Question

if $\{f_n\}\to f$ in $L^{p_2}(E)$ then $\{f_n\}\to f$ in $L^{p_1}(E)$.

score 59 · Answer 1 · 2026-03-25 12:51:01

59

Views

if $\{f_n\}\to f$ in $L^{p_2}(E)$ then $\{f_n\}\to f$ in $L^{p_1}(E)$.

Published on 25 Mar 2026 - 12:51

score 89 · Answer 2 · 2019-12-15 01:38:12

89

Views

Induction Proof - Number Sequence

Published on 15 Dec 2019 - 1:38

score 226 · Answer 3 · 2026-03-27 22:31:07

226

Views

Prove that for any $\epsilon > 0$, $\mathbb{P}\left (\frac{S_n}{n} > p+\epsilon\right) \leq e^{-\frac{1}{4}n\epsilon^2}$.

Published on 27 Mar 2026 - 22:31

score 269 · Answer 4 · 2019-12-15 02:47:38

269

Views

Easier proof that if a commutative ring has only two ideals it is a field?

Published on 15 Dec 2019 - 2:47

score 59 · Answer 5 · 2026-03-29 05:49:54

59

Views

Proving uniform continuity for $x/(1+x)$ on $[0,\infty)$

Published on 29 Mar 2026 - 5:49

score 168 · Answer 6 · 2019-12-15 03:58:03

168

Views

Intersection of two open sets is open

Published on 15 Dec 2019 - 3:58

score 79 · Answer 7 · 2019-12-15 06:09:43

79

Views

if $1 \le p_1 < p_2 < \infty$, $f_n \rightharpoonup f$ W-$L^{P_2}$ implies $f_n \rightharpoonup f$ weakly in $L^{P_1}$

Published on 15 Dec 2019 - 6:09

score 89 · Answer 8 · 2026-03-26 17:35:35

89

Views

Can someone verify why the following alternate derivation regarding a non-central chi distribution giving different answer?

Published on 26 Mar 2026 - 17:35

score 625 · Answer 9 · 2019-12-15 08:00:08

625

Views

Show that $\{[0],[2],[4],[6],[8],[10]\}$ is subgroup of $\Bbb Z_{12}.$

Published on 15 Dec 2019 - 8:00

score 408 · Answer 10 · 2026-03-26 03:11:31

408

Views

How to quickly yet convincingly claim that edge contractions preserve outerplanarity

Published on 26 Mar 2026 - 3:11

score 701 · Answer 11 · 2026-03-25 22:23:55

701

Views

Proving by induction that strictly lower triangular matrix is nilpotent

Published on 25 Mar 2026 - 22:23

score 38 · Answer 12 · 2019-12-15 11:39:12

38

Views

Compute $\int_Rx^2+y^2$, where $R=\{(x,y)\in\mathbb{R}^2:|x|\leq|y|\leq2\}$.

Published on 15 Dec 2019 - 11:39

score 110 · Answer 13 · 2019-12-15 12:18:13

110

Views

Confusion About Area Distortion and Orientation of Ellipsoid

Published on 15 Dec 2019 - 12:18

score 55 · Answer 14 · 2019-12-15 13:10:34

55

Views

Sample the vectors in the plane

Published on 15 Dec 2019 - 13:10

score 67 · Answer 15 · 2019-12-15 17:27:17

67

Views

Prove that metric spaces form a proper class (MK axiomatics)

Published on 15 Dec 2019 - 17:27

List Question

if $\{f_n\}\to f$ in $L^{p_2}(E)$ then $\{f_n\}\to f$ in $L^{p_1}(E)$.

Induction Proof - Number Sequence

Prove that for any $\epsilon > 0$, $\mathbb{P}\left (\frac{S_n}{n} > p+\epsilon\right) \leq e^{-\frac{1}{4}n\epsilon^2}$.

Easier proof that if a commutative ring has only two ideals it is a field?

Proving uniform continuity for $x/(1+x)$ on $[0,\infty)$

Intersection of two open sets is open

if $1 \le p_1 < p_2 < \infty$, $f_n \rightharpoonup f$ W-$L^{P_2}$ implies $f_n \rightharpoonup f$ weakly in $L^{P_1}$

Can someone verify why the following alternate derivation regarding a non-central chi distribution giving different answer?

Show that $\{[0],[2],[4],[6],[8],[10]\}$ is subgroup of $\Bbb Z_{12}.$

How to quickly yet convincingly claim that edge contractions preserve outerplanarity

Proving by induction that strictly lower triangular matrix is nilpotent

Compute $\int_Rx^2+y^2$, where $R=\{(x,y)\in\mathbb{R}^2:|x|\leq|y|\leq2\}$.

Confusion About Area Distortion and Orientation of Ellipsoid

Sample the vectors in the plane

Prove that metric spaces form a proper class (MK axiomatics)

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