is well approximated

USAGE SUMMARY

The phrase "is well approximated" is correct and usable in written English.
It can be used in contexts where you want to indicate that a value or concept is closely represented or estimated by another value or concept. Example: "In this model, the actual temperature is well approximated by the predicted values."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The Max Cut problem though NP-hard is well approximated by a simple 0.5-approximation algorithm that randomly assigns vertex to one of the two components (Mitzenmacher and Upfal, 2005).

Bioinformatics

This result also holds with very good approximation for models with contact interactions, where the contact interaction matrix U a, b) is well approximated by its main eigenvector h(a).

BMC Evolutionary Biology

Such partial results have been enough to show that the number of prime numbers less than any number x is well approximated by x/ln x.

Encyclopedia Britannica

The coefficient a is well approximated by a cubic fit over the whole η-range.

International Journal of Heat and Mass Transfer

The probability of error is well approximated by the union bound, as shown in (10).

EURASIP Journal on Wireless Communications and Networking

The PSD is well approximated with only minor deviations for high frequencies.

EURASIP Journal on Advances in Signal Processing

At high pressure, the activity of water is well approximated by.

Geochemical Transactions

Then, the probability of error is well approximated by the union bound as (7).

EURASIP Journal on Wireless Communications and Networking

The noise distribution measured in [18] is well approximated by a S α S distribution [20].

EURASIP Journal on Wireless Communications and Networking

We assume that the domain Ω is well approximated by the computational domain (Omega_{h}).

Advances in Difference Equations

For example, the function is well approximated by at the point.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "is well approximated", ensure the context clearly indicates what is being approximated and what it is being approximated by. This enhances clarity and avoids ambiguity.

Common error

Avoid using "is well approximated" when the approximation is significantly different from the actual value. Use qualifiers like "roughly approximated" or "loosely approximated" to reflect the degree of accuracy more appropriately.

Linguistic Context

The phrase "is well approximated" functions as a descriptive predicate, indicating that something closely resembles or can be reasonably estimated by something else. As Ludwig AI confirms, this phrase is grammatically correct and widely used, particularly in scientific contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "is well approximated" is a grammatically sound and frequently used expression, predominantly within formal and scientific writing. Ludwig AI affirms its correctness. It serves to indicate a close resemblance or reasonable estimation between two entities, often simplifying complex concepts or providing practical substitutes. While highly versatile, it's important to be mindful of the context and avoid overstating the level of accuracy. Alternatives like "is closely estimated" can offer nuanced variations to suit specific needs, ensuring clear and precise communication. Understanding the implications, purpose and register will guide you to effective usage.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is closely estimated

Emphasizes the accuracy of the estimation, highlighting the nearness of the approximation.

is accurately represented

Focuses on the faithfulness of the representation, suggesting a high degree of precision.

is nearly equivalent

Indicates a strong degree of similarity, suggesting practical interchangeability.

is reasonably estimated

Highlights the reasonableness of the approximation, suggesting it's a fair estimation.

is fairly represented

Suggests that the representation is adequate and unbiased.

is roughly equivalent

Implies a general similarity but allows for some degree of imprecision.

is in good agreement with

Indicates that two values or functions align well with each other.

is comparable to

Emphasizes the similarity between two things in terms of specific characteristics.

is in the neighborhood of

Suggests an approximate value that is close but not exact.

approximates well

Reverses the structure emphasizing the approximation aspect instead of the subject.

FAQs

How can I use "is well approximated" in a sentence?

Use "is well approximated" to indicate that a value or concept is closely represented or estimated by another value or concept. For example: "In this model, the actual temperature "is well approximated" by the predicted values."

What can I say instead of "is well approximated"?

You can use alternatives like "is closely estimated", "is accurately represented", or "is nearly equivalent" depending on the context.

When is it appropriate to use "is well approximated"?

It is appropriate when you want to convey that one quantity or function is similar enough to another to be used as a reasonable substitute, without implying perfect equality. The level of 'well' depends on your audience and the purpose of the communication.

What's the difference between "is well approximated" and "is exactly equal to"?

"Is well approximated" implies that there is a close, but not perfect, match between two values or models. "Is exactly equal to" means the two values are identical without any deviation. Use "is well approximated" when there is a degree of acceptable error or simplification.