can be approximated by using

USAGE SUMMARY

The phrase "can be approximated by using" is correct and usable in written English.
It can be used when discussing methods or techniques for estimating or calculating values in various contexts, such as mathematics, science, or engineering. Example: "The value of pi can be approximated by using various mathematical formulas, such as the Leibniz formula for π."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

22 human-written examples

Through numerical simulation of the radiative heat transfer, polydisperse water droplets can be approximated by using the Sauter diameter, a technique that can be useful in several research fields, such as engineering and atmospheric science.

Journal of Quantitative Spectroscopy and Radiative Transfer

The PDF can be approximated by using square root B-spline expansions.

Journal of the Franklin Institute

Because the unknown nonlinearities can be approximated by using fuzzy logic systems, our proposed method is more flexible and applicable.

Journal of the Franklin Institute

In this paper it is shown that these factors can be approximated by using certain shapes and functions.

Journal of Sound and Vibration

Two analytical formulas are derived under the assumption that the exact membership functions can be approximated by using piecewise linear functions based on alpha level sets.

Computers & Industrial Engineering

The technique is based on the pinch-analysis method by using a grand-composite curve (GCC), which can be approximated by using a mathematical function.

Energy

Human-verified similar examples from authoritative sources

Similar Expressions

38 human-written examples

According to[20], capacity of LTE system can be approximated by Shannon capacity by using bandwidth loss factor εbw and SNR loss factor εSNR.

EURASIP Journal on Wireless Communications and Networking

Although more studies are needed for a clear understanding of the correlation between NMR and GNM, surprisingly, anharmonic procedures as such to populate the NMR conformers in distributed local wells can be approximated by GNM that uses simplified elastic potential.

Bioinformatics and Biology Insights

Each electropherogram can be approximated by a Gaussian kernel using the input data [ 21- 24].

Algorithms for Molecular Biology

Briefly, the procedure is as follows: Each electropherogram can be approximated by a Gaussian kernel using the input data (L, H, A).

Algorithms for Molecular Biology

Unfortunately, while the well-known GDT_ TS metric provides a crude approximation of GDT_ A, no algorithm currently exists that is capable of computing accurate estimates of GDT_ A. We prove that GDT_A is well defined and that it can be approximated by the Riemann sums, using available methods for computing accurate (near-optimal) GDT function values.

Algorithms for Molecular Biology

Expert writing Tips

Best practice

When using "can be approximated by using", ensure that the method or tool you are using for approximation is clearly defined to avoid ambiguity. For example, "The curve can be approximated by using a series of straight lines."

Common error

Avoid stating that something "can be approximated by using" a method without specifying the limitations or potential errors introduced by the approximation. Always acknowledge the degree of accuracy involved.

Linguistic Context

The phrase "can be approximated by using" functions as a passive construction to indicate that a value, quantity, or result is estimated or represented closely, rather than being exact. Ludwig AI confirms this usage through numerous scientific and academic examples.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "can be approximated by using" is a common and grammatically correct phrase used to describe the process of estimating a value or result through a specific method. Ludwig AI's analysis confirms its prevalence in scientific and academic writing. When using this phrase, ensure clarity in specifying the method employed and acknowledging any limitations of the approximation. Alternatives like "can be estimated through the use of" or "can be modeled with" can offer nuanced variations, depending on the context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

can be estimated through the use of

Focuses on estimation as the means of approximation, using "through the use of" for emphasis.

can be modeled with

Suggests creating a model to represent the approximation.

can be represented by employing

Highlights the representation aspect of approximation using "employing".

can be simulated utilizing

Emphasizes simulation as the approximation method, making use of "utilizing".

can be replicated via

Focuses on replication as an approximate method, using "via".

can be inferred from

Highlights the process of drawing conclusions based on available data.

can be derived with the aid of

Suggests a formal derivation process, emphasizing the assistance of a tool or method.

can be determined by means of

Focuses on determination as the purpose and the method used to reach that determination.

can be projected using

Focuses on forecasting or extending data points through the application of a method.

can be substituted with

Emphasizes the replacement aspect, where something is replaced by a close alternative.

FAQs

What does it mean when something "can be approximated by using" something else?

It means that the original thing is complex or difficult to work with directly, so we use something simpler or more manageable as a stand-in. This simpler thing, or approximation, is achieved by employing a specific method or tool.

How do I use "can be approximated by using" in a sentence?

Use "can be approximated by using" to indicate that a value, quantity, or result is not exact but close enough for a particular purpose. For example, "The area of the irregular shape can be approximated by using the grid method."

What are some alternatives to "can be approximated by using"?

Alternatives include "can be estimated through the use of", "can be modeled with", or "can be represented by employing", depending on the nuance you want to convey.

Is it better to say "can be approximated by using" or "can be estimated by using"?

While both are grammatically correct, "approximated" suggests a general estimation, while "estimated" implies a more formal or statistical valuation. The choice depends on the specific context and the level of precision required.