Sentence examples for calculated using the solution from inspiring English sources
Stability conditions are obtained using Lyapunov Krasovskii functional approach; and the conditions are transformed into linear matrix inequalities with equality constraints so that observer parameters can be calculated using the solution of these inequalities.
At each voxel, the signal was calculated using the solution of the Bloch equation: where TI = 850 ms, TR = 1,800 ms and the scaling constant ρ = 10,000.
The flexibility of bMGL in solution was calculated using the root mean square fluctuations (RMSF) per residue (Fig. 6B).
Then the relative permeability is calculated using the improved solution.
The vertical surcharge pressure distribution within the soil mass is calculated using the Boussinesq solution.
The focal length, which is the necessary distance to effectively concentrate particles in a microchannel, is calculated using the analytical solution of the particle equation of motion.
The MT responses from the theoretical models (Fig. 15b) were then calculated using the analytical solution (see Chave and Jones 2012).
Assuming a linear elastic analysis, the SIF can be calculated using the analytical solution of displacements around the crack tip (Eq. 18).
Variation of water temperature in the storage tank is calculated using the transient solution of the problem over an entire year for different soil, chiller, and storage tank characteristics.
To close the mathematical model, the required quadrature nodes and weights are calculated using the analytical solution based on the Two Unequal Weights Quadrature (TUEWQ) formula derived by Attarakih et al. (Attarakih, M., Drumm, C., & Bart, H.-J., (2009), Solution of the population balance equation using the Sectional Quadrature Method of Moments (SQMOM).
