Sentence examples for the smooth functions from inspiring English sources

for the smooth functions,.

The smooth functions are used in place of discontinuous functions.

Compute the smooth functions h 1 x, ψ n and h 2 x, ψ n.   3.

In general, the smooth functions are not dense in (W^{1,p(x)}(Omega)) (see [21]).

Several properties for the smooth functions u 0, ε are stated in the following lemma.

Since (y_{varepsilon }) are the smooth functions, we obviously have (u_{varepsilon }in L^{p}(Omega)).

However, the smooth functions f1 and f2 are computed directly from (9) but no longer obtained by solving equations.

The space W∗ is not reflexive and the smooth functions are not dense in it for the strong topology.

where the non-linear effects of age and alt on the slope B are represented by the smooth functions m 1b (age) and m 2b (alt).

In the GAM framework, the roughness of the smooth functions must be quantified in order to avoid overfitting during the parameter estimation process (e.g. Wood 2006a).

Then the resultant frequency variation corresponding to the smooth functions is subtracted from the signal by heterodyning to apply another narrow-band filter.