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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
approximated to be
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "approximated to be" is correct and usable in written English.
You can use this phrase when you want to indicate an estimation of a value or quantity. For example, "The population of the city was approximated to be 350,000 people."
✓ Grammatically correct
Science
Alternative expressions(20)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
Hence, to a crude approximation, the QCL system can be approximated to be ∼20-fold faster than a hypothetical LA FT-IR system.
Science
$R_E$ is the Earth's radius approximated to be a constant 6371000 meters.
Academia
The last step follows from the energy formula, (1/2)mv2 = (3/2 kT, where (v2)1/2 is approximated to be v, even though v2 and (v̄ 2 actually differ by a numerical factor near unity (namely, 3π/8).
Encyclopedias
The heat load is then assumed to be a point heat source and the velocity and temperature profiles are approximated to be Gaussian distributed.
Science
It is well known that in the EKF, the prior and posterior distributions are approximated to be a multivariate normal distribution.
Beyond these levels (approximated to be 450 ppm carbon dioxide), the planet will experience unprecedented changes in the global climate and a significant increase in the severity of natural disasters (Dresner, 2008).
As long as the grain boundary was anchored to the surface triple junction, the grain boundary was approximated to be flat at the limit of Mgb ≫ Ms.
Science
Thus, Q g can be approximated to be 0.
In Kenya, the camel population is approximated to be 3.1 million (Corman et al. 2014).
The ratio of soft to hard formation is approximated to be 1 3 (Kongola 2004).
Science
To lower the equalization complexity, the channel matrices are approximated to be banded in both domains.
Expert writing Tips
Best practice
When using "approximated to be", ensure the context clearly indicates the basis for the approximation, such as a formula, measurement, or model.
Common error
Avoid presenting an approximation as an exact value. Always acknowledge the inherent uncertainty when using "approximated to be".
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "approximated to be" functions as a passive verb phrase, indicating that a value or quantity has been estimated or closely calculated. It is used to convey that the stated value is not exact but is a reasonable estimation. Ludwig confirms the usability of the phrase.
Frequent in
Science
98%
Academia
1%
Encyclopedias
1%
Less common in
News & Media
0%
Formal & Business
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, "approximated to be" is a grammatically correct passive verb phrase used to indicate that a value or quantity is an estimation rather than an exact measurement. Ludwig confirms the phrase's validity. It is most commonly found in scientific and academic contexts, where precise language is important, but absolute certainty isn't always possible. While alternatives like "estimated to be" exist, "approximated to be" provides a clear and professional way to communicate estimations based on available data or modeling.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
estimated to be
This alternative uses "estimated" instead of "approximated", indicating a less precise calculation.
assumed to be
This phrase implies a supposition made without concrete proof.
considered to be
This suggests a more subjective evaluation or judgment.
taken to be
This option indicates a generally accepted or understood view.
regarded as
Similar to "considered to be", but perhaps with a slightly more formal tone.
thought to be
Implies a belief or opinion, often without firm evidence.
deemed to be
This is a more formal alternative to "considered to be".
believed to be
This indicates that the statement is based on faith or conviction, not necessarily proof.
reckoned to be
This option indicates an informal assessment or rough calculation.
in the vicinity of
This expresses an approximate quantity or position.
FAQs
How can I use "approximated to be" in a sentence?
The phrase "approximated to be" is used to indicate an estimated value or quantity. For example, "The distance was approximated to be 100 miles."
What are some alternatives to "approximated to be"?
You can use alternatives such as "estimated to be", "assumed to be", or "considered to be" depending on the specific context.
Is it better to say "approximated to be" or "approximately"?
"Approximated to be" is a phrase used to describe something that has been estimated. "Approximately" is an adverb that modifies a verb, adjective, or another adverb. For instance: "The value was approximated to be 50". Alternatively, "The value is approximately 50".
What does it mean when something is "approximated to be" something else?
When something is "approximated to be" another thing, it means its value, quantity, or characteristic has been estimated or closely resembled, often due to incomplete data or the need for simplification.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested