Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
Double constraints
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "Double constraints" is correct and usable in written English.
It can be used in contexts where two limitations or restrictions are being discussed, often in fields like mathematics, economics, or project management. Example: "The project faced double constraints in terms of budget and time, making it challenging to meet the deadlines."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(1)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
5 human-written examples
Hai et al. [21] applied double constraints to the problem.
Third, a structure and a unique representation of frequent itemsets with extended double constraints are shown by representative closed itemsets and their generators.
The main reason is that, when the extended double constraints changes, MFS-EDC executes without creating the lattice of closed itemset and their generators again from the dataset.
Let T_EDC, T_PP_EDC, and T_E_EDC be the average execution times of MFS-EDC, MFS-PP-EDC, and MFS-E-EDC for 100 selected extended double constraints.
Thus, using the lattice of closed itemsets and their generators which is also used in [2, 3, 15, 16, 17], we study and propose a new method to effectively mine frequent itemsets with above constraints, called extended double constraints (EDC).
Human-verified similar examples from authoritative sources
Similar Expressions
55 human-written examples
We also propose an efficient algorithm MFS_EDC to exploit all frequent ones with extended double constraint.
The second one is to directly check all generated frequent itemsets on the constraints to filter frequent itemsets satisfying extended double constraint.
The first one is called MFS-E-EDC that is a new modified version of dEclat for mining frequent itemsets with the extended double constraint.
So, we can find that the extended double constraint presented in this paper is more general than that, ({mathcal F}{mathcal S}_{C_{10} subseteq C_{11}} ({s_0,shown), shown in [17], by extending a new kind of constraint set, (C_{21}), which is an arbitrary subset of ({mathcal A}).
A double constraint bears on their action: avoiding the risk of dilution of their assistance on the one hand, and finding a satisfying mix between long term but highly uncertain results and short term but often limited to solvency consideration outcomes on the other hand.
4, we propose a structure of the solution set based on a necessary and sufficient condition of closed itemsets and their generators for the emptiness of ({mathcal F}{mathcal S}_{C_{10} subseteq C_{11}nsubseteq, C_{21}}(s_0,s_1)), and a unique representation of frequent itemsets with extended double constraint in each equivalence class based on closed itemsets and their generators.
Expert writing Tips
Best practice
When using "double constraints", clearly define each constraint to avoid ambiguity and ensure the audience understands the specific limitations being addressed.
Common error
Avoid using "double constraints" when the constraints are essentially the same. If the constraints are highly related, consider framing them as a single, overarching constraint with multiple facets.
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "double constraints" functions as a noun phrase, typically serving as the object of a verb or preposition. It identifies and describes the presence of two simultaneous limitations or restrictions. Ludwig AI and its examples supports this interpretation.
Frequent in
Science
40%
News & Media
20%
Formal & Business
20%
Less common in
Wiki
20%
Encyclopedias
0%
Reference
0%
Ludwig's WRAP-UP
The phrase "double constraints" is used to describe situations where two limitations or restrictions are present simultaneously. Ludwig AI confirms that it is grammatically correct and usable, though relatively rare. It finds application in fields like science, news, business, and formal contexts, emphasizing the need for clarity when defining each constraint. Alternatives like "dual restrictions" or "twofold limitations" offer similar meanings, but "double constraints" should be avoided if the constraints are overlapping or essentially the same. The limited examples on Ludwig reflects its specific use.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
dual restrictions
Emphasizes the presence of two distinct limitations.
dual limitations
Mirrors the meaning of "double constraints" using a different adjective.
twofold limitations
Highlights the presence of limitations that are divided into two parts or aspects.
paired constraints
Suggests that the constraints are linked or related to each other.
coupled constraints
Implies a strong dependency or interaction between the two constraints.
twin constraints
Highlights the similarity or parallel nature of the two constraints.
two concurrent restrictions
Emphasizes that the restrictions are happening at the same time.
simultaneous limitations
Highlights that both limitations are present at the same time.
combined restrictions
Focuses on the effect of both restrictions working together.
interlocking constraints
Suggests that the constraints are interconnected and affect each other.
FAQs
How can I use "double constraints" in a sentence?
You can use "double constraints" to describe situations where there are two simultaneous limitations or restrictions. For instance, "The project faced "double constraints": a tight budget and a short timeline".
What are some alternatives to "double constraints"?
Alternatives include "dual restrictions", "twofold limitations", or "paired constraints", depending on the specific nuance you want to convey.
In what contexts is "double constraints" commonly used?
"Double constraints" is often used in fields like project management, economics, and engineering to describe situations with two significant limitations. Ludwig provides real-world examples across diverse categories.
Is "double constraints" formal or informal?
"Double constraints" can be used in both formal and informal contexts, though it is more common in professional and academic settings. Ludwig examples are drawn from a variety of credible sources.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested