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
January 3,2020

Islamabad, Jan 3: The United Arab Emirates has extended USD 200 million aid to Pakistan for the development of the small and medium-sized enterprises in the country, Finance Adviser to Prime Minister Imran Khan said.

The announcement came after Abu Dhabi Crown Prince Sheikh Mohamed Bin Zayed Al Nahyan concluded his one-day visit to the country on Thursday.

"The money will be spent on small business promotion and jobs. This support is testimony to the expanding economic relations and friendship between our countries," the adviser, Abdul Hafeez Shaikh, on Thursday said.

The Crown Prince directed the Khalifa Fund for Enterprise Development to allocate USD 200 million in order to assist the Pakistani government's efforts to create a stable and balanced national economy that will help achieve the country's sustainable development, Dawn News reported on Friday.

During the visit, the prince met Prime Minister Khan and held talks on bilateral, regional and international issues.

The UAE is Pakistan's largest trading partner in the Middle East and a major source of investments. The UAE is also among Pakistan's prime development partners in education, health and energy sectors.

It hosts more than 1.6 million expatriate Pakistani community, which contributes remittances of around USD 4.5 billion annually to the GDP.

This is the Crown Prince's second visit to Pakistan since Khan took office in August 2018. He had last visited Pakistan on January 6 last year, just weeks after his country offered USD 3 billion financial assistance to Pakistan to deal with its balance of payment crisis.

The Crown Prince's visit was considered by experts as an attempt to woo Pakistan against the backdrop of recent developments when Saudi Arabia and UAE apparently used pressure to stop Pakistan from attending the Kuala Lumpur summit held last month.

The summit from December 19-21 was seen by Saudis as an attempt to create a new bloc in the Muslim world that could become an alternative to the dysfunctional Organisation of Islamic Cooperation led by the Gulf Kingdom.

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News Network
June 1,2020

Jun 1: The new coronavirus is losing its potency and has become much less lethal, a senior Italian doctor said on Sunday.

"In reality, the virus clinically no longer exists in Italy," said Alberto Zangrillo, the head of the San Raffaele Hospital in Milan in the northern region of Lombardy, which has borne the brunt of Italy's coronavirus contagion.

"The swabs that were performed over the last 10 days showed a viral load in quantitative terms that was absolutely infinitesimal compared to the ones carried out a month or two months ago," he told RAI television.

Italy has the third-highest death toll in the world from COVID-19, with 33,415 people dying since the outbreak came to light on Feb. 21. It has the sixth-highest global tally of cases at 233,019.

However new infections and fatalities have fallen steadily in May and the country is unwinding some of the most rigid lockdown restrictions introduced anywhere on the continent.

Zangrillo said some experts were too alarmist about the prospect of a second wave of infections and politicians needed to take into account the new reality.

"We've got to get back to being a normal country," he said. "Someone has to take responsibility for terrorizing the country."

The government urged caution, saying it was far too soon to claim victory.

"Pending scientific evidence to support the thesis that the virus has disappeared ... I would invite those who say they are sure of it not to confuse Italians," Sandra Zampa, an undersecretary at the health ministry, said in a statement.

"We should instead invite Italians to maintain the maximum caution, maintain physical distancing, avoid large groups, to frequently wash their hands and to wear masks."

A second doctor from northern Italy told the national ANSA news agency that he was also seeing the coronavirus weaken. "The strength the virus had two months ago is not the same strength it has today," said Matteo Bassetti, head of the infectious diseases clinic at the San Martino hospital in the city of Genoa.

"It is clear that today the COVID-19 disease is different."

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News Network
March 24,2020

New Delhi, Mar 24: Reports of a person in China dying due to a virus called hantavirus have spread panic at a time when the world is battling the pandemic of novel coronavirus, which began in China.

The novel coronavirus has killed over 16,000 people around the world and the outbreak is yet to be brought under control.

This morning, hantavirus became one of the top trends on Twitter after the Chinese state media tweeted about one person in the country dying due the virus. However, it turns out, hantavirus is not a new virus and has been infecting humans for decades.

Global Times, a state-run English-language newspaper, wrote on Twitter on Tuesday, "A person from Yunnan Province died while on his way back to Shandong Province for work on a chartered bus on Monday. He was tested positive for hantavirus. Other 32 people on bus were tested."

Global Times's hantavirus report on Twitter has been shared over 6,000 times.

On Tuesday, hantavirus was one of the top trends on Twitter.

WHAT IS HANTAVIRUS?

Some people are calling it a new virus but so is not the case. United States's National Center for Biotechnology Information (NCBI) in a journal writes that currently, the hantavirus genus includes more than 21 species.

"Hantaviruses in the Americas are known as 'New World' hantaviruses and may cause hantavirus pulmonary syndrome [HPS]," CDC says. "Other hantaviruses, known as 'Old World' hantaviruses, are found mostly in Europe and Asia and may cause hemorrhagic fever with renal syndrome [HFRS]."

Any man, woman, or child who is around mice or rats that carry harmful hantaviruses can get HPS.

People get HPS when they breath in hantaviruses. This can happen when rodent urine and droppings that contain a hantavirus are stirred up into the air. People can also become infected when they touch mouse or rat urine, droppings, or nesting materials that contain the virus and then touch their eyes, nose, or mouth. They can also get HPS from a mouse or rat bite.

In the US, 10 confirmed cases of hantavirus infection in people who visited Yosemite National Park in California, US, in November 2012, were reported. Similarly, in 2017, CDC assisted health officials in investigating an outbreak of Seoul virus infection that infected 17 people in seven states.

WHAT ARE THE SYMPTOMS OF HANTAVIRUS?

If people get HPS, they will feel sick one to five weeks after they were around mice or rats that carried a hantavirus.

At first people with HPS will have:

Fever
Severe muscle aches
Fatigue

After a few days, they will have a hard time breathing. Sometimes people will have headaches, dizziness, chills, nausea, vomiting, diarrhoea, and stomach pain.

Usually, people do not have a runny nose, sore throat, or a rash.

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