Results 1 to 10 of about 542,394 (229)

Counting Rainbow Solutions of a Linear Equation over ${\mathbb{F}}_p$ via Fourier-Analytic Methods

Mathematics
We study rainbow solutions to linear equations modulo a prime p, where the residue classes are partitioned into n color classes. Using the Fourier method, we derive a universal lower bound that depends only on the class densities and a single spectral ...
Francisco-Javier Soto
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Is journalism failing on climate?

Environmental Research Letters, 2012
How can we build a reliable and affordable energy supply based on renewables? How rapidly do we need to cut greenhouse gas emissions to keep climate change within manageable bounds?
Stefan Rahmstorf
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THE AVERAGE LARGEST PRIME FACTOR

, 2014
See the abstract in the attached ...
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The second largest prime factor of an odd perfect number [PDF]

Mathematics of Computation, 1975
Recently Hagis and McDaniel have studied the largest prime factor of an odd perfect number. Using their results, we begin the study here of the second largest prime factor. We show it is at least 139. We apply this result to show that any odd perfect number not divisible by eight distinct primes must be divisible by 5 or 7.
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CoINS‐Parking: Compressed IoT Blockchain Network Smart Parking

IET Blockchain
In this paper, CoINS‐Parking, a compressed IoT blockchain network for smart parking systems, is presented. Smart parking collects data and processes it to provide real‐time information about parking availability.
Danial Fazelpour, Athena Abdi
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Allocation base of general production costs as optimization of prime costs

Vìsnik Žitomirsʹkogo Deržavnogo Tehnologìčnogo Unìversitetu: Ekonomìčnì Nauki, 2017
Qualified management aimed at optimizing financial results is the key factor in today's society. Effective management decisions depend on the necessary information about the costs of production process in all its aspects – their structure, types ...
Levytska I.O.
doaj  

Efficiency and driving factors for the retention of exogenous inorganic nitrogen in different forest soils

Ecological Indicators
Forest soils play a vital role in purifying exogenous nitrogen ions and mitigating eutrophication in downstream water bodies. However, the heterogeneity of nitrogen ion removal efficiency in different forest soils and the underlying driving mechanisms ...
Zengwang Yao, Xudong Zhang, Lianghua Qi, Xu Wang, Qi Shu, Xinmiao Liu, Hailong Wu, Shenghua Gao   +7 more
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The largest prime factor of X³+2

Acta Arithmetica, 2015
15 ...
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Additive functions and the largest prime factor of integers

Journal of Number Theory, 1989
Let P(n) denote the largest prime factor of an integer \(n\geq 2\) and A(n) the sum of the prime factor of n. The reviewer and \textit{P. Erdős} showed that \[ \sum_{n\leq x}P(n)\sim \sum_{n\leq x}A(n)\sim \pi^ 2x^ 2/12 \log x \] [Pac. J. Math. 71, 275-294 (1977; Zbl 0359.10038)] and that \(\sum_{n\leq x}(A(n)/P(n))\sim x\), as \(x\to \infty\) [Pac. J.
DeKoninck, Jean-Marie, Kátai, Imre, Mercier, Armel   +2 more
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The largest prime factor of the integers in an interval, II

Journal für die reine und angewandte Mathematik (Crelles Journal), 1998
Let \(\varepsilon>0\) and for \(x>0\) let \(Q(x)\) be the greatest prime factor of \[ \prod_{xx^{\frac{17}{18}-2\varepsilon}.\) Part I, cf. Sci. China, Ser. A 39, No. 5, 449--476 (1996; Zbl 0867.11064).
Heath-Brown, D, Jia, C
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