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.
Agencies
July 13,2020

New Delhi, Jul 13: Google CEO Sundar Pichai on Monday announced an investment of Rs 75,000 crore or approximately US$10 billion into India over the next five to seven years through 'Google for India Digistation Fund'.

This move is significant as it comes in the middle of the COVID-19 pandemic and as multinational companies across the world look at alternative investment destinations.

"Excited to announce Google for India Digitisation Fund. Through it, we will invest Rs 75,000 crore or approx US$10 Billon into India over the next 5-7 yrs. We'll do this through a mix of equity investments, partnerships and operational infrastructure in ecosystem investments," said Pichai.

Pichai along with Union Minister Ravi Shankar Prasad virtually attended the sixth annual edition of Google for India.

"This is a reflection of our confidence in the future of India and its digital economy," said Pichai.
He added that the investments will focus on four areas important to India's digitisation.

Listing out the areas, Pichai elaborated, "First enabling affordable access and information to every Indian in their own language. Second, building new products and services that are deeply relevant to India's unique needs. Third, empowering businesses as they continue or embark on the digital transformation. Fourth, leveraging technology in AI for social good in areas like health, education and agriculture."

"When I was young, every piece of technology brought new opportunities to learn and grow but I always had to wait for it to arrive from some places. Today people in India no more have to wait for technology to come to you. A whole new generation of technologies is happening in India first," said Pichai.

Earlier today Prime Minister Narendra Modi interacted with Pichai and discussed a range of subjects like a new work culture in coronavirus times, data security and cyber safety.

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
January 25,2020

Beijing, Jan 25: The death toll due to the novel coronavirus (2019-nCoV) outbreak in China has soared to 41, while the number of infected persons were 1,287, the National Health Commission said on Saturday.

The Commission said that 444 fresh cases were reported since Friday, with 237 patients in serious conditions, while 38 had been cured and discharged from hospitals, reports Efe news.

Health authorities have carried out check-ups on 15,197 people who have come into close contact with the infected persons. Nearly 14,000 of them continue to be monitored for symptoms.

The others cases outside of China were reported in France (two), Australia (one), Thailand (four including two cured), Japan (two including one cured), South Korea (two), the US (two), Vietnam (two), Singapore (three), Nepal (one), Hong Kong (five), Macao (two) and Taiwan (three).

The symptoms of the new coronavirus, provisionally designated by the World Health Organization as 2019-nCoV, are similar to those of cold but may be accompanied by fever and fatigue, dry cough and dyspnea (shortness of breath).

The WHO has so far to declared the outbreak as an international health emergency.

Strict measures were being carried out in China, which include complete suspension of transport in around a dozen cities in Hubei province and also cancelling Chinese New Year celebrations.

Traditional events at Lama Temple and Ditan Park in Beijing were cancelled due to the risk of spreading the virus, authorities reported Friday, while the famous Forbidden City has also been closed indefinitely.

Wuhan, the capital of Hubei, where the virus was first reported, has been on lockdown since Thursday to prevent further spread of the virus and the city's authorities have begun to build a "special hospital" with 1,000 beds for infected patients.

"Construction of the special hospital with a capacity of 1,000 beds for patients with #nCoV2019 has begun in Wuhan," official China Daily said on Twitter.

The hospital in Wuhan will be based on the model of a similar facility that was built in just seven days in Beijing to deal with SARS in 2003.

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 10,2020

Melbourne, Apr 10: Scientists have identified six drug candidates from more than 10,000 compounds that may help treat COVID-19.

The research, published in the journal Nature, tested the efficacy of approved drugs, drug candidates in clinical trials and other compounds.

"Currently there are no targeted therapeutics or effective treatment options for COVID-19," said Professor Luke Guddat from the University of Queensland in Australia.

"In order to rapidly discover lead compounds for clinical use, we initiated a programme of high-throughput drug screening, both in laboratories and also using the latest computer software to predict how different drugs bind to the virus," Guddat said.

The project targeted the main COVID-19 virus enzyme, known as the main protease or Mpro, which plays a pivotal role in mediating viral replication, the researchers said.

This makes it an attractive drug target for this virus, and as people don't naturally have this enzyme, compounds that target it are likely to have low toxicity, they said.

"We add the drugs directly to the enzyme or to cell cultures growing the virus and assess how much of each compound is required to stop the enzyme from working or to kill the virus. If the amount is small, then we have a promising compound for further studies," said Guddat.

After assaying thousands of drugs, researchers found of the six that appear to be effective in inhibiting the enzyme, one is of particular interest.

"We're particularly looking at several leads that have been subjected to clinical trials including for the prevention and treatment of various disorders such as cardiovascular diseases, arthritis, stroke, atherosclerosis and cancer," Guddat said.

Researchers said compounds that are already along the pipeline to drug discovery are preferred, as they can be further tested as antivirals at an accelerated rate compared to new drug leads that would have to go through this process from scratch.

"With continued and up-scaled efforts we are optimistic that new candidates can enter the COVID-19 drug discovery pipeline in the near future," Guddat said.

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.