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
May 15,2020

Washington, May 15: A top US senator has unveiled an 18-point plan, including enhancing military ties with India, to hold the Chinese government accountable for its "lies, deception, and cover-ups" that ultimately led to the global COVID-19 pandemic.

The prominent suggestions are moving manufacturing chain from China and deepening military-strategic ties with India, Vietnam and Taiwan.

"The Chinese government maliciously covered up and enabled a global pandemic that has caused misery for so many Americans. This is the same regime that locks up its own citizens in labour camps, steals America's technology and jobs, and threatens the sovereignty of our allies,” said Senator Thom Tillis, presenting his detailed, 18-point plan on Thursday.

"This is a major wake-up call to the United States and the rest of the free world. My plan of action will hold the Chinese government accountable for lying about COVID-19; sanctioning the Chinese government while protecting America's economy, public health, and national security," he said.

The plan seeking to create a Pacific Deterrence Initiative and immediately approve the military's request for USD 20 billion in funding. It also calls for deepening military ties with regional allies and expand equipment sales to India, Taiwan and Vietnam.

Encourage Japan to rebuild its military and offer Japan and South Korea sales of offensive military equipment, it said.

"Move manufacturing back to the US from China and gradually eliminate our supply chain dependency on China. Stop China from stealing our technology and provide incentives to American companies to regain our technological advantage. Strengthen cybersecurity against Chinese hacks and sabotage," the plan stated.

"Prevent American taxpayer money from being used by the Chinese government to pay off their debt. Implement the US ban on (Chinese technology company) Huawei and coordinate with our allies to implement similar bans,” it added.

The plan seeks restitution from the Chinese government and imposition of sanctions for lying about the virus. It further said China should be sanctioned for their atrocious human rights record.

Senator Tillis' plan urges the Trump Administration to formally request the International Olympic Committee to withdraw the 2022 Winter Olympics from Beijing.

"Stop China's propaganda campaign inside the United States. Treat Chinese government-run media outlets as the propaganda proxies that they are," the plan stated.

Urging the government to investigate the Chinese government's cover-up of the spread of COVID-19, the plan also seeks to investigate America's reliance on China's supply chains and threats to public safety and national security.

"Ensure the independence of the WHO through investigations and reform. Expose and counter China's predatory debt-trap diplomacy targeting developing countries. Increase intelligence sharing on potential pandemics and lead the creation of a watchdog organization to monitor foreign governments' handling of deadly viruses," Tillis said in his suggestions.

The coronavirus, which first emerged in China's Wuhan city in December last, has killed over 3,00,000 people with 4.3 million confirmed cases across the world. More than a quarter of all confirmed COVID-19 cases are from the US.

There has been increasing pressure on the President Trump, in the last several weeks, to take action against China as lawmakers and opinion-makers feel that the COVID-19 spread across the world from Wuhan because of Chinese inaction.

Meanwhile, Senator John Barrasso, in a speech on the Senate floor on Thursday, highlighted the need to update the Foreign Intelligence Surveillance Act (FISA) legislation that was put on hold by the coronavirus pandemic.

"The virus could have been contained had it not been for the Chinese Government's unscrupulous cover-up. China knew the risk months before the rest of the world; yet Chinese communist leaders destroyed key evidence, they under-reported the number of coronavirus cases, and they misled the world about its deadly, rapid spread," he said.

Asserting that the virus should have been contained in Wuhan, he said tens and tens of thousands of Americans and hundreds of thousands of people worldwide have died as a result of China's failure.

Barrasso said the US should encourage its companies to create American and western supply chains. "That way our frontline workers have what they need in the time of crisis," he said.

"Not again, not ever will we be exclusively sourced for critical drugs from China. We should diversify supply and bring home as much of our supply chain as possible," he added.

Congressman Troy Balderson introduced bicameral legislation with Congressman Doug Collins and Senator Lindsey Graham that will hold China accountable for deceptive actions taken by its leaders that led to the spread and subsequent global pandemic.

The COVID-19 Accountability Act authorises president Donald Trump to impose sanctions on China if it fails to cooperate with a full investigation led by the US or its allies into the events that lead to the COVID-19 outbreak.

"The number of Ohioan lives needlessly claimed by this pandemic could have been significantly reduced had China taken appropriate measures to control the virus' spread and disclose its severity," said Balderson.

