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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

are found by multiplying

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "are found by multiplying" is correct and usable in written English.
It can be used in mathematical or scientific contexts when explaining how to derive a value through multiplication. Example: "The total cost of the items are found by multiplying the price of each item by the quantity purchased."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

This formula is for only one side of the mouth; therefore, the total number of teeth is found by multiplying the formula's results by two.

News & Media

The New York Times

A geometric mean is found by multiplying all values in a list and then taking the root of that product equal to the number of values (e.g., the square root if there are two numbers).

The prediction accuracies of each combination of landslide factors can be found by multiplying AUC values by 100%.

The estimated average daily intakes (EADI) were found by multiplying the median residual pesticide concentration (mg/kg) by the consumption rate (kg/day).

The estimated Average Daily intake (EADI) was found by multiplying the average/ mean residual pesticide concentration (μg/ww) by the fish consumption rate (Kg/day).

The rate at which substitutions occur in a population is found by multiplying the number of mutations produced per generation with the probability that these mutations are fixed.

Each nominal data rate is found by multiplying the coding rate, bits per symbol, and the number of symbols per second.

It is found by multiplying the principal limit factor by the appraised value of the home (up to $679,650) less any up-front costs financed with the loan and any set-asides.

News & Media

Forbes

The severity index is found by multiplying the frequency of each type of crash by its assigned weight, summing all values, and dividing the sum by the total frequency of crashes.

The PHB concentration, which is found by multiplying the total cell dry weight (g/l) by the PHB content (wt%), is the quantity that gives an indication when the broth contains an optimal amount of PHB.

The constant B is found by multiplying Equation 2 by the Neumann function N x, y), integrating over Ω1, applying Green's formula, and using the boundary conditions (3) and (4).

Show more...

Expert writing Tips

Best practice

When describing a process, ensure that the variables being multiplied are clearly defined to avoid ambiguity.

Common error

Ensure that all variables used in the multiplication have compatible units to produce a meaningful result. Mixing incompatible units will result in a meaningless number.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

84%

Authority and reliability

4.3/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "are found by multiplying" functions as a passive construction indicating how a value or result is obtained. This construction emphasizes the process of multiplication as the means to achieving a specific outcome. As Ludwig AI indicates, the phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

67%

News & Media

22%

Wiki

11%

Less common in

Formal & Business

0%

Encyclopedias

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "are found by multiplying" is a grammatically sound and neutrally formal construction used to delineate the process by which a result is obtained through multiplication. According to Ludwig AI, this expression is commonly found in scientific and technical contexts, as evidenced by its presence in journals like BMC Genomics and Environmental Health Perspectives. While it also appears in news and media, its primary function is to provide clear, methodological explanations. When using this phrase, ensure that the multiplied variables and their units are well-defined to maintain clarity and avoid potential misinterpretations.

FAQs

How can I use "are found by multiplying" in a sentence?

You can use "are found by multiplying" to describe how a result is obtained through multiplication. For example, "The prediction accuracies of each combination of landslide factors "are found by multiplying" AUC values by 100%."

What phrases are similar to "are found by multiplying"?

Similar phrases include "are obtained by multiplying", "are calculated by multiplying", or "are determined by multiplying". These alternatives convey a similar meaning of deriving a result through multiplication.

Is there a more formal way to say "are found by multiplying"?

Yes, in more formal contexts, you could use phrases like "are derived by multiplying" or "are ascertained by multiplying", which offer a more sophisticated tone.

When is it appropriate to use "are found by multiplying"?

It's appropriate to use this phrase when explaining a mathematical or procedural step where a result is obtained through multiplication. Ensure the context clearly indicates what values "are found by multiplying".

ChatGPT power + Grammarly precisionChatGPT power + Grammarly precision
ChatGPT + Grammarly

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.

Source & Trust

84%

Authority and reliability

4.3/5

Expert rating

Real-world application tested

Most frequent sentences: