Monday, September 15, 2008

MILLION DOLLAR QUESTION

Yes, that’s true. If you solve this puzzle you get cool $1,000,000!! That is only the prize money, without considering the perks and fame that will come with it. You will be as famous as some Mr. Einstein or Mr. Newton. History will remember you as the person who solved a 150 year problem!!!


Yep, that’s right too!! It’s a 150 year old problem. For 150 years the best minds of the world tried to solve this problem and came up short. The great minds were convinced that a solution to this problem exists but were unable to find it. Even taking the aid of high performance computers couldn’t help the matter. Now, you must be thinking-“what the big deal about a damn puzzle!!”. Well, to answer that you have to understand the puzzle.

Let get introduced to the hardest unsolved problem in mathematics since 1859---“REIMANN HYPOTHESIS”.

And yes, I didn’t forget about the $1 million. Boston Clay Mathematics Institute declared in 2000 a list of 7 unsolved problem of mathematics. For each problem $1 million was announced as prize money. Since then 6 problems have been solved and the 7th and the most important one is still waiting.
In 1859, Bernard Reimann published his eight page article where he discussed this idea. It’s about prime numbers. So, let’s dig into the problem.
Prime numbers are type of numbers which can be divided only by 1 and itself. The series of prime numbers look like this.
1,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73…and so on.
You can clearly see it. It is NOT a series. There is no sequence in the numbers. We can’t say what will be the number next to 59 without calculating individually each number. To make my point clear consider the following series, which is actually a series.
1,4,9,16,25,36,49,64,81,100,121,144,169,__.
We can see the sequence and we can also deduce the last number, it is 196. For the mathematically challenged people the series is simply the square values of natural numbers i.e. 1, 2, 3, 4, 5…and so on. We can even say what will the 500th number of the series without checking the in between numbers. By this definition the prime numbers do not constitute a series. It’s too haphazard.
But it is also mathematics. Mathematics can’t be haphazard. There must be a method in madness. People (not normal people, mathematicians I mean) tried and failed to find a formula of prime numbers. In a desperate attempt to find any resemblance of order they tried to find the occurrences of prime numbers. See for yourself.
In 1 to 10 there are 4 prime numbers, which means 40%, so there should be 40 prime numbers in between 1 to 100, but there are 25 actually i.e. 25%. In case of less than 1000 it is 168 or 16.8%.
And between 9999901 to 10000000 it is just 9. The next 100 contains just 2. This was a total chaos.
But, there are some who do not conform to the norms. They think in their own way using their own logic. We call them genius.
One such genius was Leonardo Eular. This guy found an order where seemingly everyone had failed. What he showed was not only remarkable was incredibly easy too.

1+ 1/2^2 +1/3^2 +1/4^2 +1/5^2 +⋯=2^2/(2^2-1)*3^2/(3^2-1)*5^2/(5^2-1)*7^2/(7^2-1)*…

It was really wonderful. On the left hand side was natural numbers like 1, 2, 3, 4…..and on the right side was the prime numbers 2, 3, 5, 7…..
There was an order here. It was a start, but wasn’t an end. This equation was developed further and it was proved that the power of the numbers is not only limited to 2. It can be raised further i.e. the following equation will also hold true
1+ 1/2^3 +1/3^3 +1/4^3 +1/5^3 +⋯=2^3/(2^3-1)*3^3/(3^3-1)*5^3/(5^3-1)*7^3/(7^3-1)*…

and also if the power is 4, 5, 6 anything.

Now, the stage was set for Mr. Reimann to appear and did so in style. He developed the equation one more step and proved that the power of the numbers is not only limited to natural numbers, it can be complex numbers too i.e. the equation will hold true even if the power is a complex number.

Complex numbers are numbers which are created using rational and √-1. √-1 is square root of -1 which is an imaginary number.
Now, the question that naturally arises is that WHY THE HELL DID HE USED COMPLEX NUMBER????
Well, the answer to this question is the topic we started on. Reimann kept on developing the equation and discovered this


1+ 1/2^(0.5+7√-1) +1/3^(0.5+7√-1) +1/4^(0.5+7√-1) +1/5^(0.5+7√-1) +⋯=0


The most important aspect of this equation is that the co-efficient of √-1, which is 7 here, is of NO IMPORTANCE.
Yes, you read it right. It is of no importance as long as the first rational part is 0.5. You can change the co-efficient to anything you like, positive, negative, fraction, real anything, it doesn’t matter.
So, this is also same as the above.
1+ 1/2^(0.5+3√-1) +1/3^(0.5+3√-1) +1/4^(0.5+3√-1) +1/5^(0.5+3√-1) +⋯=0


This is Reimann Hypothesis. But it is never going to be possible to physically check every number imaginable to see if the equation works. Reimann said that the equation will be equal to zero if the rational part of the power is 0.5 and the co-efficient of the irrational part is any number. That was 1859.

