by an integer factor

USAGE SUMMARY

The phrase "by an integer factor" is correct and usable in written English.
It can be used in mathematical or statistical contexts to describe a multiplication or scaling effect that is based on whole numbers. Example: "The population of the city increased by an integer factor of three over the last decade."

✓ Grammatically correct

Academia

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Compresses length of vector vsrc by an integer factor.

Yale University

The stretch operator is used to describe and analyze upsampling, that is, increasing the sampling rate by an integer factor.

Stanford University

The sampling theorem is easier to show when applied to sampling-rate conversion in discrete-time, i.e., when simple downsampling of a discrete time signal is being used to reduce the sampling rate by an integer factor.

Stanford University

In analogy with the continuous-time aliasing theorem of §D.2, the downsampling theorem (§7.4.11) states that downsampling a digital signal by an integer factor produces a digital signal whose spectrum can be calculated by partitioning the original spectrum into equal blocks and then summing (aliasing) those blocks.

Stanford University

In addition, the frame rate is reduced by an integer factor L compared to the sampling rate.

EURASIP Journal on Advances in Signal Processing

BEM [18] operates by allowing a user to expand his limited bandwidth by an integer factor of α while preserving the already achieved data rate.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

In fact, we herein show that this can be done by any integer factor submultiple of M = 360, which, for VLSI systems, presents a beneficial reduction of the size of the barrel shifter.

EURASIP Journal on Wireless Communications and Networking

We found that ''stretching" a discrete-time signal by the integer factor (filling in between samples with zeros) corresponded to the spectrum being repeated times around the unit circle.

Stanford University

To assess the robustness of an algorithm involving both methods, different sensor densities are simulated by reducing the input deflection shapes by integer factors.

Measurement

In our method, we need to assume that the sampling frequencies (and the bandwidth) used by these networks are all multiple integer factor of a constant value.

EURASIP Journal on Wireless Communications and Networking

Oversampling was originally performed by integer factors, giving rise to the so-called fractionally spaced equalizers.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When using "by an integer factor", ensure the context clearly involves multiplication or scaling based on whole numbers. This phrase is most appropriate in mathematical, scientific, or technical writing.

Common error

Avoid using "by an integer factor" when the change involves fractional or decimal values. In such cases, use phrases like "by a factor of" followed by the specific decimal or fraction.

Linguistic Context

The phrase "by an integer factor" functions as an adverbial modifier, specifying the type of factor involved in a multiplication or scaling operation. As Ludwig shows, this phrase clarifies that the factor is a whole number.

Expression frequency: Uncommon

Frequent in

Science

50%

Academia

33%

News & Media

17%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "by an integer factor" is a grammatically sound and usable expression, primarily employed in mathematical, scientific, and technical contexts to denote scaling or multiplication using whole numbers. As shown by Ludwig, its usage appears most frequently in scientific and academic publications. It's important to avoid using this phrase when the factor is not an integer. Alternatives include "multiplied by an integer" or "scaled by a whole number factor", as shown in Ludwig's examples. Ludwig AI confirms the grammatical correctness of the phrase, emphasizing its specific application in quantifying changes based on whole number factors.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

multiplied by an integer

Focuses on the multiplication aspect using an integer.

altered by a whole number factor

Uses "whole number" as a synonym for integer.

scaled by an integer factor

Emphasizes the scaling aspect, suitable when the context involves resizing or changing magnitudes.

amplified by an integer coefficient

Suitable for contexts involving amplification or signal processing.

increased by an integer multiple

Highlights that the change is a multiple of an integer.

reduced by an integral factor

Uses "integral" as a formal synonym for "integer".

decreased by an integer divisor

Indicates a reduction achieved through division by a whole number.

expanded by an integer amount

Focuses on the expansion based on the number.

changed by an integer ratio

Highlights proportional relationship using integers.

compressed by a whole number

Highlights compression effect using whole number.

FAQs

How is "by an integer factor" typically used in a sentence?

The phrase "by an integer factor" is used to indicate a multiplication or scaling operation involving whole numbers. For example, "The sampling rate was reduced "by an integer factor" to reduce computational complexity."

What are some alternatives to "by an integer factor"?

Alternatives include "multiplied by an integer", "scaled by an integer factor", or "increased by an integer multiple". The best choice depends on the specific context and the nuance you want to convey.

Is it correct to say "by a factor of an integer" instead of "by an integer factor"?

Both phrases can be grammatically correct, but they have slightly different meanings. "By a factor of an integer" emphasizes that the factor itself is an integer, while "by an integer factor" emphasizes that the scaling or change is based on a whole number.

When is it inappropriate to use "by an integer factor"?

It is inappropriate when the change involves a non-integer value. For example, if something is multiplied by 2.5, you should say "by a factor of 2.5" instead of ""by an integer factor"".