scaled by

USAGE SUMMARY

The phrase "scaled by" is correct and usable in written English.
It is typically used in mathematical, statistical, or technical contexts to indicate that a quantity has been adjusted or modified in proportion to another quantity. Example: "The data was scaled by a factor of two to normalize the results for comparison."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Denali, first ascended in 1913, is scaled by hundreds of climbers each year.

Encyclopedia Britannica

LPE is also scaled by 1000.

Health Economics Review

These variables are scaled by population.

Health Economics Review

The variables were scaled by unit variance.

Journal of Cheminformatics

Waveforms are scaled by the same amplitude.

Earth, Planets and Space

Each row is scaled by Z-score.

Biophysics Reports

Municipal water demand is scaled by population growth.

Energy Transitions

*, Dimensionless quantity scaled by that of the corresponding bulk.

Nanoscale Research Letters

Each circle was scaled by 30% from the prior circle.

Cognitive Research: Principles and Implications

All variables are scaled by the conduit length (h).

Earth, Planets and Space

Note that error is scaled by the misfit.

Earth, Planets and Space

Expert writing Tips

Best practice

When using "scaled by", ensure the relationship between the quantities is clearly defined. Specify the factor or variable by which the scaling occurs to avoid ambiguity.

Common error

Avoid incorrectly assuming the default base unit. Always explicitly state the units before and after scaling to ensure clarity and prevent misinterpretations.

Linguistic Context

The phrase "scaled by" functions as a passive construction indicating that a subject has undergone a transformation proportional to another variable or factor. Ludwig confirms its common usage in diverse fields.

Expression frequency: Very common

Frequent in

Science

80%

News & Media

10%

Encyclopedias

5%

Less common in

Formal & Business

3%

Reference

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, "scaled by" is a grammatically correct and frequently used phrase to indicate that a quantity has been adjusted proportionally to another. As Ludwig shows, it's commonly employed in scientific and technical writing to express clear proportional relationships. The phrase should be used with care to ensure the scaling factor is explicitly stated to avoid ambiguity. Remember to use alternatives like "adjusted according to" or "proportional to" when a more descriptive or less mathematically precise expression is desired. Ludwig’s analysis affirms its validity and provides ample real-world examples, showing the high confidence in its usage.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

adjusted according to

Focuses on adjustment based on a criterion, moving away from the strict mathematical scaling.

proportional to

Indicates a direct mathematical relationship, differing slightly from an active scaling process.

normalized against

Emphasizes the standardization of data in relation to a specific benchmark.

standardized by

Implies a transformation to a standard scale, rather than a general adjustment.

modified based on

Suggests alteration influenced by a particular condition, less mathematically precise.

weighted relative to

Highlights the assignment of importance in proportion to another factor.

calibrated with respect to

Focuses on alignment and accuracy in relation to a standard, specific to measurement.

adapted considering

Highlights changes made taking certain factors into account, broader scope.

varied in relation to

Suggests changes that occur with respect to another variable, indicating covariance.

correlated with

Emphasizes the statistical association between variables, differing from direct scaling.

FAQs

How to use "scaled by" in a sentence?

Use "scaled by" to indicate that a quantity has been adjusted proportionally to another. For example, "The municipal water demand is "scaled by" population growth" or "The photograph was "scaled by" 103% to create a preceding vertebra."

What can I say instead of "scaled by"?

You can use alternatives like "adjusted according to", "proportional to", or "normalized against" depending on the specific context and the nature of the adjustment.

What does "scaled by unit variance" mean?

"Scaled by unit variance" refers to a data preprocessing technique where each variable is divided by its standard deviation, resulting in a dataset where each variable has a variance of 1. This is often used in statistical analysis to ensure that all variables contribute equally.

Is it correct to say "scaled by a factor of"?

Yes, it is correct to say "scaled by a factor of". This phrase clearly indicates that a quantity has been multiplied or divided by a specific number to adjust its size or value. For example, "The image was "scaled by a factor of" two to enlarge it."