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.

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News Network
June 24,2020

Washington, Jun 24: An Indian restaurant in the Sante Fe City of New Mexico, owned by a Sikh, was broken into and vandalised with hate messages scrawled on its walls, a media report said Tuesday.

The damage caused to India Palace restaurant is estimated to be worth USD 100,000, local Santa Fe Reporter said adding that the vandalisation is being investigated by local police and the FBI.

Sikh American Legal Defense and Education Fund (SALDEF) has condemned the incident.

"This kind of hate and violence is unacceptable and swift action must be taken to ensure the safety and security of all Americans," said Kiran Kaur Gill SALDEF executive director.

According to the local daily, tables were overturned, glassware was smashed into piles on the floor, wine racks were emptied, a statue of a goddess was beheaded and computers were stolen.

The vandals also turned over and destroyed food warmers while the front desk area was devastated, plates smashed and the kitchen rendered completely unusable, it said.

"I walked into the kitchen, I saw everything and I was like, hold on, what? What is going on here?" owner Baljit Singh told Santa Fe Reporter. "White power," "Trump 2020," "go home," and far worse were spray-painted on walls, doors, counters and any other available surface.

"Some phrases contained threats of violence and derogatory racial slurs," the daily said.

"Santa Fe is a peaceful town, and the Sikh community has lived here, beautifully integrated, since the 60s," said SALDEF board member Simran Singh, who lives minutes away from the restaurant.

"Tensions have flared recently with the reinvigoration of the Black Lives Matter movement and the removal of statues associated with Spanish colonisers of this area, who committed a number of atrocities," he said.

"Nevertheless, we are seeing an outpouring of love and support around the city and in my experience, our neighbors love and appreciate us, as we love and appreciate them," he added.

SALDEF said that it has seen an unprecedented rise in hate crimes including the April 29 incident wherein a Sikh American Lakhwant Singh was brutally attacked by a man identified as Eric Breeman in Lakewood, Colorado.

Lakhwant Singh was told to "go back to your country," while being attacked. No formal hate crime charges have been brought against the attacker.

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News Network
March 4,2020

Beijing/Zurich, Mar 4: China has approved the use of Swiss drugmaker Roche's anti-inflammation drug Actemra for patients who develop severe complications from the coronavirus as it urgently hunts for new ways to combat the deadly infection that is spreading worldwide.

China is hoping that some older drugs could stop severe cytokine release syndrome (CRS), or cytokine storms, an overreaction of the immune system which is considered a major factor behind catastrophic organ failure and death in some coronavirus patients.

Actemra, a biologic drug approved in 2010 in the United States for rheumatoid arthritis (RA), inhibits high Interleukin 6 (IL-6) protein levels that drive some inflammatory diseases.

China's National Health Commission said in treatment guidelines published online on Wednesday that Actemra can now be used to treat coronavirus patients with serious lung damage and high IL-6 levels.

Separately, researchers in the country are testing Actemra, known generically as tocilizumab, in a clinical trial expected to include 188 coronavirus patients and running until May 10.

Roche, which donated 14 million yuan ($2.02 million) worth of Actemra during February, said the trial was initiated independently by a third party with the aim of exploring the efficacy and safety of the drug in coronavirus patients with CRS.

It added that there was currently no published clinical trial data on the drug's safety or efficacy against the virus.

More than 3,000 people have died and 93,000 have been infected by the novel coronavirus thought to have originated in Wuhan, China, before spreading to around 90 countries including the United States, Italy, Switzerland, France and Germany.

The Swiss company, for which China is its No. 2 market behind the United States, also makes diagnostic gear to detect the coronavirus.

Since Actemra's approval a decade ago, it has become a go-to drug against other inflammatory conditions, including cytokine storms in cancer patients receiving cell therapies from Novartis and Gilead Sciences.

In 2012 it helped save the life of a young U.S. girl, the first child to be treated for leukaemia with Novatis' Kymriah, from a post-treatment rush of IL-6.

Priced at between $20-30,000 annually for RA according to SSR Health, Roche's medicine is also used for rare juvenile arthritis and giant cell arteritis, or inflammation of the blood vessels.

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News Network
June 2,2020

Jun 2: Pakistan's COVID-19 cases reached 76,398 on Tuesday after 3,938 new infections were reported across the country, while the death toll due to the coronavirus has gone up to 1,621, according to the health ministry.

The Ministry of National Health Services said that 78 COVID-19 deaths were recorded in the last 24 hours, taking the total number of fatalities in Pakistan to 1,621.

A total of 27, 110 people have recovered, it said.

Sindh has 29,647 patients, Punjab 27,850, Khyber-Pakhtunkhwa 10,485, Balochistan 4,514, Islamabad 2,893, Gilgit-Baltistan 738 and Pakistan-occupied Kashmir 271, it added.

The authorities have conducted 577,974 tests, including 16,548 in the last 24 hours.

The jump in the number of cases comes a day after Prime Minister Imran Khan said that people should learn to live with COVID-19 until a vaccine is developed.

Khan addressed the media after chairing the meeting of National Coordination Committee, the highest body to tackle the pandemic.

"Coronavirus will not go away until the vaccine is discovered. We need to learn to live with it and we can live with it if we follow precautions," he said.

He said the one million volunteers of the government's coronavirus force will raise awareness of the need to follow guidelines.

The government also said that all sectors will be opened slowly after deciding the negative list of businesses which will not be allowed.

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