Question

Is this sum rational or not? $1/(q+1)+1/(q+2)(q+1)...$ where $q$ is an integer

score 91 · Answer 1 · 2026-04-15 09:33:03

91

Views

Is this sum rational or not? $1/(q+1)+1/(q+2)(q+1)...$ where $q$ is an integer

Published on 15 Apr 2026 - 9:33

score 82 · Answer 2 · 2026-04-13 00:05:52

82

Views

A discontinuous function such that $f(y) - f(x) \leq (x-y)^2$

Published on 13 Apr 2026 - 0:05

score 124 · Answer 3 · 2026-05-02 18:48:58

124

Views

Where is positive or negative the function $\sum_{n=1}^\infty\frac{\mu(n)}{n}\left(\frac{\cos(nx)}{n}\right)^2$ over the set $[0,2\pi]$?

Published on 02 May 2026 - 18:48

score 177 · Answer 4 · 2026-04-12 20:19:09

177

Views

Justify an approximation of $\sum_{k=1}^\infty\operatorname{Ei}(-k)$, where $\operatorname{Ei}(x)$ denotes the exponential integral function

Published on 12 Apr 2026 - 20:19

score 80 · Answer 5 · 2026-04-16 13:25:15

80

Views

Is this sum integer? $b! \pi+1/(b+1)+1/(b+2)(b+1)+...$, where $b \neq 0$.

Published on 16 Apr 2026 - 13:25

score 85 · Answer 6 · 2026-04-07 12:45:52

85

Views

Directional derivative of a function (Munkres)

Published on 07 Apr 2026 - 12:45

score 158 · Answer 7 · 2026-04-14 00:14:10

158

Views

Equivalences of a tight sequence of probability measures on $\mathbb{R}^{k}$

Published on 14 Apr 2026 - 0:14

score 119 · Answer 8 · 2026-04-17 01:25:39

119

Views

Proving that $(a+b)^p + (a-b)^p \geq 2a^p + p(p-1)a^{p-2}b^2$ for $p \in [1,2]$ and $0 \leq b \leq a$

Published on 17 Apr 2026 - 1:25

score 70 · Answer 9 · 2026-04-17 03:40:16

70

Views

Product of probability measures $\mu_{n}\nu_{n}\implies\mu\nu$ if and only if $\mu_{n}\implies\mu$ and $\nu_{n}\implies\nu$

Published on 17 Apr 2026 - 3:40

score 148 · Answer 10 · 2026-04-16 13:08:40

148

Views

If $X$ is a finite dimensional vector space, is it true that $\bigcap_{k=1}^n ker(f_k) =\{0\}$ for any $n\in\mathbb{N}?$

Published on 16 Apr 2026 - 13:08

score 291 · Answer 11 · 2026-03-29 01:07:47

291

Views

How to show that the set of all non-decreasing functions $f:\mathbb{Z} \rightarrow \{ 0, 1\}$ is countable?

Published on 29 Mar 2026 - 1:07

score 36 · Answer 12 · 2026-04-22 18:55:11

36

Views

Questions about $Lip_k[0,1]$

Published on 22 Apr 2026 - 18:55

score 265 · Answer 13 · 2026-04-15 23:06:18

Showing the set is closed and the set of discontinuities of $f$ is possibly a union of countably many closed sets

score 81 · Answer 14 · 2026-04-29 12:28:01

81

Views

Spectral Theorem for bounded selfadjoint operators

Published on 29 Apr 2026 - 12:28

score 57 · Answer 15 · 2026-04-16 05:17:44

57

Views

$P(x) \sim_{ n \rightarrow \infty} x^{n}$

Published on 16 Apr 2026 - 5:17

List Question

Is this sum rational or not? $1/(q+1)+1/(q+2)(q+1)...$ where $q$ is an integer

A discontinuous function such that $f(y) - f(x) \leq (x-y)^2$

Where is positive or negative the function $\sum_{n=1}^\infty\frac{\mu(n)}{n}\left(\frac{\cos(nx)}{n}\right)^2$ over the set $[0,2\pi]$?

Justify an approximation of $\sum_{k=1}^\infty\operatorname{Ei}(-k)$, where $\operatorname{Ei}(x)$ denotes the exponential integral function

Is this sum integer? $b! \pi+1/(b+1)+1/(b+2)(b+1)+...$, where $b \neq 0$.

Directional derivative of a function (Munkres)

Equivalences of a tight sequence of probability measures on $\mathbb{R}^{k}$

Proving that $(a+b)^p + (a-b)^p \geq 2a^p + p(p-1)a^{p-2}b^2$ for $p \in [1,2]$ and $0 \leq b \leq a$

Product of probability measures $\mu_{n}\nu_{n}\implies\mu\nu$ if and only if $\mu_{n}\implies\mu$ and $\nu_{n}\implies\nu$

If $X$ is a finite dimensional vector space, is it true that $\bigcap_{k=1}^n ker(f_k) =\{0\}$ for any $n\in\mathbb{N}?$

How to show that the set of all non-decreasing functions $f:\mathbb{Z} \rightarrow \{ 0, 1\}$ is countable?

Questions about $Lip_k[0,1]$

Showing the set is closed and the set of discontinuities of $f$ is possibly a union of countably many closed sets

Spectral Theorem for bounded selfadjoint operators

$P(x) \sim_{ n \rightarrow \infty} x^{n}$

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