under assumption

USAGE SUMMARY

"under assumption" is correct and usable in written English.
It is used to express the idea that something is based on a certain belief or presupposition. For example: "Under assumption that the economy will improve, I have decided to invest in the stock market."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Limit distribution for "over-all" maximum-type test statistics under assumption of no change is given.

Statistics & Probability Letters

under assumption (2).

Boundary Value Problems

under assumption (2) is considered.

Boundary Value Problems

Under Assumption  1, (33) holds.

Journal of Inequalities and Applications

We assert that under assumption (2.32).

Advances in Difference Equations

which is impossible under assumption (2.32).

Advances in Difference Equations

Under assumption (A1), equation (2.3) is exponentially ergodic.

Advances in Difference Equations

The following properties hold under Assumption 2. (i) ; for all.

Fixed Point Theory and Applications

Under Assumption  2, system (4) is stochastically permanent.

Advances in Difference Equations

Under Assumption 7.1, clearly G satisfies Assumption 3.1.

Probability, Uncertainty and Quantitative Risk

Human-verified similar examples from authoritative sources

Similar Expressions

1 human-written examples

We prove that, in this particular case, under Assumption 1, Assumption 2 is satisfied.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "under assumption", clearly state the assumption to avoid ambiguity. Ensure the assumption is reasonable and relevant to your argument or analysis.

Common error

Avoid using "under assumption" without explicitly stating what the assumption is. This can lead to confusion and weaken your argument. Always ensure the assumption is clearly defined and understood by the reader.

Linguistic Context

The phrase "under assumption" functions primarily as a prepositional phrase introducing a condition or premise. It sets the stage for a statement that is contingent upon the validity of the specified assumption. Ludwig AI confirms this is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "under assumption" is a grammatically correct and usable prepositional phrase that introduces a premise or condition. While Ludwig AI confirms its correctness, its usage is relatively uncommon but primarily found in formal and scientific writing. To ensure clarity, always explicitly state the assumption when using this phrase. Alternatives such as "assuming that" or "on the assumption that" can provide similar meaning with slight variations in formality. By adhering to these guidelines, writers can effectively use "under assumption" to strengthen their arguments and communicate their ideas with precision.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

assuming that

This alternative directly replaces "under assumption" with a more explicit conditional conjunction.

on the assumption that

This alternative adds a more formal tone while maintaining the core meaning of basing something on a premise.

given the assumption that

This option emphasizes that the assumption is a known or acknowledged factor.

based on the premise that

Using "premise" provides a slightly more formal or logical flavor.

subject to the condition that

This alternative highlights the conditional nature of the assumption.

provided that

A concise way to indicate a necessary condition or assumption.

presuming that

This alternative introduces a sense of anticipation or expectation regarding the assumption.

with the understanding that

Emphasizes mutual agreement or common knowledge of the assumption.

in the event that

This option focuses on the hypothetical occurrence of the assumption.

contingent upon the fact that

This alternative brings out the dependency of the statement on the truth of the assumption.

FAQs

How can I use "under assumption" in a sentence?

You can use "under assumption" to introduce a condition or premise upon which a statement or conclusion is based. For example, "Under assumption that interest rates will remain low, we project continued growth in the housing market."

What are some alternatives to using "under assumption"?

Alternatives include "assuming that", "on the assumption that", or "given the assumption that". The best choice depends on the specific context and desired level of formality.

Is it more appropriate to say "under assumption" or "on the assumption"?

Both "under assumption" and "on the assumption" are grammatically correct. "On the assumption" is generally considered more formal, while "under assumption" is slightly more concise.

What does it mean to make a statement "under assumption"?

To make a statement "under assumption" means that the statement is only valid or likely to be true if the specified assumption holds. The statement is conditional on the assumption being correct.