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The phrase "under two assumptions" is correct and usable in written English.
It is typically used when discussing a scenario in which two conditions or assumptions must be met in order for a certain result to occur. For example, "This model can be used to generate accurate results under two assumptions: that the data is accurate, and that the model has been set up correctly."
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That report was followed in January by one from the Congressional Budget Office estimating how much the Iraq and Afghanistan conflicts would cost from 2010 through 2019 under two assumptions.
These scenarios are prepared under two assumptions.
Figure 1 represents the production frontier line shape under two assumptions which are a nonconvex and convex technology.
This multidimensional mechanism design problem is solved under two assumptions with regard to the structures of performance measurement system and wage contract.
Under two assumptions of the disposability of undesirable outputs, the Malmquist productivity index is applied to estimate TFP without CO2 emissions over time and the Malmquist-Luenberger productivity index is employed to measure TFP with CO2 emissions over time.
In the sections below, we are devoted to study (1.3)–(1.5) by considering two questions under two assumptions as follows: Question 1. Whether there exist any criteria that solves (1.3) in some proper way?
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Asking one's friends to validate certificates scales well under three assumptions.
Below we describe three methods for computation of GR under three assumptions regarding the size of the microarray matrix.
The dependence of SEV on optimal rotation periods (under the two assumptions mentioned above) is illustrated in Fig. 3.
Under those two assumptions, the "second" default problem is actually conditional on the occurrence of the first default in the same Poisson process.
Under these two assumptions, we try to find the connection between the behavior of agents and how long the group reaches consensus.
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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