it admits a solution

USAGE SUMMARY

The phrase "it admits a solution" is correct and usable in written English.
You can use it in contexts where you are discussing problems or equations that have at least one solution. Example: "The mathematical equation is complex, but after careful analysis, it admits a solution that satisfies all conditions."

✓ Grammatically correct

Science

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

It turns out that if q1 + s1 < m or q1 + s1 = m and a(x)(= constant) is sufficiently small, there exists a global solution of problem (1.1 - 1.3 1.1 - 1.3 s1 > m, the solutifn of problem (1.1)-(1.3) blows up for large initial datum while it admits a global solution for small initial datum.

Boundary Value Problems

We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation.

Journal of Functional Analysis

The GRE (2.6) is said to be regularly solvable on [t,T] if it admits a regular solution.

Probability, Uncertainty and Quantitative Risk

Thereafter we can rely on the main statement given in [12] and apply its result to the boundary value problem (15); hence we conclude that it admits a unique solution in ((0,1 times -b,0)) that is continuously differentiable everywhere in its closure, possibly except along the mentioned characteristics.

Boundary Value Problems

It has already been proved in [37] that problem (2) is well-posed on the continuous level, i.e. it admits a unique solution u = (u, ϕ ) ∈ H. Let T ℓ be a regular triangulation of Ω into triangles T j ∈ T ℓ and E ℓ Γ a partition of the coupling boundary Γ into piecewise affine line segments E j ∈ E ℓ Γ. Throughout, the index ℓ ∈ N 0 indicates the current step of the adaptive loop considered below.

Engineering Analysis with Boundary Elements

When λ 1, λ 2 are set to be 1, 1 2, respectively, (H3) is also true, so from Theorems 3.1 and 4.2, it admits a unique periodic solution, with all other solutions converging to it exponentially as n → ∞ (see Figures 1-3).

Advances in Difference Equations

Generally, it admits a unique classical solution.

Boundary Value Problems

Note that it admits a unique periodic solution.

Advances in Difference Equations

Thus system (2.11) is affine (it consists of a sum of a linear transformation and a constant) and, therefore, by using a contraction argument, it admits a unique local solution defined on some time interval [ 0, T ].

Boundary Value Problems

From our theoretical results, we will deduce that if a periodic dissipative system of Marchaud inclusions possesses at most a finite number of subharmonic periodic solutions or, in particular, entirely bounded solutions, then it admits a discretely essential periodic solution.

Fixed Point Theory and Applications

By Theorem 1.1, it follows that problem (1.1) admits a solution.

Boundary Value Problems

Expert writing Tips

Best practice

When using "it admits a solution", ensure the subject you're referring to is clearly defined to avoid ambiguity. For instance, specify the equation, problem, or system that admits the solution.

Common error

Avoid implying that "it admits a solution" means it has only one solution. The phrase simply indicates that at least one solution exists, not that it's unique or optimal.

Linguistic Context

The phrase "it admits a solution" functions as a statement of existence. It asserts that a particular problem, equation, or system has at least one solution. Ludwig examples demonstrate its use in mathematical and scientific contexts.

Expression frequency: Common

Frequent in

Science

90%

Formal & Business

5%

News & Media

5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "it admits a solution" is a statement affirming that a problem, equation, or system has at least one solution. According to Ludwig, it is grammatically correct and frequently found in scientific and technical contexts. While not implying uniqueness, the phrase is a common way to express solvability in formal writing. Remember to clearly define the subject and be aware of potential misinterpretations regarding the nature of the solution. Alternatives like "it has a solution" can offer simpler ways to express the same concept.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

it has a solution

Replaces "admits" with "has", a more common and direct synonym.

a solution exists for it

Reorders the sentence to emphasize the existence of a solution.

it is solvable

Converts the phrase into an adjective describing the problem.

a solution is possible

Expresses the possibility of a solution rather than its admission.

it yields a solution

Uses "yields" to suggest the solution is a result of a process.

it offers a solution

Replaces "admits" with "offers", implying the solution is readily available.

it presents a solution

Similar to "offers", but suggests the solution is being put forward for consideration.

it allows for a solution

Focuses on the permissibility of a solution within the given constraints.

a solution can be found for it

Emphasizes the ability to discover a solution through effort.

it is amenable to a solution

Uses "amenable" to describe the problem's receptiveness to a solution.

FAQs

How can I rephrase "it admits a solution" to sound more formal?

For a more formal tone, consider alternatives such as "a solution exists", "it possesses a solution", or "it is solvable" depending on the specific context.

Is "it admits a solution" the same as "it has a unique solution"?

No, "it admits a solution" simply means there is at least one solution. "It has a unique solution" indicates that there is only one possible solution.

In what contexts is "it admits a solution" commonly used?

This phrase is frequently used in mathematical, scientific, and technical writing to indicate that a given equation, problem, or system has at least one solution. It's often found in research papers, textbooks, and technical reports.

What are some common mistakes to avoid when using the phrase "it admits a solution"?

A common mistake is to assume that "it admits a solution" implies that the solution is easily found or that it is the only possible solution. Clarify the nature of the solution if necessary to avoid misinterpretations.