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Interval arithmetic is introduced to directly evaluate the bounds of interval functions and eliminate the inner loop optimization.
Meanwhile, a hull iterative algorithm (HIA) for solving this model is presented to evaluate the bounds of the natural frequencies.
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Thus, a number of works have been presented by researchers to evaluate the bounds and trace bounds for the solution of the ARE (see [6 16]).
Thus, a number of works have been presented by researchers to evaluate the bounds and trace bounds for the solution of the (ARE) [6 12].
Figures 2, 3, and 4 have clearly shown a number of patterns: (a) all the three indices to evaluate the upper bounds of iterations, namely, ρ J(B) of (23a), ρ J l) of (23b), and ρ J of (23c), behave more or less similarly for each of the three methods LLL, SLLL, and DEEP.
Denoting n S = | S | and n L = | L |, i.e., n F = n S + n L, we evaluate the upper bound of the average cross-tier interference at MUE as E [ S m ( p s W ( i ), γ m q ) ] < n S S m q n F + n L S m q n F = S m q, (21).
Nonetheless, assuming a constant rate in this model is useful for understanding the relationship between the quantities of protein secreted and that captured on the surface, and evaluating the upper bounds of analyte binding over the course of an experiment.
At first, a method of evaluating the upper bound of singular perturbation parameter ϵ with meeting a prescribed H∞ performance bound requirement is given.
Also in this subsection, special attention is given to study the convergence analysis and evaluating the upper bound of the error of the proposed formula.
In this section, we have conducted a numerical study to evaluate the resulting bounds on the MRL of the PCOSs M s, n, N R ~ ( t ) - m ( t ) / σ ( t ).
In order to evaluate the conservativeness of the bounds derived above we compute the CVs in a numerical example.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com