Question

Check proof that $\int _{-\pi}^\pi\sum\limits_{n=2}^\infty\tan(x/2^n)\mathrm dx=\sum\limits_{n=2}^\infty\int_{-\pi}^\pi\tan(x/2^n)\mathrm dx$

score 100 · Answer 1 · 2026-03-28 21:34:26

100

Views

Check proof that $\int _{-\pi}^\pi\sum\limits_{n=2}^\infty\tan(x/2^n)\mathrm dx=\sum\limits_{n=2}^\infty\int_{-\pi}^\pi\tan(x/2^n)\mathrm dx$

Published on 28 Mar 2026 - 21:34

score 160 · Answer 2 · 2026-02-23 04:52:42

160

Views

Proof-checking proof of Banach space

Published on 23 Feb 2026 - 4:52

score 35 · Answer 3 · 2018-08-22 16:37:40

Is this proof form valid, where a function construction contradicts an axiom but it required that axiom to construct?

score 318 · Answer 4 · 2018-08-22 18:35:21

318

Views

$\{f_n(x)\}$ sequence of non-negative continuous functions such that $f_{n+1}(x) \le f_n(x)$. Prove $\lim f_n(x) = f(x)$ for all $x \in \mathbb R$.

Published on 22 Aug 2018 - 18:35

score 252 · Answer 5 · 2026-03-26 01:10:31

252

Views

Compute the variance of $\bar X$ given $\mathrm{Cov}[X_i,X_j]$

Published on 26 Mar 2026 - 1:10

score 718 · Answer 6 · 2026-03-29 13:21:42

718

Views

Solution Check to a Partial Differential Equation

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score 39 · Answer 7 · 2026-03-31 17:43:57

39

Views

About idempotent element

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score 65 · Answer 8 · 2026-03-26 04:14:43

65

Views

Doubt on Laurent series of $f(z) = 1/z(z-2)^2$

Published on 26 Mar 2026 - 4:14

score 33 · Answer 9 · 2026-03-26 02:57:57

33

Views

To show that length of $\beta$ is bounded above by length of $\alpha$.

Published on 26 Mar 2026 - 2:57

score 564 · Answer 10 · 2026-03-28 02:24:31

564

Views

Prove that if $n, m \in \mathbb{N}$, then $m+n \neq n$ (by induction/contradiction)

Published on 28 Mar 2026 - 2:24

score 71 · Answer 11 · 2026-03-25 19:11:22

71

Views

Questions on the length of a positive integer $a\in \mathbb{Z}^+$.

Published on 25 Mar 2026 - 19:11

score 204 · Answer 12 · 2026-03-25 04:37:55

204

Views

Simple disproof of Danzer — Grünbaum conjecture

Published on 25 Mar 2026 - 4:37

score 67 · Answer 13 · 2026-03-25 01:22:29

67

Views

Does regular Eisenstein's Criterion apply to a GCD domain?

Published on 25 Mar 2026 - 1:22

score 369 · Answer 14 · 2018-08-24 20:46:33

369

Views

What is the best way to prove: Prove every x is Q.

Published on 24 Aug 2018 - 20:46

score 285 · Answer 15 · 2018-08-24 21:16:18

285

Views

Show by example that the uncountable supremum of Borel measurable functions need not be Borel measurable.

Published on 24 Aug 2018 - 21:16

List Question

Check proof that $\int _{-\pi}^\pi\sum\limits_{n=2}^\infty\tan(x/2^n)\mathrm dx=\sum\limits_{n=2}^\infty\int_{-\pi}^\pi\tan(x/2^n)\mathrm dx$

Proof-checking proof of Banach space

Is this proof form valid, where a function construction contradicts an axiom but it required that axiom to construct?

$\{f_n(x)\}$ sequence of non-negative continuous functions such that $f_{n+1}(x) \le f_n(x)$. Prove $\lim f_n(x) = f(x)$ for all $x \in \mathbb R$.

Compute the variance of $\bar X$ given $\mathrm{Cov}[X_i,X_j]$

Solution Check to a Partial Differential Equation

About idempotent element

Doubt on Laurent series of $f(z) = 1/z(z-2)^2$

To show that length of $\beta$ is bounded above by length of $\alpha$.

Prove that if $n, m \in \mathbb{N}$, then $m+n \neq n$ (by induction/contradiction)

Questions on the length of a positive integer $a\in \mathbb{Z}^+$.

Simple disproof of Danzer — Grünbaum conjecture

Does regular Eisenstein's Criterion apply to a GCD domain?

What is the best way to prove: Prove every x is Q.

Show by example that the uncountable supremum of Borel measurable functions need not be Borel measurable.

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