Question

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

score 103 · Answer 1 · 2026-04-16 21:59:19

103

Views

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 16 Apr 2026 - 21:59

score 745 · Answer 2 · 2026-04-14 01:45:53

745

Views

Rudin Theorem 3.44 explanation

Published on 14 Apr 2026 - 1:45

score 70 · Answer 3 · 2026-04-11 10:33:16

70

Views

Proof Verification: Implication from Field Axioms

Published on 11 Apr 2026 - 10:33

score 8.1k · Answer 4 · 2026-04-29 12:49:09

8.1k

Views

Every k-cell is compact / alternative proof

Published on 29 Apr 2026 - 12:49

score 76 · Answer 5 · 2026-04-11 20:27:50

76

Views

Application dominated convergence

Published on 11 Apr 2026 - 20:27

score 46 · Answer 6 · 2026-04-13 19:38:56

46

Views

Maximum of non differentiable function

Published on 13 Apr 2026 - 19:38

score 376 · Answer 7 · 2026-04-29 12:50:50

376

Views

Interpretation of Jensen's inequality for the multivariate case

Published on 29 Apr 2026 - 12:50

score 76 · Answer 8 · 2026-04-12 03:32:30

76

Views

$L_{\infty}$ and simple function

Published on 12 Apr 2026 - 3:32

score 696 · Answer 9 · 2026-04-29 12:42:47

696

Views

If $M$ is the span of a finite orthonormal set in a Hilbert space then $M$ is closed

Published on 29 Apr 2026 - 12:42

score 30 · Answer 10 · 2026-04-13 16:05:23

30

Views

Proving special case where partial derivatives existing implies differentiability

Published on 13 Apr 2026 - 16:05

score 34 · Answer 11 · 2026-03-28 13:38:43

34

Views

Is the following distance function (measuring the distance from a vector to a set) a continuous function?

Published on 28 Mar 2026 - 13:38

score 147 · Answer 12 · 2026-04-29 12:42:50

147

Views

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

Published on 29 Apr 2026 - 12:42

score 87 · Answer 13 · 2026-04-16 20:05:41

87

Views

For any $f\in L^1(S^1)$ and let $y\in\mathbb{R}$, let $f_y$ be defined as $f_y(x)=f(x+y)$. Prove that $\lim_{y\to 0 } ||f_y-f||=0.$

Published on 16 Apr 2026 - 20:05

score 1.4k · Answer 14 · 2026-03-25 03:21:16

1.4k

Views

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 87 · Answer 15 · 2026-04-14 00:53:01

87

Views

Counter example: Derivative value at a single point doesn't imply function monotony

Published on 14 Apr 2026 - 0:53

List Question

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

Rudin Theorem 3.44 explanation

Proof Verification: Implication from Field Axioms

Every k-cell is compact / alternative proof

Application dominated convergence

Maximum of non differentiable function

Interpretation of Jensen's inequality for the multivariate case

$L_{\infty}$ and simple function

If $M$ is the span of a finite orthonormal set in a Hilbert space then $M$ is closed

Proving special case where partial derivatives existing implies differentiability

Is the following distance function (measuring the distance from a vector to a set) a continuous function?

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

For any $f\in L^1(S^1)$ and let $y\in\mathbb{R}$, let $f_y$ be defined as $f_y(x)=f(x+y)$. Prove that $\lim_{y\to 0 } ||f_y-f||=0.$

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

Counter example: Derivative value at a single point doesn't imply function monotony

Trending Questions

Popular # Hahtags

Popular Questions