Question

$X = \bigcup_{x \in M}T_{x}M$ of tangent vetorial spaces to $M$ in all points is a null measure set in $\mathbb{R}^{p}$

score 69 · Answer 1 · 2026-04-12 08:54:13

69

Views

$X = \bigcup_{x \in M}T_{x}M$ of tangent vetorial spaces to $M$ in all points is a null measure set in $\mathbb{R}^{p}$

Published on 12 Apr 2026 - 8:54

score 603 · Answer 2 · 2026-04-16 09:24:54

603

Views

Why is $(C([a,b]),||\cdot||_{1})$ not complete?

Published on 16 Apr 2026 - 9:24

score 141 · Answer 3 · 2026-04-22 16:10:23

141

Views

Where does this proof of ergodicity fail?

Published on 22 Apr 2026 - 16:10

score 151 · Answer 4 · 2026-04-22 12:29:19

151

Views

What's a condition that's weaker than uniform integrability and implies convergence of an integral to $0$?

Published on 22 Apr 2026 - 12:29

score 142 · Answer 5 · 2026-04-12 22:20:25

142

Views

Are they different Sigma algebras generated by a semialgebra and an algegra?

Published on 12 Apr 2026 - 22:20

score 97 · Answer 6 · 2026-04-10 02:05:10

97

Views

Closed linear span of translations of simple step functions

Published on 10 Apr 2026 - 2:05

score 760 · Answer 7 · 2026-04-12 22:09:54

760

Views

Over independence of probability in infinite events

Published on 12 Apr 2026 - 22:09

score 390 · Answer 8 · 2026-04-12 21:23:26

390

Views

Is a Finite Integration Interval, for Dirac Delta Functionals, Allowed?

Published on 12 Apr 2026 - 21:23

score 186 · Answer 9 · 2026-04-17 15:47:24

186

Views

$\lim_{p\to r} \|f\|_p=\|f\|_r$

Published on 17 Apr 2026 - 15:47

score 31 · Answer 10 · 2026-04-12 20:53:15

31

Views

$|E|_e^{'} = |E|_e$ for every $E \subset \mathbb R^n$, where $|E|_e$ is the exterior measure of the set $E$

Published on 12 Apr 2026 - 20:53

score 68 · Answer 11 · 2026-04-15 21:28:55

68

Views

$\lim_n (\int\frac{e^{-nx}}{\sqrt{x}}d\mu)_{n\in\mathbb{N}}$

Published on 15 Apr 2026 - 21:28

score 50 · Answer 12 · 2026-04-15 13:35:37

50

Views

Inequality in $L^p(\Omega)$ space with $\Omega$ $\sigma$-finite.

Published on 15 Apr 2026 - 13:35

score 119 · Answer 13 · 2026-04-11 17:01:54

119

Views

About an exercise in Rudin's book

Published on 11 Apr 2026 - 17:01

score 84 · Answer 14 · 2026-04-16 09:35:47

84

Views

Show that $\mu(E) = 0)$ iff $\mu(E \cap E(n)) =0$ for all $n\in \mathbb{N}$.

Published on 16 Apr 2026 - 9:35

score 344 · Answer 15 · 2026-04-11 20:21:09

344

Views

Proof of Sard's theorem.

Published on 11 Apr 2026 - 20:21

List Question

$X = \bigcup_{x \in M}T_{x}M$ of tangent vetorial spaces to $M$ in all points is a null measure set in $\mathbb{R}^{p}$

Why is $(C([a,b]),||\cdot||_{1})$ not complete?

Where does this proof of ergodicity fail?

What's a condition that's weaker than uniform integrability and implies convergence of an integral to $0$?

Are they different Sigma algebras generated by a semialgebra and an algegra?

Closed linear span of translations of simple step functions

Over independence of probability in infinite events

Is a Finite Integration Interval, for Dirac Delta Functionals, Allowed?

$\lim_{p\to r} \|f\|_p=\|f\|_r$

$|E|_e^{'} = |E|_e$ for every $E \subset \mathbb R^n$, where $|E|_e$ is the exterior measure of the set $E$

$\lim_n (\int\frac{e^{-nx}}{\sqrt{x}}d\mu)_{n\in\mathbb{N}}$

Inequality in $L^p(\Omega)$ space with $\Omega$ $\sigma$-finite.

About an exercise in Rudin's book

Show that $\mu(E) = 0)$ iff $\mu(E \cap E(n)) =0$ for all $n\in \mathbb{N}$.

Proof of Sard's theorem.

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