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The behavior of these coefficients are shown to be independent from the cutting conditions and correlated with the wear state of the cutting tool.
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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.
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∇.
Equations (33) and (34) describe the limiting behavior of the coefficients of KP equation.
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.
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.
The behavior of the coefficients p i and s j for both models at different altitudes was evaluated by plotting them against the seed source and planting site altitudes.
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.
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 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).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com