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Adding local short description: "Formal power series with coefficients in a field k are well-approximated by the algebraic functions on k", overriding Wikidata description "deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. Theorem as a fundamental result of Michael Artin" |
Shorten short description — WP:SDSHORT |
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{{Short description|
In [[mathematics]], the '''Artin approximation theorem''' is a fundamental result of {{harvs|last=Artin|first=Michael|txt|authorlink=Michael Artin|year=1969}} in [[deformation theory]] which implies that [[formal power series]] with coefficients in a [[field (mathematics)|field]] ''k'' are well-approximated by the [[algebraic function]]s on ''k''.
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