was calculated by using

USAGE SUMMARY

The phrase "was calculated by using" is correct and usable in written English.
It can be used to explain a method or process that was carried out in order to calculate a particular result. Example: The total cost of the project was calculated by using a formula developed specifically for this purpose.

✓ Grammatically correct

Science

Science & Research

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Normalized fold expression was calculated by using 2−∆∆Ct method.

Nature

Statistical significance was calculated by using two-way ANOVA followed by Turkey's test.

Nature

Sequence divergence uncorrected "p-distance" was calculated by using MEGA 7.051.

Nature

The peak-shift Δ2θ m ≡ 2θ SRM − 2θ obs was calculated by using the raw data.

Nature

The reaction heat was calculated by using the thermodynamic simulation.

Surface and Coatings Technology

Relative quantity of miR-214 and LHX6 mRNA expression was calculated by using the 2−ΔΔCT method.

Nature

The statistical significance of time-course data for sleep-wake profiles was calculated by using two-way ANOVA (repeated measures).

Nature

Average hydrodynamic diameter was calculated by using a cumulant method34, while CONTIN35 was employed to obtain a size distribution.

Nature

Biomass was calculated by using species-specific equations worked out by past researchers measuring dead trees.

The New York Times

A formulation that maximizes packaging properties and minimizes carvacrol release was calculated by using RSM.

European Polymer Journal

Furthermore, nanohardness and Young's Modulus of each sample was calculated by using nanoindentation method.

Journal of Alloys and Compounds

Expert writing Tips

Best practice

When describing a calculation, clearly specify the formula, software, or method used immediately after the phrase "was calculated by using" to provide context and enhance clarity for the reader.

Common error

Avoid vague statements like "The result was calculated by using a standard method." Instead, specify the exact method or standard used to ensure transparency and reproducibility.

Linguistic Context

The phrase "was calculated by using" functions as a passive construction indicating the method employed to arrive at a specific numerical result. According to Ludwig, this phrase is correct and usable in written English. Examples in Ludwig illustrate its use in scientific and research contexts.

Expression frequency: Very common

Frequent in

Science

65%

Science & Research

25%

News & Media

5%

Less common in

Formal & Business

1%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, the phrase "was calculated by using" is a grammatically correct and frequently used expression, particularly within scientific and academic contexts. It serves to clarify the methodology employed in achieving a particular quantitative result, emphasizing transparency and reproducibility. Ludwig AI confirms its proper usage in various examples. While shorter alternatives like "was calculated with" exist, "was calculated by using" provides slightly more emphasis on the method or tool that was used. It's essential to clearly specify the formula, software, or method immediately following the phrase to enhance clarity for the reader.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

was determined through the use of

Emphasizes the process of determination rather than a straightforward calculation.

was computed via

Uses "via" to specify the means by which the computation was performed.

was derived employing

Replaces "using" with "employing", suggesting a more technical derivation.

was found by means of

Highlights that the result was discovered through a particular method.

was assessed with the aid of

Indicates that the assessment involved assistance from a specific tool or method.

was evaluated utilizing

A more formal way of saying something was evaluated by using something.

was obtained through

Focuses on the result being acquired through a particular process.

was estimated based on

Implies an approximation rather than an exact calculation.

was modeled using

Suggests the use of a model in the calculation process.

was quantified by applying

Emphasizes the application of a specific technique for quantification.

FAQs

How can I rephrase "was calculated by using" in a research paper?

Consider alternatives like "was determined through the use of", "was computed via", or "was derived employing" for a more formal tone. See also "was determined through the use of", "was computed via".

Is it correct to say "was calculated by use of"?

While grammatically sound, "was calculated by using" is more common and direct. "By use of" can sound overly formal in many contexts. For alternatives, check "was derived employing".

What's the difference between "was calculated by using" and "was estimated based on"?

"Was calculated by using" implies a precise computation with a defined formula. "Was estimated based on" suggests an approximation or inference from available data. Consider "was estimated based on" if you're looking for an alternative to using precise formulas.

Can I use "was calculated with" instead of "was calculated by using"?

Yes, "was calculated with" is a shorter and equally valid alternative. However, "was calculated by using" may provide slightly more emphasis on the method or tool used. Another alternative is "was found by means of".