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
least solution
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "least solution" is not commonly used in written English and may cause confusion.
It can be used in mathematical or optimization contexts where one is referring to the smallest or minimal solution among a set of possible solutions. Example: "In this optimization problem, we need to find the least solution that satisfies all constraints."
Science
News & Media
Academia
Alternative expressions(1)
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
8 human-written examples
The NRL's much-vaunted – by headquarters at least – solution to speeding the game up has come up snake eyes with the shot clock a big swing and a wild miss.
News & Media
Moreover the least solution of (1.1) in is given by (3.3).
Science
Claim 3. is the least solution of (1.1) in and is the greatest one.
Science
In an analogous way we obtain the least solution of the problem in ([alpha,beta]).
Science
To obtain the least solution of problem (1.1) in ([alpha,beta]) we must redefine operator T, considering the least solution of auxiliar problem ((P_{gamma})) instead of the greatest one, and reasoning like above.
Science
The existence of the least solution of (2.1) in [ σ 1, σ 2 ] follows from a proper redefinition of the operator G. □.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
52 human-written examples
Category II solutions were the least common solution.
Science
Does BFS find a least cost solution?
Is this a least cost solution?
It's the least painful solution from an operational standpoint.
News & Media
But it's the least imperfect solution of them all".
News & Media
Expert writing Tips
Best practice
When using "least solution", ensure the context is mathematical, computational, or optimization-related, where a quantifiable minimum solution is sought.
Common error
Avoid using "least solution" in general contexts where "smallest", "minimal", or "simplest" would be more appropriate and widely understood. Stick to problems where a quantifiable 'least' value makes sense.
Source & Trust
86%
Authority and reliability
4.4/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "least solution" functions as a noun phrase, typically acting as the object of a verb or preposition. It identifies a specific solution among multiple possibilities, characterized by its minimality. Ludwig shows its usage in scientific and mathematical contexts.
Frequent in
Science
70%
Academia
20%
News & Media
10%
Less common in
Formal & Business
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "least solution" refers to the minimal solution to a problem, primarily used in scientific and mathematical contexts. Although grammatically acceptable, it is not very common and should be used with precision, as Ludwig confirms. Alternatives such as "minimal solution" or "smallest solution" might be preferable in more general contexts to avoid ambiguity. The Ludwig AI indicates that the phrase, while valid, is more technical, suggesting that simpler alternatives may sometimes be better understood.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
minimal solution
Replaces "least" with "minimal", emphasizing the smallest possible solution.
smallest solution
Uses "smallest" instead of "least", providing a more common synonym.
optimal solution
Replaces "least" with "optimal", suggesting the best possible solution under given constraints.
minimum viable solution
Emphasizes a solution that is just good enough to meet the basic requirements.
lowest cost solution
Focuses on the solution with the lowest associated cost.
most economical solution
Highlights the solution that is the most cost-effective.
feasible solution with the lowest value
Specifically describes a solution that works and has the smallest numerical value.
solution with minimal impact
Highlights a solution that causes the smallest disturbance or change.
the solution that minimizes
Focuses on the action of minimizing to reach a result
the most reduced solution
Emphasizes a simplification of the process to reach a result.
FAQs
What does "least solution" mean in mathematics?
In mathematics, "least solution" refers to the smallest or minimal solution that satisfies a given equation, inequality, or set of conditions. It's often used in optimization problems or when dealing with ordered sets.
How can I use "least solution" in a sentence?
You can use "least solution" in sentences like: "The algorithm aims to find the "minimal solution" to the equation." or "Among all possible outcomes, we are looking for the "optimal solution"".
What's the difference between "least solution" and "minimal solution"?
"Least solution" and "minimal solution" are often used interchangeably, but "least" implies a quantifiable measure of smallness, while "minimal" may refer to a solution with the fewest components or simplest form.
Are there alternatives to using the phrase "least solution"?
Yes, depending on the context, you can use phrases like "smallest solution", "minimal solution", "optimal solution", or "lowest cost solution".
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
86%
Authority and reliability
4.4/5
Expert rating
Real-world application tested