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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
are demonstrated below
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "are demonstrated below" is correct and usable in written English.
It can be used when referring to information, examples, or results that will be shown later in the text. Example: "The key findings of the research are demonstrated below in the following charts and graphs."
✓ Grammatically correct
Science
News & Media
Alternative expressions(17)
are shown below
are illustrated below
are described below
are presented below
are outlined below
are detailed below
are explained below
can be seen below
the following demonstrates
are designated below
are suggested below
are delineated below
are offered below
are cited below
are highlighted below
are well below
are articulated below
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
3 human-written examples
These signals, used by all members of the dining room staff, are demonstrated below by the restaurant's general manager, Will Guidara.
News & Media
Samples of these inequalities are demonstrated below.
These societal pressure categories are demonstrated below: "The old women … advised me that it is not necessary to go early [to the ANC] because you will be going there all the time.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
57 human-written examples
An exemplary application is demonstrated below.
Science
You can also capture video with sound in MP4 or 3GP formats, which is demonstrated below.
News & Media
Unfortunately, as will be demonstrated below, this desirable property is not necessarily inherited by the infinite steepness limit problem.
As will be demonstrated below, m s → v ( k ) is in general not Gaussian-distributed, even if m v → s ( k ) is Gaussian.
The reason is that the residual error terms will have almost no influence on the results, as will be demonstrated below.
Science
Also, as will be demonstrated below, the number of clear weather nights is a robust normalizing factor, when considering data sets with a different length of observational period.
Science
For the kink between (3) and (4), it means a dramatic Cape occurring inTVD-space when it passes the tuning rate window as will be demonstrated below.
Science
Stepwise application of the Monte Carlo method in estimating parameter uncertainties with 200 simulations is demonstrated below: 1. Resample θ using the Monte Carlo method in different columns.
Expert writing Tips
Best practice
Use "are demonstrated below" to clearly signal that specific examples, data, or procedures will follow to support a claim or illustrate a concept. This helps guide the reader and enhances comprehension.
Common error
Avoid using "are demonstrated below" repeatedly within a short section of writing. Vary your language by using alternatives such as "are shown below", "are illustrated below", or /s/refer+to to prevent redundancy and maintain reader engagement.
Source & Trust
84%
Authority and reliability
4.3/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "are demonstrated below" serves as a transitional phrase, guiding the reader to expect supporting evidence, examples, or illustrations that will clarify a preceding statement. Ludwig AI confirms this usage with examples from various sources.
Frequent in
Science
60%
News & Media
30%
Formal & Business
10%
Less common in
Wiki
0%
Encyclopedias
0%
Social Media
0%
Ludwig's WRAP-UP
In summary, the phrase "are demonstrated below" is a grammatically correct and usable phrase in written English. While Ludwig AI identifies it as a less frequent expression, it's suitable for introducing examples or evidence. This phrase functions as a guidepost, signaling to the reader that supporting details or illustrations will follow. While versatile, it's best used in formal or neutral contexts, such as in scientific papers or news articles, and should be used judiciously to avoid redundancy.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
are shown below
Changes the verb from "demonstrated" to "shown", offering a slightly more direct and less formal tone.
will be demonstrated below
Adds "will be" to emphasize the future presentation of the demonstration, adding a slight nuance of anticipation.
are illustrated below
Replaces "demonstrated" with "illustrated", suggesting a visual or descriptive presentation.
are exemplified below
Substitutes "demonstrated" with "exemplified", emphasizing the use of examples to support a point.
are presented below
Uses "presented" instead of "demonstrated", indicating a formal introduction of information.
are outlined below
Replaces "demonstrated" with "outlined", suggesting a structured overview.
are detailed below
Changes "demonstrated" to "detailed", emphasizing a thorough explanation.
are explained below
Substitutes "demonstrated" with "explained", focusing on clarification and understanding.
can be seen below
Shifts the focus to the reader's perception, suggesting that the demonstration is readily observable.
the following demonstrates
Restructures the sentence to highlight what is doing the demonstrating rather than what is being demonstrated.
FAQs
How can I use "are demonstrated below" in a sentence?
Use "are demonstrated below" to introduce examples, data, or processes that will be shown later in your writing. For instance, "The effects of the new policy are demonstrated below in Figure 1."
What can I say instead of "are demonstrated below"?
You can use alternatives like "are shown below", "are illustrated below", or "are exemplified below" depending on the specific context.
Is it correct to use "are demonstrated below" in formal writing?
Yes, "are demonstrated below" is appropriate for formal writing, especially in academic and scientific contexts. It clearly indicates that supporting evidence or examples will follow.
What's the difference between "are demonstrated below" and "are described below"?
"Are demonstrated below" implies that examples or evidence will be presented, while "are described below" suggests that details or characteristics will be provided. The choice depends on whether you are showing examples or providing explanations.
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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
84%
Authority and reliability
4.3/5
Expert rating
Real-world application tested