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مجلة جامعة الزيتونة, 2022 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]
Metrology and Measurement Systems, 2022 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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Generalization in diffusion models arises from geometry-adaptive harmonic representation [PDF]
International Conference on Learning Representations, 2023 Deep neural networks (DNNs) trained for image denoising are able to generate high-quality samples with score-based reverse diffusion algorithms. These impressive capabilities seem to imply an escape from the curse of dimensionality, but recent reports of
Zahra Kadkhodaie +3 more
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Alternative constructions of a harmonic function for a random walk in a cone [PDF]
Electronic Journal of Probability, 2018 For a random walk killed at leaving a cone we suggest two new constructions of a positive harmonic function. These constructions allow one to remove a quite strong extendability assumption, which has been imposed in our previous paper (Denisov and ...
D. Denisov, V. Wachtel
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Univalent harmonic functions [PDF]
Transactions of the American Mathematical Society, 1987 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]
The First International Conference on Symmetry, 2018 Ministerio de Economía y ...
Quintero, Niurka R. +2 more
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Transactions of the International Society for Music Information Retrieval, 2022 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]
Abstract and Applied Analysis, 2012 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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All functions are locally $s$-harmonic up to a small error [PDF]
, 2014 We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena +2 more
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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions
Mathematics, 2020 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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