Used and loved by millions
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
approximates closely
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "approximates closely" is correct and usable in written English.
It can be used when describing something that is very near to or similar in value, quality, or characteristics to something else. Example: "The new model approximates closely to the previous version in terms of performance and features."
✓ Grammatically correct
Science
News & Media
Encyclopedias
Alternative expressions(14)
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
5 human-written examples
Note that the value (Delta t) should be appropriately small, so that the solution of the ODE derived via the finite difference scheme (Eqs. 5, 6), approximates closely the precise solution of the ODE.
This value of 35.54 MW approximates closely with the figure of 36.265 MW deduced by comparison with field data in Mauritius and proves the efficacy of the proper use of actual data.
In the fundamental idiom, which approximates closely the structure of propositions, "A is the father of B" should be translated as "The whole which contains A and B has the following property: the first element is the father of the second".
Science
With the dependent variable in natural logarithms, the coefficient for a discrete variable, once multiplied by 100, approximates closely to a percentage difference as defined by (difference/mean) × 100 (100.
Though BAL cultures are more representative of lower airway bacteriology, we have shown in a prior study that sputum obtained with the protocol used in our study clinic approximates closely to induced sputum, and has the molecular markers of lower airway secretions [ 9].
Science
Human-verified similar examples from authoritative sources
Similar Expressions
54 human-written examples
From these results, simple formulae are proposed that allow the radiation ratios to be approximated closely.
This results in high-performance iterative receivers that address decoding globally by iterating between tasks, and that approximate closely the optimal but intractable decoders.
Overall, the BTVs delineated using the FCM-SW technique were the most accurate and approximated closely the 3-D BTVs defined in the corresponding surgical specimens.
In Fig. 1 the numbers of favorable outcomes from the normothermia arms of the two trials can be seen to approximate closely those of other studies over time.
Science
The BTVs delineated using the FCM-SW segmentation technique were seemingly the most accurate and approximated closely the 3-D BTVs defined using the surgical specimens.
The presented kappa values were calculated from the definition in Equation 3, but can also be approximated closely by normalizing the corresponding CLQ using Equation 6.
Expert writing Tips
Best practice
When using "approximates closely", ensure that you're highlighting a near but not exact similarity. This distinction is crucial for maintaining accuracy in your writing.
Common error
Avoid using "approximates closely" when describing something that is exactly equal. The phrase is best suited for situations where there's a minor difference or deviation.
Source & Trust
83%
Authority and reliability
4.2/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "approximates closely" functions as a descriptive modifier, typically used to qualify a subject by indicating a high degree of similarity or nearness to something else. Ludwig AI shows it often modifies models, measurements or descriptions, emphasizing a near but not exact correspondence.
Frequent in
Science
80%
News & Media
10%
Encyclopedias
10%
Less common in
Formal & Business
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "approximates closely" is used to describe a near but not exact similarity, often found in scientific, academic, and news contexts. Ludwig AI indicates that it is grammatically correct and useful for emphasizing a significant degree of likeness. While alternatives like "closely resembles" and "is nearly equivalent to" exist, using "approximates closely" adds a specific nuance of high similarity without implying exact equality. Remember to use it when highlighting proximity rather than absolute identity.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
closely resembles
Reverses the order of words and uses a synonym for "approximates".
is a near approximation of
Uses a noun form of "approximate" and changes the sentence structure.
is almost identical to
Emphasizes the similarity using "identical" instead of "approximate".
bears a strong resemblance to
Employs a more formal tone and replaces "approximates" with "bears a resemblance".
is roughly equivalent to
Indicates a similar value or quantity, using "equivalent" instead of focusing on the approximation.
aligns very well with
Suggests a close match or alignment, shifting the focus from approximation to agreement.
is in close agreement with
Highlights the agreement between two things, rather than the act of approximating.
mirrors accurately
Uses a different metaphor to convey similarity, focusing on accurate reflection.
corresponds nearly exactly to
Emphasizes correspondence and near exactness, replacing "approximates" with "corresponds".
is virtually the same as
Focuses on the sameness, using "virtually" to indicate a very slight difference.
FAQs
What does "approximates closely" mean?
The phrase "approximates closely" means that something is very similar or nearly equal to something else, but not exactly the same. It suggests a high degree of similarity with minor differences.
How can I use "approximates closely" in a sentence?
You can use "approximates closely" to describe how one value, measurement, or description relates to another. For example, "The model's prediction "aligns closely" with the actual results."
What are some alternatives to "approximates closely"?
Some alternatives to "approximates closely" include "closely resembles", "is very similar to", and "is nearly equivalent to". The best choice depends on the specific context.
Is it redundant to say "approximates closely"? Can I just say "approximates"?
While "approximates" alone implies similarity, adding "closely" emphasizes the degree of nearness. Saying "approximates closely" highlights that the similarity is significant and the difference is small, but without implying it is the "virtually the same as". Therefore, it is not always redundant.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.2/5
Expert rating
Real-world application tested