by means of the following example, vs by the following example,

Both phrases are correct, but they are used in slightly different contexts. "By means of the following example" is more formal and emphasizes the method or mechanism used to present the example. On the other hand, "by the following example" is more straightforward and commonly used in everyday language.

Last updated: March 19, 2024 • 843 views

by means of the following example,

This phrase is correct and is commonly used in formal contexts to emphasize the method or mechanism used to present the example.

This phrase is used to introduce an example and emphasize the method or mechanism through which the example will be presented.

Examples:

By means of the following example, we can better understand the concept.
The concept can be explained by means of the following example.

Show examples from the web [+]

... is possible with the approach by MCKNEW et al. We close this gap and give a negative answer to the question by means of the following example. ,,,. @@@I.
... cost) is possible with the approach by MCKNEW et al. We close this gap and give a negative answer to the question by means of the following example. §©¨ © .
This will be explained by means of the following example file, which, in fact, is the input file for your first real QM calculation using GAMESS. You don't need to ...
The Gettier problem can be briefly illustrated by means of the following example ( but for more detailed discussion of the problem and the vast variety of proposed ...

Alternatives:

Through the following example,
Using the following example,
With the following example,
By using the following example,
Illustrated by the following example,

by the following example,

This phrase is correct and is commonly used in everyday language to introduce an example without emphasizing the method or mechanism.

This phrase is used to introduce an example in a straightforward manner without emphasizing the method or mechanism through which the example will be presented.

Examples:

Let's understand this concept by the following example.
The theory is illustrated by the following example.

Show examples from the web [+]

Some of the differences between chemical compounds and mixtures of elements are illustrated by the following example using raisin bran and "Crispix.".
Oct 14, 2014 ... solution as the step size h decreases. This is illustrated by the following example. Consider the initial value problem y = 1 − t + y, y(t0) = y0.
In cpp mode, C strings and comments are understood as such, as illustrated by the following example: #define BLAH foo BLAH "BLAH" /* BLAH */ 'It\'s a /*string*/ ...
Similar 1,2-shifts of hydrogen or alkyl groups may also be favored by loss of a stable anion, as illustrated by the following example. Once again, an alkoxide ...

Alternatives:

With the following example,
Using the following example,
Through the following example,
By using the following example,
Illustrated by the following example,

What Our Customers Are Saying

Our customers love us! We have an average rating of 4.79 stars based on 283,125 votes.
Also check out our 2,100+ reviews on TrustPilot (4.9).

"Thank you!"
Sachi Nakama July 2024
"I have literally been through chat, PI, claude, bard and bing and I got conflicting answers! Thank you! Human intelligence reigns!"
Retha July 2024
"Faster than AI"
CYNTHIA December 2023
"This was very helpful and I personally think this site is the best."
Kaden October 2023
"It was extremely thorough and very helpful!"
imperialelisa October 2023
"7 years without any disappointment. Always 100% satisfied. You guys are the best in the world at what you do. Thank you so much :)"
Zubair Alam October 2023
"In a world of text messages and online communication, this is great to have as a live tool. Thank you."
Selena October 2023
"Without textranch I would be stuck!"
宏祐 October 2023
"Accuracy and fast response. Personal comments from editor. Thank you."
Clh September 2023
"I wasn't aware of this service, it's fascinating and more reliable than standard IA tools available on the internet"
Arturo September 2023
"The fact that you can get reliable fast feedback on your texts."
Vinicius Antonio August 2023
"you guys are better than grammarly i'm being honest here"
ordinary July 2023
"OMG! This is really good than any other text correction tools I've used so far. Highly recommend this."
Vehan July 2023
"Very fast and accurate. thank you."
mojtaba July 2023
"I love this app because it's help to writing skills all of students ♥️"
Tarisini July 2023
"This was exactly the mistake I was looking for, the wording dind´t sound right at first. Better than grammarly!"
Ente July 2023
"The immediate help that I received was reassuring and very satisfactory. Thanks."
priiiyanshuu July 2023
"this helps A LOT for my studies."
kathnunez02 June 2023
"Woow!! I would never have expected such precision! Thank you soooo much!!"
Berta June 2023
"Real Time Editor and not AI. Many Thanks."
Priya June 2023
"The very first thing excites me about Textranch is how much your editors care."
sepideh June 2023
"The fact that texts are checked by human editors rather than by AI, etc. I appreciate this!"
Анна June 2023
"Feel welcome, immediate response, high quality feedback"
martin.roy June 2023
"This is the best app that I have ever seen"
Burulai May 2023

by means of the following example, vs by the following example,