Question

Why $x \mapsto f(x) + \frac{x}{n}$ is a strictly increasing function? and how to prove that $A$ ia an interval?

score 78 · Answer 1 · 2021-11-02 00:52:37

78

Views

Why $x \mapsto f(x) + \frac{x}{n}$ is a strictly increasing function? and how to prove that $A$ ia an interval?

Published on 02 Nov 2021 - 0:52

score 20 · Answer 2 · 2021-11-03 21:25:46

20

Views

Prove sufficient and necessary condition for a function to be measurable

Published on 03 Nov 2021 - 21:25

score 154 · Answer 3 · 2021-11-06 08:42:42

154

Views

If a function is equal to an integrable function almost everywhere, is it integrable?

Published on 06 Nov 2021 - 8:42

score 47 · Answer 4 · 2021-11-06 18:42:26

47

Views

Prove: $f:[0,1]\times[0,1]\rightarrow\mathbb{R}$ / $f(x,y)=1$ if $x\in \mathbb{Q}\cap[0,1], y\in [0,1]$ and $f(x,y)=0$ else, is Lebesgue measurable

Published on 06 Nov 2021 - 18:42

score 165 · Answer 5 · 2021-11-07 14:27:55

165

Views

Approximating measurable functions by continuous functions

Published on 07 Nov 2021 - 14:27

score 126 · Answer 6 · 2021-11-07 16:08:54

126

Views

A characterization of positive definite conditional covariance matrices

Published on 07 Nov 2021 - 16:08

score 214 · Answer 7 · 2021-11-08 07:01:40

214

Views

Is a measureable function on a polish space an a.s. limit of continuous functions?

Published on 08 Nov 2021 - 7:01

score 34 · Answer 8 · 2026-03-26 12:46:13

34

Views

$g = \chi_{E}$ where $E = \{(x, t): t \ge f(x)\}$, a function in two variables, is measurable

Published on 26 Mar 2026 - 12:46

score 49 · Answer 9 · 2021-11-10 12:53:51

49

Views

Does the limit exists in this topology on $L^0$?

Published on 10 Nov 2021 - 12:53

score 264 · Answer 10 · 2021-11-11 10:31:12

264

Views

Functions measurable with respect to the join of sigma fields

Published on 11 Nov 2021 - 10:31

score 58 · Answer 11 · 2021-11-11 12:19:06

58

Views

Limit of an equivalence class of measurable functions

Published on 11 Nov 2021 - 12:19

score 40 · Answer 12 · 2021-11-11 21:54:59

40

Views

Is $\text{span}_{L^0} (\mathcal S)$ sequentially closed under convergence in probability?

Published on 11 Nov 2021 - 21:54

score 81 · Answer 13 · 2021-11-12 16:42:10

81

Views

Conditional projection theorem in $\mathcal L^+$

Published on 12 Nov 2021 - 16:42

score 88 · Answer 14 · 2026-03-26 12:53:10

88

Views

Measurability of (random) set valued functions

Published on 26 Mar 2026 - 12:53

score 90 · Answer 15 · 2021-11-14 15:56:37

90

Views

how to show that any monotone function defined on a measurable set is measurable?

Published on 14 Nov 2021 - 15:56

List Question

Why $x \mapsto f(x) + \frac{x}{n}$ is a strictly increasing function? and how to prove that $A$ ia an interval?

Prove sufficient and necessary condition for a function to be measurable

If a function is equal to an integrable function almost everywhere, is it integrable?

Prove: $f:[0,1]\times[0,1]\rightarrow\mathbb{R}$ / $f(x,y)=1$ if $x\in \mathbb{Q}\cap[0,1], y\in [0,1]$ and $f(x,y)=0$ else, is Lebesgue measurable

Approximating measurable functions by continuous functions

A characterization of positive definite conditional covariance matrices

Is a measureable function on a polish space an a.s. limit of continuous functions?

$g = \chi_{E}$ where $E = \{(x, t): t \ge f(x)\}$, a function in two variables, is measurable

Does the limit exists in this topology on $L^0$?

Functions measurable with respect to the join of sigma fields

Limit of an equivalence class of measurable functions

Is $\text{span}_{L^0} (\mathcal S)$ sequentially closed under convergence in probability?

Conditional projection theorem in $\mathcal L^+$

Measurability of (random) set valued functions

how to show that any monotone function defined on a measurable set is measurable?

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