List questions from measurable-functions

Published on 12 May 2021 - 22:18

172

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Expectation of dirac measure of a function

Published on 13 May 2021 - 10:16

54

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Studying the integrability of a function $f:\mathbb R^3\to\mathbb R$ in a neighbourhood of its singularity

Published on 13 May 2021 - 16:28

125

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Can we say that $\lambda (A) = 0\ $?

Published on 16 May 2021 - 20:46

88

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Integration on a subset

Published on 18 May 2021 - 4:34

106

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Lebesgue Integration on a subset of a set X

Published on 18 May 2021 - 7:58

443

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If $\mathcal{S}=\{\emptyset, X\}$ the only $\mathcal{S}$-measurable functions from $X\to\mathbb{R}$ are the constant functions

Published on 30 Mar 2026 - 23:42

24

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Joint measurability with respect to a smaller $\sigma$-algebra

Published on 18 May 2021 - 19:09

347

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Prove that a set $E \subset R$ has non-measurable subsets if and only if $m∗(E)>0$

Published on 26 Mar 2026 - 9:40

148

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Compute a conditional probability given a random parameter

Published on 20 May 2021 - 19:30

196

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Does a strong law of large numbers hold in the continuum?

Published on 31 Mar 2026 - 5:41

982

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$f$ is measurable $\iff$ $f^{-1}(G)$ is measurable for open $G$.

Published on 23 May 2021 - 13:02

122

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Why is this set Lebesgue measurable?

Published on 24 May 2021 - 20:46

40

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Finding values for which the measure $ \eta $ is $ \sigma-$ finite

Published on 25 May 2021 - 3:11

184

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Measurability and $\mathbb P$-a.s. or everywhere

Published on 25 May 2021 - 10:06

List Question

How to draw the graph of the $\sum_{n\geq 0}1_{[0,n]}$

Expectation of dirac measure of a function

Studying the integrability of a function $f:\mathbb R^3\to\mathbb R$ in a neighbourhood of its singularity

Can we say that $\lambda (A) = 0\ $?

Integration on a subset

Lebesgue Integration on a subset of a set X

If $\mathcal{S}=\{\emptyset, X\}$ the only $\mathcal{S}$-measurable functions from $X\to\mathbb{R}$ are the constant functions

Joint measurability with respect to a smaller $\sigma$-algebra

Prove that a set $E \subset R$ has non-measurable subsets if and only if $m∗(E)>0$

Compute a conditional probability given a random parameter

Does a strong law of large numbers hold in the continuum?

$f$ is measurable $\iff$ $f^{-1}(G)$ is measurable for open $G$.

Why is this set Lebesgue measurable?

Finding values for which the measure $ \eta $ is $ \sigma-$ finite

Measurability and $\mathbb P$-a.s. or everywhere

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