Question

Is Shadowing Lemma specific to hyperbolic dynamical systems?

score 483 · Answer 1 · 2026-04-08 17:10:15

483

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Is Shadowing Lemma specific to hyperbolic dynamical systems?

Published on 08 Apr 2026 - 17:10

score 180 · Answer 2 · 2020-04-15 07:53:17

180

Views

Show that $K_T(A)\in\mathcal L\left(M_{n\times n}\right)$ is singular and find all matrices $T$ s.t. $\dim \operatorname{Ker}\left(K_T\right)=1$

Published on 15 Apr 2020 - 7:53

score 103 · Answer 3 · 2026-03-26 13:01:22

103

Views

Is it possible to have $\text{transcendental}^\text{transcendental} =\text{algebraic}$?

Published on 26 Mar 2026 - 13:01

score 54 · Answer 4 · 2026-03-25 17:42:28

54

Views

If $q^k n^2$ is an odd perfect number with special prime $q$, then $k \neq 1$ (MSE version)

Published on 25 Mar 2026 - 17:42

score 81 · Answer 5 · 2020-04-15 13:08:22

81

Views

Is this a good way for proving $A - B \subseteq A$?

Published on 15 Apr 2020 - 13:08

score 994 · Answer 6 · 2020-04-15 14:53:12

994

Views

Solution verification - Exercise 1.4 in Brezis's Functional Analysis

Published on 15 Apr 2020 - 14:53

score 28 · Answer 7 · 2026-03-29 06:02:26

28

Views

Is the following inductive argument valid for establishing the relationship between two recurrence relations?

Published on 29 Mar 2026 - 6:02

score 100 · Answer 8 · 2026-03-26 03:18:42

100

Views

Error in Milnor's Characteristic Class Chapter 12?

Published on 26 Mar 2026 - 3:18

score 332 · Answer 9 · 2020-04-15 15:47:27

332

Views

Show that $\exists c\in (0,1)$ such that $e^{f'(c)}=f(c)+1.$

Published on 15 Apr 2020 - 15:47

score 145 · Answer 10 · 2020-04-15 16:03:22

145

Views

Riemann's prime counting function $J(x)$ and the convergence of $\sum_{n=2}^{\infty} \frac{\ln(\zeta(n))}{n}$

Published on 15 Apr 2020 - 16:03

score 201 · Answer 11 · 2020-04-15 17:02:31

201

Views

Let $f:[a, b]\to\mathbb{R}$ be twice differentiable, satisfy $f(x)=f'(x)+f''(x)$ for each $x\in[a,b]$ and $f(a)=f(b)=0$.

Published on 15 Apr 2020 - 17:02

score 304 · Answer 12 · 2020-04-15 18:36:46

304

Views

Show that the two topological spaces arising from these metrics are homeomorphic.

Published on 15 Apr 2020 - 18:36

score 85 · Answer 13 · 2026-04-01 07:59:26

85

Views

Universal closure operation examples

Published on 01 Apr 2026 - 7:59

score 230 · Answer 14 · 2026-04-06 15:46:53

230

Views

Using the Divergence Theorem on the surface of a unit sphere

Published on 06 Apr 2026 - 15:46

score 57 · Answer 15 · 2026-03-28 20:08:13

57

Views

Let the Cauchy sequences $a_{n}$ and $a'_{n}$ be equivalent. If $b_{n}$ is Cauchy, then prove $a_{n}b_{n}$ is equivalent to $a'_{n}b_{n}$.

Published on 28 Mar 2026 - 20:08

List Question

Is Shadowing Lemma specific to hyperbolic dynamical systems?

Show that $K_T(A)\in\mathcal L\left(M_{n\times n}\right)$ is singular and find all matrices $T$ s.t. $\dim \operatorname{Ker}\left(K_T\right)=1$

Is it possible to have $\text{transcendental}^\text{transcendental} =\text{algebraic}$?

If $q^k n^2$ is an odd perfect number with special prime $q$, then $k \neq 1$ (MSE version)

Is this a good way for proving $A - B \subseteq A$?

Solution verification - Exercise 1.4 in Brezis's Functional Analysis

Is the following inductive argument valid for establishing the relationship between two recurrence relations?

Error in Milnor's Characteristic Class Chapter 12?

Show that $\exists c\in (0,1)$ such that $e^{f'(c)}=f(c)+1.$

Riemann's prime counting function $J(x)$ and the convergence of $\sum_{n=2}^{\infty} \frac{\ln(\zeta(n))}{n}$

Let $f:[a, b]\to\mathbb{R}$ be twice differentiable, satisfy $f(x)=f'(x)+f''(x)$ for each $x\in[a,b]$ and $f(a)=f(b)=0$.

Show that the two topological spaces arising from these metrics are homeomorphic.

Universal closure operation examples

Using the Divergence Theorem on the surface of a unit sphere

Let the Cauchy sequences $a_{n}$ and $a'_{n}$ be equivalent. If $b_{n}$ is Cauchy, then prove $a_{n}b_{n}$ is equivalent to $a'_{n}b_{n}$.

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