under assumptions

USAGE SUMMARY

The phrase "under assumptions" is correct and can be used in written English.
You can use it when you are making a statement that is based upon certain assumptions. For example: "Under assumptions that the economy will remain stable, we can confidently take on this new project."

✓ Grammatically correct

Science

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Under assumptions, Eqs.

Journal of Economic Structures

Case 2: Under assumptions (A1)–(A1).

Advances in Difference Equations

Such benefits reduce further under assumptions of inter-tier variation.

Integration, the VLSI Journal

Under assumptions (H2)–(H4), if the following conditions hold: (H6),.

Advances in Difference Equations

Firstly, we establish Lemma 5.1 under Assumptions 2.1 and 5.1.

Advances in Difference Equations

Under assumptions (H1 - H6), we have that (i) Ω is nonempty, compact, and connected.

Journal of Inequalities and Applications

Theorem 3.1 Under assumptions (a1 - a5), (3.1) has a unique solution in C ( I ).

Journal of Inequalities and Applications

In this work, we would like to study equation (1.1) under assumptions (i)–(v).

Advances in Difference Equations

Under assumptions (i) and (ii), let (pin(1,1+frac{2+m}{alpha}]).

Boundary Value Problems

Under assumptions ((F_{1})) and ((F_{4})), I satisfies the ((PS)) condition.

Boundary Value Problems

Under Assumptions A1, A2 and A3, system (1.3) is stochastically permanent.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "under assumptions", clearly state the specific assumptions being made to avoid ambiguity and ensure the validity of your statement.

Common error

Avoid using "under assumptions" without explicitly stating what those assumptions are. This can lead to misinterpretations and weaken your argument. Always specify the assumptions to provide clarity and context.

Linguistic Context

The phrase "under assumptions" functions as a prepositional phrase that introduces a condition or premise upon which a statement, argument, or conclusion is based. As noted by Ludwig AI, this phrase is grammatically correct. The numerous examples available on Ludwig show its frequent use in academic and professional contexts.

Expression frequency: Very common

Frequent in

Science

60%

Formal & Business

20%

News & Media

10%

Less common in

Academia

5%

Encyclopedias

3%

Wiki

2%

Ludwig's WRAP-UP

In summary, "under assumptions" is a grammatically sound prepositional phrase used to introduce conditions upon which a statement relies. According to Ludwig AI, the phrase is indeed correct and widely used, as evidenced by the numerous examples available. Predominantly found in scientific and formal business contexts, it serves to establish a framework for understanding claims within specified parameters. For clarity, always state the specific assumptions being made. Consider alternatives like "assuming that" or "given these assumptions" for stylistic variation. By adhering to best practices, such as explicitly stating assumptions, writers can avoid vagueness and enhance the credibility of their arguments.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

assuming that

This alternative directly replaces "under assumptions" with a more concise conjunction introducing the premise.

given these assumptions

This alternative specifies that what follows is based on a previously stated set of assumptions.

on the basis of these assumptions

This phrase emphasizes the foundation upon which the statement rests.

provided that these assumptions hold

This alternative highlights the necessity of the assumptions being true for the statement to be valid.

subject to these assumptions

This indicates that the statement is contingent upon the specified assumptions.

conditional on these assumptions

Similar to 'subject to', this emphasizes the conditional nature of the statement.

in light of these assumptions

This suggests that the assumptions provide context or clarification for the statement.

presuming that

This alternative implies an acceptance of the assumptions as true or likely.

with the understanding that

This phrase clarifies that there is a shared awareness and acceptance of the underlying assumptions.

considering these assumptions

This suggests a careful evaluation of the assumptions before making the statement.

FAQs

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

The phrase "under assumptions" is used to indicate that a statement or conclusion is valid only if certain conditions are true. For example: "Under assumptions of economic stability, the project is likely to succeed."

What's a good alternative to "under assumptions"?

Alternatives include "assuming that", "given these assumptions", or "provided that" depending on the context.

Is it necessary to always state the assumptions when using "under assumptions"?

Yes, it is best practice to clearly state the assumptions. This ensures that the context is clear and prevents misinterpretations.

What is the difference between "under assumptions" and "with the assumption"?

"Under assumptions" is used to introduce a condition or set of conditions, while "with the assumption" implies that a single assumption is being made. They serve similar but subtly different purposes.