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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
are derived by multiplying
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "are derived by multiplying" is correct and usable in written English.
You can use it in contexts where you are explaining how certain values or results are obtained through multiplication. Example: "The final results are derived by multiplying the initial values by the conversion factor."
✓ Grammatically correct
Science
News & Media
Academia
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
6 human-written examples
Then, the human health impacts are derived by multiplying the intake fraction and human health effect factors by the amount of pollutants emitted from building materials.
Science
Finally, expected announcements E A σ t for each stock for each transaction date (t) are derived by multiplying μ DA σ with W DA t.
Total economic costs in 2010 are derived by multiplying the number of incident cases in 2010 by estimates of the average lifetime direct and indirect costs.
Science
In pooled data, these counts are unobserved so they are derived by multiplying the estimated allele frequency for the pool by the number of individuals in the pool.
For each treated patient, expected HAM-A scores are derived by multiplying the pretreatment HAM-A score by the expected percentage change in HAM-A score by week.
bThe estimated number and range of deaths from rotavirus are derived by multiplying the median and IQR of diarrhea hospitalizations attributable to rotavirus by the median number of deaths caused by diarrhea for each stratum.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
54 human-written examples
The precise limit is derived by multiplying the number of constituencies being contested by £30,000.
News & Media
This is derived by multiplying the simulated CH2Cl2 mixing ratio at the tropical tropopause by 2, to account for the 2 Cl atoms in the molecule.
Science & Research
Unless otherwise specified in the grant, all compensation and allowance for United States participants shall be payable biweekly and shall be computed as follows: An annual rate shall be derived by multiplying a monthly rate by 12; a biweekly rate shall be derived by dividing an annual rate by 26; and a calendar day rate shall be derived by dividing an annual rate by 364.
Academia
(The figure is derived by multiplying the net worth of the group's total membership by the percentage pledged to charity). By comparison, total U.S. charitable giving annually is about $300 billion.
News & Media
An aggregate welfare measure can be derived by multiplying the mean WTP by the total urban households in the Mekong Delta.
Expert writing Tips
Best practice
When using the phrase "are derived by multiplying", ensure that the factors being multiplied are clearly defined to avoid ambiguity. For example, "The total cost are derived by multiplying the unit price by the quantity."
Common error
Avoid implying that multiplication is the only factor determining the derived value. The phrase should accurately reflect the mathematical process without overstating its significance. For example, don't say "Success are derived by multiplying effort and talent" if other factors also contribute.
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "are derived by multiplying" functions as a passive construction indicating how certain values or results are obtained. It describes a mathematical process where multiplication is used to determine a specific outcome. As Ludwig AI points out, it's grammatically sound.
Frequent in
Science
80%
News & Media
10%
Academia
10%
Less common in
Formal & Business
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
The phrase "are derived by multiplying" is a grammatically correct passive construction used to explain how results are obtained through multiplication. Ludwig AI confirms its grammatical soundness. Its usage is most common in scientific and technical contexts where precise explanations of calculation methods are required. While alternatives like "are obtained by multiplying" or "are calculated by multiplying" exist, this phrase specifically emphasizes the process of derivation through multiplication. When using this phrase, ensure that the elements being multiplied are clearly defined to avoid ambiguity.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
are obtained by multiplying
Replaces "derived" with "obtained", focusing on the action of getting the result.
are calculated by multiplying
Emphasizes the computational aspect of the derivation.
are computed through multiplication
Uses "computed" instead of "derived", highlighting the calculation process.
result from multiplying
Shifts the focus to the outcome as a result of multiplication.
stem from multiplying
Implies a source or origin from the multiplication process.
are produced by multiplying
Highlights the creation of a result through multiplication.
are determined by multiplying
Focuses on the determination of a value through multiplication.
are found by multiplying
Indicates the discovery of a value using multiplication.
are figured out by multiplying
Informal phrasing suggesting a problem-solving aspect to the calculation.
are worked out by multiplying
Similar to "figured out", but with a more procedural connotation.
FAQs
How can I use "are derived by multiplying" in a sentence?
Use "are derived by multiplying" when explaining that a value or result is obtained through a multiplication process. For example, "The area of a rectangle is derived by multiplying its length and width".
What phrases are similar to "are derived by multiplying"?
Alternatives include "are obtained by multiplying", "are calculated by multiplying", or "result from multiplying" depending on the specific context.
Is it correct to say "is derived by multiplying" instead of "are derived by multiplying"?
No, "is derived by multiplying" is used with singular subjects, while "are derived by multiplying" is used with plural subjects. For example, "The area is derived by multiplying" (singular), and "The final scores are derived by multiplying" (plural).
What is the difference between "are derived by multiplying" and "are calculated by multiplying"?
While similar, "are derived by multiplying" suggests a broader sense of obtaining or inferring a value, whereas "are calculated by multiplying" specifically emphasizes the computational aspect.
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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
4.1/5
Expert rating
Real-world application tested