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a hierarchy of problems
Grammar usage guide and real-world examplesUSAGE 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
Alternative expressions(1)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
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.
Science
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.
Science
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.
Science
Our aim is to extend the results obtained in [10, 11] by establishing a hierarchy of difference boundary value problems.
Science
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.
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.
Source & Trust
80%
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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.
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.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
a prioritized list of problems
Replaces 'hierarchy' with 'prioritized list', focusing on the ranking aspect.
a structured set of issues
Emphasizes the organization rather than the ranking of the problems.
a ranked order of challenges
Substitutes 'problems' with 'challenges' and 'hierarchy' with 'ranked order'.
an ordered arrangement of difficulties
Uses more formal language, replacing 'problems' with 'difficulties' and 'hierarchy' with 'ordered arrangement'.
a system of problem priorities
Focuses on the system or method used to prioritize the problems.
a ladder of concerns
Metaphorically represents problems as steps on a ladder, implying a sequence.
a stratification of issues
Uses the term 'stratification' to highlight the layering or levels of the problems.
a chain of problems
Implies that the problems are linked together in a sequence.
a taxonomy of problems
Replaces "hierarchy" with "taxonomy", highlighting the classification of problems based on their nature or severity.
a pecking order of problems
Uses the idiom 'pecking order' to suggest a dominance-based ranking of the problems.
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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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
80%
Authority and reliability
4.5/5
Expert rating
Real-world application tested