derived by multiplying

USAGE SUMMARY

The phrase "derived by multiplying" is correct and usable in written English.
You can use it when explaining how a particular value or result is obtained through multiplication in mathematical or scientific contexts. Example: "The total area of the rectangle is derived by multiplying its length by its width."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The precise limit is derived by multiplying the number of constituencies being contested by £30,000.

The Guardian

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.

Nature

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.

Building and Environment

Mr. Limbaugh was not wrong about the numbers, which he derived by multiplying a general statistic of 1.3 million abortions per year by the number of years since 1973.

The New York Times

(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.

Forbes

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.

Journal of Economic Structures

An aggregate welfare measure can be derived by multiplying the mean WTP by the total urban households in the Mekong Delta.

Agricultural and Food Economics

Additive genetic variance was derived by multiplying the phenotypic variance by the heritability.

Plosone

From the final model a simplified risk score was derived by multiplying the β coefficients with 10/3.

Plosone

Total β-cell mass per pancreas was derived by multiplying this ratio by the total pancreatic weight.

Plosone

Population costs were derived by multiplying the number of PLHIV by their annual cost for 1997 2006 and projected 2007 2013.

Plosone

Expert writing Tips

Best practice

When using "derived by multiplying", ensure that the quantities being multiplied are clearly defined to avoid ambiguity.

Common error

Avoid assuming multiplication is the sole operation. Complex formulas may involve addition, subtraction, or division after the multiplication step, so clarify the full calculation process.

Linguistic Context

The phrase "derived by multiplying" functions as a descriptive verbal phrase, indicating a method of calculation or derivation. Ludwig AI confirms its correctness and usability in written English. It specifies how a particular value or result is obtained.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "derived by multiplying" is a grammatically sound and frequently used construction, particularly in scientific, news, and formal contexts. Ludwig AI confirms its correctness and indicates a prevalence in explaining mathematical derivations. When using the phrase, clarity is paramount, especially in specifying the variables involved. Alternatives such as "obtained by multiplying" or "calculated by multiplying" can be used interchangeably depending on the nuance desired. Despite its proper structure and frequent use, be mindful of the mathematical context where multiplication might be just one step in a more complex calculation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

obtained by multiplying

Replaces "derived" with "obtained", a direct synonym, maintaining the same mathematical context.

calculated by multiplying

Substitutes "derived" with "calculated", emphasizing the computation aspect.

determined by multiplying

Replaces "derived" with "determined", focusing on the outcome of the multiplication.

found by multiplying

Uses "found" instead of "derived", suggesting a discovery process through multiplication.

computed by multiplying

Similar to "calculated", but with a slightly more technical connotation.

resulting from multiplying

Focuses on the multiplication as the cause of a specific result.

as a product of multiplication

Rephrases to emphasize the end result of the process as a product.

through multiplication

Condenses the phrase, implying derivation through the act of multiplying.

product of multiplying

Highlights the multiplicative process as a means to achieve a product.

as a result of multiplying

Similar to "resulting from", emphasizing the outcome of the mathematical operation.

FAQs

How do I use "derived by multiplying" in a sentence?

Use "derived by multiplying" when explaining how a value is calculated through multiplication. For instance, "The area of the rectangle is "derived by multiplying" its length by its width."

What are some alternatives to "derived by multiplying"?

You can use alternatives like "obtained by multiplying", "calculated by multiplying", or "determined by multiplying" depending on the specific context.

Is it correct to say "obtained through multiplication" instead of "derived by multiplying"?

Yes, "obtained through multiplication" is a correct and semantically similar alternative to "derived by multiplying". The choice depends on stylistic preference.

What's the difference between "calculated by multiplying" and "derived by multiplying"?

"Calculated by multiplying" emphasizes the computational aspect, while "derived by multiplying" focuses on how a result or value is obtained. They are often interchangeable, though "calculated by multiplying" might be preferred in technical contexts.