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The complex numbers form an [[algebraic closure|algebraically closed]] [[field (mathematics)|field]] but do not permit a non-trivial ordering that is preserved under operations. They are the algebraic closure of the [[real numbers]].
The complex numbers form an [[algebraic closure|algebraically closed]] [[field (mathematics)|field]] but do not permit a non-trivial ordering that is preserved under operations. They are the algebraic closure of the [[real numbers]].
Many functions used in real analysis can be extended in to complex numbers using [[Taylor series]].
Many functions used in real analysis can be extended in to complex numbers using [[Taylor series]] this is the subject of [[Complex analysis]].
===In popular culture===
===In popular culture===