Results 271 to 280 of about 156,880 (305)
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Proceedings of the Indian Academy of Sciences - Section A, 1964
This paper, received in July 1964 and marked as being communicated by Sir C.V. Raman, then President of the Indian Academy of Sciences is one of four that DDK wrote under the Ducray pseudonym.
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This paper, received in July 1964 and marked as being communicated by Sir C.V. Raman, then President of the Indian Academy of Sciences is one of four that DDK wrote under the Ducray pseudonym.
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The American Mathematical Monthly, 2008
(2008). Prime Number Patterns. The American Mathematical Monthly: Vol. 115, No. 4, pp. 279-296.
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(2008). Prime Number Patterns. The American Mathematical Monthly: Vol. 115, No. 4, pp. 279-296.
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American Journal of Mathematics, 1942
A few years ago, Watson succeeded in proving an asymptotic congruence property formulated by Ramanujan, namely, the following theorem: If m and Ic are fixed positive integers, there are between n = 1 and n = N only o (N) integers n for which the sum of the (2m 1) -th powers of all divisors of n is not a multiple of k.
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A few years ago, Watson succeeded in proving an asymptotic congruence property formulated by Ramanujan, namely, the following theorem: If m and Ic are fixed positive integers, there are between n = 1 and n = N only o (N) integers n for which the sum of the (2m 1) -th powers of all divisors of n is not a multiple of k.
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Nature, 1941
EINSTEIN's statistical theory of Brownian motion has two aspects, one dealing with distribution in time, the other with distribution in space. It is known1 that, while the spatial distribution is described, as in the chronology of a Geiger counter, by Poisson's enumerating law of independent rare events, the temporal distribution turns out to be ...
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EINSTEIN's statistical theory of Brownian motion has two aspects, one dealing with distribution in time, the other with distribution in space. It is known1 that, while the spatial distribution is described, as in the chronology of a Geiger counter, by Poisson's enumerating law of independent rare events, the temporal distribution turns out to be ...
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Optimus prime: paraphrasing prime number talk
Synthese, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mathematical Gazette, 1961
Proofs of the prime number theorem are extremely hard to follow, and leave the impression, at least among amateurs, that the essential property of prime numbers, namely their primeness, plays very little part in the argument. Simple reasoning, based on the rules of probability, can however give a very fair ...
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Proofs of the prime number theorem are extremely hard to follow, and leave the impression, at least among amateurs, that the essential property of prime numbers, namely their primeness, plays very little part in the argument. Simple reasoning, based on the rules of probability, can however give a very fair ...
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2009
It was already shown in Euclid’s Elements (Book IX, Proposition 20) that there are infinitely many prime numbers. The proof is a model of simplicity: let \(p_1, \ldots, p_n\) be any finite set of primes and consider the integer \(N = p_1 \ldots p_n + 1\).
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It was already shown in Euclid’s Elements (Book IX, Proposition 20) that there are infinitely many prime numbers. The proof is a model of simplicity: let \(p_1, \ldots, p_n\) be any finite set of primes and consider the integer \(N = p_1 \ldots p_n + 1\).
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Enhanced prime editing systems by manipulating cellular determinants of editing outcomes
Cell, 2021Peter J Chen +2 more
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Prediction of efficiencies for diverse prime editing systems in multiple cell types
Cell, 2023Goosang Yu, Hui Kwon Kim, Jihye Park
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