View source for Basis (mathematics)

{{disambig}} 
This is a disambiguation page for the different uses of the words '''base''' or '''basis''' in [[mathematics]].

* In an [[exponent|exponential expression]], the [[exponent|base]] is the quantity upon which the exponent is placed as a superscript. 
* In [[logarithm]]s, the base is the quantity raised to the power of the logarithm to return the given number.
* A [[basis (linear algebra)|basis]] is a [[Linear independence|linearly independent]] [[spanning set]] in [[linear algebra]].
* A [[basis (topology)|basis]] (or base) for a [[topology]] is a system of [[open set]]s that generate the topology.
* A [[filter base]] is a collection of sets that generates a [[filter]].
* In [[algebraic geometry]], there exists the notion of a [[Gröbner basis]] of an [[ideal]].
* A [[uniform base]] is a family of relations on a set that generates a [[uniform space]] structure.