150 years passed. So many other problems were solved using Reimann Hypothesis. They are proved as “if Reimann Hypothesis is true, then……”. So, if those answers are right then Reimann Hypothesis must also be true. But that doesn’t solve the problem. It has to be proved using mathematical logic and the quest still eludes the man. Solve it and the glory is yours. 1 Million dollars doesn’t hurt either!!

Thursday, September 11, 2008

Copyright=My Right To Copy?


I687, London:
The tall guy was sitting under a tree in a park; sipping tea and thinking about the inflation and the grocery bill. Suddenly something dropped on his head.
-Ouch!!
He looked upwards and discovered an apple tree and looked downwards and discovered gravity (figuratively speaking of course!).He published his findings in “Philosophiae Naturalis Principia Mathematica


2008, Kolkata:
I was sitting in my friend’s house, sipping tea and talking about joining date of TCS and music of “Rock On!!” and listing to Debankar’s guiter .Suddenly something dropped on my head. I looked up and discovered a disk of “Munnabhai MBBS ”. I looked down on the disk and discovered copyright.

Actually I didn’t discovered copyright; I discovered the disk was original. Now that’s a bit complicated, what the hell original disk means? Most of us go through life without seeing a single original disk of anything i.e. movie, software etc. And here in my hand was an original piece, written behind “buy original CD or DVD, kill piracy”.

I heard so many times on TV, radio that musicians are requesting people to buy music and save their livelihood. I also saw people saying copyright means my right to copy. I looked at my computer, it was starting up. The OS was pirated Windows XP. The anti-virus was pirated; most of the softwares I use are pirated. Almost all the songs that sit on my machines are copyrighted and haven’t paid anything for them. The movies I have watched till now were all pirated. Where that does leaves me? In fact everywhere I look I see rampant copyright violation. I tried to calculate the damage done to entertainment industry by me. It came to around 500 movies and so around 20000 bucks. I alone cost that much!!! That too without considering the songs or eBooks collections that I pride myself. I didn’t dare to calculate further.

Then something struck me. I never heard any musician or author (of course of modern times) dying of starvation. That obviously doesn’t mean anything. I decided to probe further. An audio CD costs around Rs.100. Which is not very cheap considering it contains around 8-10 songs all of which are not good, whereas one can download it for free. And there is not much difference between qualities. So the choice is between high priced over hyped products and free illegal materials. No prize for guessing the winner.

I remember about a particular incident. It was 19th July 2007, Harry Potter and deathly hallows was to come out 2 days later and I was already reading it in eBook format. When it finally came out I have finished it by then. Now, if I was author it would be terribly distressing to know that my creation wasn’t fetching me anything or will it be? It would also probably mean that people like my writing so much that they are willing to suffer damage to eyesight by staring to computer monitor to read a book!!!

Actually it is very difficult to find a solution. One possible solution could be to lower the prices of original pieces or maybe to make the quality of original pieces better so that copying them damages their quality.

Its no point crying over piracy, otherwise it wasn’t possible to listening songs or watching movie so much. So, keep on doing whatever you do, just be careful to avoid using traceable downloads. CHEERS!!!

Wednesday, September 3, 2008

Browsing browsers-part II

Continuing from where I left earlier.

http://atanucybermidasblog.blogspot.com/2008/04/browsing-browsers.html

The times couldn't have been more exciting for net-addicted people like me;two new browsers are soon going to be launched and their beta versions are already available.

First,the old and much abused Internet Explorer is coming out with IE8.Its simply amazing to think how a once great corporation can come out with a worse version and declare it a new version.This happened with IE7;it was worse than IE6.Maybe it was more secure or things like that but its speed was awful.Hope that IE8 fares better.


