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The phrase "are obtained by introducing" is correct and usable in written English.
It can be used in contexts where you are explaining a process or method of acquiring something through the act of introducing a particular element or factor.
Example: "The desired results are obtained by introducing a new variable into the experiment."
Alternatives: "are achieved by adding" or "are acquired through the introduction of".
Exact(12)
The commonly used approaches are obtained by introducing the time dependency into the Fourier analysis using the time-windowing technique.
Pure modes based on 2D elasticity are obtained by introducing correction factors into the beam-theory-based mechanical conditions.
The nanocomposites are obtained by introducing the oSWCNT into the reaction mixture whilst the synthesis of PBT.
The partial safety factors of such pipes are obtained by introducing a target reliability index and using a combination of Monte-Carlo simulation and FORM.
Second, the boundary contour method formulations are obtained by introducing quadratic shape functions and Green's functions [Ding, H.J., Jiang, A.M., 2004.
We first consider equations for the slow variables h, m 1 and m 2. These equations are obtained by introducing the slow time scale, τ = ϵ t, and then setting ϵ = 0 in the resulting equations.
Similar(48)
A picture of renal circulation can be obtained by introducing a radiopaque substance into the renal arteries via a catheter tube placed through a more peripheral artery in the groin area.
A uniform solution of both problems is obtained by introducing the notion of a truth value.
A transformant Ac10-Rifr/pHA12-dhaB Ac10-Rifr/pHA12-dhaB Ac10-Rifr/pHA12-dhaBinto Ac10-Rifr.
The perfect lattice matching can even be obtained by introducing 2% of nitrogen in GaP.
In the case of a circular orbit, an analytical solution is obtained by introducing certain assumptions.
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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