closed boundary

USAGE SUMMARY

The phrase "closed boundary" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or discussions about systems that have defined limits or edges. Example: "In topology, a closed boundary is essential for defining compact spaces."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

36 human-written examples

The problem of magnetic field reconstruction inside a sub-region in R3 from magnetic measurements on the closed boundary of this sub-region is considered.

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

The one-dimensional dispersion model has been solved analytically as well as numerically to describe flow in continuous "closed" boundary systems using the celebrated Danckwerts boundary conditions.

Chemical Engineering Science

A closed boundary at the bottom led to DNAPL pooling (i.e., large continuous blobs) which causes significant tailing in the dissolution breakthrough curve due to water bypassing.

Journal of Contaminant Hydrology

The identifying features of the spectra provide insight into optical excitations for curved systems with either open or closed boundary condition.

Carbon

The signed distance function (SDF) gives the shortest distance from a given point to the boundary, and the sign indicates whether this point is inside or outside the closed boundary or enclosed region.

Computer Methods in Applied Mechanics and Engineering

We have modelled a homogeneous metapopulation of the interacting host and parasite system, with closed boundary and dispersal limited to nearest neighbours, using the spatially explicit coupled map lattice approach.

Ecological Modelling

Human-verified similar examples from authoritative sources

Similar Expressions

24 human-written examples

This paper continues this study and presents and proves an interesting new relationship between the CPV and FP of certain boundary integrals (on closed boundaries) that occur in Boundary Integral Equation (BIE) formulations of some common Boundary Value Problems (BVPs) in science and engineering.

Engineering Analysis with Boundary Elements

For the FE mesh generation used in this study, the line constraints are treated as boundaries and by that means the geometry domain attached to the line constraints is decomposed into sub-domains, constrained only by the closed boundaries.

Computer-Aided Design

The results presented are novel because (i) the experiments were performed in a system with closed boundaries and hence give the true residence time distribution in the riser and (ii) the measurement of the tracer concentration is exceedingly fast.

Chemical Engineering Science

Hence, the additional rotational flux in (17b) should also have no component crossing the closed boundaries.

Progress in Earth and Planetary Science

Besides, the new method can get the closed boundaries of the buildings.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When describing physical systems, specify the "closed boundary" conditions to precisely define the constraints and interactions within the system. This is especially relevant in mathematical modeling and simulations.

Common error

Avoid using "closed boundary" interchangeably with terms like "open boundary" or "periodic boundary" without clarifying the distinct physical implications each represents. A "closed boundary" implies no flow or interaction across it, unlike the others.

Linguistic Context

The phrase "closed boundary" primarily functions as a descriptive term, specifying a particular type of boundary condition in mathematical models, simulations, and physical systems. As Ludwig AI confirms, the phrase is correct and usable in written English.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "closed boundary" is a common term predominantly used in scientific and technical contexts to describe a system or region where no exchange occurs across its limits. Ludwig AI confirms that the phrase is correct and usable. The term's purpose is to set precise constraints in models and simulations, distinguishing it from related concepts like "open boundary". When using this phrase, ensure clarity in specifying the constraints within a system and avoid interchangeable use with similar concepts without explaining the distinct implications. Alternatives include "defined perimeter" and "bounded region".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

sealed border

Emphasizes the impermeability or restricted access across the boundary.

defined perimeter

Focuses on the precise and clear delineation of the boundary.

enclosed limit

Highlights the characteristic of being confined within specific limits.

bounded region

Stresses the idea of a region that has specific, finite limits.

confined space

Emphasizes physical or conceptual restriction to a specific area.

delimited area

Focuses on the action of setting or marking the limits of an area.

isolated zone

Highlights the separation and distinctiveness of the zone from its surroundings.

finite extent

Focuses on the characteristic of having a measurable and limited size.

restricted domain

Highlights that the considered domain is limited or controlled in some way.

circumscribed area

Refers to an area marked off or defined by a boundary.

FAQs

How is "closed boundary" used in scientific writing?

In scientific writing, "closed boundary" describes a system or region where no matter, energy, or information can cross the defined limit. This term is commonly used in physics, engineering, and mathematics to set constraints for modeling and analysis.

What are some alternatives to "closed boundary" in mathematical contexts?

Depending on the specific context, alternatives to "closed boundary" could include "defined perimeter", "bounded region", or "enclosed limit". The best choice will depend on the specific nuance you want to convey.

What's the difference between "closed boundary" and "open boundary"?

A "closed boundary" indicates that nothing enters or exits the system, while an "open boundary" allows for the exchange of matter, energy, or information with the surroundings. They represent opposite conditions and are critical for accurate modeling.

In what fields is the term "closed boundary" commonly used?

The term "closed boundary" is commonly used in various scientific and engineering fields, including physics, mathematics, engineering, and computer science, particularly in modeling and simulating physical systems. It is also used for "sealed border" and boundaries in geopolitics.