under some assumptions

USAGE SUMMARY

'under some assumptions' is correct and usable in written English.
This phrase can be used when you are introducing a premise to form the basis of an argument or a hypothetical situation. For example: "Under some assumptions, we could reasonably conclude that the new policy will have a positive effect on the economy."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

We show that under some assumptions the synchronization is exponentially achieved.

Chaos, Solitons & Fractals

First, under some assumptions an adaptive full-order observer is designed for the system.

Communications in Nonlinear Science and Numerical Simulation

Under some assumptions, an adaptive controllers and update laws are designed for the heterogeneous multi-agents.

Neurocomputing

Under some assumptions, these algorithms use an asymptotically optimal number of queries in every instance.

Theoretical Computer Science

We show that this normalization method finds optimal solution under some assumptions.

Information and Software Technology

We classify blow-up solutions and derive their blow-up profiles under some assumptions.

Journal of Functional Analysis

We also show that the schemes for these equations are H1-stable under some assumptions.

Journal of Computational Physics

Using continuity of the optimal value function (under some assumptions), we propose a method based on parametric linear programming techniques.

Journal of Computational and Applied Mathematics

First, under some assumptions for drive system, a kind of full-order observer-based synchronization method is summarized.

Physics Letters A

Under some assumptions, it is shown that these gradient laws can be cast into a variational formulation.

Computer Methods in Applied Mechanics and Engineering

Under some assumptions, this approach covers all the search space only in case of small dimensionality problems.

Applied Soft Computing

Expert writing Tips

Best practice

When using the phrase "under some assumptions", be explicit about what those assumptions are, either immediately or in close proximity to the statement. This enhances clarity and credibility.

Common error

A common mistake is using the phrase "under some assumptions" without specifying what those assumptions are. This can lead to confusion and undermine the validity of your argument. Always clarify the assumptions being made.

Linguistic Context

The phrase "under some assumptions" functions as an adverbial phrase, modifying a verb or clause by introducing a condition or qualification. It indicates that the statement it modifies is only valid or true if certain assumptions are met. Ludwig shows this usage across numerous scientific and academic contexts.

Expression frequency: Very common

Frequent in

Science

65%

Academia

20%

Formal & Business

10%

Less common in

News & Media

2%

Encyclopedias

2%

Reference

1%

Ludwig's WRAP-UP

In summary, the phrase "under some assumptions" is a very common and grammatically correct adverbial phrase used primarily in formal and scientific writing. Its main function is to qualify a statement by indicating that it is only true or valid if certain conditions are met. As Ludwig AI confirms, it's crucial to explicitly state these assumptions to ensure clarity and avoid ambiguity. While alternatives exist, using "under some assumptions" effectively communicates the conditional nature of a claim, especially in academic and technical contexts. Always be mindful to follow up by specifying the exact assumptions you are referring to, to give the sentence a greater informative value.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

assuming certain conditions

Focuses on the conditions being specifically assumed or in place.

given specific preconditions

Emphasizes the necessary preconditions that must exist.

subject to particular constraints

Highlights the constraints influencing the outcome.

on the premise that

Directly states that something is based on a specific premise.

with the provision that

Indicates a stipulation or condition that must be met.

conditional on

Emphasizes the dependency of an outcome on certain conditions.

in the event that

Focuses on a possible scenario and its impact.

contingent upon

Similar to "conditional on", but may suggest a looser dependency.

provided that

States something as a condition for something else to happen.

assuming this holds true

Highlights the element of truth or validity in the assumption itself.

FAQs

How do I use "under some assumptions" in a sentence?

Use "under some assumptions" to introduce a condition or set of conditions that must be true for a statement or conclusion to be valid. For example: "Under some assumptions, such as a stable market, this investment will yield high returns."

What are some alternatives to "under some assumptions"?

Alternatives include "assuming certain conditions", "given specific preconditions", or "subject to particular constraints". Choose the alternative that best fits the specific nuance you wish to convey.

Is it better to explicitly state the assumptions rather than using "under some assumptions"?

While "under some assumptions" is acceptable, explicitly stating the assumptions is generally preferred for clarity and transparency. It allows the reader to fully understand the basis for your claims.

What does "under some assumptions" imply about the certainty of a statement?

Using "under some assumptions" suggests that the statement is not universally true but depends on certain conditions being met. It implies a degree of uncertainty or limitation.