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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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

as demonstrated below

Grammar usage guide and real-world examples

USAGE 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

Human-verified examples from authoritative sources

Exact Expressions

44 human-written examples

It's a bit burdensome, as demonstrated below.

News & Media

TechCrunch

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.

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.

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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

The Guardian

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

Plosone

However, as we demonstrate below, a subset of these polymorphisms do affect splicing efficiency.

As we demonstrate below, the observed current fluctuations are dependent on the concentration of the Hsc70 present in solution.

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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.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

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.

Expression frequency: Very common

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.

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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Source & Trust

82%

Authority and reliability

4.6/5

Expert rating

Real-world application tested

Most frequent sentences: