equivalent solution

USAGE SUMMARY

The phrase "equivalent solution" is correct and usable in written English.
It can be used in contexts where you are discussing solutions that have the same effect or result, often in scientific, mathematical, or technical discussions. Example: "In our experiment, we found that the new formula provided an equivalent solution to the previous one, yielding the same results."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

16 human-written examples

The movie shows the effect of mixing a solution of cage 3-R with an equivalent solution of cage 3-S - see 'Figure 27' legend in Supplementary Information file.

Nature

Our results show that inkjet printable graphene inks, without any chemical functionalization, offers a flexible and scalable fabrication route, with a material cost of only ∼2.7% of the equivalent solution processed Pt-based electrodes.

Carbon

While you may be able to build an equivalent solution using non-Microsoft technologies, your ability to maintain it over the long-haul is a question worth asking.

Forbes

Diffeomorphism invariance means, informally, that one can take a solution of Einstein's equations and drag it (meaning the metric and the matter fields) around on the spacetime manifold and obtain a mathematically distinct but physically equivalent solution.

SEP

Such integral presentation of the derivative of reciprocal gamma function, and also HC is known, but the equivalent solution (3.1) is not explained enough with the alternative members of the psi functions.

Advances in Difference Equations

If the MSER precoder matrix has equal elements, it can be shown that there exists an equivalent solution (which is also optimal in the MSER sense) of the form (see Appendix E): (39).

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

44 human-written examples

There are equivalent solutions for PCs.

Stanford University

The optimization algorithm has conducted to a set of equivalent solutions named Pareto optimal set.

Chemical Engineering Research and Design

In MathWorld, an online mathematical journal (mathworld.wolfram.com), Eric W. Weisstein cited research showing that 6,670,903,752,021,072,936,960 completed grids are possible for sudoku puzzles, though only 5,472,730,538 unique grids remain once equivalent solutions are eliminated.

The New York Times - Arts

Such an approach appears more effective than other traditional inversion methods because it allows to calculate exhaustively a probabilistic description of the equivalent solutions.

Journal of Applied Geophysics

MoSELECT searches the product-space of a virtual combinatorial library to generate a family of equivalent solutions where each solution represents a combinatorial subset of the virtual library optimised over multiple objectives.

Journal of Molecular Graphics and Modelling

Expert writing Tips

Best practice

When using "equivalent solution", ensure the context clearly defines what makes the solutions equivalent. Specify the criteria or parameters by which they are considered the same.

Common error

Avoid using "equivalent solution" when the solutions are only similar but not truly interchangeable. Clearly differentiate between "equivalent" and "similar" to maintain accuracy.

Linguistic Context

The phrase "equivalent solution" functions as a noun phrase, where the adjective "equivalent" modifies the noun "solution". It describes a solution that is essentially the same as another in terms of its effect or outcome. Ludwig AI validates this usage.

Expression frequency: Common

Frequent in

Science

65%

News & Media

20%

Academia

10%

Less common in

Formal & Business

3%

Wiki

2%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "equivalent solution" is a versatile term used to describe solutions that have the same effect or outcome, making them interchangeable in a given context. As highlighted by Ludwig AI, it is grammatically correct and finds frequent application across diverse fields, particularly in science, news, and academia. When using "equivalent solution", clarify the criteria that define the equivalence. Alternatives such as "comparable solution" or "identical solution" can provide more specific nuances. Remember to avoid overstating the equivalence when the solutions are merely similar. The abundance of real-world examples reinforces its relevance and broad applicability.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

comparable solution

Focuses on the similarity between solutions, suggesting they are alike in quality or effectiveness.

identical solution

Emphasizes that the solutions are exactly the same.

equal solution

Focuses on the equality in outcome or value provided by the solutions.

alternative solution

Indicates there is another way to resolve the issue.

interchangeable solution

Highlights the ability to use the solutions in place of each other without affecting the outcome.

corresponding solution

Suggests the solution is related or linked to a specific problem or requirement.

parallel solution

Implies that the solution runs alongside another, achieving similar results.

matching solution

Indicates that the solution is perfectly suited or tailored to a specific need.

duplicate solution

Refers to a solution that is a direct copy or replication of another.

synonymous solution

Emphasizes that the solutions are virtually identical in meaning or application.

FAQs

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

You can use "equivalent solution" to describe an alternative approach that yields the same results. For example, "The new software offers an "equivalent solution" to the previous version, but with a more user-friendly interface."

What are some alternatives to "equivalent solution"?

Some alternatives to "equivalent solution" include "comparable solution", "identical solution", or "alternative solution", depending on the specific nuance you want to convey.

Which is correct, "equivalent solution" or "similar solution"?

"Equivalent solution" implies that the solutions are functionally the same and produce the same results. "Similar solution" suggests that the solutions share some characteristics but may not be entirely interchangeable. The choice depends on the degree of similarity you want to emphasize.

What's the difference between "equivalent solution" and "equal solution"?

While both terms suggest a degree of sameness, "equivalent solution" often implies a functional equivalence, meaning they achieve the same outcome, even if the method differs. "Equal solution" can suggest a more direct equality in terms of the steps or resources involved. However, in many contexts, they are used interchangeably.