Definitions
1.nounA physical base or foundation.
2.nounA starting point, base or foundation for an argument or hypothesis.
3.nounAn underlying condition or circumstance.
4.nounA regular frequency."Cars must be checked on a yearly basis."
5.nounIn a vector space, a linearly independent set of vectors spanning the whole vector space.
6.nounAmount paid for an investment, including commissions and other expenses.
7.nounA 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 collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis."