Sentence examples for truncated function from inspiring English sources

Proof Define the truncated function F 1, the same as F in Theorem 3.2 with α replaced by α 1 and β by β 2, respectively.

This method replaces the function f by the truncated function: f U ( t, x ) = { f ( t, x ), ∥ x ∥ ≤ U f ( t, U x / ∥ x ∥ ), ∥ x ∥ > U, . and similarly for g.

Since in log-log plot the truncated function (11 - 12 11 - 12ts systexhibitshange of itsystematicen the sample size M is changed [ 20], the mofel could be co-called the empitscal shape-dependent TGDP model [ 34].

The functions f U and g U are globally Lipchitz continuous; hence, the previous proof shows that there exists a unique solution X ¯ U to equations (Equation 22) associated with the truncated functions.

For N-function M, (mathcal{T}_{0}^{1,M}(Omega)) is defined as the set of measurable functions (u Omegarightarrowmathbb{R}) such that for all (k>0) the truncated functions (T_{k} u in W_{0}^{1}L_{M}(Omega)) with (T_{k}(s)=max -k,min k,s))).

In high-pass subbands, they focus on image features, while in the low-pass subbands, they use truncated Gaussian function to approximate the effect of luminance masking [15, 16].

Most of the related literature deals with special types of functions like truncated trigonometric functions or various types of splines; see [12 15].

Figure 2 and Additional Files 1, 2 show that the truncated GDP function fits well the right-tail GDP function corresponding to the fraction of reliable and highly specific BEs.

It was proposed (Taulu and Kajola 2005) to express the magnetic field by a truncated basis function expansion, which allows description of the magnetic field by fewer basis functions than the number of physical channels.

The optimal truncated weighting function is therefore determined in order to compare their respective effects.

It was established that the strongly forward scattering by the bubbles must be accounted for and the truncated phase function (TPF) is recommended.