Under certain assumptions

USAGE SUMMARY

The phrase "Under certain assumptions" is correct and usable in written English.
It can be used when discussing conditions or premises that must be met for a statement or conclusion to hold true. Example: "Under certain assumptions, the model predicts a significant increase in efficiency over the next decade."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Under certain assumptions, the global smooth solvability is obtained.

Advances in Difference Equations

Under certain assumptions, the overall or aggregate preference ordering is compatible with EU theory.

SEP

Under certain assumptions, an explicit solution to the minimax problem is obtained.

IFAC Proceedings Volumes

Under certain assumptions LMO-CV is known to be asymptotically consistent [49].

Journal of Cheminformatics

Under certain assumptions on, we prove that the equation has infinitely many solutions.

Boundary Value Problems

Under certain assumptions, (22) has a unique solution ((y(cdot),z(cdot))).

Advances in Difference Equations

Under certain assumptions, the consistency and asymptotic normality of an estimator were shown.

Advances in Difference Equations

Under certain assumptions (e.g., large, small ), we may approximate (1) by the chemical Langevin equation, (2).

EURASIP Journal on Advances in Signal Processing

Under certain assumptions, one can learn about causal relationships from a combination of observation and experiment.

Large-scale Assessments in Education

Under certain assumptions, the same fundamental equation relating torque to friction coefficient can be used for both machine elements.

Mechanism and Machine Theory

Under certain assumptions related to experimental observations the kinetics scheme of the reaction can be considerably reduced.

Chemical Engineering Science

Expert writing Tips

Best practice

When using "under certain assumptions", clearly state the specific assumptions you are referring to, either before or immediately after the phrase, to avoid ambiguity.

Common error

Avoid using "under certain assumptions" as a placeholder for unspecified conditions. Always clarify the assumptions to maintain clarity and credibility.

Linguistic Context

The phrase "under certain assumptions" typically functions as an adverbial phrase, modifying a verb or clause by setting the conditions under which the action or statement is valid. Ludwig confirms the phrase is correct and usable in English.

Expression frequency: Common

Frequent in

Science

95%

Formal & Business

3%

News & Media

2%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "under certain assumptions" serves to introduce conditionality to a claim, indicating that it holds true only if specific conditions are met. Ludwig AI confirms that this phrase is grammatically correct and widely accepted, being particularly common in academic and scientific writing. To ensure clarity, always clearly state the specific assumptions being referred to. While the phrase is valid, explicit assumptions enhance precision in communication. Related phrases include "assuming specific conditions" and "given particular conditions". The high frequency in Science sources confirms that the phrase is most frequently found in the scientific context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Assuming specific conditions

Emphasizes the conditional nature with a focus on particular conditions that must be true.

Given particular conditions

Highlights that the statement is true only when the specified conditions are present or considered.

Subject to specific preconditions

Stresses that certain preconditions must be satisfied for the statement to hold.

Provided that certain conditions apply

Indicates the application or relevance of conditions affecting the statement's validity.

On the premise that certain conditions exist

Highlights the foundational assumption of the existence of certain conditions.

Contingent upon certain circumstances

Emphasizes the dependence of the statement on specific circumstances.

Assuming that certain factors are present

Focuses on the presence of certain factors as the basis for the statement.

In the event that certain conditions are met

Specifies that the statement is valid only if the conditions are fulfilled.

With the understanding that certain conditions prevail

Highlights a mutual agreement or acceptance of the prevailing conditions.

Conditional on specific criteria

States that the statement is dependent on meeting specific criteria.

FAQs

How can I use "Under certain assumptions" in a sentence?

Use "Under certain assumptions" to introduce a condition or premise that must be true for a statement to be valid. For example, "Under certain assumptions, the model predicts a significant increase in efficiency."

What can I say instead of "Under certain assumptions"?

You can use alternatives like "assuming specific conditions", "given particular conditions", or "subject to specific preconditions" depending on the context.

Is it better to explicitly state the assumptions rather than using "Under certain assumptions"?

While "Under certain assumptions" is acceptable, explicitly stating the assumptions provides greater clarity and transparency, which is generally preferred in formal writing. Always try to clarify the assumptions to maintain clarity and credibility.

What kind of statements usually follow the phrase "Under certain assumptions"?

Statements that follow "Under certain assumptions" are often predictions, conclusions, or outcomes that are only valid if the specified assumptions hold true. For example: "Under certain assumptions, the algorithm will converge."