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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
CEO of Professional Science Editing for Scientists @ prosciediting.com
boundaries by which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "boundaries by which" is correct and usable in written English.
It can be used when discussing the limits or guidelines that govern a particular situation or relationship. Example: "We need to establish the boundaries by which we will operate to ensure a respectful and productive environment."
✓ Grammatically correct
News & Media
Science
Encyclopedias
Alternative expressions(3)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
3 human-written examples
In a message posted on the scientist's website, he explains that with this theory in mind, the concept of death as we know it is "cannot exist in any real sense" as there are no true boundaries by which to define it.
News & Media
The cost of illness studies and health-economic evaluations significantly define the boundaries by which current and new intervention strategies provide value to patients, providers, and communities.
The trouble begins when we turn these guides into rigid boundaries by which we determine who's in and who's out.
News & Media
Human-verified similar examples from authoritative sources
Similar Expressions
57 human-written examples
The inference is clear, for suppose that, in the continuous surface of a wall, one half is maximally white and the other half is maximally black, and those qualities each have their own indivisible boundaries [termini] by which they are contained and limited.
Science
This subsection is devoted to the establishment of a Lipschitz continuous dependence property of the solution with respect to the data whose proof is based on a monotonicity property of the solution of (2.6) with respect to the source term and the boundary condition by which we first set out and demonstrate our result.
Furthermore, in order to gain a better understanding of the boundary conditions by which authentic leadership exerts its influence, we explore the moderating role of employee political skill and find that political skill positively moderates the relation between core self-evaluations and proactive behavior.
Arbitrary moving boundaries can be included by modelling the boundaries by particles which repel the fluid particles.
Although scientific creativity may be stimulated by crossing disciplinary boundaries, the process by which a discipline advances is not retained in the textbooks which enshrine the discipline and educate the next generation of researchers.
Science
By using the PDE formulation it is shown how the shape definition and parametrisation can be based on a boundary value approach by which complex shapes can be created and parametrised based on the shape information at the boundaries or the character lines defining the shape.
Science
In recent years, a great deal of works have been done in the study of the existence of solutions for impulsive boundary value problems, by which a number of chemotherapy, population dynamics, optimal control, ecology, industrial robotics and physics phenomena are described.
Science
There's plenty of evidence that we are pushing up against and exceeding several critical boundaries of global sustainability: by which I don't mean some tree hugging idea of sustainability, I mean we are taking actions that cannot be supported by the earth's systems in the long term.
News & Media
Expert writing Tips
Best practice
Use "boundaries by which" to clearly define the scope or limitations within a particular context, ensuring clarity and avoiding ambiguity.
Common error
Avoid using "boundaries by which" in overly simple contexts where a more direct phrase like "limits" or "guidelines" would suffice. Simpler language often enhances clarity.
Source & Trust
78%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "boundaries by which" functions as a prepositional phrase that modifies a noun, specifying the limits or conditions under which something operates or is defined. As Ludwig AI states, the phrase is correct, and the provided examples show it in use across different domains.
Frequent in
Science
60%
News & Media
20%
Encyclopedias
20%
Less common in
Formal & Business
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "boundaries by which" is a grammatically correct prepositional phrase used to define limitations or guidelines. Though Ludwig AI confirms its correctness, its usage is relatively rare. It finds its primary context in scientific, news, and encyclopedia sources, indicating a formal register. When writing, consider whether simpler alternatives like "limits" or "guidelines" might be more appropriate for clarity. The phrase is best suited for scenarios where a precise and structured presentation of constraints is necessary.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
limits within which
Replaces "boundaries" with "limits", emphasizing the restrictive aspect.
parameters that govern
Substitutes "boundaries" with "parameters" and "by which" with "that govern", focusing on control.
conditions under which
Emphasizes the circumstances or requirements for something to occur.
framework through which
Highlights the structure or system used to approach something.
guidelines according to which
Focuses on the established rules or recommendations.
the means by which
Emphasizes the method or way of achieving something.
the criteria by which
Highlights the standards used for judgment or evaluation.
the regulations by which
Refers to official rules or laws.
the constraints within which
Emphasizes the restrictions or limitations.
the scope by which
Focuses on the extent or range.
FAQs
How can I use "boundaries by which" in a sentence?
Use "boundaries by which" to specify the constraints or limitations that govern a process, relationship, or concept. For example: "We need to define the "limits within which" the team can operate."
What's a simpler way to say "boundaries by which"?
You can often replace "boundaries by which" with simpler alternatives such as "limits", "guidelines", or "parameters", depending on the specific context.
Is "boundaries by which" formal or informal?
"Boundaries by which" is generally considered a formal phrase, suitable for academic, professional, or official contexts. In more casual settings, simpler alternatives may be preferable.
How does "boundaries by which" differ from "the scope by which"?
"Boundaries by which" emphasizes the limits or constraints, while "scope by which" focuses on the extent or range that something covers. Choose the phrase that best reflects the intended meaning.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
78%
Authority and reliability
4.1/5
Expert rating
Real-world application tested