multiple solutions for

USAGE SUMMARY

The phrase "multiple solutions for" is correct and usable in written English.
It can be used when discussing various answers or approaches to a problem or question. Example: "In mathematics, there are often multiple solutions for complex equations, depending on the methods used."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

We determine multiple solutions for distributed inversion problems.

Computers & Chemical Engineering

A major finding is the existence of multiple solutions for a range of sub-resonant frequencies.

Journal of Biomechanics

To the best of our knowledge, we present multiple solutions for fractional differential equations analytically.

Applied Mathematics and Computation

We find multiple solutions for the same set of conditions, demonstrating nonuniqueness.

Advances in Space Research

The existence of multiple solutions for a class of quasilinear periodic-parabolic boundary value problems is proved.

Nonlinear Analysis: Theory, Methods & Applications

By variational methods, we provide existence results of multiple solutions for quasilinear elliptic equations under the Neumann boundary condition.

Journal of Functional Analysis

This paper deals with the existence of multiple solutions for some classes of nonlinear elliptic Dirichlet boundary value problems.

Journal of Functional Analysis

Since multiple solutions for the same case are useless, agents collaborate among themselves in order to achieve a final decision through a coordinated schema.

Decision Support Systems

There are multiple solutions for reaching any given painting task and tasks can be performed in either of two different directions.

Robotics and Autonomous Systems

The present paper is concerned with the existence of multiple solutions for semi-linear corner-degenerate elliptic equations with subcritical conditions.

Journal of Functional Analysis

By combining the Poincaré Hopf theorem and the splitting theorem, we study the existence of multiple solutions for jumping nonlinear elliptic equations.

Journal of Functional Analysis

Expert writing Tips

Best practice

When presenting "multiple solutions for" a problem, clearly outline each solution's benefits and drawbacks to aid informed decision-making.

Common error

Avoid implying that "multiple solutions for" a problem are entirely unique when they often share common underlying principles or components. Acknowledge shared elements to enhance credibility.

Linguistic Context

The phrase "multiple solutions for" functions as a noun phrase modifier, indicating that there exist several potential answers or approaches to a specific issue or problem. Ludwig AI provides many examples of its usage in diverse contexts.

Expression frequency: Very common

Frequent in

Science

74%

News & Media

12%

Formal & Business

10%

Less common in

Academia

4%

Wiki

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "multiple solutions for" is a grammatically sound and frequently used phrase across various domains, as confirmed by Ludwig AI. It effectively communicates the presence of several potential solutions to a problem. While its usage is most prevalent in scientific contexts, it also appears in news, media, and formal business settings. When employing this phrase, it's important to highlight the unique aspects of each solution while acknowledging any common elements. Alternatives such as "various solutions to" or "several answers for" can offer stylistic variation. Overall, "multiple solutions for" is a versatile and valuable phrase for expressing a range of possible approaches.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

various solutions to

Changes the preposition from "for" to "to" and replaces "multiple" with "various", indicating a range of solutions.

several answers for

Substitutes "solutions" with "answers" and "multiple" with "several", implying different responses to a question or problem.

numerous resolutions for

Replaces "solutions" with "resolutions" and "multiple" with "numerous", suggesting many ways to resolve an issue.

a multitude of answers to

Uses "a multitude of" to express many solutions, shifting the preposition to "to".

different approaches to

Focuses on "approaches" rather than concrete solutions, indicating varied methods.

alternative strategies for

Highlights "strategies" as different solution paths, keeping the "for" preposition.

multiple options regarding

Shifts the focus to "options" and uses "regarding" instead of "for", indicating choices in a situation.

diverse methods of

Emphasizes the "methods" used to solve a problem, using "of" as the preposition.

varied tactics concerning

Focuses on "tactics" and uses "concerning", suggesting different actions related to a specific issue.

many possibilities for

Highlights the "possibilities", suggesting numerous potential outcomes or solutions.

FAQs

How can I use "multiple solutions for" in a sentence?

You can use "multiple solutions for" to indicate that there are various ways to address a particular problem. For example, "Ms Solomon believes there are "multiple solutions for" the problems the system is currently facing".

What are some alternatives to "multiple solutions for"?

Alternatives include "various solutions to", "several answers for", or "numerous resolutions for", depending on the context.

Is it better to provide one comprehensive solution or "multiple solutions for" a problem?

Providing "multiple solutions for" a problem can be beneficial as it allows for flexibility and caters to different needs or constraints. However, ensure each solution is thoroughly vetted and explained.

When is it appropriate to use "multiple solutions for" in academic writing?

It is appropriate when discussing different methodologies, approaches, or outcomes in research. For instance, "We determine "multiple solutions for" distributed inversion problems".