Results 81 to 90 of about 2,945,859 (241)
On elliptic problems with a nonlinearity depending on the gradient
Opuscula Mathematica, 2009 We investigate the solvability of the Neumann problem \((1.1)\) involving the nonlinearity depending on the gradient. We prove the existence of a solution when the right hand side \(f\) of the equation belongs to \(L^m(\Omega )\) with \(1 \leq m \lt 2\).
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Journal of the Mechanical Behavior of Materials, 2012 The effect of torsional prestrain gradient on the size dependence of initial yielding during subsequent tension of Cu-Mn single crystals is investigated experimentally.
Eleftheriadis Iordanis +2 more
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Wetting of Flat Gradient Surfaces [PDF]
arXiv, 2018 Gradient, chemically modified, flat surfaces enable directed transport of droplets. Calculation of apparent contact angles inherent for gradient surfaces is challenging even for atomically flat ones. Wetting of gradient, flat solid surfaces is treated within the variational approach, under which the contact line is free to move along the substrate ...
arxiv
Polarization-dependent ponderomotive gradient force in a standing wave [PDF]
Physical Review A, 2011 The ponderomotive force is derived for a relativistic charged particle entering an electromagnetic standing wave with a general three-dimensional field distribution and a nonrelativistic intensity, using a perturbation expansion method. It is shown that the well-known ponderomotive gradient force expression does not hold for this situation.
J. H. M. Kanters +5 more
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Probability-Dependent Gradient Decay in Large Margin Softmax [PDF]
arXiv, 2022 In the past few years, Softmax has become a common component in neural network frameworks. In this paper, a gradient decay hyperparameter is introduced in Softmax to control the probability-dependent gradient decay rate during training. By following the theoretical analysis and empirical results of a variety of model architectures trained on MNIST ...
arxiv
Cavity expansion of a gradient-dependent solid cylinder
International Journal of Solids and Structures, 2007 AbstractThis paper presents an elasto-plastic analysis for cavity expansion in a solid cylinder. The solid is modelled using a strain gradient plasticity model to account for the influence of microstructures on the macroscopic mechanical behaviour.
Zhao, Jidong +2 more
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Data-Dependent Stability of Stochastic Gradient Descent
, 2017 We establish a data-dependent notion of algorithmic stability for Stochastic Gradient Descent (SGD), and employ it to develop novel generalization bounds. This is in contrast to previous distribution-free algorithmic stability results for SGD which depend on the worst-case constants.
Kuzborskij, Ilja, Lampert, Christoph
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Semilinear elliptic equations with dependence on the gradient
Electronic Journal of Differential Equations, 2012 In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a asymptotically linear growth at zero and at infinity with respect to the second variable.
Guanggang Liu, Shaoyun Shi, Yucheng Wei
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FARADAY MAGNETOMETER WITH SHERIC POLE PIECES: IDENTIFICATION ZONE WITH A STABLE FORCE FACTOR
Российский технологический журнал, 2017 Basic principles and approaches in generation of devices for realization Faraday method are evaluated (for learning magnetic susceptibility of samples). It is noticed that problem exists - it is difficult to identify an operating area to coordinate here ...
A. V. Sandulyak +4 more
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NeuroImage, 2023 Measuring the time/frequency dependence of diffusion MRI is a promising approach to distinguish between the effects of different tissue microenvironments, such as membrane restriction, tissue heterogeneity, and compartmental water exchange. In this study,
Erpeng Dai +7 more
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