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
by calculating with
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "by calculating with" is correct and usable in written English.
It can be used when describing a method or approach that involves performing calculations using specific data or variables. Example: "We can improve our predictions by calculating with the latest data sets available."
✓ Grammatically correct
Science
Alternative expressions(3)
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
5 human-written examples
By calculating with Equation 1, the surface residual stress was reduced to 184.84 MPa, which is much smaller than the optimized substrate.
Science
The sample size was obtained by calculating with SAS 9.1 (SAS, Cary, NC).
By calculating with (1), the glucose transfer coefficients were 0.056 mm/min and 0.14 mm/min in capsules with PEG4000 and without PEG4000, respectively.
We estimated that more than 20% of relative TA value mean having significant enzymatic activity in individual sample compared with Namalva cells and normal skin samples by calculating with NIH imaging soft ware.
Science
Desired precision/margin of error (d) = 3.75 %, the prevalence of unmet needs of LAPMs in Oromia Region (p) was about 15%% and CI = 95%%, which means α set at 0.05 and Ζ α/2 = 1.96 (value of Ζ at α 0.05 or critical value for normal distribution at 95 % CI) by calculating with Epi Info 7 statcalc.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
55 human-written examples
MicroRNA concentrations were determined by calculating ddCT with normalization to U6 snRNA.
Science
The strength of association was estimated by calculating ORs with 95% CI and p values.
Science
We determined accuracy of specific codes and coding algorithm by calculating PPV with 95% confidence intervals (CI).
Science
Women's preferences on way of administration will be described, by calculating proportions with the corresponding confidence intervals.
Science
The signatures could be further refined by calculating the overlap with limma, resulting in 576 spot A and 99 spot B high confidence ncRNAs, respectively (Supplementary Data 7).
Science & Research
Subgroups were compared by calculating risk ratios with 95% confidence intervals.
Science
Expert writing Tips
Best practice
When describing a scientific or technical methodology, ensure that the specific equation, software, or tool used in the calculation is clearly referenced for reproducibility.
Common error
Ensure the equation or method being used is explicitly mentioned. Do not assume the reader knows which calculation is being referred to, especially in technical writing.
Source & Trust
80%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "by calculating with" functions as a prepositional phrase modifying a verb, adverb, or adjective. It indicates the method or means by which something is determined or achieved. As evidenced by Ludwig, it's most frequently seen in scientific publications.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Academia
0%
Ludwig's WRAP-UP
In summary, the phrase "by calculating with" is a grammatically correct prepositional phrase that specifies how a result is derived through a calculation process. Ludwig AI indicates that this phrase is most commonly found in scientific contexts, where methodological precision is crucial. While correct, it is a relatively rare phrase, so choosing alternatives that emphasize clarity and conciseness may be beneficial depending on the intended audience. When using the phrase, always ensure that the specific calculation, equation, or tool is clearly referenced.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
through calculation with
Replaces "by calculating" with "through calculation", emphasizing the process.
using calculations with
Substitutes "by calculating" with "using calculations", highlighting the tools used.
via calculation with
Replaces "by calculating" with "via calculation", offering a more formal tone.
determined by calculation with
Adds "determined", specifying that the outcome is established through calculation.
estimated by calculating with
Uses "estimated" to indicate an approximate value derived through calculation.
assessed through calculation with
Emphasizes evaluation by means of calculation.
computed by using
Uses 'computed' to specify an actual numeric process.
evaluated by means of
Indicates method of determining quantity or value by using data.
obtained through application of
Replaces calculation more broadly as general application of algorithm.
derived from mathematical processing of
Specifies the mathematical origin of resulting calculation with data.
FAQs
How can I rephrase "by calculating with"?
Alternatives include "through calculation with", "using calculations with", or "via calculation with", depending on the desired level of formality and emphasis.
Is "by calculating with" grammatically correct?
Yes, "by calculating with" is grammatically sound, though it is more common in specific technical or scientific contexts as highlighted by Ludwig.
When is it appropriate to use "by calculating with"?
It's suitable when you want to describe how a result or conclusion was reached through a specific calculation, typically in scientific or technical writing. For example: "The surface residual stress was reduced to 184.84 MPa, which is much smaller than the optimized substrate "by calculating with" Equation 1".
What's the difference between "by calculating with" and "by using calculation"?
"By calculating with" directly implies the action of calculating, while "by using calculation" is slightly more general and emphasizes the application of a calculation method. The choice depends on whether you want to highlight the action or the tool.
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
80%
Authority and reliability
4.1/5
Expert rating
Real-world application tested