as expounded above

USAGE SUMMARY

The phrase "as expounded above" is correct and usable in written English.
It can be used to refer back to information or explanations that have been provided earlier in the text. Example: "The theory of relativity, as expounded above, has significant implications for our understanding of time and space."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

LPC as expounded above may be modified by either restricting or extending the range of wffs in various ways: 1.Partial systems of LPC.

Encyclopedia Britannica

Various propositional calculi have been devised to express a narrower range of truth functions than those of PC as expounded above.

Encyclopedia Britannica

Qualms have sometimes been expressed about the intuitive soundness of some formulas that are valid in "orthodox" PC, and these qualms have led some logicians to construct a number of propositional calculi that deviate in various ways from PC as expounded above.

Encyclopedia Britannica

As expounded above, several studies suggest that conceptual comprehension of evolution may influence an individual's acceptance of evolution.

Evolution: Education and Outreach

The original Tononi-Sporns-Edelman measure C N (X) averages mutual information across bipartitions of the system (Figure1, left-hand figure); it is, however, extremely unwieldy to calculate in practice and, moreover, fails to capture information flow as expounded above.

Complex Adaptive Systems Modeling

On the other hand, the main mechanisms for the uptake of Cd2+ and Pb2+ by TISW were by electrostatic attraction and complexation, which are dependent on the pH of the working solutions as expounded above [29].

International Journal of Industrial Chemistry

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

The limitations that beset our understanding of Kant's philosophy of biology so far, some of which we have expounded above, continue to drive interpretive efforts to cast more light on that part of his doctrine, as exemplified in Goy and Watkins (forthcoming).

SEP

Based on the model of adaptively radiating lineages expounded above, we may predict that phenotypic diversification is high early in a group's history, when ancestors enter an adaptive zone with abundant resources [ 3, 10].

BMC Evolutionary Biology

In the cosmogony as expounded in the Bundahishn, Ormazd (Ahura Mazdā) and Ahriman are separated by the void.

Encyclopedia Britannica

Submission of an environmental risk analysis (ERA) as expounded by Annex II Directive 2001/18/EC [6].

Environmental Sciences Europe

Sneed's problem of theoretical terms, as expounded in (1971, Ch. II), concerns only the latter kind of expression.

SEP

Expert writing Tips

Best practice

Use "as expounded above" to clearly signal that you are referring back to a detailed explanation already provided in the text, ensuring readers can easily connect the current point to the earlier discussion.

Common error

Avoid using "as expounded above" in informal writing or conversation. This phrase is best suited for formal, academic, or technical contexts where a more sophisticated tone is appropriate.

Linguistic Context

The phrase "as expounded above" functions as an adverbial phrase, modifying a clause by indicating that the information presented has been previously elaborated upon. Ludwig AI suggests it's grammatically correct and suitable for referring back to details already provided.

Expression frequency: Uncommon

Frequent in

Science

43%

Encyclopedias

29%

News & Media

28%

Less common in

Formal & Business

0%

Social Media

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "as expounded above" is a grammatically correct adverbial phrase used to refer back to a detailed explanation provided earlier in a text. Ludwig AI confirms its correctness. It is most appropriate for formal and scientific writing, where precision and clarity are essential. While not as common as simpler alternatives like "as previously explained", it provides a clear signal that a thorough explanation has already been given, ensuring coherence and avoiding unnecessary repetition. When selecting a synonym, consider the specific context and desired level of formality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as previously explained

This alternative is a more straightforward and common way to refer to information already presented.

according to the explanation above

This alternative is a more literal and direct way to refer to the previous explanation.

as discussed earlier

This alternative replaces "expounded" with "discussed", suggesting a less formal or detailed explanation.

as detailed above

This alternative emphasizes the level of detail provided in the previous explanation.

consistent with the above explanation

This alternative focuses on maintaining consistency with the preceding information.

following the aforementioned explanation

This alternative uses "aforementioned" to add a degree of formality.

in accordance with what has been said

This alternative uses a more formal and elaborate construction.

in line with the previous exposition

This alternative replaces "expounded" with "exposition", maintaining a formal tone.

as demonstrated above

This alternative emphasizes that the previous information was presented as a demonstration or proof.

pursuant to the foregoing

This alternative is a highly formal, legalistic phrasing.

FAQs

How can I use "as expounded above" in a sentence?

Use "as expounded above" to refer back to a previously provided explanation, such as, "The theoretical framework, as expounded above, provides a basis for understanding the experimental results."

What phrases are similar to "as expounded above"?

Alternatives include "as previously explained", "as discussed earlier", or "as detailed above", which can be used depending on the level of formality and detail required.

Is "as expounded above" appropriate for informal writing?

No, "as expounded above" is generally too formal for informal writing. Simpler phrases like "as I said earlier" or "as we discussed" are more appropriate.

What is the difference between "as expounded above" and "as mentioned above"?

"As mentioned above" refers to something briefly noted, while "as expounded above" indicates a more detailed and thorough explanation was previously given. Use "as expounded above" when referring back to a complex idea already explained.