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The phrase "assumed above" is correct and usable in written English.
It can be used when referring to a premise or statement that has been previously mentioned or established in the text.
Example: "Based on the conditions assumed above, we can conclude that the project will be successful."
Alternatives: "presumed earlier" or "taken for granted above".
Exact(24)
As we assumed above, the FNA network consists of N 1 Macro Data-AEs and N 2 Small Cell Data-AEs.
Thus, if particles in a real nanofluid are larger than what is assumed above, scattering may cause deviations from the model.
From the definitions, we obtain begin{aligned} V = {U_{mathrm{s}} over u_{mathrm{s}}} {t_{mathrm{s}} over T_{mathrm{s}}},v end{aligned} (98)With the values assumed above, (V = 10^{-9}).
For example, under the same ideal situation assumed above, an independent replication study with a sample size of 4,000 unrelated subjects will only have ∼49% power to replicate the initial finding at a much less stringent significance level of α = 10−4.
Cofilin activity regulation via intermediate step CofReg has been assumed above, i.e., pCofDeactAtInt = 0.
The 1D fluid coupling assumed above is only valid when the height of the fluid chamber is small compared with the wavelength [ 12].
Similar(35)
We assume the above inequality throughout this paper.
Assume the above two-member supply chain (indexed by SC).
We will assume the above inequality throughout this paper.
Note that an upper bound on the system performances is obtained by assuming the above idealities.
Note that by assuming the above idealities, an upper bound on the system performances is obtained.
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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