Basis (mathematics): Difference between revisions

Latest revision as of 19:39, 31 January 2009

This disambiguation page lists articles associated with the same or a similar title.

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.
In logarithms, the base is the quantity raised to the power of the logarithm to return the given number.
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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-#REDIRECT [[Basis (linear algebra)]]
+{{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.