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A Generalized Implicit Function Theorem

✍ Scribed by B.D. Gel'man

Book ID: 110311747
Publisher: Springer US
Year: 2001
Tongue: English
Weight: 117 KB
Volume: 35
Category: Article
ISSN: 0016-2663
DOI: 10.1023/a:1012322727547

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## Abstract We prove uniformly computable versions of the Implicit Function Theorem in its differentiable and non‐differentiable forms. We show that the resulting operators are not computable if information about some of the partial derivatives of the implicitly defining function is omitted. Finall