are formulated using

USAGE SUMMARY

The phrase "are formulated using" is correct and usable in written English.
You can use it when describing how something is created or developed, particularly in a technical or academic context. Example: "The solutions to the problems are formulated using advanced mathematical models."

✓ Grammatically correct

Science

Encyclopedias

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The equations of motion are formulated using a coupled piezoelectric formulation solving for strain and electric charge.

Journal of Sound and Vibration

Limit states are formulated using an incremental load formulation in differential form considering both random strengths and stiffnesses.

Structural Safety

The governing equations of a partially treated multi-layered MR beam are formulated using finite element method and Ritz formulation.

Journal of Sound and Vibration

Rapid-drying lacquers are formulated using dammar in combination with nitrocellulose.

Encyclopedia Britannica

These equations are formulated using the least action principle.

SEP

The equations of motion are formulated using Hamilton's principle.

International Journal of Solids and Structures

The design requirements are formulated using several integral criteria.

IFAC Proceedings Volumes

The crack terms are formulated using Line Spring Model.

Journal of Sound and Vibration

Our results are formulated using some Leray-Schauder-type boundary conditions.

Fixed Point Theory and Applications

The equations of motion of the smart plate are formulated using Hamilton's principle.

Composite Structures

Sufficient conditions of global synchronization are formulated using a poly-quadratic stability concept.

Mathematics and Computers in Simulation

Expert writing Tips

Best practice

When using "are formulated using", ensure that the 'using' part clearly specifies the method, materials, or principles involved in the formulation. This provides clarity and avoids vagueness.

Common error

Avoid using "are formulated using" without specifying what is being used. For instance, instead of saying 'The solutions are formulated using methods,' specify the methods: 'The solutions "are formulated using" advanced mathematical models'.

Linguistic Context

The phrase "are formulated using" functions as a passive construction indicating the method or components employed in creating or developing something. As Ludwig AI confirms, it's a standard and usable phrase in English. Examples in Ludwig show this usage across various scientific and technical contexts.

Expression frequency: Very common

Frequent in

Science

85%

Encyclopedias

5%

Formal & Business

5%

Less common in

News & Media

1%

Reference

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, the phrase "are formulated using" is a grammatically correct and very common expression primarily used in formal and scientific contexts. As Ludwig AI indicates, it serves to describe the methods, materials, or principles involved in the creation or development of something. While highly suitable for academic and technical writing, it may be less appropriate for informal communication. When employing this phrase, ensure clarity by specifying the exact elements being utilized. Alternative phrases such as "are created with" or "are developed through" can offer nuanced variations in meaning, catering to different contexts. By following these guidelines, writers can effectively and accurately use "are formulated using" in their work.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

are created with

Replaces "formulated" with "created", focusing on the act of making or producing something using specific materials or processes.

are developed through

Emphasizes the process by which something is advanced or elaborated, rather than just its composition.

are constructed from

Highlights the building or assembly of something from various parts or elements.

are composed of

Focuses on the constituent elements that make up a whole, implying a structure or arrangement.

are designed with

Emphasizes the planning and intention behind the use of particular elements or methods.

are based on

Indicates that something relies on a foundation of specific principles, data, or methods.

are derived from

Suggests that something is obtained or extracted from a source or method.

are built upon

Indicates that something is developed incrementally, adding to an existing foundation.

are manufactured using

Specifically refers to the industrial production of something, often involving machinery and processes.

are prepared with

Implies that something is made ready or brought about through a specific set of actions or ingredients.

FAQs

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

Use "are formulated using" to describe how something is created or developed, specifying the methods, ingredients, or principles involved. For example: 'The equations of motion "are formulated using" a coupled piezoelectric formulation'.

What are some alternatives to "are formulated using"?

Alternatives include "are created with", "are developed through", or "are composed of", depending on the specific context and the aspect you want to emphasize.

Is "are formulated using" formal or informal?

"Are formulated using" tends to be more formal and is commonly used in scientific, technical, and academic writing. For more casual contexts, phrases like "are made with" or "are created from" might be more appropriate.

What's the difference between "are formulated using" and "are based on"?

"Are formulated using" focuses on the specific methods or components used in creating something, while "are based on" emphasizes the foundational principles or data that something relies upon.