instances of problems

USAGE SUMMARY

The phrase "instances of problems" is correct and usable in written English.
It can be used when referring to specific occurrences or examples of issues or difficulties that have arisen. Example: "In our recent project, we encountered several instances of problems that required immediate attention from the team."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

There is also considerable controversy as to whether it will prove possible to construct physical realizations of such models which are sufficiently robust to reliably solve instances of problems which we cannot currently solve using classical hardware.

SEP

It has been shown that metaheuristics are able to tackle instances of problems that are believed to be hard in general, by exploring usually large solution search spaces of the instances.

Journal of Industrial Engineering International

By adding the GP stage to Hamlet, the number of solved problems increases from 58%to85%5% in the blocks world and from 50%to87%7% in the logistics domain (0%to3838% and 0%to42%2% for the hardest instances of problems considered).

Artificial Intelligence

Secondly, in this study only reports of firsthand personal experiences of problems were counted as instances of problems.

BMC Psychiatry

Our report to the guideline authors identified several instances of problems with decidability and executability of individual recommendations.

BMC Medical Informatics and Decision Making

In a decision making process, these mechanisms provide the immediate, implicit access to information about relevance stored in the contexts of similar instances of problems solving.

BMC Medical Informatics and Decision Making

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Numerical results show that the DCA is efficient even for very large instances of problem.

Vietnam Journal of Computer Science

Apart from being models for analyzing in different themes, some applications are also instances of problem solving in AI.

Knowledge-Based Systems

For each class of the problem defined by given (n, m), ten instances of problem are randomly generated.

Journal of Industrial Engineering International

While the existing state-of-the-art MIP solvers fail to solve even small size instances of problem, our accelerated and efficient primal (Benders) decomposition solves larger ones.

Transportation Research Part E: Logistics and Transportation Review

Next, we are particularly interested in instances of problem (FP) with a small number of variables and a lager number of ratios.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "instances of problems", ensure that you provide specific examples or details to support your statement. This adds credibility and clarity to your writing.

Common error

Avoid using "instances of problems" as a blanket statement without providing any context or specific examples. Always clarify what types of problems you are referring to. For example, specify the nature or context of the "problems".

Linguistic Context

The phrase "instances of problems" functions as a noun phrase. It refers to specific occurrences or examples where problems have arisen. As Ludwig AI confirms, it is a correct and usable phrase in written English.

Expression frequency: Common

Frequent in

Science

53%

News & Media

23%

Formal & Business

24%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "instances of problems" is a grammatically correct and commonly used noun phrase to refer to specific occurrences or examples of difficulties. As Ludwig AI confirms, it is appropriate for various contexts, including science, news, and formal writing. To enhance clarity, it is recommended to provide specific examples. While "instances of problems" is a solid option, alternatives like "cases of problems" or "examples of problems" can be used depending on the specific nuance you want to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

cases of problems

Replaces "instances" with "cases", offering a slightly more general term for occurrences.

examples of problems

Substitutes "instances" with "examples", highlighting the illustrative nature of the occurrences.

occurrences of problems

Uses "occurrences" instead of "instances", emphasizing the fact that the problems have happened.

situations involving problems

Rephrases the concept to focus on the circumstances where problems arise.

manifestations of problems

Replaces "instances" with "manifestations", suggesting a more visible or evident appearance of the problems.

examples of difficulties

Replaces both "instances" and "problems" with synonyms, broadening the scope slightly.

cases of difficulties

Similar to "cases of problems", but uses "difficulties" for a broader scope.

problems encountered

Focuses on the act of facing problems rather than specific instances.

issues that have arisen

Shifts the focus to the emergence or beginning of the problems.

specific problems

More succinct, emphasizing particular problems without highlighting frequency or examples.

FAQs

How can I use "instances of problems" in a sentence?

You can use "instances of problems" to refer to specific occurrences of difficulties. For example: "The project faced several "instances of problems" during the testing phase." Be sure to provide context or examples for clarity.

What are some alternatives to saying "instances of problems"?

Depending on the context, you could use phrases like "cases of problems", "examples of problems", or "occurrences of problems". The best choice depends on the nuance you want to convey.

Is it better to say "instances of a problem" or "instances of problems"?

Use "instances of a problem" when referring to multiple occurrences of the same, specific problem. Use "instances of problems" when referring to multiple occurrences of various different problems.

What's the difference between "instances of problems" and "indications of problems"?

"Instances of problems" refers to specific, confirmed occurrences. "Indications of problems" suggests signs or evidence that problems might exist, but they may not be fully confirmed or understood yet.