on its boundary

USAGE SUMMARY

The phrase "on its boundary" is correct and usable in written English.
It can be used to describe something that is located at the edge or limit of a particular area or object. Example: "The research focused on the species that thrive on its boundary, where the forest meets the grassland."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

39 human-written examples

When Canada switched on its Boundary Dam power plant earlier this month, it signaled a new front in the war against climate change.

Science Magazine

It seems that -ReduCoreductionm is toothless in masy situatiopposedtoforeduction we can resort to an approach derised from the Coreduction homology algorithm [14].

Boundary Value Problems

"I propose that the information is stored not in the interior of the black hole as one might expect but on its boundary, the event horizon," Hawking says in a video of his announcement, which can be viewed above.

Huffington Post

The belt experiences a prescribed sawtooth-like motion on its boundary, which is one source of its high-frequency vibration and noise.

Journal of Sound and Vibration

The term "variational inverse boundary-value problem" is used to designate a class of two-dimensional boundary-value problems with unknown boundaries, in which it is required to find both the solution of a partial differential equation and its domain of definition, where the latter satisfies some extremal property, and one boundary condition is specified on its boundary.

Journal of Applied Mathematics and Mechanics

Actually, if a general domain (Omega ) with 0 on its boundary is smooth, then it looks more like the half-space (mathbb {R}^n_+) around 0, and not like (mathbb {R}^n) as in the case (0in Omega ).

Bulletin of Mathematical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

21 human-written examples

The consti­tuency, he announces, is "halfway ­between Auden and Wordsworth" – both lived on its boundaries.

The Guardian

Johannesburg, with its horrifying levels of violent crime, has seen the affluent quit the city centre for fortified enclaves on its boundaries.

The Guardian - Arts

In this paper, we address the fundamental problem of maximizing the reaction rate of a channel reactor with catalyst on its boundaries by varying its aspect ratio L/H.

Chemical Engineering Journal

Israel wants the Bush administration to agree that if it pulls forces and settlers from Palestinian areas, three settlement clusters in the West Bank and near Jerusalem would be retained by Israel in any final accord on its boundaries, according to administration and Israeli officials.

The New York Times

The calculated vibration frequency at 1500 cm−1 is associated with the i-TO phonon at the M-point of the Brillouin zone and appeared in unideal graphene and on its boundaries and registered in CARS experiment at 1430 cm−1 [8].

Nanoscale Research Letters

Expert writing Tips

Best practice

Use "on its boundary" when you want to specifically indicate a location or condition that exists at the edge or limit of something, whether physical or abstract. For example: "The information is stored on its boundary, the event horizon."

Common error

Avoid using "on its boundary" when you actually mean 'within' or 'inside'. "On its boundary" refers specifically to the edge or limit, not the interior.

Linguistic Context

The phrase "on its boundary" functions primarily as a prepositional phrase, modifying a noun or pronoun to indicate location or position relative to the edge or limit of something. Ludwig examples demonstrate this clearly.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

30%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

The phrase "on its boundary" is a grammatically sound prepositional phrase primarily used to denote a location or condition at the edge or limit of something. As affirmed by Ludwig AI, the expression sees common use in scientific and news contexts to specify spatial relationships relative to defined borders. While grammatically correct, the phrase isn't ubiquitous and can be replaced with alternatives like "at its perimeter" or "along its border" depending on the specific nuance you wish to convey. When using "on its boundary", be mindful to differentiate it from similar prepositions such as 'within' or 'inside', ensuring that you accurately represent the intended spatial relationship.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

at its perimeter

Replaces "boundary" with "perimeter", emphasizing the outer edge or circumference.

along its border

Uses "border" instead of "boundary", suggesting a line of demarcation.

at the edge of it

A more general phrase indicating proximity to an edge or limit.

on its periphery

Replaces "boundary" with "periphery", focusing on the outer limits.

at its limits

Emphasizes the restriction or confines of something.

on the border of it

A more verbose version of "along its border".

at the confines of it

Highlights the limitations or boundaries of something.

at the threshold of it

Suggests a point of transition or entry at the boundary.

at the margin of it

Uses "margin" to indicate the edge or border.

bordering it

A concise way to say something is adjacent to the boundary.

FAQs

How can I use "on its boundary" in a sentence?

Use "on its boundary" to describe something located at the edge or perimeter of an area or object. For example, "The research focused on the species that thrive on its boundary, where the forest meets the grassland."

What are some alternatives to "on its boundary"?

You can use alternatives like "at its perimeter", "along its border", or "at the edge of it" depending on the context.

Is it correct to say "in its boundary" instead of "on its boundary"?

No, "in its boundary" is not typically correct. "On its boundary" is used to describe something located at the edge or limit, while "in" would suggest something contained within. It's more appropriate to use "within its confines" or "inside of it" instead.

What's the difference between "on its boundary" and "at its edge"?

While similar, "on its boundary" often refers to a more defined or established limit, while "at its edge" can be more general. You might use "on its boundary" when discussing territorial lines, and "at its edge" when describing the rim of a glass.