associated solutions

USAGE SUMMARY

The phrase "associated solutions" is correct and usable in written English.
It can be used when referring to solutions that are linked or related to a particular problem or context. Example: "The research team presented several associated solutions to address the environmental issues identified in the study."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

16 human-written examples

Suppose (q^{ast}) and (q_{L}^{ast}) are, respectively, the solutions of the continuous optimization problem (2.12) and its discrete counterpart (3.3), (u(q^{ast})) and (u_{L}(q^{ast}_{L})) are the state solutions of (2.9) and (3.2) associated to (q^{ast}) and (q_{L}^{ast}), respectively, (z(q^{ast})) and (z_{L}(q^{ast}_{L})) are the associated solutions of (2.22) and (3.6), respectively.

Advances in Difference Equations

The main issues investigated and the associated solutions adopted are concisely described in the paper.

Journal of Nuclear Materials

If public policy neglects such concerns, its account of the challenge we face is impoverished, and the associated solutions quickly become grossly inadequate.

The Washington Post

This paper presents a formalized schema that can be used to capture clash features and associated solutions during MEP coordination.

Automation in Construction

After getting the solutions in the Laplace domain, their associated solutions in real time domain can be determined by numerical inversion of Laplace transform.

Composites Part B: Engineering

Students engaged in either problem-solving (where they generated solutions to a novel problem) or problem-posing (where they generated problems, and where possible, the associated solutions) prior to learning a novel math concept.

Learning and Instruction

Human-verified similar examples from authoritative sources

Similar Expressions

44 human-written examples

Table 1 Cluster types and associated solution values Solution value Cluster type Name > = 1 Cluster of high value Hot spot 0 Outside of cluster   <=-1 Cluster of low value Cold spot.

Open Geospatial Data, Software and Standards

A thermodynamic description of the complex formation is discussed in the framework of a model of ideal associated solution.

Acta Materialia

An associated solution theory based on the UNIQUAC equation is developed to describe the excess properties of the alcohols in unassociated active components.

Chemical Engineering Science

Here, (tilde{mathbf{u}}_{0}) represents a perturbed initial condition and (tilde{mathbf{u}}(t)) its associated solution.

The Journal of Mathematical Neuroscience

Though not typically associated with solutions to poverty, this type of intervention is based on research pioneered in the Psychology Department at Stanford.

Stanford University

Expert writing Tips

Best practice

When using the phrase "associated solutions", ensure that the connection between the solutions and the problem or context is clear to avoid ambiguity.

Common error

Avoid using "associated solutions" as a generic filler; make sure each solution is demonstrably linked to the problem you're addressing. Don't use it just to sound formal.

Linguistic Context

The phrase "associated solutions" functions as a noun phrase, where "associated" modifies the noun "solutions". It typically identifies a set of solutions that are connected to or related to a specific problem or context. Ludwig examples showcase this usage across various domains.

Expression frequency: Common

Frequent in

Science

50%

News & Media

25%

Formal & Business

25%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "associated solutions" is a common and grammatically correct phrase used to denote solutions that are linked or related to a specific problem or context. Ludwig AI confirms its validity. It is most frequently used in scientific and academic writing, but also appears in news and business contexts. When using this phrase, clarity is key: ensure the connection between the solutions and the problem is evident. Alternatives like "related solutions" or "connected solutions" can be used for variety. Avoid using it as generic filler; ensure a demonstrable link exists between each solution and the issue at hand.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

related solutions

Replaces "associated" with a direct synonym, maintaining a similar meaning.

linked solutions

Emphasizes the connection between the solutions and a specific problem or context.

connected solutions

Highlights the interdependence or relationship among the solutions.

corresponding solutions

Indicates a direct relationship or matching between solutions and specific problems.

relevant solutions

Focuses on the applicability and pertinence of the solutions to a particular issue.

applicable solutions

Emphasizes the suitability of the solutions for a specific situation.

pertinent solutions

Highlights the relevance and importance of the solutions.

interrelated solutions

Stresses the mutual relationship and dependence among multiple solutions.

aligned solutions

Indicates that the solutions are in agreement or harmony with a specific goal or strategy.

affiliated solutions

Implies a connection or partnership between the solutions and a specific organization or entity.

FAQs

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

You can use "associated solutions" to refer to solutions that are connected or related to a particular problem or context. For example: "The research team presented several "related solutions" to address the environmental issues identified in the study."

What are some alternatives to "associated solutions"?

Some alternatives to "associated solutions" include "related solutions", "linked solutions", or "connected solutions", depending on the specific nuance you want to convey.

Is it appropriate to use "associated solutions" in formal writing?

Yes, "associated solutions" is appropriate for formal writing, particularly in academic, scientific, or professional contexts, as it indicates a clear relationship between problems and their respective solutions.

What is the difference between "associated solutions" and "possible solutions"?

"Associated solutions" implies a demonstrated or understood link between a problem and a solution, while "possible solutions" simply suggests potential options without necessarily a clear connection or proven effectiveness.