fundamental solution

USAGE SUMMARY

"fundamental solution" is correct and usable in written English.
You can use it when referring to a solution that addresses the most fundamental aspects of a problem. For example, "We need to develop a fundamental solution to this issue before proceeding any further."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

"We should find a fundamental solution for this.

The New York Times

"But there will not be a fundamental solution until we can find new sources of foreign currency funding".

The New York Times

"The fundamental solution," he writes, is that "people must figure out how to 'own' their own work".

The New York Times - Books

But a more fundamental solution would be to eliminate the welfare state for natives and immigrants alike.

The Economist

"The fundamental solution is that there should no longer be a need to emigrate, that there are enough jobs in the homeland, a sufficient social fabric," he said.

The New York Times

So the fundamental solution matrix is (3.7).

Journal of Inequalities and Applications

Let be the fundamental solution of (4.1).

Advances in Difference Equations

The direct integral equation requires a displacement fundamental solution.

International Journal of Mechanical and Materials Engineering

The fundamental solution corresponding to the temperature is also obtained.

Advances in Difference Equations

The fundamental solution for the temperature field is obtained.

Advances in Difference Equations

This function is a fundamental solution of the Dirac operator.

Boundary Value Problems

Expert writing Tips

Best practice

When discussing complex problems, use "fundamental solution" to emphasize that you are addressing the most essential aspects, not just surface-level symptoms.

Common error

Avoid using "fundamental solution" when a simpler term like "solution" or "key solution" suffices. Overuse can make your writing sound unnecessarily formal or repetitive.

Linguistic Context

The phrase "fundamental solution" functions primarily as a noun phrase. It identifies a specific type of solution, one that addresses the most basic or essential aspects of a problem. As Ludwig AI points out, it's considered grammatically correct and suitable for use in written English.

Expression frequency: Common

Frequent in

Science

60%

News & Media

30%

Formal & Business

10%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "fundamental solution" is a noun phrase used to describe a solution that addresses the core, underlying aspects of a problem. Ludwig AI confirms it is grammatically sound and primarily found in scientific and news media contexts. While its usage is considered correct, it's crucial to use it judiciously, as overusing the phrase can lead to wordiness. Alternatives like "core solution" or "essential solution" may be more appropriate in certain scenarios. When communicating about complex problems, utilizing "fundamental solution" emphasizes a resolution that tackles the most essential aspects, not just surface-level symptoms. Furthermore, the authoritative sources suggest a high degree of reliability in its usage.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

foundational solution

Highlights the solution as a base upon which further actions can be built.

essential solution

Stresses the necessity and importance of the solution.

critical solution

Emphasizes the solution's crucial role in resolving a problem.

key solution

Highlights the solution's importance as a key element.

core solution

Emphasizes the central or most important aspect of the solution.

primary solution

Indicates the main or most important solution among others.

basic solution

Replaces "fundamental" with "basic", suggesting a simple or foundational approach.

root solution

This alternative indicates the solution addresses the origin of a problem.

underlying solution

Focuses on the solution that addresses the root cause.

ultimate solution

Implies this solution is the final or most complete answer to a problem.

FAQs

How is "fundamental solution" used in scientific contexts?

In scientific fields, "fundamental solution" often refers to a solution that addresses the core principles or equations of a problem. For example, in physics, it might describe a solution that satisfies basic laws or conditions.

What's the difference between a "fundamental solution" and a "simple solution"?

A "fundamental solution" addresses the root cause or most basic elements of a problem, while a "simple solution" might only offer a quick or easy fix without delving into underlying issues.

When is it appropriate to use "fundamental solution" instead of "basic solution"?

"Fundamental solution" is suitable when emphasizing a deep or foundational resolution. A "basic solution", on the other hand, refers to a more general or uncomplicated approach.

Are there situations where "fundamental solution" might be too strong of a term?

Yes, if the problem is minor or requires only a superficial fix, using "fundamental solution" could be an overstatement. In such cases, terms like "solution" or "practical solution" might be more appropriate.