List questions from smooth-functions

Published on 30 Jan 2021 - 18:59

350

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Operations on smooth functions

Published on 31 Jan 2021 - 20:42

133

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Does Taylor series always converge somewhere to some function

Published on 01 Feb 2021 - 17:51

283

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Finding the curvature & torsion of the derivative of a smooth regular curve in $\mathbb{R}^3$

Published on 25 Mar 2026 - 22:05

141

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Can any smooth even function $f: \mathbb{R} \to \mathbb{R}$ be written as a smooth function of $x^2$?

Published on 03 Feb 2021 - 11:19

519

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Is homotopy of smooth maps $M \to \mathbb{S}^n$ equivalent to smooth homotopy?

Published on 03 Feb 2021 - 12:24

133

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Is the summation of Euclidean distance a smooth function?

Published on 03 Feb 2021 - 13:45

69

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Question about smooth functions and their signs with given initial conditions

Published on 11 Feb 2021 - 10:23

51

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How to show this map is a chart map?

Published on 14 Feb 2021 - 2:00

45

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If $f, g$ are smooth functions on $I$, $g$ has no flat point, and $f/g$ has a continuous extension to $I$, is this extension smooth?

Published on 19 Feb 2021 - 9:48

255

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Cut-off function with first derivative property

Published on 22 Feb 2021 - 10:52

80

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Functions similar to $f(x) = x^2 \sin{\frac{1}{x}}$

Published on 25 Mar 2026 - 9:07

93

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Showing function is smooth

Published on 25 Feb 2021 - 3:31

275

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Smooth domain $\Omega$

Published on 25 Mar 2026 - 9:34

41

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Can we say that $f$ is smooth?

Published on 26 Feb 2021 - 17:02

List Question

Product and quotient of smooth functions on $\mathbb{R}$

Operations on smooth functions

Does Taylor series always converge somewhere to some function

Finding the curvature & torsion of the derivative of a smooth regular curve in $\mathbb{R}^3$

Can any smooth even function $f: \mathbb{R} \to \mathbb{R}$ be written as a smooth function of $x^2$?

Is homotopy of smooth maps $M \to \mathbb{S}^n$ equivalent to smooth homotopy?

Is the summation of Euclidean distance a smooth function?

Question about smooth functions and their signs with given initial conditions

How to show this map is a chart map?

If $f, g$ are smooth functions on $I$, $g$ has no flat point, and $f/g$ has a continuous extension to $I$, is this extension smooth?

Cut-off function with first derivative property

Functions similar to $f(x) = x^2 \sin{\frac{1}{x}}$

Showing function is smooth

Smooth domain $\Omega$

Can we say that $f$ is smooth?

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