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ĐỀ SỐ 11LETTER FROM A GENIUSIn 1912, the world's top mathematicians began to receive letters which were full of incredibly complex formulae. They came from Madras, in India, where a 23-year-old accounts clerk named Srinivasa Ramanujan had seemingly (1)____________ up with hundreds of new solutions to known mathematical problems (2)____________ any form ofassistance or training.For the most part, the professional mathematicians' response was the usual one (3)_______________ faced with eccentric letters: they consigned them straight to the bin. But in 1913, some reached G. H. Hardy, a leading authority in number theory at Cambridge, University. He, too, initially dismissed the letters (4)_________________ the work of an eccentric, but unable to (5)____________ them out of his head, he eventually subjected them to closer scrutiny. After a few hours, Hardy arrived atthe conclusion that what he had (6)________________ him was the work of a mathematical genius, a view confirmed by colleagues with whom he shared his discovery.Before very (7)______________, Ramanujan had received an invitation to Cambridge and, once there, he soon proved (8)________________ worth.A fruitful collaboration with Hardy (9)____________ in the opening up of vast areas of mathematical research, still being worked on to (10)_____________ day.

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