"The United States can't look the other way when China so recklessly compromised worldwide health and the global economy. China and its Communist Party leadership must be held accountable," he said.

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WHO
 - 
Monday, 18 May 2020

Hahah LOL..

 

go back to past 20 year...from 2000 to 2020..all your sins are boiling now.

 

millions of innocent life has been taking by so called AMERICA in middle east.

 

 

now come to the point

The great GOD Vs USA

GOD: 4 Million+

USA and allied : 0

 

throw your nuke weapon to sea...no use

you cant fight God s tiny microorganisms...humans are just a thing.

 

USA will get 0.5 million death and 10 million infection...20 years of  sin must be given with interest

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News Network
May 9,2020

Islamabad, May 9: A female doctor posted at Pakistan Institute of Medical Sciences (Pims) Mother and Child Hospital (MCH), who was tested Covid-19 positive, has exposed Pakistan's mismanagement in handling the patients affected with the deadly virus.

Identified herself as Dr. Sharbat, she made a video of herself locked in an isolated room when the authorities failed to provide any medical assistance to her.

According to Pakistani media, the Pakistan Institute of Medical Sciences (Pims) Mother and Child Hospital (MCH) and the operating theatre in the Children's Hospital were sealed on Tuesday after 15 people from both facilities were diagnosed with Covid-19.

Dr. Sharbat said that despite having Covid-19 symptoms after her colleague doctor was tested positive, she was forced to perform duty by the hospital authorities.

After she tested positive, Dr. Sharbat has isolated herself in a room and has requested the hospital authorities to provide her a bed in the hospital.

She said, "I am isolated in a small room. There is no toilet and other facilities at this place. I have requested the authorities several times to provide me proper bed because I cannot go home as my son and father is there. I have no other place to go. Its been several hours now and the administration is busy doing meetings. They have no idea about my location. I have called the concerned officials several times and requested for a room in the hospital, but they said that they are looking for it. This is the kind of arrangements we have that a doctor, who was serving the patients, is not able to get proper care".

Dr Sharbat said that she is feeling depressed after seeing the response of authorities tackling with Covid-19 crisis in the country.

She added, "It is unfortunate that the government salutes [health professionals] but is not willing to provide isolation rooms."

Pakistan's position in the global ranking in respect of Covid-19 dropped from 24th to 22nd after the number of positive cases increased to 26,806 (till May 08) with the addition of 1,791 new cases.

However, the National Coordination Committee (NCC), chaired by Prime Minister Imran Khan, had decided to substantially ease the lockdown from Saturday after detailed deliberations and consultations with the provinces.

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News Network
July 3,2020

Islamabad, Jul 3: The US embassy here in a statement on Friday said the Trump administration through the US Agency for International Development (USAID) “donated a shipment of 100 brand-new, state-of-the-art ventilators” to Pakistan.

The ventilators arrived in Karachi on July 2 and will be sent to hospitals across Pakistan.

“This donation delivers on President Donald Trump’s generous offer of these critically-needed supplies and supports Pakistan’s urgent response to the pandemic,” the embassy said.

Made in America, the ventilators are valued at about $3 million and reflect the latest in cutting-edge medical design and technology, it said.

They are compact, easily deployable, and will enable Pakistan to more effectively treat patients suffering from Covid-19.

The US-Pakistan health partnership to curb the spread of the novel coronavirus is helping to improve and expand laboratory testing, disease monitoring, case tracking, infection prevention and control and patient care, the embassy said.

The US has contributed nearly $27 million in new funding so far to this vital partnership that is growing every day. "We are also thankful for Pakistan's contribution of medical supplies to help fight coronavirus in the US," the embassy said in the statement.

Ambassador Paul Jones said, “The US stands with Pakistan in its fight against the coronavirus. These American-made ventilators will help Pakistani patients in the most acute need of medical care."

The announcement comes days after Pakistan said it had started producing locally designed ventilators.

Pakistan reported 78 more deaths from the coronavirus in the past 24 hours, raising virus-related fatalities to 4,551 while the total number of confirmed cases has increased to 221,896.

On Friday, the health authorities said 1,13,623 persons have recovered from the coronavirus, surpassing the number of active Covid-19 infections in the country for the first time.

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