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Fig. 12. Examples of computation results obtained in Case 2. As shown in Fig. 11, the computed trajectory elevation of the driftage between the initial position and the vertical wall was higher than the experimental result.
Fig. 9. Examples of computation results in Case 1.
Examples of computation of the probability of occurrence of a specific acoustic regime are also provided.
To further analyze the results of the RPS computation, one can replace the estimated instantaneous phase parameter ϕi,h by its models Equation ??: RPS i, h = θ i, h + h 2 π f s ∫ c i t i f 0 dτ + ∠ V i hf 0 ( t i ) − h · θ i, 1 + 2 π f s ∫ c i t i f 0 dτ + ∠ V i ( f 0 ( t i ) ) (8). Figure 1 Examples of computation of RPS and PD, interpolated on a continuous frequency scale.
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Some examples of computations are provided that demonstrate the high order of accuracy and the computational efficiency of the method.
Some examples of computation-guided synthesis and understanding of real polymer dielectrics are also provided, highlighting the anticipated increasing role of such computational methods in the future design of polymer dielectrics.
In the third part, we present examples of computations of noncommutative residues of some powers of the horizontal sublaplacian and the contact Laplacian on contact manifolds.
The method has been illustrated with an example of computation of the frontal modes in adsorption separation of a two-component methanol benzene mixture.
The example of computation of Map/Reduce framework is illustrated in Figure 2. In the mapper stage, the input data is split into smaller chunks corresponding to the number of mappers, and each mapper performs the operation on the data chuck.
For example, the Rapide model of computation is based on partially ordered sets of events, and its semantics is given in the Pi-calculus (Magee et al. 1995).
Similarly the integral I c may be evaluated employing the elliptic integral F. The above are an example of computations needed to evaluate one term in the BIM; there exist many such terms which are evaluated as integrals of F and E. Numerical integration is employed in evaluating the BIMs for two reasons.
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