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a hierarchy of problems

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "a hierarchy of problems" is correct and usable in written English.
It can be used when discussing the organization or prioritization of issues, often in contexts like problem-solving, project management, or analysis. Example: "In our analysis, we identified a hierarchy of problems that need to be addressed, starting with the most critical issues first."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Develop a hierarchy of problems encountered.

Step – step arrangement that used in AHP method follows: 1. Develop a hierarchy of problems encountered.

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

In this approach, the target learning problem is decomposed into a hierarchy of smaller problems.

The method employs a hierarchy of optimization problems defined on different representation levels.

Also, a hierarchy of optimization problems are formulated, and they are solved successively from the coarsest level to the finest level.

The importance of obtaining a transformed equation of exactly the same form as the original equation, is that ultimately we will (in a sequel to the current paper) use these transformations to establish a hierarchy of boundary value problems with (1.1) and various boundary conditions; see [4] for the differential equations case.

In particular we show, using one of the Crum-type transformations, that it is possible to go up and down a hierarchy of boundary value problems keeping the form of the second-order difference equation constant but possibly increasing or decreasing the dependence on of the boundary conditions at each step.

An asymptotic method, valid in the limit of large Stefan number S, is used to decompose the moving boundary problem for a pure substance into a hierarchy of fixed-domain diffusion problems.

Our aim is to extend the results obtained in [10, 11] by establishing a hierarchy of difference boundary value problems.

In addition, we point out certain analogies to the work done in Currie and Love (Bound. Value Probl. 2011 743135, 2011) where the reverse Crum-type transformation was used to establish a hierarchy of difference boundary value problems.

This approach decomposes the original problem into a hierarchy of more easily comprehended sub-problems, each of which can be analyzed independently.

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Expert writing Tips

Best practice

When presenting "a hierarchy of problems", clearly define the criteria used for ranking or prioritizing them. This ensures transparency and facilitates effective problem-solving.

Common error

Avoid simply listing problems in a hierarchical order without explaining the rationale behind the arrangement. Providing clear justification for the hierarchy enhances its credibility and usefulness.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

80%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "a hierarchy of problems" functions as a noun phrase. It identifies and categorizes a collection of problems structured in a specific order, usually based on importance or urgency. Ludwig AI confirms its correct usage in various contexts.

Expression frequency: Uncommon

Frequent in

Science

34%

News & Media

33%

Formal & Business

33%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "a hierarchy of problems" is a noun phrase used to structure and prioritize a collection of issues. As Ludwig AI confirms, the phrase is grammatically correct and suitable for various contexts, particularly in science, news, and formal business settings. When using this phrase, remember to clearly define the criteria for ranking the problems to ensure transparency and facilitate effective problem-solving. Alternatives such as "a prioritized list of problems" or "a structured set of issues" can be used to convey similar meanings with slight variations in emphasis. The key is to justify the hierarchy and explain the rationale behind the arrangement to enhance credibility and usefulness.

FAQs

How can I effectively use "a hierarchy of problems" in project management?

Using "a hierarchy of problems" in project management involves identifying all potential issues, then categorizing and prioritizing them based on their impact on the project's goals and timeline. Addressing the most critical issues first can prevent minor problems from escalating.

What are some alternatives to "a hierarchy of problems"?

You can use alternatives like "a prioritized list of problems", "a structured set of issues", or "a ranked order of challenges" depending on the specific context.

What is the significance of establishing "a hierarchy of problems"?

Establishing "a hierarchy of problems" allows for a systematic approach to problem-solving by focusing resources on the most impactful issues first. It also provides a clear framework for decision-making and resource allocation.

How does "a hierarchy of problems" differ from a simple list of problems?

While a list of problems simply identifies issues, "a hierarchy of problems" arranges them in a specific order based on criteria such as urgency, impact, or severity. This structured approach facilitates more effective problem management.

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Most frequent sentences: