are approximated as

USAGE SUMMARY

The phrase "are approximated as" is used in written English and is often used to indicate that an estimation or approximation is being made.
For example, "The number of fish in the lake are approximated as 10,000."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

45 human-written examples

The electric and magnetic fields are approximated as quasi-static.

International Journal of Solids and Structures

Blades on the disk are approximated as Euler Bernoulli beams.

Journal of Sound and Vibration

The two processes are approximated as independent of each other.

Journal of Wind Engineering and Industrial Aerodynamics

In this application, temperature and a chemical source term are approximated as functions of two independent parameters using optimal ANNs.

Stanford University

The molecules are approximated as spheres, with a radius that exhibits fractal scaling with molecular weight.

Polymer Degradation and Stability

In this model, the state variables are approximated as a linear sum of orthogonal polynomials.

Journal of Sound and Vibration

Human-verified similar examples from authoritative sources

Similar Expressions

13 human-written examples

Hence, the fraction would be approximated as:.

EURASIP Journal on Wireless Communications and Networking

For example, the fraction can be approximated as:.

EURASIP Journal on Wireless Communications and Networking

That is, the unnoticeably small spectrogram bins can be approximated as well as the dominant bins.

EURASIP Journal on Advances in Signal Processing

The shape of the final product is approximated as far as possible already during plant growth.

Environmental Sciences Europe

By the Stone Weierstrass theorem, every continuous function on can be approximated as closely as desired by a polynomial.

Wikipedia

Expert writing Tips

Best practice

When using "are approximated as", ensure that the level of approximation is suitable for the context. Clearly state any assumptions made during the approximation process to maintain transparency and accuracy.

Common error

Avoid presenting values that "are approximated as" exact figures. Instead, use qualifiers like 'approximately', 'about', or 'in the vicinity of' to indicate that the value is an estimation, not an absolute measurement.

Linguistic Context

The phrase "are approximated as" serves as a descriptor, indicating that certain elements or quantities are being treated as approximations or estimations. It's frequently employed to simplify complex scenarios or to work with incomplete data, as demonstrated by Ludwig examples.

Expression frequency: Common

Frequent in

Science

97%

Academia

3%

News & Media

0%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "are approximated as" functions as a descriptor, communicating that values or models are being presented as estimations rather than exact figures. It is most commonly used in formal and scientific contexts, like research papers and technical reports, where precise language is essential. As Ludwig AI validates, this phrase signals a simplification or estimation of potentially complex systems or incomplete data. When using this phrase, ensure that the level of approximation is appropriate and all assumptions made are clearly stated.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

are estimated as

Focuses on the process of arriving at an approximate numerical value or quantity.

are modeled as

Emphasizes the use of a model to represent something, often in a simplified or idealized way.

are represented as

Highlights the act of portraying or symbolizing something in a particular form.

are considered as

Indicates that something is being regarded or thought of in a specific way.

are treated as

Focuses on the manner in which something is handled or dealt with, suggesting a functional equivalence.

are viewed as

Stresses the perspective or viewpoint from which something is being observed or understood.

are likened to

Highlights the similarity or resemblance between two things.

are simplified to

Emphasizes the process of reducing complexity to make something more manageable.

are deemed as

Indicates a formal judgment or assessment of something.

are taken to be

Suggests an assumption or acceptance of something's identity or nature.

FAQs

How can I rephrase "are approximated as" to sound more formal?

In more formal contexts, you could use phrases like "are estimated as", "are modeled as", or "are represented as" to convey a similar meaning with a more sophisticated tone.

Is it always necessary to specify that values "are approximated as", or is it implied?

It's best practice to explicitly state when values "are approximated as", especially in technical or scientific writing, to ensure clarity and avoid misinterpretation.

What is the difference between "are estimated as" and "are approximated as"?

"Are estimated as" often refers to a statistical or mathematical estimation, while "are approximated as" suggests a more general simplification or modeling of something. The choice depends on the specific context.

In what fields is "are approximated as" most commonly used?

The phrase "are approximated as" is commonly used in fields like mathematics, physics, engineering, and computer science, where complex systems or values often need to be simplified for practical calculations or modeling.