element of solutions

USAGE SUMMARY

The phrase "element of solutions" is correct and usable in written English.
It can be used when discussing components or aspects that contribute to solving a problem or addressing an issue. Example: "In our analysis, we identified several key elements of solutions that can enhance our approach to sustainability."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Third, a key element of solutions to the crisis should be self-governance.

The Guardian

Further, they proved the strong convergence to a common element of solutions of the variational inequality problem and fixed point problem by using the hybrid method.

Journal of Inequalities and Applications

In this section, we will introduce a new shrinking projection algorithm based on the prediction correction method for finding a common element of solutions to the equilibrium problem (1.1) and fixed points to weak Bregman relatively nonexpansive mappings in Banach spaces, and then the strong convergence of the sequence generated by the proposed algorithm is proved under some suitable conditions.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Very recently, Hao [18] introduced a general iterative method for finding a common element of solution set of quasi variational inclusion problems and of the common fixed point set of an infinite family of nonexpansive mappings.

Fixed Point Theory and Applications

A direct method is proposed to get the solution of linear systems of equations with circulant-like coefficient matrices that find important application in engineering, the elements of solutions are functions of zero points of the characteristic polynomial g z) and g′ z) of circulant matrix, three examples to get the inverse matrix, and the solutions of linear system are presented in the paper.

Applied Mathematics and Computation

A dynamic 'activity' factor is introduced to modify appropriate number of elements of solution x → and achieve hierarchical optimization.

EURASIP Journal on Advances in Signal Processing

The model consists of two population balance equations, describing the changes of fluid elements of solution and crystals, respectively.

Chemical Engineering Science

These are essential elements of solution-focused work.

BMC Public Health

While children received behavior modification instruction, parents/caregivers attended their own support class in which elements of solution-focused brief therapy were used by a psychologist or dietitian.

Diabetes Care

The learner's profile constitutes the key element of these solutions.

Procedia Computer Science

Many iterative methods are purposed for finding a common element of the solutions of the equilibrium problem and fixed point problem of nonexpansive mappings, see [8 10].

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using "element of solutions", ensure that the context clearly defines what constitutes a 'solution' and how the identified element contributes to it. This improves clarity and avoids ambiguity.

Common error

Avoid using "element of solutions" when simpler terms like "part" or "aspect" would suffice. Overusing the phrase in straightforward situations can make your writing sound unnecessarily complex or pretentious.

Linguistic Context

The phrase "element of solutions" functions as a noun phrase, typically serving as a subject complement or object within a sentence. It identifies a necessary component or aspect contributing to resolving a problem or achieving a desired outcome. Ludwig confirms its correct usage.

Expression frequency: Uncommon

Frequent in

Science

67%

News & Media

22%

Formal & Business

11%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "element of solutions" is a grammatically correct noun phrase used to denote a necessary component or aspect of resolving a problem. As Ludwig AI confirms, it is correctly used in English. It's most frequently found in scientific and formal contexts. While relatively uncommon, using this phrase requires careful consideration to ensure the context warrants its level of formality. Consider alternatives such as "component of solutions" or "aspect of solutions" if a simpler expression is more appropriate.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

component of solutions

Replaces "element" with "component", emphasizing a part or piece of the solutions.

aspect of solutions

Substitutes "element" with "aspect", focusing on a particular feature or angle of the solutions.

part of solutions

Uses "part" instead of "element", indicating a segment or portion of the solutions.

feature of solutions

Replaces "element" with "feature", highlighting a notable characteristic of the solutions.

constituent of solutions

Employs "constituent" instead of "element", suggesting a component that forms part of a whole.

ingredient of solutions

Substitutes "element" with "ingredient", implying a necessary component for achieving the solutions.

factor in solutions

Uses "factor" instead of "element", highlighting a contributing cause or influence in the solutions.

key to solutions

Replaces "element of" with "key to", emphasizing the importance and necessity of something to unlock the solutions.

building block of solutions

Substitutes "element" with "building block", implying a fundamental component upon which the solutions are constructed.

cornerstone of solutions

Uses "cornerstone" instead of "element", highlighting a vital and essential foundation for the solutions.

FAQs

What are some alternatives to "element of solutions"?

You can use alternatives like "component of solutions", "aspect of solutions", or "part of solutions" depending on the context.

How do I use "element of solutions" in a sentence?

The phrase "element of solutions" is used to describe a necessary or contributing part of a solution. For example: "Clear communication is a key element of solutions for conflict resolution."

Is it correct to say "elements of solutions"?

Yes, "elements of solutions" is the plural form and is appropriate when referring to multiple contributing factors. For example: "Identifying all the elements of solutions is crucial for effective problem-solving."

What is the difference between "element of solutions" and "aspect of solutions"?

"Element of solutions" implies a necessary component, while "aspect of solutions" refers to a particular feature or angle of the solution. The choice depends on whether you want to emphasize a required part or a specific characteristic.