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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
under this assumption
Grammar usage guide and real-world examplesUSAGE SUMMARY
"under this assumption" is correct and usable in written English.
You can use "under this assumption" when you make an assumption that has a bearing on an argument. For example, "Under this assumption, we can conclude that the cost of production will decrease".
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
assuming this is the case
given this condition
assuming that's true
taking this as a given
under this interpretation
under this premise
under this understanding
under this principle
under this presumption
under this hypothesis
according to this assumption
under this scenario
under this arrangement
but in this hypothesis
in this scenario
but in this case
with this likelihood
considering this chance
it is on this premise
this feeling
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
59 human-written examples
Therefore, under this assumption, N should be inversely proportional to m.
Science & Research
Under this assumption, anyone who questions any aspect of reform is quickly portrayed as an apologist for failure.
News & Media
Under this assumption, the J-spectral factorization algorithm is based on numerically reliable operations only.
Science
Under this assumption a method of an approximate analysis is presented.
Under this assumption, the solutions of Eqs.
But under this assumption, Principle (6) is obviously wrong.
Science
In Table 4 decoding under this assumption is shown.
Figure 3 presents the differential propagation under this assumption.
Under this assumption, can be approximated by (16).
Under this assumption the world is a sort of toros.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
1 human-written examples
Hence, under this assumption, in equilibrium any coalition can form.
Science
Expert writing Tips
Best practice
To enhance readability, consider placing the assumption at the beginning of the sentence or paragraph, followed by the consequences or conclusions that follow.
Common error
Avoid making implicit assumptions. Always explicitly state the assumption you are operating under when using the phrase "under this assumption" to prevent misunderstandings.
Source & Trust
83%
Authority and reliability
4.6/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "under this assumption" functions as a discourse marker, signaling that the subsequent statement or conclusion is contingent on a specific premise. Ludwig examples confirm its role in setting the stage for conditional reasoning. The Ludwig AI corroborates that is usable in written English when setting up conditions.
Frequent in
Science
69%
News & Media
16%
Formal & Business
15%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "under this assumption" is a frequently used phrase to introduce conditional reasoning in a variety of contexts, especially within science and formal writing. As Ludwig AI indicates, this phrase is grammatically correct and usable in written English. To ensure clarity, always explicitly state the assumption you are making and remember to avoid implicit assumptions. Alternatives such as "assuming this is the case" or "given this condition" can be used for variety, though they may subtly alter the tone or emphasis of your writing. Ludwig's examples confirm that using "under this assumption" helps provide a transparent framework for understanding the basis of your arguments.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
assuming this is the case
Highlights that something is taken as true as a starting point for reasoning.
given this condition
Emphasizes a specific requirement or prerequisite that needs to be met.
on the basis of this assumption
Focuses on the foundation or rationale for a particular stance.
with this supposition in mind
Highlights the speculative nature of the premise.
considering this hypothesis
Directly refers to the premise as a testable explanation.
granting this premise
Implies acceptance of the premise for the sake of argument.
if we presume this
Introduces the idea that something is believed to be true, though without proof.
assuming that's true
Adds an informal tone and accepts the premise as potentially true.
in light of this assumption
Indicates that the following statement is made considering the assumption.
taking this as a given
Expresses that something is accepted as undeniably true.
FAQs
How can I use "under this assumption" in a sentence?
The phrase "under this assumption" is used to introduce a statement or conclusion that is based on a specific premise. For example, "Under this assumption, we can predict a significant increase in sales".
What can I say instead of "under this assumption"?
You can use alternatives like "assuming this is the case", "given this condition", or "on the basis of this assumption" depending on the context.
Is it better to explicitly state the assumption when using "under this assumption"?
Yes, it is always better to explicitly state the assumption to avoid ambiguity. The phrase "under this assumption" signals that a specific premise is crucial to the argument, so clarity is essential.
What is the difference between "under this assumption" and "given this fact"?
"Under this assumption" implies that something is being taken as true without concrete proof, while "given this fact" suggests that something is known to be true. The first introduces a premise, the second introduces evidence.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.6/5
Expert rating
Real-world application tested