coefficient of rate

USAGE SUMMARY

The phrase "coefficient of rate" is not standard in written English and may cause confusion.
It could be used in contexts related to mathematics or statistics, but it is not commonly recognized. Example: "The coefficient of rate in this analysis indicates the relationship between the variables."

Science

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

If the evolutionary rates between the original (λ1) and duplicate (λ2) stay the same or change proportionally over time, the coefficient of rate correlation (rλ) between them will be 1.

Plosone

Under a lognormal relaxed clock, the coefficient of rate variation was estimated to be 0.752 955% C.I., 0474-1.007), indicathat thet the intron data was not strictly clock-like and relaxed clock was appropriate.

BMC Evolutionary Biology

For both the full alignment and the gap-free alignment, the empirically determined JTT substitution matrix [ 57] outperformed other substitution matrices, and incorporating rate variation among sites significantly improved the model (the shape coefficient of the Gamma distribution, α =.837; the coefficient of rate variation among sites = 1/α1/2 = 1.093).

BMC Evolutionary Biology

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Results have shown a decreasing trend of α from 0.09 to 0.04 h−1 after about 1.2 m of filtration for the investigated sand, whereas new solutions provide two scale-invariant tracer coefficients of rate of tracer mass-transfer (0.004 ± 0.005 h−1) and of tracer time delay (1.19 ± 0.01).

Journal of Contaminant Hydrology

Coefficients of rate variation.

BMC Evolutionary Biology

Indeed, the coefficients of rate variation estimated under the two relaxed clocks deviate far from zero (Additional file 1: Table S6).

BMC Evolutionary Biology

Indeed, we found that the coefficients of rate variation estimated under the two relaxed clock models do not deviate very far from zero (Additional file 1: Table S6).

BMC Evolutionary Biology

Another assumption made concerns the trade-off specified between oncogene activation rate (u0), TSG inactivation rate (u1), and the multiplicative coefficient of birth rate.

Evolutionary Applications

To avoid these influences, a fixed energy threshold S set is necessary, which is defined as follows: {S}_{set}= j{k}_{rel}{k}_i{k}_u (11 where k rel is the reliable coefficient; k i and k u are the proportional coefficients of rated current and rated voltage, respectively.

Protection and Control of Modern Power Systems

The coefficient of consolidation (rate of consolidation) was 2.2×10−5 cm2/s and the coefficient of secondary strain (steady-state creep rate) was 1.9%.

Journal of Biomechanics

It has been shown that the temperature coefficient of transformation rate, e.g. of crystal growth, is obtainable by the analysis.

Polymer

Expert writing Tips

Best practice

Consider using the more common term "rate coefficient" for clarity and better acceptance in scientific writing.

Common error

Avoid using "coefficient of rate" as a vague substitute for related concepts like "correlation coefficient" or "proportionality constant" in general contexts. It specifically relates to a scaling factor influencing a rate. Use alternative formulations when the meaning does not strictly refer to a rate.

Linguistic Context

The phrase "coefficient of rate" functions primarily as a noun phrase, serving to identify or describe a quantifiable factor influencing the speed or extent of a particular process. Based on Ludwig, the phrase appears most commonly in scientific literature. As Ludwig AI suggests, there exist more common phrases such as "rate coefficient".

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "coefficient of rate" is a noun phrase primarily used in scientific contexts to describe a quantifiable factor affecting the speed or extent of a process. While grammatically acceptable, Ludwig AI suggests that the term ""rate coefficient"" is more commonly used. It serves to quantify and explain the impact of specific variables, reflecting a formal and scientific register. The infrequent usage of this term suggests that in many cases "scaling factor for rate" and "rate factor" could be used alternatively.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

rate coefficient

Reverses the order of the words. It's more common, especially in scientific literature.

rate factor

Replaces "coefficient" with "factor", suggesting a scaling element affecting the rate.

proportionality factor for rate

Specifies that the coefficient represents proportionality related to a rate.

scaling factor for rate

Highlights that the coefficient scales the rate.

rate constant

More specific, often used in chemistry to describe the rate of a reaction.

rate variable

Suggests the coefficient is a variable influencing rate, not necessarily a constant.

adjustment factor for rate

Indicates the coefficient adjusts or modifies the rate.

measure of rate

This alternative is vague and less precise than "coefficient of rate".

index of rate

Replaces "coefficient" with "index", suggesting a value indicating the level or magnitude of the rate.

parameter affecting rate

Broadly describes the coefficient as one parameter that affects the rate.

FAQs

What does "coefficient of rate" mean in scientific research?

In scientific research, "coefficient of rate" refers to a factor that quantifies the effect of a particular variable on the rate of a process. It's a measure of how much the rate changes in response to a change in that variable. For clarity, consider using "rate coefficient" instead.

Is it better to say "coefficient of rate" or "rate coefficient"?

While both phrases are technically correct, ""rate coefficient"" is more commonly used and readily understood in scientific literature. It's generally recommended for clarity and acceptance.

How do I calculate the coefficient of rate in an experiment?

The calculation of a "coefficient of rate" depends heavily on the specific experiment and the variables involved. It usually involves measuring the rate of a process under different conditions and determining how much the rate changes with each condition. A "proportionality factor for rate" can be helpful in this context.

What are some examples of "coefficient of rate" in different fields?

The specific meaning of "coefficient of rate" varies depending on the field. In chemistry, it might refer to a rate constant in a reaction. In finance, it could relate to the effect of interest rates on investment growth. In ecology, it can refer to birth and death rates. Understanding the field is crucial. Consider the more common "rate factor" for a broader applicability.