a trial solution

USAGE SUMMARY

The phrase "a trial solution" is correct and usable in written English.
It can be used when referring to a preliminary or experimental answer or approach to a problem, often in contexts like research or testing. Example: "We implemented a trial solution to assess its effectiveness before committing to a final design."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

The solution is called a trial solution or an equilibrium solution.

Advances in Difference Equations

First, an adaptive selection of the sample size for the periodic fitness evaluation of a trial solution based on the fitness variance in its local neighborhood is proposed.

Artificial Intelligence

To find the correspondence between Eqs. (17) and (21), it is sufficient to apply a ray-theoretical model of the image P (t, x, eta) = A (x, eta) f (t - tau (x, eta)) (22)as a trial solution to (21).

Journal of Petroleum Exploration and Production Technology

Aiming at the exact solutions, we substitute a trial solution ξ ( x, y, z, t ) = λ ( y, z, t ) + e α ( t ) x + β ( y, z, t ), Open image in new window (21).

Journal of Theoretical and Applied Physics

If the decrease in error values, denoted as Δ E, is negative (i.e. the error of a trial solution is below that of the current one), then the trial solution is accepted as the current solution.

EURASIP Journal on Image and Video Processing

A trial solution, E y  = e ζz cos νx, valid for a line current system, is substituted into Eq. (3) to give left[ {frac{{partial^{2} }}{{partial x^{2} }} + frac{{partial^{2} }}{{partial z^{2} }}} right]left( {{text{e}}^{zeta z} cos nu x} right) = left[ { - nu^{2} + zeta^{2} } right]left( {{text{e}}^{zeta z} cos nu x} right) = {text{i}}omega mu_{o} sigma left( {{text{e}}^{zeta z} cos nu x} right).

Earth, Planets and Space

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

The proposed method is capable of solving the plate problems with different boundary conditions via a step-by-step derivation without any trial solutions.

Applied Mathematics Letters

During iterations, only the best solution visited is memorized as a tabu point in the search space and the distance from each trial solution to the tabu point is an important factor in the fitness evaluation.

Pattern Recognition

TR and Semi-TR No new trial solution is allowed to be generated in a TR.

Mathematical Sciences

After such baseline measurements, animals received a rapid intravenous infusion (over 30 min) of 1 L of trial solution.

Intensive Care Medicine Experimental

The algorithms are based on evolving a set of trial solutions iteratively until an optimum is reached, at which point the experiment ends.

Chemical Physics Letters

Expert writing Tips

Best practice

When discussing research or problem-solving, use "a trial solution" to indicate that the proposed answer is preliminary and subject to further testing or refinement.

Common error

Do not present "a trial solution" as a definitive answer. Emphasize its experimental nature and the possibility of future modifications.

Linguistic Context

The phrase "a trial solution" functions as a noun phrase, typically serving as the object of a verb or the subject of a clause. It describes a proposed answer or approach that is being tested or evaluated. As Ludwig AI confirms, it's usable in written English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "a trial solution" is a grammatically correct and usable term, as verified by Ludwig AI, primarily employed within scientific and technical contexts. It signifies a preliminary or experimental answer that requires further testing and refinement. When using this phrase, it's crucial to emphasize its tentative nature and avoid presenting it as a definitive solution. Alternatives like "experimental solution" or "preliminary solution" can be used to convey similar meanings. The frequency of this phrase is uncommon, mainly appearing in scientific publications. Its function is to convey a concept under evaluation, and not a certainty.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

an experimental solution

Emphasizes the experimental nature of the solution being proposed.

a preliminary solution

Highlights the solution's initial and not yet finalized status.

a tentative solution

Suggests the solution is subject to change and not firmly established.

a test solution

Focuses on the solution being used for testing or evaluation purposes.

a proposed solution

Indicates the solution is being suggested but not yet implemented or proven.

a pilot solution

Implies the solution is being implemented on a small scale to assess its feasibility.

a speculative solution

Suggests the solution is based on conjecture and not necessarily on solid evidence.

a working hypothesis

Framing the solution as a hypothesis being tested in a practical setting.

a potential remedy

Highlights the solution's ability to fix or alleviate a problem but hasn't been tested yet.

a suggested approach

Presents the solution as one possible method or strategy among others.

FAQs

How can I use "a trial solution" in a sentence?

You can use "a trial solution" to describe a preliminary or experimental approach to solving a problem. For example: "We implemented "a trial solution" to assess its effectiveness."

What's a good alternative to "a trial solution"?

Alternatives include "an experimental solution", "a preliminary solution", or "a tentative solution", depending on the context.

Is it appropriate to use "a trial solution" in formal writing?

Yes, "a trial solution" is appropriate for formal and scientific writing, particularly when discussing research methodologies or problem-solving approaches. It clearly indicates that the solution is being tested or evaluated.

What's the difference between "a trial solution" and "a final solution"?

"A trial solution" is a preliminary answer that is being tested, whereas "a final solution" is the confirmed and implemented answer to a problem. The former implies further evaluation, while the latter indicates completion.