Question

Let $X$ be a nonempty set and let $f:X \to \Bbb R$ be such that $f[X]:=\{f(x): x \in X\}$ is a bounded subset of $\Bbb R$.

score 900 · Answer 1 · 2019-09-08 20:47:19

900

Views

Let $X$ be a nonempty set and let $f:X \to \Bbb R$ be such that $f[X]:=\{f(x): x \in X\}$ is a bounded subset of $\Bbb R$.

Published on 08 Sep 2019 - 20:47

score 316 · Answer 2 · 2019-09-10 04:10:56

316

Views

Real analysis - proof concerning infimum and supremum

Published on 10 Sep 2019 - 4:10

score 52 · Answer 3 · 2026-03-25 07:43:43

52

Views

How to estimate $dist (a,Tx)$ where $Tx$ is closed and bounded.

Published on 25 Mar 2026 - 7:43

score 142 · Answer 4 · 2019-09-12 22:55:15

142

Views

Does $\{π+1/n :\, n \in \Bbb N\}$ have an infimum?

Published on 12 Sep 2019 - 22:55

score 73 · Answer 5 · 2019-09-13 20:40:00

73

Views

Let $H$ be a nonempty set and let $f:H\to\mathbb R$ be such that $f(H)=\{f(h): h \in H\}$ is a bounded subset of $\mathbb R$. Prove that ...

Published on 13 Sep 2019 - 20:40

score 37 · Answer 6 · 2019-09-14 09:10:13

37

Views

Infimum of a measure

Published on 14 Sep 2019 - 9:10

score 170 · Answer 7 · 2019-09-15 22:42:07

170

Views

Supremum and Infimum of the $nth$ Tail

Published on 15 Sep 2019 - 22:42

score 42 · Answer 8 · 2019-09-19 17:59:29

42

Views

Is it correct to exchange the $\lim$ and $\sup$ in the case $g$ is not continuous?

Published on 19 Sep 2019 - 17:59

score 84 · Answer 9 · 2026-03-25 22:05:36

84

Views

$z_{n+1} = v z_n ^5 - (v-1) z_n $ with $ v = 3,06328648997749...$

Published on 25 Mar 2026 - 22:05

score 53 · Answer 10 · 2026-03-28 03:02:30

53

Views

Finding the terms of a continued fraction

Published on 28 Mar 2026 - 3:02

score 68 · Answer 11 · 2019-09-22 15:46:06

68

Views

understanding the definition of Cantor-Lebesgue function $\emptyset$ on the cantor set in Royden.

Published on 22 Sep 2019 - 15:46

score 375 · Answer 12 · 2019-09-24 01:22:48

375

Views

Real Analysis Inf and Sup question

Published on 24 Sep 2019 - 1:22

score 4k · Answer 13 · 2019-09-25 18:29:36

4k

Views

$\sup (1/A) = 1/\inf (A)$, for $\inf (A) > 0$

Published on 25 Sep 2019 - 18:29

score 30 · Answer 14 · 2019-09-26 11:46:22

30

Views

Showing finite additivity of a given measure

Published on 26 Sep 2019 - 11:46

score 354 · Answer 15 · 2019-09-27 09:32:41

354

Views

Is the supremum of a Brownian motion almost surely finite?

Published on 27 Sep 2019 - 9:32

List Question

Let $X$ be a nonempty set and let $f:X \to \Bbb R$ be such that $f[X]:=\{f(x): x \in X\}$ is a bounded subset of $\Bbb R$.

Real analysis - proof concerning infimum and supremum

How to estimate $dist (a,Tx)$ where $Tx$ is closed and bounded.

Does $\{π+1/n :\, n \in \Bbb N\}$ have an infimum?

Let $H$ be a nonempty set and let $f:H\to\mathbb R$ be such that $f(H)=\{f(h): h \in H\}$ is a bounded subset of $\mathbb R$. Prove that ...

Infimum of a measure

Supremum and Infimum of the $nth$ Tail

Is it correct to exchange the $\lim$ and $\sup$ in the case $g$ is not continuous?

$z_{n+1} = v z_n ^5 - (v-1) z_n $ with $ v = 3,06328648997749...$

Finding the terms of a continued fraction

understanding the definition of Cantor-Lebesgue function $\emptyset$ on the cantor set in Royden.

Real Analysis Inf and Sup question

$\sup (1/A) = 1/\inf (A)$, for $\inf (A) > 0$

Showing finite additivity of a given measure

Is the supremum of a Brownian motion almost surely finite?

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