BASIS

Basis

In linear algebra, a basis is a set of linearly independent vectors that, in a linear combination, can represent every vector in a given vector space or free module, or, more simply put, which define a "coordinate system" . In more general terms, a basis is a linearly independent spanning set.

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basis

Noun

  1. A starting point, base or foundation for an argument or hypothesis.
  2. An underlying condition or circumstance.
  3. regular frequency
    You should brush your teeth on a daily basis at minimum.
    The flights to Fiji leave on a weekly basis.
    Cars must be checked on a yearly basis.
  4. In a vector space, a linearly independent set of vectors spanning the whole vector space.
  5. Amount paid for an investment, including commissions and other expenses.
  6. A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.


The above text is a snippet from Wiktionary: basis
and as such is available under the Creative Commons Attribution/Share-Alike License.

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