American mathematicians solve Ramanujan's “deathbed” puzzle

[email protected] (The Hindu)
December 30, 2012

sr


London, December 30: American researchers claim to have solved a cryptic formula that renowned mathematician Srinivasa Ramanujan believed came to him in dreams while on his deathbed, the Daily Mail reported on Saturday.

The formula was contained in a letter he wrote to his mentor, the English mathematician G.H. Hardy, from his deathbed in 1920 outlining several new mathematical functions that had never been heard of before, together with a theory about how they worked. It had baffled mathematicians for more than 90 years, but new findings — presented at a conference at the University of Florida last month — reportedly show that Ramanujan's “hunch” about his formula was right — that it could explain the behaviour of black holes.

“We've solved the problems from his last mysterious letters,” said the well-known American mathematician Ken Ono of Emory University.

“For people who work in this area of math, the problem has been open for 90 years … Ramanujan's legacy, it turns out, is much more important than anything anyone would have guessed when Ramanujan died.”

He said the so-called “deathbed puzzle” which, according to Ramanujan, was revealed to him by the goddess Namagiri, may unlock secrets about black holes. “We proved that Ramanujan was right. We found the formula explaining one of the visions that he believed came from his goddess. No one was talking about black holes back in the 1920s when Ramanujan first came up with mock modular forms, and yet, his work may unlock secrets about them,” said Professor Ono.

The Mail said that Ramanujan's letter described several new functions that behaved differently from known theta functions, or modular forms, and yet closely mimicked them.

“Functions are equations that can be drawn as graphs on an axis, like a sine wave, and produce an output when computed for any chosen input or value. Ramanujan conjectured that his mock modular forms corresponded to the ordinary modular forms earlier identified by Carl Jacobi, and that both would wind up with similar outputs for roots of 1,” it said. Nobody at the time understood what the Indian mathematical genius was talking about.

“It wasn't until 2002, through the work of Sander Zwegers, that we had a description of the functions that Ramanujan was writing about in 1920,” Prof. Ono said.

His team, which used modern mathematical tools to solve the puzzle, was “stunned” to find the function could be used even today.

Comments

Add new comment

  • Coastaldigest.com reserves the right to delete or block any comments.
  • Coastaldigset.com is not responsible for its readers’ comments.
  • Comments that are abusive, incendiary or irrelevant are strictly prohibited.
  • Please use a genuine email ID and provide your name to avoid reject.
News Network
April 22,2020

London, Apr 22: The UK government on Tuesday announced a 20 million pounds funding for a University of Oxford project working on developing a vaccine against the novel coronavirus, which is now ready for acceleration as it begins human trials from Thursday.

UK Health Secretary Matt Hancock told the daily Downing Street briefing that the Department for Health was “throwing everything” at trying to find a vaccine because it is a critical aspect of the COVID-19 pandemic fight and lifting the strict lockdown measures in place to curb its spread.

Another 22.5 million pounds is being made available to Imperial College London to support its phase-two clinical trials for them to begin the work on a very large phase three trial.

"Normally it would take years to get to this point," said Hancock.

"The UK is at the forefront of the global effort – we've put in more money than any other into the global search for a vaccine. Nothing about this is inevitable. Vaccine production is a matter of trial and error. But the UK will throw everything it has at trying to find one,” he said.

The announcement came as Britain had another major daily leap in the hospital death toll from coronavirus, up by 823 to hit 17,337 on Tuesday.

But the Cabinet minister said the government's plan to control the rapid spread of the virus and prevent the state-funded National Health Service (NHS) from being overwhelmed is working as the number of hospitalisations with COVID-19 was showing a downward trajectory.

In reference to a major issue in the last few weeks of a critical shortage of personal protective equipment (PPE) for doctors and nurses on the frontlines of COVID-19 treatment, the minister said the supply problems are being addressed by actively engaging with thousands of companies, including 159 UK manufacturers.

“We are determined to get people the PPE they need. This is a 24/7 operation, one of the biggest cross-government operation I have ever seen," said Hancock.

Comments

Add new comment

  • Coastaldigest.com reserves the right to delete or block any comments.
  • Coastaldigset.com is not responsible for its readers’ comments.
  • Comments that are abusive, incendiary or irrelevant are strictly prohibited.
  • Please use a genuine email ID and provide your name to avoid reject.
News Network
June 17,2020

Beijing, Jun 17: China said Wednesday it wanted to avoid further clashes with India along their border after the first deadly confrontation between the two nuclear powers in decades.

