Question

Proof verification using Schwarz Lemma

score 100 · Answer 1 · 2026-04-23 15:30:13

100

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Proof verification using Schwarz Lemma

Published on 23 Apr 2026 - 15:30

score 275 · Answer 2 · 2026-04-16 02:08:03

275

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Have I proved in ZF $\aleph (X) \lt \aleph (\mathscr P^3(X))$?

Published on 16 Apr 2026 - 2:08

score 68 · Answer 3 · 2026-04-15 22:34:57

68

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$\int_0^{+\infty} f(x) dx = - \lim_{a\rightarrow 0^+} \frac{1}{a} \sum Res_{\Bbb{C} \setminus \Bbb{R}^+} (f(z)z^a)$?

Published on 15 Apr 2026 - 22:34

score 630 · Answer 4 · 2026-04-15 05:21:32

630

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Is a set of measure zero in $\mathbb{R}$ totally disconnected?

Published on 15 Apr 2026 - 5:21

score 37 · Answer 5 · 2026-04-11 17:31:00

37

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A question on the equality between two sets.

Published on 11 Apr 2026 - 17:31

score 278 · Answer 6 · 2026-04-16 16:25:21

278

Views

Show that for every real number x, there exists an integer n so that $\ \left|n\ -x\right|\ \le\ \frac{1}{2}$

Published on 16 Apr 2026 - 16:25

score 48 · Answer 7 · 2026-04-09 09:56:15

48

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An inequality about borel measures in a proof

Published on 09 Apr 2026 - 9:56

score 35 · Answer 8 · 2026-04-16 09:12:08

35

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Verify that $f(x)=\frac{1}{x}-\frac{1}{x_0}$ is continuous for every $x_0\neq 0$.

Published on 16 Apr 2026 - 9:12

score 97 · Answer 9 · 2026-04-09 17:04:10

97

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Eigenvalue of a matrix $A$

Published on 09 Apr 2026 - 17:04

score 132 · Answer 10 · 2026-04-13 23:34:33

132

Views

Let gh be a chord of a circle ω which is not a diameter, and let A be a fixed point on gh

Published on 13 Apr 2026 - 23:34

score 130 · Answer 11 · 2026-04-15 13:17:11

130

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No continuous function $f$ on $\mathbb{R}$ such that $f(x)=1_{[0,1]}(x)$ almost everywhere

Published on 15 Apr 2026 - 13:17

score 56 · Answer 12 · 2026-04-12 16:28:17

56

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Solution verification: Writing a sum in the Cantor normal form

Published on 12 Apr 2026 - 16:28

score 77 · Answer 13 · 2026-04-17 04:42:46

77

Views

Find $T^* $, where $T$ is the linear operator defined by $T \epsilon_1 = (1, - 2), \,\,T\epsilon_2 =(i, - 1)$.

Published on 17 Apr 2026 - 4:42

score 136 · Answer 14 · 2026-04-14 23:19:15

136

Views

Solving a 1D heat transfer ODE BVP problem $\frac{d}{dx}(k\frac{du}{dx})$ over three homogeneous layers.

Published on 14 Apr 2026 - 23:19

score 290 · Answer 15 · 2026-04-14 04:28:10

290

Views

Every uncountable closed set contains a perfect subset

Published on 14 Apr 2026 - 4:28

List Question

Proof verification using Schwarz Lemma

Have I proved in ZF $\aleph (X) \lt \aleph (\mathscr P^3(X))$?

$\int_0^{+\infty} f(x) dx = - \lim_{a\rightarrow 0^+} \frac{1}{a} \sum Res_{\Bbb{C} \setminus \Bbb{R}^+} (f(z)z^a)$?

Is a set of measure zero in $\mathbb{R}$ totally disconnected?

A question on the equality between two sets.

Show that for every real number x, there exists an integer n so that $\ \left|n\ -x\right|\ \le\ \frac{1}{2}$

An inequality about borel measures in a proof

Verify that $f(x)=\frac{1}{x}-\frac{1}{x_0}$ is continuous for every $x_0\neq 0$.

Eigenvalue of a matrix $A$

Let gh be a chord of a circle ω which is not a diameter, and let A be a fixed point on gh

No continuous function $f$ on $\mathbb{R}$ such that $f(x)=1_{[0,1]}(x)$ almost everywhere

Solution verification: Writing a sum in the Cantor normal form

Find $T^* $, where $T$ is the linear operator defined by $T \epsilon_1 = (1, - 2), \,\,T\epsilon_2 =(i, - 1)$.

Solving a 1D heat transfer ODE BVP problem $\frac{d}{dx}(k\frac{du}{dx})$ over three homogeneous layers.

Every uncountable closed set contains a perfect subset

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