a class of means

USAGE SUMMARY

The phrase "a class of means" is correct and usable in written English.
It can be used in contexts discussing categories or types of methods, tools, or resources that serve a particular purpose. Example: "In our study, we identified a class of means that effectively addresses the issue of resource allocation."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Section 2 displays a class of means, the so-called parameterized means that will be needed later.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

First, consider a class of parametrized means, namely, the quasi-arithmetic power mean (#_{p,alpha }) with exponent (p in[-1,1]) and weight (alpha in 0,1)), defined by A,#_{p,alpha }, B = bigl[ 1-alpha )A^{p} + alpha bigl[ 1-alpha1/p}.

Journal of Inequalities and Applications

In this paper, we investigate an approach which allows us to construct a class of new means.

Journal of Inequalities and Applications

In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on ((0,+infty)).

Journal of Inequalities and Applications

In this paper, we also introduce a class of bivariate means defined as an integral of functions, where the underlying function is just continuous and increasing on ((0,infty)), which is not restrictive and so gives much more possibilities to define new means and new mean-inequalities.

Journal of Inequalities and Applications

In particular, with m t = A t we obtain Φ ( M ( a, b ) ) = A ( Φ ( a ), Φ ( b ) ), as a special class of means known in the literature as quasi-arithmetic means.

Journal of Inequalities and Applications

Surveys and connections of the type just mentioned are provided in [1] and [2] for a very minimal set of examples of such texts, while in [6] an application (observation) concerns itself with a theory of a particular class of means which has apparently not been studied in the fashion done there by two of the authors of the present paper.

Advances in Difference Equations

The model belongs to a class of incremental mean-field theories of the first order and is suitable for general, non-monotonic loading paths.

International Journal of Solids and Structures

In this paper, we investigate the existence of homoclinic solutions for a class of prescribed mean curvature Duffing-type equations ( u ′ ( t ) 1 + ( u ′ ( t ) ) 2 ) ′ + c u ′ ( t ) + f ( u ( t ) ) = p ( t ), (1.1).

Advances in Difference Equations

In this paper, we investigate the existence and non-existence of nontrivial homoclinic solutions for a class of prescribed mean curvature equations, biggl(frac{u'(t)}{sqrt{1+ u'(t))^{2}}}biggr)'+fbigl u(t bigr)u'(t)+g bigl u(t bigr)=p t), (1.1) where (fin C R,R)), (gin C^{1}(R,R)), (pin C R,R)).

Advances in Difference Equations

(1.3) After that, based on the work of [16], Li, An, and Ge [17] studied a class of prescribed mean curvature p-Laplacian Liénard equation with two deviating arguments, biggl varphi_{p} biggl(frac{x'(t)}{sqrt{1+x^{prime2}(t)}} biggr) biggr)'+fbigl(x t bigr)x'(t)+gbigl xbigl t- tau(t bigr bigr)+hbigl xbigl t-gamma(t)bigr)bigr)=e(t).

Boundary Value Problems

Expert writing Tips

Best practice

When using "a class of means", ensure the context clearly defines the specific characteristic that groups these means together. For example, specify "a class of statistical means" or "a class of computational means".

Common error

Avoid using "a class of means" without providing sufficient context. Saying "a class of means was employed" is vague. Instead, specify what type of means were used and why they were grouped together.

Linguistic Context

The phrase "a class of means" functions as a noun phrase, typically serving as the subject or object of a sentence. It identifies a grouping or category of methods, tools, or resources used to achieve a particular end. Ludwig shows numerous examples in academic and scientific contexts.

Expression frequency: Common

Frequent in

Science

60%

News & Media

20%

Formal & Business

10%

Less common in

Encyclopedias

5%

Wiki

3%

Reference

2%

Ludwig's WRAP-UP

In summary, "a class of means" is a noun phrase used to categorize methods, tools, or resources. It is grammatically correct and frequently appears in scientific and academic contexts. As Ludwig AI suggests, the phrase functions to classify and describe related methods or tools, with the goal of bringing clarity to complex subjects. The most effective use involves providing specific context to define what unites the elements of the class. Alternatives like ""a category of methods"" or ""a set of techniques"" can be used depending on the desired level of formality and specificity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a category of methods

Replaces "class" with "category", emphasizing a broader grouping of techniques.

a type of approach

Substitutes "means" with "approach", focusing on the method or strategy employed.

a set of techniques

Uses "set" and "techniques" to convey a collection of methods for achieving a specific outcome.

a range of instruments

Replaces "means" with "instruments", highlighting the tools used to accomplish a task.

a spectrum of measures

Employs "spectrum" and "measures" to indicate a variety of actions taken to achieve a goal.

a collection of resources

Focuses on available assets by using "collection" and "resources" instead of "class" and "means".

a system of procedures

Highlights structured processes with "system" and "procedures".

a family of solutions

Uses "family" and "solutions" to suggest related but distinct ways of solving a problem.

a body of practices

Replaces "means" with "practices", emphasizing established methods.

an array of options

Focuses on the variety of choices available, using "array" and "options".

FAQs

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

You can use "a class of means" to refer to a specific group of methods or tools. For instance, "The study explored "a class of means" for improving energy efficiency in buildings".

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

Some alternatives include "a category of methods", "a type of approach", or "a set of techniques" depending on the specific context.

Is it better to use "a class of means" or "a type of means"?

Both phrases are grammatically correct, but "a class of means" often implies a more formal or scientific categorization, while "a type of means" is more general. Choose the phrase that best fits the tone and context of your writing.

What does "a class of means" typically refer to in academic writing?

In academic writing, "a class of means" usually refers to a group of methods or strategies that share a common characteristic or purpose, such as a class of statistical techniques or a class of optimization algorithms.