obtained by multiplying

USAGE SUMMARY

"obtained by multiplying" is a correct and usable phrase in written English.
You can use it when you want to describe something that has been acquired through multiplication. For example: "The answer to the equation was obtained by multiplying 4 and 5."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The model is obtained by multiplying Scheffé mixture models for each mixture system.

Chemometrics and Intelligent Laboratory Systems

The S-transform "wavelet" is obtained by multiplying this real window with the complex Fourier sinusoid.

Signal Processing

Then, the cortex filter (Eq. 6) is obtained by multiplying the dom and fan filters.

EURASIP Journal on Image and Video Processing

The hazard function is obtained by multiplying f /g by an average rate (Poisson rate).

Earth, Planets and Space

Here, the windowed sinc (WS) is obtained by multiplying Kaiser window to sinc function.

EURASIP Journal on Wireless Communications and Networking

Frictional heating is obtained by multiplying shear stress τ and the plate velocity v pl.

Earth, Planets and Space

It was obtained by multiplying the support value and the average distance value together.

Research and Practice in Technology Enhanced Learning

The final price can be obtained by multiplying N o l×(1−R e c).

Mathematics-in-Industry Case Studies

Deposition values in n/cm2 were obtained by multiplying displayed deposition values by 0.0001.

Environmental Sciences Europe

Forgetting is obtained by multiplying matrices S and F by a fading factor α<1.

Journal of the Brazilian Computer Society

The Odour Emission Rate (OER) is then obtained by multiplying the emitted gas flow rate by the LFG odour concentration.

Atmospheric Environment

Expert writing Tips

Best practice

When using "obtained by multiplying", ensure the variables being multiplied are clearly defined to avoid ambiguity.

Common error

Double-check that the units are consistent throughout your calculation. Multiplying values with incompatible units leads to incorrect results, even if the numerical calculation is correct. For example, it would be an error to multiply meters and centimeters without converting them to the same unit first.

Linguistic Context

The phrase "obtained by multiplying" functions as a verbal phrase indicating a method of calculation or derivation. It describes how a particular result was achieved, using multiplication as the key operation. As Ludwig AI confirms, it is a correct and usable phrase.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "obtained by multiplying" is a grammatically sound and widely used phrase, particularly within scientific and technical fields. Ludwig AI confirms its correctness and usability. It serves to articulate that a value is derived through multiplication, emphasizing the method of calculation. While appropriate for formal registers, simpler alternatives like "found by multiplying" may be suitable for informal contexts. Ensure unit consistency when applying multiplication. By understanding its function and appropriate context, you can effectively integrate "obtained by multiplying" into your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

calculated through multiplication

Replaces "obtained" with "calculated", emphasizing the mathematical process.

determined by multiplication

Substitutes "obtained" with "determined", highlighting the act of finding a specific value.

found by multiplying

Uses "found" instead of "obtained", suggesting the discovery of a result.

derived via multiplication

Replaces "obtained" with "derived" and "by" with "via", offering a more formal tone.

resulted from multiplication

Focuses on the multiplication as the cause of the result, using a passive construction.

computed through multiplication

Similar to "calculated through multiplication", but with a slightly more technical feel.

achieved by multiplying

Emphasizes the successful attainment of a value through multiplication.

ascertained by multiplying

A more formal and less common synonym for "obtained by multiplying".

generated by multiplication

Focuses on multiplication as the process that creates a specific result.

the product of multiplying

This phrase highlights the result of the multiplication process

FAQs

How can I rephrase "obtained by multiplying" in a research paper?

In a research paper, you can use more formal alternatives such as "calculated through multiplication", "determined by multiplication", or "derived via multiplication" to maintain a scholarly tone. You may also consider using alternatives like "ascertained by multiplying" if you want to add a more sophisticated feel.

Is "obtained by multiplying" grammatically correct?

Yes, "obtained by multiplying" is grammatically correct. It's a passive construction indicating that a certain value or result was acquired through the process of multiplication.

What's a simple substitute for "obtained by multiplying"?

A simpler substitute is "found by multiplying". It's more direct and suitable for less formal contexts.

How to use "obtained by multiplying" in a sentence?

You can use it like this: "The area of the rectangle was obtained by multiplying its length and width."