a solution by which

USAGE SUMMARY

The phrase "a solution by which" is correct and usable in written English.
It can be used when describing a method or approach that provides a resolution to a problem or situation. Example: "We need to find a solution by which we can reduce our carbon footprint while maintaining productivity."

✓ Grammatically correct

Encyclopedias

News & Media

Science

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

He worked privately at a solution, by which a papal concordat to ensure at least minimum control of Catholic clergy would be the precondition of Emancipation.

Britannica

"We underscored how difficult the situation is," he said, "and we will now continue our discussions to find a solution by which we hope we will be getting some support from Russia".

The New York Times

That is, if you are a true believer in the logic of consequences, then the logic of appropriateness is simply a solution by which you get the best consequences.

Journal of Organization Design

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

It is also cognitively more effortful to generate a solution by yourself, which in turn might induce more active processing and strengthen the knowledge in memory (Bertsch et al., 2007; Pyc & Rawson, 2009).

Cognitive Research: Principles and Implications

Frances McDormand ended her Best Actress speech by introducing the world to the concept of the "inclusion rider"—a market-based redistributive solution by which an A-list actor can insist, in his or her contract, that a movie accurately reflect contemporary demographics.

The New Yorker

The analyst believes that Rio could explore a third solution by which it pursues a right issue of $10.0 billion and then sells some assets or a stake to Chinalco, or to other miners like BHP Billiton.

Forbes

A PVDF flat-sheet membrane was first fabricated; it was then soaked in a zirconium-PVA solution and dried, and finally reacted with a glutaraldehyde solution, by which the zirconium ions were impregnated onto the PVDF surface through the ether and hydroxyl groups according to the cross-linkage mechanism.

Chemosphere

The chums crafted a mutually beneficial solution by which David Phelps, a downstate Democratic congressman, saw his district vanish.

The New York Times

And an illustrative case of multiple-feedstock bioethanol system has been studied by the proposed method, and a global best solution by which the total ecological footprint is the minimal has been obtained.

Bioresource Technology

Another method is a homomorphic-based solution by which authors used the Paillier cryptosystem to secure user privacy in user-based CF algorithm [12].

Data Science and Engineering

Seek to find a compromise or solution by which both you and your parent will be happy.

WikiHow

Expert writing Tips

Best practice

When using "a solution by which", ensure the clause following 'by which' clearly describes the specific method or process facilitating the resolution. This enhances clarity and avoids ambiguity.

Common error

Avoid using "a solution by which" when simply describing the result of an action. This phrase should be reserved for situations where you are explicitly detailing how the solution is achieved, not just stating what the solution is.

Linguistic Context

The phrase "a solution by which" functions as an adjective phrase that introduces a relative clause specifying the means or method through which a resolution is achieved. As Ludwig AI confirms, it's grammatically correct, and the examples, although limited, show it used across different contexts to describe a process.

Expression frequency: Rare

Frequent in

Science

33%

News & Media

33%

Encyclopedias

34%

Less common in

Wiki

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "a solution by which" is a grammatically sound phrase used to describe a method or process that enables a resolution. As confirmed by Ludwig AI, its use is correct, although not particularly common, appearing primarily in encyclopedias, news and media, and scientific contexts. While its formal register and specific function – detailing how a solution is achieved – make it valuable for precise communication, writers should ensure that the clause following "by which" provides a clear and meaningful explanation of the method involved.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a means by which

Replaces "solution" with a broader term, focusing on the method itself rather than the outcome.

a method through which

Substitutes "by which" with "through which", emphasizing the process.

a way in which

Uses simpler vocabulary to convey a similar concept.

a system whereby

Introduces a formal, almost technical tone suggesting an established procedure.

an approach where

Focuses on the starting point or strategy used.

a mechanism for

Highlights the functional aspect of the resolution.

a strategy through which

Emphasizes a carefully designed plan to achieve a solution.

a route via which

Suggests a pathway or course of action leading to the desired result.

a path whereby

Implies progress and direction toward resolving an issue.

an avenue through which

Presents the solution as an opportunity or channel for achieving resolution.

FAQs

How can I use "a solution by which" in a sentence?

Use "a solution by which" when you want to describe the specific method or process that enables a resolution. For example, "They sought a solution by which the conflict could be resolved peacefully".

What are some alternatives to "a solution by which"?

You can use alternatives like "a means by which", "a method through which", or "a way in which" depending on the specific context.

Is there a difference between "a solution by which" and "a solution that"?

"A solution by which" specifies the process that leads to the resolution, whereas "a solution that" describes a characteristic or quality of the solution itself. The first focuses on the method, the second on the attribute.

When is it appropriate to use "a solution by which" instead of simply stating the solution?

Use "a solution by which" when the manner or process of achieving the solution is particularly important or relevant to the discussion. It provides more detail than simply stating the solution.