singular solution

USAGE SUMMARY

The phrase "singular solution" is correct and usable in written English.
It is typically used in mathematical contexts to refer to a unique solution to a problem or equation. Example: "In this case, the differential equation has a singular solution that satisfies the initial conditions."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

50 human-written examples

The PDE system considered has multiple parameter dependent singular solution modalities, including finite time singularities and sharp interface dynamics.

Journal of Computational Physics

This is achieved by combining the SBM with the singularity subtraction techniques where the solution is decomposed into the singular solution and the regular solution.

Journal of Sound and Vibration

But it will not be the singular solution to the industry's troubles, argues Miles Young, Ogilvy's boss.

The Economist

"But I fear all of it will be thrown out with the bathwater if people become disenchanted with it as a singular solution".

The New York Times

In the example given, y has its minimum value for each x when c = -x, giving the singular solution as indicated.

Encyclopedia Britannica

Singular solution, in mathematics, solution of a differential equation that cannot be obtained from the general solution gotten by the usual method of solving the differential equation.

Encyclopedia Britannica

Human-verified similar examples from authoritative sources

Similar Expressions

10 human-written examples

This paper also explores a systematic analysis for singularity properties and explicit singular solutions for corners of linear elastostatics.

Engineering Analysis with Boundary Elements

In particular, near singular solutions exist and singularities are prevented from occurring in finite time by mechanisms akin to those in the evolution of vortex patches.

Journal of Computational Physics

Geometric singularities, however, often give rise to singular solutions.

Journal of Computational Physics

Our method requires little prior information of the singular solutions and can handle multiple singularities.

Journal of Computational Physics

In [1,2], a systematic analysis for singularity properties and particular solutions of linear elastostatics is explored, and the singular solutions for corners with the displacement or the free traction boundary conditions have been found.

Engineering Analysis with Boundary Elements

Expert writing Tips

Best practice

When using "singular solution" in mathematical or scientific contexts, ensure the problem being addressed genuinely has only one valid answer. Overusing it can imply a certainty that might not exist.

Common error

Avoid using "singular solution" when multiple approaches could lead to a resolution. Consider whether the solution is truly unique or simply the most preferred option.

Linguistic Context

The phrase "singular solution" functions primarily as a noun phrase, often acting as a subject or object in a sentence. Ludwig AI examples show its use in discussing mathematical and scientific problems where a unique solution is being identified or sought.

Expression frequency: Very common

Frequent in

Science

71%

News & Media

17%

Encyclopedias

12%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "singular solution" is a noun phrase primarily used in formal and scientific contexts to denote a unique and exclusive answer to a problem. According to Ludwig AI analysis, the phrase is grammatically correct and frequently used, especially in scientific literature. When using "singular solution", it's important to ensure that the context genuinely supports the idea of a single, definitive answer, avoiding its misuse when multiple valid solutions might exist. Alternatives like "unique solution" or "sole remedy" can be considered depending on the specific shade of meaning you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

unique answer

Emphasizes the uniqueness of the answer, shifting focus from the solution process to the result itself.

only resolution

Highlights the exclusivity of the resolution, suggesting no other option exists.

sole remedy

Implies that this solution is the only way to fix a problem or situation.

distinctive result

Focuses on the distinctiveness of the result obtained, suggesting it stands out from other possible outcomes.

exceptional case

Highlights that the solution is not a standard or typical instance.

exclusive fix

This emphasizes the solution's exclusivity to address a specific issue.

isolated instance

This emphasizes the solution is only valid for a specific instance or situation.

individual resolution

Highlights that the resolution is tailored or specific to one single element.

particular outcome

Focuses on the outcome being specific and not generally applicable.

one-off solution

Suggests the solution is designed for a very specific situation and not reusable.

FAQs

What does "singular solution" mean in mathematics?

In mathematics, "singular solution" refers to a solution of a differential equation that cannot be obtained from the general solution. It often represents an envelope of the family of curves representing the general solution.

When is it appropriate to use "singular solution" in a sentence?

Use "singular solution" when you want to emphasize that there is only one possible or correct answer to a problem, especially in technical or mathematical contexts. Be cautious of overstating the uniqueness if other valid solutions exist.

Are there alternatives to "singular solution" that I can use?

You can use alternatives like "unique solution", "sole solution", or "only resolution" depending on the specific nuance you want to convey.

How does a "singular solution" differ from a general solution in differential equations?

A "singular solution" is a solution to a differential equation that cannot be derived from the general solution by assigning specific values to the arbitrary constants. It often represents a special case or an envelope of the general solution's family of curves.