equality relations

USAGE SUMMARY

The phrase "equality relations" is correct and usable in written English.
It can be used in contexts discussing social justice, mathematics, or any field where relationships of equality are relevant. Example: "The study focused on the equality relations between different demographic groups in the community."

✓ Grammatically correct

Science

Encyclopedias

Wiki

News & Media

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

In Section 1.2.1, ∼, and the Π's were taken as primitive constants, and the wffs Qοαα which denote equality relations at type α were defined in terms of these.

SEP

Python allows boolean expressions with multiple equality relations in a manner that is consistent with general usage in mathematics.

Wikipedia

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

One may mention many-valued, or multivalued, logics, which admit a finite number of truth-values; fuzzy logic, with an imprecise membership relationship (though, paradoxically, a precise equality relation); and quantum logic, where conjunction may be only partially defined and implication may not be defined at all.

Encyclopedia Britannica

The first equality relation immediately follows from Theorems 3.1, 3.2.

Journal of Inequalities and Applications

It is required that \ \bI(=, \Gamma )\) is the equality relation on \ \bD_{O}\), for every state \ \Gamma\), and \ \bI(E, \Gamma )\) is non-empty, for every \ \Gamma\).

SEP

In this section, let us treat the equality relation = as a primitive, undefined relation holding between two λ-terms, and try to axiomatize the properties that equality should have.

SEP

In order to obtain closed-form solutions, we need some equality relation between the Kronecker blocks of R = R T T ⊗ R R and of either S = S Q T ⊗ S R or I adm = I T T ⊗ I R.

EURASIP Journal on Wireless Communications and Networking

Then, from the compound inequality (8), we obtain the equality relation of the diameter of G with the augmented eccentric connectivity indices as follows: d_{G}=frac{nd^{d}}{xi^{ac}(G)}.

Journal of Inequalities and Applications

In addition to the ancient notion of symmetry used by the Greeks and Romans (current until the end of the Renaissance), a different notion of symmetry emerged in the seventeenth century, grounded not on proportions but on an equality relation between elements that are opposed, such as the left and right parts of a figure.

SEP

Then, from the compound inequalities (6)–(7), we obtain the equality relation of the diameter of G with the eccentric connectivity, connective eccentric, and augmented eccentric connectivity indices as follows: begin{aligned}& d_{G}=frac{xi^{c}(G)}{2m}, & d_{G}=frac{2m}{C^{xi} G }. end{aligned} By using these relations in inequality (26), we get the required results.

Journal of Inequalities and Applications

A natural mapping from the sign algebra to this field allows us to interpret the consistency relation ≃ as a simple equality relation in ℤ/3ℤ.

BMC Genomics

Expert writing Tips

Best practice

When using "equality relations", clearly define the context and the entities being compared to avoid ambiguity. Specify the criteria for equality to ensure the relationship is well-understood.

Common error

Avoid assuming that "equality relations" automatically imply absolute sameness in all aspects. Equality may only apply to specific attributes or within a defined scope. Make it clear what aspects are equal.

Linguistic Context

The phrase "equality relations" functions as a noun phrase, primarily used to describe the nature of relationships between entities that share a condition of equality. Ludwig AI confirms its grammatical correctness. The phrase often appears in academic and scientific contexts.

Expression frequency: Rare

Frequent in

Science

50%

Encyclopedias

25%

News & Media

12.5%

Less common in

Wiki

12.5%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "equality relations" is a grammatically sound noun phrase denoting relationships characterized by equality. While not highly frequent, it finds use in academic, scientific, and encyclopedic contexts. Ludwig AI confirms its correctness, suggesting that while alternatives like "equal relationships" or "relations of equality" exist, "equality relations" serves a specific purpose in formal discussions requiring precision. When employing this phrase, clarity in defining the scope and criteria for equality is paramount.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equal relationships

Focuses on the relational aspect, highlighting the connection between entities.

relations of equality

Reverses the order to emphasize the state of equality.

symmetrical relationships

Highlights the balanced and reciprocal nature of the relationships.

equivalent associations

Uses "associations" instead of "relations", suggesting a broader connection.

balanced connections

Emphasizes equilibrium and fairness in the connections.

uniform interactions

Focuses on the consistency and sameness in the interactions.

commensurate links

Uses "commensurate" to indicate a proportional or corresponding relationship.

parallel correlations

Suggests a side-by-side alignment in the correlations.

matching dependencies

Highlights the interrelation where elements correspond equally.

interchangeable elements

Focuses on the substitutability between elements due to their equality.

FAQs

How can I use "equality relations" in a sentence?

You can use "equality relations" to describe relationships where entities are equal in specific ways. For example, "The study focused on the "equality relations" between different demographic groups in access to healthcare."

What are some alternatives to "equality relations"?

Alternatives include "equal relationships", "relations of equality", or "symmetrical relationships" depending on the specific context.

In what contexts is the term "equality relations" most commonly used?

The term is frequently used in academic, scientific, and formal contexts, particularly when discussing mathematical, logical, or social concepts. It is also used in encyclopedias and wiki pages.

Is "equality relations" grammatically correct?

Yes, "equality relations" is grammatically correct and usable in written English, as stated by Ludwig. It functions as a noun phrase describing relationships characterized by equality.