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Results tagged with real-analysis
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user 517929
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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answers
315
views
Implicit function theorem without uniqueness?
Imagine you are given $f(x,y) := y^2-\sin(x)^2$
and you want to answer the question, if there is a neighbourhood of $x=0$ such that $f(x,y(x))=0$ with $y(0)=0$.
One idea that comes to mind is the impl …
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