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Implicit function theorem (view source)
Revision as of 17:43, January 3, 2009
, 17:43, January 3, 2009no edit summary
The '''Implicit function theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.
The '''Implicit function theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.
[[Category:Calculus]]
[[Category:Calculus]]