a sequence of means

USAGE SUMMARY

The phrase "a sequence of means" is correct and usable in written English.
It can be used when discussing a series of methods or tools employed to achieve a particular goal or outcome. Example: "In order to improve productivity, we implemented a sequence of means that included training sessions, new software, and regular feedback."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Let { μ n } be a sequence of means on l ∞.

Fixed Point Theory and Applications

The real sequence is a sequence of means on if.

Fixed Point Theory and Applications

Let be a sequence of means on such that as for all and let for each.

Fixed Point Theory and Applications

In [19], Rodé also found a sequence of means on a semigroup generalizing the Cesàro means and extended Baillon's theorem.

Fixed Point Theory and Applications

The iteration process (3.1) is subject to a forcing term generated by a set of Lipschitzian mappings where is a sequence of means on, with the subset (defined in Definition 3.5 below) containing unity, where is the Banach space of all bounded functions on endowed with the supremum norm, such that where is the dual of.

Fixed Point Theory and Applications

where P C is a metric projection of H onto C, B is β-inverse strongly monotone, φ = {T t : t ∈ S} is a nonexpansive semigroup on H such that the set F = F i x ∩ V I ( C, B ) ≠ ∅,, X is a subspace of B(S) such that 1 ∈ X and the mapping t → 〈T t x, y〉 is an element of X for each x, y ∈ H, and {μ n } is a sequence of means on X.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Let ({X_{n}, ngeq1}) be a sequence of mean-zero m-AANA random variables with mixing coefficients ({ q(n), ngeq1}).

Journal of Inequalities and Applications

Let be a sequence of mean zero -mixing random variables satisfying and let be a nondecreasing unbounded sequence of positive numbers.

Journal of Inequalities and Applications

Proposition 2 of Newman and Wright [3] shows that the partial sum of a sequence of mean zero associated random variables is a demimartingale.

Journal of Inequalities and Applications

Theorem 3.2 Let { X n, n ≥ 1 } be a sequence of mean zero random variables, which is stochastically dominated by a random variable X.

Journal of Inequalities and Applications

Note that { a i ( X i ( c i ) − E X i ( c i ) ), i ≥ 1 } is a sequence of mean zero ψ-mixing random variables.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "a sequence of means", clearly define what each 'mean' represents within your specific context to avoid ambiguity. For example, specify if you are discussing arithmetic means, geometric means, or other types of averages.

Common error

A common mistake is using "a sequence of means" without clarifying the type of mean being discussed. Ensure you explicitly state the type of mean (e.g., arithmetic, geometric, harmonic) relevant to your analysis to prevent misinterpretation.

Linguistic Context

The phrase "a sequence of means" functions as a noun phrase that describes a series or progression of calculated averages. It is primarily used in analytical and descriptive contexts. As Ludwig AI indicates, the phrase is grammatically correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "a sequence of means" is grammatically correct and serves to describe a series of average values, typically within analytical or scientific contexts. Ludwig AI confirms its usability in written English. While the phrase isn't overwhelmingly common, appearing more frequently in the Science domain, it provides a precise way to refer to a series of calculations and their results. When employing this phrase, it is important to clarify the type of "mean" being referred to for clarity. Alternative phrases include "a series of averages" or "a progression of methods", which can be used depending on the nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a series of averages

Replaces "means" with its direct synonym "averages", maintaining the core meaning of a sequential calculation.

a progression of methods

Substitutes "sequence" with "progression" and "means" with "methods", focusing on the step-by-step nature of the approach.

a chain of calculations

Emphasizes the computational aspect by using "calculations" instead of "means", highlighting the mathematical process.

a succession of techniques

Replaces "sequence" with "succession" and "means" with "techniques", implying a series of procedures.

an ordered set of averages

Highlights the organized nature of the means by specifying them as an "ordered set"

a staged process of averaging

Focuses on the phased implementation of averaging techniques.

a collection of mean values

Emphasizes the plurality and compilation of different mean values.

a systematic array of averages

Highlights both the order and method of the averaging process.

a continuous stream of averages

Implies an ongoing and uninterrupted calculation of averages.

a gradual series of measures

Focuses on the incremental nature and assessment aspect using the term "measures".

FAQs

How can I use "a sequence of means" in a sentence?

You can use "a sequence of means" to describe a set of average values calculated over time or across different categories. For example, "The study analyzed a sequence of means to identify trends in student performance."

What are some alternatives to "a sequence of means"?

Alternatives include "a series of averages", "a progression of methods", or "a chain of calculations", depending on the specific context. Consider alternatives like "a series of averages" or "a progression of methods".

In what contexts is "a sequence of means" commonly used?

"A sequence of means" is frequently employed in statistical analysis, mathematical modeling, and scientific research to describe a series of calculated average values or methods used to obtain these values.

What does "a sequence of means" refer to?

The phrase "a sequence of means" typically refers to a series of average values computed through specific methods. The term "means" in this context usually refers to arithmetic means, but depending on the context it could refer to geometric or harmonic means.