under these assumptions

USAGE SUMMARY

The phrase "under these assumptions" is correct and usable in written English.
It can be used when discussing conditions or premises that are being considered in an argument, analysis, or calculation. Example: "Under these assumptions, we can conclude that the project will be completed on time and within budget."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Under these assumptions, Ms. Jones's insurance would pay $1,500, and she would pay $3,300, thus saving $2,700, or 45percentt of what she now spends.

The New York Times

Under these assumptions, replicator dynamics seems plausible.

SEP

Under these assumptions, we have (7).

Journal of Inequalities and Applications

The traditional interpretation of the Vedas proceeds under these assumptions.

SEP

Under these assumptions, we calculate the precise maximum channel service.

EURASIP Journal on Wireless Communications and Networking

Under these assumptions, an "overall transfer function" has been defined.

Journal of Modern Power Systems and Clean Energy

Under these assumptions, there exists a such that (5.1).

Boundary Value Problems

Under these assumptions, the governing equations lead to (2.3).

Boundary Value Problems

Under these assumptions, all the pesos in Argentina would be exchanged for dollars at parity.

Forbes

Under these assumptions, Rayleigh number values up to 1.2 × 1011 (ΔT = 20 °C) can be obtained.

International Communications in Heat and Mass Transfer

(i) First, notice that under these assumptions, E 3 and E 2 are positive.

Advances in Difference Equations

Expert writing Tips

Best practice

Use "under these assumptions" to explicitly highlight the dependence of your argument or conclusion on the stated conditions.

Common error

Avoid using "under these assumptions" without verifying the assumptions' validity. Unsupported assumptions can weaken your argument and lead to flawed conclusions.

Linguistic Context

The phrase "under these assumptions" functions as a prepositional phrase that introduces a conditional clause. As shown by Ludwig, it sets the stage for a conclusion or result that is contingent on the stated assumptions. This phrase acts as an adverbial modifier, specifying the conditions under which the main clause is valid.

Expression frequency: Very common

Frequent in

Science

69%

News & Media

15%

Formal & Business

3%

Less common in

Encyclopedias

2%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "under these assumptions" serves as a critical tool for establishing the conditional context of a statement. It's grammatically sound and frequently used, particularly in scientific, academic, and formal writing, as shown by Ludwig. Proper usage involves clearly stating the assumptions before introducing the phrase. Alternatives like "given these assumptions" or "based on these assumptions" can be used, though they may subtly shift the emphasis. Remember to validate your assumptions to maintain the integrity of your arguments.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

given these assumptions

Replaces "under" with "given", implying a slightly more direct or immediate consideration of the assumptions.

based on these assumptions

Highlights the foundation or support that the assumptions provide for the subsequent statement.

considering these assumptions

Replaces "under" with "considering", indicating a more active and thoughtful engagement with the assumptions.

assuming these conditions

Substitutes "assumptions" with "conditions", emphasizing the practical or situational nature of the premise.

on the basis of these assumptions

Introduces a formal tone, highlighting the logical foundation provided by the assumptions.

provided that these assumptions hold

Introduces a conditional aspect, emphasizing the reliance of the statement on the truth of the assumptions.

in light of these assumptions

Suggests that the following statement is made with a full awareness and consideration of the assumptions.

subject to these assumptions

Indicates that the following statement is valid only if these assumptions hold true.

presuming these assumptions are true

Highlights the tentative nature of the assumptions and their potential impact on the validity of the statement.

with these assumptions in mind

Emphasizes the act of consciously holding the assumptions while considering the subsequent point.

FAQs

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

The phrase "under these assumptions" introduces a scenario or condition being considered. For example, "Under these assumptions, the model predicts a significant increase in market share."

What phrases are similar to "under these assumptions"?

You can use alternatives like "given these assumptions", "assuming these conditions", or "based on these assumptions" depending on the context.

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

While not always grammatically required, it is best practice to state the assumptions explicitly before using the phrase "under these assumptions" for clarity and to avoid ambiguity.

What is the difference between "under these assumptions" and "in these circumstances"?

"Under these assumptions" refers specifically to hypothetical conditions or premises, whereas "in these circumstances" refers to actual or existing conditions. The former is about what could be, while the latter is about what is.