Sentence examples for for basis functions from inspiring English sources

However, unlike the incompressible (elliptic) case, the choice of equations to solve for basis functions in compressible problems is not trivial.

As for basis functions, we use bicubic B-splines with an interval of 2 km in both (horizontal and depth) directions.

By using the operational matrices for basis functions, spectral methods reduce the solution of fractional differential and integral equations into a solution of systems of algebraic equations which produce highly accurate solutions for these equations [22, 23, 30, 32].

Figure 7 shows the scatter plot of eignevalues for basis function 1 versus basis function 2 for the modern and historical samples.

Table 1 The relationship of the degrees and terms for basis function Degrees 3 4 5 6 7 … p Terms L 10 15 21 28 36 … (frac {(p+1)(p+2)}{2}).

Unfortunately, this algorithm is computationally very expensive and, up to now, efficient implementations exist only for basis function sets that emanate from discrete transforms.

Figure 4a shows that the control is separated from the irradiated samples; however, there is no systematic change for basis function 1 or 2 in irradiated samples with exposure time.

The filter coefficients are calculated from the covariance of basis functions for the bandpass function space.

2. We explore different combinations of basis functions for PTM.

The number of basis functions for all simulated BE sets is (38).

Figure 1 Required number of basis functions for mean square error less than 1%.