Used and loved by millions

Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

at a coefficient of

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "at a coefficient of" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or scientific discussions where a specific coefficient value is being referenced. Example: "The experiment was conducted at a coefficient of 0.75 to ensure accurate results."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

The system is nominally sized to provide 2.79 kW of heat at a coefficient of performance (COP) of 1.74.

The system is designed to deliver 2.71-kW of cooling at extreme ambient temperature of 51.7 °C at a coefficient of performance of 0.55.

It is found that they are correlated with the observations at a coefficient of 0.828 at 0.47 μm and 0.921 at 0.66 μm wavelengths.

The curves intersected at a coefficient of variation of 0.16 for tidal volume, 0.21 for respiratory rate and 0.14 for mean inspiratory flow (Fig. 38).

The expression ratio of FMP21 at 37°C was correlated with the doubling time ratio at a coefficient of determination of 0.787.

The curves intersected at a coefficient of variation of respectively 0.21 for respiratory rate, 0.16 for tidal volume and 0.14 for mean inspiratory flow (Fig. 26).

Show more...

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

However, the commercial sheet sources used at present have a coefficient of variation of ±1% and an integral uniformity of 3.6% according to the manufacturer (FeatherLite, Eckert & Ziegler).

Duplicate samples collected at baseline ensured a coefficient of variation of 1.5%.

The working range was from 0.7 mM to 11.3 mM defined by a recovery of at least 80% and a coefficient of variation of <10%.

Science & Research

Nature

At the maximum hardness a coefficient of friction of 0.25 0.3 is obtained.

The synthetic melittin was dissolved in buffer at a concentration of 88 µM as determined by light adsorption measurement at 280 nm using a coefficient of 5570 M−1 cM−1.

Science

Plosone
Show more...

Expert writing Tips

Best practice

When discussing technical results, always specify the units associated with the coefficient for clarity. For example, instead of just saying "at a coefficient of 0.5", say "at a coefficient of 0.5 m/s".

Common error

Avoid assuming that a coefficient's magnitude directly reflects its practical importance. A small coefficient can still be statistically significant or have a large real-world impact, depending on the context and scale of the data.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

81%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "at a coefficient of" functions as a prepositional phrase, modifying a verb or noun to specify the value of a particular coefficient. Ludwig AI indicates the expression is used in technical contexts to precisely define a parameter.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "at a coefficient of" is a prepositional phrase primarily used in scientific and technical writing to specify the exact value of a coefficient. Ludwig confirms its grammatical correctness and suitability for formal contexts. While not extremely common, it is essential for providing precise quantitative details. Understanding its role and appropriate usage helps ensure clarity and accuracy in technical communication. Use cases range from physics and engineering to economics and data analysis. Remember to always include units with the coefficient to provide context and aid comprehension.

FAQs

How can I use "at a coefficient of" in a sentence?

Use "at a coefficient of" when you want to specify a particular value for a coefficient in a scientific or technical context. For example, "The reaction occurred "at a coefficient of" 0.82".

What is a good alternative to "at a coefficient of"?

Depending on the context, you could use phrases like "with a coefficient of", "having a coefficient of", or "where the coefficient equals" to express a similar idea.

In what fields of study would I typically use the expression "at a coefficient of"?

You'll commonly find "at a coefficient of" in fields that rely on statistical or mathematical modeling, such as physics, engineering, economics, and data science.

Is it grammatically correct to say "with a coefficient of" instead of "at a coefficient of"?

Yes, "with a coefficient of" is also grammatically correct and often interchangeable with "at a coefficient of", although "at a coefficient of" is more specific to scenarios indicating a precise point or condition.

ChatGPT power + Grammarly precisionChatGPT power + Grammarly precision
ChatGPT + Grammarly

Editing plus AI, all in one place.

Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.

Source & Trust

81%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Most frequent sentences: