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Compared to other hybrid particle-in-cell approaches for the PDF equations, the current methodology is consistent without the need for consistency conditions.
Families for which the consistency conditions are satisfied are called consistent families, and it is only for this restricted class that the laws of quantum dynamics for a closed system can be used to assign a meaningful set of probabilities.
We show that physical consistency conditions on the higher-derivative terms allow only a limited frequency dependence in the conductivity.
The modification is needed to provide the satisfaction of the thermodynamic consistency conditions between adjacent elements.
The interface consistency conditions proposed in this paper are based on the conflict preorder, providing increased flexibility over previous approaches.
The plastic strain rate is then obtained by means of the corresponding plastic slip and proper consistency conditions.
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This paper investigates the new consistency condition which is weaker than the previous similar results presented.
We prove that our new remapping algorithm is conservative, reversible, and satisfies the DeBar consistency condition.
Also, the plastic consistency condition for strain rate-dependent material is satisfied.
Li Q, Li H, Kim K, El Fakhri G. Joint estimation of activity image and attenuation sinogram using time-of-flight positron emission tomography data consistency condition filtering.
This relation is subsequently used in an average consistency condition involving both solid and fluid phase stresses and strains.
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