by applying the solution

USAGE SUMMARY

"by applying the solution" is a correct and usable phrase in written English.
This phrase could be used in a variety of contexts, such as when explaining a logical process or to describe a potential solution to a problem. For example: "The computer system was malfunctioning, but we were able to get it working again quickly by applying the solution our technician recommended."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

ŝ 1 I is computed by applying the solution ŝ 2 R in (24).

EURASIP Journal on Wireless Communications and Networking

Then using the extended Kalman filter (EKF) approach, the state and parameter are estimated by applying the solution techniques to a distributed parameter system.

Chemical Engineering Science

In the process of solving an "inverse problem", the first step is to build the optimization object function of the "inverse problem" by applying the solution of the "forward problem".

Applied Water Science

The AKT was removed by applying the solution to glutathione-agarose beads.

eLife

The children were instructed to wash their toothbrushes after each brushing by applying the solution given by parents and kindergarten teachers onto every surface of the toothbrush.

BMC Oral Health

Labeled myofibrils were washed with 5 volumes of the Ca2+-rigor solution by applying the solution to the one end of the channel and absorbing with #1 filter paper at the other end.

Biochimica et Biophysica Acta - General Subjects

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

In order to improve the exploitation, a new solution search equation in the onlooker stage by applying the best solution of the previous iteration to guide the search of new candidate solutions was presented.

Applied Mathematics and Computation

By applying the fundamental solution matrix, the Lyapunov function, and constructing fundamental function sequences based on the solution of networks, we obtain a set of sufficient criteria which ensure the existence and global exponential stability of anti-periodic solutions of system (1.3).

Advances in Difference Equations

In this representation, the initial value problem is solved by applying the fundamental solution exp(−itH) to the initial field configuration.

Journal of Computational Physics

This contribution will demonstrate that significant reductions in internal transports at one of the Deutsche Post World Net's main parcel sorting centers can be achieved by applying the robust solution of a modified three-dimensional linear assignment model.

European Journal of Operational Research

By applying the lattice solution theory of Flory and Huggins with molecular mass dependent interaction parameters, the molecular mass distributions of a dextran in both coexisting phases can be predicted from investigations of narrowly distributed dextrans in the same system.

Chemical Engineering Science

Expert writing Tips

Best practice

When describing a step-by-step process, use "by applying the solution" to clearly indicate the action being taken. For example: "The problem was resolved by applying the solution as outlined in the manual."

Common error

Avoid using "by applying the solution" when a simpler phrasing like "using the solution" or "with the solution" would suffice. Overly formal language can sometimes obscure the meaning.

Linguistic Context

The phrase "by applying the solution" functions as a prepositional phrase, typically used to indicate the means or method by which a particular result is achieved. Ludwig AI indicates this phrase is perfectly usable in English, and Examples show its utility in detailing processes, particularly in scientific or technical domains.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "by applying the solution" is a grammatically sound prepositional phrase that clarifies the method of achieving a specific outcome. Ludwig AI confirms its correct usage in English, with evidence showing its common use in scientific contexts. While versatile, it's important to use it judiciously, ensuring it adds clarity rather than unnecessary formality. Consider simpler alternatives like "using the solution" in less formal settings. Be mindful of overuse; clarity and precision are key when incorporating this phrase into your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through the solution's application

Rephrases the sentence to emphasize the means by which the solution is put into use.

via the solution's implementation

Highlights the process of putting the solution into practice.

by utilizing the solution

Focuses on the act of using the solution.

with the solution's usage

Emphasizes the use of the solution as a method.

by employing the solution

Stresses the deliberate use of the solution.

through the use of the solution

Rephrases to highlight the method of achieving a result.

by means of the solution

Indicates that the solution is the instrument by which something is done.

by way of the solution

Suggests the solution is a path or route to an outcome.

by capitalizing on the solution

Highlights taking advantage of the solution's potential.

by leveraging the solution

Implies using the solution to gain an advantage or achieve a goal more efficiently.

FAQs

How can I rephrase "by applying the solution"?

You can use alternatives like "using the solution", "with the solution", or "through the solution's application" depending on the context.

Is "by applying the solution" formal or informal?

The phrase is generally considered neutral to formal. Simpler alternatives might be preferable in very informal contexts.

When is it appropriate to use "by applying the solution"?

It is appropriate when you want to clearly and explicitly state that a particular solution is being implemented or utilized to achieve a specific outcome. It is particularly useful in technical or formal writing.

What is the difference between "by applying the solution" and "implementing the solution"?

"By applying the solution" focuses on the action of using the solution. "Implementing the solution", which you can explore further "implementing the solution", emphasizes the process of putting the solution into effect.