basis

B1
Pronunciation
/ˈbeɪsɪs/
/ˈbeɪsɪs/
Noun
7 definition(s)
1 Definition

A physical base or foundation.

2 Definition

A starting point, base or foundation for an argument or hypothesis.

3 Definition

An underlying condition or circumstance.

4 Definition

A regular frequency.

Example Sentences
  • Cars must be checked on a yearly basis.
5 Definition

In a vector space, a linearly independent set of vectors spanning the whole vector space.

6 Definition

Amount paid for an investment, including commissions and other expenses.

7 Definition

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.

Example Sentences
  • The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis.