are formulated as

USAGE SUMMARY

"are formulated as" is a valid phrase in English and can be used to describe a situation where something is created or expressed in a particular way.
For example, "The new rules are formulated as an amendment to existing legislation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Three macro constraints are formulated as follows.

Agricultural and Food Economics

The reversible watermarking rules are formulated as follows.

EURASIP Journal on Advances in Signal Processing

In this study, all substructures are formulated as SMARTS expressions.

Journal of Cheminformatics

The second and third bounds are formulated as nonconvex problems.

EURASIP Journal on Advances in Signal Processing

Next, they are formulated as dynamic programming problems.

EURASIP Journal on Wireless Communications and Networking

These metrics are formulated as delivery function and delay function.

EURASIP Journal on Wireless Communications and Networking

Both models are formulated as one-dimensional equations.

Advances in Difference Equations

Finally, the design problems are formulated as optimization algorithms.

Mathematics and Computers in Simulation

Furthermore, sufficient conditions for controller synthesis are formulated as LMIs.

Automatica

The design conditions are formulated as Linear Matrix Inequalities (LMIs).

IFAC Proceedings Volumes

These conditions are formulated as a linear programming problem.

Automatica

Expert writing Tips

Best practice

Use "are formulated as" when you want to emphasize that something has been deliberately created or expressed in a specific, often systematic, way. For example, "The experiment's hypotheses are formulated as testable predictions."

Common error

Avoid using "are formulated as" when a simpler "are" or "are defined as" would suffice. Overusing the phrase can make your writing sound overly formal or pretentious. For instance, instead of "The rules are formulated as guidelines", consider "The rules are guidelines".

Linguistic Context

The phrase "are formulated as" primarily functions as a linking verb phrase, indicating a relationship between a subject and a predicate nominative or adjective. It signifies that the subject is being created, expressed, or defined in a specific manner. Ludwig AI confirms its grammatical correctness.

Expression frequency: Very common

Frequent in

Science

98%

Formal & Business

1%

News & Media

1%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "are formulated as" is a grammatically sound and frequently used phrase, predominantly in formal and scientific writing. According to Ludwig AI, it signifies that something is deliberately expressed or created in a specific form, often requiring precision and clarity. While alternatives like "are expressed as" or "are defined as" may suit less formal contexts, "are formulated as" shines when accuracy and detail are paramount. Remember to use it judiciously, avoiding overuse in simple definitions, to maintain a clear and professional tone. The abundance of examples from scientific journals highlights its value in academic and technical discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

are expressed as

Focuses on the act of expressing something, suitable when the emphasis is on communication.

are presented as

Emphasizes how something is shown or displayed, useful in contexts where presentation is key.

are defined as

Highlights the act of setting a precise meaning, applicable when clarity and precision are important.

are structured as

Focuses on the arrangement or organization of something, relevant when discussing systems or frameworks.

are rendered as

Implies a transformation into a specific form, suitable when discussing data or visual representations.

are cast as

Suggests assigning a particular role or interpretation, often used in narrative or strategic contexts.

are framed as

Indicates how something is positioned or presented to influence perception, useful in persuasive writing.

are modeled as

Focuses on creating a representation for analysis or simulation, common in scientific and engineering contexts.

are conceptualized as

Highlights the theoretical understanding or mental construction of something, suitable for philosophical or abstract discussions.

are characterized as

Emphasizes the key attributes or features that define something, useful for descriptive writing.

FAQs

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

Use "are formulated as" to indicate that something is deliberately expressed or created in a particular way. For example, "The research questions are formulated as testable hypotheses."

What's a less formal alternative to "are formulated as"?

Depending on the context, you could use alternatives like "are expressed as" or "are presented as" for a less formal tone.

Is it correct to say "is formulated as" instead of "are formulated as"?

No, use "is formulated as" for singular subjects and "are formulated as" for plural subjects. For instance, "The equation is formulated as..." versus "The equations are formulated as..."

What is the difference between "are formulated as" and "are defined as"?

"Are formulated as" implies a process of creation or expression, while "are defined as" suggests a setting of precise meaning or scope.