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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
as understood above
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as understood above" is correct and usable in written English.
It can be used to refer back to information or concepts that have been previously mentioned or clarified in the text. Example: "The terms of the agreement, as understood above, will be finalized by the end of the week."
✓ Grammatically correct
Science
News & Media
Alternative expressions(19)
as previously mentioned
as noted earlier
as previously explained
as mentioned earlier
in light of the above
as I said before
as discussed before
according to the foregoing
as defined previously
considering the aforementioned
as hinted above
as acknowledged above
as assumed above
as told above
as argued above
as seen above
as explained above
as underlined above
as said above
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
1 human-written examples
Seen in this manner, "now" for the Zen person is a temporalization of zero time, while "here" is equally a spatialization of zero space, even though he or she may be anchored in the perceptual field of "here and now" as understood above.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
Future investigation may now link the different features Freud attributed to the ego to the self as understood here and the above described mechanisms (see [ 8, 9]).
That it is almost possible to look at the film this way — to foresee a time when it might be understood, above all, as a film — may be the only concrete hope Mr. Burnat and Mr. Davidi have to offer.
News & Media
That is to say, it is understood above all as the realm of the dead.
Science
Merrill understood, above all, mass-market distribution.
News & Media
The unreasonableness to which EPR allude in making "the reality [on the second system] depend upon the process of measurement carried out on the first system, which does not in any way disturb the second system" is just the unreasonableness that would be involved in renouncing locality understood as above.
Science
It is obvious that ξ = ξ ̄, ξ ⋅ sgn = ξ, sgn = Ĩ A, ξ - 1 ⋅ ξ = ξ ⋅ ξ - 1 = Ĩ A, where A = {ω ∈ Ω : ξ0 ≠ 0} and Ĩ A denotes the equivalence class of the characteristic function I A of A. Throughout this article, the symbol Ĩ A is always understood as above unless stated otherwise.
As above, subtle and as-yet not understood interactions for amphiphilic copolycation antimicrobials confound an easy interpretation of such comparisons.
Science
It might be, for instance, that some probabilistic version of abduction does much better, at least in our world, than Bayes' rule, in that, on average, it approaches the truth faster in the sense that it is faster in assigning a high probability (understood as probability above a certain threshold value) to the true hypothesis.
Science
This point is important also because the role of NRSF in mature neurons is not fully understood, as discussed above.
Science
To understand the above-mentioned problem statement, research objectives and questions, the rest of the paper is as follows.
Expert writing Tips
Best practice
Use "as understood above" to ensure clarity and coherence in your writing by explicitly linking back to previously defined concepts or information. This helps avoid ambiguity and reinforces key points for the reader.
Common error
Refrain from using "as understood above" repeatedly within a short section of text. Overusing it can make your writing sound redundant and cumbersome. Instead, vary your referencing techniques or rely on natural flow where the connection is already clear.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as understood above" functions as a prepositional phrase, serving as an adjunct to clarify or qualify a statement by referring back to a previously mentioned concept or explanation. As Ludwig AI confirms, it's grammatically sound and serves to ensure clarity.
Frequent in
Science
30%
News & Media
25%
Formal & Business
15%
Less common in
Encyclopedias
10%
Wiki
10%
Reference
10%
Ludwig's WRAP-UP
In summary, the phrase "as understood above" is a prepositional phrase used to refer back to previously mentioned information, ensuring clarity and contextual understanding. While grammatically correct and helpful for avoiding ambiguity, it should be used judiciously to prevent redundancy. Ludwig AI indicates the phrase is usable in written English. It is most commonly found in scientific and news contexts, reflecting a formal register. Consider alternatives like "as previously explained" or "as mentioned earlier" to vary your writing style. Keep in mind while it's perfectly acceptable in written English, it's important to vary your referencing techniques or rely on natural flow where the connection is already clear.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as previously explained
Replaces 'understood' with 'explained', focusing on the act of clarification rather than comprehension.
as mentioned earlier
Highlights the temporal aspect of prior mention, suitable when referring to something discussed before.
as discussed before
Similar to 'mentioned earlier', but emphasizes a more in-depth conversation or analysis.
according to the foregoing
A more formal and academic way to refer to preceding text, emphasizing agreement with what has been stated.
in light of the above
Emphasizes that subsequent statements are made considering the information already presented.
given the prior context
Focuses on the importance of understanding something in relation to its surrounding information.
based on what was presented
Highlights that the understanding is built upon information that has already been laid out.
as defined previously
Suitable when referring to a specific definition or clarification given earlier in the text.
referring to what's above
A more direct and less formal way to point back to the preceding text.
considering the aforementioned
A formal way of indicating that something should be taken into account.
FAQs
How can I use "as understood above" in a sentence?
You can use "as understood above" to refer back to a concept or explanation previously mentioned in your text. For example: "The terms of the agreement, as understood above, will be finalized by the end of the week."
What are some alternatives to "as understood above"?
Some alternatives include "as previously explained", "as mentioned earlier", or "in light of the above". The best choice depends on the specific context.
When is it appropriate to use "as understood above"?
It's appropriate when you need to explicitly link a current statement back to a prior explanation or definition, ensuring the reader has the necessary context to fully understand the point you're making.
Is "as understood above" formal or informal?
"As understood above" leans towards a more formal register, suitable for academic or professional writing. In more casual contexts, phrases like "as I said before" might be more appropriate.
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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
4.5/5
Expert rating
Real-world application tested