an admissible solution

USAGE SUMMARY

The phrase "an admissible solution" is correct and usable in written English.
It can be used in contexts such as mathematics, optimization, or decision-making, where a solution meets certain criteria or constraints. Example: "After evaluating the options, we found that an admissible solution exists that satisfies all the requirements of the problem."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

25 human-written examples

It is uncertain whether the excluded q-difference equation has an admissible solution.

Advances in Difference Equations

Let us single out an admissible solution from (3.22) and (3.23) using the entropy condition (3.17).

Boundary Value Problems

Let (uin C^4(Omega )) be an admissible solution of Eq. (1.1) in (Omega ).

Bulletin of Mathematical Sciences

By the entropy condition (3.17), we choose (3.22) as an admissible solution.

Boundary Value Problems

Then there exists an admissible solution (u in C^{1,1}({bar{Omega }})) of the boundary value problem, (1.1)–(1.1).

Bulletin of Mathematical Sciences

We write x t (i.e. x ( t ; φ ) ) for an admissible solution of admissible initial value problem (1.2) and (1.4).

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

35 human-written examples

Then, by using the invertibility of restricted equivalent relations, a constructive method for designing distributed controller is presented which also yields an explicit admissible solution for the generalized algebraic Riccati equation.

Journal of the Franklin Institute

A largest admissible solution is preferable because such a solution is more likely to cover the whole source route (i.e. to not miss any part of it).

European Transport Research Review

Sufficient conditions on the regions for the curvature data are derived, implying the existence of a real admissible solution.

Applied Mathematics and Computation

The current modus operandi of GIMME is to sort them out later by choosing a largest admissible solution as the final solution for the source route (cf. Algorithm 1, line 11).

European Transport Research Review

Assume either (hbox {F5}^) holds or B is independent of p. Then there exists a unique admissible solution (u in C^{3,alpha }({bar{Omega }})) of the boundary value problem (1.1)–(1.2), for any (alpha <1).

Bulletin of Mathematical Sciences

Expert writing Tips

Best practice

When using "an admissible solution" in technical writing, clearly define the criteria that make a solution admissible within the specific context. This ensures clarity and avoids ambiguity.

Common error

Avoid assuming that "an admissible solution" is necessarily the best solution. Admissibility only means the solution meets the minimum requirements, not that it's the most efficient or effective.

Linguistic Context

The phrase "an admissible solution" functions as a noun phrase, where "admissible" is an adjective modifying the noun "solution". It indicates a solution that meets certain specified criteria or constraints. As Ludwig AI confirms, the phrase is grammatically correct and usable in English.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

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Ludwig's WRAP-UP

In summary, "an admissible solution" is a noun phrase used to describe a solution that meets specific criteria or constraints. As confirmed by Ludwig AI, this phrase is grammatically correct and commonly found in scientific and technical contexts. When writing, it's important to clearly define the criteria for admissibility to avoid ambiguity and to remember that admissibility doesn't necessarily equate to optimality. Consider using alternatives like "a feasible solution" or "an acceptable solution" depending on the nuance you wish to convey. Remember that the term "an admissible solution" is appropriate where precision and adherence to specific rules are paramount.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a feasible solution

Changes the adjective to emphasize practicality and possibility.

a viable solution

Emphasizes the workability and sustainability of the solution.

an acceptable solution

Indicates that the solution meets the minimum required standards.

a permissible solution

Highlights that the solution is allowed or authorized within a given framework.

a valid solution

Focuses on the solution being sound and well-founded.

a satisfactory solution

Suggests the solution meets expectations and provides contentment.

a tenable solution

Implies the solution is defensible and can be maintained.

a tolerable solution

Indicates the solution is acceptable despite potential drawbacks.

a compliant solution

Highlights that the solution adheres to specific rules or standards.

a legitimate solution

Suggests the solution is lawful and recognized.

FAQs

How is "an admissible solution" typically used in a sentence?

Typically, "an admissible solution" is used to describe a solution that meets a set of predefined criteria or constraints. For example: "The Riemann solver we propose herein investigates sequentially each of these configurations until "an admissible solution" is calculated."

What are some alternatives to "an admissible solution"?

You can use alternatives such as "a feasible solution", "a viable solution", or "an acceptable solution", depending on the specific nuance you want to convey.

In what contexts is it most appropriate to use "an admissible solution"?

It is commonly used in mathematics, engineering, and computer science to describe solutions that satisfy specific conditions. It's also suitable in any field where a solution must meet particular criteria to be considered valid.

What distinguishes "an admissible solution" from a mere 'solution'?

While any 'solution' addresses a problem, "an admissible solution" specifically satisfies a defined set of rules, conditions, or constraints. A solution might exist, but it's only admissible if it meets the required criteria.