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
as demonstrated below
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as demonstrated below" is correct and usable in written English.
It can be used to refer to information or examples that will follow in the text, indicating that the reader should look for further clarification or evidence. Example: "The results of the experiment were significant, as demonstrated below in the data tables."
✓ Grammatically correct
Science
News & Media
Alternative expressions(20)
is equivalent to
in the wishes of
rapidly thereafter
for the immediate future
Very soon
somewhere later
one week before
at the early time
in the next weeks
it is important to remember
during the previous years
to avoid disruption
in accordance with direction from
a couple of books before
if not soon
as excellent as
in a flash
as instructed by the directive
as tall as
what I feel is that
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
44 human-written examples
It's a bit burdensome, as demonstrated below.
News & Media
But, as demonstrated below, this is not the case.
Lastly, as demonstrated below, this approach naturally provides the means of creating unique, concise, informative names of neuron types.
Science
As demonstrated below with the use of the elaborated stiff string drag and torque model, this curve has simpler geometry and is suitable for use of spline approximations.
As demonstrated below, the launching of a cheetah team can be an effective means of dealing with unanticipated and urgent problems in the course of an ongoing project.
The results of these institutional efforts have improved hazard awareness and disaster preparedness, as demonstrated below in the response to Tropical Depression 12E in 2011.
Human-verified similar examples from authoritative sources
Similar Expressions
16 human-written examples
As I demonstrate below, the main difference between the Piketty time series for UK inequality and the Giles time series for UK inequality, is that Piketty corrects his data series to allow for this 23 percentage-point drop (caused by changes in the methodology used to measure the wealth distribution), whereas Giles does not.
News & Media
As we demonstrate below, the organization of video into sequences allows a more efficient use of the available memory resources in comparison to the widely used classical division of the videos into segments of equal size.
As we demonstrate below, one cannot differentiate these views on the basis of data collected by conventional means because all three can produce equivalent effects when only a single independent variable is manipulated.
Science
However, as we demonstrate below, a subset of these polymorphisms do affect splicing efficiency.
Science
As we demonstrate below, the observed current fluctuations are dependent on the concentration of the Hsc70 present in solution.
Science
Expert writing Tips
Best practice
Use "as demonstrated below" to clearly signal that supporting evidence, data, or examples will immediately follow. This enhances clarity and directs the reader's attention.
Common error
Avoid using "as demonstrated below" without providing a clear and direct demonstration immediately afterward. Ensure the connection between the phrase and the evidence is obvious to the reader.
Source & Trust
82%
Authority and reliability
4.6/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as demonstrated below" functions as an introductory element, signaling that supporting evidence or examples will be presented subsequently. It is used to guide the reader and strengthen the preceding statement. Ludwig AI confirms its correct usage.
Frequent in
Science
78%
News & Media
15%
Wiki
3%
Less common in
Formal & Business
2%
Encyclopedias
1%
Reference
1%
Ludwig's WRAP-UP
In summary, "as demonstrated below" is a highly functional introductory phrase used to direct the reader's attention to supporting evidence. Ludwig AI confirms that it is grammatically correct and common in formal and scientific writing, as well as news media. To use it effectively, ensure that the evidence is clear, relevant, and follows directly after the phrase. While alternatives like "as shown below" or "as illustrated below" exist, the core purpose remains the same: to strengthen your argument with verifiable support.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as shown below
Replaces "demonstrated" with "shown", focusing on visual evidence.
as illustrated below
Similar to "as shown below", but suggests a visual or graphic example.
as evidenced below
Substitutes "demonstrated" with "evidenced", emphasizing the presence of supporting proof.
as the following demonstrates
Rephrases the structure to emphasize the demonstrating element.
see the demonstration below
Turns the phrase into an imperative instruction to the reader.
the following example demonstrates
More explicit, specifies that an example will be provided.
the data below demonstrates
Specifies that data will be used as evidence.
as can be seen below
Focuses on the reader's ability to observe the evidence.
for example
A shorter, more general way to introduce an example.
to illustrate
Signals the introduction of an illustration or example.
FAQs
How can I use "as demonstrated below" in a sentence?
Use "as demonstrated below" to introduce evidence, data, or examples that support your claim. For instance, "The effectiveness of the treatment is clear, as demonstrated below in the clinical trial results."
What phrases are similar to "as demonstrated below"?
Alternatives include "as shown below", "as illustrated below", or "as evidenced below". The choice depends on the specific type of evidence you are presenting.
Is it redundant to say "as demonstrated below" if the evidence is already clearly presented?
While clarity is key, "as demonstrated below" serves as a useful signpost. However, if the evidence is exceptionally clear and immediately follows the statement, it can be omitted to avoid redundancy.
Can I use "as demonstrated below" to refer to information in a different section of the document?
While technically possible, it's best to use "as demonstrated below" when the demonstration is in close proximity. If referring to another section, consider a more direct reference like "as demonstrated in Section X".
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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
4.6/5
Expert rating
Real-world application tested