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The variance of residual deviations from the fit of equivalent circuit is calculated in the case of semi-replicate measurements.
This phenomenon, observed for the first time on bulk materials, is interpreted in terms of the Grinfeld instability: the associated wavelength, calculated in the case of a shear stress discontinuity at the interface between b.c.c.
In a first instance, the error due to this approximation is analytically calculated in the case of beams and the low-pass filtering effect of the finite difference schemes in the wavenumber domain is shown.
The required pumping power as well as Reynolds number increases and particle concentrations grow, which is almost 4.8 times greater than the values calculated in the case of base fluid.
The required pumping power increases as well as Reynolds number, and particle concentrations grow, which is almost 4.8 times greater than the values calculated in the case of water.
Considering equal probability for any orientation, the average can be calculated in the case of two-dimensional fractals by integrating over all directions of the scattering vector q = (p,s): langle f p, s) rangle = frac{1}{2pi} int_{0}^{2pi}f q,phi mathrm{d}phi, (25).
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The infinite series in the above expression rapidly converges when γ is not too small and thus easy to calculate in the case of a practical operation scenario.
From the experiments we drew the conclusion that OTASH is suitable for handling large amounts of flow data, and are competent to calculate in the case of single node failure.
The length of the plan is set in advance and can be calculated in the case where the sets of actions and fluents are finite to ensure the decidability of the solution search.
It is worth noting that the time complexity is calculated in the worst case of each algorithm.
Scores of individual subscales were calculated only in the case of no missing items, otherwise they were declared as missing values.
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