List questions from smooth-functions

Published on 17 Sep 2023 - 0:07

123

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Smoothest Function for Generating a Vector from 0 to 1

Published on 18 Sep 2023 - 22:39

50

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Help understanding Morse theory proof (Milnor)

Published on 25 Mar 2026 - 22:09

144

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If the IVP is x'=1+x^2, x(0)=0, why must the solution be tan(t), (-pi/2<t<pi/2) and not just tan(t)?

Published on 28 Mar 2026 - 1:07

70

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How to understand such a function $g(I+X)$?

Published on 28 Mar 2026 - 7:57

53

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Monotonic increasing smooth function such that $f(0) = 0$ and $\lim_{x \to \infty} f(x) = C$ with $C < \infty$

Published on 03 Oct 2023 - 7:58

63

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Integrating the Fabius function $q(x) = \int_0^x F(u) du$

Published on 03 Oct 2023 - 17:45

44

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Question about the Thue-Morse Sequence and its relation with the Fabius function

Published on 03 Oct 2023 - 22:11

64

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When does $f = gh$ with $f,g$ smooth imply that $h$ is smooth?

Published on 04 Oct 2023 - 9:53

107

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Smoothness of $l_p$ norm

Published on 05 Oct 2023 - 21:25

92

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Does Banach space $C^{n}[0,1]$ contains isometric copy of $c_0$?

Published on 07 Oct 2023 - 12:09

38

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About the smoothness of a map

Published on 25 Mar 2026 - 16:00

30

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Is this structure enough to span the set of all smooth functions?

Published on 13 Oct 2023 - 23:23

30

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Taylor expansion for a Gaussian integral in terms of the $2$-moment?

Published on 27 Mar 2026 - 6:12

66

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Fourier transform of positive bump functions with constant piece

Published on 20 Oct 2023 - 9:32

List Question

Proof that $y = |x|$ is not regular smooth

Smoothest Function for Generating a Vector from 0 to 1

Help understanding Morse theory proof (Milnor)

If the IVP is x'=1+x^2, x(0)=0, why must the solution be tan(t), (-pi/2<t<pi/2) and not just tan(t)?

How to understand such a function $g(I+X)$?

Monotonic increasing smooth function such that $f(0) = 0$ and $\lim_{x \to \infty} f(x) = C$ with $C < \infty$

Integrating the Fabius function $q(x) = \int_0^x F(u) du$

Question about the Thue-Morse Sequence and its relation with the Fabius function

When does $f = gh$ with $f,g$ smooth imply that $h$ is smooth?

Smoothness of $l_p$ norm

Does Banach space $C^{n}[0,1]$ contains isometric copy of $c_0$?

About the smoothness of a map

Is this structure enough to span the set of all smooth functions?

Taylor expansion for a Gaussian integral in terms of the $2$-moment?

Fourier transform of positive bump functions with constant piece

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