an equivalent metric

USAGE SUMMARY

The phrase "an equivalent metric" is correct and usable in written English.
It can be used when discussing a measurement or standard that serves the same purpose or function as another. Example: "To assess the project's success, we need to establish an equivalent metric that accurately reflects our goals."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

The Pentagon has established an equivalent metric known as Data-to-Decision, which is dramatized in the analyses conducted by the intelligence community in the Academy Award-nominated film Zero Dark Thirty.

Harvard Business Review

Assume that there exist and an equivalent metric on such that.

Fixed Point Theory and Applications

Assume that there exists an equivalent metric on such that for every and every, (2.17).

Fixed Point Theory and Applications

Moreover, there exists an equivalent metric ρ on X that preserve some inequalities.

Fixed Point Theory and Applications

The proof of this detector formula is given in Appendix 3. The formula introduced in (12) offers an equivalent metric to the MMSE one introduced in (11), which has been shown to be near-ML performance.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

In other words, each equivalent norm of ∥ ⋅ ∥ is also a strongly equivalent metric, and each strongly equivalent metric is a topologically equivalent metric.

Advances in Difference Equations

In this paper, we propose a novel equivalent metric dealing with the association of these solutions by introducing a reduced domain neighborhood study.

EURASIP Journal on Wireless Communications and Networking

With equation (6), for any sufficiently small ε ∈ ( 0, 1 − Lip ( T, R n ) ), there is a strongly equivalent metric d ε ∈ Ω such that L d ε ( T, R n ) ≤ Lip ( T, R n ) + ε < 1. Assume that d ε and ∥ ⋅ ∥ have the following strongly equivalent relationships: C 1 ⋅ d ε ( x, y ) ≤ ∥ x − y ∥ ≤ C 2 ⋅ d ε ( x, y ) ∀ x, y ∈ R n, (7).

Advances in Difference Equations

Wang et al. [9], Wang and Xu [11] show that system (1) is of exponential stability in D if and only if T is contractive in D with a certain strongly equivalent metric and also present a converse not only to the exponential stability of system (1) different from the Lyapunov function, but also to the Banach contraction theorem different from the ones in Meyers [12], Leader [13], Opoitsev [14].

Advances in Difference Equations

In this paper, we show that strongly equivalent metrics are a class of appropriate equivalent metric functions describing the exponential stability of system (2).

Advances in Difference Equations

Furthermore, F is contractive in E with respect to a certain strongly equivalent metric in Ω if and only if Lip ( F, E ) < 1 or L ∥ ∥ ( T m, E ) < 1 holds for a positive integer m.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "an equivalent metric", ensure that the equivalence is clearly defined and justified. Explain why the chosen metric accurately reflects the concept or value it's meant to represent.

Common error

Avoid using "an equivalent metric" without providing sufficient evidence or explanation for why the two metrics are considered equivalent. This can lead to confusion and misinterpretation of the data.

Linguistic Context

The phrase "an equivalent metric" functions as a noun phrase, specifically acting as a complement or object within a sentence. It identifies a measurement or standard that holds a comparable value or function to another, as supported by Ludwig examples.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

20%

Academia

20%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "an equivalent metric" is a grammatically correct noun phrase used to denote a measurement or standard that is comparable or interchangeable with another. Ludwig AI indicates it is most commonly found in science, news, and academic contexts. While the phrase is not very common, it is used to establish a basis for comparison or substitution between different measurement systems. When using this phrase, ensure that the equivalence is well-defined and justified.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a comparable metric

Changes "equivalent" to "comparable", emphasizing similarity but not necessarily exact equality.

a corresponding measure

Replaces "metric" with "measure", focusing on the act of measuring rather than the standard itself.

an analogous standard

Substitutes "equivalent" with "analogous" and "metric" with "standard", highlighting similarity in function or structure.

a parallel indicator

Uses "parallel" and "indicator" to suggest a measure that runs alongside and reflects similar information.

a matching benchmark

Emphasizes the use of a standard for comparison, using "matching" to indicate equivalence.

a similar gauge

Replaces "metric" with "gauge", implying a tool or method for measuring something.

a substitute measurement

Highlights the interchangeability of metrics, indicating one can be used in place of the other.

an alternative assessment

Changes "metric" to "assessment", focusing on the process of evaluating something.

a proxy indicator

Suggests that the metric serves as an indirect measure of the desired quantity.

a correlating factor

Emphasizes the relationship between two metrics, where one can be used to understand the other.

FAQs

How can I use "an equivalent metric" in a sentence?

You can use "an equivalent metric" to describe a measurement or standard that serves the same purpose as another. For example, "The Pentagon has established "an equivalent metric" known as Data-to-Decision."

What can I say instead of "an equivalent metric"?

You can use alternatives like "a comparable metric", "a corresponding measure", or "an analogous standard" depending on the context.

What's the difference between "an equivalent metric" and "a similar metric"?

"An equivalent metric" implies a direct and functional relationship where one metric can be used in place of another, while "a similar metric" simply means the two metrics share characteristics but may not be directly interchangeable.

In what context would I use "an equivalent metric"?

You would use "an equivalent metric" when discussing measurements or standards that are functionally the same, even if they are expressed in different units or calculated differently. This is common in scientific, engineering, and business contexts when comparing different systems or models.