Results 61 to 70 of about 120,275 (213)

Iterated harmonic numbers

open access: yes, 2023
13 pages, 2 ...
Ash, J Marshall   +3 more
openaire   +2 more sources

Odd harmonic numbers exceed 10²⁴ [PDF]

open access: yesMathematics of Computation, 2010
A number n > 1 n>1
Graeme L. Cohen, Ronald M. Sorli
openaire   +2 more sources

Hypergeometric series and harmonic number identities

open access: yesAdvances in Applied Mathematics, 2005
10 ...
CHU, Wenchang, DEDONNO L.
openaire   +4 more sources

Five-level selective harmonic elimination PWM strategies and multicarrier phase-shifted sinusoidal PWM: A comparison [PDF]

open access: yes, 2005
The multicarrier phase-shifted sinusoidal pulse-width modulation (MPS-SPWM) technique is well-known for its important advantage of offering an increased overall bandwidth as the number of carriers multiplied with their equal frequency directly controls ...
Cossar, C.   +3 more
core   +1 more source

Effect of Rotor Bar Number on Performance of Five-Phase Induction Machine for Traction [PDF]

open access: yes, 2018
The paper investigates the effect of the bar number on the performances of a five-phase squirrel-cage induction machine with fractional-slot tooth concentrated winding.
SCUILLER, Franck   +9 more
core   +1 more source

Evaluating Infinite Series Involving Harmonic Numbers by Integration

open access: yesMathematics
Eight infinite series involving harmonic-like numbers are coherently and systematically reviewed. They are evaluated in closed form exclusively by integration together with calculus and complex analysis. In particular, a mysterious series W is introduced
Chunli Li, Wenchang Chu
doaj   +1 more source

Lerch-harmonic numbers related to Lerch transcendent

open access: yesMathematical and Computer Modelling of Dynamical Systems, 2023
Harmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms.
Taekyun Kim   +3 more
doaj   +1 more source

Differences of Harmonic Numbers and the abc-Conjecture

open access: yesThe PUMP Journal of Undergraduate Research, 2018
Our main source of inspiration was a talk by Hendrik Lenstra on harmonic numbers, which are numbers whose only prime factors are two or three. Gersonides proved 675 years ago that one can be written as a difference of harmonic numbers in only four ways: 2-1, 3-2, 4-3, and 9-8.
da Silva, Natalia   +2 more
openaire   +3 more sources

Reducing Harmonic Voltage At Industrial Area Distribution Network Using Network Configuration Management [TK1007. S526 2008 f rb]. [PDF]

open access: yes, 2008
Syarikat pembekal elektrik diperlukan untuk mengekalkan tahap voltan harmonik di dalam sistem di bawah batas piawaian. Electric utility company is required to maintain harmonic voltage level in the system below the standard’s ...
Latif, Mohd Shahed
core  

Riordan arrays and harmonic number identities [PDF]

open access: yes, 2010
Let the numbers P(r,n,k) be defined by P(r,n,k):=Pr(Hn(1)−Hk(1),…,Hn(r)−Hk(r)), where Pr(x1,…,xr)=(−1)rYr(−0!x1,−1!x2,…,−(r−1)!xr) and Yr are the exponential complete Bell polynomials.
Wang, Weiping, Weiping Wang
core   +1 more source

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