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QUANT QUESTIONS SCHOLAR SOLUTIONS Part 1 Remembering Ramanujan
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3. Ramanujan’s Notebooks ~ 3. Ramanujan’s Notebooks The history of the notebooks, in brief, is the following: Ramanujan had noted down the results of his researches, without proofs, (as in A Synopsis of Elementary Results, a book on pure Mathematics, by G.S. Carr), in three notebooks, between the years 1903 - 1914, before he left for England.
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Ramanujan’s Series for 1∕ π / SpringerLink ~ Ramanujan Mathematical Society Lecture Notes Series, vol. 20 (Ramanujan Mathematical Society, Mysore, 2013), pp. 181–195 Google Scholar 173. G.-H. Halphen, Traité des Fonctions Elliptiques et de leurs Applications, Part 1 (Gauthier-Villars, Paris, 1886) zbMATH Google Scholar
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Solution: ‘Puzzles Inspired by Ramanujan’ / Quanta Magazine ~ Our July Insights column was inspired by the mathematics of the phenomenal 20th-century number theorist Srinivasa Ramanujan, whose romantic and tragic life story was the subject of the recent film The Man Who Knew Infinity.Ramanujan’s mentor, G. H. Hardy, compared his mathematical prowess to that of Euler and Jacobi, two of the greatest mathematicians of all time.
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Three Puzzles Inspired by Ramanujan / Quanta Magazine ~ Correction: This post was revised on July 14 to remove an extraneous “1+” in the first line of the continued fraction and an apocryphal reference to a dream of Ramanujan’s. Correction: This post was revised on July 15 to say that Évariste Galois died in a gun duel at the age of 20, not 21. Update: The solution has been published here.
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An Introduction to Basic Statistics and Probability ~ i=1 Xi n. Consider x to be a single realization of a random variable X over all possible samples of size n. The sampling distribution of X is the distribution of values of x over all possible samples of size n that could be selected from the population. An Introduction to Basic Statistics and Probability – p. 32/40.
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