The small scale turbulence was modelled by direct calculation of the turbulent stress tensor using filtered particle image velocimetry data.
The nontrivial topological feature is confirmed by direct calculation of Z2 invariant (Z2 = 1) indicating that TMC6 is quantum spin Hall (QSH) insulator.
Internal stress fields were evaluated by direct calculation of principal stress components from the experimentally measured lattice strains as well as by employing an inverse finite element modeling approach.
We obtain the proof by direct calculation of the index m.
(c) We obtain the proof by direct calculation of the index m.
Moreover, for quantitative sensitivity analyses, the MCA [ 36, 37] were carried out by direct calculations of the concentration control coefficient from the calculations using ODE simulations.
Then, for the case of and the case of, by direct calculation, it is easy to check that is a bounding pair of BVP (5.1) and all assumptions of Theorems 3.1 and 4.2 are fulfilled, respectively.
The solar wind is generally super-Alfvénic near Earth, as backed up by a direct calculation of the Alfvén speed being 100 km/s, and OMNI's indicated Alfvén Mach number of about 5, so we conclude that such effects should be small.
Serial whole-body micro-PET images were performed at 1 week (PET-1) and 20 weeks after the end of treatment (PET-2) in the treated mice to monitor the tumor volume by a direct calculation of the volume of interest (VOI) estimated semiquantitatively.
It is shown, for example, by direct calculation, that the forward equation of probability balance is exact when combined with a dichotomic Markov process to describe the random physical behaviour of a medium, whereas the backward equation contains errors.
By direct calculation, we have the eigenvalues of Ω, lambda_{i}=frac{Delta_{i}pmsqrt{( Delta _{i})^{2}-4}}{2},quad i=1,2,ldots,m.
