be well approximated with

USAGE SUMMARY

"be well approximated with" is correct and usable in written English.
You can use it when referring to an approximation of something. For example, "The value of x can be well approximated with a cubic equation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

The four plotted points can be well approximated with a parabolic curve.

Nanoscale Research Letters

Despite language and cultural differences the distributions are quite similar and can be well approximated with lognormal Partial Distribution Function.

EPJ Data Science

The behavior of long series is found to display both bending and extensional type of behaviors, which can be well approximated with an appropriate equivalent straight bender model.

Journal of Sound and Vibration

Molecular ρ means mathematically that it can be well approximated with linear combination of GTO or STO functions centered on nuclei.

Journal of Theoretical and Applied Physics

Because the obtained peaks can be well approximated with a Gaussian distribution, the corrected FWHM obeys the formula: {alpha}^2={left(frac{0.9lambda }{D cos kern.1em theta}right)}^2+{left(4frac{vard}{d}tgthetagtheta right)}^2, (1).

Nanoscale Research Letters

Therefore, even if the cap layer is located at a great depth and more modes are considered, the FW H/V of target medium with large impedance ratio cannot be well approximated with SW H/V of cap-layered medium.

Earth, Planets and Space

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

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

EURASIP Journal on Advances in Signal Processing

The experimental points are well approximated with a linear dependence having the largest slope for the <100 > direction.

Nanoscale Research Letters

Examples of ellipsoid positions and orientations that are well approximated with measuring the minimum color component of the respective centroid are the clusters with dark ellipses.

EURASIP Journal on Image and Video Processing

Yet, these theoretical results show that regression with a dichotomous y-variable may produce good class probability estimates if (Eleft( {1 |{mathbf{x}}_{new} } right)) is well approximated with the data at hand.

Journal of Cheminformatics

After taking base 10 logarithms the plots were well approximated with straight lines.

British Journal of Cancer

Expert writing Tips

Best practice

When using "be well approximated with", ensure that the approximation is valid within the specific context and that any limitations are clearly stated. For example, if a curve is approximated by a straight line, mention the range where this approximation holds true.

Common error

Avoid using "be well approximated with" when the approximation introduces significant errors or is only valid under very restrictive conditions. Instead, acknowledge the limitations and potential inaccuracies of the approximation.

Linguistic Context

The phrase "be well approximated with" functions as a passive construction indicating that a certain entity or value can be accurately represented or modeled using another entity, method, or value. Ludwig AI indicates this phrase is grammatically correct and suitable for use in written English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "be well approximated with" serves as a tool to express that a model, value, or phenomenon can be acceptably represented by another, simpler entity. Ludwig AI identifies the phrase as grammatically correct and suitable for use in written English.

Primarily found in scientific and technical contexts, the phrase conveys that a simplification or abstraction offers a reasonably accurate representation of a more complex reality. While "be well approximated with" is useful in simplifying complex concepts, you should always ensure the approximation is valid and doesn't introduce significant errors. If you need alternatives, consider "be accurately modeled by", "be closely estimated by", or "be reasonably represented by", depending on the nuances you intend to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

be closely estimated by

Changes the verb from 'approximated' to 'estimated' and adjusts the adverb for emphasis.

be accurately modeled by

Replaces 'approximated' with 'modeled' to emphasize a mathematical representation.

be reasonably represented by

Uses 'represented' instead of 'approximated', softening the level of precision.

be effectively simulated by

Emphasizes the use of simulation as a method of approximation.

be fairly replicated with

Shifts the focus to replication, suggesting a copy or reproduction.

be suitably mirrored in

Uses 'mirrored' to indicate a reflection or correspondence.

be adequately depicted by

Focuses on depiction, implying a visual or descriptive representation.

be roughly equated to

Indicates a rough equivalence, sacrificing precision for simplicity.

be loosely correlated with

Suggests a weak or imprecise relationship between variables.

be vaguely associated with

Implies a general connection without specific details or accuracy.

FAQs

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

This phrase is typically used to describe mathematical models or scientific data. For example, "The experimental data can "be well approximated with" a quadratic equation."

What's a good alternative to "be well approximated with"?

Depending on the context, you could use phrases like "be accurately modeled by", "be closely estimated by", or "be reasonably represented by".

Is it always appropriate to say something "can be well approximated with" something else?

No, it's important to ensure the approximation is valid and doesn't introduce significant errors. If the approximation is rough or only valid under specific conditions, it's better to qualify the statement.

What does it mean for something to "be well approximated with" a simpler model?

It means that the simpler model provides a reasonably accurate representation of the more complex phenomenon or data, simplifying analysis and prediction without losing essential information.