be approximated with

USAGE SUMMARY

The phrase "be approximated with" is grammatically correct and can be used in written English.
It is typically used when expressing a rough estimation or an imprecise measurement. Example: "The value of pi can be approximated with 3.14, but it is actually an irrational number."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

In parallel to the univariate setting, the distribution of λ ~ ∗ 1 can be approximated with a Satterthwaite approximation: λ ~ ∗ 1 ν ∗ / λ ∗ 1 ∼ χ 2 ν ∗ with ν ∗ = b ν est · ∊ ^ d / ∊ ~ n.

BMC Medical Research Methodology

It is developed with an heuristic belief that if both the value function can be approximated with sufficient accuracy and optimal policies with respect to the approximated value function can be learnt, then the true optimal policy can be approximated with sufficient accuracy.

Journal of Modern Power Systems and Clean Energy

The writers, Billy Crystal and Peter Tolan, may not realize that the screenplay Ben Hecht wrote for "Twentieth Century" (1934) and the one Morrie Ryskind did for "My Man Godfrey" (1936) emerged from an entire way of life; the same exhilarating atmosphere can't be approximated with gags and a few funny lines.

The New Yorker

However, DalkS can be approximated with a constant factor.

Data Science and Engineering

Under this assumption, (10) can be approximated with (11).

EURASIP Journal on Wireless Communications and Networking

If it is curved, it can be approximated with triangles, but with an important difference.

SEP

In the context of neutral theory, the change could be approximated with a diffusion process.

Protein & Cell

When N is large enough, the binomial random variables can be approximated with a Gaussian distribution.

EURASIP Journal on Information Security

The complimentary CDF can be approximated with the trapezoidal numerical integration technique.

EURASIP Journal on Advances in Signal Processing

Such periodical variation of the peak could be approximated with a sine curve.

EURASIP Journal on Wireless Communications and Networking

The non-linear behavior of the joint cannot be approximated with accuracy by a linear model.

Applied Adhesion Science

Expert writing Tips

Best practice

When using "be approximated with", clearly state the degree of approximation or the method used for approximation to avoid ambiguity.

Common error

Avoid using "be approximated with" when a precise value or measurement is available. Overstating the accuracy of an approximation can mislead the audience.

Linguistic Context

The phrase "be approximated with" functions as a passive construction, indicating that a subject's value or characteristic is being estimated or represented using another value or method. As Ludwig AI indicates, this usage is grammatically correct. The phrase indicates an imprecise or inexact relationship.

Expression frequency: Very common

Frequent in

Science

90%

Formal & Business

5%

News & Media

3%

Less common in

Encyclopedias

1%

Wiki

0.5%

Reference

0.5%

Ludwig's WRAP-UP

In summary, "be approximated with" is a grammatically correct and very common phrase, primarily used in scientific and technical writing to indicate that a value or quantity is being estimated or represented imprecisely. As Ludwig AI confirms, this phrase is well-suited for contexts where exactness is not crucial, and simplification is desired. When using this phrase, it's best to specify the degree of approximation and to avoid overstating accuracy. Alternative phrases include "be estimated by" and "be roughly equivalent to", depending on the specific nuance you want to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

be estimated by

This alternative focuses on the act of estimating, emphasizing the process of arriving at an approximate value.

be roughly equivalent to

This suggests a looser correspondence, where the two things are not precisely the same but serve a similar purpose or have a similar effect.

be represented by

This focuses on using something as a stand-in or model, without necessarily implying close numerical similarity.

be modeled using

This suggests creating a simplified version of something to understand or predict its behavior, not necessarily an accurate substitute.

be considered as

This alternative emphasizes the perception or classification of something rather than a precise calculation.

be simulated by

This phrase highlights the use of a simulation to mimic the behavior of something, implying a degree of abstraction.

be replaced with

Focuses on substitution, where the replacement offers a practical approximation.

be likened to

This suggests a comparison based on similar qualities, rather than a precise equivalence.

be loosely based on

Highlights the source of inspiration, emphasizing that it's not a faithful copy.

be vaguely similar to

Emphasizes the lack of precision in the comparison.

FAQs

How can I use "be approximated with" in a sentence?

You can use "be approximated with" to indicate that a value or quantity is estimated or represented imprecisely. For example, "The area of the circle can "be approximated with" the formula πr²."

What are some alternatives to "be approximated with"?

Depending on the context, you can use alternatives like "be estimated by", "be roughly equivalent to", or "be represented by".

What does it mean when something "be approximated with" something else?

It means that the first thing can be represented or estimated by the second thing, although not perfectly or exactly. The representation is close enough for a particular purpose.

When is it appropriate to use "be approximated with"?

It's appropriate when dealing with complex calculations, estimations, or when precision is not essential. It is commonly seen in science and engineering when models "be modeled using" other parameters to reduce calculation overhead.