Showing posts with label maths. Show all posts
Showing posts with label maths. Show all posts

Sunday, November 1, 2009

Mathematization



You can ignore the title as it is given for my lack of knowledge of a better word. Having given GRE a week ago, I think, does not make any difference in my ever so small vocabulary. Neither does cracking quant make any difference to my math skills, which remain at an average D graded. However, what follows is my attempt at trying to define something by a mathematical function: L (k,t)

Characteristics (for a given k):

1. The independent variable is time. That is, the graph is plotted with respect to time, and exists only in the first and 4th quadrants.

2. At t = 0, the function has a certain positive value, which is generally finite, but may tend to infinity in some cases. However, the special cases are excluded for general analysis.

3. The function gradually increases with time and tends to infinity. However, it goes to minus infinity for the next instant.

4. As time progresses, the value of the function approaches zero asymptotically from the negative.

5. Well, I can say, without doing much thinking, (which leaves a lot of scope to find out faults if anyone ever decides to read this post, or even comment, if i am really that fortunate) that the function will be:

L(k) = L(k)o + tan (0.5*t*pi/T) ; for 0=< t < T

L(k) = 1/(T-t); for T=< t


Well, the attempt is to define love. When you see someone(k), at t=0, there is finite attraction, which goes to infinity as time progresses. However, at some point of time, you realize that you have lost (time = T). Then you start hating that person so much, that you dont want to see, hear, think of that person ever.(L = -inf.) However, this hate to goes away after sometime, and you come to a balance where you dont care about the existence of that person. (L(k) = 0).

If you have read the post till here, then I am sure you are a vetti fellow :P