an optimal solution

USAGE SUMMARY

"an optimal solution" is correct and usable in written English.
You can use it to describe a solution that is the best possible option in a given situation. For example: "The team worked hard to find an optimal solution to the problem."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The convexity property of Logit-Lapnet guarantees an optimal solution using any convex optimization solver.

BMC Genomics

An objective function should be chosen to find an optimal solution within the constrained space.

Bioinformatics and Biology Insights

And not everyone can find, or afford, such an optimal solution.

The New York Times - Books

This will always be true for linear problems, although an optimal solution may not be unique.

Encyclopedia Britannica

Hence, an optimal solution exists at the extreme point (5, 5).

Encyclopedia Britannica

Then is an optimal solution of (P1).

Advances in Difference Equations

Nevertheless, an optimal solution cannot be guaranteed.

EURASIP Journal on Wireless Communications and Networking

However, we aim for an optimal solution.

EURASIP Journal on Embedded Systems

So is an optimal solution of.

Journal of Inequalities and Applications

These approaches cannot give an optimal solution.

Computer Languages, Systems & Structures

If is an optimal solution to problem, then is an optimal solution to problem.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When aiming for a clear and concise expression, use "an optimal solution" to convey that you have identified the best possible option, considering all constraints and objectives.

Common error

Be cautious when claiming something is "an optimal solution" without rigorous justification. Ensure all relevant factors have been considered and that the solution is indeed the best possible outcome given the available information. Avoid using the phrase loosely, as it implies a high degree of certainty and analysis.

Linguistic Context

The phrase "an optimal solution" functions as a noun phrase, where "optimal" modifies "solution". As Ludwig AI confirms, this phrase is grammatically sound and frequently used. It describes the best possible resolution to a problem, given specific constraints and objectives.

Expression frequency: Very common

Frequent in

Science

85%

Encyclopedias

7%

News & Media

4%

Less common in

Formal & Business

2%

Wiki

1%

Social Media

1%

Ludwig's WRAP-UP

In summary, "an optimal solution" is a grammatically correct and frequently used phrase that denotes the best possible resolution to a problem. As Ludwig AI confirms, it's suitable for formal and technical contexts, particularly in scientific and academic writing. While alternatives exist, such as "the best possible solution" or "an ideal solution", "an optimal solution" provides a concise and authoritative way to convey that a thorough evaluation has been conducted. However, avoid overstating optimality without proper justification. By understanding its function, purpose, and register, you can effectively incorporate "an optimal solution" into your writing and communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the best possible solution

Emphasizes the idea that the solution is the absolute best, leaving no room for improvement.

a perfect solution

Suggests the solution is flawless and without any drawbacks.

an ideal solution

Indicates the solution is the most desirable or fitting, according to certain standards or goals.

the most effective solution

Highlights the solution's ability to produce the desired result.

a superior solution

Implies the solution is better than other alternatives.

a prime solution

Signifies the solution is of the highest quality or importance.

a top-notch solution

An informal way to say the solution is excellent and of high quality.

a first-rate solution

Similar to "top-notch solution", implying excellent quality and effectiveness.

the ultimate fix

Suggests the solution completely resolves the issue, leaving no further problems.

the gold standard solution

Compares the solution to the highest benchmark of quality and effectiveness.

FAQs

What does "an optimal solution" mean?

The phrase "an optimal solution" refers to the best possible solution to a problem, considering all constraints and desired outcomes. It implies that all alternative solutions have been evaluated, and this one is the most effective.

When is it appropriate to use the phrase "an optimal solution"?

Use "an optimal solution" when you want to emphasize that you've found the very best solution after careful evaluation. It's suitable in formal settings and when discussing technical or complex problems. If you're simply describing a good solution, less emphatic terms may be more appropriate.

Which is correct, "an optimal solution" or "a good solution"?

Both are correct, but they have different meanings. "An optimal solution" implies the best possible outcome, while "a good solution" simply means a satisfactory or effective one. The choice depends on the degree of excellence you want to convey.

What are some alternatives to "an optimal solution"?

Depending on the context, you can use alternatives like "the best possible solution", "an ideal solution", or "the most effective solution" to express a similar idea.