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
closest solution
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "closest solution" is correct and usable in written English.
It can be used when discussing the most suitable or nearest answer to a problem or question. Example: "After analyzing all the options, we found that the closest solution to our issue is to implement a new software system."
✓ Grammatically correct
Science
Academia
Formal & Business
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
11 human-written examples
In an ideal world, integrated design is the closest solution in which windows, floors, appliances, lights, and heating and cooling systems are installed simultaneously at the beginning.
And the radius is the distance between the center and another closest solution.
Let (v_{k}in C^) be the closest solution to (x_{k}).
Also, Eq. (16) explains that RAS result is closest solution from the original matrix.
where d i is the Euclidean distance between solutions i and the closest solution to it in the Pareto sets of solutions.
If meta-heuristic approach such as genetic algorithm (GA) is used, we will get the closest solution to the global optimum (Shabani et al. 2011).
Human-verified similar examples from authoritative sources
Similar Expressions
49 human-written examples
Consequently, we use the indicator ED to observe the closest solutions to the ideal solution.
Fig. 4 Closed solution versus exact.
Therefore, the direct linear transformation (DLT) [29] is proposed to achieve a closer solution to the ideal Q.
The close solution to Equation (3) is (4) m ˜ = 1 − α I − α M ― − 1 m Similarly, graph Laplacian scores can be derived to measure the relevance between the phenotypes and the target phenotype p with the close solution (5) p ˜ = 1 − β I − β P − − 1 p where P ¯ is the normalized P and parameter β ∈ (0, 1).
Science
For vertical wellbore a closed-form solution is achieved.
Expert writing Tips
Best practice
When using "closest solution", consider the context to ensure the phrase accurately reflects the degree of approximation or suitability you intend to convey. If precision is paramount, consider alternative formulations that emphasize accuracy.
Common error
Avoid using "closest solution" when a precise or exact solution is required or known. The phrase implies an approximation, so ensure this aligns with the reality of the situation.
Source & Trust
80%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "closest solution" functions as a noun phrase where the adjective "closest" modifies the noun "solution". This combination identifies the solution that is nearest or most approximate to a desired outcome. As supported by Ludwig, it is a correct and usable term in written English.
Frequent in
Science
70%
Academia
20%
Formal & Business
10%
Less common in
News & Media
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "closest solution" is a grammatically sound and frequently used expression to describe an approximate or nearest answer to a problem. Ludwig confirms its validity in English writing. It's commonly found in scientific and academic contexts, where precise solutions are not always feasible. When using the term, be mindful of the implication of approximation and consider whether an alternative phrase emphasizing accuracy might be more appropriate. Remember that "closest solution" is not interchangeable with "exact solution", ensuring that the phrase is employed in contexts where approximation is inherent.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
nearest answer
Replaces "solution" with "answer", focusing on finding the closest response or reply.
best approximation
Emphasizes the idea of something being the best available approximate result.
most viable option
Shifts the focus to practical applicability and the feasibility of the solution.
optimal compromise
Highlights the element of trade-offs and finding the most suitable balance.
closest estimate
Focuses on a numerical or quantitative approximation.
nearest equivalent
Suggests something that is functionally similar or comparable, though not identical.
most proximate answer
Uses 'proximate' for a more formal tone, indicating nearness in terms of relation or position.
closest match
Emphasizes the level of agreement or similarity to a desired ideal or target.
most analogous approach
Highlights similarities between different approaches, focusing on which is most alike.
best available resolution
Highlights the quality of the resolution and how available it is to the user.
FAQs
How can I use "closest solution" in a sentence?
You can use "closest solution" to describe an answer that is the nearest or most approximate to a problem. For example: "After reviewing the data, we determined that implementing the new software was the "closest solution" to our efficiency issues."
What are some alternatives to "closest solution"?
Depending on the context, alternatives to "closest solution" include "nearest answer", "best approximation", or "most viable option".
Is "closest solution" the same as "exact solution"?
No, "closest solution" implies an approximation, while "exact solution" refers to a precise and accurate answer. The phrases are not interchangeable.
When is it appropriate to use "closest solution" instead of "best solution"?
"Closest solution" is appropriate when the ideal solution is unattainable or unknown, and you are referring to the nearest achievable or most approximate answer. "Best solution" is used when referring to the perfect answer to a problem.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
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