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Inequalities for the harmonic numbers
Mathematische Zeitschrift, 2009Let \(H_n:=1+\frac 12+\dots+\frac 1n,n\geq 1\), be the harmonic numbers. The author proves the following. For all integers \(n\geq 2\), it holds that \[ \alpha\frac{\log(\log n +\gamma)}{n^2}\leq H_n^{\frac 1n}-H_{n+1}^{\frac{1}{n+1}}
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Evolving an Harmonic Number Generator with ReNCoDe
2013Evolutionary Algorithms (EA) are loosely inspired in the ideas of natural selection and genetics. Over the years some researchers have advocated the need of incorporating more ideas from biology into EAs, in particular with respect to the individuals’ representation and the mapping from the genotype to the phenotype.
Rui L. Lopes, Ernesto Costa
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Milliwatt terahertz harmonic generation from topological insulator metamaterials
Light: Science and Applications, 2022Jan-Christoph Deinert, Sebin Varghese
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Combinatorial identities on \(q\)-harmonic numbers
2011Summary: By means of the \(q\)-finite differences and the derivative operator, we derive, from an alternating \(q\)-binomial sum identity with a free variable \(x\), several interesting identities concerning the generalized \(q\)-harmonic numbers.
CHU, Wenchang, YAN Q.
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Review of AI applications in harmonic analysis in power systems
Renewable and Sustainable Energy Reviews, 2022Ahmadreza Eslami +2 more
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Real-time observation of interfering crystal electrons in high-harmonic generation
Nature, 2015Stephan W. Koch +2 more
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On a new harmonic selection technique for harmonic balance method
Mechanical Systems and Signal Processing, 2012Fabrice Thouverez, Aurélien Grolet
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On the use of windows for harmonic analysis with the discrete Fourier transform
Proceedings of the IEEE, 1978F J Harris
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