at one boundary

USAGE SUMMARY

"at one boundary" is correct and usable in written English. You can use it when discussing limits, edges, or dividing lines in various contexts, such as geography, physics, or abstract concepts. For example: "At one boundary of the forest, the trees begin to thin out." Alternative expressions include "at a certain boundary" and "at a specific boundary."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

We apply control at one boundary, take measurements on the other boundary, and allow the system's functional coefficients to be unknown.

Automatica

The disturbance enters at one boundary, while sensing and actuation is limited to the opposite boundary.

Automatica

Furthermore, the phenomenon of Hopf bifurcation at one boundary equilibrium is also investigated.

Advances in Difference Equations

The dynamics of a vibrating string subjected to a constraint at one boundary is investigated in this paper.

Journal of Sound and Vibration

The paper addresses the buckling of an elastic cylinder under non-uniform axial compression applied at one boundary.

International Journal of Solids and Structures

The control is applied at one boundary as a heat flux and the second moving boundary represents the liquid solid interface whose position is the controlled variable.

Journal of Process Control

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

Static and dynamic solutions for a parabolic shell with fixed boundary conditions at one edge and free boundary conditions at the other edge have been obtained using both constant and variable node point spacings and presented as examples.

Journal of Sound and Vibration

Of the respondents that reported knowing whether their neighbours had horses, 58.6% (455/776) of properties had at least one boundary neighbour that kept horses.

Preventive Veterinary Medicine

These bounds are obtained by deriving the integral estimates for the various physical quantities by exploiting the coupling between them in the governing equations; and are important especially when at least one boundary is rigid so that exact solutions in the closed form are not obtainable.

Journal of the Association of Arab Universities for Basic and Applied Sciences

In the case of translocation between different compartments, there is always at least one boundary condition that describes the absorbing barrier, for example that of the membrane separating the 'donor' from the 'receiving' compartments.

BMC Systems Biology

They show that these coordinate transformations, when combined with Gauss-Legendre quadrature rules, are well suited for the numerical integration of functions possessing a sharp peak at or near one boundary of the interval of integration.

Journal of Computational Physics

Expert writing Tips

Best practice

When describing conditions or processes limited to a specific edge or side of an object or space, use "at one boundary" to clearly indicate the location of focus. This ensures that the reader understands the spatial constraints of the description.

Common error

Avoid using "at one boundary" when a more general term like "near" or "around" would be more appropriate. "At one boundary" implies a specific and defined limit, so ensure this precision is necessary for your context.

Linguistic Context

The phrase "at one boundary" functions primarily as a prepositional phrase modifying a noun or verb. It specifies a location or condition existing on a particular limit or edge. As Ludwig AI confirms, this phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

20%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "at one boundary" is a grammatically sound prepositional phrase used to specify conditions or locations on a particular limit or edge. As indicated by Ludwig AI, the phrase is correct and commonly appears in scientific and technical contexts. It is important to remember that this phrase implies specificity, and to use it only when precisely defining a location is necessary. While alternatives like "on one edge" or "at the edge" exist, "at one boundary" provides a clear and accurate way to describe conditions at the edge of a defined space. The frequency of this phrase is uncommon, but its correct usage can help improve the precision of your writing, especially in formal contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

at the edge

Simplifies to "at the edge", omitting the quantifier but retaining the core meaning of being located at a boundary.

on one edge

Replaces "boundary" with "edge", a similar concept referring to a limit or border. Changes the preposition from "at" to "on".

at a border

Replaces "boundary" with "border", indicating a dividing line.

at a single frontier

Substitutes "one boundary" with "a single frontier", introducing a slightly more formal term for a dividing line.

at a certain perimeter

Replaces "one boundary" with "a certain perimeter", focusing on the outer limit of an area.

at a perimeter

Changes "one boundary" to "a perimeter", focusing on the total length around an area.

at an outer limit

Replaces "boundary" with "outer limit", emphasizing the extremity of the area.

at the margin

Substitutes "boundary" with "margin", often used in a more abstract sense.

on one side

Replaces "boundary" with "side", simplifying the phrase to indicate a positional aspect.

at one extreme

Replaces "boundary" with "extreme", indicating a limit in a range.

FAQs

How can I use "at one boundary" in a sentence?

The phrase "at one boundary" indicates a specific location on the edge or limit of something. For example, "The experiment applied pressure "at one boundary" of the material."

What are some alternatives to saying "at one boundary"?

Depending on the context, you can use phrases like "on one edge", "at a single frontier", or "at the edge" to convey a similar meaning.

Is it correct to use "at one border" instead of "at one boundary"?

While "border" and "boundary" are similar, "at a border" might be more appropriate when referring to a dividing line between regions or countries, whereas "at one boundary" is suitable for more general limits or edges.

What's the difference between "at one boundary" and "at the boundary"?

"At the boundary" refers to a specific, previously mentioned boundary, while ""at one boundary"" indicates one particular boundary out of possibly multiple boundaries or edges.