apply an approximation

USAGE SUMMARY

The phrase "apply an approximation" is correct and usable in written English.
You can use it when discussing the process of using an estimated value or method in calculations or analyses. Example: "In order to simplify the calculations, we will apply an approximation to the data set."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Therefore, we firstly apply an approximation approach (AA) to turn the original infinite-dimensional optimization problem into an approximating finite-dimensional one, then design a hybrid algorithm which combines neural network (NN) and particle swarm optimization (PSO) to solve the approximating model.

Physics Procedia

To avoid this difficulty, we apply an approximation approach (AA) to the proposed two-stage fuzzy MPP model, and turn it into an approximating finite-dimensional optimization one.

Computers & Industrial Engineering

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

At high SNRs, we can apply a approximation, so (d_{mathrm {SR_{1}}}^{m}) can be neglected.

EURASIP Journal on Wireless Communications and Networking

Thus IDBA-Tran applies an approximation by clustering the k-mers based on their multiplicities (the distance between two k-mers equals their difference in multiplicities) using K-means clustering method.

Bioinformatics

On each sub-domain (Omega_{k}), we apply a first approximation of u and then adjust to satisfy the condition on the interfaces.

Boundary Value Problems

We apply a simple approximation in the Hartree-Fock level and in the Gaussian program, and in order to calculate the radius of cavity which forms the hypothetical surface of the molecule [30, 31].

Journal of Nanostructure in Chemistry

Resolving the recurrences: Now, it is time for our final trick: instead of computing the scores using recurrence (6 8), we apply a successive approximation procedure similar to Dijkstra's Algorithm for shortest paths (Sniedovich, 2006).

Bioinformatics

Therefore, we can consider hyperbolic metamaterials as homogeneous media and apply an effective medium approximation.

Nano Convergence

Design optimization is performed using a multiobjective genetic algorithm while the computational cost due to CFD analysis is reduced significantly by applying an online approximation technique.

Applied Thermal Engineering

Therefore, the rigorous model containing (partial) integro-differential equations is first reduced by applying an integral approximation technique to a model of moments that consists of only a few ordinary differential equations.

IFAC Proceedings Volumes

These tools ease the interpretation of model behavior by providing diagnostic visualizations of transition matrices, and allow substituting dense transition matrices with a sparse counterpart by applying an iterative approximation algorithm that is independent of model symmetry.

Algorithms for Molecular Biology

Expert writing Tips

Best practice

When you "apply an approximation", clearly state the reasons for doing so. For example, mention if it simplifies calculations, reduces computational cost, or works as a temporary substitute for unavailable data.

Common error

Avoid presenting results obtained by "apply an approximation" as precise or definitive. Always acknowledge the inherent limitations of the approximation and its potential impact on accuracy.

Linguistic Context

The phrase "apply an approximation" functions as a verb phrase that indicates the action of using an estimation or simplification in a calculation or analysis. It describes a process of using an approach that is not exact, but close enough for a particular purpose. According to Ludwig, the phrase is usable 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

In summary, "apply an approximation" is a grammatically sound phrase used to describe the action of using an estimate or simplification in calculations or analysis. Ludwig AI confirms its usability in written English. While not exceedingly common, it's prevalent in scientific and technical writing, signifying a balance between precision and practicality. When using this phrase, transparency about the approximation's limitations is crucial. Related phrases like "employ an estimation" or "utilize a simplified method" offer alternative ways to convey this concept. The key is to ensure that the use of an approximation is justified and doesn't mislead the reader about the accuracy of the results.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

employ an estimation

Replaces "approximation" with "estimation", emphasizing the act of making a rough calculation.

use an estimated value

Focuses on the use of a pre-calculated estimated value rather than the process of approximating.

utilize a simplified method

Highlights the use of a method that has been made less complex for ease of use.

adopt an approximate solution

Emphasizes the acceptance and implementation of a solution that isn't exact.

implement an estimation technique

Focuses on the practical application of a technique designed for estimation.

make a rough calculation

Describes the process of performing a calculation that is not precise or detailed.

take an approximate measure

Focuses on taking a measurement that is not exact but close enough for the intended purpose.

use a shortcut method

Highlights the use of a method that is faster and less detailed than the standard approach.

invoke an approximate formula

Emphasizes the use of a formula that provides an approximate result.

go with an estimated figure

Suggests choosing to proceed with a figure that is an estimate rather than an exact value.

FAQs

How can I use "apply an approximation" in a sentence?

You can use "apply an approximation" when you want to convey that you are using an estimation or simplification in a calculation or analysis. For example: "In order to simplify the calculations, we will "apply an approximation" to the data set."

What are some alternatives to "apply an approximation"?

You can use alternatives such as "employ an estimation", "utilize a simplified method", or "adopt an approximate solution" depending on the context.

When is it appropriate to "apply an approximation"?

It is appropriate to "apply an approximation" when exact data is unavailable, when simplifying complex calculations, or when a quick estimate is sufficient for the task at hand. Always be mindful of the trade-offs between simplicity and accuracy.

What should I consider when choosing whether to "apply an approximation"?

Consider the level of accuracy required for your analysis, the potential impact of the approximation on your results, and the availability of more precise methods. Be transparent about your use of approximations and their limitations.