group of vectors

USAGE SUMMARY

The phrase "group of vectors" is correct and usable in written English.
It can be used in mathematical or scientific contexts, particularly in linear algebra or physics, to refer to a collection of vectors. Example: "In this study, we will analyze the properties of a group of vectors that represent different forces acting on the object."

✓ Grammatically correct

Science

Wiki

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

As a result, similar vectors are mapped to the same cluster, i.e. group of vectors.

EURASIP Journal on Wireless Communications and Networking

A cluster is a group of vectors with similar properties which collects information on its position within the image, its area, the average vector, etc.

EURASIP Journal on Image and Video Processing

and for the simplicity, we write a = (a1,a2,a3)∈R3; therefore, the adjoint action can be considered as a type of linear transformation group of vectors, so we have the following theorem: The one-dimensional optimal system of Lie algebra G Open image in new window for the KE equation is ( i ) v 1, ( ii ) a v 2 + b v 3. Open image in new window (14).

Mathematical Sciences

Since the noise variance only appears on the main diagonal of R k, the groups of vectors Γ i (R k ), i = 1, 2, ⋯, M − 1 in (3.4) remain unchanged, and only the group of vectors Γ 0(R k ) needs to be changed as Γ 0 ( R k ) = Z 0 c 1 ( k ) 2 c 2 ( k ) 2 ⋯ c N ( k ) 2 T + σ w 2 1 M ∀ k = 1, 2, ⋯, P, (3.15).

EURASIP Journal on Advances in Signal Processing

In other words there is a ring homomorphism from the field into the endomorphism ring of the group of vectors.

Wikipedia

Some of them derive from elementary group theory, applied to the additive group of vectors: for example the zero vector of and the additive inverse of any vector are unique.

Wikipedia

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

Haemosporida is a diverse group of vector-borne parasitic protozoa, ubiquitous in terrestrial vertebrates worldwide.

International Journal for Parasitology

During the tracing process, a set of pixels outlining part of the object's boundary is analysed and a group of vector graphical elements is generated.

Computers in Industry

That historical view of rickettsiae as essentially a group of vector-borne pathogens of humans has yielded to a new appreciation of the genus as a group of bacterial endosymbionts that are widely distributed in a diverse range of arthropods and other invertebrates and even protozoa and plants [3], [4].

Plosone

Leishmaniases are a group of vector-borne diseases caused by parasitic protozoa of the genus Leishmania.

BMC Genomics

Leishmaniasis is a group of vector-borne diseases caused by obligate intramacrophage protozoan parasite of genus Leishmania.

BioMed Research International

Expert writing Tips

Best practice

When using "group of vectors", ensure the context clearly defines what the vectors represent and why they are grouped. For example, specify if the group represents data points, forces, or feature vectors.

Common error

Don't use "group of vectors" without specifying the nature of the vectors or the criteria for grouping. Being specific enhances clarity and prevents misinterpretations.

Linguistic Context

The phrase "group of vectors" primarily functions as a noun phrase. Ludwig AI suggests that it refers to a collection or set of vectors considered as a single entity.

Expression frequency: Uncommon

Frequent in

Science

80%

Wiki

10%

News & Media

5%

Less common in

Formal & Business

2%

Encyclopedias

1%

Reference

1%

Ludwig's WRAP-UP

In summary, "group of vectors" is a grammatically correct noun phrase used to denote a collection of vectors, often in technical and scientific contexts. Ludwig AI confirms its usability. While "group of vectors" is appropriate for describing general collections, alternatives like "set of vectors" or "cluster of vectors" can provide more specific connotations. When employing this phrase, ensure clarity by specifying the nature of the vectors and their grouping criteria.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

set of vectors

Replaces "group" with "set", maintaining the meaning with a more neutral term.

collection of vectors

Substitutes "group" with "collection", offering a slightly more formal alternative.

cluster of vectors

Emphasizes the spatial proximity or similarity between vectors, implying a clustering algorithm.

ensemble of vectors

Suggests a collection of vectors used together for a specific purpose, often in machine learning.

array of vectors

Highlights the structured arrangement of vectors, such as in a matrix or table.

family of vectors

Implies a shared characteristic or relationship among the vectors.

population of vectors

Presents vectors as individual entities within a larger statistical population.

system of vectors

Suggests an organized or interconnected set of vectors operating within a defined framework.

batch of vectors

Implies that vectors are processed together.

aggregate of vectors

This signifies combining different vectors to form a sum of vectors.

FAQs

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

You can use "group of vectors" to describe a set of vectors that share a common property or purpose. For example, "The algorithm analyzes a group of vectors representing image features."

What are some alternatives to "group of vectors"?

Alternatives include "set of vectors", "collection of vectors", or "cluster of vectors", depending on the specific context.

In what context is the phrase "group of vectors" most appropriate?

The phrase "group of vectors" is most appropriate in mathematical, scientific, or computational contexts where you are discussing a collection of vectors as a single entity.

Is there a difference between "group of vectors" and "grouping of vectors"?

"Group of vectors" refers to a collection of vectors. "Grouping of vectors" refers to the process or act of organizing vectors into groups. The former is a noun phrase, while the latter is a gerund phrase.