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The phrase "are obtained by inserting" 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 inserting.
Example: "The results are obtained by inserting the data into the system and running the analysis."
Alternatives: "are acquired through inserting" or "are derived from inserting".
Exact(2)
The dispersion relations and damping ratio are obtained by inserting an harmonic plane waves Ansatz into the dynamical equations of motion of the obtained effective viscoelastic anisotropic continuum.
The dynamical equations of motion are obtained for an equivalent homogenized micropolar continuum evaluated based on the homogenized properties, and the dispersion relation and damping ratio are obtained by inserting an harmonic plane waves Ansatz into these equations.
Similar(58)
A fluid sample is obtained by inserting a needle into the lumbar region of the lower back below the termination of the spinal cord; this procedure is called a lumbar puncture or spinal tap.
In a lumbar puncture, also known as a spinal tap, cerebrospinal fluid is obtained by inserting a needle through the skin in the small of the back (below the termination of the spinal cord) so that it passes between the vertebrae into the fluid sac surrounding the spinal cord and nerve roots.
A variance estimator is obtained by inserting the estimated covariance matrix in Eq. (7).
This is obtained by inserting individual bit errors in the substream, while leaving remaining bits uncorrupted. .
Parameters and can be obtained by inserting and into (33) and (34), respectively.
Simultaneous YAP1 integration and APJ1 deletion were obtained by inserting the YAP1 overexpression cassette into the APJ1 locus.
280 GHz of tuning up to 160 mW of single-frequency output has been obtained by inserting a temperature controlled birefringent filter into the cavity.
For instance, Roundup ready soybean is obtained by inserting a version of the EPSP gene, originally produced by Agrobacterium strain CP4, into a soybean plant.
Discs 6.5 mm in diameter and 1.5 mm in height of the resin without Nb2O5 and of the resins presenting the oxide were obtained by inserting the resin into a silicon matrix, followed by photo activation.
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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