a fundamental solution

USAGE SUMMARY

The phrase "a fundamental solution" is correct and usable in written English.
It can be used in contexts such as mathematics, physics, or problem-solving to refer to a basic or essential answer to a problem. Example: "In our research, we discovered a fundamental solution to the equation that simplified our calculations significantly."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

55 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 move intensified the struggle for a fundamental solution for the long-troubled Roosevelt system, whose fiscal and managerial problems are being debated by the Republican-controlled State Senate anDemocratic-controlleded Assembly.

The New York Times

While a fundamental solution to this problem has not yet been found, probabilistic solutions have been posited, motivated by string theory and the possible existence of a large number of disconnected universes.

Encyclopedia Britannica

This function is a fundamental solution of the Dirac operator.

Boundary Value Problems

Since is a fundamental solution of Laplacian on,.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

5 human-written examples

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

The Economist

This might lead to some biodiversity of code.Mr Schneier, one of the authors of the report submitted by Mr Geer, proposes a more fundamental solution.

The Economist

The direct integral equation requires a displacement fundamental solution.

International Journal of Mechanical and Materials Engineering

The study of the Green's function on the Heisenberg group became interesting after Folland [5] found a smooth fundamental solution for this operator.

Boundary Value Problems

A new fundamental solution for piezoelectric materials is proposed and the transient solution for the cracked body is determined by superposition of the fundamental solution in the Laplace transform domain.

International Journal of Solids and Structures

Expert writing Tips

Best practice

When discussing complex problems, use "a fundamental solution" to emphasize the core, underlying resolution rather than temporary fixes. This helps to focus on long-term strategies.

Common error

Avoid using "a fundamental solution" when the resolution only addresses surface-level issues. Ensure the proposed solution tackles the root cause of the problem for accurate application.

Linguistic Context

The phrase "a fundamental solution" functions as a noun phrase, identifying a core or essential resolution to a problem. Ludwig examples show its use in diverse contexts, from scientific research to policy discussions, indicating its broad applicability.

Expression frequency: Very common

Frequent in

Science

51%

News & Media

24%

Formal & Business

13%

Less common in

Encyclopedias

2%

Wiki

1%

Reference

0%

Ludwig's WRAP-UP

In summary, "a fundamental solution" is a frequently used phrase denoting a core or essential answer to a problem. According to Ludwig, it is grammatically correct and appropriate across various domains, including science, news, and business. Its function is to emphasize a comprehensive and lasting resolution, addressing the root cause of an issue rather than merely alleviating symptoms. While versatile, it is crucial to ensure that the proposed solution truly tackles the underlying problem to avoid misapplication. Alternative phrases include "a core solution" or "an essential solution".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a core solution

This alternative emphasizes the central and most important aspect of the solution.

an essential solution

This highlights the necessity and indispensability of the solution.

a basic solution

This suggests the solution is simple and foundational.

a key solution

This indicates the solution is critical and significant.

a primary solution

This highlights the solution's importance and priority.

a central solution

This emphasizes the solution's position at the heart of the matter.

a critical solution

This emphasizes the decisive and crucial nature of the solution.

a substantive solution

This highlights the solution's significant and practical nature.

a game-changing solution

This indicates the solution is transformative and revolutionary.

a breakthrough resolution

This highlights a significant advance or discovery in resolving an issue.

FAQs

How can I use "a fundamental solution" in a sentence?

You can use "a fundamental solution" to describe a core resolution to a problem, such as, "The development of solid-state batteries offers "a fundamental solution" to safety concerns".

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

You can use alternatives like "a core solution", "an essential solution", or "a basic solution" depending on the specific context.

Is "a fundamental solution" different from "a temporary fix"?

Yes, "a fundamental solution" addresses the root cause of a problem, while a "temporary fix" only alleviates the symptoms without resolving the underlying issue.

In what contexts is "a fundamental solution" most appropriate?

"A fundamental solution" is most appropriate in contexts where a deep-rooted problem requires a comprehensive and lasting resolution, such as in scientific research, engineering, or policy-making.