Results 1 to 10 of about 19,572,992 (202)
Potential theory for directed networks. [PDF]
PLoS ONE, 2013 Uncovering factors underlying the network formation is a long-standing challenge for data mining and network analysis. In particular, the microscopic organizing principles of directed networks are less understood than those of undirected networks.
Qian-Ming Zhang +5 more
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ISLE: Interdisciplinary Studies in Literature and Environment, 2020 Potential theory is concerned with the study of harmonic functions, namely solutions f of Laplace's equation ∆f ≡ 0. The origins of this eld lie in mathematical physics of the 19th century when it was noticed that harmonic functions play an important ...
J. Gurian
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Математичні Студії, 2023 In 1934 Lavrentiev solved the problem of maximum of product of conformal radii of two non-overlapping simply connected domains. In the case of three or more points, many authors considered estimates of a more general Mobius invariant of the form $$ T_{n}:
I. V. Denega, Ya. V. Zabolotnyi
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Dilatancy Equation Based on the Property-Dependent Plastic Potential Theory for Geomaterials
Fractal and Fractional, 2023 The dilatancy equation ignores the noncoaxiality of granular soil for the coaxial assumption of the direction of the stress and strain rate in conventional plastic potential theory, which is inconsistent with extensive laboratory tests.
Xuefeng Li, Houying Zhu, Qi Yuan
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Correction: Potential Theory for Directed Networks.
PLoS ONE, 2013 Qian-Ming Zhang +4 more
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Potentials for a three-dimensional elliptic equation with one singular coefficient and their application [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 A potential theory for a three-dimensional elliptic equation with one singular coefficient is considered. Double- and simple-layer potentials with unknown density are introduced, which are expressed in terms of the fundamental solution of the mentioned ...
Tuhtasin G. Ergashev
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Potential-Based Large-Signal Stability Analysis in DC Power Grids With Multiple Constant Power Loads
IEEE Open Access Journal of Power and Energy, 2022 The increasing adoption of power electronic devices may lead to large disturbance in DC power grids. Traditionally, the Brayton-Moser mixed potential theory is utilized to address large-signal stability (LSS) analysis.
Fangyuan Chang +3 more
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Combinatorics Meets Potential Theory [PDF]
The Electronic Journal of Combinatorics, 2016 Using potential theoretic techniques, we show how it is possible to determine the dominant asymptotics for the number of walks of length $n$, restricted to the positive quadrant and taking unit steps in a balanced set $\Gamma$. The approach is illustrated through an example of inhomogeneous space walk.
d'Arco, Philippe +2 more
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Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1 [PDF]
Opuscula Mathematica, 2018 For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.
Grigori Rozenblum, Grigory Tashchiyan
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Solving Westergaard Half-Space Problems Using Potential Theory [PDF]
Engineering and Technology Journal, 2023 The Westergaard half-space problem has been solved using the potential theory in this work. It is a classical theme in elasticity theory that seeks to find the displacements and stresses in the half-space caused by known boundary loads.
Charles Ike
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