Question

Maximum value of the expression $|\sqrt{1+\sin2x}-\sqrt{1-\sin2x}|$ in $[0,\pi]$

score 171 · Answer 1 · 2015-12-02 07:31:05

171

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Maximum value of the expression $|\sqrt{1+\sin2x}-\sqrt{1-\sin2x}|$ in $[0,\pi]$

Published on 02 Dec 2015 - 7:31

score 30 · Answer 2 · 2015-12-03 18:35:06

30

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Computing $\lim_{n \to \infty} \sup_{x \in (0,1)}\left| \frac{1}{nx} \right|$

Published on 03 Dec 2015 - 18:35

score 30 · Answer 3 · 2015-12-03 19:21:21

30

Views

Supremum transformations with stochastic convergence

Published on 03 Dec 2015 - 19:21

score 60 · Answer 4 · 2015-12-04 02:45:26

60

Views

$f:S\subset\Bbb{R}^n\to\Bbb{R}$. Prove $\sup_{x,y\in S}|f(x)-f(y)|=\sup_{S}f-\inf_Sf$

Published on 04 Dec 2015 - 2:45

score 24.6k · Answer 5 · 2015-12-07 16:03:08

24.6k

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Sum of the supremum and supremum of a sum

Published on 07 Dec 2015 - 16:03

score 1.7k · Answer 6 · 2015-12-07 17:25:51

1.7k

Views

Supremum of minus a function

Published on 07 Dec 2015 - 17:25

score 1k · Answer 7 · 2015-12-08 15:49:07

1k

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Let $P(x)=(m^2+4m+5)x^2-4x+7,m\in R$.If $3\leq x\leq 5$,then find the minimum of the minimum value of $P(x).$

Published on 08 Dec 2015 - 15:49

score 416 · Answer 8 · 2015-12-08 17:16:17

416

Views

Given $\sup|f(x)|=A$ and $\sup|f''(x)|=C$, prove $\sup|f'(x)|\leq \sqrt{2AC}$

Published on 08 Dec 2015 - 17:16

score 43 · Answer 9 · 2026-04-03 11:42:36

43

Views

Why does $P(Z_{1}\leq x_{1},...,Z_{n}\leq x_{n},M>u) $ equal the following expression?

Published on 03 Apr 2026 - 11:42

score 170 · Answer 10 · 2015-12-08 19:35:43

170

Views

Find the supermum and infimum of a set

Published on 08 Dec 2015 - 19:35

score 215 · Answer 11 · 2015-12-09 09:18:27

215

Views

Problem about the proof of $\sup(AB) \le \sup(A)\sup(B)$

Published on 09 Dec 2015 - 9:18

score 148 · Answer 12 · 2015-12-09 11:43:51

148

Views

Supremum and Infimum of set

Published on 09 Dec 2015 - 11:43

score 693 · Answer 13 · 2015-12-11 13:38:56

693

Views

Supremum and infimum - Are those examples right?

Published on 11 Dec 2015 - 13:38

score 200 · Answer 14 · 2015-12-11 19:29:44

200

Views

How do I find supremum of this set?

Published on 11 Dec 2015 - 19:29

score 1.6k · Answer 15 · 2026-03-31 17:50:10

1.6k

Views

Power set of A is a complete lattice

Published on 31 Mar 2026 - 17:50

List Question

Maximum value of the expression $|\sqrt{1+\sin2x}-\sqrt{1-\sin2x}|$ in $[0,\pi]$

Computing $\lim_{n \to \infty} \sup_{x \in (0,1)}\left| \frac{1}{nx} \right|$

Supremum transformations with stochastic convergence

$f:S\subset\Bbb{R}^n\to\Bbb{R}$. Prove $\sup_{x,y\in S}|f(x)-f(y)|=\sup_{S}f-\inf_Sf$

Sum of the supremum and supremum of a sum

Supremum of minus a function

Let $P(x)=(m^2+4m+5)x^2-4x+7,m\in R$.If $3\leq x\leq 5$,then find the minimum of the minimum value of $P(x).$

Given $\sup|f(x)|=A$ and $\sup|f''(x)|=C$, prove $\sup|f'(x)|\leq \sqrt{2AC}$

Why does $P(Z_{1}\leq x_{1},...,Z_{n}\leq x_{n},M>u) $ equal the following expression?

Find the supermum and infimum of a set

Problem about the proof of $\sup(AB) \le \sup(A)\sup(B)$

Supremum and Infimum of set

Supremum and infimum - Are those examples right?

How do I find supremum of this set?

Power set of A is a complete lattice

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