we approximated

USAGE SUMMARY

The phrase "we approximated" is correct and usable in written English.
It can be used when discussing estimates or calculations that are not exact but are close enough for the purpose at hand. Example: "In our study, we approximated the total cost of the project to be around $10,000 based on the available data."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Instead we approximated relative risks by the odds ratios obtained from logistic regression models, an approximation which is reasonable for a rare disease such as childhood ALL.

British Journal of Cancer

We approximated the molybdenum emitter by a cone terminated by a 10 nm radius half sphere which represents the tip apex.

Nature

Using the IP address of each respondent, we approximated the geographical coordinates of the respondent and displayed this location on a map on the survey.

Cornell University

So, in other words, notice that we got smaller than the right answer because we approximated as if it was a straight line that was joining the curve.

Massachusetts Institute of Technology

Finally, we approximated powers by discrete values.

Progress in Earth and Planetary Science

We approximated that the molecules were uniformly adsorbed onto the ITO-coated glass and nanoscrew.

Nano-Micro Letters

To estimate the sampling error, we approximated the errors using the study from [54].

Carbon Balance and Management

We approximated the estimation of divergence by assuming a Poisson solid.

Progress in Earth and Planetary Science

We approximated the orifice plate's deformation shape, using a clamped circular plate deformation.

ROBOMECH Journal

We approximated MP to be 28.3 for Istanbul, 15.5 for Ankara and 13 for Izmir.

IZA Journal of Migration

In a similar manner, we approximated the roughness of a layer.

International Nano Letters

Expert writing Tips

Best practice

When using "we approximated", specify the method or basis for your approximation to enhance transparency and credibility.

Common error

Avoid using "we approximated" without providing context on the degree of error or potential limitations of the approximation. Always acknowledge the assumptions made during the approximation process.

Linguistic Context

The phrase "we approximated" functions as a statement of method, typically found in scientific or technical writing. It indicates that the authors used an approximation to derive a value or result, often due to limitations in data or computational resources. Ludwig confirms that it is grammatically correct.

Expression frequency: Very common

Frequent in

Science

95%

Academia

3%

Formal & Business

1%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "we approximated" is a grammatically sound and frequently used expression, particularly within scientific and academic writing. As Ludwig AI indicates, it serves to transparently describe the methods employed in research. When using this phrase, it's crucial to provide context regarding the approximation method and its limitations to maintain transparency and credibility. Alternatives like "we estimated" or "we roughly calculated" can offer nuanced variations in meaning. Common errors include failing to contextualize the approximation, which could lead to oversimplified or misleading conclusions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

we estimated

Uses "estimated" instead of "approximated", implying a less precise calculation.

we roughly calculated

Specifies that the calculation was not exact, adding emphasis on the lack of precision.

we made an estimate of

Rephrases the action as making an estimate, focusing on the result of the approximation.

we determined approximately

Emphasizes the approximate nature of the determination, using "approximately" as an adverb.

we inferred an approximate value

Highlights the inferential aspect of reaching an approximate value.

we took as an approximation

Indicates a choice of using a value as an approximation, suggesting a conscious decision.

we considered as a rough estimate

Similar to "we estimated", but explicitly calls it a "rough estimate", reducing the precision.

we presumed an approximate figure

Implies an assumption of an approximate figure, rather than a calculation.

we modeled approximately

Uses modeling to achieve an approximation, suggesting a systematic approach.

we used an approximation for

Shifts the focus to using a pre-existing approximation rather than creating one.

FAQs

How can I use "we approximated" in a research paper?

In a research paper, use "we approximated" to indicate that a value was estimated using certain assumptions or methods. For example: "We approximated the population size based on available data." It's similar to saying "we estimated", but can imply a less formal method.

Is it better to say "we approximated" or "we estimated"?

Both "we approximated" and "we estimated" are acceptable. "We approximated" may suggest a simplification or rough calculation, while "we estimated" implies a more formal or statistically-driven approach. The best choice depends on the context and the method used.

What are some alternatives to "we approximated" for formal writing?

In formal writing, consider alternatives such as "we estimated", "we calculated approximately", or "we determined an approximate value". These phrases offer a more precise and professional tone compared to "we approximated".

How do I properly qualify an approximation when using "we approximated"?

When using "we approximated", provide details about the method used for the approximation and any limitations. For instance: "We approximated the infection rate using a simplified model, acknowledging that it does not account for individual variations."