Second and most important is Google Chrome.The product from the stable of the undisputed rulers of web world.I tried its beta version and its excellent.Its lightweight(takes very little resource) and slick.The only problem I can see is the customization options are very limited.Maybe it will be taken care of in the stable version.


Anyway thst was just to keep this blog alive.When the two browsers come out with their stable version I will write about them.

Friday, July 4, 2008

SOme Questions

When I first started writing this blog,I thought I would steer clear of any political topics. But living in modern India and staying clear of politics is very difficult. The topic of this post came to me quite accidentally. I was doing my usual bit of useless surfing, when I came across some articles, ranging from recent to 50-60 years old. Thus came the topic. I don’t want to prove anything by raising these points. But just a nagging feeling.......hope you won’t feel discouraged.





CPI(M) is Indian's one of the few national parties. The following points are some questions raised from time to time against them.



1. Quit India Movement-1942

The communists were opposing the British rule with the rest of the country. Then USSR joined WWII in alliance with the British and asked the communists to support British rule. Overnight Indian communists turned from anti-British to pro-British. The CPI provided names and addresses of revolutionaries to the British. People were hanged. The CPI opposed the Quit India movement because the Soviets asked them to. Independence of India wasn't important to them.



2.1962 India-China war

This was probably the best example of Indian communist's mentality. China attacked India unprovoked and killed Indian soldiers. They also occupied Indian territory in Kashmir and NEFA (modern Arunachal Pradesh).Due to stupidity of Indian Prime Minister (J.L.Neheru) and Defense Minister (K.Menon) the Chinese could advance unchallenged. The communists who have earlier said "China's chairman is our chairman”, this time openly supported China. Jyoti Basu was quite vocal about his support to Chinese policy of "to teach India a lesson”. Communist Russia refused to help India ("India is our friend, but Red China is our brother").Finally US Air Force helped India to airlift Indian Army to the forward bases. The US applied massive pressure on Pakistan to not take advantage of the situation and attack India.



3.1998 Pokhran Nuclear experiment

As usual CPI (M) opposed India becoming a nuclear power. Being a democracy they have full right to oppose anything they dislike. But the point is that, the reasons shown by them were exactly the same as the reasons shown by China in opposing the nuclear experiment. CPI(M) is not bothered about security or power of India, they are only bothered about China.



4.As Pakistan is a Chinese ally CPI(M) very rarely say anything against Pakistan. In fact they never say anything against Pakistan sponsored terrorism in India.



5. Today,

China endeavors to keep India out as an economic competitor. They encourage and command the CPI-M to oppose reform in India, and the CPI-M complies. Yechuri recently went to China (from Xinhua) and came back basically saying FDI was not the way (I'll find a link to this - it was in multiple papers) - ironic given China's own FDI-heavy approach. They oppose the same Multinationals in India that China welcomes with open arms.


Not only these, every time the communists oppose something they give same reasons as the Chinese do.



In such circumstances it will be better if the Communist Party of India changes its name to Communist Party of China based in India.




I am waiting for your comments.

Tuesday, April 8, 2008

Browsing browsers

Last month have been hectic for me.I blogged too much,surfed too much,watched too much movie,slept too much.Now I am out of ideas. So, I thought why not use the things that wasted my time that much.So, I am going to write about the browsers that I discovered during this period.
First I must give the specifications of my machine.
Its a 6 year old P4,192M
B RAM,40 GB HDD computer running Windows Xp SP2.And being true to a guy mentality I am going to compare them with girls.

Lets start with the default browser.
Internet Explorer 6

Its the default browser of Windows.Much abused and the last fall back.Its like house maid.They are inefficient,security threat,lazy,a burden but very strong.Any user knows IE6 can and will probably break down at every inopportune moment,but they are indispensable.Not much to write about it.77% of user use it.Its steadily declining though,from 95% in 2002.Still its the primary browser.Probably because most people donot bother to install another browser.They use what they get.So,be assured IE6 is not going to die soon.
http://en.wikipedia.org/wiki/Internet_Explorer_6.0

Internet Explorer 7

I don't know what possessed Microsoft to make this Dinosaur.Its like a good looking and lazier maid.Thats all.Its security is better(they claim,you won't understand it).Speed is slow definitely,despite whatever they say.In short.it is worse than IE6.
http://en.wikipedia.org/wiki/Internet_Explorer_7






