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The Frenet frame is orthonormal so its time evolution is determined by an antisymmetric matrix.
By the linearity of the governing PDE, the system evolution is determined by the properties of the eigenvalue eigenfunction spectrum associated with the advection diffusion operator.
The stopping criterion of the evolution is determined by computing the difference in locations (defined by the x and y coordinates) of the corresponding contour points between two consecutive iterations.
In the absence of noise interactions, state evolution is determined by (idot{U}_{c}(t)={H}_{c} (t)U_{c}(t)) with (U_{c}(t)) the ideal evolution operator describing the target operation.
Including the effects of noise, however, time evolution is determined by the operator (U t)) satisfying (idot{U}(t) = ({H}_{c} (t)+H_{0}^{ z)}(t)+H_{0}^{(Omega )}(t))U t)).
The morphology evolution is determined by nonsolvent properties including the solubility parameter, surface tension and viscosity, and nonsolvent induced phase separation is the main reason for the formation of the porous and/or hollow structures.
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In their study, the damage evolution was determined by the equivalent strain, a scalar measure of the strain components.
37Cl concentration depth profile evolution was determined by Secondary Ion Mass Spectrometry or by Rutherford Backscattering Spectrometry, depending on the implantation fluence.
The domain pattern and its evolution are determined by the joint action of the domain switching driving force and the dissipation during domain switching.
The model of sequence evolution was determined by MrModeltest software v. 2.2.
The best-fit model of evolution was determined by the Likelihood Ratio Test using Modeltest 3.6 [3.6.
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