closest solutions

USAGE SUMMARY

The phrase "closest solutions" is correct and usable in written English.
It can be used when discussing options or answers that are nearest to a desired outcome or requirement. Example: "After analyzing the data, we found the closest solutions to the problem we were facing."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Consequently, we use the indicator ED to observe the closest solutions to the ideal solution.

Journal of the Brazilian Computer Society

Therefore, here, the Euclidean distance from an ideal solution (ED) is used to find the closest solutions to the best objectives[35].

Journal of the Brazilian Computer Society

Out of these closest solutions, one (P-n16-k8) achieved the same set of routes as the one in the literature and would have achieved the same length as the one in the literature if not for the difference in how the values are computed.

Journal of Industrial Engineering International

Human-verified similar examples from authoritative sources

Similar Expressions

57 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.

Massachusetts Institute of Technology

And the radius is the distance between the center and another closest solution.

EURASIP Journal on Wireless Communications and Networking

Let (v_{k}in C^) be the closest solution to (x_{k}).

Journal of Inequalities and Applications

Also, Eq. (16) explains that RAS result is closest solution from the original matrix.

Journal of Economic Structures

Local methods are designed to converge to the closest solution to the initial guess.

BMC Systems Biology

However, the closest solution found is distance 0.04 from the optimal solution in (scaled) parameter space, and has error 0.61 (results are shown in Supplementary Section 7).

Bioinformatics

Fig. 4 Closed solution versus exact.

The Journal of Mathematical Neuroscience

Therefore, the direct linear transformation (DLT) [29] is proposed to achieve a closer solution to the ideal Q.

EURASIP Journal on Image and Video Processing

Expert writing Tips

Best practice

When using "closest solutions", ensure the context clearly defines the criteria for 'closeness'. This could be in terms of cost, time, accuracy, or another relevant metric.

Common error

Avoid using "closest solutions" without specifying what makes a solution 'close'. Without context, the phrase is vague and open to misinterpretation. Be explicit about the criteria.

Linguistic Context

The phrase "closest solutions" functions primarily as a descriptive term, modifying the noun "solutions". It specifies that the solutions being referred to are those that most nearly approach a desired or ideal state. Ludwig AI confirms its usability in written English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "closest solutions" is a grammatically correct and usable term, predominantly found in scientific contexts. Ludwig confirms its validity, indicating it's safe to use in your writing. When using "closest solutions", ensure you clarify the criteria defining 'closeness'. While alternatives like "nearest solutions" or "most suitable solutions" exist, "closest solutions" specifically emphasizes proximity to a desired outcome. Its formal register makes it best suited for technical and academic writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

nearest solutions

Replaces "closest" with a direct synonym, maintaining the same meaning.

most approximate solutions

Focuses on solutions that are near or close to a desired value or condition.

best matching solutions

Emphasizes the degree of alignment or correspondence between the solutions and a specific requirement.

most suitable solutions

Highlights the fitness or appropriateness of the solutions for a particular purpose.

optimal solutions

Suggests the very best possible solutions, implying a higher degree of perfection.

adjacent solutions

Implies solutions that are nearby in a problem space, possibly in terms of parameters or characteristics.

solutions in close proximity

Emphasizes the nearness of the solutions to a target or ideal.

solutions within range

Focuses on the idea of solutions falling within an acceptable or defined limit.

converging solutions

Suggests solutions that are approaching a common point or ideal state.

most viable solutions

Focuses on solutions that are capable of succeeding or working effectively.

FAQs

How can I use "closest solutions" in a sentence?

You can use "closest solutions" to describe options that are nearest to a desired outcome. For example: "After analyzing the algorithm outputs, we identified the "closest solutions" to the optimization problem."

What are some alternatives to "closest solutions"?

Depending on the context, you can use alternatives such as "nearest solutions", "most suitable solutions", or "most approximate solutions".

In what contexts is "closest solutions" typically used?

"Closest solutions" is often used in scientific and technical contexts, particularly in optimization problems, algorithm design, and engineering, where identifying solutions that closely meet specific criteria is crucial.

What makes "closest solutions" different from "best solutions"?

"Closest solutions" implies proximity to a target or ideal, while "best solutions" suggests the most effective or optimal options. The "closest" solutions may not always be the absolute "best", but they are the nearest to fulfilling the desired conditions.