Question

Constructive proof of existence of minimal prime ideals.

score 296 · Answer 1 · 2023-02-27 01:57:05

296

Views

Constructive proof of existence of minimal prime ideals.

Published on 27 Feb 2023 - 1:57

score 235 · Answer 2 · 2023-02-27 20:04:59

235

Views

Determinant of Green function

Published on 27 Feb 2023 - 20:04

score 93 · Answer 3 · 2023-02-28 05:58:53

93

Views

Prove $\cup_{i=1}^\infty A_i = \mathbb{N}$ where $A_i = 2^{i-1}\{1,3,5,7,...\}$

Published on 28 Feb 2023 - 5:58

score 175 · Answer 4 · 2026-03-26 03:01:38

175

Views

Show $2F\left(\frac{x+y}{2}\right)\geq F(x)+F(y)$

Published on 26 Mar 2026 - 3:01

score 227 · Answer 5 · 2026-04-03 07:31:21

227

Views

If the Fourier coefficient $\hat{f}(k)$ of $f\in C^1(\mathbb T)$ is zero for all $|k|<N$, then $\|f\|_{L^\infty}\leq \frac CN \|f'\|_{L^\infty}$

Published on 03 Apr 2026 - 7:31

score 1.1k · Answer 6 · 2026-03-26 21:10:33

1.1k

Views

In a deck of cards, do a queen and a non-queen have equal chances of being the card that follows the first queen?

Published on 26 Mar 2026 - 21:10

score 126 · Answer 7 · 2026-03-28 07:57:13

126

Views

First step of an alternative proof of Bennett's inequality - Moment Generating Function inequality

Published on 28 Mar 2026 - 7:57

score 38 · Answer 8 · 2023-03-12 22:08:15

38

Views

Question on the proof that if $E \subset \mathbb R$ and $E = H \cup N$ with $H$ a $F_\sigma$ set and $\mu(N) = 0$, then $E \subset \mathcal A_{\mu}$

Published on 12 Mar 2023 - 22:08

score 39 · Answer 9 · 2023-03-14 02:21:53

39

Views

Inequality Problem Involving a Finite Sequence of Reals.

Published on 14 Mar 2023 - 2:21

score 92 · Answer 10 · 2026-04-02 01:24:19

92

Views

Alternative proofs that connectedness is not a first-order property of simple graphs

Published on 02 Apr 2026 - 1:24

score 65 · Answer 11 · 2023-03-17 16:45:25

Showing that if $f \in H(\mathbb D)$ and is nonzero then $f(z)=z^n g(z)$ for some $n \ge 0$ and some $g\in H(\mathbb D)$ satisfying $g(0)\ne 0$.

score 182 · Answer 12 · 2023-03-19 14:47:19

182

Views

A better way to prove $|x - w| + |y - z| \geq |x - z| + |y - w|$ if $x\leq y$ and $z\leq w$

Published on 19 Mar 2023 - 14:47

score 93 · Answer 13 · 2023-03-20 17:22:18

93

Views

Prove $(n+1)^{m+1}-(-n)^{m+1}$ is divisible by $2n+1$

Published on 20 Mar 2023 - 17:22

score 51 · Answer 14 · 2023-03-27 23:56:48

51

Views

If $f \in L^1 (\mathbb R^d)$ then $\lim_{h \to 0} \int |f(x+h)-f(x)| d x = 0$

Published on 27 Mar 2023 - 23:56

score 658 · Answer 15 · 2023-03-29 12:04:47

658

Views

An alternative lower bound for $\prod_{ i,j = 1}^n\frac{1+a_ia_j}{1-a_ia_j} $

Published on 29 Mar 2023 - 12:04

List Question

Constructive proof of existence of minimal prime ideals.

Determinant of Green function

Prove $\cup_{i=1}^\infty A_i = \mathbb{N}$ where $A_i = 2^{i-1}\{1,3,5,7,...\}$

Show $2F\left(\frac{x+y}{2}\right)\geq F(x)+F(y)$

If the Fourier coefficient $\hat{f}(k)$ of $f\in C^1(\mathbb T)$ is zero for all $|k|<N$, then $\|f\|_{L^\infty}\leq \frac CN \|f'\|_{L^\infty}$

In a deck of cards, do a queen and a non-queen have equal chances of being the card that follows the first queen?

First step of an alternative proof of Bennett's inequality - Moment Generating Function inequality

Question on the proof that if $E \subset \mathbb R$ and $E = H \cup N$ with $H$ a $F_\sigma$ set and $\mu(N) = 0$, then $E \subset \mathcal A_{\mu}$

Inequality Problem Involving a Finite Sequence of Reals.

Alternative proofs that connectedness is not a first-order property of simple graphs

Showing that if $f \in H(\mathbb D)$ and is nonzero then $f(z)=z^n g(z)$ for some $n \ge 0$ and some $g\in H(\mathbb D)$ satisfying $g(0)\ne 0$.

A better way to prove $|x - w| + |y - z| \geq |x - z| + |y - w|$ if $x\leq y$ and $z\leq w$

Prove $(n+1)^{m+1}-(-n)^{m+1}$ is divisible by $2n+1$

If $f \in L^1 (\mathbb R^d)$ then $\lim_{h \to 0} \int |f(x+h)-f(x)| d x = 0$

An alternative lower bound for $\prod_{ i,j = 1}^n\frac{1+a_ia_j}{1-a_ia_j} $

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