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The phrase "assuming this version" is correct and usable in written English.
It can be used when you want to indicate that you are considering a specific version of something as a basis for discussion or analysis.
Example: "Assuming this version of the report is accurate, we can proceed with the next steps in the project."
Alternatives: "if we take this version" or "given this version".
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After all, the study was specifically designed to investigate the effectiveness of Primary Care Triple P in NICU graduates, assuming this version of Triple P to be effective for healthy term-born children.
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Since we assume in this version of the matching procedure that the excess UC rejections in the post-Prop 209 regime represent the least prepared minority students, in contrast to the previous assumption that the distribution did not change, we consider this method a lower bound on behavioral response, and therefore also an upper bound on the effect of selection.
In the general stop-training condition, stop-signal delay was dynamically adjusted and the stimulus-stop mapping was inconsistent; it is generally assumed that this version of the task involves top-down response inhibition.
(Assuming the version shown here is the one it ends up going with).
At first I assumed this was Mama's version of traveling etiquette, but now I realize that she understood road rage long before anyone held up traffic trying to read road signs through the wrong part of skinny designer bifocals.
This is also equivalent to conservation of the volume of the �� phase since density has been assumed constant in this version of the model.
Going further, if one assumes ADL then this version of CH holds for all sets of real numbers appearing in L. Since these hypotheses follow from large cardinal axioms one also has that stronger and stronger large cardinal assumptions secure stronger and stronger versions of this version of the effective continuum hypothesis.
One big remaining uncertainty about health reform — assuming some version of it passes — is how much it will do on this front.
In particular, we propose a formal solution to a puzzle composed of non-trivial objects (such as holes and strings) assuming a version of the Situation Calculus written over first-order Equilibrium Logic, whose models generalise the stable model semantics.
I use a dedicated Twitter client, FaceBook client, and LinkedIn client rather than load the mobile version of those sites (assuming a mobile version even exists!).
(This claim assumes some version of Lewis' (1980) Principal Principle, and it is controversial whether or not this principle is analytic; hence the scare quotes).
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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