SAFARI

One of my best friends put it best.Safari is like a good looking girl on your way who deserves a second look.Nothing more.Its fabulously good looking.Pretty fast,efficient.The new version is stable and most importantly it comes from stable of Apple.So,service is going to be excellent.Still it doesn't score much with me.Why?Simply because it is not much customizable.Just some limited options.You can't bend it to your will.After all,every beautiful woman can't be a good partner.
http://en.wikipedia.org/wiki/Safari_browser


OPERA

This one is the most beautiful,gorgeous,stylish and efficient.In other words.....perfect.Its has innumerable features,faster than most,excellent service,breathtakingly beautiful.It has inbuilt torrent tracker,downloader,voice identifying property,256 bit encryption for security and what not.No other browser has so much features and so much efficient.It only has one small problem,Orkut doesn't load very fast.And most of the sites cant keep up with its security features.So,you have to keep them disable mostly.Debankar,the great computer-wizard,put it best(again,as usual) its only good for some extra marital(surfing) affairs.But if you can keep up with it,go ahead.Its the best.
http://en.wikipedia.org/wiki/Opera_%28web_browser%29



FLOCK


This thing scores where Opera can't.Its a social networking web-browser(never heard about them,may be they will come up with a youtube viewing web browser next).Its pretty useless.Yes,thats right.Its useless,unless you happen to be that type of person who have 300 friends on on net and remains 10 hours online a day.It uploads pictures fast and some necessary accessories for social networking sites.My advice:you can definitely try it.you have nothing to lose.Oh,I forgot.Its basically a modified Firefox.
http://en.wikipedia.org/wiki/Flock_%28web_browser%29



MOZILLA FIREFOX


Its the best if you are ready to change.Biggest competitor of IE.Its interface is easy.totally flexible.Its freeware,so you can develop new add-ons for it.Its fast,efficient,flexible,doesn't grumble much.With add-ons it can be made to look beautiful.Moreover its quite homely.Everything a wife should be.Its got 17% users using it and its growing.The biggest strength lies it in flexibility.You can do whatever you want to do with it.The only problem is that it takes ages to start and sometimes it just crashes.Otherwise an excellent choice.My personal favorite.
http://en.wikipedia.org/wiki/Mozilla_Firefox

Thursday, April 3, 2008

Girlfriends

I was thinking about writing about this for a long time. It is about those friends who are girl but not girlfriends. I have been blessed enough to have such terrific friends that it would be gross injustice to not to write about them.

The first thing that sprang to mind is “impossible”. Yes, they are indeed so. Impossible and unreasonable. And nice enough to make you bend to their weird wills and impossible demands.

But, well, world would not have been same without these impossible and unreasonable women. Life not only would have been dull but difficult too. Just imagine a day with no one to irritate or no one to chew brains and most importantly, no one to pour your heart out.

Yes, these are the friends who will be the first to find your fault and the last to criticize you. They will get irritated by your skirt-chasing and then will point out the better ones. First to console in your grief and first to rejoice your happiness. Encouraging you to go on despite failure and always keeping faith on you even when you yourself do not. Most importantly, they will make you realize that you don’t need to be perfect.

On the other hand you will have to face their sudden mood-swings, very weird sense of humor (the most inappropriate things seems funny to them). At times, they can be more difficult than babies, refusing to heed anything.

But still, they are those great friends whom you can trust with your life and come out alive too, a great blessing in the competition-centric world of today. If you don’t have such a girl friend you will probably never understand what I mean. And if you have one……………………..well…………..I don’t need to explain anything then.

Waiting for your responses to this topic. I really want to know what you think about it and especially girls view-point.

Wednesday, April 2, 2008

My fables

Once upon a time a man was walking on a road beside a pond in a deserted forest.Suddenly a frog called upon him "kiss me and I will transform into a beautiful princess".

The man turned around and looked at the frog.He couldn't believe his eyes.The frog again said "Please kiss me and make me a beautiful princess".

The man came forward and took the frog in his hand.then he stuffed it in his pocket and started walking.The frog cried out from his pocket"aren't you going to kiss me?"

The man replied
"I am an engineer.I don't have time for a girlfriend,but a talking frog is cool".

Engineers are like this.So, girls please beware of them.In any case he can easily leave you for a Intel Quad-core Macbook pro.You can never hope to match its performance.