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Discover Ludwig'under approximation' is a correct and usable expression in written English.
It can be used to describe a situation when a lower estimate or limit of something is used for practical purposes. For example: "We used under approximation methods to determine the desired result quickly."
Exact(1)
For relaxation process under approximation of one time of relaxation (τ = τ 0 exp((U − TΔS /kT) and under condition of maximum of dependence of the imaginary part of complex dielectric permittivity (ε ′ ′ (T, f)) ωτ = 1, changes of entropy ΔS/k (see Fig. 14) and activation energy U (see Fig. 14) with water concentration were obtained.
Similar(59)
In order to deal with high-complexity problems in reasonable time, over- and under-approximation algorithms are also equipped.
Each aspect attempts to improve the under-approximation of winning regions or decrease the rank function by simplifying the structure of the parity game.
Our approach is a combination of interval arithmetic (over-approximation, aiming to decide unsatisfiability) and testing (under-approximation, aiming to decide satisfiability) to sandwich precise results.
I find however that even for the example of highly infectious measles virus (below), the under-approximation is sufficient to provide a practical lower bound.
Under this approximation, (19) and (21) are converted to functions of and as follows: (23).
Under this approximation, Eqs. 5 and 6 become overrightarrow{s_1}=widehat{tau_1}+{h}_{tau_1}widehat{r}, (25) overrightarrow{s_2}+{hdehat{tau_2}+{h}_{tau_2}widehat{r}.
In addition, under the approximation of uncorrelatedness among the local models, the global filter is shown to be minimum variance.
This method has an advantage that the total energy of the beam is conserved under paraxial approximation.
Under the approximation, the optimal solution takes the form (43). and the maximal total revenue is (44).
The code is designed by optimizing the variable node degree distribution using density evolution under Gaussian approximation [1].
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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