changed by a factor of

USAGE SUMMARY

The phrase "changed by a factor of" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe a multiplicative change in quantity or value. Example: "The population of the city changed by a factor of three over the last decade."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

24 human-written examples

The fluctuation amplitudes changed by a factor of 3 relative to the original THz-OFF state.

Nanoscale Research Letters

During this period, the total 2 18 keV flux changed by a factor of 3 and quiescent time hardness ratio remained in the region 0.9-1.4 0.9-1.4

Advances in Space Research

For the range of spherical phantoms and tumours studied, the calibration factor changed by a factor of 3.7 (62–227 cps/MBq) and 2.5 (67–168 cps/MBq), respectively.

EJNMMI Research

For the sphere sizes investigated (volume 0.03 1.17 ml), the calibration factor varied by a factor of 3.7, whilst for the range of tumour masses in the mice (41 232 mg), the calibration factor changed by a factor of 2.5.

EJNMMI Research

(17) So if the dimension of t is changed by a factor of (lambda>0), the dimensions of x and u must vary by factors of (lambda^{1/3}) and (lambda^{-2/ 3p)}), respectivelambda^{-2/ 3pe physical equation dimensionally balanced.

Boundary Value Problems

Our results showed that for the range of tumours observed in this mouse cohort, the calibration factor to convert from counts to activity changed by a factor of 2.5, which can potentially lead to significant errors in the quantification of tumour activity, uptake and absorbed dose.

EJNMMI Research

Human-verified similar examples from authoritative sources

Similar Expressions

36 human-written examples

The etch rate of the resultant coating films was found to change by a factor of almost 1000 for various heat treatment conditions in the temperature range 600∼800°C.

Surface and Coatings Technology

The standard interpretation of the relative risk ratio is for a unit change in the independent variable, the relative risk ratio of the dependent variable m relative to the reference category is expected to change by a factor of the respective parameter estimate given that the variables in the model are held constant (Institute for Digital Research and Education [2014]).

Crime Science

Furthermore, according to the Arrhenius theorem, the pseudo first-order rate constant of a cooperative transporter complex will change by a factor of exp(−W Ci /RT) (where i = 1, 2, 3), relative to the hypothetical rate of an isolated monomeric transporter (Box 2).

Biophysics Reports

Although the coefficient of variation (COV) of this dispersion is smaller than the COV of the initial random cracks, it may be of concern to designers, as the life period of the design may change by a factor of more than 3.

International Journal of Fatigue

However, cation concentration should change by a factor of 1.5 to shift the null point by 10 mV or more.

Plosone

Expert writing Tips

Best practice

When describing changes, specify whether the change is an increase or a decrease and ensure the factor is clearly defined within the context. For example, instead of saying "The cost changed by a factor of two", specify "The cost increased by a factor of two" or "The cost decreased by a factor of two."

Common error

Avoid assuming the direction of change. Saying something "changed by a factor of X" doesn't inherently specify if it increased or decreased; always clarify the direction.

Linguistic Context

The phrase "changed by a factor of" functions as a prepositional phrase that modifies a verb, indicating the magnitude of change in a quantity. It is commonly used to express multiplicative increases or decreases, as demonstrated by Ludwig examples.

Expression frequency: Common

Frequent in

Science

97%

News & Media

1%

Encyclopedias

1%

Less common in

Wiki

1%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "changed by a factor of" is a grammatically sound and frequently utilized expression, predominantly in the realm of scientific and technical discourse. As highlighted by Ludwig, this phrase accurately conveys the degree of multiplicative change affecting a specific quantity, with variations in scale clearly explained. To ensure clarity, writers should specify whether this change represents an increase or decrease and avoid ambiguity in the base value.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

altered by a ratio of

Emphasizes the proportional relationship between the initial and final values.

varied by a proportion of

Indicates a change in proportion.

increased by a multiplier of

Focuses on multiplication as the method of change.

decreased by a divisor of

Highlights division as the method of change, specifically a reduction.

shifted by a multiple of

Emphasizes a shift or change by multiplication.

modified proportionally by

Highlights that the change is proportional.

adjusted by a coefficient of

Highlights a specific adjustment using a coefficient.

scaled by a magnitude of

Suggests the change involves scaling, either up or down.

transformed by a magnitude of

Suggests a transformation with a certain magnitude.

fluctuated by an order of

Focuses on significant changes.

FAQs

How is "changed by a factor of" used in a sentence?

This phrase is used to describe a multiplicative change in a value. For example, "The production increased changed by a factor of 3 after the new equipment was installed".

What can I say instead of "changed by a factor of"?

You can use alternatives like "increased by a multiple of", "decreased by a divisor of", or "altered by a ratio of" depending on the context.

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

No, "changed to a factor of" is not grammatically correct. The correct phrase is "changed by a factor of", which describes the multiplicative amount of change.

What's the difference between "changed by a factor of" and "increased by a factor of"?

"Changed by a factor of" is a general term that indicates the magnitude of change, whereas "increased by a factor of" specifically indicates an increase in value.