Ramanujan's Equation Unlocked After 90 Years..

[summer27]

ee link lo reader's comments kooda sadavandi..

[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html"]http://news.yahoo.co...-171554694.html[/url]


[b] Mathematician's Century-Old Secrets Unlocked[/b]
[color=#000000][font=arial, helvetica, clean, sans-serif][size=3]By Live Science Staff | LiveScience.com – 10 hrs ago[/size][/font][/color]


While on his death bed, the brilliant Indian mathematician[color=#366388]Srinivasa Ramanujan[/color] cryptically wrote down functions he said came to him in dreams, with a hunch about how they behaved. Now 100 years later, researchers say they've proved he was right.
[font=Georgia, Times,][size=4]"We've solved the problems from his last mysterious letters. For people who work in this area of math, the problem has been open for 90 years," Emory University mathematician [color=#366388]Ken Ono[/color] said.
Ramanujan, a self-taught mathematician born in a rural village in South India, spent so much time thinking about math that he flunked out of college in India twice, Ono said.
But he sent mathematicians letters describing his work, and one of the most preeminent ones, English mathematician G. H. Hardy, recognized the Indian boy's genius and invited him to Cambridge University in England to study. While there, Ramanujan published more than 30 papers and was inducted into the Royal Society.
"For a brief window of time, five years, he lit the world of math on fire," Ono told LiveScience.
But the cold weather eventually weakened Ramanujan's health, and when he was dying, he went home to India.
It was on his deathbed in 1920 that he described mysterious functions that mimicked theta functions, or modular forms, in a letter to Hardy. Like trigonometric functions such as sine and cosine, theta functions have a repeating pattern, but the pattern is much more complex and subtle than a simple sine curve. Theta functions are also "super-symmetric," meaning that if a specific type of mathematical function called a Moebius transformation is applied to the functions, they turn into themselves. Because they are so symmetric these [color=#366388]theta functions[/color] are useful in many types of mathematics and physics, including string theory.



Ramanujan believed that 17 new functions he discovered were "mock modular forms" that looked like theta functions when written out as an infinte sum (their coefficients get large in the same way), but weren't super-symmetric. Ramanujan, a devout Hindu, thought these patterns were revealed to him by the goddess Namagiri.
Ramanujan died before he could prove his hunch. But more than 90 years later, Ono and his team proved that these functions indeed mimicked modular forms, but don't share their defining characteristics, such as super-symmetry.
The expansion of mock modular forms helps physicists compute the entropy, or level of disorder, of [url="http://www.space.com/15421-black-holes-facts-formation-discovery-sdcmp.html"]black holes.
In developing mock modular forms, Ramanujan was decades ahead of his time, Ono said; mathematicians only figured out which branch of math these equations belonged to in 2002.
"Ramanujan's legacy, it turns out, is much more important than anything anyone would have guessed when Ramanujan died," Ono said.
The findings were presented last month at the Ramanujan 125 conference at the University of Florida, ahead of the 125th anniversary of the mathematician's birth on Dec. 22.[/size][/font]

[Power Star]

[dalapathi]

morning vesinaa

[simha2727]

[manchibaludu]

Dude, what the hell...you think everyone is like you, monitoring each and every thread that is posted here.
There are people out there like me who comes and visit AW once in a while and who are happy to see these kind of news rather than crap Masala and Heroine threads.
So, please don't discourage people...

[PMREDDY19]

Ramanujan ..

Asalu last days lo chala vishayalu letters lo convey chesdannamata..

[fake_Bezawada]

superb thread

[summer27]

Posting few comments from readers of this article on Yahoo... (comments ichina vallu andaru videseeyule)

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[i]144[/i]users liked this comment[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Up[/url][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Down[/url][i]2[/i]users disliked this comment[url="http://profile.yahoo.com/7NL32ZLKHPR6UJBUGNXWKJGOBQ"][b]Thinker[/b][/url] [color=#9B9B9B][size=5] • [/size][/color] [color=#7E7E7E]10 hrs ago[/color][indent]For years they weren't even sure if these equations were real math or just something that looked like math. Nobody understood them.[/indent][/size][/font][/color]


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[url=""][img]http://l1.yimg.com/a/i/identity2/profile_48d.png[/img][/url][/size][/font][/color][color=#000000][font=arial, helvetica, clean, sans-serif][size=3]

[i]170[/i]users liked this comment[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Up[/url][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Down[/url][i]4[/i]users disliked this comment[url="http://profile.yahoo.com/N53XIUVXPBDWBKBMUFYAJ4I7A4"][b]Robert G. Ingersoll[/b][/url] [color=#9B9B9B][size=5] • [/size][/color] [color=#7E7E7E]10 hrs ago[/color][indent]I have read Ramanujan's work and I am sure that he was aware of the Rogers' Identities.

