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Note that the two twiddle factors will still have the same pattern even if the twiddle factors have already been transformed: as shown in Fig. 19, after transforming W m, the two twiddle factors after the butterfly can still be (W_{N}^{k^{prime }}) and (W_{N}^{k^{prime }+frac {N}{4}}), if we consider k ′=k−m.

Therefore, the first step of the federation algorithm iteratively applies transformations T1, T2, T3 and T4 as defined in Equations (T1 T4) to the given policy P until no more sub-policies can be transformed, as shown in Algorithm 2. Algorithm 2 Definition of thenormalize method.

The magnitudes of both data series were equalized or normalized calculating the fold-change between each time point and the average value, then log2 transformed as shown in Figure  5.

The smaller the number of lifting steps, the lower the overall latency of the transform, as shown in [32].

The parts are split up based on their functions in the watershed transform as shown in Figure 1.

After the probe is computed, we can either output the full probe diffraction pattern, or more commonly integrate a subset of the probe intensity after taking its Fourier transform, as shown in Fig. 1f.

The performance degradation, particularly around the regions with dense scatterers, is evident in Figure 11.In the proposed two-stage technique, we first obtain eight coarse-resolution images through the Fourier transform, as shown in Figure 12.

Malignantly transformed As-CSCs showed a 230% increase in free-floating spheres over control.

The main steps of our GPU-based shearlet transform are as shown in Table 2.

First, we extract five primary lines from the top, left, right and bottom contours of the TV monitor using Canny Edge detector [14] and Hough Transform as shown in Fig. 2 (left).

Write out the sum of the Laplace transforms of each part of the discontinuous function, using the limits specified, rather than the usual 0 to ∞. Write out the sum of the Laplace transforms of each part of the discontinuous function, using the limits specified, rather than the usual 0 to ∞. Calculate the Laplace transforms as shown above.