theoretical boundary

USAGE SUMMARY

"theoretical boundary" is a correct and usable phrase in written English.
One can use this phrase when discussing a theoretical concept that has limits or boundaries, or when referring to the boundary of a theoretical field of study. Example: "The theoretical boundary of psychology and sociology often overlap, making it difficult to determine which discipline a certain phenomenon falls under."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

The porousness of Frankfurt's theoretical boundary between lies and bullshit is apparent in Laura Penny's "Your Call Is Important to Us: The Truth About Bullshit" (Crown; $21.95).

The New Yorker

Graphs are presented showing the transitions between various "theoretical" boundary conditions by adjusting the flange/web geometric proportions.

Thin-Walled Structures

Technically, data in several ghost cells are constructed with interpolation so that the interior scheme can be implemented over boundary cells, and theoretical boundary condition has to be modified properly at intermediate stages so as to make the two-stage scheme over boundary cells fully consistent with that over interior cells.

Journal of Computational Physics

This is nonintuitive and highlights the fact that theoretical boundary conditions are only prescribed for continuous partial differential equations (PDEs), while they must be approximated in a consistent way (even though they could be exactly valued) when the PDEs are discretized.

Journal of Computational Physics

Additionally, the results suggest that the BP-TR regime extends well beyond what was previously theorized since neither broken nor broadened reaction layers were observed under conditions with Karlovitz numbers as high as 533, which is five times higher than the theoretical boundary.

Combustion and Flame

At the entrance (x = 0), the theoretical boundary layer thickness is zero, hence the heat transfer coefficient approaches infinity.

Nanoscale Research Letters

Human-verified similar examples from authoritative sources

Similar Expressions

47 human-written examples

" If theoretical boundaries are blurring, it may be because policies have done the same.

The New York Times - Arts

In our 50-year history, ISPS has produced research driven by faculty interests and expertise that breaks methodological and theoretical boundaries to illuminate new frontiers of knowledge.

Yale University

The result of this approach is a clustering of participants that is not determined by their prevalence in our dataset, or even by their apparent grouping in the model parameter space, but purely based on the theoretical boundaries in the model space.

Nature

Our results provide a firm worst-case guarantees and theoretical boundaries for the performance of polynomial-time preprocessing algorithms for the considered problems.

Artificial Intelligence

Although the management of inter-firm projects is increasingly being researched in a wide range of academic fields (project management, alliances and networks, organization studies), the findings of these studies rarely cross theoretical boundaries.

International Journal of Project Management

Expert writing Tips

Best practice

When using "theoretical boundary", clearly define the theoretical framework to which you are referring to avoid ambiguity.

Common error

Avoid using "theoretical boundary" when discussing practical or empirically observed limits. Ensure the context is rooted in a theoretical framework, not real-world constraints.

Linguistic Context

The phrase "theoretical boundary" functions primarily as a noun phrase, where "theoretical" modifies the noun "boundary". As Ludwig AI suggests, the phrase denotes a limit or edge defined within a theoretical framework.

Expression frequency: Common

Frequent in

Science

60%

News & Media

20%

Academia

10%

Less common in

Formal & Business

5%

Encyclopedias

3%

Wiki

2%

Ludwig's WRAP-UP

In summary, "theoretical boundary" is a grammatically correct and commonly used phrase, as confirmed by Ludwig AI. It's particularly prevalent in scientific and academic contexts, where it serves to define the limits of a theoretical framework. While synonyms like ""conceptual limit"" or ""idealized limit"" exist, "theoretical boundary" offers a specific emphasis on the theoretical basis of the limit. When employing this phrase, ensure the context is indeed theoretical to avoid confusion with practical limitations. Always make sure to define the boundaries of your "theoretical boundary" to ensure maximum context and understanding of your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

theoretical limit

Simply replaces boundary with limit, focusing on the maximum extent defined by a theory.

ideal boundary

Replaces theoretical with ideal, suggesting a perfect or optimal limit in a theoretical context.

conceptual limit

Changes from a boundary to a limit, emphasizing a point beyond which something cannot or does not extend.

idealized limit

Replaces theoretical with idealized, stressing a perfect or optimal scenario that might not be achievable in reality.

hypothetical limit

Shifts from theoretical to hypothetical, focusing on a speculative or assumed boundary rather than one based on established theory.

notional border

Replaces boundary with border and theoretical with notional, emphasizing a conceptual or imaginary division.

abstract limit

Substitutes boundary with limit and theoretical with abstract, highlighting a boundary that exists only in thought or concept.

conceptual barrier

Replaces boundary with barrier, emphasizing an obstacle or impediment defined by theory.

theoretical divide

Swaps 'boundary' with 'divide' to highlight a line that separates theoretical concepts.

presumed limit

Implies the boundary is based on assumption rather than proof.

FAQs

How can I use "theoretical boundary" in a sentence?

You can use "theoretical boundary" to describe the limits of a concept or model. For example, "The research explores the "theoretical boundary" of computational complexity."

What is a synonym for "theoretical boundary"?

Alternatives to "theoretical boundary" include "conceptual limit", "idealized limit", or "hypothetical limit", depending on the specific nuance you wish to convey.

How does a "theoretical boundary" differ from a practical one?

A "theoretical boundary" is based on abstract reasoning and models, while a practical boundary is based on empirical observations and real-world constraints. The former exists within a theoretical framework, while the latter exists in reality.

Is it appropriate to use "theoretical boundary" in informal writing?

While grammatically correct, "theoretical boundary" is more suited to formal or academic writing. In informal contexts, simpler terms like "limit" or "edge" might be more appropriate.