be approximated by using

USAGE SUMMARY

The sentence is correct and usable in written English.
You can use it when you are referring to a process or method that can be approximated or estimated. For example, "The cost of the project can be approximated by using a costing spreadsheet."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

24 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

36 human-written examples

Doublet-point method is used for the calculation of supersonic unsteady aerodynamic forces, and aerodynamic forces are approximated by using the minimum-state approximation.

Journal of Sound and Vibration

To this end, the objective function and the reliability constraints are approximated by using a hybrid form of linear, reciprocal and quadratic approximations.

Probabilistic Engineering Mechanics

Unknown variables are approximated by using appropriate shape functions.

Journal of Petroleum Exploration and Production Technology

In order to rationalize subsequent numerical calculations, the transfer functions are approximated by using truncated series.

Journal of Sound and Vibration

The uncertain nonlinear functions in the flight vehicle model are approximated by using radial basis function neural networks.

IFAC Proceedings Volumes

Expert writing Tips

Best practice

When using "be approximated by using", ensure that the method of approximation is clearly defined and appropriate for the context. This helps maintain clarity and credibility in your writing.

Common error

Avoid using "be approximated by using" without specifying the approximation method. Vague statements can undermine the accuracy and validity of your claims. Always provide specific details.

Linguistic Context

The phrase "be approximated by using" functions as a passive construction indicating that something is being estimated or represented closely through a particular method. This construction is commonly used to describe processes where an exact calculation is not feasible or necessary.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "be approximated by using" is a grammatically sound and frequently employed construction, particularly within scientific and technical domains. Ludwig AI confirms its correct usage for describing methods of estimation, as evidenced by numerous examples from academic journals and reputable sources. When employing this phrase, ensure that the approximation method is clearly specified to maintain the precision and credibility of your writing. Alternative phrases like "be estimated through" and "be modeled with" can offer stylistic variations while retaining the core meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

be estimated through

This phrase focuses on the process of estimation using a particular method.

be estimated via

Replaces "by using" with "via", keeping the focus on the means of estimation.

be estimated with

Uses "with" instead of "by using", slightly altering the construction.

be estimated by means of

Replaces "by using" with "by means of", adding a degree of formality.

be roughly calculated by

This phrase emphasizes the inexact nature of the calculation and highlights the method.

be predicted through

Highlights the use of method for prediction.

be modeled with

Highlights the use of model for approach.

be represented using

Focuses on using a tool or method for representation.

be simulated via

Uses "via" instead of "by using", keeping the focus on the means of simulation.

be determined empirically with

Emphasizes empirical determination using a method.

FAQs

What does "be approximated by using" mean?

It means that a value or result is estimated or closely represented through a specific method or technique, rather than being calculated exactly.

How can I rephrase "be approximated by using"?

You can use alternatives like "be estimated through", "be modeled with", or "be roughly calculated by" depending on the context.

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

Both are grammatically correct and often interchangeable. "Approximated" suggests a close representation, while "estimated" implies a reasoned guess. The best choice depends on the nuance you want to convey.

What is an example of how "be approximated by using" is used in a scientific context?

In scientific writing, you might say, "The curve of the data can "be approximated by using" a polynomial function."