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The phrase "achieved by assuming" is correct and usable in written English.
It can be used in contexts where you want to indicate that a certain outcome or result is obtained through a process of assumption.
Example: "The results of the experiment were achieved by assuming that all variables remained constant throughout the study."
Alternatives: "obtained through the assumption" or "realized by presuming".
Exact(39)
European unity cannot be achieved by assuming away differences, but by recognising them.
Rather, it was a stealth gain, achieved by assuming a rise of a quarter of a percentage point in the trend rate of economic growth.
Growth isn't modeled and achieved by assuming growth.
The minimum annual equivalent cost is achieved by assuming a design storage pressure of 4000 kPa.
The simulated results are achieved by assuming the false alarm probability is 0.1, 0.2, and 0.3, respectively.
This is achieved by assuming all members of the MF are axially rigid and constitute an unstable mechanism (Fig. 5a).
Similar(21)
In these works, block sparsity is achieved by either assuming that the several channel instantiations are group-sparse, locations of the nonzero channel coefficients are same, [15] or concatenating multiple CIRs of different antennas with common support in a block sparse structure [13, 14].
The aim of restricted network complexity was also achieved by only assuming linear associations between the individual components of the network, allowing a more reliable modeling of data with considerable noise.
We achieved this by assuming that phosphorylated, i.e. activated, Hog1 (P-Hog1) stimulates the production of intracellular glycerol (Figure 1, reaction v11 in Figure S1 in Supporting Information S1).
This is achieved by an assumed-time-modes approach in conjunction with a direct application of Hamilton's law of varying action.
There are other ways in which an observed gradual increase in tumour risk after parameter perturbation could be achieved, in particular by assuming a random tumour growth rate, or by using a quantal response rate, relating probability of tumour detection to size, as outlined by Bartoszyński et al. [ 125].
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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