open problems

USAGE SUMMARY

The phrase "open problems" is correct and usable in written English.
It refers to problems or issues that have not yet been resolved or fully understood. One can use this phrase in various contexts, such as in academic or scientific writing, to discuss ongoing areas of research or debate. For example: - "One of the open problems in neurobiology is understanding the mechanisms behind memory formation." - "In economics, income inequality remains an open problem with no clear solution." - "The company's success has led to new challenges and open problems in terms of managing growth and maintaining customer satisfaction."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Open Problems.

University of California, Berkeley

Open problems in set theory.

Stanford University

Related results and open problems are included.

Journal of Functional Analysis

Further complements and open problems are discussed.

Journal of Functional Analysis

Commented open problems conclude the article.

Journal of Functional Analysis

Instructors will also outline open problems.

Princeton University

Some open problems will also be proposed.

IFAC Proceedings Volumes

Several open problems are equally mentioned.

IFAC Proceedings Volumes

Finally several important open problems are stated.

IFAC Proceedings Volumes

We finally point out open problems.

Discrete Applied Mathematics

Fenlon, E. E. Open problems in chemical topology.

Nature

Expert writing Tips

Best practice

When discussing "open problems", clearly define the specific problem and its context to avoid ambiguity. Providing background information and potential approaches can enhance understanding.

Common error

Avoid using "open problems" as a vague placeholder for unexplored topics. Instead, specify the precise questions or challenges that remain unresolved.

Linguistic Context

The phrase "open problems" primarily functions as a noun phrase, typically used as the subject or object of a sentence. Ludwig AI confirms this through numerous examples where it identifies topics needing solutions or further investigation.

Expression frequency: Very common

Frequent in

Science

50%

Academia

45%

Formal & Business

5%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "open problems" is a grammatically sound and frequently used phrase, primarily within scientific and academic domains, to denote unresolved issues requiring further investigation. According to Ludwig AI, which analyzed numerous examples, the phrase serves to identify, categorize, and highlight areas needing innovative solutions or research efforts. While alternatives like ""unresolved issues"" or ""outstanding questions"" exist, "open problems" maintains a specific connotation within formal and technical contexts. Therefore, clearly defining the problem's context when using this phrase is crucial to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

unresolved issues

Focuses on the lack of resolution rather than the nature of the problem.

outstanding questions

Highlights the interrogative nature of the problems.

unanswered questions

Emphasizes the lack of answers or solutions.

challenges

Broader term that encompasses both problems and opportunities.

unsettled matters

Suggests issues that are still under debate or investigation.

current dilemmas

Focuses on the problematic and difficult nature of the situations.

research gaps

Specifically refers to areas where further research is needed.

areas for improvement

Suggests a focus on refining or enhancing existing solutions.

future directions

Highlights potential avenues for exploration and development.

pending tasks

Emphasizes the incomplete nature of assignments or duties.

FAQs

How can I use "open problems" in a sentence?

You can use "open problems" to refer to unresolved issues or challenges in a specific field. For example, "Addressing these "open problems" requires interdisciplinary collaboration."

What are some alternatives to "open problems"?

Alternatives include "unresolved issues", "outstanding questions", or "research gaps", depending on the specific context.

Is it correct to say "opening problems" instead of "open problems"?

No, "opening problems" suggests initiating problems, whereas ""open problems"" refers to problems that have not yet been solved. They have opposite meanings.

What is the significance of identifying "open problems" in research?

Identifying ""open problems"" helps focus research efforts, encourages innovation, and highlights areas where further investigation is needed to advance knowledge.