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
be approximated through
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "be approximated through" is correct and usable in written English.
It can be used when discussing methods or processes that allow for an estimation or calculation of a value or concept. Example: "The results of the experiment can be approximated through statistical analysis."
✓ Grammatically correct
Science
Academia
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
17 human-written examples
Using these data, the force where withdrawal and tolerance are equally likely can be approximated through Chaplan's approximation (50%% paw withdrawal threshold) [ 17].
While algorithmic fairness may be approximated through reductions in subgroup error rates or other performance metrics, algorithmic justice necessitates a transformation in the development, deployment, oversight, and regulation of facial analysis technology.
In this context, the spatial and the temporal rainfall variability represents a significant issue, especially for basins in which the rainfall field cannot be approximated through the use of a single station.
Science
Therefore, the motion parameter of the immediate section can be approximated through Eq. (13).
A simplified model for the beam pattern G is the one illustrated in Figure 1 where θ = 0 is the radar search direction b; for instance, such a shape can be approximated through an N -element array [32].
The translational and rotational entropies are approximated by statistical mechanics equations of molecules in the gas phase [45, 47], while vibrational entropies can be approximated through normal modes analysis [48].
Human-verified similar examples from authoritative sources
Similar Expressions
43 human-written examples
The multiple dimension integral representation of the expectation is approximated through cubature formulae.
For this purpose the non integer derivative is approximated through Padé fractions.
Science
Steady state relation between the cost related variables and the operation variables are approximated through response surface models.
Science
Due to the individual-based design kin competition emerges per default rather than being approximated through an expected average level of relatedness.
Science
The non-linear effects of the Strouhal number on the dissipation rate of the bed are approximated through a logarithmic function.
Science
Expert writing Tips
Best practice
When using "be approximated through", ensure the method or tool used for approximation is clearly stated for clarity and precision.
Common error
Avoid implying exactness when using "be approximated through". The phrase indicates an estimation, not a precise calculation. Choose language that reflects the inherent uncertainty.
Source & Trust
85%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "be approximated through" functions as a passive construction, indicating that a subject's value or characteristic is estimated or represented by a specific method or process. Ludwig AI confirms its grammatical correctness and usability.
Frequent in
Science
90%
Academia
10%
News & Media
0%
Less common in
Formal & Business
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "be approximated through" is a grammatically correct and commonly used expression, particularly in scientific and academic writing. Ludwig AI analysis indicates its primary function is to describe the estimation of a value or characteristic using a specific method, often when a direct calculation is not feasible. The phrase carries a formal register. When using this phrase, clarity in specifying the approximation method is essential. While there are several alternatives, such as "be estimated via", the original phrase maintains a specific nuance related to the process of approximation.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
be approximated by
More concise version with identical meaning.
be estimated via
A direct and concise alternative emphasizing the method of estimation.
be estimated by means of
Uses a more formal tone and emphasizes the method used for estimation.
be roughly calculated via
Implies a less precise calculation and specifies the tool or method.
be modeled using
Focuses on the use of a model for approximation.
be assessed through
Focuses on the evaluation or judgment aspect of the approximation process.
be simulated by
Highlights the use of simulation techniques for approximation.
be represented by
Highlights that something complex is made simpler using something else.
be inferred from
Emphasizes deriving the approximation from available data.
be predicted with
Implies forecasting or projecting a value using a specific technique.
FAQs
How can I use "be approximated through" in a sentence?
Use "be approximated through" to describe how a value or result is estimated, often when a direct calculation is difficult or impossible. For example, "The patient's kidney function can "be approximated through" creatinine levels".
What are some alternatives to "be approximated through"?
You can use alternatives like "be estimated via", "be roughly calculated via", or "be modeled using" depending on the specific context.
Is "be approximated through" formal or informal?
"Be approximated through" is generally considered formal and suitable for academic, scientific, and technical writing. In more casual contexts, simpler alternatives may be preferred.
What does it mean for something to "be approximated through" a method?
It means that the value or characteristic is estimated or represented using that method because a direct or precise measurement is not feasible. The method provides a close, but not necessarily exact, representation.
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
85%
Authority and reliability
4.5/5
Expert rating
Real-world application tested