in this approximation

USAGE SUMMARY

"in this approximation" is a correct and usable phrase in written English.
You can use it when you are referring to a rough estimate or calculation, as in the following example: "By making certain assumptions about the economy, we can arrive at a reasonable conclusion, in this approximation."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

In this approximation, the mean concentrations of the CME are approximated by the solution of the deterministic rate equations (REs) and the probability distribution of the fluctuations is approximated by a Gaussian.

BMC Genomics

In this approximation, the REWOD process behaves similarly to the classical variable-capacitance-based energy generation.

Nature

In this approximation, associativity permits slices of the volume, which are images with an opacity per pixel, to be composited from top to bottom as well as from bottom to top.

Stanford University

The same things happens for all even power terms, by the way; the errors in this approximation to the derivative all come from odd power terms in the power series expansion of f about x.

Massachusetts Institute of Technology

In this approximation, which is known as the linear combination of atomic orbitals (LCAO) approximation, each MO is constructed from a superposition of atomic orbitals belonging to the atoms in the molecule.

Encyclopedia Britannica

The error in this approximation is exponentially small in 1/α for sech's and inverse quadratics and exponentially small in 1/α2 for Gaussians; the error is proportional to α4 for multiquadrics and inverse multiquadrics.

Journal of Computational Physics

What you're after, which is somehow concocted in this approximation of a kitchen, awaits in the crowded glass case: small plastic bins of octopus cured in yuzu and pitched into chewy, sweet hominy ($8.99) perhaps, or chickpeas in a nest of black hijiki seaweed ($5.50), or brussels sprouts plumped up by sake and streaked with hot lemony yuzu kosho ($5.50).

The New York Times - Food

In this approximation, (15) can be eventually rewritten as.

EURASIP Journal on Advances in Signal Processing

Poisson and Gaussian processes are widespread in this approximation.

Journal of Cloud Computing

In this approximation, the Coulomb interaction can be neglected.

Nanoscale Research Letters

For Farabi, a person's ultimate happiness is found in this approximation to the ideal.

SEP

Expert writing Tips

Best practice

When using "in this approximation", clearly state the assumptions you are making to ensure transparency and allow readers to understand the scope and limitations of your analysis.

Common error

Avoid presenting results derived "in this approximation" as definitive or highly accurate. Acknowledge the potential for error introduced by the simplification.

Linguistic Context

The phrase "in this approximation" functions as a prepositional phrase that introduces a statement or calculation based on simplified assumptions. As Ludwig AI confirms, it's correct and commonly used to indicate a non-exact calculation.

Expression frequency: Very common

Frequent in

Science

78%

Academia

14%

News & Media

4%

Less common in

Encyclopedias

1%

Wiki

1%

Formal & Business

2%

Ludwig's WRAP-UP

The phrase "in this approximation" is a grammatically correct and frequently used prepositional phrase, as confirmed by Ludwig AI. It serves to introduce statements or calculations based on simplified assumptions, particularly within scientific and academic writing. Its primary function is to acknowledge the inherent limitations and potential inaccuracies resulting from these simplifications. While predominantly found in formal and scientific registers, it can occasionally appear in news and media contexts. When employing this phrase, it is essential to clearly articulate the underlying assumptions to maintain transparency and contextualize the results. Keep in mind that results derived "in this approximation" should be presented cautiously, avoiding overstated claims of accuracy.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

to a first approximation

Focuses on the initial simplification or estimation being made.

with this simplification

Highlights the simplification made.

as a rough estimate

Emphasizes the lack of precision in the calculation.

for the sake of simplicity

Highlights the simplification made for easier understanding or calculation.

under these assumptions

Specifies that the following statements are true only when certain assumptions are valid.

in simplified terms

Highlights the simplification made in order to ease comprehension.

on the assumption that

Explicitly states that the following statements are based on a specific assumption.

to simplify the matter

Emphasizes the act of making something simpler.

for practical purposes

Indicates that a simplification is made to allow for easier practical application.

given these limitations

Acknowledges that some aspects are ignored for the sake of simplification.

FAQs

How can I use "in this approximation" in a sentence?

You can use "in this approximation" to introduce a statement or calculation that relies on certain simplifying assumptions. For example, "In this approximation, we assume that air resistance is negligible."

What is a good alternative to "in this approximation"?

Alternatives include "to a first approximation", "as a rough estimate", or "for the sake of simplicity", depending on the context.

What does "in this approximation" mean?

"In this approximation" means that a calculation or statement is based on certain simplifications or assumptions, which may not perfectly reflect reality.

Is it appropriate to use "in this approximation" in formal writing?

Yes, "in this approximation" is suitable for formal writing, especially in scientific and technical contexts, where approximations are often necessary to make calculations tractable.