calculated with

USAGE SUMMARY

"calculated with" is correct and usable in written English.
You can use it to describe the process of performing a calculation, or when you are discussing a calculation that has already been performed. For example, "The cost of the project was calculated with a detailed spreadsheet."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Power was calculated with Freedman's formula.

Nature

These radii are calculated with computer models.

Columbia University

Local resolution was calculated with blocres from the Bsoft21 package.

Nature

The P values were calculated with Spearman's correlation.

Nature

Respective p values were calculated with Fisher's exact test.

Nature

Dose-response relations were calculated with SigmaPlot as before.

Nature

All emissions (actual or avoided) were calculated with time dependency.

Nature

PWV was calculated with the formula: Δx/Δt.

Nature

CTF estimation for each micrograph was calculated with Gctf30.

Nature

The mean fluorescence from each image was calculated with ImageJ.

Nature

These results were calculated with a common statistical modeling method.

MIT Technology Review

Expert writing Tips

Best practice

When using "calculated with", specify the method, formula, or tool used for the calculation to provide clarity and context.

Common error

Avoid simply stating that something was "calculated with" without mentioning how it was calculated. Always provide the necessary context (e.g., formula, software, method) to allow for reproducibility and understanding.

Linguistic Context

The phrase "calculated with" functions as a verb phrase indicating the method or tool employed in performing a calculation. As Ludwig AI explains, it is grammatically sound and commonly used. The examples show its use in diverse scientific and technical contexts.

Expression frequency: Very common

Frequent in

Science

90%

News & Media

5%

Formal & Business

5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "calculated with" is a grammatically correct and very common phrase used to indicate the method, formula, or tool employed in performing a calculation. It is primarily used in formal and scientific writing to ensure clarity and transparency, as Ludwig AI confirms. The phrase appears most frequently in scientific sources and less commonly in news, business, or academic contexts. When using this phrase, it is best practice to always specify the details of the calculation to enhance reproducibility and understanding. Related alternatives include "determined using", "computed via", and "derived from".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

determined using

Focuses on the act of finding a value or result, rather than the specific method of calculation.

computed via

Implies a more formal or technical process of computation compared to a simple calculation.

derived from

Highlights that the result is a consequence of applying a formula or process.

obtained through

Emphasizes the process of getting a result, often implying a specific procedure was followed.

estimated by means of

Suggests an approximate calculation, often using a specific tool or technique.

assessed with

Highlights the evaluation aspect, indicating that something was judged or measured using a specific method.

evaluated using

Similar to assessed with, but typically implies a more rigorous and systematic method.

figured out by

Indicates a problem-solving approach where a solution was found via calculation.

worked out through

Emphasizes the step-by-step process of arriving at a solution.

quantified via

Focuses on assigning a numerical value using a specific method or tool.

FAQs

How do I use "calculated with" in a sentence?

Use "calculated with" to indicate the method, formula, or tool used to perform a calculation. For instance, "The p-values were "calculated with Spearman's correlation"" or "The area was "calculated with a specific formula"".

What are some alternatives to "calculated with"?

You can use phrases like "determined using", "computed via", or "derived from" as alternatives to "calculated with", depending on the specific context.

Is it better to say "calculated with" or "calculated using"?

"Calculated with" and "calculated using" are often interchangeable, but "calculated with" tends to be more concise. The best choice depends on the flow and style of your writing. In general, both are acceptable.

What does "statistical significance was calculated with" mean?

This phrase indicates that a statistical test was used to determine if the results of a study are likely due to chance or a real effect. For example, "Statistical significance was "calculated with Wilcoxon test"" means the Wilcoxon test was the statistical method employed.