assumed to be equal

USAGE SUMMARY

The phrase "assumed to be equal" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or any situation where equality is being considered or hypothesized. Example: "In this experiment, the two variables are assumed to be equal for the sake of simplification."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Universities are not ranked against one another, but are assumed to be equal.

The Guardian - Lifestyle

In this study, the weights are assumed to be equal.

Complex & Intelligent Systems

These differences were assumed to be equal increments of intensity of sensation.

SEP

The total amount of available gas was assumed to be equal to 4,600 MSCF.

Journal of Petroleum Exploration and Production Technology

The 'a' and 'b' are levers which are assumed to be equal.

Journal of Petroleum Exploration and Production Technology

Within-class covariance matrices were assumed to be equal, prior probabilities were not taken into account.

Heritage Science

The noise power is assumed to be equal across all OFDM subchannels.

EURASIP Journal on Wireless Communications and Networking

The transmit power of every antenna in the same relay node was assumed to be equal.

EURASIP Journal on Wireless Communications and Networking

(The electron and hole masses at both T and L points were assumed to be equal).

Nanoscale Research Letters

Therefore, they are temporally assumed to be equal and then they are refined by the iteration.

EURASIP Journal on Wireless Communications and Networking

The weights of users are assumed to be equal, i.e., u1=u2=u3=u4=0.25.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "assumed to be equal", clearly state the basis for the assumption. This provides context and strengthens the logic of your argument.

Common error

Avoid using "assumed to be equal" without providing any justification or rationale. Always clarify why the assumption is being made, even if it seems obvious.

Linguistic Context

The phrase "assumed to be equal" functions as a means to introduce a premise or condition that is taken as a given starting point for further reasoning or analysis. Ludwig examples illustrate that this assumption is often made to simplify complex models or calculations.

Expression frequency: Very common

Frequent in

Science

98%

News & Media

1%

Formal & Business

1%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "assumed to be equal" is grammatically correct and frequently employed, primarily in scientific and technical contexts. It serves to introduce a condition of equivalence as a basis for reasoning, modeling, or calculation. Ludwig AI confirms its validity and widespread usage, particularly in academic and scientific literature. When using this phrase, it's best practice to provide a rationale for the assumption to strengthen the logical flow of your argument. Common alternatives include "presumed to be equal" and "considered equal".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

presumed to be equal

Replaces "assumed" with "presumed", suggesting a belief based on probability but with the possibility of being incorrect.

considered equal

Focuses on the act of judging or regarding something as equal, rather than an underlying assumption.

taken to be equal

Implies a deliberate choice or decision to treat things as equal.

hypothesized to be equal

Suggests a more formal, research-oriented context where equality is a testable idea.

deemed to be equal

Conveys an official or authoritative assessment of equality.

regarded as equal

Highlights the perspective from which things are seen as equal.

treated as equal

Emphasizes the action of handling or managing things as if they were equal.

understood to be equal

Indicates a shared comprehension or implicit agreement about equality.

accepted as equal

Shows that the equality is something generally agreed or recognized.

postulated as equal

Introduces a theoretical condition where equality is a basic principle.

FAQs

How can I use "assumed to be equal" in a sentence?

You can use "assumed to be equal" when you are positing that two or more things are equivalent for the purpose of a model, calculation, or argument. For example, "In this study, the error terms were "assumed to be equal" across all groups."

What are some alternatives to "assumed to be equal"?

Alternatives include "considered equal", "presumed to be equal", or "taken to be equal", depending on the specific nuance you want to convey.

Is it appropriate to use "assumed to be equal" in formal writing?

Yes, "assumed to be equal" is appropriate for formal and technical writing, especially in scientific and mathematical contexts where assumptions are clearly stated and justified.

What's the difference between "assumed to be equal" and "proven to be equal"?

"Assumed to be equal" means that the equality is posited without proof, whereas "proven to be equal" indicates that the equality has been demonstrated through evidence or logical deduction.