as formulated above

USAGE SUMMARY

The phrase "as formulated above" is correct and usable in written English.
It can be used to refer back to a previously stated idea or formulation in a document or discussion. Example: "The results of the experiment align with the hypothesis, as formulated above, indicating a strong correlation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

13 human-written examples

Without such a barrier, the extraction postulates as formulated above would allow the ill-formed sentence to be derived.

SEP

The estimator, as formulated above, will be optimistically biased, in general, according to the following rationale.

EURASIP Journal on Advances in Signal Processing

In the normative claim of judgments of taste, as formulated above, other people do not figure in the account.

SEP

The justifying or rationalizing role of evidence is also central to other prominent epistemological views, including views which are strictly speaking incompatible with Evidentialism as formulated above.

SEP

After solving the problem as formulated above, the traffic flows (footprints) relative to the single links composing the minimal cost network flow are identified.

Journal of Modern Transportation

But as it turns out, following the thread provided by the two key notions (TP) and (ST) as formulated above provides a suitable vantage point to investigate the development of the notion of consequence in the Latin Middle Ages.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

47 human-written examples

The MIDO problem formulated above is extremely challenging to solve.

Bioinformatics

The equations formulated above now allow calculating absorbed doses.

BioMed Research International

Our new-product introduction plans will continue as formulated.

The New York Times

The above expression (3.11) is evidently the exact integral solution of the problem as formulated in (2.1 - 2.4 2.1 - 2.4

Boundary Value Problems

If interventionism is formulated as above, this criticism seems misplaced.

SEP

Expert writing Tips

Best practice

Use "as formulated above" when you want to specifically refer back to a detailed or precisely worded statement, such as a definition, equation, or hypothesis. It adds a level of formality and precision appropriate for academic or technical writing.

Common error

Avoid using "as formulated above" in casual conversation or informal writing. Opt for simpler phrases like "as I said before" or "as mentioned earlier" to maintain a natural tone.

Linguistic Context

The phrase "as formulated above" functions as an adverbial phrase, modifying a verb or clause by providing a reference point to a previously established concept or statement. Ludwig's examples illustrate its use in directing the reader's attention to a prior definition or idea within the text.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "as formulated above" is a grammatically sound adverbial phrase used to reference a previously stated idea, most commonly in scientific or academic writing. Ludwig AI confirms its correctness and provides examples showcasing its use for precision and clarity. While less common in informal contexts, it's crucial for avoiding redundancy in formal communication. Related phrases offer alternatives depending on the level of formality required. Using "as formulated above" appropriately enhances the clarity and professionalism of technical and academic documents.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

based on the formulation above

Shifts the focus to the foundation provided by the earlier formulation.

given the prior formulation

Implies that the following statement is a logical consequence of the earlier formulation.

according to what was formulated earlier

More verbose but retains the "formulated" concept.

as previously stated

This alternative is more direct and lacks the technical nuance of "formulated".

as mentioned earlier

Focuses on the act of mentioning rather than the precise formulation.

as established above

Stresses that something has been proven or demonstrated previously.

as described before

Emphasizes the descriptive aspect of the prior statement.

as defined previously

Highlights that a definition was already provided.

in accordance with the above

More formal and emphasizes agreement or compliance.

pursuant to the foregoing

A highly formal and legalistic substitute.

FAQs

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

Use "as formulated above" to refer back to a specific statement or definition previously presented in your text. For example: "The equation, as formulated above, provides a clear method for calculating the variable."

What's a simpler way to say "as formulated above"?

You can use alternatives like "as mentioned earlier", "as previously stated", or "as described above", depending on the context.

When is it appropriate to use "as formulated above"?

It's appropriate in formal writing, especially in academic or scientific contexts, when you need to reference a precise definition, theory, or equation that you've already presented.

Is "as formulated above" interchangeable with "as stated above"?

While similar, "as formulated above" implies a more precise and structured statement than "as stated above". Use "as formulated above" when referring to a specific formulation, such as a hypothesis or a mathematical equation.