Sentence examples for behavior of the coefficient from inspiring English sources

In this paper under some restrictions on the graininess of the time scale and the asymptotic behavior of the coefficient w ( t ), we obtain an explicit Jeffreys, Wentzel, Kramers and Brillouin (JWKB) asymptotic representation of solutions of (1.1).

The general behavior of the coefficient of restitution observed in many experiments can be modelled for solid spheres as well as spherical drops by the use of a unique simple correlation depending on this Stokes number.

This explains the overall behavior of the coefficient of variation (c_text{v}) of a simple tomogram slice when plotted versus the number N of tilt series (Fig. 5); (c_text{v}) is defined as the ratio of the standard deviation to the mean of the pixel values.

The scratch tests were performed over the surface of the nickel boride layer-substrate systems using a Rockwell-C diamond indenter with a continuously increasing normal force from 1 to 80 N, whereas the behavior of the coefficient of friction and the residual depth as a function of the scratch length were monitored during the tests.

In Figs. 13 (A) and 13 (B), the behavior of the coefficient a n is shown where one can observe the curve made by the method of least squares for a order 2 polynomial in the case of the refraction index (see Table 3).

Equations (33) and (34) describe the limiting behavior of the coefficients of KP equation.

To analyze the behavior of the coefficients, it is necessary to invert the Gabor frame operator on these spaces.

We also obtain an upper bound for the density, which again leads to an unusual estimate due to the bad behavior of the coefficients.

end{aligned} The rate of spread of tumor (R_{s}) and the behavior of the coefficients (A_{0}), (A_{1}), (A_{2}), and (A_{3}) of the cubic equation above lead us to the statement and proof of the following theorem.

We obtain various sufficient conditions on the behavior of the coefficients near the boundary of Ω which ensure the essential self-adjointness or stochastic completeness of the symmetric form of the drift-diffusion operator, −1ρ∞∇⋅ρ∞D∇.

In the case of the scattering coefficient was obtained a linear behavior of the coefficients a n and b n of the Fourier series expansion.