Question

Smoothness of parameter-dependent integral implies smoothness of integrand

score 89 · Answer 1 · 2021-06-17 05:27:27

89

Views

Smoothness of parameter-dependent integral implies smoothness of integrand

Published on 17 Jun 2021 - 5:27

score 38 · Answer 2 · 2021-06-20 00:13:37

38

Views

Can two functions with this property intersect at a "bad" set of points?

Published on 20 Jun 2021 - 0:13

score 91 · Answer 3 · 2021-06-20 14:10:15

91

Views

How can we construct a compactly supported function which is equal to $1$ on a given interval?

Published on 20 Jun 2021 - 14:10

score 96 · Answer 4 · 2021-06-20 20:47:44

96

Views

How can I smoothly transform one periodic function into another if the period time is allowed to differ?

Published on 20 Jun 2021 - 20:47

score 91 · Answer 5 · 2021-06-21 12:02:50

91

Views

Show that $f^{(n)} (0) = 0,$ for all $n \geq 1.$

Published on 21 Jun 2021 - 12:02

score 137 · Answer 6 · 2021-06-23 16:13:19

137

Views

On boundary values of ${\cal C}^\infty_c$ functions

Published on 23 Jun 2021 - 16:13

score 125 · Answer 7 · 2021-06-26 13:48:21

125

Views

Derivation on $ {\cal C}^\infty_0 (\mathbb R)$

Published on 26 Jun 2021 - 13:48

score 2.7k · Answer 8 · 2021-06-27 09:59:50

2.7k

Views

Different definition for L smooth function.

Published on 27 Jun 2021 - 9:59

score 181 · Answer 9 · 2026-03-27 14:59:11

181

Views

Defining the tangent space of a manifold via composition with curves

Published on 27 Mar 2026 - 14:59

score 112 · Answer 10 · 2021-07-01 09:39:30

112

Views

Prove that if $\mathbb Z \cap \{x(t)\ |\ t \in \mathbb R\}$ is non-empty then $x$ is constant.

Published on 01 Jul 2021 - 9:39

score 90 · Answer 11 · 2021-07-05 13:42:57

90

Views

On properties of the support of ${\cal C}^{\infty}_c$ functions

Published on 05 Jul 2021 - 13:42

score 113 · Answer 12 · 2021-07-13 04:52:54

113

Views

Convergence of expected value of the function when it has the Lipschitz continuous gradient property?

Published on 13 Jul 2021 - 4:52

score 2.3k · Answer 13 · 2021-07-27 16:33:32

2.3k

Views

Dirac's $\delta$ distribution smooth approximation

Published on 27 Jul 2021 - 16:33

score 280 · Answer 14 · 2026-03-28 05:23:18

280

Views

Is the boundary of a $k$-manifold with corners a $(k-1)$-manifold with corners too?

Published on 28 Mar 2026 - 5:23

score 107 · Answer 15 · 2026-03-27 05:38:10

107

Views

Multiplication of a real algebra is a smooth map

Published on 27 Mar 2026 - 5:38

List Question

Smoothness of parameter-dependent integral implies smoothness of integrand

Can two functions with this property intersect at a "bad" set of points?

How can we construct a compactly supported function which is equal to $1$ on a given interval?

How can I smoothly transform one periodic function into another if the period time is allowed to differ?

Show that $f^{(n)} (0) = 0,$ for all $n \geq 1.$

On boundary values of ${\cal C}^\infty_c$ functions

Derivation on $ {\cal C}^\infty_0 (\mathbb R)$

Different definition for L smooth function.

Defining the tangent space of a manifold via composition with curves

Prove that if $\mathbb Z \cap \{x(t)\ |\ t \in \mathbb R\}$ is non-empty then $x$ is constant.

On properties of the support of ${\cal C}^{\infty}_c$ functions

Convergence of expected value of the function when it has the Lipschitz continuous gradient property?

Dirac's $\delta$ distribution smooth approximation

Is the boundary of a $k$-manifold with corners a $(k-1)$-manifold with corners too?

Multiplication of a real algebra is a smooth map

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