as a first approximation

USAGE SUMMARY

The phrase "as a first approximation" is correct and usable in written English.
It is typically used in mathematical, scientific, or technical contexts to indicate an initial estimate or simplification that may not be precise but serves as a starting point for further analysis. Example: "As a first approximation, we can assume that the system behaves linearly under these conditions."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

A ventilated cavity is usually the way to model a ventilated room as a first approximation.

Energy

The model as a first approximation is found to be applicable for coverages up to 20%.

Electrochimica Acta

But with such nontrivial caveats as these, let us nevertheless adopt the convention, at least as a first approximation to reality.

The Guardian

The researchers caution that the new results should be seen as a first approximation to how Himalayan glaciers will react to increasing temperatures in the region.

The Guardian

As a first approximation, any providers should be funded and controlled by Congress to the same extent as the current Secret Service.

The Washington Post

As a first approximation, the total electronic energy of the molecule is the sum of the energies of the individual electrons in the various MOs.

Britannica

As a first approximation of the future, the authors assume that the world is utterly incapable of adjusting to problems of scarcity.

The New York Times

where all surface resistances have been incorporated in the 1/α term, as a first approximation (see Supplementary Note 3 for further details)62.

Nature

The 'silanol nest model' proposed by Caillez et al.30,47 can be then adopted as a first approximation of zeolite's defects with tunable hydrophilicity47.

Nature

As a first approximation, the CO2 leak rate was estimated at about 0.0085% of the total CO2 sequestered per annum.

Applied Geochemistry

As a first approximation, an RF coil is essentially a tuned electrical circuit comprising an inductor and a capacitor.

Measurement

Expert writing Tips

Best practice

When using "as a first approximation", clearly state the assumptions and limitations of the approximation to avoid misleading interpretations. For instance, explain what factors are being ignored or simplified.

Common error

Avoid presenting information derived from "as a first approximation" as definitive or precise. Always acknowledge that further refinement or more detailed analysis may be necessary for greater accuracy.

Linguistic Context

The phrase "as a first approximation" functions as an adverbial phrase, modifying a statement by indicating that it is an initial, simplified estimate. This is supported by Ludwig AI, which identifies its usage across various contexts.

Expression frequency: Very common

Frequent in

Science

64%

News & Media

19%

Encyclopedias

3%

Less common in

Formal & Business

5%

Academia

2%

Reference

0%

Ludwig's WRAP-UP

The phrase "as a first approximation" is a useful tool for introducing simplified models or initial estimates, particularly in scientific and technical contexts. As confirmed by Ludwig AI, it signals that the presented information is not definitive and may require further refinement. While the phrase is grammatically correct and widely used, it's important to clearly state the assumptions and limitations of the approximation to avoid misleading interpretations. More formal than informal, its use is prevalent in science, news, and encyclopedic sources. Alternatives like "as an initial estimate" or "as a rough estimate" can be considered depending on the nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as an initial estimate

Focuses on the 'initial' aspect, suggesting it's the very first calculation or judgment.

as a rough estimate

Emphasizes the 'rough' or imprecise nature of the calculation.

as a preliminary assessment

Highlights the 'preliminary' nature, indicating it's an early evaluation before more detailed analysis.

as a starting point

Focuses on using the approximation as a base for further development or refinement.

for the sake of simplicity

Indicates the approximation is made to simplify a complex situation or calculation.

as a basic model

Implies the approximation is a simplified representation of a more complex system or phenomenon.

as a broad generalization

Suggests the approximation is a wide-ranging statement that may not be accurate in all cases.

to begin with

Indicates the first step in a series of calculations or analyses.

in the first instance

Highlights that this approximation is the first approach taken.

as a rule of thumb

Suggests a practical and easily applied approximation, though not necessarily precise.

FAQs

How can I use "as a first approximation" in a sentence?

You can use "as a first approximation" to introduce a simplified or initial estimate of a value or situation. For example, "As a first approximation, we can assume that air resistance is negligible."

What phrases are similar to "as a first approximation"?

Similar phrases include "as an initial estimate", "as a rough estimate", or "as a preliminary assessment". The best choice depends on the specific context.

Is "as a first approximation" formal or informal?

"As a first approximation" is generally considered formal, suitable for academic, scientific, or technical writing. It may sound out of place in casual conversation.

When is it appropriate to use "as a first approximation"?

Use "as a first approximation" when you are presenting an initial estimate or simplification that is not intended to be completely accurate but is useful as a starting point for further analysis or discussion.