a set equivalent

USAGE SUMMARY

The phrase "a set equivalent" is correct and usable in written English.
It can be used in mathematical or logical contexts to refer to two sets that have the same elements or properties. Example: "In set theory, we say that two sets are equivalent if there is a one-to-one correspondence between their elements, meaning they are a set equivalent."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Recall that a semi-ring is a mathematical structure (e.g., a set) equivalent to a ring without an additive inverse.

EURASIP Journal on Advances in Signal Processing

MA-10 contains the remaining 5,000 genes from the NIA developmental clone set plus a set equivalent to the immunogene clone set included on MA-02 and 2,100 genes from "BMAP" clone set from Research Genetics (Carlsbad, CA).

BMC Complementary and Alternative Medicine

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

From the maximum parsimony point of view, refining an xor-haplotyping solution via bit flipping method does not necessarily lead to global optimum unless the initial inference is a set-equivalent of the global optimal solution.

BMC Genomics

MMAs are recruited from the ranks of the ZDF to fill shortages in the number of health workers; they are initially trained to provide basic services, such as bandaging wounds and taking vital signs, but may eventually gain a skill set equivalent to that of an enrolled nurse.

Global health, science and practice

Dual energy acquisitions during one exposure yield two sets of images: a low energy (LE) set, equivalent to standard full field digital mammography (FFDM); and a recombined set displaying contrast uptake.

Breast Cancer Research

In the present study, potential CTL-escape mutations were those polymorphisms that passed through this analysis with a q-value lower than 0.2 (in our data set equivalent to an adjusted p-value lower than 0.0140).

Plosone

The primary analysis was performed on the full analysis set (equivalent to an intent-to-treat (ITT) population, which included all subjects who received the randomized study drug and had at least one efficacy assessment.

BMC Anesthesiology

Chioui and Chenu (2007) presented an equivalent model for a linear pile soil interaction of laterally loaded piles using a set of equivalent soil springs.

International Journal of Advanced Structural Engineering (IJASE)

The optimization algorithm has conducted to a set of equivalent solutions named Pareto optimal set.

Chemical Engineering Research and Design

The ORE is solved by converting it to a set of equivalent matrix Riccati equations.

IFAC Proceedings Volumes

Further, necessary conditions for score-scale comparability include a set of equivalent anchor items.

Large-scale Assessments in Education

Expert writing Tips

Best practice

When using the phrase "a set equivalent", ensure the context clearly defines the basis for equivalence. Specify what properties or elements make the sets equivalent for clarity.

Common error

Avoid assuming that because two sets are "a set equivalent" in one context, they are equivalent in all contexts. Equivalence is often context-dependent and must be explicitly defined.

Linguistic Context

The phrase "a set equivalent" functions as an adjective modifying a noun, describing a collection that is considered interchangeable or functionally identical within a given context. Ludwig AI validates its correctness and usability in academic and scientific writing.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "a set equivalent" is grammatically sound and primarily used within formal scientific contexts to denote collections that are considered functionally identical or interchangeable. As confirmed by Ludwig AI, while correct, the frequency of this phrase is rare. When using "a set equivalent", ensure that you clearly define the criteria that make the sets equivalent in the given context to avoid ambiguity. Remember that this equivalence might not hold true across all contexts, and it's essential to specify the properties or conditions under which the sets can be considered interchangeable.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equivalent group

Replaces "set" with "group", emphasizing a collection with shared characteristics.

corresponding set

Substitutes "equivalent" with "corresponding", highlighting a matching relationship.

isomorphic set

Uses "isomorphic" to denote a structural equivalence between sets.

equal set

Replaces "equivalent" with "equal", stressing the identity of elements in the sets.

a set that is equivalent

Rephrases the construction, placing the adjective clause after the noun.

a similar set

Uses "similar" to indicate a close but not necessarily identical relationship.

a matching set

Employs "matching" to describe sets that correspond in some defined way.

a related set

Indicates that sets are connected or associated, though not necessarily equivalent.

a comparable set

Suggests the sets are similar enough to be compared.

a synonymous set

Highlights a relationship where sets have the same or nearly the same meaning or effect.

FAQs

How can I use "a set equivalent" in a sentence?

You can use "a set equivalent" to describe collections that share fundamental characteristics or can be interchanged under specific conditions. For example, "The algorithm produced "a set of equivalent solutions"."

What's a good alternative to "a set equivalent"?

Depending on the context, alternatives include "corresponding set", "similar set", or "isomorphic set". The best choice depends on the specific nuance you want to convey.

In what fields is the phrase "a set equivalent" commonly used?

This phrase is frequently used in mathematics, computer science, and statistics to describe collections that can be treated as interchangeable for particular purposes. It also appears in scientific research when defining comparative groups.

Is it always necessary to define the criteria for equivalence when using "a set equivalent"?

Yes, defining the criteria is essential for clarity. Stating that two sets are equivalent without specifying the basis for comparison can lead to confusion. Be specific about the properties or conditions that make them "an equivalent group".