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These results are explained on the basis of Gibbs free energy for individual phases.
Adaptive seamless phase II/III clinical trial designs allowing treatment selection at an interim analysis have gained much attention because of their potential benefits compared to more conventional drug development programmes with separate trials for individual phases.
Trend analysis consists in estimating parameters of models for individual phases of a cycle, while harmonic analysis is based on the assumption that a time series consists of sine and cosine waves with different frequencies known as harmonics.
Mean age theory was extended here to multiphase systems by defining the scalar tracer concentration independently for individual phases, which allows mean age to be solved at steady-state for each phase independently within a multiphase system.
By calculating metastable equilibria between the substrate and the liquid solder phases and by comparing the calculated driving forces of formation for individual phases, the compound which forms first at the substrate/solder interface could be successfully predicted.
The predicted stress strain behavior was in excellent agreement with experimental measurements, and demonstrates the potential for micropillar tests to determine material parameters for individual phases of a complex microstructure.
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Also most existing fractional flow-based models consider only specific boundary conditions, which are usually Dirichlet type pressure for water phase, and flux type boundary for NAPL phase or particular combinations for individual phase.
For individual phase maps, a time series was generated for each 12-pixel diameter ROI on a uniform grid with 2-pixel spacing.
This arrangement is necessary to account for a different composition of individual phases.
As the input parameters in multiscale modeling the effective elastic modulus of the hardened cement paste, the elastic moduli of individual phases are crucial for assuring the accuracy of the homogenization estimate.
Grain growth occurred for the individual phases in TiB1.2N0.5 and TiB1.2C0.6 coatings during heating up to 1400°C from approximately 4 to 15 nm and 4 to 5 nm, respectively.
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