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The reduced model provides a good approximation of the main operations performed in the pipeline with a smaller computational cost, allowing its use for advanced controller design.
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We derive analytical approximations for the main characteristics of the protein concentration profiles and demonstrate what we believe to be a novel steady-state pattern formation mechanism capable of generating precise spatial guidance for diverse cellular processes.
Scrutiny of the UK data suggest that to a first approximation, the duration of the main period of flushing can be predicted to endure around four times as long as the foregoing process of mine flooding.
As this optimization problem is computationally NP-hard [ 58], we provide an efficient approximation algorithm, the main stages of which are presented in Figure 3 and below.
Moreover, we use the following lemmas to show the existence and uniqueness of the solution for the penalty approximation of our main problem.
In the last decade, the applications of q-calculus in the approximation theory is one of the main areas of research.
In recent years, the applications of q-calculus in the approximation theory is one of the main areas of research.
These field lines are extrapolated using the nonlinear force-free field (NLFFF) approximation; this is one of the main topics of this paper.
After this, the applications of q-calculus in the approximation theory became one of the main areas of research; many authors studied new classes of q-generalized operators (for instance, see [4 11]).
There are various methods for this kind of matrix decomposition but most of them are based on the minimization of the approximation error, so the main difference between those methods lays in the used optimization algorithms.
During the last decade, the applications of q-calculus in the approximation theory have become one of the main area of research, q-calculus has been extensively used for constructing various generalizations of many classical approximation processes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com