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 • 833 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,

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