions, C1 =  10000, C2 = 0.

R = 10000 cos sqrt(ab) t
J = -10000 sqrt(b/a) sin sqrt(ab) t

Over 1 period of time, they are only in love a quater of the time in 3pi/2sqrt(ab) < t < 2pi/sqrt(ab) i.e. both positive. They are out of love three quaters of the time....


Moral of the story:

Girls: honey, please DO NOT play hard to get.
Guys: have some faith macho, shes lagging due to her period.

A little story (with comments)

There was once a boy who lived in a house (DUH).

One evening, the little boy came back from school and opened his bedroom door (-.-). When he opened it, he saw a hot girl lying on his bed (WTF).

Author's Note: Let it be a known fact that she's barely sixteen. =D

The boy couldn't take it anymore (TAKE WHAT?!). He had been a good boy for the past 22 years, but her..... it was too much.

His heart fluttered, and he began to perspire (OH MY). The ambience was sweltering, yet he knew he had to remain cool (TTS RIGHT MAN).

So he entered the room and closed the door behind him (OH DEAR), he looked at the girl knowingly in the eye, and she looked back innocently at him. (OMG THIS IS RA-RATED)



(MONKEY GOES BANANAS)




"Stop denying Rach, i know u ate all the ice-cream. Now shut up and just turn on the aircon will u?

if randomness was chaotic

If a bitch speaks laws, a bark earns merit
When dogs become gods, the divine plan becomes invalid
I have to start doing housework- I cannot answer the phone.
Away from these sleazy salesmen and their meaningless loans.
The circus show is over- the curtains are down
The kid cannot laugh anymore, he falls from height.
When the old man leaves, and the bride loosens her gown
Then its finally time for the bridegroom to enjoy the night.

Alas! A system is unstable, it starts to collapse.
The words don't make sense, so the essay fails the test.
Yet the student never regrets, he has tried his best.
The teacher will never pass it anyway, he does it out of jest.
Then why did he call again? The philosophers ask.
To reason in circles, says the critic, around a selfish lust.
I love it, says the nihilist.... I love you, says the doll.
"I am" says the bitch... and she barks the law...

Somethings we may miss once in a while

Well, I initially thought of joining this- but I decided it isn't really fair since there are really kind people that I know that do not deserve this title. moreover, I must admit that there were times I had been equally unkind to people around me....

So in the end this notion came unto this domain- hopefully this may be a subtle yet strong reminder to ourselves never to treat each other as means to an end.... otherwise, lets make this world a better place, shall we? =)