set of vectors

USAGE SUMMARY

"set of vectors" is a correct and usable phrase in written English.
It can be used in contexts where there is a collection or group of vectors being referred to. Example: The set of vectors used to represent the company's financial projections were carefully chosen by the accounting team.

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Maury, J. et al. EasyCloneMulti: A Set of Vectors for Simultaneous and Multiple Genomic Integrations in Saccharomyces cerevisiae.

Nature

A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space.

Massachusetts Institute of Technology

Gari E, Piedrafita L, Aldea M, Herrero E. A set of vectors with a tetracycline-regulatable promoter system for modulated gene expression in Saccharomyces cerevisiae.

Nature

Gari, E., Piedrafita, L., Aldea, M. & Herrero, E. A set of vectors with a tetracycline-regulatable promoter system for modulated gene expression in Saccharomyces cerevisiae.

Nature

We designed a set of vectors using internal ribosome entry site (IRES) elements to control LC and HC expression.

Journal of Biotechnology

Because the new logic operates over a finite set of vectors in the complex domain, we call it Vector Logic.

Information Sciences

Recall from the end of §5.10 above that an orthonormal set of vectors is a set of unit-length vectors that are mutually orthogonal.

Stanford University

Oriented matroids are matroids whose defining subsets are "signed" in some way; a prototypical example is the ordered bases in a set of vectors, together with their orientations.

University of California, Berkeley

A tool for performing hierarchical cluster analysis (HCA) on a set of vectors and outputing dendrograms in a variety of graphical formats.

University of California, Berkeley

A set of vectors (or ) is said to form a vector space if and for all,, and for all scalars (or ) [84,73].

Stanford University

Let A be a normal operator in a Hilbert space H, and let G⊂H be a countable set of vectors.

Journal of Functional Analysis

Expert writing Tips

Best practice

When describing mathematical or scientific concepts, use "set of vectors" to clearly indicate a collection of vectors being considered as a unit. This is especially useful in linear algebra, machine learning, and physics contexts.

Common error

Ensure you use plural forms correctly. "Set of vector" is incorrect; always use "set of vectors" to refer to multiple vectors. Remember that "set" indicates a collection, implying plurality for the elements it contains.

Linguistic Context

The phrase "set of vectors" functions as a noun phrase, identifying a collection or group of vectors. Ludwig AI's analysis confirms its correct usage in various contexts, highlighting its role in defining a specific mathematical or computational entity.

Expression frequency: Very common

Frequent in

Science

70%

Academia

30%

Formal & Business

0%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "set of vectors" is a grammatically correct and widely used phrase, predominantly found in scientific and academic contexts. Ludwig AI confirms its proper usage for describing collections of vectors in fields like mathematics, computer science, and engineering. When using this phrase, ensure the correct pluralization ("vectors" not "vector"). Consider alternatives like "vector collection" or "group of vectors" for stylistic variation. The phrase functions as a noun phrase, serving to define and reference a group of vectors as a single entity. Its consistent presence in authoritative sources underscores its reliability and precision.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

vector collection

Replaces "set" with "collection", emphasizing the group aspect.

group of vectors

Substitutes "set" with "group", a more general term for a collection.

array of vectors

Uses "array" to suggest a structured arrangement of vectors.

vectors' ensemble

Employs "ensemble" to highlight a collection viewed as a single entity.

vector space elements

Refers to vectors as elements within a vector space context.

vector assembly

Uses "assembly" to suggest a constructed or gathered collection.

vector aggregate

Replaces "set" with "aggregate", focusing on the combined whole.

ordered vectors

Specifies that the vectors have a defined sequence or order.

finite vector space

Highlights that the vector space is limited in size.

basis vectors

Focuses on vectors that form a basis for a vector space.

FAQs

How can I use "set of vectors" in a sentence?

You can use "set of vectors" to describe a collection of vectors, such as in the sentence, "The algorithm analyzes the "set of vectors" to identify patterns."

What are some alternatives to "set of vectors"?

Some alternatives to "set of vectors" include "vector collection", "group of vectors", or "array of vectors", depending on the specific context.

Is it correct to say "set of vector" instead of "set of vectors"?

No, "set of vector" is grammatically incorrect. Since "set" implies a collection, you should always use the plural form, ""set of vectors"".

In what contexts is "set of vectors" typically used?

"Set of vectors" is commonly used in mathematical, scientific, and engineering contexts, particularly in discussions related to linear algebra, computer graphics, and machine learning.