Used and loved by millions
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 formulated by
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as formulated by" is correct and usable in written English.
It can be used to attribute a specific formulation or idea to a particular source or author. Example: "The theory of relativity, as formulated by Albert Einstein, revolutionized our understanding of space and time."
✓ Grammatically correct
Science
News & Media
Academia
Encyclopedias
Alternative expressions(20)
as defined by
as articulated by
according to
as expressed by
as theorized by
as proposed by
as conceptualized by
as developed by
attributable to
as formalized by
as prepared by
as devised by
as identified by
as elaborated by
as investigated by
as demonstrated by
as created by
as located by
as generated by
as promulgated by
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
60 human-written examples
The response to stress, as formulated by Selye [ 31], causes the release of corticotrophin by the pituitary; cortisol, epinephrine and other hormones by the adrenal gland.
Science
The rural-urban divide, as formulated by Tory theorists, is nothing to do with location.
News & Media
The Eddington bias, as formulated by the man himself, applies at all intensities.
Academia
Provides an observational experience as formulated by the instructor and student.
Academia
These lines mocked the Communist claim to rule, which was based on the theory of history as formulated by Marx.
News & Media
A coupling method is proposed between extended Boussinesq equations, as formulated by Jamois et al. [2006.
Science
The majority, called Neo-Utraquists by modern historians, professed Lutheran tenets as formulated by Luther's associate Philipp Melanchthon.
Encyclopedias
It also said the military tribunals, as formulated by the Pentagon under White House guidance, were illegal.
News & Media
As formulated by Kepler, the laws do not, of course, take into account the gravitational interactions (as perturbing effects) of the various planets on each other.
Encyclopedias
In both regions thinkers who held to the idea of philosophy as formulated by the Eastern and Western philosophers thus far discussed continued to teach.
Encyclopedias
It is the clear policy of the state, as formulated by the Regents and S.E.D. [State Education Department], that all children can attain the substantive knowledge and master the skills expected of high school graduates.
News & Media
Expert writing Tips
Best practice
Use "as formulated by" to give credit where it's due, especially when discussing theories, models, or concepts that originate from specific individuals or groups.
Common error
While accurate, "as formulated by" can sound overly formal in casual writing. Opt for simpler alternatives like "according to" or "based on" for a more natural tone.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as formulated by" functions as a prepositional phrase that introduces a citation or attribution. It explicitly connects a concept, theory, or idea to its originator. Ludwig AI confirms its accurate and varied application across academic and professional contexts.
Frequent in
Science
35%
News & Media
20%
Academia
15%
Less common in
Encyclopedias
10%
Formal & Business
5%
Wiki
2%
Ludwig's WRAP-UP
In summary, "as formulated by" is a prepositional phrase used to attribute ideas, theories, or methods to their creators. Ludwig AI confirms the phrase is grammatically correct and very common, especially in academic, scientific, and journalistic contexts. While highly appropriate for formal writing, it can be overly formal in casual settings. When using this phrase, ensure accurate representation of the original source. For less formal contexts, consider using options like "according to" or "as defined by".
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as defined by
Focuses on the definition provided by a specific source, rather than the overall formulation.
as expressed by
Emphasizes the articulation or communication of an idea by someone.
as articulated by
Highlights the clear and detailed presentation of an idea by a particular person.
according to
A more general way of indicating that information comes from a specific source.
based on the work of
Highlights that something is developed or influenced by someone's previous efforts.
as theorized by
Specifically refers to the creation of a theory by a named individual.
as proposed by
Emphasizes the suggestion or recommendation of an idea by someone.
as conceptualized by
Highlights the initial creation of a concept by a specific person.
as developed by
Focuses on the process of expanding or improving something by a particular individual.
attributable to
More concise way to indicate something can be credited to an individual or source.
FAQs
How can I use "as formulated by" in a sentence?
Use "as formulated by" to attribute a concept, theory, or method to its originator. For example, "The theory of general relativity, as formulated by Einstein, revolutionized physics."
What phrases are similar to "as formulated by"?
You can use alternatives such as "as defined by", "according to", or "as articulated by" depending on the context.
Is "as formulated by" too formal for everyday conversation?
Yes, "as formulated by" is generally too formal for casual conversation. In informal settings, consider using phrases like "according to" or simply stating the source's name.
When is it most appropriate to use the phrase "as formulated by"?
It's best to use "as formulated by" in academic writing, formal reports, or any context where precise attribution of ideas is crucial. This is especially important when discussing theories or models.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested