definition
A physical base or foundation.
definition
A starting point, base or foundation for an argument or hypothesis.
definition
An underlying condition or circumstance.
definition
A regular frequency.
example
Cars must be checked on a yearly basis.
definition
In a vector space, a linearly independent set of vectors spanning the whole vector space.
definition
Amount paid for an investment, including commissions and other expenses.
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
The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis.