Question

change the order of sup and inf

score 1.7k · Answer 1 · 2015-09-27 09:11:35

1.7k

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change the order of sup and inf

Published on 27 Sep 2015 - 9:11

score 6.2k · Answer 2 · 2015-09-28 00:24:50

6.2k

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Prove that a set $S$ of number has a maximum if and only if it is bounded above and $\sup S$ belongs to $S$

Published on 28 Sep 2015 - 0:24

score 1.2k · Answer 3 · 2015-09-28 10:41:33

1.2k

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What is the value of $\alpha$ for which the volume of the regular rectangular pyramid is greatest?

Published on 28 Sep 2015 - 10:41

score 317 · Answer 4 · 2015-09-28 10:50:48

317

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Upper/lower sum definition (spivak)

Published on 28 Sep 2015 - 10:50

score 1.3k · Answer 5 · 2015-09-28 11:05:07

1.3k

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How many extrema for the function $f(x)=3x^4-4x^3+6x^2+ax+b$

Published on 28 Sep 2015 - 11:05

score 1.4k · Answer 6 · 2015-09-29 08:55:19

1.4k

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If $c \in \mathbb{R}, c<0, A \subseteq \mathbb{R}$ prove that $\sup(cA) = c \cdot \inf(A)$

Published on 29 Sep 2015 - 8:55

score 12.2k · Answer 7 · 2015-09-29 12:22:17

12.2k

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The Supremum and Infimum of a sequence of measurable functions is measurable

Published on 29 Sep 2015 - 12:22

score 1.5k · Answer 8 · 2015-09-30 10:04:17

1.5k

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Three sides of a trapezium are each equal to $k$ cm.Prove that the greatest possible area of the trapezium is $\frac{3\sqrt3 k^2}{4}$ sq cm.

Published on 30 Sep 2015 - 10:04

score 801 · Answer 9 · 2015-10-01 19:29:09

801

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How to investigate the $\limsup$, the $\liminf$, the $\sup$, and especially the $\inf$ of the sequence $(\sqrt[n]{|\sin{n}|})_{n=1}^{\infty}$?

Published on 01 Oct 2015 - 19:29

score 4.8k · Answer 10 · 2015-10-02 23:01:26

4.8k

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Proof that $\inf A = \sup B$

Published on 02 Oct 2015 - 23:01

score 70 · Answer 11 · 2015-10-04 17:52:21

70

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Is this a valid way to prove a beginer supremum question

Published on 04 Oct 2015 - 17:52

score 1.9k · Answer 12 · 2015-10-06 11:35:36

1.9k

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existence of the supremum.

Published on 06 Oct 2015 - 11:35

score 9.8k · Answer 13 · 2015-10-07 01:57:10

9.8k

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Show that sup$AB$=(sup$A$)(sup$B$)

Published on 07 Oct 2015 - 1:57

score 289 · Answer 14 · 2015-10-07 03:10:14

289

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Find the supremum, infimum, maximum and minimum of A

Published on 07 Oct 2015 - 3:10

score 450 · Answer 15 · 2015-10-07 05:36:37

450

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Give that $S = \{x \in\mathbb{R} \colon x^2<x\}$, prove that $\sup S =1$

Published on 07 Oct 2015 - 5:36

List Question

change the order of sup and inf

Prove that a set $S$ of number has a maximum if and only if it is bounded above and $\sup S$ belongs to $S$

What is the value of $\alpha$ for which the volume of the regular rectangular pyramid is greatest?

Upper/lower sum definition (spivak)

How many extrema for the function $f(x)=3x^4-4x^3+6x^2+ax+b$

If $c \in \mathbb{R}, c<0, A \subseteq \mathbb{R}$ prove that $\sup(cA) = c \cdot \inf(A)$

The Supremum and Infimum of a sequence of measurable functions is measurable

Three sides of a trapezium are each equal to $k$ cm.Prove that the greatest possible area of the trapezium is $\frac{3\sqrt3 k^2}{4}$ sq cm.

How to investigate the $\limsup$, the $\liminf$, the $\sup$, and especially the $\inf$ of the sequence $(\sqrt[n]{|\sin{n}|})_{n=1}^{\infty}$?

Proof that $\inf A = \sup B$

Is this a valid way to prove a beginer supremum question

existence of the supremum.

Show that sup$AB$=(sup$A$)(sup$B$)

Find the supremum, infimum, maximum and minimum of A

Give that $S = \{x \in\mathbb{R} \colon x^2<x\}$, prove that $\sup S =1$

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