a particular solution

USAGE SUMMARY

The phrase "a particular solution" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in differential equations, to refer to a specific solution that satisfies the given conditions. Example: "To solve the equation, we first need to find a particular solution that meets the initial conditions provided."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The likelihood of a particular solution can be found by dividing the number of times that solution was generated by the total number of trials.

Encyclopedia Britannica

People are worried about the future of America and want leadership that can explain what needs to be done and why a particular solution is the right one.

The Economist

In evolutionary terms, this process is known as "genetic crossover and mutation", and is a powerful way to search a large number of possibilities for a particular solution.

The Economist

where ψ ( x ) is a particular solution for Eq. (19).

Boundary Value Problems

Moreover, the function is a particular solution of (3.1) on.

Boundary Value Problems

The more often the user chooses a particular solution to meet her needs, the faster a habit is formed.

TechCrunch

which proves that is a particular solution of the inhomogeneous Kummer's equation (1.4).

Journal of Inequalities and Applications

Nevertheless, a particular solution could grow indefinitely, we now prove that this cannot happen.

The Journal of Mathematical Neuroscience

Therefore, x ∗ is a particular solution of the variational inequality (3.1).

Fixed Point Theory and Applications

which proves that is a particular solution of the inhomogeneous equation (1.8).

Journal of Inequalities and Applications

Crowding distance proposes an estimate of the density of solutions surrounding a particular solution.

Journal of Industrial Engineering International

Expert writing Tips

Best practice

When discussing problem-solving, use "a particular solution" to emphasize that you are referring to one specific solution among many possibilities. This helps to clarify the focus and avoid ambiguity.

Common error

Avoid presenting "a particular solution" as a universal fix. Always acknowledge its limitations and the specific context in which it is effective to prevent misapplication and unrealistic expectations.

Linguistic Context

The phrase "a particular solution" functions as a noun phrase, specifying one distinct answer or approach to a problem. As noted by Ludwig AI, this phrase is indeed correct. The examples from Ludwig further reinforce its application in academic, scientific, and general contexts.

Expression frequency: Very common

Frequent in

Science

68%

News & Media

17%

Encyclopedias

3%

Less common in

Formal & Business

1%

Reference

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "a particular solution" is a grammatically correct and frequently used phrase, as confirmed by Ludwig AI. It serves to highlight a specific method or answer to a problem, distinguishing it from other possible solutions. Its usage spans various contexts, most notably in science and news media. When writing, it's best to use this phrase to emphasize specificity, but avoid presenting it as a one-size-fits-all fix. Instead, acknowledge its context-specific applicability. Alternatives include "a specific solution" or "a precise solution", which offer similar meanings with subtle nuances.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a specific solution

Replaces "particular" with "specific", indicating a more definite or detailed solution.

a definite solution

Emphasizes the clarity and certainty of the solution.

a certain solution

Similar to "specific", implying a known or established solution.

a precise solution

Highlights the accuracy and exactness of the solution.

a tailored solution

Indicates that the solution is customized or adapted for a particular purpose.

a customized solution

Similar to "tailored", emphasizing the personalized nature of the solution.

a targeted solution

Suggests the solution is designed for a specific problem or demographic.

a dedicated solution

Implies the solution is exclusively for a certain situation.

a distinct solution

Focuses on the uniqueness and individuality of the solution.

a unique solution

Highlights that the solution is one of a kind and not commonly found.

FAQs

How to use "a particular solution" in a sentence?

You can use "a particular solution" to refer to one specific answer to a problem, such as: "The engineer proposed "a particular solution" to address the software bug."

What can I say instead of "a particular solution"?

Alternatives include "a specific solution", "a definite solution", or "a precise solution", depending on the nuance you want to convey.

Which is correct, "a particular solution" or "the particular solution"?

"A particular solution" is used when referring to one solution among many, while "the particular solution" implies it's the only or most relevant solution in a given context.

What's the difference between "a particular solution" and "a special solution"?

"A particular solution" emphasizes specificity, indicating a solution tailored for a specific context. "A special solution" implies the solution is unique or remarkable in some way.