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The phrase "a certain assumption" is correct and usable in written English.
It can be used when referring to a specific but unspecified assumption that is relevant to the context.
Example: "In our discussion, we need to address a certain assumption that underlies our analysis."
Alternatives: "a specific assumption" or "a particular assumption".
Exact(8)
Now, we consider half-continuity of multivalued mappings and prove that under a certain assumption they have fixed point.
In a previous paper [9] this problem was addressed by a linearizing change of variables approach under a certain assumption on the structure of the algebraic equations within the system description.
In Section 2, we give the theorems in the space (L_{infty}(mathbb{R})), and we also make a certain assumption and some notations which are needed in order to state the theorems.
When the characteristic set on the boundary satisfies a certain assumption, the authors in [24, 25] can show the well-posedness to both isentropic fluids and heat-conductive fluids containing inflow boundary with small Reynolds number, but not infinitesimally small, and small Mach number.
If there is a contradiction or incompatibility between the at-issue expression and a certain assumption or the presupposition inferable from a preceding proposition over and above the sense of exhaustivity and maximality, then 都 to 1 will be construed as a modal particle featuring the concessive meaning.
It's a system of values, unconsciously grounded in race and class, that creates a certain assumption of who we value, who is deserving and who belongs.
Similar(51)
To transform the random utility model into a choice model, certain assumption about the joint distribution of the vector of random error terms is required.
However, to the author knowledge, most of the approaches focus on directly modeling how the position of the animal changes in real physical space, rather than trying to build a model based on certain assumption of the internal mechanism.
In determining the Fourier series of a function, certain assumptions are made namely, the series exists and the series uniformly converges within the given interval.
In this scheme, communication is possible between the specified source and destination in VANETs under a certain mathematical assumption.
Behind the Obama doctrine lurks a certain implicit assumption: that a safety net of international norms can both cushion the relative decline of the United States and contain the rise of other powers like China.
More suggestions(15)
a certain theory
a certain expectation
a certain notion
a particular assumption
a clear assumption
a certain conjecture
a confident assumption
a certain hypothesis
a certain projection
a governing assumption
one particular assumption
a certain possibility
any particular assumption
a given assumption
a specific assumption
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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