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Proceedings of the American Mathematical Society, 1958 1. Suppose that the functions x=x(a, 3), y=y(a, f) define a oneto-one harmonic mapping of the unit disc P in the a, p3-plane (a+i3 ==y) onto a convex domain C in the x, y-plane (x+iy=z). The origin is assumed to be fixed. Introducing two functions F(y) and G(y) which, in r, depend analytically upon the variable y we may write z = Re F(,y) +i Re G(y ...
Johannes C. C. Nitsche
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A Trimming Strategy for Mass Defects in Hemispherical Resonators Based on Multi-Harmonic Analysis [PDF]
MicromachinesThis study investigates the impact of etching trimming parameters on the multiple harmonics of the mass distribution in hemispherical resonators and proposes a novel 1st harmonic trimming scheme.
Yimo Chen +6 more
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Pseudosymmetric Spaces as Generalization of Symmetric spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its ...
Bilal Bilalov +3 more
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Harmonic and relative harmonic dimensions [PDF]
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985 On an open Riemann surface R of Heins type (i.e. R is parabolic with a single ideal boundary component, \(\delta\) R), this paper considers the relationship between the harmonic dimension of the ideal boundary, dim \(\delta\) R, and the relative harmonic dimension of the ideal boundary, \(\dim_ F\delta R\).
Mitsuru Nakai, Leo Sario
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$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the present work the space $L_{p;r} $ which is continuously embedded into $L_{p} $ is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied.
Ali Huseynli, Asmar Mirzabalayeva
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Journal of Knot Theory and Its Ramifications, 2016 The harmonic knot [Formula: see text] is parametrized as [Formula: see text] where [Formula: see text], [Formula: see text] and [Formula: see text] are pairwise coprime integers and [Formula: see text] is the degree [Formula: see text] Chebyshev polynomial of the first kind. We classify the harmonic knots [Formula: see text] for [Formula: see text] We
Koseleff, Pierre-Vincent, Pecker, Daniel
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Mechanics & Industry, 2021 The flexible bearing is a key component of harmonic reducer enabling the flexspline to generate a controllable elastic deformation. Its performance and life will significantly affect the normal operation of harmonic reducer.
Yu Yang +3 more
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Mycology, 2023 A novel species of Hericium was recently collected in the Afrotemperate forests (Knysna – Amatole region) of Southern Africa. The novel species shares many similar, dentate features common to other species in Hericium, and its basidiome first appears ...
B. Van der Merwe +2 more
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International Journal of Modern Physics A, 2000 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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Harmonic Voltage Synchronization Using GPS Modules for Grid-Connected Power Converters
IEEE Open Journal of Power Electronics, 2022 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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