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The phrase "are given by using" is correct and usable in written English.
It can be used when explaining how something is provided or presented through a specific method or technique.
Example: "The results of the experiment are given by using a statistical analysis software that processes the data."
Alternatives: "are provided through" or "are presented by means of".
Exact(29)
Examples are given by using this approach.
The rigorous proofs are given by using Lyapunov theory.
Some examples are given by using our proposed algorithm.
Models (a), (d), (g), (i), (l), and (n) are given by using the "Enter" method and other models are given by using "Stepwise" method.
In [10], similar results are given by using the Ruscheweyh differential operator.
Asymptotic estimates of eigenvalues, nodal points and nodal lengths are given by using Prüfer substitution.
Similar(31)
In Section 1, a useful transformation of objective function is given by using jointly the relation between the minimum mean square error and the fractional programming method.
Death can be prevented if a victim is treated early with large amounts of fluids and electrolytes, which can be given by using oral rehydration kits.
Instruction was given by using local languages and dialects.
Rigorous proof is given by using Lyapunov theory and graph theory.
Hence unreliable friction factor value is given by using the two-third principle for this case.
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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