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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 • 758 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.
  • 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.
  • 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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