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 calculation
Grammar usage guide and real-world examplesUSAGE SUMMARY
'by calculation' is correct and usable in written English.
You can use it to describe how you arrived at a conclusion or answer. For example, "I determined the answer to the problem by calculation."
✓ Grammatically correct
Science
News & Media
Formal & Business
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
60 human-written examples
This difference was significant by calculation on individual values, but not when calculated on flock means.
We make decisions by calculation".
News & Media
Those easily shocked by calculation in pop should look away now.
News & Media
As Taylor says, "spontaneity had been replaced by calculation," a clue that the party was over.
News & Media
But the widely praised design of 50 East 42nd Street may have been dictated by calculation rather than idealism.
News & Media
But, to my eyes, Guinness – either by calculation or unknowing osmosis – has also shown Rylance what to do on television.
News & Media
Group-to-group relations are more often marked by calculation, rivalry and coldness.
News & Media
It's intermittently ruthless — consistently since June 12 — but proceeds by calculation, much of it about survival.
News & Media
His move this weekend may have been prompted more by desperation than by calculation.
News & Media
They are organized by elites, and propelled by calculation, not patriotism.
News & Media
By calculation,,, and ; let.
Science
Expert writing Tips
Best practice
Use "by calculation" to clearly indicate that a result or conclusion was reached through mathematical or logical computation, ensuring clarity and precision in technical or analytical contexts.
Common error
Avoid using "by calculation" when you actually mean "by estimation" or "by approximation". "By calculation" implies a precise, quantifiable process, whereas estimation involves a less exact, more subjective assessment.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "by calculation" functions primarily as an adverbial phrase, modifying a verb to indicate the method or means by which an action is performed or a result is obtained. Ludwig indicates that the phrase is grammatically sound and suitable for use in various contexts.
Frequent in
Science
64%
News & Media
26%
Formal & Business
10%
Less common in
Wiki
0.009%
Reference
0%
Social Media
0%
Ludwig's WRAP-UP
In summary, "by calculation" is a grammatically correct and widely used prepositional phrase that indicates a result was obtained through a deliberate process of mathematical or logical computation. Ludwig indicates its validity. It's most frequently found in scientific and news media contexts, signaling precision and objectivity. When writing, ensure its usage accurately reflects a quantitative method, avoiding confusion with estimations. Consider alternatives like "through computation" or "based on calculations" for nuanced expression. As seen in Ludwig's examples, this phrase helps emphasize the analytical rigor behind a conclusion.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
based on calculations
This phrase stresses that a decision, assessment, or result is founded upon mathematical or logical computations.
through computation
This alternative emphasizes the process of using mathematical or logical operations to reach a result.
via computation
Similar to "through computation", this option highlights the computational method as the means of achieving an outcome.
based on analysis
Similar to "through analysis", but emphasizes the result of the analysis more than the process.
through analysis
This indicates a process of detailed examination to understand something.
by mathematical means
This alternative specifies that the method used involves mathematics.
using a formula
This phrase highlights the use of a specific mathematical rule or equation.
by numerical method
Implies a specific, systematic method of computation.
arithmetically
This focuses on the use of basic arithmetic operations.
through systematic assessment
This alternative highlights a deliberate and organized method of assessment to reach a particular answer.
FAQs
How can I use "by calculation" in a sentence?
You can use "by calculation" to indicate that something was determined mathematically. For instance, "The area was determined "by calculation", using the standard formula."
What are some alternatives to saying "by calculation"?
Depending on the context, you could use phrases like "through computation", "based on calculations", or "via computation" to express a similar meaning.
Is it better to say "by calculation" or "through calculation"?
Both "by calculation" and "through calculation" are grammatically correct. However, "by calculation" is more common. They both indicate that a result was obtained using computation as a method.
What does "obtained by calculation" mean?
"Obtained by calculation" means that a specific value or result was determined through a process of mathematical or logical computation, rather than through direct measurement or observation. For example, "The figure was "obtained by calculation" of the relevant parameters."
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
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested