Question

Find the maximum and minimum values of $x-\sin2x+\frac{1}{3}\sin 3x$ in $[-\pi,\pi]$

score 519 · Answer 1 · 2016-05-26 10:12:57

519

Views

Find the maximum and minimum values of $x-\sin2x+\frac{1}{3}\sin 3x$ in $[-\pi,\pi]$

Published on 26 May 2016 - 10:12

score 1.6k · Answer 2 · 2016-05-27 16:45:56

1.6k

Views

Infimum of distance between point and (closed) set

Published on 27 May 2016 - 16:45

score 42 · Answer 3 · 2016-05-28 16:10:44

42

Views

Prove that $M(|f|,S)-m(|f|,S)\leq M(f,S)-m(f,S)$

Published on 28 May 2016 - 16:10

score 229 · Answer 4 · 2026-03-26 04:59:06

229

Views

Hausdorff distance on power sets

Published on 26 Mar 2026 - 4:59

score 463 · Answer 5 · 2026-03-29 20:45:43

463

Views

How do I calculate the variation of a function?

Published on 29 Mar 2026 - 20:45

score 798 · Answer 6 · 2016-06-01 04:58:02

798

Views

Find the maximum and minimum values of $\sin^2\theta+\sin^2\phi$ when $\theta+\phi=\alpha$

Published on 01 Jun 2016 - 4:58

score 828 · Answer 7 · 2016-06-02 18:02:21

828

Views

Proof that if set A is contained in Set B, then the supremum of A is less than or equal to the supremum of B

Published on 02 Jun 2016 - 18:02

score 1.9k · Answer 8 · 2016-06-03 11:07:04

1.9k

Views

Supremum property of functions

Published on 03 Jun 2016 - 11:07

score 306 · Answer 9 · 2016-06-03 13:02:43

306

Views

Supremum property of a family of functions

Published on 03 Jun 2016 - 13:02

score 68 · Answer 10 · 2026-04-03 10:39:39

68

Views

$\inf_{x\in A}{\limsup_nd(x_n, x)} = \limsup_n[\inf_{x\in A}d(x_n, x)] $ for compact subset $A$.

Published on 03 Apr 2026 - 10:39

score 65 · Answer 11 · 2016-06-04 17:05:49

65

Views

Show that $\ker(T)=\{\varphi _n\mid\lambda_n\neq 0\}^\perp $

Published on 04 Jun 2016 - 17:05

score 99 · Answer 12 · 2026-04-04 08:17:59

99

Views

Showing that a "convolution" operator is associative

Published on 04 Apr 2026 - 8:17

score 363 · Answer 13 · 2016-06-07 17:27:30

363

Views

Finding $\inf(S)$ and $\sup(S)$ for $S = \{\frac{(m+n)^2}{2^{mn}} : m,n \in \mathbb{N}\}$

Published on 07 Jun 2016 - 17:27

score 27 · Answer 14 · 2016-06-09 06:50:27

27

Views

Which of the inequality holds?

Published on 09 Jun 2016 - 6:50

score 37 · Answer 15 · 2016-06-09 15:01:07

37

Views

Which of following inequality holds?

Published on 09 Jun 2016 - 15:01

List Question

Find the maximum and minimum values of $x-\sin2x+\frac{1}{3}\sin 3x$ in $[-\pi,\pi]$

Infimum of distance between point and (closed) set

Prove that $M(|f|,S)-m(|f|,S)\leq M(f,S)-m(f,S)$

Hausdorff distance on power sets

How do I calculate the variation of a function?

Find the maximum and minimum values of $\sin^2\theta+\sin^2\phi$ when $\theta+\phi=\alpha$

Proof that if set A is contained in Set B, then the supremum of A is less than or equal to the supremum of B

Supremum property of functions

Supremum property of a family of functions

$\inf_{x\in A}{\limsup_nd(x_n, x)} = \limsup_n[\inf_{x\in A}d(x_n, x)] $ for compact subset $A$.

Show that $\ker(T)=\{\varphi _n\mid\lambda_n\neq 0\}^\perp $

Showing that a "convolution" operator is associative

Finding $\inf(S)$ and $\sup(S)$ for $S = \{\frac{(m+n)^2}{2^{mn}} : m,n \in \mathbb{N}\}$

Which of the inequality holds?

Which of following inequality holds?

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