as an alternative approximation

USAGE SUMMARY

The phrase "as an alternative approximation" is correct and usable in written English.
You can use it when suggesting a different method or estimation that could be used instead of the original one. Example: "In this analysis, we will consider the standard model; however, as an alternative approximation, we can also explore the simplified version."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Thus, in the late 1980s, density functional theory (DFT) coupled with local density corrected approximation (LDA) was developed as an alternative approximation method to derive reliable solutions to the Schrödinger equation for many-electron systems.

Nanoscale Research Letters

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

As an alternative, approximations to these techniques led to the development of methods in which only the physical protein-bound and unbound states of the ligand are evaluated in simulation, substantially reducing computational costs while still including thermal effects on binding [14].

Journal of Cheminformatics

Hence, we must explore an alternative approximation method to solve this problem.

Journal of Cloud Computing

In this paper we develop a technique for interpolation with quotients of two radial basis function (RBF) expansions to approximate such functions as an alternative to rational approximation.

Journal of Computational and Applied Mathematics

As an alternative to the variational approximation, a stochastic simulation via MCMC gives the asymptotically correct distribution of <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0008118.e180.PNG" class= inline-graphic"/>.

Plosone

As an alternative to mesh refinement, an adaptive approximation of the growing delamination was obtained in earlier work by enriching the elements in the fracture process zone.

Engineering Fracture Mechanics

As an alternative, one could consider, as an approximation, the prognosis of multi-drug resistant (MDR) tuberculosis treated with first line drugs.

Plosone

The goodness of fit of this model was assessed using the Root Mean Square Error of Approximation (RMSEA), as an alternative to chi-square.

Health and Quality of Life Outcomes

Analytical approximation is not suggested as an alternative to simulation models, but rather, as a complementary approach aimed at improving insight into model function.

Ecological Modelling

As an alternative, theoretically well supported canonical representations can be derived using approximation theory.

BMC Systems Biology

In this paper, the projection approximation subspace tracking (PAST) recursive algorithm is applied as an alternative method to identify the time-varying modal parameters.

Acta Astronautica

Expert writing Tips

Best practice

When using "as an alternative approximation", clearly state the limitations of the original approximation and explain why the alternative is being considered.

Common error

Avoid presenting the "alternative approximation" as definitively superior without proper validation. Acknowledge its potential shortcomings and the reasons for its use.

Linguistic Context

The phrase "as an alternative approximation" functions as an introductory prepositional phrase, setting the stage for presenting a different method or estimation. It indicates a substitution of one approximation technique with another. Ludwig examples confirm its usage in scientific and technical contexts.

Expression frequency: Rare

Frequent in

Science

50%

News & Media

25%

Wiki

25%

Less common in

Formal & Business

0%

Academia

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "as an alternative approximation" is used to introduce a different method of estimation when the original method is unsuitable. Ludwig AI confirms that it functions as an introductory phrase, primarily in scientific and technical contexts. While Ludwig's examples show the expression is "correct and usable in written English", it remains a relatively rare phrase. When using it, make sure to justify why the alternative is being considered.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as a different approximation

Replaces "alternative" with "different", emphasizing the distinction from the original approximation.

as an alternative estimate

Substitutes "approximation" with "estimate", suggesting a rough calculation.

as a substitute approximation

Uses "substitute" instead of "alternative", highlighting the replacement aspect.

as another approximation method

Specifies "method" after "approximation", clarifying the context.

as an alternate estimation technique

Combines "alternate" and "estimation technique" for a slightly more technical feel.

as a contrasting approximation

Emphasizes the difference between the original and the new approximation.

as a replacement approximation

Highlights the act of replacing one approximation with another.

as a different method of approximation

Expands the phrase to explicitly mention the "method of approximation".

as an innovative approximation

Suggests the approximation is new and original.

as an independent approximation

Emphasizes that the approximation is derived separately from the original.

FAQs

How can I use "as an alternative approximation" in a sentence?

You can use "as an alternative approximation" to introduce a different method of estimating a value when the original method is not suitable. For example: "The standard model is complex; however, as an alternative approximation, we can use a simplified model."

What's a simple way to rephrase "as an alternative approximation"?

A simpler way to rephrase it is to use "as a different approximation", which directly highlights the change in the method used for estimation.

When is it appropriate to use "as an alternative approximation"?

Use it when you need to explain that you are using a different estimation method because the original one is too complex, inaccurate, or otherwise unsuitable for the situation. This is common in scientific and mathematical contexts.

What's the difference between "as an alternative approximation" and "as a first approximation"?

"As a first approximation" introduces an initial estimate, while "as an alternative approximation" suggests a different, possibly more refined or suitable, method of estimation. The former is about starting, the latter about substituting.