isolated solution

USAGE SUMMARY

The phrase "isolated solution" is correct and usable in written English.
It can be used to refer to a solution that is separate or distinct from other solutions or contexts, often in problem-solving or technical discussions. Example: "In our analysis, we found that the isolated solution to the equation provided the most accurate results."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

In addition to the primary solution branches, which start at low values of ε and possess the expected symmetries, there are also isolated solution branches with symmetric flow structures when convection is strong relative to the reaction.

Chemical Engineering Science

Next, we consider the difference between the isolated solution (u^) and the ((n+i th multilevel augmentation solution, (u_{n, i}), of (1).

Advances in Difference Equations

We give a single-exponential time method for finding all the isolated solution points of a system of polynomials, even in the presence of infinitely many solutions at infinity or elsewhere.

University of California, Berkeley

Obviously ZEIS as a zoning tool is still unable to make the fairest occupation processes possible, not being an isolated solution, but if it is used correctly with other innovative measures and housing solutions, satisfactory results can be achieved.

Land Use Policy

We also show that when the fluid Lewis number is less than unity (Lef<1), there exist bifurcation diagrams of surface temperature versus residence time containing isolated solution branches on which the surface temperature exceeds the adiabatic temperature.

Chemical Engineering Science

The isolated solution is (u^(x) = sin(pi x) + x).

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

In the first, more than 100 participants were given isolated solutions that had one of six different tastes: sweet, salty, sour, bitter, umami and fatty.

The Washington Post

Since (3.3) has only isolated solutions, we have necessarily.

Advances in Difference Equations

As both (2.28) and (2.29) have only isolated solutions, the above two cases show that all real eigenvalues of can be listed as in (2.27).

Advances in Difference Equations

4) Coordinated solutions will be more effective than isolated solutions.

Huffington Post

Intrinsically disordered proteins (IDPs) are proteins that usually do not adopt well-defined native structures when isolated in solution under physiological conditions.

Harvard University

Expert writing Tips

Best practice

When using "isolated solution", ensure the context clearly indicates what it is isolated from. This adds precision and avoids ambiguity in technical writing.

Common error

Avoid using "isolated solution" in casual conversation or general writing. It's a term best suited for technical, scientific, or analytical contexts where precision is important.

Linguistic Context

The phrase "isolated solution" functions as a noun phrase, where "isolated" modifies "solution". It typically refers to a solution that is distinct, separate, or independent from other solutions or contexts. As Ludwig AI confirms, this phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

20%

Formal & Business

10%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "isolated solution" is a grammatically sound and usable phrase, as confirmed by Ludwig AI. It's most commonly found in scientific and technical contexts. The phrase describes a solution that is distinct and separate from others, emphasizing its independence. While it's appropriate for formal and technical discussions, it should be used sparingly in casual conversation. Alternative phrases like ""standalone solution"" or "independent solution" can be used to convey a similar meaning. Remember to ensure the context is clear when using this phrase to avoid any ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

standalone solution

Emphasizes the self-sufficient and independent nature of the solution.

independent solution

Highlights that the solution is not dependent on other factors or solutions.

discrete solution

Focuses on the distinct and separate nature of the solution.

self-contained solution

Stresses that the solution includes everything necessary within itself.

unique solution

Highlights the one-of-a-kind aspect of the solution, implying no other solutions exist.

separate solution

Simply indicates that the solution is not connected to anything else.

individual solution

Emphasizes the single, distinct nature of the solution.

segregated solution

Implies that the solution has been deliberately kept apart from others.

detached solution

Highlights the lack of connection or involvement with other solutions or systems.

solitary solution

Conveys the idea that the solution exists alone, with no companions or alternatives.

FAQs

How to use "isolated solution" in a sentence?

You can use "isolated solution" to describe a solution that is distinct and separate from other solutions or contexts. For example, "In our analysis, we found that the "standalone solution" to the equation provided the most accurate results."

What can I say instead of "isolated solution"?

You can use alternatives like "independent solution", ""standalone solution"", or "unique solution" depending on the context.

When is it appropriate to use the term "isolated solution"?

The term "isolated solution" is most appropriate in technical, scientific, or analytical contexts where you need to emphasize that a particular solution is separate and distinct from other possibilities or influencing factors. It is especially common in mathematical and chemical contexts.

What does "isolated solution" mean in the context of differential equations?

In the context of differential equations, an "isolated solution" refers to a solution that is separated from other solutions in the solution space. Small perturbations will not lead to other valid solutions in the neighborhood of an independent solution.