Used and loved by millions
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
this is demonstrated on
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "this is demonstrated on" is correct and usable in written English.
It can be used when referring to a specific example or case that illustrates a point or concept. Example: "The effectiveness of the new teaching method is demonstrated on the improved test scores of the students."
✓ Grammatically correct
Science
News & Media
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
12 human-written examples
This is demonstrated on the GAMM transonic bump test-case.
This is demonstrated on a dynamic optimization for two distillation columns.
Science
This is demonstrated on the measurement of mass transfer coefficient from bubbles in dispersion.
Science
This is demonstrated on the basis of simulations from a land surface model (i.e., Community Land Model – CLM, version 3.5).
Science
This is demonstrated on function minimization and aerodynamic shape optimization problems; though only two levels are used herein, this is not a restriction and the optimization platform may accommodate any number of them.
Science
This is demonstrated on measurement of kinetic data of the reaction (measured in stirred cell), physical mass transfer coefficient kLa and interfacial area a (measured in mechanically agitated gas liquid dispersion) using solution of 0.8 M Na2SO3 with various cobalt catalyst concentrations ranging from 5 × 10−7 to 2 × 10−3 M and pH in the range of 8 8.7.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
48 human-written examples
This was demonstrated on-stage at WWDC when a programmer created a 3D game in three minutes.
News & Media
The evidence for this was demonstrated on Monday and was overlooked by most international commentators who keep an eye on Ireland.
News & Media
This was demonstrated on Saturday evening as the police quickly put aside confrontation and became escorts of an ad hoc march of 200 teenagers who showed up on Chestnut Street loudly devoted to the cause of virginity.
News & Media
This was demonstrated on a full-scale Pt/γ-alumina DOC (o.d. = 106 mm; length = 114 mm), connected to a Ford 2.0 L diesel engine.
Science
This was demonstrated on Thursday night in Avery Fisher Hall when the New York Philharmonic performed Webern's orchestration of the Fuga (Ricercata) from Bach's "Musical Offering" and Schoenberg's orchestration of Brahms's G minor Piano Quartet, two ingenious musical translations that betray any notion of betrayal.
News & Media
Expert writing Tips
Best practice
When using "this is demonstrated on", ensure that the subject being demonstrated is clearly linked to the example that follows for maximum clarity.
Common error
Avoid using "this is demonstrated on" if the link between the concept and the demonstration is vague or requires significant inference from the reader. Ensure a direct and obvious relationship.
Source & Trust
80%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "this is demonstrated on" serves as a transitional phrase to introduce specific examples, case studies, or instances that support a preceding statement. It functions to provide evidence and practical illustration of a concept or theory. Ludwig confirms its usability.
Frequent in
Science
60%
News & Media
20%
Academia
10%
Less common in
Wiki
5%
Formal & Business
5%
Ludwig's WRAP-UP
The phrase "this is demonstrated on" is a useful tool for introducing examples and evidence in writing. As Ludwig AI confirms, it is grammatically correct. It is most commonly found in scientific and technical contexts. When using this phrase, ensure that the connection between the idea and the example is clear and direct. While effective, consider alternatives like "this is illustrated by" or "this is exemplified by" to add variety to your writing. Avoiding vague connections will result in more effective and convincing communication when using "this is demonstrated on".
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
this is exemplified by
Replaces 'demonstrated' with 'exemplified', focusing on providing an example.
this is illustrated by
Uses 'illustrated' instead of 'demonstrated', suggesting a visual or descriptive representation.
this is shown in
Replaces 'demonstrated' with 'shown', indicating a direct display or presentation.
this is evidenced by
Uses 'evidenced' to highlight that something is supported by evidence.
this is manifested in
Replaces 'demonstrated' with 'manifested', suggesting a clear and obvious display.
this is reflected in
Uses 'reflected' to indicate that something is mirrored or apparent in something else.
this is highlighted in
Replaces 'demonstrated' with 'highlighted', emphasizing a particular aspect or feature.
this is borne out by
Uses 'borne out' to suggest that something is confirmed or supported by something else.
this is validated by
Replaces 'demonstrated' with 'validated', indicating confirmation of accuracy or truth.
this is substantiated by
Uses 'substantiated' to highlight that something is supported by solid evidence.
FAQs
How can I use "this is demonstrated on" in a sentence?
Use "this is demonstrated on" to introduce a specific example or case that illustrates a particular point or concept. For instance, "The effectiveness of the new method "is demonstrated on" the improved test scores." Make sure that what is being demonstrated is clear.
What phrases can I use instead of "this is demonstrated on"?
Alternatives include "this is exemplified by", "this is illustrated by", or "this is shown in" depending on the context and the nuance you wish to convey.
Is it better to use "this is demonstrated by" or "this is demonstrated on"?
"This is demonstrated by" and "this is demonstrated on" are both grammatically correct and commonly used. The choice between them often depends on the specific context. For instance, "This is demonstrated by the data" sounds natural, while "This is demonstrated on the test case" might be more fitting.
What does "this is demonstrated on" imply in academic writing?
In academic writing, "this is demonstrated on" typically introduces an empirical finding, experimental result, or a specific case study that supports a claim or hypothesis. It suggests that the statement is not merely theoretical but has been shown to be true in a practical or applied setting.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
80%
Authority and reliability
4.1/5
Expert rating
Real-world application tested