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Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

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is approximated by

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "is approximated by" is grammatically correct and can be used in written English.
It is typically used to indicate that a value or concept is not exact, but rather estimated or close to a specific number or idea. Example: The population of the city is approximately 100,000 people, but this number is only an approximation and may not be exact. Another example: The area of the circle is often approximated by using the formula A = πr^2, where π is approximately equal to 3.14.

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

(The smaller ratio, known as Academy format, is approximated by most television sets.

News & Media

The New York Times

But it also contrasts old and new technologies: white noise is approximated by antique instruments made of wood, horsehair and catgut.

The nonsmooth function is approximated by a smooth operator.

Here the clothoid is approximated by an arc spline.

In the LM approach, the Hessian matrix is approximated by.

Second, the discrete network is approximated by a continuum.

where the derivative operation is approximated by the symmetric difference.

At this point, the interference is approximated by Gaussian noise.

This area is approximated by ( n_{t} Delta d_{t} ).

The breakage probability is approximated by Weibull distribution function.

This summation is approximated by Quasi-Monte Carlo methods.

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Expert writing Tips

Best practice

When using "is approximated by", specify the method or basis for the approximation to provide context and justification.

Common error

Avoid implying exactness when using "is approximated by". The phrase inherently suggests a degree of inexactness, so don't contradict this with language that suggests high precision.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

84%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "is approximated by" functions as a passive verb phrase, indicating that a subject is being estimated or represented by something else. Ludwig AI confirms its correct usage.

Expression frequency: Very common

Frequent in

Science

83%

News & Media

9%

Wiki

5%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "is approximated by" is a common and grammatically correct passive verb phrase used to indicate that something is being estimated or represented by something else, rather than being exactly equal. Ludwig AI confirms its validity. It's particularly prevalent in formal and scientific writing, where complex phenomena are often simplified for clarity or calculation. When using this phrase, it's helpful to specify the basis for the approximation to provide context. Some alternatives include "is estimated by", "is represented by", and "is modeled by". Be careful not to overstate precision when using this phrase, as it inherently implies a degree of inexactness.

FAQs

What does "is approximated by" mean?

The phrase "is approximated by" means that a value or concept is not exact, but rather estimated or closely represented by another value or concept. It suggests a degree of inexactness or simplification.

How do I use "is approximated by" in a sentence?

Use "is approximated by" to indicate that a value or concept is an estimation or close representation, not necessarily exact. For example, "The curve "is approximated by" a straight line in this region."

What are some alternatives to "is approximated by"?

You can use alternatives like "is estimated by", "is represented by", or "is modeled by" depending on the context.

Is it correct to say "is approximately by"?

No, the correct phrasing is ""is approximated by"". The word "approximately" is an adverb and doesn't fit grammatically in this passive construction.

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Most frequent sentences: