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On Euclidean Designs and Potential Energy [PDF]
The Electronic Journal of Combinatorics, 2012 We study Euclidean designs from the viewpoint of the potential energy. For a finite set in Euclidean space, we formulate a linear programming bound for the potential energy by applying harmonic analysis on a sphere. We also introduce the concept of strong Euclidean designs from the viewpoint of the linear programming bound, and we give a Fisher type ...
Tsuyoshi Miezaki, Makoto Tagami
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Description of energy levels and decay properties in 158Gd nucleus [PDF]
Ядерна фізика та енергетика, 2023 In this paper, IBM-1 and IBM-2 with a SU(3) limit are used to describe the 158Gd isotope. The calculations of energy levels in the ground state, beta-, and gamma-bands are made up, which account for 15 energy levels.
Fahmi Sh. Radhi +6 more
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Variational Methods for Atoms and the Virial Theorem
Atoms, 2022 In the case of the one-electron Dirac equation with a point nucleus, the virial theorem (VT) states that the ratio of the kinetic energy to potential energy is exactly −1, a ratio that can be an independent test of the accuracy of a computed solution ...
Charlotte Froese Fischer +1 more
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Investigation to the influence of additional magnets positions on four-magnet bi-stable piezoelectric energy harvester [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 Although the study of oscillatory motion has a long history, going back four centuries, it is still an active subject of scientific research. In this review paper prospective research directions in the field of mechanical vibrations were pointed out ...
Xinxin Li +6 more
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The Potential Energy of an Autoencoder [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015 Autoencoders are popular feature learning models, that are conceptually simple, easy to train and allow for efficient inference. Recent work has shown how certain autoencoders can be associated with an energy landscape, akin to negative log-probability in a probabilistic model, which measures how well the autoencoder can represent regions in the input ...
Hanna Kamyshanska, Roland Memisevic
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Resonant Combustion Start Considering Potential Energy of Free-Piston Engine Generator
Energies, 2020 Free-piston engine generators without a crank mechanism are expected to be used in series hybrid vehicles because of their lower losses. The series hybrid system requires a low starting thrust because the engine frequently starts depending on the battery
Mitsuhide Sato +3 more
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Atmosphere, 2021 Atmospheric gravity waves play a crucial role in affecting atmospheric circulation, energy transportation, thermal structure, and chemical composition. Using ERA5 temperature data, the present study investigates the tropospheric to the lower mesospheric ...
Shih-Sian Yang, Chen-Jeih Pan, Uma Das
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Potential energy catastrophe failure mechanism of “filling body-coal pillar” composite structure
Meikuang Anquan, 2022 In order to study the stability of “filling body-coal pillar” composite structure in roadway backfilling mining, the bearing characteristics of composite structure are analyzed.
WANG Shuokang +2 more
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Certification and the potential energy landscape [PDF]
The Journal of Chemical Physics, 2014 Typically, there is no guarantee that a numerical approximation obtained using standard nonlinear equation solvers is indeed an actual solution, meaning that it lies in the quadratic convergence basin. Instead, it may lie only in the linear convergence basin, or even in a chaotic region, and hence not converge to the corresponding stationary point when
Dhagash Mehta +2 more
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