Question

$M \subseteq \mathbb R$ exist, so that $\lambda^{1}(M \cap I)= \frac{1}{2}\lambda^{1}(I)$ for any bounded Interval $I\subseteq \mathbb R$.

score 40 · Answer 1 · 2020-01-22 20:29:32

40

Views

$M \subseteq \mathbb R$ exist, so that $\lambda^{1}(M \cap I)= \frac{1}{2}\lambda^{1}(I)$ for any bounded Interval $I\subseteq \mathbb R$.

Published on 22 Jan 2020 - 20:29

score 43 · Answer 2 · 2026-03-28 20:57:05

43

Views

Prove that$ \mu(A) \geq \lambda^{+}(A) $and $\nu(A) \geq \lambda^{-}(A)$ for every $A \in A$.

Published on 28 Mar 2026 - 20:57

score 92 · Answer 3 · 2026-03-29 16:38:56

92

Views

Characterize the function that can be expressed as a Riemann integral of a certain function

Published on 29 Mar 2026 - 16:38

score 280 · Answer 4 · 2026-04-12 01:49:52

280

Views

What is the meaning of measure valued function?

Published on 12 Apr 2026 - 1:49

score 42 · Answer 5 · 2026-04-04 06:20:48

42

Views

If $\int_{M} f \ d\mu > 0$ then $f(x) > 0$ for some $x \in M$?

Published on 04 Apr 2026 - 6:20

score 95 · Answer 6 · 2020-01-24 09:36:20

95

Views

set with measure invariant under translation has 0 or full measure

Published on 24 Jan 2020 - 9:36

score 86 · Answer 7 · 2020-01-24 12:33:08

86

Views

Find an integrable $f$ on $[0, 1]^2$

Published on 24 Jan 2020 - 12:33

score 22 · Answer 8 · 2020-01-26 13:04:21

22

Views

What does $P(x, r)$ parallelepiped mean?

Published on 26 Jan 2020 - 13:04

score 37 · Answer 9 · 2026-03-28 13:36:29

37

Views

Borel set and Lebesgue

Published on 28 Mar 2026 - 13:36

score 91 · Answer 10 · 2026-03-28 12:02:43

91

Views

Rationals (or any dense set) in $[0,1]$ has measure 1?

Published on 28 Mar 2026 - 12:02

score 208 · Answer 11 · 2026-04-11 00:11:19

208

Views

Prove that Random Variable is not absolutely continuous with respect to Lebesgue measure

Published on 11 Apr 2026 - 0:11

score 706 · Answer 12 · 2026-04-12 13:22:37

706

Views

Question about proving singleton set has outer measure zero

Published on 12 Apr 2026 - 13:22

score 353 · Answer 13 · 2026-03-25 17:29:46

353

Views

Prove that the empty set has outer measure zero verification

Published on 25 Mar 2026 - 17:29

score 44 · Answer 14 · 2026-04-12 03:51:24

44

Views

The closure of Infinite set in interval

Published on 12 Apr 2026 - 3:51

score 183 · Answer 15 · 2026-04-04 06:17:58

183

Views

Proof of separability of $Lp[0,1]$ spaces

Published on 04 Apr 2026 - 6:17

List Question

$M \subseteq \mathbb R$ exist, so that $\lambda^{1}(M \cap I)= \frac{1}{2}\lambda^{1}(I)$ for any bounded Interval $I\subseteq \mathbb R$.

Prove that$ \mu(A) \geq \lambda^{+}(A) $and $\nu(A) \geq \lambda^{-}(A)$ for every $A \in A$.

Characterize the function that can be expressed as a Riemann integral of a certain function

What is the meaning of measure valued function?

If $\int_{M} f \ d\mu > 0$ then $f(x) > 0$ for some $x \in M$?

set with measure invariant under translation has 0 or full measure

Find an integrable $f$ on $[0, 1]^2$

What does $P(x, r)$ parallelepiped mean?

Borel set and Lebesgue

Rationals (or any dense set) in $[0,1]$ has measure 1?

Prove that Random Variable is not absolutely continuous with respect to Lebesgue measure

Question about proving singleton set has outer measure zero

Prove that the empty set has outer measure zero verification

The closure of Infinite set in interval

Proof of separability of $Lp[0,1]$ spaces

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