The two countries have traded blame for Monday's high-altitude brawl that left at least 20 Indian soldiers dead, with China refusing to confirm so far whether there were any casualties on its side.

Chinese foreign ministry spokesman Zhao Lijian insisted again Wednesday that it was Indian troops who illegally crossed the border and attacked the Chinese side.

This led to "a serious physical confrontation between both sides that caused deaths and injuries", Zhao said at a regular briefing, without providing more details about the casualties.

He said China urges India to "strictly restrain frontline troops, do not illegally cross the border, do not make provocative gestures, do not take any unilateral actions that will complicate the border situation".

But he added that the two sides "will continue to resolve this issue through dialogue and negotiations".

"We of course don't wish to see more clashes," Zhao said.

Comments

Indian baba
 - 
Wednesday, 17 Jun 2020

we have 56 inch chest man as our leader...he alone will fight the war and give victory to india..jai bakth

 

 

Add new comment

  • Coastaldigest.com reserves the right to delete or block any comments.
  • Coastaldigset.com is not responsible for its readers’ comments.
  • Comments that are abusive, incendiary or irrelevant are strictly prohibited.
  • Please use a genuine email ID and provide your name to avoid reject.
Agencies
July 15,2020

Huawei will be completely removed from the UK's 5G networks by the end of 2027, the UK government announced on Tuesday after a review by the country's National Cyber Security Centre (NCSC) on the impact of US sanctions against the Chinese telecommunications giant.

In the lead up to this complete removal of all Huawei kit from UK networks, there will be a total ban on the purchase of any new 5G kit after December 31, 2020.

The decision was taken at a meeting of the UK's National Security Council (NSC) chaired by Prime Minister Boris Johnson, in response to new US sanctions against the telecom major imposed in May which removed the firm's access to products which have been built based on US semiconductor technology.

5G will be transformative for our country, but only if we have confidence in the security and resilience of the infrastructure it is built upon, said Oliver Dowden, UK Secretary of State for Digital, Culture, Media and Sport (DCMS).

Following US sanctions against Huawei and updated technical advice from our cyber experts, the government has decided it necessary to ban Huawei from our 5G networks. No new kit is to be added from January 2021, and UK 5G networks will be Huawei free by the end of 2027. This decisive move provides the industry with the clarity and certainty it needs to get on with delivering 5G across the UK, he said.

The minister, who laid out the details of the UK's ban on Huawei in the House of Commons, said the government will now seek to legislate with a new Telecoms Security Bill to put in place the powers necessary to implement the tough new telecoms security framework.

By the time of the next election (2024) we will have implemented in law an irreversible path for the complete removal of Huawei equipment from our 5G networks, said Dowden.

The new law will give the government the national security powers to impose these new controls on high risk vendors and create extensive security duties on network operators to drive up standards, DCMS said.

Technical experts at the NCSC reviewed the consequences of the US sanctions and concluded that Huawei will need to do a major reconfiguration of its supply chain as it will no longer have access to the technology on which it currently relies and there are no alternatives which we have sufficient confidence in.

They found the new restrictions make it impossible to continue to guarantee the security of Huawei equipment in the future.

After a ban on the purchase of new Huawei kit for 5G from next year, the aim is to completely remove the Chinese vendor's influence on 5G networks across the UK by the end of 2027.

The DCMS said Tuesday's decision takes into account the UK's specific national circumstances and how the risks from these sanctions are manifested in the country.

The existing restrictions on Huawei in sensitive and critical parts of the network remain in place, it highlighted.

The DCMS said the US action also affects Huawei products used in the UK's full fibre broadband networks. However, the UK has managed Huawei's presence in the UK's fixed access networks since 2005 and we also need to avoid a situation where broadband operators are reliant on a single supplier for their equipment.

As a result, following security advice from experts, DCMS is advising full fibre operators to transition away from purchasing new Huawei equipment. A technical consultation will determine the transition timetable, but it is expect this period to last no longer than two years.

The government said its new approach strikes the right balance by recognising full fibre's established presence and supporting the connections that the public relies on, while fully addressing the security concerns.

It stressed that its new policy in relation to high risk vendors has not been designed around one company, one country or one threat but as an enduring and flexible policy that will enable the UK to manage the risks to the network, now and in the future.

Comments

Add new comment

  • Coastaldigest.com reserves the right to delete or block any comments.
  • Coastaldigset.com is not responsible for its readers’ comments.
  • Comments that are abusive, incendiary or irrelevant are strictly prohibited.
  • Please use a genuine email ID and provide your name to avoid reject.