vector base vs base of vectors

Both phrases are correct, but they are used in different contexts. 'Vector base' is commonly used in mathematics and computer science to refer to a set of vectors that span a vector space. 'Base of vectors' is less common and could be used in a more general context to describe a group of vectors.

Last updated: March 23, 2024 • 767 views

This phrase is correct and commonly used in mathematics and computer science to refer to a set of vectors that span a vector space.

"vector base"

This term is used to describe a set of vectors that can be used to represent any vector in a given vector space.

Examples:

The standard basis is a vector base for the Euclidean space.
The eigenvectors form a vector base for the matrix.

Show examples from the web [+]

You have racal suits for every vector on this base?
Sir, their vector is consistent with an attack on our naval bases on the Japanese island of Okinawa.
We flood the base with all that outside air and freeze the vectors in place.
I barely had the manpower to stop one of those vectors from infecting half the base.
It consists of an identity base for all vector objects which can be included as part of an elevation data set.
Blackhawk Leader, vector 2-3-0... and return to base immediately.

Alternatives:

basis of vectors
set of vectors
spanning set of vectors
vector space basis
vectors basis

This phrase is correct but less commonly used. It could be used in a more general context to describe a group of vectors.

"base of vectors"

This term can be used to refer to a collection or group of vectors without specifying a particular mathematical context.

Examples:

The base of vectors includes the position, velocity, and acceleration vectors.
We need to determine the base of vectors for this analysis.

Show examples from the web [+]

It consists of an identity base for all vector objects which can be included as part of an elevation data set.
Enables/ Disables global inclusing of vector class
be specially reinforced during the season of vector activity;
A list of vector species should therefore be adopted.
Introduction of live aquaculture animals of vector species into disease-free areas
Representation of vector statistical unit evolution.
There are no reports of vectors, so it might be NARVIK A.
9 «Asymptotic confidence bands for the estimated autocovariance and autocorrelation functions of vector autoregressive models», by G. Coenen, January 2000.
Article 17 of Directive 2006/88/EC also provides for the drawing up of a list of vector species.
In drawing up the list of vector species, the EFSA opinions should be taken into account.
where the presence of vectors is confirmed:
the presence, distribution and type of vectors,
(3) Accordingly, it is appropriate to establish rules providing for exemptions from the exit ban for animals in the concerned parts of the restricted zones during periods where there is a proven absence of viral circulation or of vectors.
(b) where the presence of vectors is confirmed:
Girls, welcome back to the fortress of Vector-tude!
There are a lot of vectors for infectious diseases that are worrisome to us that are also expanding their range.
Accordingly, it is appropriate to establish rules providing for exemptions from the exit ban for animals in the concerned parts of the restricted zones during periods where there is a proven absence of viral circulation or of vectors.
It may cause widespread dissemination of vectors of disease, including in particular a northwards movement of a number of diseases previously confined to the tropics.
A general risk assessment of vector-borne diseases in Europe was carried out, the results of which will be published in the near future.
The ECDC report states that changes to the climate and to the environment can alter the risk of vector-borne diseases.

Alternatives:

vector collection
group of vectors
vectors set
vectors group
vectors collection

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vector base vs base of vectors

"vector base"

"base of vectors"

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