Question

A problem regarding $\sin(4x) = \sin(2x)$

score 158 · Answer 1 · 2018-06-28 10:14:03

158

Views

A problem regarding $\sin(4x) = \sin(2x)$

Published on 28 Jun 2018 - 10:14

score 255 · Answer 2 · 2026-03-28 04:35:47

255

Views

$\operatorname{Hom}(-,A) \cong \operatorname{Hom}(-,A') \Rightarrow A \cong A'$, proof verification

Published on 28 Mar 2026 - 4:35

score 36 · Answer 3 · 2018-06-28 11:51:06

36

Views

Constructing the limit of functions in $C[a,b]$ with maximum value norm

Published on 28 Jun 2018 - 11:51

score 869 · Answer 4 · 2018-06-28 16:21:24

869

Views

Prove that $f(x) = \cos(1/x)$ is not periodic without using calculus

Published on 28 Jun 2018 - 16:21

score 171 · Answer 5 · 2026-03-25 12:49:57

171

Views

Prove that $ \liminf_{t\to+\infty} f'(t)\leq 0 \leq \limsup_{t\to+\infty} f'(t) $

Published on 25 Mar 2026 - 12:49

score 251 · Answer 6 · 2026-03-25 23:39:22

251

Views

Determination of the unitary irreps of $\mathbb{R}$ using Stone's theorem

Published on 25 Mar 2026 - 23:39

score 139 · Answer 7 · 2018-06-29 00:53:04

139

Views

If $f(x) \leq a \leq g(x)$, $f(x) \leq b \leq g(x)$, and for all $\epsilon > 0$ there exists $x$ such that $g(x) - f(x) < \epsilon$, then $a = b$?

Published on 29 Jun 2018 - 0:53

score 5.4k · Answer 8 · 2018-06-29 01:26:28

5.4k

Views

Proof that $\sigma$-algebra is closed under intersection

Published on 29 Jun 2018 - 1:26

score 818 · Answer 9 · 2026-03-25 09:43:10

818

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Let $A\in\mathbb{R}^{n\times n}$ be positive definite and symmetric. Show that $\langle x,y \rangle_A:=\langle Ax,y \rangle$ defines an inner product.

Published on 25 Mar 2026 - 9:43

score 364 · Answer 10 · 2026-03-25 21:49:56

364

Views

Check the proof that $f(x) = \cos({x})\cdot\cos({\sqrt{3}x})$ is not periodic

Published on 25 Mar 2026 - 21:49

score 87 · Answer 11 · 2018-06-29 15:48:07

87

Views

Counting binary words by runs

Published on 29 Jun 2018 - 15:48

score 719 · Answer 12 · 2018-06-29 17:18:29

719

Views

Proof of equivalence of alternative definition of $\lambda$-system

Published on 29 Jun 2018 - 17:18

score 94 · Answer 13 · 2018-06-29 22:32:55

94

Views

$\Bbb Q$ is dense in $\Bbb R$

Published on 29 Jun 2018 - 22:32

score 604 · Answer 14 · 2026-03-25 20:12:41

604

Views

$f_n \rightharpoonup f$, $g_n \to g$ in measure, $\|g_n\|_{L^\infty} \leq M$, then $f_n g_n \rightharpoonup fg$,

Published on 25 Mar 2026 - 20:12

score 65 · Answer 15 · 2018-06-30 06:32:34

65

Views

Set equivalence - Zorich's real analysis

Published on 30 Jun 2018 - 6:32

List Question

A problem regarding $\sin(4x) = \sin(2x)$

$\operatorname{Hom}(-,A) \cong \operatorname{Hom}(-,A') \Rightarrow A \cong A'$, proof verification

Constructing the limit of functions in $C[a,b]$ with maximum value norm

Prove that $f(x) = \cos(1/x)$ is not periodic without using calculus

Prove that $ \liminf_{t\to+\infty} f'(t)\leq 0 \leq \limsup_{t\to+\infty} f'(t) $

Determination of the unitary irreps of $\mathbb{R}$ using Stone's theorem

If $f(x) \leq a \leq g(x)$, $f(x) \leq b \leq g(x)$, and for all $\epsilon > 0$ there exists $x$ such that $g(x) - f(x) < \epsilon$, then $a = b$?

Proof that $\sigma$-algebra is closed under intersection

Let $A\in\mathbb{R}^{n\times n}$ be positive definite and symmetric. Show that $\langle x,y \rangle_A:=\langle Ax,y \rangle$ defines an inner product.

Check the proof that $f(x) = \cos({x})\cdot\cos({\sqrt{3}x})$ is not periodic

Counting binary words by runs

Proof of equivalence of alternative definition of $\lambda$-system

$\Bbb Q$ is dense in $\Bbb R$

$f_n \rightharpoonup f$, $g_n \to g$ in measure, $\|g_n\|_{L^\infty} \leq M$, then $f_n g_n \rightharpoonup fg$,

Set equivalence - Zorich's real analysis

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