American mathematicians solve Ramanujan's “deathbed” puzzle

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

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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.

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News Network
May 24,2020

Beijing, May 24: The Chinese virology institute in the city where COVID-19 first emerged has three live strains of bat coronavirus on-site, but none match the new contagion wreaking chaos across the world, its director has said.

Scientists think COVID-19 -- which first emerged in Wuhan and has killed some 340,000 people worldwide -- originated in bats and could have been transmitted to people via another mammal.

But the director of the Wuhan Institute of Virology told state broadcaster CGTN that claims made by US President Donald Trump and others that the virus could have leaked from the facility were "pure fabrication".

"Now we have three strains of live viruses... But their highest similarity to SARS-CoV-2 only reaches 79.8 percent," she said, referring to the coronavirus strain that causes COVID-19.

US demands immediate start to WHO review

The United States called on the World Health Organisation on Friday to begin working immediately on investigating the source of the novel coronavirus, as well as its handling of the response to the pandemic.

One of their research teams, led by Professor Shi Zhengli, has been researching bat coronaviruses since 2004 and focused on the "source tracing of SARS", the strain behind another virus outbreak nearly two decades ago.

"We know that the whole genome of SARS-CoV-2 is only 80 percent similar to that of SARS. It's an obvious difference," she said.

"So, in Professor Shi's past research, they didn't pay attention to such viruses which are less similar to the SARS virus."

Conspiracy rumours that the biosafety lab was involved in the outbreak swirled online for months before Trump and US Secretary of State Mike Pompeo brought the theory into the mainstream by claiming that there is evidence the pathogen came from the institute.

The lab has said it received samples of the then-unknown virus on December 30, determined the viral genome sequence on January 2 and submitted information on the pathogen to the WHO on January 11.

Wang said in the interview that before it received samples in December, their team had never "encountered, researched or kept the virus."

"In fact, like everyone else, we didn't even know the virus existed," she said. "How could it have leaked from our lab when we never had it?"

The World Health Organization said Washington had offered no evidence to support the "speculative" claims.

In an interview with Scientific American, Shi said the SARS-CoV-2 genome sequence did not match any of the bat coronaviruses her laboratory had previously collected and studied.

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News Network
March 4,2020

Tokyo, Mar 4: Takeda Pharmaceutical Co said on Wednesday it was developing a drug to treat COVID-19, the flu-like illness that has struck more than 90,000 people worldwide and killed over 3,000.

The Japanese drugmaker is working on a plasma-derived therapy to treat high-risk individuals infected with the new coronavirus and will share its plans with members of the U.S. Congress on Wednesday, it said in a statement.

Takeda is also studying whether its currently marketed and pipeline products may be effective treatments for infected patients.

"We will do all that we can to address the novel coronavirus threat...(and) are hopeful that we can expand the treatment options," Rajeev Venkayya, president of Takeda's vaccine business, said in the statement.

Takeda said it was in talks with various health and regulatory agencies and healthcare partners in the United States, Asia and Europe to move forward its research into the drug.

Its research requires access to the blood of people who have recovered from the respiratory disease or who have been vaccinated, once a vaccine is developed, Takeda said.

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News Network
June 9,2020

Washington, Jun 9: The defacement of Mahatma Gandhi's statue by unknown miscreants was a "disgrace", US President Donald Trump has said, days after it was vandalised with graffiti and spray painting during the nationwide protests against the custodial killing of African-American George Floyd.

The statue, which is across the road from the Indian Embassy, was vandalised on the intervening night of June 2 and 3, prompting the Indian embassy to register a complaint with the local law enforcement agencies.

The incident happened during the week of nationwide protests against the custodial killing of Floyd in Minneapolis on May 25.

"It was a disgrace," Trump made the brief comment at the White House on Monday when asked about the incident.

The Indian Embassy here has taken up the matter with the US Department of State for early investigation into the matter, as also with the Metropolitan Police and National Park Service.

It is working with the US Department of State, Metropolitan Police and National Park Service for expeditious restoration of the statue at the park.

The US president and First Lady Melania Trump, during their visit to India in February, had spent considerable time at the Gandhi Ashram in Ahmedabad. Prime Minister Narendra Modi had personally given them a tour of the historic place.

"The First Lady and I have just had a pleasure of visiting Mahatma Gandhi's Ashram, a few miles from here, where he launched the famous Salt March," Trump had said during his address at the Namaste Trump rally at the Motera Stadium in Ahmedabad on February 24. A day later, Trump and the first lady also laid a wreath at Raj Ghat in New Delhi.

Pictures of Trump and the first lady with Gandhi's spinning wheel during their visit to the Sabarmati Ashram in Ahmedabad are seen hanging on the walls of the White House.

Last week, top US lawmakers and the Trump Campaign condemned the vandalisation of the statue.

"Very disappointing," tweeted Kimberly Guilfoyle, advisor to Donald J Trump for President Inc. and National Chair of the Trump Victory Finance Committees.

North Carolina Senator Tom Tillis said, "It's disgraceful to see the defacing of the Gandhi statue" in Washington DC.

"Gandhi was a pioneer of peaceful protesting, demonstrating the great change it can bring. Rioting, looting and vandalising do not bring us together, he said.

Senator Marco Rubio said, "more evidence that violent radicals and run of the mill crazies have hijacked legitimate protests to create anarchy or for their own purposes."

Protests against the custodial killing of Floyd turned violent in the US and prestigious monuments were damaged. In Washington DC, protestors burnt a historic church and damaged monuments like the Lincoln Memorial.

US Ambassador to India Ken Juster apologised for the incident.

"So sorry to see the desecration of the Gandhi statue in Wash, DC. Please accept our sincere apologies," he said.

"Appalled as well by the horrific death of George Floyd and the awful violence and vandalism. We stand against prejudice & discrimination of any type. We will recover and be better," he said in a tweet last week.

One of the few statues of a foreign leader on a federal land in Washington DC, the statue of Gandhi was dedicated by former prime minister Atal Bihari Vajpayee in the presence of the then US president Bill Clinton on September 16, 2000, during his state visit to the US.

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