Editing Generalization (section)

===Mathematical generalizations===
In [[mathematics]], one commonly says that a concept or a result {{mvar|B}} is a ''generalization'' of {{mvar|A}} if {{mvar|A}} is defined or proved before {{mvar|B}} (historically or conceptually) and {{mvar|A}} is a special case of {{mvar|B}}.

* The [[complex numbers]] are a generalization of the [[real numbers]], which are a generalization of the [[rational numbers]], which are a generalization of the [[integers]], which are a generalization of the [[natural numbers]].
* A [[polygon]] is a generalization of a 3-sided [[triangle]], a 4-sided [[quadrilateral]], and so on to [[Variable (mathematics)|''n'']] sides. 
* A [[hypercube]] is a generalization of a 2-dimensional square, a 3-dimensional [[cube]], and so on to ''n'' [[dimension]]s.
* A [[quadric]], such as a [[hypersphere]], [[ellipsoid]], [[paraboloid]], or [[hyperboloid]], is a generalization of a [[conic section]] to higher dimensions.
* A [[Taylor series]] is a generalization of a [[MacLaurin series]].
* The [[binomial formula]] is a generalization of the formula for <math>(1+x)^n</math>.
* A [[ring (mathematics)|ring]] is a generalization of a [[field (mathematics)|field]].