established solutions

USAGE SUMMARY

The phrase "established solutions" is correct and usable in written English.
It can be used when referring to solutions that have been recognized and accepted over time in a particular field or context. Example: "The team decided to implement established solutions to address the ongoing issues in the project."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

where ξ = k x + c t + ξ 0. Remark 6 The established solutions in Eqs.

Advances in Difference Equations

where ξ = k 1 x + k 2 y + c t + ξ 0. Remark 5 The established solutions in Eqs.

Advances in Difference Equations

We then characterize the optimal strategy in terms of a relation between the critical point and the previously established solutions.

Probability, Uncertainty and Quantitative Risk

Koh et al. (2015) caution that academics often jump too quickly at established solutions and design surface level change, without in-depth understanding of the problem.

International Journal of Educational Technology in Higher Education

That's why they tend to stick with established solutions, like paying by check or PayPal, instead of making a change to a new technology, even when there's a cost savings involved.

TechCrunch

where ξ = c t + k 1 x 1 + k 2 x 2 + l 1 y 1 + l 2 y 2 + ξ 0. Remark 3 As one can see, the established solutions for the space-time fractional Fokas equation above are different from the results in [30] and are new exact solutions so far to our best knowledge.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

We carried out a system comparison in order to structure the problem and to identify the established solution approaches for the organization of cloud ecosystems.

Journal of Cloud Computing

Then, in the very end and for each example individually, it is recommended to identify an established solution criterion which the existing curve in the metric space satisfies.

Bulletin of Mathematical Sciences

The blend sample of polymers was prepared by well established solution blending technique and their nanocomposite samples were prepared through dispersion technique during the solution casting of blend sample.

International Nano Letters

That not only means those established outfits have an established solution for creating Wii U games; it also means Unity's 1.2 million existing customers - scores of them indies and students - already own a familiar tool that can now let them build games for the new console.

BBC

Blood is the only widely available and clinically established solution.

Critical Care

Expert writing Tips

Best practice

When using "established solutions", ensure the context clearly indicates which field or area these solutions are established within. This provides clarity and avoids ambiguity.

Common error

Avoid using "established solutions" without specifying the domain or problem it addresses. Doing so can make your writing vague and less impactful.

Linguistic Context

The phrase "established solutions" functions as an adjective-noun combination. "Established" modifies the noun "solutions", indicating that these are not novel or experimental, but rather time-tested and widely recognized approaches. Ludwig AI confirms its correctness and usability.

Expression frequency: Common

Frequent in

Science

41%

News & Media

33%

Formal & Business

14%

Less common in

Encyclopedias

3%

Wiki

3%

Reference

3%

Ludwig's WRAP-UP

In summary, "established solutions" is a grammatically sound and frequently used phrase, indicating methods or approaches that are widely recognized and accepted. As Ludwig AI confirms, it's suitable for diverse writing contexts, especially in science, news, and business. When using this phrase, specify the field or problem it addresses to avoid vagueness. Consider alternatives like "proven methods" or "conventional approaches" for nuanced meaning. Remember, this phrase implies reliability and acceptance rather than innovation. Finally, using "established solutions" well builds confidence and credibility.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

proven methods

Emphasizes the reliability and effectiveness of the solution based on past success.

conventional approaches

Highlights the traditional and widely accepted nature of the solution.

standard practices

Focuses on the solution being part of the routine and accepted procedures.

time-tested techniques

Stresses the longevity and reliability of the solution due to its long history of use.

accepted remedies

Highlights that solutions are generally agreed-upon methods for addressing problems.

recognized strategies

Indicates that the solutions are acknowledged and validated within a specific field.

well-known answers

Highlights the common knowledge and familiarity of the solutions.

traditional resolutions

Implies that the solutions are rooted in established customs and practices.

customary procedures

Emphasizes that the solutions are part of the usual and expected way of doing things.

typical treatments

Refers to solutions that are commonly used and considered normal for a particular issue.

FAQs

How can I use "established solutions" in a sentence?

You can use "established solutions" to refer to methods or approaches that are widely recognized and accepted as effective within a particular field. For example: "The team decided to implement "established solutions" to address the ongoing issues in the project."

What are some alternatives to "established solutions"?

Alternatives include "proven methods", "conventional approaches", or "standard practices", depending on the specific nuance you want to convey.

When is it appropriate to use "established solutions" in writing?

Use "established solutions" when you want to emphasize that the methods or approaches being discussed are not new or experimental, but rather have a track record of success and are widely accepted within a particular field.

What is the difference between "established solutions" and "innovative approaches"?

"Established solutions" refer to methods that are well-known and widely accepted, while "innovative approaches" describe new or cutting-edge methods that may not yet have a proven track record. They represent opposite ends of the spectrum in terms of familiarity and validation.