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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
further demonstrated below
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "further demonstrated below" is correct and usable in written English.
It can be used when indicating that additional evidence or examples will be provided later in the text. Example: "The effectiveness of the new marketing strategy will be further demonstrated below through case studies and statistical analysis."
✓ Grammatically correct
Alternative expressions(2)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified similar examples from authoritative sources
Similar Expressions
60 human-written examples
Indeed, MCM, Cdc45, and PCNA loading, as we have shown above (and further demonstrate below), is itself a transcriptional-independent process in late-G1, and the timing of their loading directly correlates with the appearance and persistence of hyperphosphorylated Rb.
Science
Anoxia in the tailings was further demonstrated by the appearance of dissolved ΣH2S, Fe and Mn in pore water at depths −1.5 cm below the interface.
Science
The robustness of this approach was further demonstrated using high-depth sequencing on an independent platform to confirm top-ranked somatic mutations (see below).
Science
The quote below further demonstrates this view.
Science
In all cases, the ratio remained below $11,500 per QALY, further demonstrating the cost-effectiveness of ticagrelor (Table S6).
This further demonstrates the robustness of SGTs.
Science & Research
These reagents will be important to measure the activity from different KDAC isoforms in complex cellular samples, as demonstrated below, to further our understanding of the differential roles of these enzymes in cellular behavior.
Science
An exemplary application is demonstrated below.
Science
Samples of these inequalities are demonstrated below.
It's a bit burdensome, as demonstrated below.
News & Media
As demonstrated further below, Treasury can afford to buy at substantially higher prices.
News & Media
Expert writing Tips
Best practice
When using "further demonstrated below", ensure the subsequent text directly supports and clarifies the preceding statement. Use it as a signpost to guide the reader to the relevant evidence.
Common error
Avoid using "further demonstrated below" if the demonstration is not immediately clear or closely following. Readers might miss the connection if the demonstration is too far removed or ambiguously linked.
Source & Trust
60%
Authority and reliability
3.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "further demonstrated below" functions as a discourse marker, specifically a signpost, alerting the reader to the upcoming provision of evidence or examples that reinforce a preceding statement. Ludwig suggests this signals a sequential presentation of supporting material.
Frequent in
Science
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News & Media
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Formal & Business
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Less common in
Science
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News & Media
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Formal & Business
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Ludwig's WRAP-UP
In summary, the phrase "further demonstrated below" is a grammatically sound discourse marker used to signal that additional evidence or examples will be presented later in the text. Although Ludwig confirms its grammatical correctness, this phrase is not very common. While versatile, alternatives like "explained later" or "illustrated in the next section" might offer greater clarity or stylistic variation. When employing "further demonstrated below", ensure a clear connection between the initial claim and the subsequent demonstration to maximize its effectiveness as a guiding signpost for the reader. Due to absence of the examples, there are some limitations in the analysis.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
demonstrated further down
Changes the directional indicator to "down", implying a physical location further in the document.
shown in more detail later
Replaces "demonstrated" with "shown" and "below" with "later", emphasizing a temporal aspect rather than spatial.
explained in greater depth subsequently
Uses more formal vocabulary like "subsequently" and "greater depth", increasing formality.
illustrated further in the following section
Specifies "illustrated" instead of "demonstrated", implying a visual or example-based clarification.
elaborated on further in what follows
Uses the phrase "what follows" to replace "below", offering a slightly more literary tone.
discussed at length hereafter
Replaces "below" with "hereafter" and "demonstrated" with "discussed at length" which shifts the focus to a more comprehensive discussion.
detailed further in the next segment
Substitutes "segment" for "below", suggesting a division of the text into distinct parts.
expanded upon later in this chapter
Offers a more specific location, "this chapter", and replaces "demonstrated" with "expanded upon".
proven with additional data later
Changes "demonstrated" to "proven" and introduces the idea of "additional data" being presented later.
evidenced more thoroughly further on
Replaces "demonstrated" with "evidenced" and uses the phrase "further on" to suggest a continuation of evidence.
FAQs
How can I use "further demonstrated below" in a sentence?
Use "further demonstrated below" to signal that you will provide more evidence or examples to support a claim later in your text. For example, "The cost-effectiveness of the program is "further demonstrated below" in the financial analysis section."
What are some alternatives to "further demonstrated below"?
You can use alternatives such as "explained in more detail later", "illustrated further in the following section", or "elaborated on further in what follows".
Is it redundant to say "further demonstrated below"?
While not strictly redundant, "further demonstrated below" can sometimes be streamlined. Ensure that "below" is necessary, as the "further demonstrated" already implies that more information is coming. Consider whether just "further demonstrated" is sufficient.
What's the difference between "further demonstrated below" and "as demonstrated below"?
"As demonstrated below" refers to something already shown or proven, with the demonstration following immediately. "Further demonstrated below" implies additional demonstration is forthcoming, building upon previous points.
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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
60%
Authority and reliability
3.8/5
Expert rating
Real-world application tested