dual relation

USAGE SUMMARY

The phrase "dual relation" is correct and usable in written English.
It can be used in contexts where two entities or concepts are interconnected or have a reciprocal relationship. Example: "In the study of social networks, understanding the dual relation between individuals can reveal important insights about group dynamics."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

An answer is given in terms of a dual relation which involves positive measures in the disk with bounded Poisson balayage.

Journal of Functional Analysis

Based on the theory of first-order ordinary differential equations, a dual relation between two solutions in the dual local coordinates for a single layer in the laminate is derived, which is further arranged in a manner that can avoid the numerical instability usually encountered in the state space method.

Journal of Sound and Vibration

Solving from primal dual relation for different values of weights, we get the optimal values of the decision variables which are given in Table 1.

Journal of Industrial Engineering International

The extant commentary on the Categories mentions only a dual relation, that between words and things, whereas other sources attribute to Porphyry a triadic relation between words, concepts and things.

SEP

While the existing algorithm is based on the equivalence of G(D) and G P DD), the proposed algorithm uses the dual relation between H(D) and G P DD).

EURASIP Journal on Wireless Communications and Networking

In future, the dual relation between ideal space and kernel space can be further used to switch the computation of kernel space into that of ideal space, thereby realizing the application of commutative algebra to efficiently solve the machine learning problem.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

The dual relations for left fractional sums and differences were investigated in [12].

Advances in Difference Equations

For the homogeneous and non-homogeneous Herz spaces, there exist the following dual relations, respectively.

Journal of Inequalities and Applications

Indeed, the following two lemmas are dual relations between the delta left fractional sums (differences) and the nabla left fractional sums (differences).

Advances in Difference Equations

Also it is necessary to obtain dual relations between the left and right fractional sums and differences via the Q-operator.

Advances in Difference Equations

For example, Marsalli and West [2] obtained a series of results including a Riesz factorization theorem, the dual relations between (H^{p}(mathcal{A})) and (H^{q}(mathcal{A})), and Labuschagne [3] proved the universal validity of Szegö's theorem for finite subdiagonal algebras.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "dual relation", ensure that the context clearly defines both elements involved in the relationship to avoid ambiguity.

Common error

Avoid using "dual relation" without explicitly stating what two elements are being related. Lack of clarity can confuse the reader.

Linguistic Context

The phrase "dual relation" functions as a noun phrase, often serving as a subject or object in a sentence. Ludwig examples demonstrate its use in academic, scientific, and news contexts, indicating its role in describing interconnected concepts.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

20%

Academia

10%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "dual relation" is a phrase used to describe a specific type of interconnectedness between two entities or concepts. Ludwig AI confirms its grammatical correctness, noting its prevalence in academic, scientific, and news contexts. While not extremely common, the phrase is valuable in formal writing where precision is key. When employing "dual relation", ensure clarity by explicitly defining the two elements involved, and consider alternatives like "mutual relationship" or "reciprocal connection" for general use. The phrase functions primarily as a noun phrase and tends to appear in formal and scientific registers.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mutual relationship

Emphasizes reciprocity and shared qualities in the relationship.

reciprocal connection

Highlights the back-and-forth nature of the relationship.

twofold association

Focuses on the two-sided nature of the connection.

binary correlation

Implies a statistical link between two variables.

paired linkage

Suggests a direct link between two entities.

dyadic interaction

Highlights the interaction between two elements, often in a social context.

double dependency

Emphasizes the reliance of each entity on the other.

dualistic correspondence

Suggests a philosophical or abstract connection between two distinct concepts.

coupled system

Implies an integrated system where two components are linked.

intertwined relationship

Highlights the close and complex nature of the connection.

FAQs

How can I use "dual relation" in a sentence?

You can use "dual relation" to describe a connection between two entities, such as "The study explores the "dual relation" between supply and demand in the market."

What's a simple way to describe a "dual relation"?

A "dual relation" can be described as a mutual or reciprocal relationship between two things.

Which is more appropriate, "dual relation" or "mutual relationship"?

Both "dual relation" and "mutual relationship" can be appropriate, depending on the context. "Dual relation" might be preferred in technical or formal contexts, while "mutual relationship" is often more suitable for general use.

Is there a difference between "dual relation" and "direct relation"?

Yes, a "dual relation" implies a connection between two specific entities, while a "direct relation" simply means a straightforward connection without necessarily implying a two-way interaction.