The Elastic Fluctuation Tensor: Quantifying Stochastic Fluctuations of the Apparent Stiffness of Non-representative Microstructure Volume Elements. [PDF]
Krause M, Schneider M.
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Nonlinear Ultrasonic Time-Domain Identification Based on Chaos Sensitivity and Its Application to Fatigue Detection of U71Mn Rail Steels. [PDF]
Li H +5 more
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Amplitude-Frequency Response Characteristics and Parameter Optimization of a Bistable Nonlinear Energy Sink Under Wide-Frequency Harmonic Excitation. [PDF]
Bao X +5 more
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A novel intelligent control using RBFNN-class topper optimization for stability enhancement in hybrid standalone microgrid. [PDF]
Myla AK, Gorantla SR.
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Harmonic spirallike functions and harmonic strongly starlike functions
Harmonic functions are natural generalizations of conformal mappings. In recent years, a lot of work have been done by some researchers who focus on harmonic starlike functions. In this paper, we aim to introduce two classes of harmonic univalent functions of the unit disk, called hereditarily $λ$-spirallike functions and hereditarily strongly starlike
Toshiyuki Sugawa +2 more
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The paper is mainly concerned with the dimensions of certain spaces of harmonic functions on a complete Riemannian manifold \(M\) of dimension \(n\). It is shown that the study of harmonic functions on \(M\) can be reduced to the study of harmonic functions on each end of \(M\).
Sung, Chiung-Jue +2 more
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Harmonic Functions on Manifolds
The Annals of Mathematics, 1997For an open manifold \(M^n\), given a point \(p\in M^n\), let \(r\) be the distance from \(p\). Define \({\mathcal H}_d(M^n)\) to be the linear space of harmonic functions with order of growth at most \(d\). The main result of this paper is a proof of the following Yau's conjecture: Conjecture. For an open manifold with nonnegative Ricci curvature, the
Colding, Tobias H. +1 more
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Sets of Harmonicity for Finely Harmonic Functions
Potential Analysis, 2004The author establishes the sharpness of a theorem of Fuglede. \textit{B. Fuglede} [Ann. Inst. Fourier 24, No. 4, 77--91 (1974; Zbl 0287.31003)] observed the following result. Let \(U\) be an open set in \({\mathbb R}^n\) (\(n\geq 2\)). If \(u\) is finely harmonic on \(U\), then there is a dense open subset \(V\) of \(U\) on which \(u\) is harmonic. The
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A Threshold Function for Harmonic Update
SIAM Journal on Discrete Mathematics, 1997Summary: Harmonic update is a randomized on-line algorithm which, given a random \(m\)-set of vertices \(U(m)\subseteq\{-1,1\}^n\) in the \(n\)-dimensional cube, generates a random vertex \(\mathbf w\in\{-1,1\}^n\) as a putative solution to the system of linear inequalities: \(\sum_{i=1}^n w_i u_i\geq 0\) for each \(\mathbf u\in U(m)\).
Shao C. Fang, Santosh S. Venkatesh
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