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The phrase "additionally assuming that" is correct and usable in written English.
It can be used when introducing a further assumption or condition in a discussion or argument.
Example: "Additionally assuming that the data is accurate, we can proceed with the analysis."
Alternatives: "further assuming that" or "also presuming that".
Exact(5)
Additionally, assuming that τ="βHU, where H is the nozzle-to-plate distance and U is the mean jet velocity, it is shown that βDisc= 1.8, βCCC= 1.03, and βEnv= 1.0.
Estimates were also made by additionally assuming that even the mortalities owing to other causes of death were all equal to those in the highest category.
Additionally, assuming that the items are treated as continuous variables, the descriptive statistical analysis was calculated, the floor and ceiling effect was tested, and the discriminatory capacity of the questions and their distribution were studied.
Additionally, assuming that in composite scales the pain intensity is reflected in the total pain score (sum of the scores for each item) we considered the percentage of change in pain scores, after surgery, postoperative analgesia and time, in relation to the maximum score of the scale (30 points).
Additionally, assuming that 5 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} d_1&< 2a_1-1 p_1 2a_1-1 p_1r \nonumber_1p_1(d_i+p_i)-2a_ip_i(d_1+p_1), \\uad \mathrm{for} \;\; i=2,\dots,n-1.
Similar(55)
Additionally assume that ∇ k f ( a ) = 0, for k = p, …, m − 1.
Corollary 4.2 According to Theorem 4.1, additionally assume that φ ( x, x ) ≥ 0 for all x ∈ X.
Since β k → β, we may additionally assume that β k ⩽ β + ε.
Many will additionally assume that their primary partner (who may or may not be aware of these extraneous sexual activities) will similarly be buffered from the risk of becoming infected.
We additionally assume that the partitions satisfy the following condition.
We additionally assume that the antenna spacing is sufficiently large so that the antennas are uncorrelated.
More suggestions(14)
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additionally requesting that
additionally suggesting that
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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