by an integer multiple

USAGE SUMMARY

"by an integer multiple" is a correct and usable phrase that can be used in written English.
Example sentence: The profits from the sale were divided by an integer multiple to ensure an even distribution amongst shareholders.

✓ Grammatically correct

Science

Encyclopedias

Wiki

News & Media

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

The i-th component MPC code computes its j-th redundancy bit, with j=1,…,r i, as the EX-OR of the codeword bits whose indexes are smaller than j by an integer multiple of r i.

EURASIP Journal on Wireless Communications and Networking

Therefore, increasing by an integer multiple the number of branches checked does not lead to an abrupt increase in computation time, which facilitates batch scanning analysis in large-scale systems.

Journal of Modern Power Systems and Clean Energy

As shown in the paper, if the sampling period is increased by an integer multiple, the optimal parity space index and the optimal H2/H2 index will degrade, but the optimal H-/H∞ index will become better.

IFAC-PapersOnLine

In Figure 3B, the two detectable peaks are not at frequencies related by an integer multiple.

BMC Systems Biology

An important consequence of this phenomenon is that interference fringes can be observed when the sample and reference arm are mismatched by an integer multiple of the laser cavity length.

Biomedical Optics Express

First, we review the principles of coherence revival, wherein an interferometer illuminated by an external cavity tunable laser (ECTL) exhibits interference fringes when the two arms of the interferometer are mismatched by an integer multiple of the laser cavity length.

Biomedical Optics Express

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

The solutions to the equation ez = 1 are the integer multiples of 2πi: :\{ z : e^z = 1 \} = \{ 2k\pi i : k \in \mathbb{Z} \} More generally, if ev = w, then every solution to ez = w can be obtained by adding an integer multiple of 2πi to v: :\{ z : e^z = w \} = \{ v + 2k\pi i : k \in \mathbb{Z} \} Thus the complex exponential function is a periodic function with period 2πi.

Wikipedia

Constructive interference or intensity maxima are observed on the screen at all positions whose distances from A and B differ by zero or an integer multiple of λ.

Encyclopedia Britannica

We first divide the entire array into N identical subarrays, each with P sensors and equally separated by Δ,a which is an integer multiple of sensor spacing.

EURASIP Journal on Advances in Signal Processing

By choosing a frequency which is an integer multiple of ω0, the combined co-array positions are guaranteed to be integer multiples of d0.

EURASIP Journal on Advances in Signal Processing

The idea is to match the bandwidth of one sub-band with an integer multiple of the carrier spacing, Δ, used by the opportunist transmitter.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "by an integer multiple", ensure the context clearly indicates what is being multiplied. Precision in mathematical or numerical contexts is crucial for clarity.

Common error

Avoid using "by an integer multiple" in contexts where the underlying concept isn't related to multiplication or scaling. This phrase has a specific mathematical meaning and should be used appropriately.

Linguistic Context

The phrase "by an integer multiple" functions as a prepositional phrase, modifying a verb or noun to indicate the type of scaling or proportion being described. Ludwig AI confirms this phrase is grammatically sound and fit for use.

Expression frequency: Uncommon

Frequent in

Science

60%

Encyclopedias

15%

Wiki

15%

Less common in

News & Media

10%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "by an integer multiple" serves as a prepositional phrase, most commonly employed in formal and scientific contexts to denote scaling by a whole number. As indicated by Ludwig AI, the phrase is grammatically sound and appropriate for use. While not exceedingly common, it finds frequent application within science, encyclopedias and wiki-based documentation. When using this phrase, ensure the context demands the level of mathematical precision it provides. Alternatives such as "a whole number multiple" or "scaled by an integer" may offer simpler options depending on the intended audience and degree of formality. Be mindful of restricting its use to situations genuinely involving multiplication or scaling.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

an integral multiple of

Uses the more formal term "integral" to mean integer.

as a whole number multiple

Changes the preposition and simplifies "integer" to "whole number".

in integer multiples

Rephrases the prepositional phrase to specify the nature of the multiples.

multiplied by a whole number

Simplifies "integer" to "whole number" and uses a more common term.

scaled by an integer

Uses "scaled" to imply multiplication and simplifies the phrase.

a product of an integer

Emphasizes the result of multiplication by an integer.

proportional to an integer

Focuses on the proportional relationship involving an integer.

increased by a factor of an integer

Focuses on the increase and explicitly mentions a factor.

in increments of an integer

Highlights the step-by-step increase using integers.

quantified by an integer multiple

Highlights that the values are being quantified and are related by multiples of an integer.

FAQs

How can I use "by an integer multiple" in a sentence?

Use "by an integer multiple" to describe a quantity that is scaled or incremented by a whole number. For example, "The frequency increased "by an integer multiple" of 5 Hz".

What does "by an integer multiple" mean?

"By an integer multiple" means that a value is increased or decreased by a factor that is a whole number. This implies a discrete, rather than continuous, change.

Are there simpler ways to express "by an integer multiple"?

Yes, depending on the context, you could use phrases like "a whole number multiple", "scaled "by an integer"", or "a factor of an integer".

What is the difference between "by an integer multiple" and "by a real number multiple"?

"By an integer multiple" implies scaling only by whole numbers, while "by a real number multiple" allows for scaling by any number, including fractions and irrational numbers. Therefore, "by an integer multiple" restricts the scaling to discrete steps.