a root mean

USAGE SUMMARY

The phrase "a root mean" is not correct in standard written English.
It seems to be a truncated or incorrect version of "root mean square" or "root mean value," which are valid mathematical terms. Example: "To calculate the average error, we need to find the root mean square of the differences."

⚠ May contain grammatical issues

Human-verified examples from authoritative sources

Exact Expressions

43 human-written examples

A root mean square error of 0.6 °C was obtained.

Energy and Buildings

Human trajectories were estimated with a root mean square error of less than 0.2 m.

Robotics and Autonomous Systems

A root mean square error of nearly 0.37 for the validation set was obtained.

Talanta

However, the difference between predicted and measured delays has a root mean square error in the excess of 30 cm.

Advances in Space Research

A root mean square (rms) error is employed as an indicator of the level of the statistical fluctuations.

Journal of Computational Physics

The optimised model was able to predict fruit surface temperature with a root mean square error of 2 4 °C.

Agricultural and Forest Meteorology

Human-verified similar examples from authoritative sources

Similar Expressions

17 human-written examples

Fitting a one-factor model to the data produced a root mean-square residual statistic of.048.

BMC Psychiatry

A root-mean-square phase stability of 4 mrad.

Optics & Laser Technology

Atomic force microscopy analysis of the etched surface reveals a root-mean-square roughness of 3.6 nm.

Thin Solid Films

Results show comparable performance of both approaches where a root-mean-square error of 87 ppm was found.

Geoderma

Additionally, coalescence results in films of 3 µm thickness having a root-mean-square roughness of 8 to 10 nm.

Thin Solid Films

Expert writing Tips

Best practice

Always use the complete term "root mean square" or its abbreviation "RMS" to ensure clarity and avoid grammatical errors.

Common error

Avoid using incomplete phrases like "a root mean". Always specify the complete term such as "root mean square" or "RMS" to maintain accuracy and clarity in technical writing.

Linguistic Context

The phrase "a root mean" is grammatically incomplete and does not function as a standard term. It seems to be missing the word "square". Ludwig AI highlights that "root mean square" (RMS) is the correct term.

Expression frequency: Missing

Frequent in

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Less common in

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Ludwig's WRAP-UP

In summary, the phrase "a root mean" is grammatically incorrect and should not be used. As Ludwig AI indicates, the proper term is "root mean square" (RMS), which is a statistical measure used across various fields such as science, engineering, and statistics. Always use the complete term to avoid confusion and ensure clarity in your writing. Alternatives like "rms value" or "quadratic mean" can also be used depending on the context. Remember to specify "square" to maintain accuracy.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

root mean square

Adds the word "square" to complete the standard statistical term.

rms value

Replaces "mean" with "rms", an abbreviation for root mean square, providing a concise alternative.

quadratic mean

Uses "quadratic mean" as a synonym for root mean square.

root mean square error

Specifies "error" to indicate a measure of statistical dispersion.

average magnitude

Replaces the mathematical term with a more general description of magnitude.

effective value

Uses "effective value" to describe the overall magnitude of a varying quantity.

overall magnitude

Describes the general magnitude without referring to a statistical measure.

mean absolute value

Describes the average of the absolute values. It is different than root mean square, but still an average value.

statistical average

Uses a general term to refer to any statistical measure of central tendency.

typical size

Describes the typical or representative size of a set of values.

FAQs

What is the correct way to use "root mean" in a sentence?

The phrase "root mean" is incomplete. You should use the complete term "root mean square" (RMS) when referring to the statistical measure. For example, "The "root mean square" error was calculated to assess the model's accuracy."

What does "root mean square" actually mean?

Root mean square (RMS) is a statistical measure of the magnitude of a varying quantity. It's calculated as the square root of the mean of the squares of a set of values. In simpler terms, it provides an "average" magnitude, useful in various fields like engineering and physics.

Can I use "average" instead of "root mean square"?

While "average" can sometimes be used as a general substitute, "root mean square" provides a specific type of average that's particularly useful when dealing with quantities that can be both positive and negative. A simple arithmetic average might cancel out positive and negative values, whereas the "root mean square" always yields a positive result, representing the overall magnitude.

What are some contexts where "root mean square" is commonly used?

"Root mean square" is frequently used in statistics, engineering, and physics to quantify the magnitude of varying quantities. Examples include calculating the RMS voltage in electrical circuits, the RMS speed of gas molecules, and the "root mean square error" in statistical models.