approximated by

USAGE SUMMARY

"approximated by" is correct and usable in written English.
You can use it when you want to describe a general approximation of something. For example, "The area of the shape was approximated by a circle with a radius of 5 cm."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Those benefits could be approximated by any vehicle that used one motor for each wheel.

The New York Times - Tech

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

The New York Times

But the roughness of the solutions means they are not well approximated by polynomials.

The Guardian

This is instead approximated by peer support such as online discussion forums".

The Guardian

Take for instance a popular video game character whose shape cannot be easily approximated by someone in a rubber suit.

The New York Times - Tech

can be approximated by (6).

EURASIP Journal on Wireless Communications and Networking

Then (3) can be approximated by (6).

EURASIP Journal on Advances in Signal Processing

The derivatives were approximated by numerical differentiation.

Journal of Cheminformatics

And can be approximated by (A9).

EURASIP Journal on Wireless Communications and Networking

Release profiles were approximated by square root of time kinetics.

International Journal of Pharmaceutics

The nonminimum-phase systems are approximated by minimum-phase systems.

Systems & Control Letters

Expert writing Tips

Best practice

When using "approximated by", ensure the context clearly indicates the degree of precision involved. Is it a rough estimate or a close approximation?

Common error

Avoid using "approximated by" when the result is significantly different from the actual value. Choose a more appropriate term like "estimated" or "roughly equivalent" to reflect the uncertainty.

Linguistic Context

The phrase "approximated by" functions as a passive construction, indicating that a subject is being estimated or represented by something else. Ludwig AI confirms its correct usage. Examples show it's used to describe mathematical estimations, modeling, or representation in various fields.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Formal & Business

5%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "approximated by" is a versatile phrase primarily used to indicate an estimation or representation, often in scientific and technical contexts. Ludwig confirms its grammatical correctness and common usage. When using "approximated by", prioritize precision and context to ensure clarity and avoid overstating the accuracy of the approximation. While it is most often found in formal and scientific settings, its use in news and media demonstrates its broader applicability. Understanding the subtle differences between "approximated by" and similar phrases like ""estimated by"" can further refine your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

estimated by

This alternative focuses on the act of estimating, implying a less precise calculation.

represented by

This suggests that something is symbolized or depicted by something else, not necessarily numerically close.

modeled by

This implies a representation using a model, often mathematical or computational.

simulated by

Focuses on creating a simulation that mimics the original, emphasizing process over result.

mirrored by

Implies a reflection or close resemblance, highlighting the similarity in structure or behavior.

equaled by

This suggests a direct equivalence, though it might be used loosely in an approximation context.

substituted with

This suggests replacement, where the substitute is used to approximate the original's function or value.

compared to

Suggests a comparison where one element is being assessed in relation to another, implying approximate similarities.

taken as

Implies an assumption or acceptance of something to stand in for another, often for practical reasons.

characterized by

This suggests that something is described or defined by certain features, providing an approximation through key attributes.

FAQs

How can I use "approximated by" in a sentence?

You can use "approximated by" to indicate that a value or result is an estimate or close to the actual value. For instance, "The solution was "approximated by" using numerical methods".

What are some alternatives to saying "approximated by"?

Alternatives include "estimated by", "represented by", or "modeled by", depending on the context.

Is it correct to say "the result is approximated to" instead of "approximated by"?

While "approximated to" might be understood, ""approximated by"" is the more standard and grammatically sound choice.

What's the difference between "approximated by" and "estimated by"?

"Approximated by" implies a degree of calculation or method, while ""estimated by"" suggests a more intuitive or less precise assessment.