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
February 14,2020

London, Feb 14: Five years ago Britain’s new finance minister Rishi Sunak wasn’t even a member of parliament and now he is running the world's fifth largest economy.

The 39-year-old former Goldman Sachs banker was appointed in dramatic fashion on Thursday when incumbent Sajid Javid unexpectedly quit — in a row over advisers — during what Downing Street had cast as a routine ministerial reshuffle.

Sunak is married to the daughter of Infosys co-founder NR Narayana Murthy, and was hand-picked to take over an ultra-safe seat in northern England, previously represented by former Conservative Party leader William Hague. The Murthy family was not reachable for comment.

In July, when he was promoted chief secretary to the Treasury, Murthy had said: “Our advice to our children, including Rishi, has been to work hard, be honest, and do good for society…We wish him well.”

After Thursday’s announcement, Sunak said: “Delighted to be appointed... Lots to get on with.”

Tipped for Promotion

As Boris Johnson moves to increase control of the finance ministry, one of the youngest chancellors in history will face a prime minister who wants to increase government spending on everything from infrastructure and police to health and education.

Sunak, seen as a rising star in the ruling Conservative Party since he entered Parliament in 2015, had been tipped for promotion to a senior post in the ministerial rejig as Johnson put together his post-Brexit cabinet.

But, despite an already rapid ascent through the ranks of government, few expected the Oxford University Politics, Philosophy and Economics graduate to ascend to one of the highest offices in the land.

Sunak had been serving as Javid’s deputy in the finance ministry since Johnson promoted him upon taking office in July 2019. Prior to that he had served as a junior housing minister.

“From working in my mum’s tiny chemist shop to my experience building large businesses, I have seen first-hand how politicians should support free enterprise and innovation to ensure our future prosperity,” Sunak says on his website.

Smooth and loyal

Seen as a smooth media performer and ultra-loyal member of the Conservative Party, Sunak has been used by the government to present and defend their policies in television interviews — a sign of trust from Johnson, who has a fraught relationship with Britain’s media.

Sunak takes control at a critical juncture for Britain’s $2.7 trillion economy. He will have to steer the economy through the turbulence of leaving the European Union and the forging of new trade links that will define Britain’s new relationship with the world.

However, the power struggle that forced his predecessor Javid to quit hints at a more diminished role for what is the second most powerful position in the government — with Johnson’s office wanting to centralise control and minimise dissent.

Sunak is one of the three ministers of Indian origin in Johnson’s cabinet, the other two being Priti Patel and Alok Sharma. Patel remains the interior minister after the cabinet reshuffle while Sharma, a former minister for international development, was appointed the new minister for business. Sunak’s father was a doctor and his mother ran a chemist shop. Before entering politics he worked for Goldman Sachs and a hedge fund, then co-founded an investment firm. He also has an MBA from Stanford University.

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Agencies
May 25,2020

The Japan government on Monday decided to lift the state of emergency for COVID-19 in Tokyo and four other prefectures of the country, the only places where the measure implemented to curb the pandemic had remained in force.

The lifting of the alert was backed by the coronavirus advisory panel and will be formally approved by the government later day, the economic revitalization minister and head of the working group to coordinate Japan's fight against COVID-19, Yasutoshi Nishimura, said.

The Japanese authorities made the decision after taking into account the number of infections and the situation of the health system in Tokyo, the three neighbouring prefectures of Chiba, Kanagawa and Saitama and the northern Hokkaido, the only ones where the state of emergency declared more than a month ago to control the pandemic remained in effect, reports Efe news.

The health alert was initially declared in Tokyo and six other prefectures on April 17 and subsequently extended across the country.

It allowed local authorities to ban large-scale public events and close bars and restaurants at night, among other measures, while the government has launched a campaign to encourage teleworking and staying at home.

The government resorted to this measure for the first time in the country's recent history to contain the spread of the virus and is now withdrawing it after a sustained slowdown in infections throughout the archipelago, where around 16,600 confirmed COVID-19 cases and 839 deaths have been recorded, according to the latest data.

The group of experts advising the government appreciated the efforts made by citizens to comply with the recommendations to achieve the target of reducing interpersonal contact by 80 percent, top government spokesperson Yoshihide Suga said at a press conference on Monday.

The recommendation for citizens to avoid unnecessary trips outside and the request for non-essential businesses to close were not mandatory nor accompanied by fines or other penalties for non-compliance, unlike the stricter containment measures implemented in other countries.

The government plans to formally approve the lifting of the state of emergency on Monday after consulting with other political parties in parliament and another meeting with the advisory panel, following which Japanese Prime Minister Shinzo Abe will hold a press conference.

The government had already decided to lift the emergency in 39 prefectures on May 14 after they reported a marked decrease in the number of infections, leaving out the more populated regions such as Tokyo and Osaka.

To avoid new outbreaks of the virus, Abe has urged people to become accustomed to a "new lifestyle" that includes maintaining social distancing, the use of masks outside as well as a series of guidelines for the reopening of shops, restaurants and public facilities.

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News Network
June 1,2020

New Delhi, Jun 1: Actor Kendrick Sampson, who stars in HBO series Insecure, was struck by rubber bullets as Los Angeles police officers tried to disperse a crowd protesting George Floyd”s death in Minneapolis.

Floyd, a black man, died last Monday in Minneapolis, Minnesota after a white police officer pressed his knee on his neck for more than eight minutes. The officer was arrested on Friday and charged with third-degree murder.

The actor went live via Instagram on Saturday to show his view of events, but he could be also be seen on a CNN broadcast simultaneously, with viewers watching him get hit by a police baton on TV.

Sampson posted several videos on his page of a large demonstration at Pan Pacific Park near the city”s Fairfax District, where violent clashes took place throughout the day outside the Grove shopping center.

In one video, LAPD officers can be seen firing rubber bullets to try and regain control at the park.

“They shot me four times already. I already got hurt and I got hit with a baton,” Sampson said in the video on Instagram.

Another clip showed him moving away from the police, as he appeared to be hit by an officer”s baton.

“Y”all ain”t see no police f*****g up white folks when they took guns to the statehouse,” he said, referring to an incident in Michigan over coronavirus restrictions, not in California. “Y”all didn”t see police attacking white folks, beating em up with batons, shooting them with rubber bullets when they brought guns to f*****g state houses. We came up here with no weapons, with masks.… And we”re the ones who are not peaceful,” Sampson alleged.

Protests turned violent over Floyd”s death and other police killings of black people spread Saturday in dozens of US cities, with police cars set ablaze, reports of injuries mounting on all sides, shops and showrooms vandalised amid the lockdown.

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