a restricted problem

USAGE SUMMARY

The phrase "a restricted problem" is correct and usable in written English.
It can be used to describe a problem that has limitations or constraints placed on it, often in a mathematical or theoretical context. Example: "In our research, we focused on a restricted problem that only considered specific variables to simplify the analysis."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Most of the published articles deal however with a restricted problem: spectrum management.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Theorem 2.2 E α ( E, A ( t ) ) = E α ( E, A ( 0 ) ) for all 0 < α < 1 and 0 ≤ t ≤ 1. Problem (2) is not well posed in C ( E ) for arbitrary E. It turns out that a Banach space E can be restricted to a Banach space E ′ in such a manner that the restricted problem (2) in E ′ will be well posed in C ( E ′ ).

Boundary Value Problems

Using the well-known mountain-pass theorem, we conclude that the functional J T has a nontrivial critical point u T, λ ∈ X T, which is a solution of the restricted problem ( u ′ | u ′ | p − 2 ) ′ − a ( x ) u | u | p − 2 + λ b ( x ) u | u | q − 2 = 0, x ∈ ( − T, T ), u ( − T ) = u ( T ) = 0. (2).

Boundary Value Problems

⇒: Let R′ be a solution of the restricted problem for 𝒞′ of size k + 1, there are two cases to consider.

Bioinformatics

We also show an algorithm that solves the restricted problem.

BMC Genomics

We prove that there is a solution R′ of size k + 1 of the restricted problem for 𝒞′ iff there is a solution R of size k of the general problem for 𝒞.

Bioinformatics

The equations developed here are verified by numerical integrations, using the restricted problem of three bodies, showing an agreement better than 1%.

Advances in Space Research

Much effort in chemoinformatics has been devoted to the more restricted problem of mining the chemical space for interaction with a single target t, using a training set of molecules c1,…, c n known to interact or not with the target.

Bioinformatics

where λ=(λ ℓ,λ h ) is the vector of multipliers for the restricted problem.

Agricultural and Food Economics

However, this restricted problem is still NP-hard due to its combinatorial nature.

CIRP Journal of Manufacturing Science and Technology

Almost all of the numerical simulations to date have dealt with the restricted problem of one-dimensional transport.

Journal of Computational Physics

Expert writing Tips

Best practice

Use "a restricted problem" when you need to emphasize the limited scope or conditions of a particular problem. It helps to frame the discussion and set expectations appropriately.

Common error

Avoid using "a restricted problem" if the restrictions are vague or undefined. Ensure that the limitations are clear and contribute meaningfully to the problem's definition.

Linguistic Context

The phrase "a restricted problem" functions as a noun phrase where the adjective "restricted" modifies the noun "problem". This indicates that the problem is not general but has specific limitations or constraints. As per Ludwig AI, the phrase is correct and usable in written English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "a restricted problem" is a grammatically correct noun phrase used to describe a problem with specific limitations or constraints. As Ludwig AI confirms, it's suitable for written English, particularly in formal and scientific contexts. While alternatives like "a limited problem" or "a constrained problem" exist, the key is to clearly define the restrictions to avoid ambiguity. Usage frequency is rare, so ensure clarity when employing this phrase. Common errors include overgeneralizing the restrictions, so be precise in your definitions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a limited problem

Replaces "restricted" with "limited", indicating a problem with boundaries or constraints.

a constrained problem

Uses "constrained" to emphasize the limitations imposed on the problem.

a narrow problem

Specifies the problem has a limited scope or range.

a defined problem

Highlights that the problem has clear boundaries and parameters.

a bounded problem

Similar to "constrained", suggesting the problem has limits that define its scope.

a specific problem

Focuses on the problem being clearly defined and not general.

a particular problem

Indicates that the problem is unique and not broadly applicable.

a confined problem

Emphasizes that the problem is limited to a certain area or scope.

a circumscribed problem

Suggests the problem is clearly marked with defined limits.

a specialized problem

Indicates that the problem relates to a specific field or area of expertise.

FAQs

How can I use "a restricted problem" in a sentence?

You can use "a restricted problem" to describe a specific scenario or question with defined limits or constraints. For example, "The study focused on "a restricted problem" to simplify the analysis and obtain clearer results."

What are some alternatives to "a restricted problem"?

Alternatives include "a limited problem", "a constrained problem", or "a specific problem". The best choice depends on the nuance you want to convey.

When is it appropriate to use "a restricted problem"?

Use "a restricted problem" when the problem being discussed has specific limitations or constraints that are important to understanding its scope and possible solutions. This is particularly relevant in technical or analytical contexts.

Is "a restricted problem" formal or informal?

"A restricted problem" is suitable for both formal and informal contexts, although it's more commonly found in academic, scientific, or technical discussions. The key is to ensure the restrictions are clearly defined regardless of the setting.