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The phrase "are deduced by using" is correct and usable in written English.
It can be used when explaining how conclusions or results are reached through a specific method or process.
Example: "The results of the experiment are deduced by using statistical analysis to interpret the data collected."
Alternatives: "are inferred through" or "are derived from".
Exact(10)
The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions.
New interesting conservation laws for the Foucault Pendulum-like motion are deduced by using simple differential and vectorial computations.
Closed form solutions are deduced by using the U-transformation technique which leads to the uncoupling of the governing equations.
Finally, we focus our attention on some outer relative asymptotics of such polynomials, which are deduced by using the above connection formulas.
From these signals, the complex amplitudes of the incident and reflected waves propagating in the channel are deduced by using a least squares algorithm.
The governing equations of the dynamic response of non-homogeneous composite plates are deduced by using various shear deformation plate theories.
Similar(50)
In this section, some log-behavior and limits properties can be deduced by using Lemma 3.1.
Theorem A can be deduced by using the powerful method of barycentric subdivision.
The inequality (5.4) could easily be deduced by using Lemma 4.1.
To optimize switching process, the comprehensive network load index is deduced by using triangle module fusion operator.
The non-linear mathematical model of the gyro is deduced by using the nutation theory of gyroscopes.
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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