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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
demonstrated with an example
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "demonstrated with an example" is correct and usable in written English. You can use it when you want to clarify a point by providing a specific instance or illustration. For example, "The concept of gravity can be demonstrated with an example, such as an apple falling from a tree." Alternative expressions include "illustrated with an example" and "shown with an example."
✓ Grammatically correct
Science
Alternative expressions(1)
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
25 human-written examples
The complete procedure is demonstrated with an example.
The developed method is demonstrated with an example.
Science
Temperature influence upon fatigue damage accumulation is demonstrated with an example.
The proposed RGD approach is demonstrated with an example of a rock slope design.
Science
This is demonstrated with an example of regional earth mantle tomography.
Science
The analysis framework is presented here; its facilities are demonstrated with an example.
Human-verified similar examples from authoritative sources
Similar Expressions
35 human-written examples
We demonstrate with an example how this knowledge can be directly applied in well casing design analyses.
We now describe each attribute in detail, how they can be calculated and demonstrate with an example the application of the proposed methodology.
The numerical efficiency of the algorithm is demonstrated with an illustrative example.
The use of the formulae is demonstrated with an empirical example.
The effectiveness of the proposed approach is demonstrated with an illustrative example.
Science
Expert writing Tips
Best practice
When using "demonstrated with an example", ensure the example is directly relevant and clearly illustrates the point being made. A strong example enhances understanding and credibility.
Common error
Avoid using examples that are too complex or convoluted. The purpose of an example is to simplify understanding, not to introduce further confusion. Ensure the example is straightforward and easy to follow.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "demonstrated with an example" functions as a qualifier, indicating that a preceding statement or concept is supported by a specific instance. Ludwig AI confirms this usage pattern with numerous examples from scientific and technical literature.
Frequent in
Science
90%
Formal & Business
5%
News & Media
3%
Less common in
Encyclopedias
1%
Wiki
0.5%
Reference
0.5%
Ludwig's WRAP-UP
In summary, the phrase "demonstrated with an example" is a common and grammatically sound way to indicate that a statement or method is being supported by a specific instance. As confirmed by Ludwig AI, this phrase functions as a qualifier, primarily used to provide clarification and validation, mostly within formal and scientific contexts. Related phrases include "illustrated by an example" and "shown through an example". When using this phrase, ensure the example is relevant and easy to understand. Avoid using overly complex examples that might confuse the reader. Remember that the phrase is used to give clarity and validation to the topic being discussed. The frequency of the query is high, with many examples available.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
illustrated by an example
This alternative replaces "demonstrated" with "illustrated", emphasizing the visual or explanatory aspect of the example.
shown through an example
This alternative uses "shown" instead of "demonstrated", highlighting the act of making something visible or clear through the example.
exemplified by an instance
This alternative uses "exemplified" to focus on the example as a typical or representative case.
clarified with a case study
Replaces "example" with "case study", suggesting a more in-depth and analytical illustration.
supported by a practical application
This version emphasizes the real-world application aspect of the example, adding a layer of practicality.
substantiated with an illustration
This alternative uses "substantiated", which implies stronger evidence and support from the example.
verified through a sample
Replacing "demonstrated" with "verified" and "example" with "sample" suggests a more formal validation process.
validated by means of an instance
This alternative adds a formal tone, suggesting the example is used as a formal method for validation.
evidenced by a demonstration
This alternative changes the focus to the act of demonstrating as evidence, rather than the example itself.
proven with a specific case
Uses "proven" instead of "demonstrated" to convey a stronger sense of certainty and validation from the case presented.
FAQs
How can I use "demonstrated with an example" in a sentence?
You can use "demonstrated with an example" to show how a principle or method works in practice. For instance, "The effectiveness of the new algorithm was "demonstrated with an example" from a real-world dataset".
What are some alternatives to "demonstrated with an example"?
Alternatives include "illustrated by an example", "shown through an example", or "exemplified by an instance", depending on the specific nuance you want to convey.
Is there a difference between "demonstrated with an example" and "illustrated with an example"?
While similar, "demonstrated with an example" often implies a more rigorous proof or validation, whereas "illustrated with an example" suggests a clearer visual or descriptive explanation. Both phrases are correct and acceptable.
When is it appropriate to use "demonstrated with an example" in writing?
It's appropriate to use "demonstrated with an example" when you want to provide a specific instance to support a claim, explain a concept, or show how a method works. It is particularly useful in technical or academic writing where clarity and evidence are important.
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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
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested