Question

Show that if $A\subseteq B$, then inf $B\leq$ inf $A\leq$ sup $A \leq$ sup $B$

score 20.8k · Answer 1 · 2013-10-16 05:22:50

20.8k

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Show that if $A\subseteq B$, then inf $B\leq$ inf $A\leq$ sup $A \leq$ sup $B$

Published on 16 Oct 2013 - 5:22

score 2.8k · Answer 2 · 2013-10-20 09:20:51

2.8k

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What is the supremum and infimum of $n/(1+n^2)$ where $n$ is an element of $\mathbb{N}$?

Published on 20 Oct 2013 - 9:20

score 20k · Answer 3 · 2013-11-06 05:23:47

20k

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compact set always contains its supremum and infimum

Published on 06 Nov 2013 - 5:23

score 204 · Answer 4 · 2013-11-16 13:11:03

204

Views

Best way to explain how the Infimum and Supremum of this function are obtained...?

Published on 16 Nov 2013 - 13:11

score 345 · Answer 5 · 2013-11-20 15:22:02

345

Views

Additive properties of sequences: trying to understand Schnirelmann density

Published on 20 Nov 2013 - 15:22

score 1.5k · Answer 6 · 2013-11-22 04:57:04

1.5k

Views

Prove that the infimum is not attained for a set $M$

Published on 22 Nov 2013 - 4:57

score 1.1k · Answer 7 · 2026-03-30 07:11:26

1.1k

Views

Find the supremum, infimum, maximum and minimum

Published on 30 Mar 2026 - 7:11

score 98 · Answer 8 · 2026-02-23 06:05:41

98

Views

Question about Schnirelmann Density and Sumset: if $d(A) \ge \frac{1}{2}$ and $d(B) > 0$, wouldn't $d(A+B)=1$

Published on 23 Feb 2026 - 6:05

score 2.7k · Answer 9 · 2013-12-04 20:22:50

2.7k

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Bounded functions and infimum/supremum

Published on 04 Dec 2013 - 20:22

score 68 · Answer 10 · 2026-03-26 10:59:45

68

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Reasoning about Schnirelmann Density: Proving that $d(C) \ge d(A) + d(B)$

Published on 26 Mar 2026 - 10:59

score 376 · Answer 11 · 2013-12-18 16:28:47

376

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$\inf$ and $\sup$ of a set given by $\sum\limits_{k=1}^{n}\frac{a_{k}}{a_{k}+a_{k+1}+a_{k+2}}$

Published on 18 Dec 2013 - 16:28

score 1.6k · Answer 12 · 2013-12-20 13:01:06

1.6k

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Condition For A Set Having A Smallest Element

Published on 20 Dec 2013 - 13:01

score 172 · Answer 13 · 2013-12-31 16:19:40

172

Views

Inequality with infimum and supremum for $A \subseteq \bigcup_{n=1}^{\infty}A_n$

Published on 31 Dec 2013 - 16:19

score 206 · Answer 14 · 2014-01-04 21:05:07

206

Views

Infimum of pre-image of continuous function

Published on 04 Jan 2014 - 21:05

score 405 · Answer 15 · 2014-01-15 10:17:47

405

Views

Supremum and infimum of a set of numbers $\sum_{k=1}^n{\frac{a_k}{a_k+a_{k+1}+a_{k+2}}}$

Published on 15 Jan 2014 - 10:17

List Question

Show that if $A\subseteq B$, then inf $B\leq$ inf $A\leq$ sup $A \leq$ sup $B$

What is the supremum and infimum of $n/(1+n^2)$ where $n$ is an element of $\mathbb{N}$?

compact set always contains its supremum and infimum

Best way to explain how the Infimum and Supremum of this function are obtained...?

Additive properties of sequences: trying to understand Schnirelmann density

Prove that the infimum is not attained for a set $M$

Find the supremum, infimum, maximum and minimum

Question about Schnirelmann Density and Sumset: if $d(A) \ge \frac{1}{2}$ and $d(B) > 0$, wouldn't $d(A+B)=1$

Bounded functions and infimum/supremum

Reasoning about Schnirelmann Density: Proving that $d(C) \ge d(A) + d(B)$

$\inf$ and $\sup$ of a set given by $\sum\limits_{k=1}^{n}\frac{a_{k}}{a_{k}+a_{k+1}+a_{k+2}}$

Condition For A Set Having A Smallest Element

Inequality with infimum and supremum for $A \subseteq \bigcup_{n=1}^{\infty}A_n$

Infimum of pre-image of continuous function

Supremum and infimum of a set of numbers $\sum_{k=1}^n{\frac{a_k}{a_k+a_{k+1}+a_{k+2}}}$

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