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How math professor Manjul Bharagava solved a 200-year-old number theory puzzle by using Sanskrit Texts & the Rubik’s Cube

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Manjul Bhargava

Manjul Bhargava

NEW YORK (Diya TV) — Manjul Bharagava, a mathematics professor at Princeton University and winner of the 2014 Fields Medal, has found the solution to a 200-year-old theory law with the help of a 6th Century mathematician and a Rubik’s Cube.

Bharagava said German mathematician Carl Friedrich Gauss showed that if two numbers — each sum of two perfect squares — are multiplied, the result will also be the sum of two perfect squares. The professor’s grandfather was a Sanskrit professor in Rajasthan, and said he’d once seen Sanskrit manuscripts written by Brahmagupta, an Indian mathematician from 628 CE, that carried a similar formula.

The similarity?

If two numbers are each the sum of a perfect square and a given whole number times a perfect square are multiplied together, the product will again be sum of a perfect square and that whole number times another perfect square.

When Bharagava came across the German’s 18th Century composition law on binary quadratic forms, he sought an easier way to simplify the process. The moment of truth came when Bharagava employed a Rubik’s and mini-cube, a more petite version with four squares on each side.

Bharagava discovered that if he placed numbers on each of the four corners of the mini-cube and cut it in half,  the eight corner numbers could be combined to produce a binary quadratic form. Even more, the cube had the capability to generate three binary quadratic forms when using this method since there were three ways to cut the cube in half.

The cube-slicing gave a new reformulation to Guass’ law.

Additionally, Bharagava found that if he arranged numbers on a Rubik’s domino, he could produce a composition law for cubic forms, ones whose exponents are three.

Ultimately, Bharagava discovered 12 more compositions, all which became part of his PhD thesis. Later, Benedict Gross, a mathematician from Harvard University, said the thesis was “first major contribution to Gauss’ theory of composition of binary forms for 200 years.”

 

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Indiaspora releases 2021 government leaders list featuring over 200 members of Indian diaspora

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Indiaspora Releases 2021 Government Leaders List | Diya TV News

WASHINGTON (Diya TV) — Nonprofit Indiaspora released their list recognizing more than 200 members of the Indian diaspora who are leaders in their countries’ governments. The leaders span the globe, with more than 60 holding Cabinet-level positions.

More than 32 million people of Indian origin live outside of India, the largest diaspora population in the world.

After entertaining pitches from a number of Indian states, Karnataka Chief Minister B.S. Yediyurappa declared Tesla will set up its Indian production in his state. An electric vehicle pioneer, analysts forecast India could generate 5% of Tesla’s revenue in the next 5 years.

The late Indian American scientist Narinder Singh Kapany, the father of fiber optics, received a posthumous Padma Vibhushan, India’s second highest award. Singh died last year at the age of 94.

An Indian physicist’s revolutionary Black Hole research is turning 50 years old. C.V. Vishveshwara died in 2017, but his work lives on and continues to be honored. The Indian Association for General Relativity and Gravitation and The International Centre for Theoretical Sciences held an event in India to discuss the implications of Vishveshwara’s breakthrough. And now colleagues in his field around the world continue to be astounded at his research. Building off the work of Albert Einstein, Vishveshwara found that Black Holes had a structure, and if you banged on it, would vibrate like a bell. He first published this finding in the science journal “Nature.”

Ravi Kapur contributed to this report.

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Search continues for 12 yr old Arunay Pruthi lost at sea.

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One Month Since Arunay Pruthi’s Loss At Sea | Diya TV News

FREMONT, Calif. (Diya TV)  — It’s been a month since 12 year old Arunay Pruthi disappeared off the California coast. And while his family and their Fremont neighbors are devastated by his apparent loss, they continue to hold out hope they will find out what happened to the 7th grader. Pruthi was caught by dangerous surf at Cowell Ranch State Beach in Half Moon Bay and his father said he just drifted away. Despite hundreds of volunteers scouring the area, Pruthi hasn’t been seen since. There is a $50,000 reward for information leading to his discovery.

31 year old Ashwani Jain announced he’s running to become Maryland’s next governor. The Democrat recently ran unsuccessfully for Montgomery, Maryland City Council. He’s also a former Obama administration official.

Sean Desai made history, as he was named the Chicago Bears new defensive coordinator, making him the first Indian American ever to receive a coordinator job in the NFL. The 37 year old served as an assistant coach for several years before this promotion. Desai started his coaching career at Temple University, where he also received a doctorate in educational administration.

Ravi Kapur contributed to this report.

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UN: Avoid Pakistani airlines over fake pilot licence scandal

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UN: Avoid Pakistani Airlines Over Fake Pilot Scandal | Diya TV News

SANTA CLARA (Diya TV) — The United Nations is telling its staff and partner agencies to avoid flying on all Pakistani airlines as the country continues to deal with a fake pilot license scandal. The warning means UN staff in Pakistan will be unable to fly internationally or domestically with these airlines, creating a travel nightmare.

The National Football League’s San Francisco 49ers is increasing its stake in soccer club Leeds United to 37 percent. And Indian American Paraag Marathe has been tapped to become Vice Chairman of the English Premier League team. Marathe will lead day to day operations and be more involved in the decision making process. The executive is still the 49ers Vice President of Football Operations, essentially the right hand man to owner Jed York.

As more foreign companies turn their backs on the United States, China and India are taking advantage. Direct investment in the US by overseas companies plummeted 49 percent last year according to a recent study. China’s grew by four percent to $163 billion. In India, foreign direct investment skyrocketed 13 percent last year to $57 billion. Policies allowing more foreign companies like Ikea and Uniqlo to open stores and increasing the country’s manufacturing base are some of the reasons for this growth.

Ravi Kapur contributed to this report.

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