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However, the critical Mach number is slightly lower than our value, probably because an approximation was made in Dunham and Ogden (2012) when averaging the fluid momentum equation.
In the present study such an approximation was made for the two-stage hexagonal bolt forming process of two different carbon steels for comparative study.
In these cases an approximation was made and recorded as such.
For the Patlak-like analysis an approximation was made of the activity that would be expected at a time t in a VOI due to diffusion of the injected radionuclide, VOI e (t).
Similar(56)
Since the dependency on parameters is not linear, an approximation is made using a first order Taylor expansion.
The analysis shows that the maximum buffer size, and hence the maximum latency, depends on the number of fractions an approximation is made of.
In the recent books of Gal [7, 8] (see references therein), a systematic study of the overconvergence phenomenon in a complex approximation was made for the following important classes of Bernstein-type operators: Bernstein, Bernstein-Faber, Bernstein-Butzer, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szasz-Mirakjan, Baskakov, Bernstein-Durrmeyer, and Balazs-Szabados.
A rough approximation was made here that the dark field contrast changes linearly with the GNP thickness [26], and the data from a number of smaller pseudo-spherical nanoparticles were used for the calibration.
This approximation was made in 18% of the cases.
The approximation was made visually by the laboratory technician with the help of a transparent plastic measuring scale provided by the AU manufacturer (accuracy of ±1 ml).
We calculated k as the slope of g(L), which is given as 2 λ × d / d L sinh (L ′ (t ) ) = 2 λ cosh (L ′ (t ) ), where L′ is the belief state around which the approximation was made.
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