Results 171 to 180 of about 120,275 (213)

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

SHI: a framework for spatial harmonic imaging. [PDF]

Sci Rep
Diaz JLB, Korvink JG, Kunka D.
europepmc   +1 more source

Pixel level anomaly detection in second harmonic generation microscopy for non destructive defect inspection of AlGaN/GaN heterostructures. [PDF]

Discov Nano
Kang CF, Hung CC, Huang CH, Li TC, Uen WY, Chiu CH.   +5 more
europepmc   +1 more source

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Summation of Harmonic Numbers

1989
The problem of finding closed forms for a summation involving harmonic numbers is considered. Solutions for ∑ i n =1P(i)H i (k) , where p(i) is a polynomial, and ∑ i n =1 Hi/(i+m), where m is an integer, are given. A method to automate these results is presented.
Dominic Y. Savio, Edmund A. Lamagna, Shing-Min Liu   +2 more
openaire   +1 more source

A binomial sum of harmonic numbers

Discrete Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalized harmonic number sums

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mark W. Coffey, Nicholas Lubbers
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On the denominators of harmonic numbers, II

Journal of Number Theory, 2019
The \textit{harmonic number} \(H_n\) is defined as \(\sum_{i=1}^n \frac{1}{i}\) and the \textit{alternating harmonic number} \(A_n\) is defined as \(\sum_{i=1}^n (-1)^{i+1}\frac{1}{i}\). Write \(H_n=\frac{u_n}{v_n}\) with \(\gcd(u_n,v_n)=1\), \(v_n>0\); and \(A_n=\frac{a_n}{b_n}\) with \(\gcd(a_n,b_n)=1\), \(b_n>0\).
Bing-Ling Wu, Yong-Gao Chen
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Identities on harmonic and q-harmonic number sums

Afrika Matematika, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ramanujan’s formula for the harmonic number

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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