Results 171 to 180 of about 8,955,762 (211)
A rank-conditioned α-stable perturbation for differential evolution: Separating perturbation frequency and tail heaviness. [PDF]
PLoS OneChoi TJ, An Y.
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Adaptive class rebalancing and spatial-aware metadata fusion for long-tailed skin lesion classification. [PDF]
Front Med (Lausanne)Ma T, Han X, Liu G.
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TurboBlom: A light and resilient key predistribution scheme with application to Internet of Things. [PDF]
PLoS OneKhabbazian M +2 more
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Nature, 1922
IN my presidential address to Section A of the British Association, reprinted in NATURE (September 16), I stated that 137 was the least value of n for which the prime or composite character of 2n–1 was still undecided. Mr. W. W. Rouse Ball has pointed out to me that this is incorrect, as 2137–1 has been shown to be composite by M. A.
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IN my presidential address to Section A of the British Association, reprinted in NATURE (September 16), I stated that 137 was the least value of n for which the prime or composite character of 2n–1 was still undecided. Mr. W. W. Rouse Ball has pointed out to me that this is incorrect, as 2137–1 has been shown to be composite by M. A.
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SOME IDENTITIES OF k-MERSENNE NUMBERS
Advances and Applications in Discrete Mathematics, 2017Summary: In this study, we first examine \(k\)-Mersenne numbers. Then we obtain some identities on the \(k\)-Mersenne numbers.
Uslu, Kemal, Deniz, Vural
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Mersenne numbers as a difference of two Lucas numbers
Commentationes Mathematicae Universitatis Carolinae, 2023Summary: Let \((L_n)_{n\geq 0}\) be the Lucas sequence. We show that the Diophantine equation \(L_n-L_m=M_k\) has only the nonnegative integer solutions \((n,m,k)=(2,0,1)\), \((3,1,2)\), \((3,2,1)\), \((4,3,2)\), \((5,3,3)\), \((6,2,4)\), \((6,5,3)\) where \(M_k=2^k-1\) is the \(k\)th Mersenne number and \(n>m\).
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New Vistas on Mersenne numbers
Proceeding International Conference on Science and Engineering, 2023Mersenne numbers are analyzed for varieties of interesting properties. Various fascinating relations connecting Mersenne numbers with other special number patterns by means of theorems involving the relations are exhibited.
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