Sentence examples for be approximated by smooth from inspiring English sources

Moreover, we prove that the minimum of the optimization problem can be approximated by smooth functions.

Since every domain in can be approximated by smooth domains from inside, it is easy to see that for the domain can be used as an approximating domain.

We also consider the performance of two variants of the planewave expansion method: (a) coupling the planewave expansion method with a regularisation technique where the discontinuous coefficients in the governing equation are approximated by smooth functions, and (b) approximating the Fourier coefficients of the discontinuous coefficients in the governing equation.

To explain the hypotheses (H4) and (H5), we notice that the step functions (M_{0}'(x)) and (m_{0}'(x)) are approximated by smooth S-shaped curves (M_{epsilon}'(x)) and (m_{epsilon}'(x)), respectively.

In practice, the Heaviside function H z) needs to be approximated by a smooth function H ε z, which is typically given by H ε z = 1 2 1 + 2 π arctan z ε (23).

For practical and feasible implementation, the Heaviside function H z) has to be approximated by a smooth function H ε (z) given typically by H ε z = 1 2 1 + 2 π arctan z ε (20).

For time-frequency points where the speech signal is inactive, the noise PSD can be approximated by recursive smoothing (45).

This smooth pattern can be approximated by a melt composition that corresponds to hypothetical pure DMM melting (purple line in Figure 3), confirming an insignificant compositional modification of the source DMM mantle by the aqueous fluid.

In addition, when mesh is refined under a given regularity condition, a sufficiently smooth target function can be approximated by its interpolated function with arbitrary accuracy, meaning that the interpolation error norm approaches to zero.

On the contrary, the observed smooth development with doping would imply that the underlying electronic structure of Bi2212 could be approximated by the same TB bands filled to different levels (Table 1).

The dynamic gain of an FBFN can be approximated by finding the maximum of norm values of the locally linearized systems or by solving a non-smooth optimal control problem.