been utilized to solve

USAGE SUMMARY

The phrase "been utilized to solve" is correct and usable in written English.
It can be used when discussing methods or tools that have been employed to address a particular problem or challenge. Example: "Various algorithms have been utilized to solve complex optimization problems in the field of operations research."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

The SVR has been utilized to solve nonlinear regression problems successfully.

Robotics and Computer-Integrated Manufacturing

In particular, selected methods that are well defined in the literature, such as the modified Newtonian method, transformed finite difference grids, and the method of characteristics in the supersonic region, have been utilized to solve two cases of interest.

Aerospace Science and Technology

The ATM with evolutionary strategy (ATMES) as the search optimizer has been utilized to solve COPs.

Chinese Journal of Mechanical Engineering

with A limited number of methods have been utilized to solve this initial value problem.

Advances in Difference Equations

These kinds of chaotic neural networks have been utilized to solve optimization problems [14].

Advances in Difference Equations

The projection method, which was first introduced by Haugazeau [16], has been utilized to solve the mixed equilibrium problem, the generalized equilibrium problem, and equilibrium problems in Banach spaces (see, e.g., Qin et al. [17], Cholamjiak et al. [18], Cho et al. [19], Ceng and Yao [7], and the references therein).

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Operator-theoretic methods are utilized to solve the transient problems.

Chemical Engineering Science

Two steps are utilized to solve the problem.

Journal of Sound and Vibration

In this paper, two concepts of composite and hybrid were utilized to solve the obstacles.

Procedia Engineering

A stabilized finite element formulation, in primitive variables, is utilized to solve the governing equations.

Computers & Fluids

Finally, a morphological feature and the color-histogram are utilized to solve occlusion issues.

Signal Processing

Expert writing Tips

Best practice

When using "been utilized to solve", ensure the subject performing the action is clear. This phrase works best when the actor employing the method is explicitly stated or easily inferred from the context.

Common error

Avoid using "been utilized to solve" in casual conversation or informal writing. Opt for simpler alternatives like "used to fix" or "applied to address" to maintain a natural tone.

Linguistic Context

The phrase "been utilized to solve" functions as a passive construction, indicating that a particular method, tool, or strategy has been employed to address a specific problem. As Ludwig AI indicates, this construction is grammatically correct and usable.

Expression frequency: Uncommon

Frequent in

Science

70%

Academia

20%

Formal & Business

5%

Less common in

News & Media

3%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, "been utilized to solve" is a grammatically correct phrase commonly found in formal and scientific writing. As Ludwig AI confirms, it effectively conveys the application of a method or tool to address a problem. While precise and appropriate for technical contexts, simpler alternatives like "been used to solve" or "been applied to fix" may be more suitable for informal communication. Remember to ensure clarity by explicitly stating the subject employing the solution.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

been employed to resolve

Replaces "utilized" with "employed" and "solve" with "resolve", offering a slightly more formal tone.

been used to address

Substitutes "utilized" with the simpler "used" and "solve" with "address", making the phrase more accessible.

been leveraged to overcome

Replaces "utilized" with "leveraged" and "solve" with "overcome", suggesting a strategic advantage.

been implemented to tackle

Replaces "utilized" with "implemented" and "solve" with "tackle", indicating a practical application.

been harnessed to rectify

Substitutes "utilized" with "harnessed" and "solve" with "rectify", implying controlled usage to correct something.

been applied to fix

Replaces "utilized" with "applied" and "solve" with "fix", offering a more straightforward and informal alternative.

been instrumental in resolving

Highlights the importance of the method, replacing "utilized" with "instrumental" and changing "solve" to "resolving".

been adapted to handle

Implies modification for a specific purpose, replacing "utilized" with "adapted" and "solve" with "handle".

been designed to combat

Focuses on proactive efforts, replacing "utilized" with "designed" and "solve" with "combat".

been administered to correct

Suggests a careful application, replacing "utilized" with "administered" and "solve" with "correct".

FAQs

How can I rephrase "been utilized to solve" for clarity?

You can use clearer alternatives like "been used to address", "been employed to resolve", or "been applied to fix" depending on the context.

Is "been utilized to solve" too formal for everyday language?

Yes, "been utilized to solve" is generally considered formal. For everyday language, simpler phrases like "used to fix" or "helped to solve" are more appropriate.

What's the difference between "been utilized to solve" and "been used to solve"?

"Been utilized to solve" implies a more deliberate and strategic application compared to "been used to solve", which is more general. The former is often found in technical or formal contexts.

In what contexts is "been utilized to solve" most appropriate?

"Been utilized to solve" is most appropriate in formal writing, such as academic papers, technical reports, and professional documents where precision and a formal tone are desired.