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Example 5.8 In equation (5.4) if h ( s, t ) = 1 is taken, then a timelike hyperboloid surface is obtained as given in Figure 8. Figure 8 Timelike hyperboloid.

Example 5.4 If we take h ( s, t ) = 1 in equation (5.2) the timelike cylinder surface is obtained as given in Figure 4. Figure 4 Timelike cylinder.

The developed initial soil model and velocity model are combined, and the final soil model is obtained as given in Fig. 8.

Example 5.2 If we take h ( s, t ) = 1 in equation (5.1) the spacelike cylinder surface is obtained as given in Figure 2. Figure 2 Spacelike cylinder.

Example 5.6 In equation (5.3) if h ( s, t ) = 1 is taken, then a spacelike hyperboloid surface is obtained as given by Figure 6. Figure 6 Spacelike hyperboloid.

and a new conjugate gradient direction vector is obtained as given by mathbf{d}_{j+1}[!i] = -mathbf{g}_{j+1}[!i] + beta_{j}[!i]mathbf{d}_{j}[!i] (46).

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The interfering sets of each user can be obtained as given in Table 1.

Applying the Kirchhoff's current law for each phase, three-phase circuit equations for each inverter are obtained as given in (3) and (4).

A relationship of lower correlation (R 2  = 0.74) was obtained as given by Eq. (13) for database pertaining to all samples which reflects the soil type effect.

The parameters (r_{{{text{eps}},o}},N_{{{text{minpts}},o}}) for a sub-optimal partition of load data can be obtained as given below: 1. Set arbitrarily (r_{text{eps}},N_{text{minpts}}) to generate set B;   2.

For linear MUD, the detected symbols can be obtained as given by hat{mathbf{b}}_{r_{m,n}d,k}=Q left left(mathbf{w}^{k}_{r_{m,n}d}right)^{H} mathbf{y}_{r_{m,n}d} right), (6).

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