are created by multiplying

USAGE SUMMARY

The phrase "are created by multiplying" is correct and usable in written English.
You can use it when explaining how certain values or results are derived through multiplication in mathematical or scientific contexts. Example: "The total revenue figures are created by multiplying the number of units sold by the price per unit."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

The two-dimensional cosine basis functions from which sample waveforms are composed are created by multiplying a horizontally oriented set of one-dimensional 8-point basis functions by a vertically oriented set of the same functions.

Stanford University

The output signals of PF-ICA are created by multiplying separation matrix by observed signals.

EURASIP Journal on Audio, Speech, and Music Processing

Voices corresponding to different vocal tract sizes are created by multiplying the formant central frequencies by the same factor.

EURASIP Journal on Audio, Speech, and Music Processing

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

TCFF was created by multiplying the frequency with the feeling value.

Journal of Modern Transportation

The forward backward message is created by multiplying each corresponding forward and backward message value for each (k,m) pair, and normalizing the results as before.

EURASIP Journal on Advances in Signal Processing

In Experiment 2, the transient templates were created by multiplying the ERPs obtained from the jittered conditions by a Gaussian function with a standard deviation of 50 ms and centered at 100 ms. This adjustment was necessary to minimize the influence of the ERPs elicited by preceding and forthcoming stimuli.

Plosone

An interaction term was created by multiplying country of origin by the independent variable of interest.

Alcohol and Alcoholism

Additionally, an interaction term between both variables was created by multiplying the centred variables.

BioMed Research International

Interaction variables were created by multiplying independent variables with diabetes type.

Health and Quality of Life Outcomes

To evaluate modification by sex, a 1st order interaction term was created by multiplying depressive symptoms status with sex.

BMC Psychiatry

For these analyses, interaction terms will be created by multiplying the effect of the intervention by the moderator variable of interest.

BMC Public Health

Expert writing Tips

Best practice

When using "are created by multiplying", ensure the context clearly defines the quantities being multiplied and the resulting entity. This promotes clarity and avoids ambiguity.

Common error

Avoid using "are created by multiplying" when the process involves more complex operations than simple multiplication. If other operations are involved, clarify all steps.

Linguistic Context

The phrase "are created by multiplying" functions as a passive verb phrase, indicating a process by which certain entities or values are produced. Ludwig AI confirms its correctness and usability, particularly in mathematical and scientific contexts.

Expression frequency: Rare

Frequent in

Science

67%

Academia

33%

News & Media

0%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "are created by multiplying" is a grammatically sound and functional passive construction, primarily used to articulate how certain results or values are derived through the mathematical process of multiplication. Ludwig AI confirms its correctness, especially within scientific and academic domains. While relatively rare in broader contexts, its specific usage makes it highly valuable when precision is key. Ensure clarity by explicitly defining the quantities being multiplied to avoid any ambiguity. Alternatives such as "are generated through multiplication" or "result from multiplying" can be used to add variety while maintaining semantic accuracy.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

are generated through multiplication

Replaces "created" with "generated" while maintaining the passive voice and mathematical context.

are formed by multiplication

Substitutes "created" with "formed", keeping the passive construction and mathematical implication.

result from multiplying

Changes the structure to focus on the action of multiplying as the cause.

arise from multiplication

Similar to "result from", but emphasizes the emergence of a new value.

stem from multiplying

Implies that multiplying is the origin of the result.

are derived via multiplication

Uses "derived" and specifies the method as multiplication.

are obtained by multiplying

Focuses on the process of obtaining a value through multiplying.

are produced through multiplication

Similar to "generated through multiplication", emphasizing the creation aspect.

multiplication yields

Shifts to an active voice, with multiplication as the subject producing a result.

multiplying produces

Similar to the previous one, but using a different word order

FAQs

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

You can use "are created by multiplying" to explain how a quantity or value is derived from the product of two or more other quantities. For instance, "Areas of rectangles are created by multiplying length and width".

What are some alternatives to "are created by multiplying"?

Alternatives include "are generated through multiplication", "result from multiplying", or "stem from multiplying", depending on the specific nuance you want to convey.

Is it better to use active or passive voice with "are created by multiplying"?

The choice depends on the context. The passive voice ("are created by multiplying") emphasizes the resulting quantity, while the active voice (e.g., "multiplying creates") emphasizes the process. Choose the voice that best suits the focus of your sentence.

How can I make sure my sentence using "are created by multiplying" is clear?

Ensure that the quantities being multiplied are clearly defined and that the relationship between them and the resulting quantity is unambiguous. Avoid using overly complex sentence structures that could obscure the meaning.