Question

Proving convergence by definition

score 60 · Answer 1 · 2026-03-25 20:12:53

60

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Proving convergence by definition

Published on 25 Mar 2026 - 20:12

score 60 · Answer 2 · 2026-04-07 02:04:36

60

Views

Seperation of variables different solutions

Published on 07 Apr 2026 - 2:04

score 101 · Answer 3 · 2026-03-24 22:07:35

101

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Deriving the closed form of $M_{n+1} =\frac{2^{2n+1}}{M_n}\left(\sqrt{1+ 2^{-2n}M^2_{n}}-1\right)$

Published on 24 Mar 2026 - 22:07

score 140 · Answer 4 · 2026-04-06 08:30:16

140

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Finite sub-additivity of outer measure; is my proof correct?

Published on 06 Apr 2026 - 8:30

score 1.4k · Answer 5 · 2026-03-25 03:21:16

1.4k

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Let $f : \mathbb{R}^2 \to \mathbb{R}^2$ be defined by the equation $f(x, y) = (e^x \cos y, e^x \sin y)$

Published on 25 Mar 2026 - 3:21

score 51 · Answer 6 · 2026-04-06 20:27:43

51

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Prove that for all $\lim_{n\to\infty} \frac 1n \sum_{j=0}^{n-1} \chi_B(T^{j}(x_0)= \frac 1k \sum_{j=0}^{k-1} \chi_B(T^{j}(x_0)$

Published on 06 Apr 2026 - 20:27

score 43 · Answer 7 · 2026-04-06 21:51:10

43

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Prove that the rotation map $T : \Bbb T → \Bbb T$ defined as $T(x) = x + 3/4$ mod $1$ is not ergodic

Published on 06 Apr 2026 - 21:51

score 47 · Answer 8 · 2018-02-12 04:21:28

Show that if $\lim\limits_{j \to \infty} b_j = \beta$ and $\beta < 0$ then $\exists$ $ N > \mathbb{N} $ such that j > N $\Rightarrow$ $b_j < 0 $.

score 31 · Answer 9 · 2026-03-30 01:33:31

31

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How to solve a non-linear system of equations where the unknown is a matrix?

Published on 30 Mar 2026 - 1:33

score 42 · Answer 10 · 2026-03-24 22:01:31

42

Views

Parametrisation of curve

Published on 24 Mar 2026 - 22:01

score 231 · Answer 11 · 2026-04-06 03:55:00

231

Views

Are there any online resources that are freely availible, on Complex Analysis, that you recommend?

Published on 06 Apr 2026 - 3:55

score 60 · Answer 12 · 2018-02-12 12:26:12

60

Views

How to prove that $\exists c_1,c_2>0, F(t)\geq c_1 |t|^{\theta}-c_2$?

Published on 12 Feb 2018 - 12:26

score 628 · Answer 13 · 2026-03-26 12:26:55

628

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Let $f : \mathbb{R}^n\to \mathbb{R}^n$ be given by the equation $f(x) = ||x||^2·x$. Show that $f$ is of class $C^{\infty}$ and that $f$

Published on 26 Mar 2026 - 12:26

score 43 · Answer 14 · 2026-03-26 12:44:31

43

Views

How we obtain this limit on an integral?

Published on 26 Mar 2026 - 12:44

score 121 · Answer 15 · 2026-03-26 15:17:11

121

Views

existence of a finite set which is $\epsilon$-dense (compactness)

Published on 26 Mar 2026 - 15:17

List Question

Proving convergence by definition

Seperation of variables different solutions

Deriving the closed form of $M_{n+1} =\frac{2^{2n+1}}{M_n}\left(\sqrt{1+ 2^{-2n}M^2_{n}}-1\right)$

Finite sub-additivity of outer measure; is my proof correct?

Let $f : \mathbb{R}^2 \to \mathbb{R}^2$ be defined by the equation $f(x, y) = (e^x \cos y, e^x \sin y)$

Prove that for all $\lim_{n\to\infty} \frac 1n \sum_{j=0}^{n-1} \chi_B(T^{j}(x_0)= \frac 1k \sum_{j=0}^{k-1} \chi_B(T^{j}(x_0)$

Prove that the rotation map $T : \Bbb T → \Bbb T$ defined as $T(x) = x + 3/4$ mod $1$ is not ergodic

Show that if $\lim\limits_{j \to \infty} b_j = \beta$ and $\beta < 0$ then $\exists$ $ N > \mathbb{N} $ such that j > N $\Rightarrow$ $b_j < 0 $.

How to solve a non-linear system of equations where the unknown is a matrix?

Parametrisation of curve

Are there any online resources that are freely availible, on Complex Analysis, that you recommend?

How to prove that $\exists c_1,c_2>0, F(t)\geq c_1 |t|^{\theta}-c_2$?

Let $f : \mathbb{R}^n\to \mathbb{R}^n$ be given by the equation $f(x) = ||x||^2·x$. Show that $f$ is of class $C^{\infty}$ and that $f$

How we obtain this limit on an integral?

existence of a finite set which is $\epsilon$-dense (compactness)

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