obtained by calculating

USAGE SUMMARY

"obtained by calculating" is correct and usable in written English.
You can use this phrase when you are talking about numbers that have been obtained by using a mathematical process. For example, "The total amount of the purchase was obtained by calculating the sum of the individual items."

✓ Grammatically correct

Science

Science & Research

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Differentiation was quantified by calculation myogenic index obtained by calculating the ratio of nuclei within the myotubes to the total number of nuclei.

Nature

The water content was obtained by calculating the W/D weight ratio.

Nature

The figures were obtained by calculating the number of skiers on the slopes each day during the winter ski season.

The Guardian

The extinction spectra can then be obtained by calculating Ext = −ln(T) with the transmittance T = |t|2.

Nature

The design optimal sizes are obtained by calculating the torque density.

International Journal of Electrical Power & Energy Systems

Rank of design concepts is obtained by calculating interval-based relative closeness index for each alternative.

Expert Systems with Applications

The wetted area was obtained by calculating the cavity size and axis.

International Journal of Naval Architecture and Ocean Engineering

The Brillouin frequency map shown in Fig. 5(b) was obtained by calculating the Fourier transform over the complete temporal extent of the acquired signal.

Nature

Emission ratios were obtained by calculating background-subtracted FRET intensities divided by background-subtracted miRFP670nano intensities for JNK and PKA NIR biosensors.

Nature

Predictive accuracy was obtained by calculating bias-corrected Harrell's c and by bootstrap calibration.

Duke University

The direct costs were obtained by calculating the drug consumption, both of triptans and rescue medications.

The Journal of Headache and Pain

Expert writing Tips

Best practice

When using "obtained by calculating", clearly state the formula or method used to arrive at the result for transparency and reproducibility.

Common error

Ensure that the variables and units used in the calculation are clearly defined to avoid misinterpretation. For instance, instead of stating "the index was obtained by calculating the ratio", specify "the index was obtained by calculating the ratio of variable A (in units of X) to variable B (in units of Y)".

Linguistic Context

The phrase "obtained by calculating" functions as a passive construction indicating how a particular result or value was derived. Ludwig AI confirms its proper usage in various contexts.

Expression frequency: Very common

Frequent in

Science

60%

Science & Research

30%

News & Media

10%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "obtained by calculating" is a grammatically sound and frequently used phrase to describe results derived through computation. As confirmed by Ludwig AI, it's particularly prevalent in scientific and technical writing. When employing this phrase, ensure clarity by specifying the calculation method and units. Alternatives such as "determined through computation" offer variations in tone and emphasis. By understanding its context and usage, you can effectively convey how data and results are derived in your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

determined through computation

Focuses on the action of determining instead of obtaining, and uses 'computation' as a direct replacement for 'calculating'.

derived via calculation

Uses 'derived' to mean obtained and 'calculation' as a noun form of 'calculating'.

ascertained by computation

Replaces 'calculating' with the more formal term 'computation' and uses 'ascertained' as a synonym for 'obtained'.

computed to find

Emphasizes the action of computation leading to a result, rather than the result itself.

resulted from calculation

Focuses on the outcome as a result of a calculation process.

found by means of computation

Highlights the method (computation) used to discover the result.

determined algorithmically

Replaces 'calculating' with 'algorithmically', implying a specific computational procedure.

figured out through calculation

Uses a more informal 'figured out' to replace 'obtained', making the phrase less formal.

evaluated computationally

Focuses on the evaluation aspect using computational methods.

estimated through computation

Specifies estimation as the type of calculation performed.

FAQs

How can I rephrase "obtained by calculating" to sound more formal?

To sound more formal, you could use phrases such as "determined through computation", "derived via calculation", or "ascertained by computation".

What is a simple substitute for "obtained by calculating"?

A simpler substitute could be "found by calculating" or "computed to find", depending on the context.

Is it correct to say "acquired by calculating" instead of "obtained by calculating"?

Yes, "acquired by calculating" is a valid alternative, although "obtained" is more common in formal writing.

What's the difference between "obtained by calculating" and "obtained through calculation"?

While both phrases are grammatically correct and similar in meaning, "obtained through calculation" emphasizes the process of calculation as a means to an end, whereas "obtained by calculating" focuses on the act of performing the calculation.