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The phrase "above mentioned assumption" is not correct in standard written English.
The correct form is "aforementioned assumption."
Example: "In the report, we will analyze the aforementioned assumption regarding market trends."
Alternatives: "previously mentioned assumption" or "earlier stated assumption."
Exact(3)
Setting the value of the parameters T and b i will be discussed in the parameter settings section (Section 5.3), and we will see that with the values used for T, the above mentioned assumption holds.
The corresponding distribution plot of synonymous codons ending with different bases along the two axes was implemented under the above mentioned assumption.
This is in line with the above mentioned assumption underlying our prioritization method, that multiple QTL regions for a trait reflect variation in genes involved in the same biological process.
Similar(57)
Formulations are verified by conducting analogous modal measurements and by comparing predictions with those obtained using the Rayleigh Ritz method (without making any of the above mentioned assumptions).
In addition, the commodity's marginal WTP with respect to quality, ϕ s, and the commodity's marginal WTA with respect to quality, ω s, should also meet at an equilibrium, according to the above mentioned assumptions.
Although Auto GMM-SAMT was primarily desgined for visual monitoring of airport aprons, it can also be applied for similar scenarios like traffic control or video surveillance of streets and parking lots as long as the above mentioned assumptions of the traffic scenario are valid.
Because no study to date has tested the four above mentioned assumptions, the aim of the present study was to examine whether these assumptions were fulfilled when using EM in a sample of kidney transplant patients.
In the above mentioned results, the assumptions of mixed monotone property and contraction property of the mapping Ψ are essential.
It should be noted that the above mentioned results are based on the assumption that the mesh size is uniformly bounded.
Four studies mentioned assumptions regarding drug effects while the rest did not mention assumptions.
Unfortunately, almost all of the above mentioned works on the synchronization problem of complex networks are built upon the assumption that switching probabilities are known precisely.
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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