The phrase "upon these assumptions" is correct and usable in written English.
You can use it to refer to a set of assumptions that have been stated or accepted. For example: "Our report was based upon these assumptions, which were stated in the introduction."
Conspiracy theories extend upon that and tap into these assumptions and fears we have about the world.
This allows inferences to be made about optimal resource allocation and competition, contingent upon these simplifying assumptions, but does not allow generalization to more than two competitors.
These assumptions were based upon the study in people with T2DM.
This problematic behavior occurs because BI's accuracy depends upon explicit assumptions about the distributions of branch lengths, and these assumptions are wrong for most specific datasets even if they are correct on average.
One lesson we should have learned from Vietnam: If one's underlying assumptions are wrong, all of one's decisions based upon those assumptions are probably wrong.
It is not surprising that projections based upon the assumptions from these external sources frequently end in pessimism.
These prediction equations have been tested upon the assumptions of the regression analysis that focused upon the nature of the error and the relations among the independent variables.
Cookson concludes: "Based upon the assumptions and analysis outlined in this report, the net saving could be significantly less than half of the government's prediction.
Many of these researchers rely upon the assumption that each such strain can be clonally propagated in the laboratory [74], [75] simply by isolating a hermaphrodite and its offspring, which supposedly reproduce only by selfing.
These results depend upon the assumption that there are no unmeasured confounders for the exposure outcome, exposure mediator and mediator outcome relations [ 18].
We note that several of these papers are based upon the assumption that the effective masses of δ-doped P in Si remain unchanged from bulk-doped values[38, 39], an assumption which has been challenged[30, 33].
