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
are obtained through multiplication
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "are obtained through multiplication" is correct and usable in written English.
It can be used in mathematical or scientific contexts when explaining how certain values or results are derived by multiplying numbers or quantities. Example: "The final results of the experiment are obtained through multiplication of the initial measurements."
✓ Grammatically correct
Science
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified similar examples from authoritative sources
Similar Expressions
60 human-written examples
The horizontal handoff rate can be obtained through multiplication of the transition probability to the neighboring cell and thus the accepted rates can be expressed as λ c c → c = P c, d c a c → c × λ c d c a × 1 - B c c, n + P c, c o a c → c × λ c c o a × 1 - B c c, n + λ c c → c × 1 - B c c → c (18).
Simulated tumor cases were obtained through multiplication of the mean by the empirical copy number ratio of 204 prostate cancer cases [ 9].
Science
It is obtained through the multiplication of the inherent achievable quality, (95 - Ie, codec), and W. Finally, the value of Ie, eff is obtained by adding distortions caused by the coding scheme under no-loss condition, Ie, codec, and those caused by packet losses, Ie, loss.
Dual access calls accepted by a WLAN can make upward vertical handoffs which rates can be obtained through the multiplication of the transition probability from the double coverage to the cellular only area, P w → c, and the accepted rates by a WLAN.
In the adopted framework the exact multiplication in the DFT domain would only be achieved with a circular convolution, whereas the filtered signal is obtained through an ordinary convolution.
The first is "obtained through illicit means".
News & Media
Crop insurance is obtained through private insurers.
News & Media
A card can be obtained through www.organdonor.gov.
News & Media
Knowledge is obtained through demonstration.
Science
Fitness can be obtained through action.
News & Media
The documents were obtained through the California Public Records Act.
News & Media
Expert writing Tips
Best practice
When using "are obtained through multiplication", ensure the context clearly defines the values being multiplied and the result being obtained. This phrase is most effective in technical or scientific writing where precision is key.
Common error
Avoid using "are obtained through multiplication" without specifying what is being multiplied. Ensure your sentence provides clear references to the operands and the resulting value to avoid ambiguity.
Source & Trust
84%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "are obtained through multiplication" functions as a passive construction, indicating that a result is derived or calculated by performing a multiplication operation. Ludwig AI confirms its correct usage in scientific contexts.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Academia
0%
Ludwig's WRAP-UP
The phrase "are obtained through multiplication" is a grammatically correct passive construction predominantly used in formal and scientific contexts to describe a calculation process. Ludwig AI confirms its validity. While not a frequent phrase, its meaning is clear and precise, making it suitable for technical writing where accuracy is paramount. Related phrases include "are derived by multiplying" and "are calculated through multiplying". Ensure clarity by specifying the values being multiplied to avoid ambiguity.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
are derived by multiplying
Focuses on the mathematical operation as the means of derivation.
are calculated through multiplying
Emphasizes the calculation aspect of the multiplication process.
are found by multiplying
Highlights the discovery of a value through multiplication.
are determined by multiplication
Stresses the role of multiplication in the determination of a value.
result from multiplication
Indicates a cause-and-effect relationship where multiplication is the cause.
stem from multiplication
Suggests that the outcome originates from the multiplication process.
are produced by multiplying
Highlights multiplication as the method of producing a result.
are computed by multiplication
Focuses on the computational nature of obtaining the results.
are assessed via multiplication
Emphasizes using multiplication as a tool for assessment.
are gained from multiplication
Highlights multiplication as the source from which something is gained or acquired.
FAQs
How can I use "are obtained through multiplication" in a sentence?
Use "are obtained through multiplication" to explain how certain values or results are derived mathematically. For example, "The final results "are obtained through multiplication" of the initial measurements."
What is an alternative to saying "are obtained through multiplication"?
You can use alternatives like "are derived by multiplying", "are calculated through multiplying", or "are found by multiplying" depending on the specific emphasis you want to convey.
Is it better to say "are obtained through multiplication" or "are obtained by multiplication"?
Both "are obtained through multiplication" and "are obtained by multiplication" are grammatically correct. "Through" emphasizes the process, while "by" emphasizes the means. The choice depends on the specific nuance you want to convey.
What does it mean when values "are obtained through multiplication"?
When values ""are obtained through multiplication"", it means they are calculated by multiplying two or more numerical quantities. This is common in mathematical and scientific contexts to explain the derivation of a result.
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
4.1/5
Expert rating
Real-world application tested