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The phrase "achieved using independent" is not complete and lacks clarity in written English.
It can be used in contexts where you are discussing outcomes or results that are obtained through independent means or methods, but it needs additional context to be fully understood.
Example: "The results of the study were achieved using independent research methods that ensured objectivity."
Alternatives: "obtained through independent" or "realized by independent".
Exact(3)
The y-axis crossover frequency is 52 Hz, which is twice that of the crossover frequency that can be achieved using independent PID controllers (26 Hz).
This is, however, one of the main quality criteria in clinical research and can only be achieved using independent performance tests.
Note that because a Hill function describes costs for many individual drugs as well as slices through many drug combination effect surfaces[ 10], collapsing the multi-drug cost curves from a given drug pair to a common Hill form can be simply achieved using independent parameters for each salicylate concentration.
Similar(57)
Display ranking was achieved using two independent methods on three independent batches of material and was remarkable consistent (See additional file 1).
Validation is achieved using an independent dataset consisting of the 10-day SSS samples derived from the HYBAM network.
The experimental results demonstrate the efficacy of the approach and significant suppression of the dominant low frequency modes in the floor is achieved using two independent acceleration feedback control loops.
This was achieved using two independent methods: quantitative analysis of EM-resolved tubulin oligomers and FC(C S analysis of a two-color labeled tubulin mix.
Overexpression of the DAGL/ inaE ortholog dagl-1 from C. elegans driven by a ubiquitous promoter dpy-30 was achieved using two independent overexpression transgenic lines, N2 ; Ex[Pdpy-30::dagl-1 GFP](3) dagl-1 GFP]Pdpy-30::dand-1::GFP](4) aN2 comparing the results obtained to the control line N2 ; Ex[Pdagl-1 GFP]. dagl-1 GFP]
The best automatic registration is achieved using user-independent SHR using low-resolutions, this often performs even better than manual registration.
Better results in this setting might be achieved using an indicator independent from thermal signals.
A reduced model was achieved using the statistically important independent factors and interactions to predict TOC degradation.
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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