How anyone could have done what he did with partitions, the prime number theorem, continued fractions, modular forms, and combinatorial number theory in general is simply amazing to me.

Hardy and Littlewood were no slouches - they were regarded as the best mathematicians in England and among the best number theorists in the world. Hardy ranked Ramanujan higher than both of them.

Ramanujan's work exhibits the leaps of logic that are the hallmark of rare true genius. Even in the cases in which he guessed wrong it is just incredible how anyone could have guessed at anything like it all.[/indent][indent]

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[i]282[/i]users liked this comment[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Up[/url][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Down[/url][i]11[/i]users disliked this comment[/color][url="http://profile.yahoo.com/Z4LRS2CUTMJTRR7HW7MO5LYHVY"][b]Walking Tall[/b][/url] [color=#9B9B9B][size=5] • [/size][/color] [color=#7E7E7E]10 hrs ago[/color][indent]What Einstein was to theoretical physics, Ramanujan was to theoretical mathematics. He was beyond brilliant, a mind so capable of understanding the most complex mathematical theories that it was all child's play to him. And, as mentioned in the article, he had absolutely no formal mathematical training. Whatever problem he encountered, the solution just came to him. Kind of like Will in Good Will Hunting; he instantly knew the solution. If he had been born white instead of Indian, chances are he would have lived a much longer life because the quarters he was given to live in at Cambridge wasn't fit to live in. 90 years later and mathematicians are still trying to understand him; kind of like with Einstein.[/indent][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]50 Replies[/url][/indent][/size][/font][/color]

[summer27]

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[i]13[/i]users liked this comment[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Up[/url][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Down[/url][i]0[/i]users disliked this comment[url="http://profile.yahoo.com/3D3GHFDDLBTNMYGRUA7QAZQOHU"][b]Arnold[/b][/url] [color=#9B9B9B][size=5] • [/size][/color] [color=#7E7E7E]9 hrs ago[/color][indent]It's amazing that on the spectrum of mathematical capabilities, Ramnujan was off the scale. Hardy once told how they were riding in a cab and Ramanujan remarked that the number on a license plate that just passed them was very interesting. Hardy asked him why, and Ramanujan replied something to the effect that it was the smallest number that could be formed by two squares less than 128 whose sum was divisible by 17(I don't remember the exact quote, but it was something along those lines). Hardy couldn't believe that Ramanujan could figure this out correctly within moments of seeing the number go by, but, when he got home, he checked and Ramanujan was right! These kinds of mental capabilities are still, to this day, completely incomprehensible to medical researchers, even after years of testing and experimenting to try and find out why this happens only in certain people.[/indent]
[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]8 Replies[/url]


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[i]8[/i]users liked this comment[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Up[/url][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]Please sign in to rate a Thumb Down[/url][i]0[/i]users disliked this comment[url="http://profile.yahoo.com/7XP2PXKTDXVRQAB6CLVPNYBYZA"][b]Ssssssh![/b][/url] [color=#9B9B9B][size=5] • [/size][/color] [color=#7E7E7E]9 hrs ago[/color][indent]A self taught mathematician did this. Goodness. Where did our schools go wrong?[/indent]
[url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]2 Replies[/url]

[url="http://profile.yahoo.com/LZMVI3KKAF4F4P6XDV2SUT2AV4"][b]Independent[/b][/url] [color=#9B9B9B][size=5] • [/size][/color] [color=#7E7E7E]8 hrs ago[/color][indent]90 years to prove his theories right ?! I'm thinking he was more than decades ahead of his time ! Just as einstein , what would they have accomplished if they had been alive today ![/indent][url="http://news.yahoo.com/mathematicians-century-old-secrets-unlocked-171554694.html#"]4 Replies[/url]
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[chelsea]

nice

[GallaLungi]

GOOD ONE