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The phrase "approximated assuming" is correct and usable in written English.
It can be used in contexts where you are discussing estimates or calculations based on certain assumptions.
Example: "The results were approximated assuming a constant rate of growth over the period."
Alternatives: "estimated based on" or "calculated under the assumption of".
Exact(4)
Volume was approximated assuming the shape of an ellipse: (4/3) × (a × b × c).
The pulsed sparging operation was approximated assuming uniform contaminant redistribution at the beginning of the shut-off period.
The performance of the ECD in terms of probability of detection can be approximated assuming that the two decisions are independent or can be obtained through simulation.
KIEs related to multiply labeled isotopomers were approximated assuming effects are cumulative [ 28].
Similar(56)
The partition of power between the direct and reverberant fields is approximated by assuming a circular plate with an equivalent surface area.
The general observation that large fires burning for some time over undulating topography can be approximated by assuming fire spread over flat ground is used to construct a quasi-empirical model framework for downslope rate of spread correction called kataburn.
These analyses are used to estimate how well the void shape evolution would be approximated by assuming that the presence of the particle in the material adjacent to the void can be neglected.
The elastic post-torsional-buckling behaviour of a simply supported cruciform column has been analysed, and its strength has been approximated by assuming that it fails when it first yields due to the maximum normal stress induced by the axial compression.
This difference was approximated by assuming an isotropic scattering emission in the analytical scatter model (see Appendix 1).
Cartilage thickness could be approximated by assuming everything is a sphere and calculating the radii based on surface area and volume calculations.
However, a high-end estimate of the change in surface area can be approximated by assuming the seed crystals were individual cubes with smooth faces and that precipitation occurred as uniform epitaxial growth on all faces.
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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