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In order to decrease the approximation, the analysis takes into account the distribution of the number of collision-set-n.
Thus, though it is approximation, the analysis of the MMSE receiver can be done with the same procedure as that of the ZF receiver.
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Due to the approximation in the analysis, slight differences may be noticed among the simulation and analytical results.
The thin sheet approximation simplifies the analysis, but it is not always a sufficiently accurate description of the ionosphere.
This is not an unrealistic approximation in the analysis, because the number of pinwheels in V1 is rather large, typically several thousands [8].
A common approximation in the analysis of non-classically damped systems is to ignore the off-diagonal elements of the modal damping matrix.
Due to the approximation in the analysis, however, binary MA based on distance does not work as well as binary MA based on uplink path loss, which used an exhaustive search to find the optimum path-loss threshold and is not practical.
This highly simplistic assumption, substantiated by an enormous amount of evidence both from the point of view of the ribosome and that of the mitochondrion, will serve as a first approximation toward the analysis of the pathogenic potential of mt-rRNA mutations.
In order to show the performance improvement in terms of computational cost and time of direct SS approximation in the analysis of stochastic biochemical networks, we benchmarked the method by comparing it with Gillespie's stochastic simulation algorithm (SSA) method [ 9] for numerical calculations of stochastic biochemical networks.
The applicability of one-dimensional approximations in the analysis of CVD reactors is also evaluated.
The next section describes the test data, the spatial individual-based models, perfect plasticity approximations, and the analysis of simulation output.
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