Results 1 to 10 of about 650,601 (249)
In this paper, we present an innovative idea of the harmonic functions. In order to do this, we first present the most important theories related to harmonic functions and put forward the idea of harmonic conjugate.
Abdulbasit Abdulrahman +2 more
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Analysis and application of real-time compensation of positioning precision of the turntable with a harmonic function [PDF]
In order to guarantee the accuracy of turntable angle measurement, a real-time compensation method for turntable positioning precision based on harmonic analysis is proposed in this paper.
Yi Zhou +5 more
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Univalent harmonic functions [PDF]
Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Hengartner, W., Schober, G.
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Functionals of Harmonics Functions [PDF]
Ministerio de Economía y ...
Quintero, Niurka R. +2 more
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We implement a novel approach to automatic harmonic analysis using a clustering method on pitch-class vectors (chroma vectors). The advantage of this method is its lack of top-down assumptions, allowing us to objectively validate the basic music theory ...
Jason Yust, Jaeseong Lee, Eugene Pinsky
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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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The subject of study is the Green's functions of the first and second boundary value problems for the Laplace equation. The study constructs the Green's functions of the first and second boundary value problems for the Laplace equation in space with a ...
Oleksii Nikolaev +2 more
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Studying the Harmonic Functions Associated with Quantum Calculus
Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched and examined.
Abdullah Alsoboh +3 more
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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions
The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
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Multiply Harmonic Functions [PDF]
Let Ω and Ω′ be two locally compact, connected Hausdorff spaces having countable bases. On each of the spaces is defined a system of harmonic functions satisfying the axioms of M. Brelot [2]. The following is the description of such a system. To each open set of Ω is assigned a vector space of finite continuous functions, called the harmonic functions,
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