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

expanded at a constant rate

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "expanded at a constant rate" is correct and usable in written English.
It can be used in contexts involving growth, development, or change that occurs steadily over time. Example: "The company's revenue expanded at a constant rate over the last five years, demonstrating consistent growth."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

In other words, if we assume that the Universe has been expanding at a constant rate since the Big Bang, then the rate of expansion tells us how far back in time the expansion started, which we take to be the beginning of the Universe.

If it has been expanding at a constant rate of 10 milliarcseconds a year, then it would take 1000 ± 260 years to reach a diameter of 20 arcseconds.

Each individual plant's root system starts as a point and expands radially (i.e. as an expanding circle) with growth at a constant rate (by area).

Science

AoB PLANTS

Genes, like languages, do not mutate at a constant rate.

Molecular sequences rarely evolve at a constant rate.

Increase payouts at a constant rate and adjust for risk.

Our first one samples at a constant rate and kept a steering state variable.

For example, a falling body accelerates at a constant rate, g.

Encyclopedias

Britannica

This note is repeated at a constant rate of delivery in about 5-6 second intervals.

For this reason we recommend that boards increase payouts at a constant rate relative to performance.

Obviously if sea level rise is accelerating, it's not increasing at a constant rate.

News & Media

The Guardian
Show more...

Expert writing Tips

Best practice

When describing growth or change, ensure that "expanded at a constant rate" accurately reflects a steady and uniform progression over time. Use it when precision and consistency are important.

Common error

Avoid using "expanded at a constant rate" if the growth fluctuates, even slightly. Ensure data truly reflects uniformity before using this phrase. It's more precise than saying "increased steadily".

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

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

88%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "expanded at a constant rate" functions as a descriptive phrase, typically modifying a noun to indicate the manner in which something has grown or increased. This is supported by the examples provided, where Ludwig AI confirms its grammatical correctness.

Expression frequency: Uncommon

Frequent in

Science

40%

News & Media

30%

Academia

30%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "expanded at a constant rate" is a grammatically correct and usable expression, as verified by Ludwig. It indicates a steady and uniform increase over time. While not exceedingly common, it finds usage across science, news media, and academic contexts. When writing, ensure that the context truly reflects a consistent rate of expansion to avoid misinterpretations. Alternatives include phrases like "grew steadily" or "increased uniformly".

FAQs

How can I use "expanded at a constant rate" in a sentence?

You can use "expanded at a constant rate" to describe phenomena that grow or increase steadily over time. For example, "The universe "expanded at a constant rate" after the Big Bang, according to some theories."

What is a good alternative to "expanded at a constant rate"?

Alternatives include "grew steadily", "increased uniformly", or "progressed consistently". The best choice depends on the specific nuance you want to convey.

Is "expanded at a constant rate" the same as "grew exponentially"?

No, "expanded at a constant rate" implies a linear increase, while "grew exponentially" signifies an accelerating increase. They describe fundamentally different growth patterns.

When is it appropriate to use "expanded at a constant rate" in scientific writing?

Use "expanded at a constant rate" when describing phenomena where the rate of growth or increase remains the same over time. This is common in physics, biology, and economics when modeling linear growth.

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

88%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Most frequent sentences: