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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 characterized above
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as characterized above" is correct and usable in written English.
It can be used to refer back to a description or definition provided earlier in the text. Example: "The results of the experiment were consistent with the findings as characterized above."
✓ Grammatically correct
Science
Academia
News & Media
Alternative expressions(20)
as clarified above
as documented above
as delineated above
as said above
as mentioned earlier
as illustrated above
as demonstrated above
as disclosed above
as characterised above
as depicted above
as indicated above
as displayed above
as assigned above
as articulated above
as shown below
in light of the foregoing
as emphasised above
as evidenced above
as confirmed above
as described before
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
6 human-written examples
As characterized above (and of course, I'm not a lawyer to know one way or the other), this is an open-and-shut case in Apple's favor.
Academia
As characterized above, mindreading is a human capacity directed at humans.
Science
Second, we have discussed that, if true, LOTH would solve one of the mysteries about thinking minds: how is thinking (as characterized above) possible?
Science
Not only is the platonism under discussion not Plato's, platonism as characterized above is a purely metaphysical view: it should be distinguished from other views that have substantive epistemological content.
Science
But these views are entirely compatible with the ordinary conception, as characterized above, because they do not (or at least need not) have any revisionary implications regarding which objects there are at a given place and time.
Science
Furthermore, scientists themselves don't seem to take the scientific epistemic attitude (as characterized above) to all of what they believe, or even all of what they believe as scientists.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
54 human-written examples
In short, the algebraic approach focuses on local (or quasi-local) observables and treats the notion of a field as a derivative notion; whereas the axiomatic approach (as characterized just above) regards the field concept as the fundamental notion.
Science
Finally, although not as well characterized as the above interactions, recent data also indicate that the receptors associate with EIN2 (Bisson et al. 2009; Bisson and Groth 2010).
Science
By contrast, Wallace (2006) argues that an interpretation of QFT should be based on what he calls "Lagrangian" QFT, which are close associates with what is characterized above as the pragmatic approach.
Science
Consider the resemblance between what we have characterized above as an abstract concept (e.g., preparation) and a typical example of an analogy one might, for instance, construct an analogy to describe preparation by comparing a student studying for a difficult examination to a long-distance runner training for a marathon (law student : studying :: marathon runner : training).
Evidence against the information theoretic hypothesis (as characterized using the MI equation derived above) is therefore evidence in favor of an internal monitoring system.
Science
Expert writing Tips
Best practice
When using "as characterized above", ensure that the characterization you are referring to is clear and unambiguous. Avoid vague or poorly defined characterizations that can lead to confusion.
Common error
Avoid using "as characterized above" if the characterization is not recent or prominent in the text. Readers might not remember the details, so briefly restate the key points or provide a direct reference.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as characterized above" serves as a referential marker, directing the reader's attention to a prior definition or description within the text. Ludwig AI shows that it's employed to maintain coherence and avoid redundancy, assuming the reader recalls the initial characterization.
Frequent in
Science
60%
Academia
30%
News & Media
10%
Less common in
Formal & Business
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, "as characterized above" is a useful phrase for referring back to previously defined concepts or descriptions within a text. Ludwig AI indicates that it is grammatically correct and most frequently found in scientific and academic writing. While effective for maintaining coherence, it's important to ensure that the referenced characterization is clear and easily recalled by the reader. For more informal contexts, consider using simpler alternatives. The phrase's formality makes it well-suited for professional and academic settings, while careful usage will prevent assumptions about reader recall.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as previously defined
This alternative is more formal and directly indicates a prior definition.
as mentioned earlier
This alternative is slightly less formal and emphasizes the act of mentioning something before.
as described before
This alternative focuses on the descriptive aspect of the prior information.
in accordance with the above description
This alternative is highly formal and emphasizes agreement with the prior description.
pursuant to the characterization above
This alternative is legalistic and implies action based on the prior characterization.
following the definition above
This alternative is more specific to definitions rather than general characterizations.
consistent with the preceding account
This alternative is more formal and focuses on the consistency of information.
in line with the prior description
This alternative emphasizes alignment with the earlier description.
according to what was characterized above
This alternative is more verbose and emphasizes the source of the characterization.
as previously outlined
This alternative is suitable when the prior information was presented as an outline.
FAQs
What does "as characterized above" mean?
The phrase "as characterized above" is used to refer back to a description, definition, or explanation that has already been provided earlier in the text. It's a way to avoid repetition and to connect current information with previously established concepts.
How can I use "as characterized above" in a sentence?
You can use it to introduce a statement that relies on a prior definition. For example: "The results are consistent with the theoretical model, "as characterized above", indicating a strong correlation."
What are some alternatives to "as characterized above"?
Some alternatives include "as previously defined", "as mentioned earlier", or "as described before". The best choice depends on the specific context and the level of formality required.
Is "as characterized above" formal or informal?
The phrase "as characterized above" is generally considered neutral to formal. It's suitable for academic, scientific, and professional writing. For more informal contexts, you might choose a simpler phrase like "as I said before".
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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