Monday, October 22, 2007

Life is a chaos !!!

Isn't it? Are you so worried about it? Your room... your cupboard... your desktop... you name it!

Anyways just an idea for the people who want to get rid of day-to-day chaos...

Chaotic behavior has been observed in the laboratory in a variety of systems including electrical circuits, lasers, oscillating chemical reactions, fluid dynamics, and mechanical and magneto-mechanical devices. Observations of chaotic behaviour in nature include the dynamics of satellites in the solar system, the time evolution of the magnetic field of celestial bodies, population growth in ecology, the dynamics of the action potentials in neurons, and molecular vibrations. Everyday examples of chaotic systems include weather and climate. There is some controversy over the existence of chaotic dynamics in the plate tectonics and in economics.

Anyways... this cannot be understood... So, here are some easy stuff...





Tuesday, October 9, 2007

The Mathematics of Love !

How about love? We try to understand love in various ways... the list it too big to mention here. What about a mathematical model for that? Will that help you to have a perfect family marriage life? If you want to have a "perfect" marriage life, please refer to the previous post :)

Now, how can mathematics help us understanding the truth about marriage? Thats interesting don't you think? Hell, I do think ! But there is this fundamental issue. For you to understand the model and get the benefit, first you'll have to do a PhD in Differential Equations. So, we'll let these experts to understand it and then explain it in plain English.

"We were able to derive a set of nonlinear difference equations for marital interaction as well as physiology and perception. These equations provided parameters, that allowed us to predict, with over 90 percent accuracy, what was going to happen to a relationship over a three-year period. The main advantage of the math modeling was that using these parameters, we are not only be able to predict, but now understand what people are doing when they affected one another. And through the equations we were now really able to build theory. That theory allows us to understand how to intervene and how to change things. And how to know what it is we're affecting, and why the interventions are effective. This is the mathematics of love. -THE MATHEMATICS OF LOVE [4.14.04]

Interesting?

Gödel's first incompleteness theorem

As humans, we all are incomplete. What ever we do, they all are incomplete. What ever we think, they all are incomplete. So, lets understand this and try to live the life in full before we die.

Do not wait for perfection... Do not wait for the perfect time... Do not wait for the perfect partner... simply because they all are incomplete... imperfect...

Lets accept this and move forward... Now is the best time for every thing.... We love to live in the past and dream about future... But why cant humans live in the present?

Just to give you an idea about this incompleteness, I'm quoting a theorem:


"For any consistent formal, computably enumerable theory that proves basic arithmetical truths, an arithmetical statement that is true, but not provable in the theory, can be constructed. That is, any effectively generated theory capable of expressing elementary arithmetic cannot be both consistent and complete." - Kurt Gödel

Ok. Let me quote the explanation for this (Wikipedia):

"Here, "theory" refers to an infinite set of statements, some of which are taken as true without proof (these are called axioms), and others (the theorems) that are taken as true because they are implied by the axioms. "Provable in the theory" means "derivable from the axioms and primitive notions of the theory, using standard first-order logic". A theory is "consistent" if it never proves a contradiction. "Can be constructed" means that some mechanical procedure exists which can construct the statement, given the axioms, primitives, and first order logic. "Elementary arithmetic" consists merely of addition and multiplication over the natural numbers. The resulting true but unprovable statement
is often referred to as "the Gödel sentence" for the theory, although there are infinitely many other statements in the theory that share with the Gödel sentence the property of being true but not provable from the theory."

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I - (mathematics + linux) = 0

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