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Confidence interval is an important component of approximation algorithms and indicates the proximity of each approximate result to extra result.
Given the functions f 1(X p,Y p ) and f 2(X p,Y p ), we define the derivative matrix D, the current approximate result ({vec {psi }_{k}}), and a more accurate approximation ({vec {psi }_{k+1}}) to compute ({vec {psi }_{p}}).
A closed form approximate result is constructed by Galerkin's residual technique to support and implement the method.
We also show that R-Swoosh (and F-Swoosh) can be used even when the four match and merge properties do not hold, if an "approximate" result is acceptable.
In nature, there is nothing so neat as our idealized flower algorithm; we cannot really hope to get a precise rule distinguishing between two types of flowers, but can hope only to have one that gives an approximate result with high probability.
The approximate result of (22) also fits the MC simulation curves, although discrepancies are present.
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At truncation these series lead to approximations to the kernels, from which approximate results are obtained for the first passage probability density.
Having these results, we can easily obtain the approximations in Corollary 1. □. Corollary 1 provides approximate results of ergodic rate for the weak interference scenario.
The approximate results are confirmed by Monte-Carlo simulations.
For all other combinations, only approximate results are available.
Analytical approximate results are checked by numerical integration.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com