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The part of the sentence "demonstrating by example" is correct and usable in written English.
You can use it when you want to show someone how to do something by using a practical example. For example, "The teacher demonstrated how to solve the problem by example."
Exact(2)
It's a way of demonstrating by example that Hana and others won't be forgotten, and that her individual humanity will not be overshadowed by mass atrocity.
They need to personally be mentoring, proselytizing, and demonstrating by example a different model of investing in women and minority-group entrepreneurs.
Similar(58)
I hope I demonstrate by example that it is important".
Scientists need to be prepared to demonstrate by example that questioning perceived truth, especially "sacred truth," is an essential part of living in a free country.
And it needs to demonstrate by example that there are certain rules that everybody has to follow, one of the most important of which is that you do not invade another country for any but the most compelling of reasons.
Actions to take upon recognition are also demonstrated by example.
Let me demonstrate by example: Portfolio A has $100,000 invested 100% in stocks.
This section demonstrates by example how the NCRAWL framework allows for easy implementation of scheduling algorithms.
The use of this method in formally documenting good and poor patterns in an abstract way is demonstrated by example.
The importance of this approach is demonstrated by example calculations to show the effect of uncertainties due to ambiguous chemical structures on the output of QSAR models.
While it can be demonstrated by example that the same result is obtained by the two algorithms, no generalised proof of their equivalence has previously been presented.
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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