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Results tagged with real-analysis
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user 100537
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Realizing a set as the image of a smooth map
Consider the following subset of $\mathbb{R}^2$:
$S = \{ (x, y) \in \mathbb{R}^2 : |y| \leq |x|^{3/2} \}$
(See here for a plot on Wolfram Alpha.)
The origin $(0, 0)$ is a kind of singular point of $S$ …
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