List questions from smooth-functions

Published on 01 Apr 2021 - 10:50

700

Views

Show that if $f $ is $L$-smooth, then $g(x) := f(x) - \frac{m}{2} \Vert x \Vert^2$ is $(L-m)$-smooth

Published on 02 Apr 2021 - 8:48

142

Views

Prove that an injective immersion of closed manifolds is an embedding

Published on 03 Apr 2021 - 6:39

52

Views

Proof of continuity of a map from product of two spaces to $\mathbb R^n.$

Published on 27 Mar 2026 - 12:28

45

Views

Diffeomorphism of $\mathbb{R}^2$ with itself determined by three pairings of points

Published on 05 Apr 2021 - 21:13

118

Views

Is the set $S$ of all smooth functions on $B_1$ whose normal derivative vanishes along the boundary $\partial B_1$ dense in $C^0 (B_1, \Bbb C)\ $?

Published on 06 Apr 2021 - 15:53

161

Views

Doubt in understanding Differentials

Published on 06 Apr 2021 - 16:04

604

Views

Proof involving the sum of $L-$smooth functions

Published on 06 Apr 2021 - 17:55

228

Views

Smooth Map between the smooth manifolds $GL_n(\mathbb{R})$ and $S_n(\mathbb{R})$

Published on 10 Apr 2021 - 20:38

436

Views

Embedding Real Projective Space in Sphere

Published on 11 Apr 2021 - 7:15

98

Views

Invariance of rank under diffeomorphism

Published on 27 Mar 2026 - 2:37

291

Views

How to smooth out 2 corners in a piecewise function?

Published on 26 Mar 2026 - 19:05

425

Views

Smooth approximations to the ramp function

Published on 13 Apr 2021 - 0:33

84

Views

Finite group acting on a smooth manifold $M$ by diffeomorphisms. Fixed Point set is Smooth Manifold

Published on 16 Apr 2021 - 15:32

755

Views

Proving that inverse of a smooth function is smooth

Published on 19 Apr 2021 - 8:51

List Question

Lagrange Remainder the taylor expansion of $e^{-1/x^2}$

Show that if $f $ is $L$-smooth, then $g(x) := f(x) - \frac{m}{2} \Vert x \Vert^2$ is $(L-m)$-smooth

Prove that an injective immersion of closed manifolds is an embedding

Proof of continuity of a map from product of two spaces to $\mathbb R^n.$

Diffeomorphism of $\mathbb{R}^2$ with itself determined by three pairings of points

Is the set $S$ of all smooth functions on $B_1$ whose normal derivative vanishes along the boundary $\partial B_1$ dense in $C^0 (B_1, \Bbb C)\ $?

Doubt in understanding Differentials

Proof involving the sum of $L-$smooth functions

Smooth Map between the smooth manifolds $GL_n(\mathbb{R})$ and $S_n(\mathbb{R})$

Embedding Real Projective Space in Sphere

Invariance of rank under diffeomorphism

How to smooth out 2 corners in a piecewise function?

Smooth approximations to the ramp function

Finite group acting on a smooth manifold $M$ by diffeomorphisms. Fixed Point set is Smooth Manifold

Proving that inverse of a smooth function is smooth

Trending Questions

Popular # Hahtags

Popular Questions