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 both boundaries

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "at both boundaries" is correct and usable in written English.
It can be used in contexts discussing limits, edges, or extremes of a particular subject or area. Example: "The temperature was measured at both boundaries of the experiment to ensure accuracy."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

14 human-written examples

The relatively large amplitude at both boundaries in the first IMF eventually has an effect on the sequential IMFs.

It is assumed that the disturbances can act in-domain, at both boundaries and at the output to be controlled.

Science

Automatica

The disturbances can act at both boundaries, distributed in-domain or at the output to be controlled.

Science

Automatica

Both techniques assume the knowledge of the fundamental diagram and the conditions at both boundaries of the section of interest.

For an internally heated Mars-like setup, we fix the heat flux at both boundaries and power the system exclusively by internal heat sources.

Further, it must be pointed out that for the practical implementation and in order to avoid an exception handling at the signal boundaries, it is sufficient to extend the original or intermediate signals by a single value at both boundaries.

Show more...

Human-verified similar examples from authoritative sources

Similar Expressions

46 human-written examples

Stresses are normalized with respect to either the applied internal pressure or the solutions from the special Lamé case, in which both boundaries at the radii r = a and r = b > a, are fully-loaded with uniform stresses p and q.

However, even more importantly, the modified model allows us to use the same fast/slow decomposition to predict the spiking transition at both interval boundaries ( τ s small and τ s large).

We computed the enrichment of all 6-mers centered on the unmethylated CG at both HMR boundaries.

Exbd, the gene definition proposed by RefSeq, clusters all transcripts sharing both boundaries of at least one exon [ 24].

The healing efficiency was investigated at both free boundary condition and fixed boundary condition.

Science

Polymer
Show more...

Expert writing Tips

Best practice

When describing conditions or measurements at the edges of a defined area or dataset, use "at both boundaries" to clearly indicate that you are referring to both extremes. For example, "Measure the temperature "at both boundaries" of the experimental setup to ensure uniformity."

Common error

Avoid using "at the boundary" when you intend to refer to conditions or properties existing at both ends or sides of something. "At the boundary" implies a singular location, while "at both boundaries" clarifies you're discussing each end.

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

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

84%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "at both boundaries" functions as a prepositional phrase, typically modifying a verb or noun to specify a location or condition existing on opposing limits or sides. As demonstrated in Ludwig examples, it's often used in scientific contexts to indicate where measurements or phenomena occur.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Unknown/unmatched sources

0%

Ludwig's WRAP-UP

In summary, the prepositional phrase "at both boundaries" is grammatically correct and functions to specify conditions or measurements occurring at opposing extremes or limits, as confirmed by Ludwig. Predominantly found in scientific literature, it provides spatial or conditional precision. While Ludwig indicates it's not a highly frequent expression, its usage is consistent and clear, making it a valuable term in technical and formal contexts. Alternatives include "at either end" and "on both sides".

FAQs

How can I use "at both boundaries" in a sentence?

The phrase "at both boundaries" is used to indicate something occurring or being measured at the two extremes or limits of a defined area or object. For example, "The heat flux was fixed "at both boundaries" of the system."

What is a good alternative to "at both boundaries"?

Depending on the context, you can use alternatives such as "at either end", "on both sides", or "at opposing limits".

Is it correct to say "at the two boundaries" instead of "at both boundaries"?

While "at the two boundaries" isn't grammatically incorrect, ""at both boundaries"" is more concise and commonly used, especially in scientific and technical writing.

What does "at both boundaries" typically refer to in scientific writing?

In scientific writing, ""at both boundaries"" often refers to the conditions, measurements, or properties observed at the extreme ends of a system, sample, or experimental setup, ensuring a comprehensive analysis.

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

84%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Most frequent sentences: