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"assumed conditions" is correct and usable in written English.
It is often used to refer to the expected or established terms or prerequisites for a certain situation. For example, "The contract was approved with the assumed conditions that the payment was made on time."
Exact(11)
They assumed conditions would improve.
A given amount of received synchrotron radiation can be explained in principle by a variety of assumed conditions.
Thus under the assumed conditions we may interpret pi, the price of state i, as a constant times the user's marginal utility for the wealth wi selected for that state.
Based on certain assumed conditions, a general numerical method is proposed to calculate the recoil impulse of free motion debris under a set of laser pulses.
This method is only efficient for the assumed conditions.
For comparing our main result with Theorem 1.1, we present the following assumed conditions and our main result.
Similar(48)
It would be ridiculous, of course, to assume conditions will remain so benign forever.
And, assuming conditions do not change, it held out little hope for much better news for the fourth quarter.
"Everybody will be happy if it can be pushed up assuming conditions are right".
Assume conditions (H1 - H9) hold.
Assume conditions (2) and (13) hold.
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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