Topic: India/Tamil Nadu

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๐Ÿ”— Tamil Bell

๐Ÿ”— New Zealand ๐Ÿ”— India ๐Ÿ”— India/Tamil Nadu ๐Ÿ”— Dravidian civilizations ๐Ÿ”— New Zealand/Mฤori ๐Ÿ”— Tamil civilization

The Tamil Bell is a broken bronze bell discovered in approximately 1836 by missionary William Colenso. It was being used as a pot to boil potatoes by Mฤori women near Whangarei in the Northland Region of New Zealand.

The bell is 13ย cm long and 9ย cm deep, and has an inscription. The inscription running around the rim of the bell has been identified as old Tamil. Translated, it says "Mohoyiden Buks shipโ€™s bell". Some of the characters in the inscription are of an archaic form no longer seen in modern Tamil script, thus suggesting that the bell could be about 500 years old, possibly from the Later Pandya period. It is thus what is sometimes called an out-of-place artefact.

Indologist V. R. Ramachandra Dikshitar states in his The Origin and Spread of the Tamils that ancient Tamil sea-farers might have had a knowledge of Australia and Polynesia. The discovery of the bell has led to speculation about a possible Tamil presence in New Zealand, but the bell is not in itself proof of early Tamil contact with New Zealand'. Seafarers from Trincomalee may have reached New Zealand during the period of increased trade between the Vanni country and South East Asia. The bell might have been dropped off the shore by a Portuguese ship, whose sailors had been in touch with the Indians. Also, a number of Indian vessels had been captured by the Europeans during the period; thus, another possibility is that the bell might have belonged to such a wrecked vessel, cast away on the New Zealand shores.

The bell was bequeathed by William Colenso to the Dominion Museum โ€“ now the Museum of New Zealand Te Papa Tongarewa.

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๐Ÿ”— Ramanujan's Lost Notebook

๐Ÿ”— Mathematics ๐Ÿ”— India ๐Ÿ”— India/Tamil Nadu

Ramanujan's lost notebook is the manuscript in which the Indian mathematician Srinivasa Ramanujan recorded the mathematical discoveries of the last year (1919โ€“1920) of his life. Its whereabouts were unknown to all but a few mathematicians until it was rediscovered by George Andrews in 1976, in a box of effects of G. N. Watson stored at the Wren Library at Trinity College, Cambridge. The "notebook" is not a book, but consists of loose and unordered sheets of paper described as "more than one hundred pages written on 138 sides in Ramanujan's distinctive handwriting. The sheets contained over six hundred mathematical formulas listed consecutively without proofs."

George Andrews and Bruce C. Berndtย (2005, 2009, 2012, 2013, 2018) have published several books in which they give proofs for Ramanujan's formulas included in the notebook. Berndt says of the notebook's discovery: "The discovery of this 'Lost Notebook' caused roughly as much stir in the mathematical world as the discovery of Beethovenโ€™s tenth symphony would cause in the musical world."

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๐Ÿ”— Srinivasa Ramanujan

๐Ÿ”— Biography ๐Ÿ”— Mathematics ๐Ÿ”— Biography/science and academia ๐Ÿ”— History of Science ๐Ÿ”— India ๐Ÿ”— India/Indian history workgroup ๐Ÿ”— India/Tamil Nadu

Srinivasa Ramanujan FRS (; listenย ; 22 December 1887ย โ€“ 26 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable. Ramanujan initially developed his own mathematical research in isolation: "He tried to interest the leading professional mathematicians in his work, but failed for the most part. What he had to show them was too novel, too unfamiliar, and additionally presented in unusual ways; they could not be bothered". Seeking mathematicians who could better understand his work, in 1913 he began a postal partnership with the English mathematician G. H. Hardy at the University of Cambridge, England. Recognizing Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. In his notes, Ramanujan had produced groundbreaking new theorems, including some that Hardy said had "defeated him and his colleagues completely", in addition to rediscovering recently proven but highly advanced results.

During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations). Many were completely novel; his original and highly unconventional results, such as the Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta functions, have opened entire new areas of work and inspired a vast amount of further research. Nearly all his claims have now been proven correct. The Ramanujan Journal, a scientific journal, was established to publish work in all areas of mathematics influenced by Ramanujan, and his notebooksโ€”containing summaries of his published and unpublished resultsโ€”have been analyzed and studied for decades since his death as a source of new mathematical ideas. As late as 2011 and again in 2012, researchers continued to discover that mere comments in his writings about "simple properties" and "similar outputs" for certain findings were themselves profound and subtle number theory results that remained unsuspected until nearly a century after his death. He became one of the youngest Fellows of the Royal Society and only the second Indian member, and the first Indian to be elected a Fellow of Trinity College, Cambridge. Of his original letters, Hardy stated that a single look was enough to show they could only have been written by a mathematician of the highest calibre, comparing Ramanujan to mathematical geniuses such as Euler and Jacobi.

In 1919, ill healthโ€”now believed to have been hepatic amoebiasis (a complication from episodes of dysentery many years previously)โ€”compelled Ramanujan's return to India, where he died in 1920 at the age of 32. His last letters to Hardy, written in January 1920, show that he was still continuing to produce new mathematical ideas and theorems. His "lost notebook", containing discoveries from the last year of his life, caused great excitement among mathematicians when it was rediscovered in 1976.

A deeply religious Hindu, Ramanujan credited his substantial mathematical capacities to divinity, and said the mathematical knowledge he displayed was revealed to him by his family goddess. "An equation for me has no meaning," he once said, "unless it expresses a thought of God."

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