Results 321 to 330 of about 3,188,796 (338)
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Gradient Dependence of the Intrinsic Viscosity of Linear Macromolecules
, 1956The decrease of intrinsic viscosity with increasing gradient was found with all linear macromolecules investigated at high enough molecular weight irrespective of the solvent.
A. Peterlin, M. Copic
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Learning long-term dependencies with gradient descent is difficult [PDF]
IEEE Transactions on Neural Networks, 1994 Recurrent neural networks can be used to map input sequences to output sequences, such as for recognition, production or prediction problems. However, practical difficulties have been reported in training recurrent neural networks to perform tasks in which the temporal contingencies present in the input/output sequences span long intervals. We show why
BENGIO Y, SIMARD P, FRASCONI, PAOLO
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Gradient Dependence of Intrinsic Viscosity of Freely Flexible Linear Macromolecules
, 1960In laminar flow the randomly coiled macromolecule expands nonuniformly. The averaged distances between close‐by chain elements increase much slower than those between elements situated far away on the molecular chain.
A. Peterlin
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Time-dependent gradient perturbations of fractional Laplacian
Journal of Evolution Equations, 2010We construct a fundamental solution of the equation {\partial_t - \Delta^{\alpha/2} - b(\cdot, \cdot) \cdot\nabla_{x} = 0} for TeX{\alpha \in (1, 2)} and b satisfying a certain integral space-time condition. We also show it has α-stable upper and lower bounds.
Tomasz Jakubowski +2 more
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Effective field gradient dependence on write field rise time
, 1996An analytic expression has been obtained for the field gradient of a recording head at the moment that the write process is completed. Although the head gap is assumed to be much less than the fly height, expressions for the effective spacing of wide gap
M. Mallary
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Positive solutions of polyharmonic equations with strong dependence on the gradient
Complex Variables and Elliptic Equations, 2007We study existence and nonexistence of positive, spherically symmetric solutions of polyharmonic boundary value problems, with strong dependence on the gradient on the right-hand side. The existence proof is constructive, with solutions possessing explicit integral representation.
J. Kraljević +5 more
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Gradient-Dependent Damage Constitutive: The Second-Order Gradient Damage Model
Characterization, Modeling, and Performance of Geomaterials, 2009When the strain tensor, the scalar damage quantity and the Laplacian thereof serve as the state variables of Helmholtz free energy, the general expressions of elasticity-gradient damage constitutive equations are derived directly from the basic law of irreversible thermodynamics by constitutive functional expansion method at the initial state.
Ying-ren Zheng +4 more
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Gradient Dependent Fatigue Limit Criterion
1999Experimental evidence has shown that the fatigue limit of metallic cylindrical specimens in fully reversed bending is significantly higher than the respective limit in fully reversed tension-compression. The higher values of the bending fatigue limits observed have to be attributed to the benign influence of the gradient of the bending normal stress on
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Time-dependent gradients of growing interfaces
Physical Review E, 1994G Zumofen, G Poupart
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