contained within the set

USAGE SUMMARY

The phrase "contained within the set" is correct and usable in written English.
It can be used in mathematical or logical contexts to describe elements that are included in a specific collection or group. Example: "All the numbers that are even are contained within the set of natural numbers."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Gradually one became aware of a black bird stalking about, contained within the set by a subtle scrim that also softened the light.

The New York Times - Arts

It therefore follows that the quotient of the product of any set of primes has remainder zero only when divided by 1 or one of the primes contained within the set (we refer the reader to [10] for a formal proof of this property).

Journal of Internet Services and Applications

We constructed 45 seven to twelve-biomarker classifroms from this set of 44 potential biomarkers that met our performance criteria, which suggests that there is significant redundancy in the information contained within the set of potential biomarkers.

Plosone

Only ortholog groups containing at least two sequences for which EC annotation is available were examined, and groups were considered to be consistent if all EC annotations are identical or consistent (i.e. where one enzyme's EC number(s) are contained within the set of EC numbers used to describe the other multifunctional enzyme).

Plosone

We are encouraged that the clinical signs that we identified are contained within the set of 14 signs predictive of sepsis identified from data collected in the WHO multicenter study and were specifically associated with meningitis [ 8- 10].

BMC Infectious Diseases

The exact solution would require a search through all subsets of size T. The proposed algorithm is computationally faster and assumes that the set that is optimal for size T will be contained within the set that is optimal for size T + 1.

Genetics, Selection, Evolution

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Homology values (H-values) are defined as an arbitrary unit measuring the degree of similarity between a single protein coding sequence from the reference set and all proteins contained within the user defined subject sets.

BMC Genomics

It should be kept in mind that although the tORFM set is contained within the tORFX set, the derived matreshka sets only partially overlap, due to the properties of the conservation filter.

BMC Genomics

Although the tORFM sequences are contained within the tORFX set, the subsequent conservation filter produces different matreshka sets.

BMC Genomics

However, the peaks mapped by TAMAL represent a subset of peaks mapped by the permutation algorithm, and were completely contained within the latter set, indicating that the discrepancy in peak number and size is a result of different stringencies set by these algorithms (Supplementary Material, Fig. S3B).

Human Molecular Genetics

All quantitative PCR assays were developed with at least one primer contained within the probe set identity region of the bovine transcript.

Plosone

Expert writing Tips

Best practice

When writing in scientific or technical contexts, use the phrase "contained within the set" to clearly indicate that certain elements are part of a larger, defined collection. This helps ensure precision and avoids ambiguity.

Common error

Avoid using "contained within the set" in informal writing or speech where simpler alternatives like "part of" or "included in" would be more appropriate. Overusing formal language can make your writing sound stilted or pretentious.

Linguistic Context

The phrase "contained within the set" functions as a prepositional phrase, typically used to specify the inclusion or membership of elements within a clearly defined collection. As Ludwig AI confirms, the phrase is grammatically correct and suitable for formal contexts.

Expression frequency: Uncommon

Frequent in

Science

83%

Academia

11%

News & Media

6%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "contained within the set" is a grammatically correct and precise way to describe the inclusion of elements within a defined collection. Ludwig AI indicates its proper usage is in formal contexts, particularly in scientific and academic writing. While alternatives such as "included in the set" or "part of the set" exist, they may lack the specificity required in technical discussions. The phrase, as confirmed by Ludwig, is less common in informal speech and writing where simpler language is preferable.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Included within the set

Replaces "contained" with "included", emphasizing membership.

Enclosed within the set

Uses "enclosed" instead of "contained", highlighting the idea of being surrounded or bounded by the set.

Part of the set

Simplifies the expression to indicate direct membership.

Belonging to the set

Focuses on the relationship of belonging or ownership by the set.

Found inside the set

Uses a more literal term, "found", to convey the idea of location within the set.

Present in the set

Emphasizes the existence of elements within the set.

Existing within the set

Highlights the existence of elements as a feature of the set.

Comprised by the set

Shifts the focus to the set as the entity encompassing the elements.

Constituent of the set

Highlights the element as a component that contributes to make up the set.

Encapsulated by the set

Similar to 'enclosed', but implies a protective or defining enclosure.

FAQs

How can I use "contained within the set" in a sentence?

This phrase is used to indicate that certain elements are part of a larger group or collection. For example, "All even numbers are "included within the set" of integers."

What are some alternatives to "contained within the set"?

You can use alternatives like "included in the set", "part of the set", or "belonging to the set" depending on the specific context and desired level of formality.

Is it more appropriate to say "contained in the set" or "contained within the set"?

"Contained within the set" is more precise, implying that the elements are fully encompassed by the boundaries of the set. "Contained in the set" is also acceptable, but may be perceived as less formal.

What's the difference between "contained within the set" and "comprising the set"?

"Contained within the set" refers to the elements that are part of the set, while "comprising the set" refers to the elements that make up the whole set. The perspective changes: the former focuses on elements inside, the latter on elements as the components of the set.