Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
this problem is solved
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "this problem is solved" is correct and usable in written English.
You can use it to indicate that a specific issue has been addressed and resolved. Example: "After reviewing the data and making the necessary adjustments, I can confidently say that this problem is solved."
✓ Grammatically correct
Science
News & Media
Encyclopedias
Alternative expressions(17)
the issue has been resolved
the matter is settled
the difficulty is overcome
the situation is under control
case closed
this issue is resolved
this error has been corrected
this issue is addressed
this matter is resolved
this issue is mitigated
the fault is addressed
the situation is remedied
this issue is rectified
this issue is fixed
this difficulty is resolved
this issue has been addressed
this matter is settled
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
60 human-written examples
This problem is solved exactly.
This problem is solved via generalized quadratic stability approach.
Science
This problem is solved through a distributed architecture.
This problem is solved by implementing an ɛ-constraint method.
This problem is solved by a (n + 4 -order compensator.
Science
The millions of jobs Americans need are not going to materialize until this problem is solved.
News & Media
Until this problem is solved, transgenic lines with favorably altered traits remain only a technical possibility.
News & Media
We study the semialgebraic region of objective functions for which this problem is solved by its semidefinite relaxation.
Depending on how this problem is solved, there may be either a penalty or a tax bonus for marriage.
Encyclopedias
This problem is solved by means of linear matrix inequalities (LMIs).
Science
This problem is solved assuming that local conditions are similar throughout the region of interest.
Expert writing Tips
Best practice
Use "this problem is solved" when you want to clearly communicate that a specific issue has been resolved, especially in technical or formal contexts. Ensure that the context makes it clear which problem you are referring to.
Common error
Avoid using "this problem is solved" without clearly identifying the problem being referenced. Without context, the phrase can be vague and leave the audience wondering what exactly was resolved.
Source & Trust
82%
Authority and reliability
4.6/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "this problem is solved" functions as a statement indicating that a specific issue or challenge has been successfully resolved. It is often used to provide assurance or closure on a particular matter. Ludwig AI confirms this usage with numerous examples.
Frequent in
Science
60%
News & Media
20%
Encyclopedias
10%
Less common in
Formal & Business
5%
Academia
3%
Reference
2%
Ludwig's WRAP-UP
In summary, the phrase "this problem is solved" is a grammatically correct and commonly used expression to indicate that a specific issue has been resolved. As shown by Ludwig, it is frequently used in scientific, news, and encyclopedia contexts, demonstrating its versatility and broad applicability. The phrase generally maintains a neutral to formal tone, making it suitable for both professional and technical communications. While variations such as "the issue has been resolved" or "a solution has been found" exist, "this problem is solved" offers a direct and concise way to communicate a resolution. Ludwig AI confirms that this phrase is appropriate in a wide range of writing scenarios, provided the context clearly identifies the problem being referenced.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
the issue has been resolved
Focuses on the resolution of an issue rather than the solving of a problem; slightly more formal.
the matter is settled
Suggests a conclusion has been reached, often in a formal or legal context.
the difficulty is overcome
Emphasizes the effort required to surpass the problem.
we have found a solution to this
Highlights the process of finding a solution, implying effort and discovery.
the challenge has been addressed
Indicates that the challenge was recognized and dealt with appropriately.
the situation is under control
Implies that a previously uncontrolled situation has now been managed effectively.
the puzzle is figured out
Suitable when the problem is akin to a puzzle or riddle that needed solving.
the mystery is unravelled
Suggests that something previously unknown or obscure is now understood.
we've cracked it
An informal and colloquial way of saying a solution has been found.
case closed
A very informal way to signal that an investigation or issue is concluded.
FAQs
How can I use "this problem is solved" in a sentence?
You can use "this problem is solved" to indicate that a specific issue has been addressed and resolved. For example, "After implementing the new software, "this problem is solved"."
What are some alternatives to saying "this problem is solved"?
Alternatives include "the issue has been resolved", "the matter is settled", or "a solution has been found". The best choice depends on the specific context and the nuance you want to convey.
Is it appropriate to use "this problem is solved" in formal writing?
Yes, "this problem is solved" is appropriate in formal writing, especially in technical reports or business communications, when you need to clearly state that an issue has been resolved.
What's the difference between "this problem is solved" and "this problem has been solved"?
While both phrases are grammatically correct and convey the same general meaning, "this problem is solved" is more concise and direct, while "this problem has been solved" emphasizes the completed action of solving the problem.
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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
82%
Authority and reliability
4.6/5
Expert rating
Real-world application tested