Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
calculated by calculating
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "calculated by calculating" is grammatically correct but somewhat redundant in written English.
You can use it when emphasizing the process of calculation, although it may be clearer to rephrase it for conciseness. Example: "The final result was calculated by calculating the average of all the data points."
Science
Alternative expressions(1)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
17 human-written examples
Our calculations take this into account because discrimination is calculated by calculating the difference of two proportions (see above equation).
Science
This basis set is calculated by calculating the eigendecomposition of a set of linear equations that approximate Eq.1 up to some maximum scattering vector (|q_{mathrm{max}}|).
Then, the influence of the corresponding nodes is calculated by calculating the parameters in the data transmission process in the network layer.
As a next step, the global means of the TOC and POCs are calculated by calculating their zonal means as a function of latitude and then weighting them with the surface area of the latitude belts (surface area preserving mean).
Science
The relative expression to the staining with the isotype control was calculated by calculating the ΔMFI MFII antibody stained - MFI control antibody).
Science
The percent area covered by blood platelets over the luminal surface of untreated or treated ePTFE tubings was calculated by calculating the percent area covered by CD41 (platelets marker) using binary image processing on Zeiss LSM Image Examiner software.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
43 human-written examples
The HLA-B allele frequency of the samples was calculated by direct counting and calculated by dividing the total number of occurrences of that allele by the total number of alleles at that locus in the population.
Science
There still contains small error between heat generation rate calculated by enthalpy and that calculated by entropy.
Stress intensity factor (SIF) has been calculated by strain gauge technique for calculating the stiffness of cracked pinion tooth.
Science
The validity of the equation was verified by comparing the results calculated by the equation with those calculated from finite element analysis.
In all cases, capillary forces on clay particles calculated by MD agreed with values calculated using the classical Young Laplace equation.
Science
Expert writing Tips
Best practice
For clarity and conciseness, avoid using the phrase "calculated by calculating". Instead, rephrase to describe the specific method or formula used in the calculation. For example: "calculated using the trapezoid model" or "determined by averaging zonal means".
Common error
Avoid redundancy by rephrasing sentences that include "calculated by calculating". It is better to specify the method of calculation, or focus on the result, instead of repeating the word "calculating".
Source & Trust
82%
Authority and reliability
3.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "calculated by calculating" functions as a verbal phrase emphasizing the method of computation. While grammatically sound, it's often considered redundant. Ludwig AI suggests rephrasing for conciseness, as shown in examples like "calculated using natural breaks between scores."
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Ludwig's WRAP-UP
The phrase "calculated by calculating" is used to describe a computational process, particularly in scientific and technical contexts. However, as Ludwig AI points out, it tends to be redundant. Consider rephrasing for clarity and conciseness. Common alternatives include "determined through computation" or specifying the method used. The phrase is grammatically acceptable but can be improved. Predominantly found in scientific literature, aiming for precise explanations of research methodologies, but it can benefit from more streamlined language.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
determined through computation
Replaces the repetitive verb use with a noun and preposition, focusing on the method.
computed via calculation
Uses "via" to indicate the means of computation, offering a more concise structure.
assessed by computation
Shifts the focus to the evaluation aspect, rather than repeated calculation.
derived through mathematical process
Highlights the mathematical aspect of the calculation.
evaluated by determining
Emphasizes the evaluative outcome of the calculation.
obtained by means of computation
Focuses on the result of the calculating process.
estimated using calculations
Highlights estimation as the purpose of the calculation.
ascertained via numerical methods
Specifies that numerical methods were used in the calculation.
quantified through arithmetic operations
Emphasizes the quantification and the arithmetic nature of the process.
figured out by computing
Uses a more informal phrasing, focusing on the act of figuring something out.
FAQs
How can I avoid redundancy when using "calculated by calculating"?
To avoid redundancy, focus on the specific method or formula used. For instance, instead of "calculated by calculating the area", say "calculated using the trapezoid model" or "determined by averaging zonal means".
What are some alternatives to the phrase "calculated by calculating"?
Consider alternatives like "determined through computation", "computed via calculation", or "assessed by computation". These options offer more concise ways to describe the calculation process.
Is it grammatically incorrect to say "calculated by calculating"?
While not strictly grammatically incorrect, the phrase "calculated by calculating" is redundant and can be improved for clarity. Ludwig AI confirms that the phrase "calculated by calculating", while grammatically correct, can be rephrased for conciseness.
In what contexts is "calculated by calculating" most likely to appear?
Based on the provided examples, this phrase frequently appears in scientific and technical contexts, especially when describing methodologies in research papers.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
3.8/5
Expert rating
Real-world application tested