at least one solution

USAGE SUMMARY

The phrase "at least one solution" is correct and usable in written English.
It can be used in contexts where you want to indicate that there is a minimum of one possible answer or resolution to a problem or question. Example: "In this mathematical equation, we can confirm that there is at least one solution that satisfies the conditions."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

If, then (1.2) has at least one solution on.

Advances in Difference Equations

then problem (1.1) has at least one solution on.

Boundary Value Problems

Then (1.1)–(1.4) has at least one solution on.

Journal of Inequalities and Applications

Then (GWMEP) has at least one solution.

Journal of Inequalities and Applications

where have at least one solution.

Boundary Value Problems

has at least one solution in.

Boundary Value Problems

Hence, there exists at least one solution.

Boundary Value Problems

So (1.2) has at least one solution.

Advances in Difference Equations

CCEiCP has at least one solution.

Fixed Point Theory and Applications

Therefore, (GWMEP) has at least one solution.

Journal of Inequalities and Applications

then (1) has at least one solution.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "at least one solution", ensure that the context clearly defines what constitutes a solution. For instance, specify the domain or range in which the solution must exist.

Common error

Avoid using "at least one solution" without specifying the criteria for what counts as a solution. This can lead to ambiguity or misinterpretation. Always provide necessary constraints or conditions.

Linguistic Context

The phrase "at least one solution" functions as a determiner phrase followed by a noun, indicating the presence of a minimum number of solutions. Ludwig's examples show it's often used in mathematical and scientific contexts to assert that a problem has a solution, even if others exist.

Expression frequency: Very common

Frequent in

Science

90%

Formal & Business

5%

News & Media

3%

Less common in

Academia

1%

Encyclopedias

0.5%

Wiki

0.5%

Ludwig's WRAP-UP

In summary, "at least one solution" is a grammatically sound and frequently used phrase to affirm the existence of a solution to a problem. As Ludwig AI confirms, it is particularly common in scientific and mathematical contexts. For optimal clarity, it's advisable to specify the criteria defining the solution. Alternatives such as "a minimum of one solution" or "one or more solutions" can be used depending on the nuance you wish to convey. Remember to avoid ambiguity by clearly defining what constitutes a 'solution' within your context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a minimum of one solution

Replaces "at least" with "a minimum of", emphasizing the lower bound.

one or more solutions

Specifies that there can be one solution or several solutions.

there exists a solution

Formal way to say a solution is available.

existence of a solution

Focuses on the existence rather than the number of solutions.

a solution can be found

Indicates the possibility of finding a solution through a given process.

solvability

Highlights the capability of finding a solution.

the problem has a solution

Emphasizes that the problem is not unsolvable.

the equation is solvable

Indicates that finding the solution is achievable.

a possible solution exists

Highlights the possibility rather than certainty.

there's a solution available

Informal alternative to indicate the availability of a solution.

FAQs

How can I rephrase "at least one solution"?

You can use alternatives like "a minimum of one solution", "one or more solutions", or "existence of a solution" depending on the specific context.

Is it correct to say "at minimum one solution" instead of "at least one solution"?

While understandable, "at minimum one solution" is less common and can sound awkward. "At least one solution" is the standard and more natural phrasing.

What does "at least one solution" imply in a mathematical context?

In mathematics, "at least one solution" means that the equation or problem has one solution, and it may have multiple solutions. It guarantees the existence of a solution without limiting the total number of possible solutions.

How do I use "at least one solution" in a sentence?

You might say, "The theorem proves that the equation has "at least one solution" within the specified interval" or "The proposed method guarantees "at least one solution" for the given boundary conditions".