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The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x=1/z and x=(1-t)/(1+t). The coefficients of their expansions and their Mellin transforms
Remiddi, Ettore +1 more
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Fast-individual-harmonic-extraction technique [PDF]
One outcome of a PhD project (C H Ng, University studentship) A collaborative work (the Energy Systems Group, Northumbria and Durham University). It deals with the problem of harmonic suppression or elimination in power systems for safety and power ...
Busawon, Krishna +3 more
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Harmonic distortion is one of the disturbances that most affects the quality of the electrical system. The widespread use of power electronic systems, especially power converters, has increased harmonic and interharmonic emission in a wide range of ...
Angel Arranz-Gimon +3 more
semanticscholar +1 more source
Lorentz Harmonics, Squeeze Harmonics and Their Physical Applications [PDF]
Among the symmetries in physics, the rotation symmetry is most familiar to us. It is known that the spherical harmonics serve useful purposes when the world is rotated. Squeeze transformations are also becoming more prominent in physics, particularly in optical sciences and in high-energy physics.
Kim, Young S., Noz, Marilyn E.
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Chord-Conditioned Melody Harmonization With Controllable Harmonicity
Melody harmonization has long been closely associated with chorales composed by Johann Sebastian Bach. Previous works rarely emphasised chorale generation conditioned on chord progressions, and there has been a lack of focus on assistive compositional tools.
Shangda Wu +2 more
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ON THE CONVERGENCE OF THE EULER HARMONIC SERIES [PDF]
The aim oj this article is to study the convergence oj the Euler harmonic series. Firstly, the results concerning the convergence oj the Smaralldache and Erdos harmonic junctions are reviewed Secondly, the Euler harmonic series is proved to be convergent
Tabirca, Tatiana, Tabirca, Sabin
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The paper presents a power-quality analysis in the utility low-voltage network focusing on harmonic currents’ pollution. Usually, to forecast the modern electrical and electronic devices’ contribution to increasing the current total harmonic distortion ...
Łukasz Michalec +5 more
semanticscholar +1 more source
On bases from cosines in Lebesgue spaces with variable summability index
In this paper the perturbed system of cosines is considered. Under certain conditions on the summability index p ( ⋅ ) $p (\cdot )$ and perturbation, the basicity of this system in Lebesgue spaces L p ( ⋅ ) ( 0 , π ) $L_{p (\cdot )} (0,\pi )$ with ...
Togrul Muradov, Chingiz Hashimov
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Harmonic Voltage Synchronization Using GPS Modules for Grid-Connected Power Converters
Voltage-controlled inverters (VCI) for distributed energy resources allow operation in grid-connected and islanded conditions. Common techniques based on $P$-$f$, $Q$-$V$ droop-control use sinusoidal voltage references for the VCIs, which brings unwanted
Lucas Savoi Araujo +3 more
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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]
For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U = ϕ−1(V) ⊂ M projects down, via its horizontal component, to a ...
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