multiply by a coefficient of

USAGE SUMMARY

The phrase "multiply by a coefficient of" is correct and usable in written English.
It can be used in mathematical or scientific contexts when discussing the process of scaling a quantity by a specific factor. Example: "To find the new value, you need to multiply by a coefficient of 2.5."

✓ Grammatically correct

Science

Wiki

News & Media

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

These data are multiplied by a coefficient of 0.962.1   2.

Journal of Economic Structures

The vehicles were graded based upon a five-point scale for each test, which would be multiplied by a coefficient of importance for each test.

Wikipedia

While there are variations to the formula, they all in essence treat boarding and alighting as a linear period of time multiplied by a coefficient representative of how much passengers have been slowed down by the circumstances of other passengers, width of the doors and if they are carrying belongings [5].

Urban Rail Transit

As blood contains plasma, PBMCs, and PMNs, azithromycin concentrations in blood were modeled as the sum of concentrations in each compartment multiplied by a coefficient representing the fraction of blood occupied by plasma, PBMCs, and PMNs, respectively: [Blood] = A[Comp1] + B[Comp2] + C[Comp3].

CPT: Pharmacometrics and Systems Pharmacology

Coronary arterial calcification score was assessed by obtaining the sum of each CT slice's area of calcification multiplied by a coefficient based on the peak CT number (Agatston score).

BMC Pulmonary Medicine

Their scores are then multiplied by a coefficient determined by the dive's degree of difficulty, which range from the lowly 1.3 to the presumably life-threatening 3.6.

The New York Times - Sports

If one multiplies coefficients by these differences, the potential impact of the HHI is equal to a coefficient of approximately 0.004 to 0.05 points on the CQI which varies in our dataset between 2.97 and 3.88.

BMC Health Services Research

Since the UI series tends to be lower than the CPS series, I rescale it, multiplying by the coefficient of the CPS series in a regression of the UI series between 1976 and 1982 on the CPS series of the same year and constant.

IZA Journal of Labor Economics

Percentage control of variability was calculated using a coefficient of determination (r) multiplied by 100.

Ecological Entomology

Estimated costs values were multiplied by the coefficient of gross domestic product (GDP) for 2010 divided by the GDP of the particular year of the study, and then divided by the PPP conversion factor for 2010.

Health Economics Review

Table 3 Stream flow calibration results for sub-hourly 15-min time step SWAT model Variable Value p factor 56% r factor 0.54 Coefficient of determination (R 2) 0.78 Nash Sutcliffe (NS) 0.78 The coefficient of the regression line multiplied by the coefficient of determination (b R 2) 0.6423 Mean squared error (MSE) 0.0035 Sum of square of residual (SSQR) 0.0005.

Applied Water Science

Expert writing Tips

Best practice

When using "multiply by a coefficient of", ensure the context clearly defines what the coefficient represents. This makes the mathematical operation and its purpose understandable to the reader.

Common error

Avoid using "multiply by a coefficient of" without specifying the units associated with the coefficient. Failing to do so can lead to misinterpretations and incorrect calculations. Always clarify the coefficient's units for clarity.

Linguistic Context

The phrase "multiply by a coefficient of" functions as a mathematical operator, indicating the action of scaling a value. Ludwig examples show its use in various scientific and technical contexts.

Expression frequency: Missing

Frequent in

Science

40%

News & Media

20%

Wiki

20%

Less common in

Formal & Business

5%

Encyclopedias

5%

Social Media

10%

Ludwig's WRAP-UP

The phrase "multiply by a coefficient of" is a grammatically correct and usable expression, primarily employed in mathematical and scientific contexts to describe the scaling of a value by a specific factor. Despite having a low frequency of explicit examples in the provided data, the phrase's function as a mathematical operator is clear. Ludwig indicates its applicability across varied scientific and technical documentation. When using this phrase, ensure that the coefficient's units are clearly defined to prevent misinterpretations. Alternatives include "scale by a factor of" or "apply a coefficient of", offering slight variations in emphasis. Considering its application across Science and News & Media, understanding its register, function and common applications enables its correct application.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

multiply by a constant of

This alternative uses "constant" which is semantically similar to "coefficient", highlighting the unchanging nature of the multiplier.

scale by a factor of

This alternative uses "scale" instead of "multiply" and "factor" instead of "coefficient", focusing on the scaling aspect.

multiply using a factor of

Similar to "scale by a factor of", but retains the verb "multiply".

apply a coefficient of

This phrase focuses on the application of the coefficient, rather than the multiplication process itself.

multiply by the factor

A more concise way to refer to the multiplying value.

increase by a multiplier of

This phrase emphasizes the increase resulting from the multiplication, using "multiplier" as a synonym for "coefficient".

use a coefficient of

This is a simpler way of saying that you are using a coefficient to multiply something.

apply a scaling factor of

Replaces coefficient with the more descriptive term, scaling factor.

adjust by a coefficient of

This phrase is suitable when the multiplication serves to adjust a value.

multiply by a scaling value of

Highlights that the coefficient represents a particular value for scaling

FAQs

How do I correctly use "multiply by a coefficient of" in a sentence?

Use "multiply by a coefficient of" when you want to express that a certain value or quantity is being scaled by a specific factor. For example: "To calculate the adjusted cost, you need to multiply the original cost by a coefficient of 1.2."

What are some alternatives to "multiply by a coefficient of"?

You can use alternatives such as "scale by a factor of", "increase by a multiplier of", or "apply a coefficient of" depending on the specific context.

Is there a difference between "multiply by a coefficient of" and "multiply by a factor of"?

While similar, "coefficient" is often used in more technical or scientific contexts, while "factor" is more general. However, in many cases, they are interchangeable.

When is it appropriate to use "multiply by a coefficient of"?

It's appropriate in situations where you are scaling a quantity by a specific, usually dimensionless, number. This is common in mathematical models, scientific calculations, and engineering applications.