Basis (mathematics): Difference between revisions

Revision as of 21:14, 2 December 2008

This is a disambiguation page for the different uses of the words base or basis in mathematics.

In an exponential expression, the base is the quantity upon which the exponent is placed as a superscript.
A basis is a linearly independent spanning set in linear algebra.
A basis (or base) for a topology is a system of open sets 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.

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 This is a disambiguation page for the different uses of the words '''base''' or '''basis''' in [[mathematics]].
-* In an [[exponent|exponential expression]], the [[base (exponent)|base]] is the quantity upon which the exponent is placed as a superscript.
+* In an [[exponent|exponential expression]], the [[exponent|base]] is the quantity upon which the exponent is placed as a superscript.
 * A [[basis (linear algebra)|basis]] is a [[linearly independent]] [[span (linear algebra)|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.